function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
If 1/4 inch on a scale drawing represents 5 miles , what’s does 1 inch represent
sidney writes two equations: I = 350n and E = 150n + 1000. The equations relate income I and operating expenses E to number of customers. Sidney writes the equation P = 350n − (150n + 1000) to show how tour profit P depends on the number of customers n. Use the rule to find profits P for 8, 12, 20, and 30 customers.
9514 1404 393
Answer:
600, 1400, 3000, and 5000
Step-by-step explanation:
The profit equation can be simplified.
P = 350n -(150n +1000)
P = 200n -1000 . . . . . . . . . collect terms
P = 200(n -5) . . . . . . . . . . . factor out 200
For the given numbers n, we have ...
P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}
Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.
If a survey is selected at random, what is the probability that the student is a girl who chose apple as her favorite fruit
Answer:
0.15
Step-by-step explanation:
Total number of students surveyed = 300
From the table,
(Girl n apple) = 46
P(girl n apple) = 46 / 300 = 0.153
NEED THE ANSWER ASAP!!
PLEASEEEE HELP MEEEEEEE
Answer:
The answer is A.
Step-by-step explanation:
If you count how many blocks it takes on the y axis, you will get 7 but note that it is reflected so it is -7. If you count how many blocks it takes on the x axis you get -3. So the answer is (-3,-7).
RATIONALIZE THE
Denominator and
simplify
Answer:
[tex]\frac{8-\sqrt{6} }{2}[/tex]
Step-by-step explanation:
To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which in this is 2 - √6.
We can write the expression:
[tex]\frac{3\sqrt{6}+5 }{2+\sqrt{6}} *\frac{2-\sqrt{6}}{2-\sqrt{6} }[/tex]
We can use the special product of the difference of squares to simplify the denominator:
[tex](2 + \sqrt{6})(2-\sqrt{6}) = 2^2 - (\sqrt{6})^2 =4 - 6 = -2[/tex]
We can use distributive for the numerator:
[tex](3\sqrt{6}+5)(2-\sqrt{6})=6\sqrt{6} -18+ 10-5\sqrt{6} =\sqrt{6} -8[/tex]
Now we can rewrite the fraction:
[tex]\frac{\sqrt{6}-8 }{-2} =\frac{8-\sqrt{6} }{2}[/tex]
3. Find the volume of the following figure. 62 units 58 units 60 units) 64 units3
Answer:
60 units
Step-by-step explanation:
Its a 5 × 3 × 4 cube
To find volume multiply the dimensions and you will get 60
Answer:
60 units
Step-by-step explanation:
I did the test.
PLS HELP 50 POINTS
To find the amount of water that would fill the inside of an aluminum can, which of the following formulas would you use?
SA = 2 B + Ph
V = lwh
SA = 2 π r 2 + 2 π rh
V = π r 2h
Answer:
V = π r 2h
Step-by-step explanation:
The solution is, the volume of the cylinder in cubic centimeters
V = π(3.5)2h.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
The volume of a cylinder is given by the equation:
V = π(R)^^2*h
where π = 3.14, R is the radius and h is the height.
If in the image we see that the radius is 7, then the correct option is D.
If in the image we shee that the DIAMETER is 7 (a linear that goes from end to end of the circle and goes trough the middle) then we know that the radius is half of the diameter, 7/2 = 3.5
in this case he correct option is C.
Hence, The solution is, the volume of the cylinder in cubic centimeters
V = π(3.5)2h.
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complete question:
A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
A) V = π(3.5h)2
B) V = π(7h)2
C) V = π(3.5)2h
D) V = π(7)2h
A birthday cake was cut into equal pieces, and five pieces were eaten. The fraction below shows how much cake was left over. According to the fraction, into how many pieces was the cake cut? 8 /13
A. 5
B. 13
C. 18
D. 8
Answer:
13
Step-by-step explanation:
Answer:
B. 13
Step-by-step explanation:
if 5 were eaten, that's 5/13, and there's 8/13 left. 5 out of thirteen total were eaten and 8 out of thirteen total were left.
This is urgent please help me out.The side lengths of different triangles are given. Which triangle is a right triangle?
