A salesperson receives a weekly base salary of $600 on a quota of $4500. On the next $2000, she receives a commission of 11 %. On any additional sales, the commission rate is 15%. Calculate her gross earnings for a week in which her sales total $

Answers

Answer 1

The salesperson's gross earnings for a week, based on the informations, equals to $1,195.

What does a gross earnings means?

An employees' gross pay is what they earn before taxes, benefits, and other payroll deductions are deducted from their pay. It is opposite of net pay, also known as take-home pay which is the amount left over after all withholdings are deducted.

Data

Weekly base salary of $600 on a quota of $4500.

On the next $2000, she receives a commission of 11 %.

On any additional sales, the commission rate is 15%.

Gross earning is computed as:

= Base salary + (First sales *11%) + (Additional sales*15%)

= $600 + ($2,000*11%) + ($2,500 * 15%)

= $1,195

Read more about gross earnings

brainly.com/question/13793671

#SPJ1


Related Questions

Which graph represents an exponential decay function?

Answers

The graph that represents an exponential decay function is the second graph.

For you to determine which of the graphs represents an exponential decay, we will need to check the curve that passes through or lies on the x-axis.

we can draw a graph by putting the value of x and we are getting the value of y in this way we get the coordinates of a point

From both figures, we can see that the curve of the second graph almost lies on the x-axis as it curves downwards. This makes it an exponential decay function.

Hence the graph that represents an exponential decay function is the second graph.

Learn more on exponential here:

brainly.com/question/12940982

#SPJ4

complete question is

Which description matches the function represented by this graph?

A. exponential growth

B. linear growth

C. linear decay

D. exponential decay

Answer:

B or 2

Step-by-step explanation:

The answer above is correct.

5. THOUGHT PROVOKING
To find the arithmetic mean of n numbers, divide
the sum of the numbers by n. To find the geometric
mean of n numbers a₁, a₂, a3,..., an, take the nth
root of the product of the numbers.
geometric mean =
a₁a₂ a3 •...• An
Compare the arithmetic mean to the geometric
mean of n numbers.

Answers

Arithmetic mean deals will middle number while geometric mean deals with typical value

How to compare the different types of means

From the question, we have

Arithmetic mean and Geometric mean

The arithmetic mean is the sum of a set of numbers divided by the number of items in the set, and is often used to find the "middle" value of a dataset.

On the other hand, the geometric mean is the nth root of the product of a set of numbers and is often used to find the "typical" value of a dataset when dealing with quantities that can increase or decrease exponentially.

The above definitions imply that the difference between the arithmetic mean and geometric mean can be significant when dealing with sets of numbers that have large variations in values.

In general, the geometric mean will be less than or equal to the arithmetic mean.

Read more about mean at

https://brainly.com/question/20118982

#SPJ1

help on 4 and 6 please!!

Answers

The measures of the angles are Z = 146 degrees, X and W = 34 degrees and B = 119 degrees

How to determine the measure of the angles

Question 4

From the question, we have

<Y = 146 degrees

Because the lines XY and WZ are equal, it means that

<Z = 146

So, we have

X = W = (180 - 146)

Evaluate

X = W = 34

Question 6

Here, we have

Sum of the angles = 180 degrees

This gives

9x + 2 + 5x - 4 = 180

Evaluate the like terms

14x = 182

Divide by 14

x = 13

So, we have

B = 9 * 13 + 2

B = 119 degrees

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

NO LINKS!!
Please help me with #14.

Answers

Answer:

a)  Domain:  (-∞, 10)

b)  k⁻¹(8) = 6

c)  CBD

d)  Range:  (-∞, 7)

e)  k⁻¹(0) = 4

f)  x = -5

Step-by-step explanation:

Part a

The domain of the inverse of a function is the same as the range of the original function.  

Therefore, the domain of the inverse function is:

(-∞, 10)

Part b

The inverse of a function is its reflection in the line y = x.

Therefore, given that function k(6) = 8 then:

k⁻¹(8) = 6

Part c

The inverse of a function is its reflection in the line y = x.

