Answers
Related Questions
roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112.
Write an equation to determine how many pairs of shoes, ppp, Roger must sell in a day to meet his daily earnings goal.
Find the number of pairs of shoes he must sell to meet his daily earnings goal.
Answers
Commission for 1 pair of shoes = $4.50
Let x be the number of shoes he needs to sell.
40 + 4.5x ≥ 112
4.5x ≥ 72
x ≥ 16
Answer: He must sell at least 16 pairs of shoes.
Answer:
112=4.5p+40
16
Step-by-step explanation:
What is an equation for a sine curve with amplitude 2, and period 4pi symbolradians?
Answers
a___ is a solid consisting of a polygon, a point not in the same plane as the polygon, and all points between them.
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Pyramid is a solid it consisting to a polygon, a point it does not have a same plane as the polygon, and all points from between them.'
Hope it helped you.
-Charlie
Thanks!
Have a great day!
A pyramid is the correct answer
For f(x) = 2x + 1 and g(x) = x2 – 7, find (f – g)(x).
A. –x^2 + 2x – 6
B. –x^2 + 2x + 8
C. x^2 – 2x – 8
D. 2x^2 – 15
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(f - g)(x) = (2x + 1) - (x² - 7) = 2x + 1 - x² + 7 = -x² + 2x + 8
Answer: B. -x² + 2x + 8
A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog’s speed is 150 feet per minute. The squirrel’s speed is 100 feet per minute. How long will it take for the dog to get the squirrel?
Answers
[tex]150x = 100x + 200[/tex]
150x represents the dog's speed, 100x represents the squirrel's speed, and 200 represents the distance the squirrel has on the dog. x is the amount of minutes that elapse.
Subtract 100x from both sides.
[tex]50x = 200[/tex]
Divide both sides by 50.
[tex]x = 4[/tex]
It will take the dog 4 minutes to catch up with the squirrel.
Charlie walk 9 blocks to school after school he walked 3 blocks to soccer practice he walks 7 blocks back home how many total blocks did Charlie walk in one day
Answers
Answer:
19 blocks
Step-by-step explanation:
9+7=16
16+3=19
15 Points!
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
Answers
turn 11/40 into a decimal
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Divide 11 by 40
Answer: 0.275
To get 11/40 converted to decimal, you simply divide 11 by 40. Then you get 0.275
The dimensions of a rectangle has aa width of three more than three times its lenght.Find the dimensions if the area of the rectangle is 36m to the second power.
Answers
B) width * length = 36
Substituting equation A) into B)
length * 3 * length = 36
3 * length^2 -36 = 0
length ^2 -12 = 0
length = 3.4641
width = 3 * 3.4641 = 10.3923
****************************************
Double-check
area = 3.4641 * 10.3923
area = 36
Add. Express your answer in simplest mixed-number form.
2 3/4 + 4 3/4
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= 6 6/4
= 7 2/4
= 7 1/2
let f(x)=x*2+2x-1 and g(x)=2x-4 find 2f(x)-3g(x)
Answers
2f(x)=2*(x²+2x-1)=2x²+4x-2
3g(x)=3(2x-4)=6x-12
2f(x)-3g(x)=(2x²+4x-2) - (6x-12)= 2x²+4x-2 - 6x+12 =2x²-2x +10
2f(x)-3g(x) = 2x²-2x +10
Composite functions involve combining more than one functions
The value of 2f(x) - 3g(x) is [tex]2x^2 -2x-+ 10[/tex]
We have:
[tex]f(x) = x^2 + 2x - 1[/tex]
[tex]g(x) =2x - 4[/tex]
The value of 2f(x) - 3g(x) is calculated as follows:
[tex]2f(x) - 3g(x) = 2 \times f(x) -3 \times g(x)[/tex]
Substitute the values of f(x) and g(x)
[tex]2f(x) - 3g(x) = 2 \times (x^2 + 2x -1) -3 \times (2x - 4)[/tex]
Open brackets
[tex]2f(x) - 3g(x) = 2x^2 + 4x -2 -6x + 12[/tex]
Collect like terms
[tex]2f(x) - 3g(x) = 2x^2 + 4x -6x-2 + 12[/tex]
[tex]2f(x) - 3g(x) = 2x^2 -2x-+ 10[/tex]
Hence, the value of 2f(x) - 3g(x) is [tex]2x^2 -2x-+ 10[/tex]
Read more about composite functions at:
https://brainly.com/question/19695569
The width of a rectangle is half the length. the perimeter of the rectangle is 54 in. what is the length of the rectangle?
