Answer:
15
Step-by-step explanation:
Answer:
2912
Step-by-step explanation:
hugh is playing a game. he spins each spinner and then multiplies the number to find the product.
Answer:
ha ya
Step-by-step explanation:
Mackenzie has a 30 ounce soft drink. She drinks 28 ounces. Enter the percentage of ounces Mackenzie has left of her soft drink. Round your answer to the nearest hundredth.
Answer:
100
Step-by-step explanation:
30-28=100 if u round it to thr nearest hundreth because
30 2-2=0
- 18-8=10
-28
10 rounded to tye nearest hunderth is 100
You will create an estimate in order to assist your boss in gaining the job!
The equation that is given by the customer for the pool is (units are in feet): x2 + y2 = 81
- Your performance needs to include the following calculations:
- Compute the radius and diameter of the pool.
- Compute the volume of water in the pool using the above calculations and a height of 4 ft.
- Assuming that water costs $0.22 per gallon and that pools cost $185 per foot of radius calculate the total cost of materials for the pool. Keep in mind that there are 7.48 gallons of water per square foot.
- Assuming that a pool will take 2.5 hrs. per foot of radius, compute the total labor hours for the pool.
- If you are to pay someone $19/hr, compute the total cost of labor.
- Find a total cost for the project.
- All of the above is done showing all work.
- A final paragraph that describes your steps and findings.
The solution has been explained below.
We will use the following equation, x² + y² = 81, where x and y are the pool's dimensions in feet, to determine the necessary estimations for the pool project.
1. Calculate the pool's diameter and radius:
We can infer that the radius of the pool is equal to the square root of 81 because the equation depicts a circle. As a result, r = 81 = 9 ft.
The pool's diameter is simply equal to twice its radius, or d = 2r = 18 feet.
2. Calculate the amount of water in the pool:
Since the pool is 4 feet high, we can determine its volume by multiplying the area of its circle-shaped base by the height.
The formula A = πr² can be used to calculate the area of the pool's base,
Therefore, V = Ah = πr²h = 1017.87 cubic feet represents the volume of water in the pool.
3. Determine the pool's total material cost:
There are 7.48 gallons in a cubic foot and a gallon of water costs $0.22.
As a result, Cw = V × 7.48 × 0.22 = 1017.87 × 7.48 × 0.22 = $1,619.72 is the entire cost of water for the pool.
If the radius of the pool is $185 per foot, then the cost of the materials is Cm = r × 185 = 9 × 185 = $1,665.
4. Calculate the pool's total labour hours:
A pool's construction is estimated to take 2.5 hours for every foot of its radius.
So, L = r × 2.5 = 9 × 2.5 = 22.5 hours of labour would be needed to complete this pool.
5. Calculate the total cost of labour for the project:
If you pay someone $19 per hour, Cl = L × 19 = 22.5 × 19 = $427.5.
6. Find the project's overall cost:
The project's overall cost is the product of its labour and material costs:
Cost as a whole equals Cm + Cw + Cl, which is 1,665 + 1,619.72 + 427.5, or $3,712.22.
In conclusion, the pool has an 18-foot diameter and a 9-foot radius according to the supplied equation. There are roughly 1017.87 cubic feet of water in the pool. Water and building supplies are included in the pool's projected material cost of $3,284.72. 22.5 hours of labour in total are needed, with a labour cost estimate of $427.5. Consequently, $3,712.22 is the expected final cost of the pool renovation.
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On a circular playground, the distance from its center to the edge of the playground is 36 feet. What is the approximate circumference of the playground? (Use 3.14 for .)
A.
113.04 ft
B.
226.08 ft
C.
4,069.44 ft
D.
16,277.76 ft
Answer:
\(\fbox{\fbox{Circumference = 226.08 feet}}\)
Step-by-step explanation:
Given:
distance from center to the edge(Radius) of playground = 36 feet
To find:
Circumference of playground=?
Solution:
we know that,
Circumference of circle = 2πr
substituting the radius value in above formula,
\(2 \pi r = 2 \times 3.14 \times 36 = 226.08 \: ft\)
\(\fbox{\fbox{Circumference = 226.08 feet}}\)
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Answer: 226.08ft
Step-by-step explanation: we are finding the circumference of a circle so we will make 3.14 times 2 times 36 as it is a radius I think .