We cannot find k⁻¹(-9) since we have not been given the value of x when k(x) = -9.

Part d

The range of the inverse of a function is the same as the domain of the original function.  

Therefore, the range of the inverse function is:

(-∞, 7)

Part e

The inverse of a function is its reflection in the line y = x.

Therefore, given that function k(4) = 0 then:

k⁻¹(0) = 4

Part f

The zero of the inverse function is the y-intercept of the original function.  Therefore, given that k(0) = -5 then:

k⁻¹(-5) = 0

Therefore, x = -5 is a zero of k⁻¹(x).

Mike is buying dinner for his family. He buys 5 lemonades that each cost $1.50, and 5 hamburgers that each cost $8.25. If
the prices include tax, and he also leaves a $6 tip, how much does he spend in all? Write equations to show your work.
Write an equation for the cost of the lemonades. Select the correct choice below, and fill in the answer box to complete
your choice.
(Do not include the $ symbol in your answer.)
OA. 5x1.50 +6=
ETTE
OB. 1.50+5=
OC. 5x1.50 =
OD. 1.50+5+6=

Answers

The linear equation for the cost of lemonades is 1.50*x+6 where x=5 i.e. A   and he spends $54.75 in total.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Cost of lemonade=$1.5, number of lemonades=5

Cost of hamburger=$8.25, number of hamburgers=5

Tip=$6

Hence,

        Total cost=5*1.5+5*8.25+6

          Total cost =$54.75

Cost of lemonades only = 5*1.5+6

In type of linear equation  1.50*x+6 where x=5

To know more about linear equations visit the link

https://brainly.com/question/29739212?referrer=searchResults

#SPJ1

25. There were 13 gummies in a packet. Mrs. Sooklal bought a few packets of gummies. After giving 3 sweets to each of her 27 students, she has 10 gummies remaining, how many packets of gummies did she purchase?​

Answers

7
27x3=81
81+10=91
91/13=7

1 The equation, A = P(1 + 0.037t), represents the amount of money earned on a savings account with 3.7% annual simple interest. If the amount after 5 years is equal to $1,422, what is the amount of the principal investment? $1,200 $1,422 $274.25 $294.86

Answers

The amount of the principal investment is, $1200. So option A is correct

What is simple interest?

Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).

Every time we calculate simple interest the principal values will be the same unlike compound interest.

Formula;    Simple Interest(I) =  P × R × T/100

A = P(1 + RT)

Given that,

A = $1422

R =  3.7%

T =  5 year

P  = ?

After 5 year total amount

1422 = P ( 1 + 0.037 × 5)

P  =   1422/( 1 + 0.037 × 5)

   =    1422/1.185

P  =    1200

Hence, the principal amount is $1200

To know more about Interest check:

brainly.com/question/29480777

#SPJ1

what’s the geometric mean of 6 and 1/2

Answers

Answer:

1.7320508075689

when ur answering please just give the answer! thank uuu! :)

Answers

The equation of the exponential function is y = 0.2⋅2^x

Find the equation of the exponential function

The steps for this process are as follows:

Step 1: Set up the equation.

The equation of an exponential function has the form y = a⋅b^x

where a and b are constants and b is greater than 0 and not equal to 1.

Step 2: Find the constants.

We can use the given points to find the constants in the equation. For example, when x = 0, y = 0.2.

So we can set 0.2 = a⋅b^0.

This means that a = 0.2 and b^0 = 1,

so b = 1.

Step 3: Write the equation.

Substituting a = 0.2 and b = 1 into the equation gives us y = 0.2⋅2^x.

This is the equation of the exponential function represented by the table.

To learn more about exponential function refer :

brainly.com/question/30382041

#SPJ1

The circle graph shows the results of a national survey on the most popular afternoon activities of seventh graders. What percent of those students surveyed said that their favorite afternoon activity is playing video games?

