Answer: 3.5
Step-by-step explanation:
A = 2, B = 7, C = 6
(7a + b)/c
=(7(2)+7)/(6)
=(14+7)/6
=21/6
=3.5
Given g(x)=-5x-4, solve for x when g(x)=1.
Answer:
Your answer is 2
Step-by-step explanation:
If g(x) = -5x - 4 and g(x) = 1 then -5x - 4 = 1.
Given this, we can now solve for x by adding 4 to both sides and then dividing both sides by -5 to isolate the value of x.
-5x-4=1
-5x-4+4=1+4
-5x=5
5 5
5 5
x=-1
You are running a left-tailed 2-sample z-test at the 0.05 level of significance and you find a test statistic of z=-1.87. shoudl you reject or not reject the null?
Using the critical value, we should reject the null.
What is a test statistic?A test statistic is a quantity derived from a sample that is used in statistical hypothesis testing. A hypothesis test is usually specified in terms of a test statistic, which is a numerical summary of a data set that reduces the data to a single value that can be used to perform the hypothesis test. In general, a test statistic is chosen or defined in such a way that it quantifies, within observed data, behaviors that distinguish the null hypothesis from the alternative hypothesis, where such an alternative is prescribed, or that characterize the null hypothesis if no alternative hypothesis is explicitly stated.So,
Test = 2.85Critical value = Z(0.05) = 1.645RR: Reject if the Z test > 1.645Z test = 2.85 > 1.645 ⇒ RejectTherefore, using the critical value, we should reject the null.
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At what points will the line y = x intersect the unit circle x2 y2 = 1? smaller value and larger value
[tex]The two equations given arey = x …. (1)x2 + y2 = 1 …. (2)Substitute equation (1) in (2)x2 + x2 = 12x2 = 1x2 = ½x = √1/2x = ±0.707As the square can be positive or negative we get x1 = 0.707 and x2 = -0.707From equation (1) we know that y = xy1= x1= 0.707y2= x2 = -0.707Therefore, the line y = x intersects the unit circle x2 + y2 = 1 at (0.707, 0.707) and (-0.707, -0.707).[/tex]
What is intersect?A junction is a place where two lines come together or cross. In the illustration above, "point K is the intersection of line segments PQ and AB" is what we would state. The phrase "the line segment PQ crosses AB at position K" is another option.
Keep in mind that two line segments do not always need to intersect. In the illustration above, move point B higher until the intersection of the two line segments disappears. However, keep in mind that lines (as opposed to line segments) continue indefinitely in both directions, thus unless they are absolutely parallel, they will always cross someplace.
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The word geometry comes from the Greek words geo, which means "earth," and metron, which means "a measuring
of." Given this information, how do you think the study of geometry developed?
The study of geometry developed from. measuring the Earth.
What is geometry about?Geometry has its roots in issues that people face on a daily basis. According to the conventional myth, which was preserved in Herodotus' History (5th century bce), the Egyptians invented surveying to restore property values following the yearly Nile flood.
One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specializes in geometry.
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Write an absolute value equation representing all numbers x whose distance from 4 is 3 units.
The equation is
(Type an equation using x as the variable.)
The equation is | x - 4 | = 3
Here, we are given that x represents all numbers that are at a distance of 3 units from 4.
Now, the distance of x from 4 can be in the positive direction or in the negative direction.
This can be represented by an absolute value function as follows-
| x - 4 | = 3
we can check our result by solving the given equation
| x - 4 | = 3 can be written as-
x - 4 = 3 or -x + 4 = 3
x = 7 or x = 1
Both, x = 1 and 7 are at a distance of 3 units from 4.
Thus, | x - 4 | = 3 is the absolute value function.
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write a formula that expresses the first variable as a function of the second: 1.the area of a circle as a function of its diameter
The area of a circle as a function of its diameter is A(d) = [tex]\frac{\pi d^2}{4}[/tex].
We have to find the area of a circle as a function of its diameter.
Let the diameter of the circle be d.
We know the formula,
Area of circle = [tex]\pi r^2[/tex]
Where,
r is the radius of the circle.
[tex]\pi[/tex] = constant.
We know that,
Radius is equal to half the diameter of a circle.
Hence, we can write
r = d/2
Where d is the diameter of the circle.
Hence, we can write,
Area of circle as a function of its diameter = A(d) = [tex]\pi (\frac{d}{2})^2 = \frac{\pi d^2}{4}[/tex].
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Question 1 (Multiple Choice Worth 5 points)
(01.06 LC)
Which statement shows that money is a "measure of value?"
