Solve the given linear equation.14x + 4 = 8x + 23x =

Answer:373248

Step-by-step explanation:

Answer:

Step-by-step explanation:

12*6=72

72^3=373248

The value of the travel trailer after 5 years is $8306  .

in the question ,

it is given that

the price of the travel trailer(a)  = $35000

rate of decrease(r) = 0.25

time (x) = 5 years

The exponential expression for the decrease in price after x years is given by the formula

price = a(1-r)ˣ

where, a is the initial amount ,

r is the decay rate ,

x is the time period .

Substituting the values from above in the formula ,

we get

price = 35000(1-0.25)⁵

= 35000(0.75)⁵

= 8305.664

≈8306

Therefore , the value of the travel trailer after 5 years is $8306  .

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Explanation

We are asked to determine if the question is a continuous or discrete data set

The discrete data set is a data set that can be counted

Continuous data set are data that can be measured

For the given question, the answer will be option A

Answer:

Step-by-step explanation:

Area of rectangle formula:

Find the width by substituting the given values:

Answer: Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

Answer: a transformation, which is used to resize the object

Step-by-step explanation:

the shape changes size but not shape

Step-by-step explanation:

x + y = 18 We have at least 4 quarters

0.25x + 0.1y = 3.6

If we graph both equations, the point of intersection will give us our answer.

In this case, the lines intersect at the point (12, 6) which means I have 12 quarters and 6 dimes. This solution is correct as it also satisfies the condition of having at least 4 quarters.

(got this from another website, maybe it's wrong..

Wishing you the best!! )

         The journey through the difficult process of learning to read is described by the Reading Scale. It provides teachers with different perspectives on and analytical tools for their observations of children's growing abilities, knowledge, and comprehension of the reading process.

          Develop Areas Dinosaur Special Using Scale Read the issue below and attempt to resolve it.

            Wonderful exhibit hall A natural history museum's floor plan is displayed.

          3/4 in The The museum is 20 yards to one inch in scale with the blueprint.  

          Space 3/4 in TRY IT Math Resource Kit paper with two sets of numbers, a grid, ribbon, and yarn ADVERTISE IT Why did you select that method of location, for example?

Share: I used the approach I did because.

3/4 : 20 yds

3/4 ×20/1 ÷60/4 = 15 yds

1 (3/4) = 7/4

7/4 × 20/1 = 140/4 = 35 yds.

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Answer:

x = 16

Step-by-step explanation:

Looking at the graph

we have that

Decreasing intervals are

(-infinite, -2.5) and (1.75, infinite)

so

Verify each option

A ----> is true

B ---> is not true

C ---> is true

D ---> is not true

Answer:

Between -4 and 0

Step-by-step explanation:

Hey! I saw your most recent and I'm assuming it is this question we're talking about it so let's help you with that!

Let's start by looking at what each of them mean, the first one means that 4 is lower than a but a is lower than 5 (Inequality 1) The second one means 5 is lower than b but b is lower than 8 (Inequality 2). Now, in order to find out [tex]a-b[/tex], we need to find the largest and smallest value of [tex]a-b[/tex]. The reason why we do this is because we want to look for the range of what [tex]a-b[/tex] can give us and in finding the largest and smallest value, if we were to evaluate both inequality 1 and 2 using [tex]a-b[/tex], we know that it can't be beyond the largest value or smaller than the lowest value.

In order to figure out the largest possible value of [tex]a-b[/tex], we need to take the maximum x value of inequality 1 and subtract it by the minimum y value of inequality 2, so we get:

[tex]5-5=0[/tex]

In order to figure out the smallest possible value of [tex]a-b[/tex], we need to take the minimum x value of inequality 1 and subtract it by the maximum y value of inequality 2, so we get:

[tex]4-8=-4[/tex]

So, in this case! The answer is b) between -4 and 0

Answer:

B

Step-by-step explanation:

Answer: 8.4cm

Step-by-step explanation:

sin cos tan

SOH CAH TOA

It is cos because CAH does not have opposite (o) in it and we want to find the opposite.