Answers
3x = 54
x = 18
Length: 18
Find the volume of each composite figure. Round to the nearest tenth
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To calculate the volume of a composite figure, individual volumes of simple geometric shapes that make up the figure are calculated using dimensionally consistent formulas and then summed up to find the total volume.
Explanation:To find the volume of a composite figure, we must analyze each part of the figure separately and then combine their volumes. Volume is a measure of how much space an object occupies and for common shapes like cylinders, prisms, and cones, there are specific volume formulas. According to the information given, dimensionally consistent volume formulas would be those where volume is calculated by combining length measurements in such a way that the result has dimensions in cubic units. For example, for a cylinder, the volume is found by multiplying the area of the base by the height (V = πr²h), which is dimensionally consistent because it's the product of an area (with units squared) with a length (with a unit), resulting in units cubed, i.e., cubic units which represent volume.
For example, if we are to find the volume of a cylinder with a radius 'r' and height 'h', we would use the formula V = πr²h, where π is approximately 3.14159. If the radius is 2 cm, and the height is 5 cm, then the volume would be V = 3.14159 * (2²) * 5 cm³, which simplifies to V = 3.14159 * 4 * 5 cm³ = 62.8 cm³, after rounding to the nearest tenth.
As per the subject of composite figures, when the figure is made of multiple simple geometric shapes, we first find the volume of each part separately and then sum them all up to get the total volume of the composite figure. Understanding the dimensional analysis principles helps identify and correct potential errors in geometric formulas by ensuring that the dimensions on either side of an equation are consistent.
To solve the composite volume of the figure, we will subtract the volume of the cylinder from the volume of the cube.
The formula to find the volume of a cube is V = s^3, where s is the length of the side. It is shown in the figure that the length is 8 feet. Substitute this into the formula to find the volume of the cube.
V = s^3
= (8 ft)^3
= 512 ft^3
The formula to find the volume of a cylinder is V = πr^2h, where "r" is the radius and "h" is the height of the cylinder. It is shown in the figure that the diameter of the cylinder is 8 feet and its height is 8 feet. However, we need the value of the radius, not the diameter. To find the radius, we will divide the length of the diameter by 2 since the radius is half the length of the diameter.
r = d/2
= 8/2
= 4 ft
We already solve the length of the radius. Substitute the length of the height and radius to the formula to find the volume of the cylinder.
Volume (V) = πr^2h = π(4 ft)^2(8 ft) = π(16 ft^2)(8 ft) = 128π ft^3
We have solved the volume of the cube, which is 512 ft^3, while the volume of the cylinder is 128π ft^3. To solve the composite volume of the figure, we will subtract the volume of the cylinder from the volume of the cube.
V = V_cube - V_cylinder
V = 512 ft^3 - 128π ft^3
V = 109.9 ft^3
The point, (-4, 1) is located in which quadrant?
Answers
Answer:
B its is B that is the most ansewrablea .
Step-by-step explanation:
When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?
a. it is taller and narrower than the normal distribution.
b. there is no consistent relationship between the t distribution and the normal distribution.
c. it is almost perfectly normal.
d. it is flatter and more spread out than the normal distribution?
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A set of data has 12 pieces of data. Which of the following statements is NOT TRUE?