Answer:
C. √18, √7, 5
Step-by-step explanation:
_____________
Goldilocks needs to find at least 12 lbs gold and 18 lbs silver to pay monthly rent. Each day in Mine 1 she finds 2 lbs gold and 2 lbs silver. Each day in Mine 2, she finds 1 lb gold and 3 lbs silver. Set up and solve using either LPsolve or on-line solver How many total days in the mines
Answer:
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
Step-by-step explanation:
Requirement : 12 Ibs gold and 18 Ibs silver to pay monthly rent
Mine 1 ; 2 Ibs of gold , 2Ibs of silver.
Mine 2; 1 Ib of gold , 3 Ibs of silver
using LP
Gold : aX1 + bX2 ≥ 12 ---------- ( 1 )
Silver: cX1 + dX2 ≥ 18 --------- ( 2 )
where; X1 = days spent in Mine 1
X2 = days spent in Mine 2
Total days spent in mines : X1 + X2 =
a = Gold found in mine 1 = 2
b = Gold found in mine 2 = 1
c = silver found in mine 1 = 2
d = silver found in mine 2 = 3
Back to equations 1 and 2
2X1 + X2 ≥ 12 ----------- ( 3 )
2X1 + 3X2 ≥ 18 ------------ ( 4 )
solving equations 3 and 4
= 0 + 2X2 ≥ 6 ∴ X2 ≥ 3 days ( days spent in mine 2 )
Input value into ( 3)
2X1 ≥ 12 - 3 = 9
∴ X1 ≥ 4.5 days ( days spent in mine 1 )
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
Mary’s bedroom rug is shown below. Find the perimeter and area of the rug.
Freddy earned $7.95 an hour, and last week he worked for 20 hours. About how much money did he earn?
Answer:
He earned $159
Step-by-step explanation:
7.95 Times 20
Answer:
$159
Step-by-step explanation:
[tex]\frac{1}{20} :\frac{7.95}{y}[/tex]
Cross multiply.
y · 1 = 7.95 · 20
Simplify.
y = 159
Which phrase is represented by the expression 6/r+5?
A.the sum of 6 and 5 divided by a number, r
B.five more than a number, r, divided by 6
C.six divided by the sum of a number, r, and 5
D.five more than the quotient of 6 and a number, r
Answer:
D.five more than the quotient of 6 and a number,
Step-by-step explanation:
To evaluate the the phrase written as :
6/r+5
Here, there is no bracket to make any distinction, hence using the BODMAS mode of evaluation, we deal with the division first before the sum. Hence we interpr te the equation as :
6 / r = quotient ; then, 5 is added to the quotient obtained from the divison of 6 by r.
Draw a Box Plot neatly (Box & Whisker, 5 Number Summary) to represent the following points scored by a basketball player 15, 8, 16, 10, 13, 2, 8, 12, 2, 5, 6, 8. Remember the number line has to have equal intervals. Make sure you include a title and any labels needed. Show all your work to find each value.
I will give brainliest
An air-conditioning fan makes 125 revolutions per second. How many revolutions will it make if it runs for 30 minutes?
Answer:
225,000 revolutions
Step-by-step explanation:
An air conditioning fan makes 125 revolutions per second
The number of revolution in 30 minutes can be calculated as follows
60 secs= 1 min
x= 30 min
= 30×60
= 1800 secs
1800×125
= 225,000
Hence the airconditioning makes 225,000 revolutions in 30 minutes
4(q-5) = 16
help pleaseee
Answer:
q = 9
Step-by-step explanation:
the key thing to understand in this problem is the distributive property. which basically means we can muliply what's on the interior of the parenthestes ( in this case q-5) by what's on the outside (4).