This bill is worth twenty dollars.
My phone is worth eight hundred dollars.
The dollar I just found in my drawer is still worth a dollar.
The more features it has, the more it is worth.
Answer: My phone is worth eight hundred dollars.
Step-by-step explanation:
The correct statements are:
This bill is worth twenty dollars.
My phone is worth eight hundred dollars.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given statements:
This bill is worth twenty dollars.
My phone is worth eight hundred dollars.
The dollar I just found in my drawer is still worth a dollar.
The more features it has, the more it is worth.
From the given statements:
This bill is worth twenty dollars.
Here, the measure of the value is n = $20.
My phone is worth eight hundred dollars.
Here, the measure of the value is m = $800.
Therefore, the correct explanation is given above.
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is y=-3/2x+10/3 parallel to y=-2/3x+11/3?
Answer:
nope
Step-by-step explanation:
parallel or not just depend on the coefficient of the first degree
3/2 ≠ 2/3 so not
I need to know the price of 15% for all of them
Here is the completed table:
Name of the food Price with 15% profit
Apple (whole) $9.20
Banana (whole) $8.34
Chocolate (whole) $6.90
Chocolate chip ( 1 dozen) $5.46
Oatmeal ( 1 dozen) $5.75
Pecan (whole) $11.50
Pumpkin (whole) $13.80
Snickerdoodle ( 1 dozen) $4.89
Vanilla (whole) $5.18
What are the prices with 15% profit?Percentage is used to represent statistics. Percentage means to rewrite a number per hundred. To convert a number to percentage, multiply the number by 100. The sign that is used to represent percentage is %.
Profit is the excess of the cost of production over the price at which the good is sold.
Profit = ( 1 + targeted profit) x cost
= (1 + 0.15) x cost
1.15 x cost
Profit on Apple (whole) = 1.15 x 8 = $9.20
Profit on Banana (whole) = 1.15 x 7.25 = $8.34
Profit on Chocolate (whole) = 1.15 x 6 = $6.90
Profit on Chocolate chip ( 1 dozen) = 1.15 x 4.75 = $5.46
Profit on Oatmeal ( 1 dozen) = 1.15 x 5 = $5.75
Profit on Pecan (whole) = 1.15 x 10 = $11.50
Profit on Pumpkin (whole) = 1.15 x 12 = $13.80
Profit on Snickerdoodle ( 1 dozen)= 1.15 x 4.25 =$4.89
Profit on Vanilla (whole) = 1.15 x 4.5 = $5.18
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Which of the following properties was used in the expression shown here? 22 + 14x14x + 22
1. commutative property
2. associative property
3. disributive property
Answer:
Commutative Property
Step-by-step explanation:
What are the steps for
X+5y=-28
-x+y=4
The solution of the system of the equations is gotten using substitution method and the values of the unknown are x = -8 and y = - 4
How to solve the system of equationsGiven data
x + 5y = -28
-x + y = 4
From -x + y = 4
step 1 make y the subject of formula to have
y = 4 + x
step 2 substitute y = 4 + x into the equation x + 5y = -28
x + 5y = -28
x + 5 ( 4 + x) = -28
x + 20 + 5x = -28
x + 5x = -28 - 20
6x = -48
x = -8
step 3 substitute x = -8 into y = 4 + x
y = 4 + x
y = 4 - 8
y = - 4
Hence we can say that The solution of the system of the equations is gotten using substitution method and the values of the unknown are x = -8 and y = - 4
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evaluate the expression if a=3/4, b=-8, c=-2, and d=3
Answer: 206
Step-by-step explanation:
a=3/4, b=-8, c=-2, d=3
-b[a+(c-d)^2]=
-(-8)[3/4+(-2-3)^2]=
8[3/4+(-5)^2]=
8[3/4+25]=
8*3/4 + 200=
24/4 + 200=
6+200=206
Tom keeps all of his marbles in a bag. 5 red marbles. 4 blue marbles. and three yellow are in the bag. if he randomly chooses one marble what is the probability it is blue?
If Tom choose one marble then the probability that it will blue is 1/3.
According to the given question.
Total number of red marbles in a bag = 5
Total number of blue marbles in a bag = 4
Total number of yellow marbles in a bag = 3
So, the total number of marbles in a bag = 5 + 4 + 3 = 12
As we know that, the probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.
Therefore, if Tom choose one marble then the probability that it will blue
= 4/12
= 1/3
Hence, if Tom choose one marble then the probability that it will blue is 1/3.