3.14 ×2×36=226.08 and the units is feet . Hope it helps buddy
Answer the descriptions
x - intercepts (zeros)
y-intercept
increasing interval
decreasing interval
constant interval
Maximum
Minimum
Domain
Range
Answer:
x-int: (-1.5, 0) and (3.5, 0)
y-int: (0, 3)
Increasing Interval: [-2, 1)
Decreasing Interval: (1, 4]
Constant Interval: [-4, -2)
Maximum: (1, 5)
Minimum: (4, -1) or (-4, -1) or (-2, -1) or (-3, -1)
Domain: [-4, 4]
Range: [-1, 5]
Step-by-step explanation:
x-intercepts are where the function f(x) crosses the x-axis when y = 0.
y-intercepts are where the function f(x) crosses the y-axis when x = 0.
Increasing interval is the set of x-values in which the graph f(x) increases in y-value.
Decreasing interval is the set of x-values in which the graph f(x) decreases in y-value.
Constant interval is the set of x-values in which the graph f(x) y-values stay constant.
Maximum is the largest y-value function f(x) can output.
Minimum is the smallest y-value function f(x) can output.
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that can be outputted from function f(x).
PLs help Thank u!!!!!!!!!!!!!!!!!!!!!!!!
Using a trigonometric relation, we can see that the values of x and y are:
y = 25.98
x = 15
How to get the values of x and y?Here we can see a right triangle, where we know the interior angles and the length of the hypotenuse.
To get the lengths of the legs, we can use trigonometric relations, like:
cos(a) =(adjacent cathetus)/hypotenuse.
For example, if we want to find y, then the angle at which this side is adjacent is the 30° one, now replacing the known values in the formula we will get:
cos(30°) = y/30
cos(30°)*30 = y = 25.98
And to get the value of x, we should use the 60°angle, so:
cos(60°) = x/30
30*cos(60°) = x = 15
These are the two lengths we wanted to get.
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What's the circumference of a
circle with a diameter of 9 inches?
Use 3.14 for n.
Answer:
28.26 in
Step-by-step explanation:
Radius = (1/2) diameter
Radius = (1/2)(9)
Radius = 4.5 in
Circumference = 2πr
Circumference = 2(3.14)(4.5)
Circumference = 28.26 in
The ratio of men to women is 5:8, how many men are in the dance recital
Given : the ratio of men to women = 5 : 8
And there are 56 female in the dance recital
So, let the number of men = x
\(x\colon56=5\colon8\)Solve for x :
\(\begin{gathered} \frac{x}{56}=\frac{5}{8} \\ \\ x=\frac{5}{8}\cdot56=5\cdot\frac{56}{8}=5\cdot7=35 \end{gathered}\)So, the answer is : the number of men = 35
Write the first 4 terms of the sequence defined by the given rule. f(n) = n^3 -1
Answer:
0, 7, 26, 63
Step-by-step explanation:
1st term: f(1) = 1^3 - 1 = 0
2nd term: f(2) = 2^3 - 1 = 8 - 1 = 7
3rd term: f(3) = 3^3 - 1 = 27 - 1 = 26
4th term: f(4) = 4^3 - 1 = 64 - 1 = 63
Find the length of the side of a square with an area of 121 in
A. 484 in
B. 30.25 in
C. 11 in
D. 6.5 in
Answer:
C. 11
Step-by-step explanation:
Formulate
\(\sqrt{121}\)
Calculate
\(121\frac{1}{2}\)
Simplify using \(a^{\frac{n}{m} }=\sqrt[m]{a^{n} }\)
\(\sqrt{121}\)
Factor and rewrite the radicand in exponential form
\(\sqrt{11^{2} }\)
Simplify the radical expression
\(11\)
I hope this helps you
:)
Use the given data valuesâ (a sample of female arm circumferences inâ centimeters) to identify the corresponding z scores that are used for a normal quantileâ plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantileâ plot, then determine whether the data appear to be from a population with a normal distribution.40.334.831.838.244.2List the z scores for the normal quantile plot.â(Round to two decimal places as needed. Use ascendingâorder.)