so 4 will distrubute to both the q and the -5
4q - 20 = 16
add 20 to both sides
4q = 36
divide both sides by 4
q = 9
Factor completely, then place the answer in the proper location on the grid. a2 - 25b2
Step-by-step explanation:
a² - 25b² can be expressed as a² - (5²)b²
this gives us: a² - (5b)²
using difference of two squares, we have:
(a - 5b)(a + 5b)
someone help asapp pls
The value of the probability P(A or B) is 0.77
How to evaluate the probability?The given parameters are:
P(A) = 0.64
P(B) = 0.25
P(A and B) = 0.12
The probability is then calculated as
P(A or B) = P(A) + P(B) - P(A and B)
Substitute the known values in the above equation
P(A or B) = 0.64 + 0.25 - 0.12
Evaluate the like terms
P(A or B) = 0.77
Hence, the value of the probability P(A or B) is 0.77
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A sample of 28 sales transactions at Costco shows a mean transaction time of 296 seconds with a standard deviation of 48 seconds. Costco is interested in finding out whether the mean transaction time is less than 310 seconds. Answer the following questions. a) Write down the null and alternative hypotheses. b) Find the test statistic and the critical value at 1% significance level. c) At 1% level of significance, what is your conclusion
Answer:
a) The null hypothesis is [tex]H_0: \mu = 310[/tex] and the alternative hypothesis is [tex]H_1: \mu < 310[/tex].
b) The test statistic is [tex]t = -1.54[/tex]. The critical value is [tex]t_c = -2.473[/tex].
c) The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.
Step-by-step explanation:
Question a:
Costco is interested in finding out whether the mean transaction time is less than 310 seconds.
At the null hypothesis, we test if the mean is of 310 seconds, that is:
[tex]H_0: \mu = 310[/tex]
At the alternative hypothesis, we test if the mean is of less than 310 seconds, that is:
[tex]H_1: \mu < 310[/tex]
b) Find the test statistic and the critical value at 1% significance level.
Test if the mean is less than a value, sample of 28, and standard deviation for the sample. Thus, we have a left-tailed t-test with 28 - 1 = 27 degrees of freedom and a 0.01 significance level, and the critical value is [tex]t_c = -2.473[/tex].
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation pf the sample and n is the size of the sample.
310 is tested at the null hypothesis:
This means that [tex]\mu = 310[/tex].
A sample of 28 sales transactions at Costco shows a mean transaction time of 296 seconds with a standard deviation of 48 seconds.
This means that [tex]n = 28, X = 296, s = 48[/tex].
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{296 - 310}{\frac{48}{\sqrt{28}}}[/tex]
[tex]t = -1.54[/tex]
The test statistic is [tex]t = -1.54[/tex].
c) At 1% level of significance, what is your conclusion
The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.
Graph the image of ABC with vertices A(2,3), B(-4,4), C(-1,-3) after the glide reflection.
Translation:(x,y)—>(x+2,y)
Reflection: in the x-axis
Given:
The vertices of the triangle ABC are A(2,3), B(-4,4), C(-1,-3).
Translation: [tex](x,y)\to (x+2,y)[/tex]
Reflection: in the x-axis.
To find:
The graph of the image.
Solution:
The vertices of the triangle ABC are A(2,3), B(-4,4), C(-1,-3).
The rule of translation is:
[tex](x,y)\to (x+2,y)[/tex]
The points after translations are:
[tex]A(2,3)\to A'(2+2,3)[/tex]
[tex]A(2,3)\to A'(4,3)[/tex]
[tex]B(-4,4)\to B'(-4+2,4)[/tex]
[tex]B(-4,4)\to B'(-2,4)[/tex]
[tex]C(-1,-3)\to C'(-1+2,-3)[/tex]
[tex]C(-1,-3)\to C'(1,-3)[/tex]
After that the figure is reflected across the x-axis. So, the rule of reflection is:
[tex](x,y)\to (x,-y)[/tex]
[tex]A'(4,3)\to A''(4,-3)[/tex]
[tex]B'(-2,4)\to B''(-2,-4)[/tex]
[tex]C'(1,-3)\to C''(1,3)[/tex]
The vertices of image are A''(4,-3), B''(-2,-4), C''(1,3).
round to the nearest thousand 83,243 answer
Answer:
83,000
Step-by-step explanation:
Thousand = 1,000s place
1,000s place of 83,243 is the 3 (3,000)
The number right before 3 is the 2 (200)
2 is closer to zero than 10 so it rounds down
83,243 then becomes 83,000 since the other numbers before the (2) round down with it.