Answers

Answer:

it is easy to add all the numbers up then you will get 77 then tell me how many number should you add to get to 100 it is easy trust me

Step-by-step explanation:

shatter cones are key features that uniquely characterize impact structures (i.e., their presence provides evidence that an impact occurred). shatter cone surfaces exhibit a texture with a series of intersecting ridges that produce its conical geometry. based on the labeled version below, what is the general direction in which the shatter cone ridges converge (or point)? choose one: a. s b. e c. w d. n

Answers

As per the cone surface, the general direction in which the shatter cone ridges converge is south.

The term cone in math is defined as a three-dimensional shape in geometry that narrows smoothly from a flat base  to a point called the apex or vertex.

Here we have given that Shatter cones are key features that uniquely characterize impact structures

In this one their presence provides evidence that an impact occurred. Here we also know that the Shatter cone surfaces exhibit a texture with a series of intersecting ridges that produce its conical geometry.

Based on the definition of cone surface we have identified that the the correct  option is (a) that is the south.

To know more about cone here.

https://brainly.com/question/16394302

#SPJ4

49, 34, and 48 students are selected from the sophomore, junior, and senior classes with 496, 348, and 481 students respectively.

Answers

The sampling used in this situation is Stratified sampling
In the question, students are selected from subgroups of Sophomore, Junior, and Senior classes.

We are told that 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.

This means that the sample numbers of 49, 34 and 48 students were selected in proportion to the subgroup sizes of 496, 348, and 481 students respectively.

Thus, due to the fact that subgroups were selected & that sample number of students were also selected in proportion to their respective subgroup sizes.

This is, therefore, a stratified sampling.

To learn more about sampling, visit:

brainly.com/question/13287171

#SPJ4

Q: 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. Identify which type of sampling is used and why?

G(-3,-2). What would be the reflection point G

Answers

The reflection of point G across the x-axis would be at (-3, 2).

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The coordinates of point G in the question are (-3,-2)

When a point is reflected across the x-axis, the x-coordinate remains the same, but the sign of the y-coordinate is changed.

Therefore, the reflection of point G, which is located at (-3, -2), across the x-axis would be at (-3, 2).

The x-coordinate is the same, but the y-coordinate has changed from negative to positive.

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ1

The question seems incomplete, the completed question would be as:

The coordinates of point G are (-3,-2)

What would be the reflection point G across the x-axis?

What is the value of 3h(2) + 4g(1)

Answers

The value of 3h(2) + 4g(1) is 39

How to evaluate a given mathematical expression with variables if values of the variables are known?

You can simply replace those variables in function with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

Given;

h(x)= 3x        x<2

     = 4x+1     x>2

g(x)= x^2+2   x<3

     = x^3        x>3

Now, substituting the values;

3h(2)= 3*(4*2+1)

=3*9

=27

4g(1)= 4(1^2 + 2)

=4(3)

=12

3h(2)+4g(1)=27+12

=39

Therefore, the answer of the function will be 39

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

#SPJ1

Find the equation of the line with slope = 7 and passing through (2,19)

Answers

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{19})\hspace{10em} \stackrel{slope}{m} ~=~ 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{19}=\stackrel{m}{ 7}(x-\stackrel{x_1}{2}) \\\\\\ y-19=7x-14\implies {\Large \begin{array}{llll} y=7x+5 \end{array}}[/tex]

Find the value of x PLEASE I NEED HELPP :(

Answers

Answer: [tex]2\sqrt{13}-\sqrt{697}[/tex]

Step-by-step explanation:

Since ABD is a right triangle, 14^2 = 12^2 + BD^2

196 = 144 + BD^2

52 = BD^2

BD = [tex]\sqrt{52} = 2\sqrt{13}[/tex]

ADC is also a right triangle, so 29^2 = 12^2 + DC^2

841 = 144 + DC^2

DC^2 = 697

DC = [tex]\sqrt{697}[/tex]

Since x = BD + DC,

x = [tex]2\sqrt{13} +\sqrt{697}[/tex] :>

At the start of a trip, you fill up your car's fuel tank with gas. After you drive for x hours, the amount y (in gallons) of gas remaining is given by the equation y = 18 - 2x.
a. Find the x-intercept and the y-intercept of the given equation's
graph. Use the intercepts to graph the equation.
b. Interpret What real-life quantities do the x- and y-intercepts
represent in this situation?
c. After how many hours of driving do you have only tank of gas left?