Answer:
The normal quantile plot is provided below.
Step-by-step explanation:
The standardized normal scores are known as z-scores.
If there are n values in a data set then the area corresponding to these n values is given by:
\(\text{Area}=\frac{i-0.5}{n}\)
Here, i € {1, 2, ..., n}.
Arrange the data provided in ascending order.
S = { 31.8, 34.8, 38.2, 40.3, 44.2}
Consider the table for the z-scores.
To form the normal quantile plot, make a scatter plot with the z-scores on the y-axis and the values provided on the x-axis.
The normal quantile plot is provided below.
Select all solutions that are equivalent to the following expression 3^-5 x 3^2
Answer:
The pink one
Step-by-step explanation:
3^-5 x 3^2 = 3^(-5+2) = 3^-3
$20 haircut; 10% tip
Answer:
I think the answer is $22.00
6x^2=-3x+1 to the nearest hundredth
The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
6x² = -3x + 1
To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:
6x² + 3x - 1 = 0
Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)
Here; a = 6, b = 3, and c = -1.
Let's substitute these values into the quadratic formula:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)
Therefore, the values of x are -0.73 and 0.23.
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A credit union pays interest of 2% per annum on a certain
savings plan. If $1000 is deposited in such a plan and the
interest is left to accumulate, how much is in the account after 1
year?
Answer:
$1020
Step-by-step explanation:
1000 ÷ 100 = 10
10 × 2 = 20
$20 is gained per annum.
In each of the following graphs, find the lengths of the line segments shown. Write your answers (in simplest
radical form if they are not integers.
(a)
B
(b)
Q
The length of the two segments, written as radicals, are:
AB = √117
PQ = √244
How to find the length of the segments shown?Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:
L = √( (x₂ - x₁)² + (y₂ - y₁)²)
First, for the segment AB the endpoints are:
A = (-4, -4)
B = (2, 5)
Then the length is:
L = √( (-4 - 2)² + (-4 - 5)²)
L = √117
For the segment PQ the endpoints are:
P = (-6, 8)
Q = (6, -2)
The length is:
L = √( (-6 - 6)² + (8 + 2)²)
L = √244
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Find the SURFACE AREA of the sphere below with radius R = 7.75.---R--
Given:
The radius of the sphere is
\(r=7.75\)Required:
To find the surface area of the sphere.
Explanation:
The formula for surface area of sphere is
\(\begin{gathered} SA=4\pi r^2 \\ \\ =4\times3.142=(7.75)^2 \\ \\ =754.77 \end{gathered}\)Final Answer:
The surface area of the given sphere is 754.77
A fish store can place 5 fish in each fish bowl. If there are 263 fish to place, how many fish bowls are needed for all 263 fish?
Answer:
52.6
Step-by-step explanation:
263/5=52.6
Answer:
53
Step-by-step explanation:
You must take 263 and divide it by 5
263/5 = 52.6
So, 5 times 52 = 260
BUT 5 times 53 = 265. You would need 53 fish bowls
Ross purchases 3 cookbooks for $18.89 each, a set of measuring cups for $2.68, 4 kitchen utensils for $5.35 each and a cooling rack for $9.60. Ross uses a promotional discount of $5 off on the purchase of 3 or more cookbooks. There are no taxes charged on his purchase, but shipping charges are based on the following table: Amount of Purchase Standard Shipping Express Shipping up to $50 $4.00 $7.00 $50 up to $100 $5.25 $9.50 $100 up to $200 $6.00 $12.75 $200 and over $8.50 $15.00 Ross selects standard shipping and is billed $94.35 for the total of the online purchase. Determine if Ross has been billed correctly for his purchase. a. Ross has been billed correctly. b. Ross has not been charged enough for his purchase. c. Ross has been over charged by $3.75 for his purchase. d. Ross has been over charged by $4.25 for his purchase.
Answer:
C. Ross has been overcharged by $3.75 for his purchase.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2
Which equation represents this sentence?
6 times the difference of a number and 5 is equal to 36
5−6x=36
6(x−5)=36
6x−5=36
6(5−x)=36
The equation that represents this sentence "6 times the difference of a number and 5 is equal to 36" will be; 6(x - 5) = 36
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given a statement as "6 times the difference of a number and 5 is equal to 36"
Therefore, the 6 times means the multiplication.