Please help and I would really appreciate if the answer is correct
Answer:
The value for 6 is ones that's the answer
Answer:
14) 0.01 or 1/100
15) 0.06
16) 3.02
17) >
18)0.6
19) 100
20) 0.35
The white Christmas tree is 7.55m tall.the green Christmas tree is twice as tall as the white Christmas tree which is 0.454m taller the golden Christmas tree. What is the total height of the 3:Christmas tree? A 37.296m b .372.96m.c.3729.6m.d.37296
help me guys
The white Christmas tree is 7.55m
Green Christmas tree is twice as tall as white Christmas tree: 7.55 * 2 = 15.1m
High golden Christmas tree: 15.1m - 0.454m = 14.646m
The total height of 3 Christmas trees is: 7.55m + 15.1m + 14.646m = 37.296m
Choose: A 37.296m
pls help ASAP!! person with correct answer will be marked brainliest
Answer:
41.8°
Step-by-step explanation:
Opposite angles are equal.
Answer:
41.8 degrees
Step-by-step explanation:
They are vertical angles, meaning they are the same, just opposite one another.
ILL GIVE BRAINLIEST
Given the diagram, which of the following must be true?
Answer:
Choice D
Step-by-step explanation:
QS ≈ TR
they have same direction, sense and magnitude
Answer:
B. QR ≅ TS
Step-by-step explanation:
Angle TR shows us that it is a right angle. Flip it to the other side as the inverse and we get the angle QR.
A bakery sells 12 gourmet orange zest cupcakes for $36.00. Select all the statements that are true.
Since this bakery sells 12 gourmet orange zest cupcakes for $36.00, all the statements that are true include the following:
A. $3.00/1 is a unit rate for the cost per cupcake.
B. Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.
C. 36/12 represents the ratio of $36.00 for 12 cupcakes.
How to determine all of the true statements?First of all, we would determine the unit rate for the cost per cupcake by using the following mathematical expression;
Unit rate = Cost of cupcake/number of cupcakes
Substituting the given parameters into the unit rate formula, we have the following;
Unit rate = $36.00/12
Unit rate = $3.00.
This ultimately implies that, the unit rate for the cost per cupcake is equal to $3.00.
Note: 1 dozen is equal to 12 pieces.
For the cost of 2 dozen cupcakes, we have the following:
Cost of 2 dozen cupcakes = 12 × 2 × 3
Cost of 2 dozen cupcakes = $72.00.
For the cost of 8 cupcakes, we have the following:
Cost of 8 cupcakes = 8 × 3
Cost of 8 cupcakes = $24.00.
For the cost of 6 cupcakes, we have the following:
Cost of 6 cupcakes = 6 × 3
Cost of 6 cupcakes = $18.00.
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Complete Question:
A bakery sells 12 gourmet orange-zest cupcakes for $36.00. Select all the statements that are true.
$3.00/1 is a unit rate for the cost per cupcake.
Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.
36/12 represents the ratio of $36.00 for 12 cupcakes.
Using the same rate, it would cost $24.50 for 8 cupcakes.
Using the same rate, the bakery can sell 6 cupcakes for $20.00.
2. Caleb wants to tile the floor of his fort, the dimensions are 3mm by 4m. The tiles he
wants to buy come in squares. The perimeter of the tile is 80cm.
How many tiles will Caleb need?
tiles
Answer:
Number of tile need = 300 tiles
Step-by-step explanation:
Given:
Dimensions of floor = 3 m by 4 m
Perimeter of square tile = 80 cm
Find:
Number of tile need
Computation:
Perimeter of square tile = 4(Side)
80 = 4(Side of tile)
Side of tile = 80 / 4
Side of tile = 20 cm
Side of tile = 0.2 meter
Area of tile = 0.2 x 0.2
Area of tile = 0.04
Area of floor = 3 x 4
Side of tile = 12 square meter
Number of tile need = 12 / 0.04
Number of tile need = 300 tiles
PLEASE HELP!!
Write an equation for the
line on the graph below:
Answer:
x =-1 i think
Step-by-step explanation:
Answer:
x = -1
This is because all values of x is -1 no matter the y value
Feel free to mark this as brainliest :D
Plz help me this is urgent!!
Answer:
This type of graph is B a stem graph
Answer:
B. Stem-and-leaf plot.
Step-by-step explanation:
A stem and leaf plot will typically have numbers on the left and right side, with a line separating the numbers. This graph is an example of a stem-and-leaf plot.
A line plot (example shown).
A bar graph (example shown).
A pictograph (example shown).