Answers

Use the intercepts to graph the equation y = 18-2x

What is meant by graph ?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.A graph that has any two vertices connected by a path is said to be connected. Any two vertices or nodes in a disconnected graph are those that are separated by a path.Graph that completes a cycle is called a cycle graph. Complete Graph: A graph is said to be complete when every pair of vertices is connected by an edge.A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. The edges in the graph connect any two nodes, and the nodes themselves are also known as vertices.

Interpret What real-life quantities do the x- and y-intercepts

represent in this situation:

when x = 0, y = 18,  when y = 0 x = 9

The x intercept is 9,  y intercept is 18.

After 9 hours the gas is run not .

The amount of gas in a car when it is not running

18 × 1/4 = 4.5

4.5 = 18-2x

x= 6.75 hours

To learn more about graph refer to

https://brainly.com/question/19040584

#SPJ1

inspect a sketch of typical solution curves to determine the points for which the initial value problem has a unique solution.

Answers

We have to find solutions for the given differential equation when

y = 0,  y = 1/(k-x) and y(a) = b using ordinary differential equations.

We have dy / dx = y^2

a. let's define the given y = 1/(k-x)

derive the above equation with respect to x :

                                  dy / dx = y' = 1/(k-x)^2

So this is the general solution.

b) We would want a singular solution that is not included in the general form. Here we could use y = 0

dy / dx = 0 = 0^2

so,this is a trivial singular solution.

c) If we have y(a) = b,

then, y = 1(k-a) = b

To find the value of k we use the other condition: y'(^2) = 4 x y(2)

           1/(k-a)^2 = 4 x  1/(k-a)

              k - 2 = 1/4

              therefore, k = 9/4

hence we got, y = 1/(9/4 - a) = b

So the points (a, b) are of the form: (a, 1/(9/4 - a))

             

Learn more about differential equations here :

https://brainly.com/question/14620493

#SPJ4

The complete question is :

Find a general solution of the differential equation dy/dx=y2

b. Find a singular solution that is not included in the general solution.

c. Inspect a sketch of typical solution curves to determine the points (a,b) for which the initial value problem (y′)2=4y,y(a)=b

a bicycle has wheels 32 inches in diameter. a tachometer determines the weheels are rotating at 150 rpm(revolutions per minute). Find the speed the bicycle is traveling down the road.

Answers

The speed of the bicycle is 381 meters per minutes

we know that,

revolutions per minute = speed in meters per minute / circumference in meters.

Diameter = 32 inches

Circumference of the wheel = 2πr

r = Diameter/2 = 32/2 = 16

Circumference = 2 × π × 16

=  100.5714 inches

Approximately = 100 inches

we know that,

1 inch = 0.0254 meter

100 inches = x

x = 100 × 0.0254 meters

x = 2.54 meters

Hence:

Revolutions per minute = Speed in meters per minute / circumference in meters.

Speed = Revolutions per minute × circumference in meters.

Speed = 150 RPM × 2.54 meters

Speed = 381  meters per minutes

so, the speed of the bicycle is 381 meters per minutes.

Learn more about speed here :-

https://brainly.com/question/7359669

#SPJ4

Can someone help me please

Answers

Answer: 3 + y = 24

Step-by-step explanation: Hello!


If she rode 3 miles one day and y miles the other 6 days of the week, and in total that adds up to 24 miles, that means the equation should be addition.

3 miles + y miles = 24 miles
Monday, other 6 days, total seven days

The equation should be:
3 + y = 24

∠FGK​ and ∠KGH​ form a linear pair. Find m∠KGH​.

Answers

Applying the linear pair definition, m<KGH = 60°.

What is a Linear Pair?