Let the number be x then;
the difference of a number and 5 is equal to 36 means the subtraction that is;
(x - 5) = 36
Therefore, the equation becomes
6(x - 5) = 36
The equation that represents this sentence "6 times the difference of a number and 5 is equal to 36" will be; 6(x - 5) = 36
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there are 15 peices of fruit in a bowl and 6 of them are apples what percentage of the peices of fruit are apples
Answer:
40%
Step-by-step explanation:
6/15 = 0.4
0.4x100 = 40%
According the the chart below, what percentage of the Simpsons’ annual expenses is taxes? A circle graph titled Simpson's Annual Expenses. Federal taxes, 24 percent; State/local taxes, 10 percent; Housing and household, 23 percent; Food, 6 percent; Medical care, 8 percent; Transportation, 11 percent; Recreation, 3 percent; Clothing, 5 percent; Other, 10 percent. a. 10% b. 14% c. 24% d. 34% Please select the best answer from the choices provided A B C D Submitted
According to the circle graph, the percentage of the Simpsons’ annual expenses that is Federal taxes is 34%
What is a circle graph?A circle graph also known as pie chart has a shape of a circle and each section are represented in percentages or degrees
From the question, we have:
Federal taxes = 24%
State/local taxes = 10%
Housing and household = 23%;
Food = 6%
Medical care = 8%
Transportation = 11%
Recreation = 3%
Clothing = 5%
Other = 10%
The above means that the percentage of the Simpsons’ annual expenses that is Federal taxes will be:
= 24% + 10%
= 34%
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NO LINKS!!
A consulting engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour. A customer received a bill for $425 fir a certain job. If the assistant worked 5 hours less than the engineer, how much time did each bill on the job?
Engineer: _____ hr
Assistant: ______ hr
Answer:
Engineer: 9.5 hr
Assistant: 4.5 hr
Step-by-step explanation:
To solve this problem, we can create and solve a system of equations.
Define the variables:
Let x be the number of hours the engineer worked.Let y be the number of hours the assistant worked.Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:
\(40x+10y=425\)Given the assistant worked 5 hours less than the engineer:
\(y=x-5\)Therefore, the system of equations that represents the problem is:
\(\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}\)
Substitute the second equation into the first equation to eliminate y:
\(40x+10(x-5)=425\)
Solve the equation for x to find the number of hours the engineer worked:
\(\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}\)
Therefore, the engineer worked 9.5 hours.
Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:
\(\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}\)
Therefore, the assistant worked 4.5 hours.
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Tim
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Smarts
out of 10
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50
Statement
Reason
1
ASTV is equilateral
Given
2
SW & TU
Given
3
ZUTV - ZVSW
Given
4
SV & TV
Definition of equilateral triangle
5
ATUV W ASWV
Answer:
HELP me with my last qu3estion
Step-by-step explanation:
Which of the following are irrational numbers?
Choose the two correct answers.
Responses
100−−−√ 100 ,
28−−√ 28 ,
11−−√ 11 ,
2.78¯¯¯¯
Answer:
11 and 28
Step-by-step explanation:
ok is a unatural and is the probability of the worst role in all of the curriculum in this field will
Answer:
11 and 28 are the numbers your looking for
Step-by-step explanation:
had a problem like this on a test
What is the place value of 1 of 574.8931.
Jennie is paid $10 an hour for regular time work and $20 an hour for overtime
work what is Jennie's gross pay for a week in which she works 22 regular time
hours and 4 V overtime hours? (1 point)
Answer:
Jennie earned $300
Step-by-step explanation:
We are already given the amount of time that she works and the rate. We just need to multiply the time by the corresponding rate. She worked 22 regular hours and gets $10 for each one. That means she earned $220 just from the regular hours.
Now we need to add the overtime hours. She worked 4 hours and made $20 for each one. In total, that's $80.
220+80=300
Jennie earned $300
HELPPPPPPP PLEASEEEEE
Answer:
D
Step-by-step explanation:
-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
6 of 10 Answered
Reset
Submit
Session Timer: 78:05
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C
After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.
The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m