O is opposite (opposite angle)

A is adjacent (next to angle)

H is hypotenuse (opposite right angle)

This is how I remember it

Cos(61)*17.4=8.435

8.4cm

The Sarah's path and Marcus path will intersect at the point  (5,4) .

In the question ,

it is given that

the park is modeled by the equation y = x − 1  .

On comparing with the slope intercept form ,

we get

the slope as 1 .

Since both the paths are perpendicular ,

the slope for Marcus path is -1 .

hence the equation of line with slope -1 and passing through the point (0,9) is y = (-1)x + c

9 = (-1)0 + c

9 = c

so equation is y = (-1)x + 9

So to find the point of intersection , we solve both the equations .

Substituting y = x − 1 in y = (-1)x + 9 ,

we get

x − 1 = (-1)x + 9

x - 1 = -x + 9

x + x = 9 + 1

2x = 10

x = 5

So, y = 5 - 1 = 4

the point of intersection is (5,4) .

Therefore , The Sarah's path and Marcus path will intersect at the point  (5,4) .

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Two lines are parallel if they hay the same slope.

The slope, m, of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

From the graph, line m passes through the points (0, 1) and (3,3), then its slope is:

Equation of a line in slope-intercept form

where m is the slope and (x1, y2) is a point on the line.

The new line has to pass through point P(1, -2). Substituting with this point and m = 2/3 into the general formula:

predicted value of the slope , A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to have numerical values.

When the parameters are linear, a regression equation (or function) is said to be linear in statistics. Although the predictor variables can be transformed in ways that result in curvature, the equation must be linear in the parameters.

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in linear regression, the fitted value is the:  predicted value of the dependent variable

When you enter the values of the predictors, factor levels, and other inputs into a statistical model, the predicted mean response value is known as the fitted value.

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hello

to solve this question, we just have to find the expression that is equal to 4b

option A

option a is incorrect

let's look at option B

option B is correct

and finally option C

option C is correct

from the calculations above, option B and C are the right answers

Using the stated transformation, the graph of g(2x) is given at the end of the answer.

An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:

g(x) = f(ax).

The definition of stretch or compression depends on the value of the constant a, as follows:

In this problem, the rule is:

f(x) = g(2x).

Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:

That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.

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Answer:

C (4,5)

Step-by-step explanation:

See the attached image.

Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?​

we know that

2%=2/100=0.02

so

To find out the amount of interest, multiply the total amount by the percentage in decimal form

(67,696)*0.02

The height of the flagpole is 27 feet.

Given,

If two triangles are similar, sides of these triangles will be proportional.

Height of the flagpole  = h feet

Shadow castes by the flagpole  = 72 feet

Height of the person  = 6 feet

Shadow casted by the person = 16 feet

By using the property of similar triangles,

Hence, h/6 = 72/16

h = (6×72)/ 16

h = 27 feet

Therefore, The height of the flagpole is 27 feet.

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Given a rectangular peice of paper

Length = 34 cm

Width = 16 cm

So, the area of the rectangle = 34 x 16 = 544 cm²

Two semicircles cut out of it

The diameter of the circle = d = 16 cm

So, the radius of the circle = r = d/2 = 8 cm

The area of the two semicircles = area of the complete circle

so, the area of the circle = πr² = 3.14 x 8² = 200.96 cm²

So, the area of the remaining paper = area of the rectangle - area of the circle

= 544 - 200.96 = 343.04 cm²

So, the answer will be Area = 343.04 cm²

Answer:

1- 80 miles

2- 3 hours

3- 35 mph

4- 180 miles

5- 5 hours

6- 15 mph

Step-by-step explanation:

if you travel at 40 miles every hour, then in 2 hours you'll travel 80 miles.

Using approximation, the two are the same and she contains enough flour.

The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit. If an event may take place in m different ways and a second event can take place in n different ways after it, then the two events that follow can take place in m n different ways.

Given that Karina buys a small bag of flour that has 2 2/3 cups of flour. The recipe calls for 2 5/7 cups of flour.

1) 2 2/3  cups of flour.

= ((2 × 3)+2)/3

= 2.666

Therefore, she get 2.666

2)  2 5/7 cups of flour.