In geometry, a linear pair is a pair of adjacent angles that are supplementary, meaning that their measures add up to 180 degrees. The two angles must be adjacent, meaning that they share a common side or vertex, and they must be linear, meaning that they are formed by two intersecting lines.

Therefore:

m<FGK + m<KGH = 180

Substitute

120 + m<KGH = 180

m<KGH = 180 - 120

m<KGH = 60°

Learn more about linear pair on:

https://brainly.com/question/27869535

#SPJ1

Find the image of A(4, 2) after the following transformations
a. (1,4) ∘ (−) (4, 2)


b. (−) ∘ (1,4) (4, 2)

HELP PLEASE

Answers

Assume (-)(4,2) as (-4,-2)
a.
(1,4)
(4+1,4+2) = (5,6)
(-4,-2)
(5-4,6-2) = (1,4)

b.
(-1,-4)
(4-1,2-4) = (3,-2)
(-4,-2)
(3-4,-2-2) = (-1,-4)

5x - y = -5

3x - 6y = 24

Solve using substitution

Answers

Answer:

x = -2

y = -5

Step-by-step explanation:

5x - y = -5

3x - 6y = 24

First, multiply the first equation by -6

-30x + 6y = 30

3x - 6y = 24

-27x = 54

x = -2

Now, put in -2 for x and solve for y

5(-2) - y = -5

-10 - y = -5

-y = 5

y = -5

Let's Check

5(-2) -(-5) = -5

-10 + 5 = -5

-5 = -5

So, x = -2   y = -5  is the correct answer.

Several college students conduct a survey at their local community college. They find that 67% of the students live with their parents in the house they grew up in. Of the students who live with their parents 23% live within walking distance to campus. Of the students who do not live with their parents only
6% live within walking distance to campus. a) What is the probability of a student living within walking distance to campus? ( 1 point) b) What is the probability given a student lives within walking distance to campus they live with their parents? (1 point) c) Are living with parents and living within walking distance independent events? (2 points)

Answers

a) The probability of a student living within walking distance of campus is 0.1521.

To find the probability of a student living within walking distance of the campus, we can use the formula for conditional probability:

P(A and B) = P(A) * P(B|A).

For this situation, An is "living within walking distance to campus" and B is "living with parents."

Thus, P(A and B) = (0.23)(0.67) + (0.06)(0.33) = 0.1521.

Hence, the probability of a student living within walking distance of campus is 0.1521.

b)  The probability given a student living within walking distance of campus they experience with their parents is 0.67.

To find the probability given a student day to day routines within walking distance to campus they experience with their parents, we can use the formula for conditional probability:

P(A|B) = P(A and B)/P(B).

In this situation, A is "living with parents" and B is "living within walking distance to campus."

Thus, P(A|B) = P(A and B)/P(B) = (0.23)(0.67)/0.1521 = 0.67.

Subsequently, the probability gave a student living within walking distance of campus experience with their parents is 0.67.

c) Living with parents and living within walking distance are independent events.

To decide whether living with parents and living within walking distance are independent events, we can analyze P(A|B) with P(A).

On the off chance that P(A|B) = P(A), the events are independent. For this situation, P(A|B) = 0.67 and P(A) = 0.67, so living with parents and living within walking distance are independent events.

To learn more about probability:

https://brainly.com/question/13604758

#SPJ4

1.) Leila wants to sell her homemade candles at the Linwood Street Craft Fair. She decides to
sell her candles for $12 apiece. The materials for one candle cost Leila $2. If she also pays
$40 to rent the booth for the day, how many candles must Leila sell to cover all of her
expenses? How much will her sales and expenses be at that point?

Answers

The total cost of materials for one candle is $2 and she pays $40 for the booth for the day.

Therefore, the total cost for making and selling one candle is $2 + $12 + $40 = $54

To cover all her expenses, Leila must sell enough candles to make $54 from each candle.

She must sell 54/$12 = 4.5 candles

Therefore, Leila needs to sell at least 5 candles to cover all her expenses.