A.) There are 3 pieces of data in the first quartile.
B.) There are 6 pieces of data between the first quartile and the third quartile.
C.) There are 9 pieces of data that are greater than the median.
D.) There are 3 pieces of data in the upper quartile.
Please help!!
Answers
__,__,__,(Q1 is here)__,__,__,(median is here)__, __,__,(Q3is here)__,__,__
A. The first 3 lines are 3 pieces of data in the first quartile.
B. here are 6 pieces of data between the 1st and 3rd quartiles.
D. There are 3 pieces of data in the upper quartile.
The correct answer is C.) There are 9 pieces of data that are greater than the median. The statement that is NOT TRUE is C.) There are 9 pieces of data that are greater than the median.
To understand why option C is not true, let's review some basic concepts about quartiles and the median in a set of data:
- 3 pieces of data are less than Q1.
- 3 pieces of data are in the first quartile (Q1).
- 6 pieces of data are between Q1 and Q3 (the interquartile range, IQR).
- 3 pieces of data are in the third quartile (Q3).
- Including the median itself, 4 pieces of data are greater than or equal to the median.
This breakdown correctly accounts for all 12 pieces of data. As a result, the statement that is NOT TRUE is indeed option C:
C.) There are 9 pieces of data that are greater than the median.
Since there are 4 pieces of data that are greater than or equal to the median, option C, which asserts there are 9 such pieces, is false. The correct understanding aligns with your analysis of quartiles and the median in this dataset.
i need help!!!!!!!!!!!!!!?!!!
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A density curve for all of the possible weights between 0 pounds and 1000 pounds is in the shape of a rectangle. What is the value of the density curve in this interval?
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1000 times .001 gives you 1
It's correct on apex
Answer:
The area under the curve is one.
Step-by-step explanation:
A density curve for all of the possible weights between 0 pounds and 1000 pounds is in the shape of a rectangle. What is the value of the density curve in this interval?
The area under the curve is one.
Reason
Lets draw an histogram. On the vertical axis is the frequency distribution. horizontal axis is the weights. the interval between the bars will be 1.
the height of the bars will be the frequency distribution.
we get the area of the bars by multiplying the bars width and height. add up all with the other weight.
we get 1
Angles a and b are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of b if b < α. sin(7x − 15) = cos(3x + 5)
Answers
In order for the sine and cosine to be equal, the angles must be complementary
sin (7x-15) = cos (3x+5)
7x-15+3x+5 =90 (because sum of both angles a and b must be 90)
10x -10 = 90
10x = 100
x =10
One angle = 7x-15= 7*10-15 = 70-15 =55
Other angle = 3x +5 = 3*10+5 = 30+5 = 35
Since B is less than A, A = 55 degrees and B = 35 degrees
Since we need B, B = 35 degrees
If someone runs 4 miles in 30 minutes how many will they run in 48 minutes
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30 minutes / 4 miles = 7.5 minutes per mile
now we know how fast they run divide the new overall time (48 minutes) by the speed (7.5 minutes) to find the number of miles they will run
48 / 7.5 = 6.4 miles
The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint?
A. π : (4 - π)
B. (4 - π) : π
C. π : (π - 4)
D. π^2 : (4 - π^2)
Answers
Answer:
The ratio of green paint to white paint is A. [tex]\pi:(4-\pi)[/tex]
Step-by-step explanation:
To find the ratio of green paint to white paint we need to divide the surface that will be painted green by the surface that will be painted white.
In the graph we can see 4 equal circles. Let be ''R'' the radius of the circles.
We can also see a square. The side of the square is 4R (because the length of the side is 4 times the radius of any circle).
The surface of a circle which radius is ''R'' is equal to :
[tex]\pi .R^{2}[/tex]
The surface inside this 4 circles is equal to :
[tex]4.\pi .R^{2}[/tex]
The surface [tex]4.\pi .R^{2}[/tex] will be painted green.