= ((2 × 7) + 5)/7

= 2.714

Therefore, she get 2.714

Using approximation, the two are the same and she has enough flour.

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The coordinates of (6, -4) after a reflection in the line x = 2 are:

(-4, -4)

If we have a point (x, y) and we do a reflection in the line x = a, the new coordinates of the point will be:

(a - x, y)

In this case, we have (6, -4) and the line of reflection is x = 2, then the coordinates after the reflection are:

(2 - 6, -4) = (-4, -4)

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Answer:

2a + b = 180
 a + b = 118

a = 64, b = 56

Step-by-step explanation:

If you look at the triangle on the top right of the diagonal, there are 3 angles a, a and b. Since the 3 angles of a triangle add up to 180°

      a + a + b = 180

=>   2a + b = 180.......(1)

We are given that the largest angle is 118°

The largest angle of the parallelogram is a + b. Remember that opposite angles of a parallelogram are equal and the sum of the angles add up to 360

Therefore a + b = 118 ....(2)

Given equations (1) and (2), subtract (1) from (2):

Eq (1) - Eq(2) :

2a + b - (a + b) = 180 - 118

a = 62

Substitute for a in equation (2) to get

a + b = 118

62 + b = 118

b = 118 - 62 = 56

So the two angles are a = 64° and b = 56°

Answer:

a = 62, b = 56

Step-by-step explanation:

given the largest angle is 118° , then

a + b = 118 ( subtract b from both sides )

a = 118 - b → (1)

the sum of the interior angles of a quadrilateral = 360°

the angle adjacent to a is b ( alternate angles ) , then

a + b + a + a + b + a = 360

4a + 2b = 360 → (2)

substitute a = 118 - b into (2)

4(118 - b) + 2b = 360

472 - 4b + 2b = 360

472 - 2b = 360 ( subtract 472 from both sides )

- 2b = - 112 ( divide both sides by - 2 )

b = 56

substitute b = 56 into (1)

a = 118 - 56 = 62

a = 62 and b = 56

Two yellow marbles are added to the bag to make the probability of choosing a yellow marble 1/3 .

There is a bag containing five green marbles, three red marbles, and four blue marbles and four yellow marbles.

The probability that a given event will happen is expressed as a number between 0 and 1 where 0 means there is no chance of the event occurring and 1 means that the outcome is certain.

There are a total of 16 marbles in the bag (5 + 3+ 4+4 = 16). This means that the probability of drawing a marble of a particular color is the number of marbles of that color divided by the total number of marbles in the bag.

Let ‘x’ number of additional yellow marbles be added to the bag.

Then, the required probability will be

(4 + x )/ (16+x ) = 1/3

=> 3(4+x) =16 +x

=> 12+3x = 16+x

=> 2x =4

=> x= 2

Hence, the required number of marbles is 2.

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Answer:

60

Step-by-step explanation:

10 x 6 < w

60 < w

that answers it

Answer: Multiply to remove the fraction, then set equal to

0

and solve.

Inequality Form:

w

>

60

Interval Notation:

(

60

,

∞

)

The minimum that could be earned is $150. The required inequalities are solved below:

What is an inequality?

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line. There are multiple notations used to denote various types of inequalities: The symbol a b indicates that an is smaller than b. The symbol a > b indicates that an is more than b. In either scenario, a and b are not equal. These are characterized as stringent inequalities because an is either strictly less than or strictly bigger than b. Equivalence is not allowed.

(a) The minimum that could be earned is $150.

(b) The required inequality is given as 150+20x≥630

or, 20x≥630-150

or, x≥480/20

or, x≥24

(c) The required inequality is given as 150+20x≥750

or, 20x≥750-150

or, x≥600/20

or, x≥30

(d) The required inequality is given as 150+20x≤950

or, 20x≤950-150

or, x≤800/20

or, x≤40

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Answer:

11

Step-by-step explanation:

How to find the arithmetic mean:

Add all numbers together, and divide by the amount of numbers.

Ans: 15 + 7 = 22

22 ÷ by amount of numbers =

22 ÷ 2 =

11

Ans = 11