At that point, her sales and expenses will be 5 candles x $12/candle = $60

Therefore, Leila's sales and expenses will be $60 at that point.

If a shipment has at least 5% defective light bulbs, it will be replaced. If a sample of 60 light bulbs has 2 that are which statement is true? defective,
A The shipment will be replaced.
B The shipment will not be replaced.
C The shipment has 12 defective light bulbs.
D The shipment has 30 defective light bulbs. ​

Answers

The sample has 3.33% of defective bulbs so, B. The shipment will not be replaced.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, If a shipment has at least 5% defective light bulbs, it will be replaced.

Now, A sample of 60 light bulbs has 2 that are defective.

Therefore, The percentage of defective bulbs is,

= (2/60)×100%.

= (1/30)×100%.

= 3.33%, So, the shipment will not be replaced.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ1

Find an angle whose supplement is 30 degrees greater than 4 times the supplement.
Explanation needed

Answers

The angle whose supplement is 30 degrees greater than 4 times the supplement is 30°

What are supplementary angles?

Two angles are called supplementary when their measures add up to 180 degrees.

For example:- 120° and 60°, 110° and 70°, 140° and 40°, 90° and 90°, 20° and 160°, 135° and 45° are some example of supplementary angles.

Given that, an angle whose supplement is 30 degrees greater than 4 times the supplement.

Let the angle asked be x,

Therefore, the supplement of x, will be = 180°-x

According to the question, Its supplement is 30 degrees greater than 4 times the supplement.

Therefore, establishing the equation,

So, for solving for x, we have,

180°-x = 30°+4x

4x+x = 180°- 30°

5x = 150°

5x/5 = 150°/5

x = 30°

As, we considered the angle asked be x,

Hence, the angle whose supplement is 30 degrees greater than 4 times the supplement is 30°

Learn more about supplementary angle, click;

https://brainly.com/question/13045673

#SPJ1

use the definition of continuity and limits to find values of the constants a and b so that the piece-wise cubic function

Answers

The constants a and b can be found by ensuring the function is continuous and that the limits at each point match. This can be done by setting the values of a and b so that the function and its derivative are equal at each point.

To find the constants a and b for the given piece-wise cubic function, we must consider the definition of continuity and limits. Firstly, for the function to be continuous, the function and its derivative must be equal at each point. Thus, we need to set the values of a and b so that the function and its derivative are equal at the points x=1, x=2 and x=3. We can use this to create a system of equations to solve for a and b. Once we have determined the values of a and b, we can then check that the limits at each point match. This can be done by computing the left and right hand limits at each point, and ensuring they are equal. If the limits are equal, then the function is continuous and the constants a and b are correct.

Learn more about equal here

https://brainly.com/question/143202

#SPJ4

there exists an intewger that is greater than 5 and whose square is smaller than 40, express as a mathematical quantifiers

Answers

there exists an integer that is greater than 5 and whose square is smaller than 40, express as a mathematical quantifiers ∃x∈ℤ: x > 5 ∧ x² < 40

1.  Start by writing down the equation: x² < 40

2.  Take the square root of both sides of the equation to isolate the variable x: √x² < √40

3.  Simplify both sides of the equation: x < √40

4.  Check that the result makes sense: x < 6.3

5.  Take the integer part of the result: x < 6

6.  Since the requirement is that x is greater than 5, the answer is x = 6.

We start by writing the equation x² < 40 and then take the square root of both sides to get x < √40. We check that the result is reasonable and then take the integer part of the result to get x < 6. Since the requirement is that x is greater than 5, the answer is x = 6. To confirm, we can calculate that x² = 36 which is smaller than 40, and indeed, 6 is greater than 5. Therefore, the integer that is greater than 5 and whose square is smaller than 40 is 6. This can be expressed mathematically as ∃x∈ℤ: x > 5 ∧ x² < 40 which translates to: There exists an integer x such that x is greater than 5 and the square of x is smaller than 40.