The surface outside the circles is equal to [tex]4.\pi .R^{2}[/tex] subtracted to the area of the square.
The area of the square is :
[tex](4R)^{2}=16R^{2}[/tex] ⇒
[tex]16R^{2}-4.\pi.R^{2}[/tex] is the surface that will be painted white.
If we make the division between the surfaces :
[tex]\frac{GreenSurface}{WhiteSurface}[/tex] ⇒
[tex]\frac{4.\pi .R^{2}}{16R^{2}-4.\pi .R^{2}}[/tex]
[tex]\frac{(4R^{2}).\pi}{(4R^{2}).(4-\pi)}=\frac{\pi}{4-\pi}[/tex]
We find that the ratio of green paint to white paint is [tex]\pi:(4-\pi)[/tex]
alyssa wants to build a fence around her garden to keep deer and rabbits out. the length of the fence must be at least 50 ft, but she only has 140 ft for entire perimeter
Answers
P = 2(L + W)
Since we are given L >= 50 ft and P = 140 ft:
140 >= 2(50 + W)
70 >= 50 + W
20 >= W
Therefore, the width is less than or equal to 20 ft.
(The maximum area is 50 x 20 = 1000 ft^2.)
Alyssa must design a fence within a 140 ft perimeter to keep out deer and rabbits, requiring heights and depths appropriate for each animal. She may use a combination of high electric fencing for deer and buried hardware cloth for rabbits, being mindful of her perimeter constraint.
The student, Alyssa, needs to build a fence around her garden and requires the length to be at least 50 ft with a total available perimeter of 140 ft. To keep deer and rabbits out, she might consider different fence designs.
For preventing deer from entering, it's suggested to use electric fencing at least 8-10 feet tall or two parallel fences that are about 4 feet high and spaced 3 feet apart.
For rabbits, a two-foot high fence made of hardware cloth or chicken wire should be used, extended at least five inches below the ground. This will discourage rabbits from digging under the fence and protect the garden effectively.
Since Alyssa has a limited amount of fencing material, she will need to calculate the perimeter carefully to maximize the enclosed area while keeping within the 140 ft limitation. She might use lengths of sides that meet her minimum requirement and stay within her total available perimeter.
(a) An angle measures 43 . What is the measure of its complement? (b) An angle measures 81 . What is the measure of its supplement?
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1. By definition, Completary angles are those angles whose sum is 90 degrees and Suplementary angles are those angles whose sum is 180 degrees.
2. Keeping the information above on mind, you have:
(a) An angle measures 43 . What is the measure of its complement?
=90°-43°
=47°
(b) An angle measures 81 . What is the measure of its supplement?
=180°-81°
=99°
The answers are:
a) 47°
b) 99°
The complement of a 43-degree angle is 47 degrees, and the supplement of an 81-degree angle is 99 degrees.
To find the complement and supplement of an angle, you need to subtract the given angle from specific values. For a complement, this value is 90 degrees, and for a supplement, it is 180 degrees.
(a) To find the measure of the complement of a 43-degree angle, you subtract the angle from 90 degrees:
90 degrees - 43 degrees = 47 degreesSo, the complement is 47 degrees.
(b) To find the measure of the supplement of an 81-degree angle, you subtract the angle from 180 degrees:
180 degrees - 81 degrees = 99 degreesTherefore, the supplement is 99 degrees.
A dilation produces a smaller figure. Which is a possible scale factor?
–2
1/3
1
4
Answers
if a dilation produces a smaller figure
then
0< scale factor <1
so
case A) -2------> the scale factor must be a positive number
case B) 1/3----> 0< 1/3 <1---> is a possible scale factor
case C) 1------> this scale factor does not not produce a smaller figure, it produces the same figure
case D) 4----> this scale factor produces a larger figure
the answer is
1/3
Answer:
B
Step-by-step explanation:
Im assuming.