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3)927
Show your work
Answer:
What is the question?
Step-by-step explanation:
According to this graph, what can be said about the global surface temperature trend from 1910 to 1950?
On average, it fell about 0.2 degrees between 1910 and 1950
On average, it rose about 0.3 degrees between 1910 and 1950
On average, it rose about 0.5 degrees between 1910 and 1950
On average, it rose about 0.8 degrees between 1910 and 1950
According to this graph, the global surface temperature trend from 1910 to 1950: C. on average, it rose about 0.5 degrees between 1910 and 1950.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
By critically observing the graph of the average global surface temperature during the 20th century, we can logically deduce the following data points and statements:
The average global surface temperature appears to have increased by 1.4 degrees (1.4°).During the period from 1850 to 1910, the average global surface temperature was significantly lower.On average, the global surface temperature rose about 0.5 degrees (0.5°) between 1910 and 1950.Read more on temperature graph here: https://brainly.com/question/3856090
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Answer:
Step-by-step explanation:
I took the quiz! :)
A machine that originally cost $15,600 has a value of $7500 at the end of 3 years. the same machine has a value of $2800 at the end of 8 years. find the average rate of change in value (depreciation) of the machine between its purchase and the end of 3 years. a. -$3200 per year c. $-5400 per year b. -$2700 per year d. $2700 per year
A) The rate for the first 3 years :
15,600 - 7500 = 8100
8100/3 years = 2,700 per year depreciation.
B) The rate between 3 and 8 years:
7500 - 2800 = 4700
4700 / 5 year = 940 per year depreciation.
C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.
Which answer graphs the parent function f(x) = |x|, and the translated function g(x) = |x − 2| + 1 on the same grid?
Using translation concepts, the graphs of f(x) = |x| and g(x) = |x - 2| + 1 are given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.
For this problem, the parent and translated functions are given, respectively, by:
f(x) = |x|.g(x) = |x - 2| + 1.The translations are given as follows:
x -> x - 2, meaning that the function was shifted 2 units right.g(x) = f(x) + 1, meaning that the function was shifted 1 unit up.Considering these two translations, the functions are plotted in the graph given at the end of the answer, with:
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The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
32 feet
31 feet
19 feet
13 feet
The difference between the depths in February and July is 19 feet.
To find the difference between the depths in February and July, we need to subtract the depth in February from the depth in July.
The depth in February is given as |−6|, which is 6 feet, and the depth in July is given as |−25|, which is 25 feet.
Difference = Depth in July - Depth in February
Difference = 25 feet - 6 feet
Difference = 19 feet
Therefore, the difference between the depths in February and July is 19 feet.In February, the depth of the lake is given as |−6|, which represents the absolute value of -6. The absolute value of a number disregards its sign, so |−6| is equal to 6 feet.
In July, the depth of the lake is given as |−25|, which represents the absolute value of -25. Again, disregarding the sign, |−25| is equal to 25 feet.
To find the difference between the depths in February and July, we subtract the depth in February from the depth in July:
Difference = Depth in July - Depth in February
Difference = 25 feet - 6 feet
Difference = 19 feet
Therefore, the difference between the depths in February and July is 19 feet. This means that the lake experienced a change of 19 feet in depth between those two time points.
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HELP ME!!! I WILL GIVE BRAINLIEST IF YOU WANT!!
Answer:
the one with the answer -10
Step-by-step explanation:
Answer:
So you do -8 + -2 which equals -10. it is the 3rd answer
Step-by-step explanation:
Trey is selling raffle tickets. For every 4 tickets, he charges $24 . Complete the table below showing the number of tickets and the amount Trey charges.
Pretty please help me
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2y + 50 + y + 10 = 180
3y + 60 = 180 ( subtract 60 from both sides )
3y = 120 ( divide both sides by 3 )
y = 40
2y = 2 × 40 = 80
y + 10 = 40 + 10 = 50
Answer:
y = 40
2y = 80
y + 10 = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180°
Using values given,
2y + (y + 10) + 50 = 180
2y + y + 10 + 50 = 180
3y + 60 = 180
3y = 180-60 = 120
y = 120/3 = 40
2y = 80
y + 10 = 40 + 10 = 50
A cat runs 3/5 of a mile in 2/10 of an hour. How many miles did the cat run in 1 hour?
The cat ran 3 miles in one hour
How to calculate the number of miles ?