Learn more about integer here

https://brainly.com/question/15276410

#SPJ4

Analyze the diagram below and complete the instructions that follow.
C
A
B
Given that
A. 10
B. 10.5
C. 11
D. 11.5
6
CB
CA
DE
DF'
find BA.
D
4
E
7
F
Save and Exit
Next
Submit

Answers

Analyze the diagram of the trapezoid gives BA = 10.5 units

How to find the side BA of the trapezoid the analyzing the diagram?

A trapezoid (also known as a trapezium) is a four-sided geometric shape that has two parallel sides (the bases) and two non-parallel sides (the legs). The bases of a trapezoid can have different lengths, but the legs must be congruent and parallel to each other.

Let's analyze the diagram below and complete the instructions:

Since CB / CA = DE / DF

where CB = 6, DE = 4, EF = 7

We can say:

DF = DE + EF = 4 + 7 = 11

CA = CB + BA = 6 + BA

CB / CA = DE / DF

6/(6 + BA) = 4/11

6 × 11 = 4(6 + BA)

66 = 24 + 4BA

24 + 4BA = 66

4BA = 66 - 24

4BA = 42

BA = 42/4

BA = 10.5 units

Learn more about trapezoid on:

brainly.com/question/12220738

#SPJ1

Other Questions
Find a website that is sponsored by an organization (Have Justice Will Travel or Safe Water Network, perhaps), a business (Coca-Cola, Pepsi), or another group (the Democratic or Republican National Committee), and analyze the site for fallacious reasoning. Among other considerations, look at the relationship between text and graphics and between individual pages and the pages that surround or are linked to them to identify logical fallacies. A taxi hurries 95 km in 1 7/12 hours. What is its average speed in kilometers per hour? Dissertation de labais prvot sur manon lescaut et des grieux a) The average of daily income of a plumber from Sunday to Friday is Rs 1,300 in the last week. If he earned Rs 2,000 on Saturday, find his average of daily income of the week. for your own opinion, what is focus group in survey research? How do hormones bind to their target cells? Subscript of H2 is blank indicating that H2 contains two hydrogen atoms joseph is writing a paper on job satisfaction and the rate of unemployment in the u.s. he needs to include original research as well as current, national stories related to this topic. which types of sources would be the best fit for his assignment? segment from ( 8 , 10 )to ( 8 , 5 )that partitions the segment into a ratio of 2 to 1? Oxides of active metals react with water to produce____ which democratically-elected iranian prime minister was overthrown in a coup orchestrated by the c.i.a. and mi-6? How does lady catherines "manner of living" contribute to other characters reactions? they are excited about being presented in such elaborate surroundings. they are intimidated and feel they must live up to the surroundings. they regard lady catherines demands as rude and resent her way of life. they believe themselves equal to the setting at lady catherines manor. 7. The cost of half a dozen candles is R30. What is the cost of one candle? if you were in a spaceship accelerating at 1g how long would it take you to reach the speed of light Pick one of the following questions and answer thoroughly. 1. The appearance of the Sun each morning demonstrates four important assumptions scientists make about the world: regularity (it happens over and over again) causality (there is a reason for it) measurability (it can be measured and verified) predictability (its recurrence can be anticipated and predicted) Choose another aspect of the physical world and describe how it fits with these assumptions. fill in the blank.in august 1992, hurricane ___began as a cape verde-type hurricane by moving off the western coast of africa as a thunderstorm. it caused a wide path of destruction in the northern bahamas, southern florida, and the gulf coast. Find an equation of the plane passing through (0, -3,1) that is orthogonal to the planes 3x + 2y - 4z = 0 and - X+ 2y + 4z = 7. which of the following was the first release of microsoft windows in which the underlying operating system and the gui were no longer considered separate items? A(n) __________ is one in which factory or mechanized production has replaced agriculture as the major form of economic activity.a. pastoral societyb. industrial societyc. commerce societyd. agrarian society A responsibility center in which the department manager has responsibility for and authority over costs and revenues is called a(n)a. investment centerb. profit centerc. volume centerd. cost center