Helppp how do u do 34
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The 100 degree angle is (100 / 360) of the circle.
100 / 360 = 5 / 18
_________________________________________________________
The fraction of the "shaded area" of the circle is: " [tex] \frac{5}{18} [/tex] " .
_________________________________________________________
Explanation:
_________________________________________________________
Given the following circle :
_________________________________________________________
The equation of the linear regression line represents the relationship between the number of cars washed for charity, x, and the amount earned for charity, y. yˆ=10x+20 How much money can the charity expect to earn if 50 cars come in for a wash?
a $3
b $20
c $720
d $520
Answers
y=10x+20
Where x is the amount of cars.
y=10(50)+20
y=500+20
y=$520
Answer option D
By substituting 50 for x in the given linear regression equation, we find that the charity can expect to earn $520 if 50 cars come in for a wash.
The equation of the linear regression line given is y=10x+20, which represents the relationship between the number of cars washed for charity (x) and the amount earned for charity (y). To find how much money the charity can expect to earn if 50 cars come in for a wash, we substitute x with 50 in the equation: y = 10(50) + 20 = 500 + 20 = 520. Therefore, the charity can expect to earn $520 if 50 cars come in for a wash.
How do you find zeros when given a quadratic relation in vertex form
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In order to find the zeros in a quadratic in vertex form, you need to follow a number of steps. They have been outlined for you along with a sample problem.
y = (x - 2)^2 - 16
After getting the original form, you can place a 0 in for y. In is where the graph will cross the x-axis, so it is where you will find both of your zeros.
0 = (x - 2)^2 - 16
Now take the constant and add it to both sides. In this equation, -16 is your constant. So, we'll add 16 to both sides to begin to solve.
16= (x - 2)^2
Now we can take the square root of both sides. After we do so, we take both the positive and negative version of what we get. This is because both 4 and -4 squared is equal to 16.
+/-4 = x - 2
Now we add 2 to both sides to get us what is left of x.
2 +/- 4 = x
Now that we have a final form such as this, we can separate and get two answers for our two zeros.
2 + 4 = 6
2 - 4 = -2
What are the coordinates of the point that corresponds to -7x/4 on the unit circle
Answers
(1)[tex]y = \frac{-7x}{4}[/tex]
(2)[tex]x^{2}+y^{2}=1[/tex]
We introduce (1) into (2):
[tex]x^{2}+(\frac{-7x}{4})^{2}=1[/tex]
[tex]x^{2}+\frac{49x}{16}^{2}=1[/tex]
[tex]65x^{2}=16[/tex]
There are two values, namely:
[tex]\left \{ {{x_{1} = +0.4961 } \atop {x_{2} = -0.4961 }} \right.[/tex]
Then, substituing these values in the first (1) equation, we find:
[tex]\left \{ {{y_{1} = -0.8681 } \atop {y_{2} = +0.8681 }} \right.[/tex]
Finally, the points are two:
[tex]P_{1}=(0.4961,-0.8681)[/tex]
[tex]P_{2}=(-0.4961,0.8681)[/tex]
An event that is made up of two or more outcomes is called.....
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Hope this helps!
It would take an hour for plane A to meet plane B which is flying towards it. If the distance between them will be 200 miles after 45 minutes, how far apart are they now?
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(Assume that the net effect of the wind is negligible.)
From the first sentence, the distance between A and B after each travels for 1 hour is a + b miles. From the second sentence, after 45 minutes, or 0.75 hour, the distance between A and B is 200 miles. Plane a has traveled 0.75a, while plane B has traveled 0.75b.
Hence a + b = 0.75a + 0.75b +200
==> 0.25(a + b) = 200.
==> a + b = 800.
Therefore planes A and B are 800 miles apart now.
Answer:
800 miles apart
Step-by-step explanation:
0.75a+0.75b=200
0.25(a+b)=200
a+b=800 miles apart