A car runs 3/5 of a mile in 2/10
The number of miles ran in one hour can be calculated as follows
3/5= 2/10
x= 1
Cross multiply
2/10x= 3/5
x= 3/5 ÷ 2/10
= 3/5 × 10/2
= 3
Hence the car ran 3 miles in 1 hour
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6.25% of what number is 7?
Answer:
Step-by-step explanation:
0.4375
Answer:
6.25%of 112 is 7
Step-by-step explanation:
hope it helps you
if right mark me the brainliestthe sum of two angles of a triangle is 6/5 of a right angle, and one of these two angles is 30 larger than the ohter
The measure of two angles are 39 degree and 69 degree. By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree, so the final angle is 72 degree. Therefore, the largest angle in the triangle is 72 degree.
Describe the Triangle Angle Sum property?According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.
Given:
[tex]The\;sum\;of\;two\;angles\;in\;a\;triangle\;is\;\frac{6}{5}\;of\;a\;right\;angle\;is,\;\frac{6}{5} \times 90^{\circ} = 108^{\circ}[/tex]
[tex]let\;x\;is\;the\;measure\;of\;the\;first\;angle[/tex]
[tex]one\;of\;these\;two\;angles\;is\;30\;larger\;than\;the\;other,\;is\;x+30=108[/tex]
We know that sum of two angles is 108
[tex]x+x+30=108^{\circ}[/tex]
[tex]2x+30=108[/tex]
[tex]2x=108-30[/tex]
[tex]2x=78[/tex]
[tex]x=39^{\circ}[/tex]
Second angle y is,
[tex]y=x+30[/tex]
[tex]y=39+30[/tex]
[tex]y=69^{\circ}[/tex]
By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree,
Third angle z is,
[tex]x+y+z=180[/tex]
[tex]39+69+z=180[/tex]
[tex]108+z=180[/tex]
[tex]z=180-108[/tex]
[tex]z=72^{\circ}[/tex]
[tex]By\;comparing\;the\;angles\;39^{\circ},\;69^{\circ}\;and\;72^{\circ}, 72^{\circ}\; is\;greater[/tex]
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Some friends are playing a music trivia game that has 4 topics: rock, rap, country, and pop. Each player spins a spinner with 9 equal sections to get
the topic of their question. The friends answer a total of 54 questions, of which 20 are rock questions. 16 are rap questions, and 7 are country
questions.
How many sections of the spinner are most likely labeled pop? Enter the answer in the box.
Answer:
3
Step-by-step explanation:
Decide weather T he statement is true or false
Answer:
True, True, False, False, True
Step-by-step explanation:
X, Y, and Z are on the same line.
Point W is on line I, not line M.
YW and YD aren't on the same line.
YX and YZ are on the same line.
Please help me find the type of angles !!!!!!
How to solve :
[tex]\frac{3x}{2-|x|} \leq 1[/tex]
After the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:
[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]
What do we mean by expressions?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.So, get x, by simplification of both sides of the inequality before isolating the variable.
Form of Inequality:
3x/2-|x| ≤ 1-2 < x ≤ 1/2 or x > 2Interval notation:
[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex](Refer to the graph diagram given below)
Therefore, after the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:
[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Is the number 6.2 x 10^(-3) greater than 1 or smaller than 1?
a company's charge for electricity is ¢6.434 per kilowatt-hour. in addition, each monthly bill contains a customer charge of $7.81. if last year's bills ranged from a low of $51.74 to a high of $192.28, over what range did usage vary (in kilowatt-hours)?
The range did usage vary over from 823.81 to 2461.97 kilowatt-hours.
What is kilowatt-hour?Kilowatt-hours are units of energy that represent one kilowatt of electricity for one hour (SI symbol: kWh or kWh; typically abbreviated as kWh). It is 3.6 megajoules in terms of standard units (MJ). For electrical energy supplied to customers by electric utilities, kilowatt-hours are a typical billing unit. The abbreviation "kWh," which is derived from the letters kilowatt and hour, stands in for the kilowatt-hour and is a commonly used abbreviation. In addition to being often used in commercial, academic, and scientific publications as well as in the media, it is also frequently employed by electric utility companies to bill consumers for energy delivered to them. One kilowatt (kW) sustained for one hour (multiplied by one) is equivalent to one kilowatt-hour, a composite unit of energy.
$64.34=6434 cents
$192.28=19228 cents
So 6434 cents correspond to 6434/7.81
=823.81 kilo watt hours
19228 cents=19228/7.81
=2461.97 kilowatt-hours
So Range is 823.81 to 2461.97 kilowatt-hours.
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