Answer:
10
Step-by-step explanation:
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(1 point) A certain magical substance that is used to make solid magical spheres costs $800 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $70 per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere
Answer:
The answer is "[tex]r=0.175 \ ft[/tex]"
Step-by-step explanation:
using formula:
[tex]\to \text{profit = revenue-cost}[/tex]
[tex]\to revenue = 70 \times 4\pi r^2 = 280\pi r^2\\\\\to cost = 800 \times \frac{4}{3} \pi r^3 = \frac{3200}{3} \pi r^3[/tex]
so,
[tex]\to profit (p)= 280\pi r^2 - \frac{3200}{3} \pi r^3\\\\\text{max profit when}\\\\\to 560 \pi r-3200 \pi r^2=0[/tex]
[tex]\to \pi r(560 -3200r)=0\\\\ \to (560 -3200r)=0\\\\\to 3200r=560\\\\\to r=\frac{560}{3200}\\\\\to r=\frac{56}{320}\\\\\to r=\frac{7}{40}\\\\\to r=0.175 \ ft[/tex]
5 pts
A 65 inch TV is 65 inches across the diagonal. If the length of
the TV is 57.1 inches wide, how tall is it?
Answer:
a number
Step-by-step explanation:
Could someone help? please the deadline is in 20 min!!!
Answer:
7.$95 8. $112.50
Step-by-step explanation:
7.
50 divided by 100 is 0.5, then times by 90 is 45.
45 plus 50 is 95.
8.
$150/4=$37.50
$150-$37.50=$112.50
An important problem in industry is shipment damage. A pottery producing company ships its product by truck and determines that it can meet its profit expectations if, on average, the number of damaged items per truckload is fewer than 11. A random sample of 19 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.49. Select a 95% confidence interval for the true mean of damaged items.
Answer:
The 95% confidence interval for the mean is approximately;
(9.063, 9.737)
Step-by-step explanation:
The given parameters are;
The mean of the sample, [tex]\overline x[/tex] = 9.4
The sample variance, s² = 0.49
The sample size, n = 19
The confidence level = 95%
Therefore, we get;
[tex]CI=\bar{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}[/tex]
The degrees of freedom, df = n - 1
∴ df = 19 - 1 = 18
From the t-table, the critical-t = 2.101
Therefore, we have;
[tex]CI=9.4\pm 2.101 \times \dfrac{\sqrt{0.49} }{\sqrt{19}}[/tex]
Therefore, we have;
9.4 - 2.101×√(0.49/19) < μ < 9.4 + 2.101×√(0.49/19)
9.0626 < μ < 9.737
∴ The 95% confidence interval for the mean ≈ (9.063, 9.737)
a library has 8,000 books and is adding 500 more each year. does the word problem represent a linear or exponential equation??
Answer:
This problem represents a linear equation.
Step-by-step explanation:
A linear equation is by adding to a certain number, but an exponential equation is multiplying by a certain number. Therefore, it is a linear equation.
BABES HELP ME OUT HERE OKAY TYSM MUAH MUAH
Answer:
I really think it's A cause I hust had that same question on my test
Answer:
I think it's A cuz for me, B is just... I don't know about B
Use linear function g(x)=3x+5
a. Given x= 1,3,5,7 what are the output values of g(x). respectively?
b.write the input and output values as ordered pairs (hint: there are four order pairs.)
c. How did the order pairs change ?
A. 8, 14, 20, 26
B. (1, 8), (3, 14), (5, 20), (7, 26)
C. As x increased by 2, g(x) increased by 6. If x increases by 1, g(x) will increase by 3.
Hope this helped.
Lines CD and DE are tangent to circle A shown below: Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 112 degrees. Point B lies on circle A. If Arc CE is 112°, what is the measure of ∠CDE? (4 points) Question 5 options: 1) 124° 2) 136° 3) 68° 4) 56°
Answer:
Option (3)
Step-by-step explanation:
By the theorem, angle between two tangents intersecting each other outside the circle is half of the difference between intercepted arcs.
From the figure attached,
Two tangents CD and DE are intersecting each other at point D outside the circle A.
Two intercepted arcs are minor arc CE and major arc CBE,
Measure of arc CE = 112°
Therefore, measure of major arc CBE = 360° - 112°
= 248°
m(∠CDE) = [tex]\frac{1}{2}(\text{arcCBE}-\text{arcCE})[/tex]
= [tex]\frac{1}{2}(248-112)[/tex]
= [tex]\frac{1}{2}\times 136[/tex]
= 68°
Option (3) will be the correct option.
Answer:
C
Step-by-step explanation:
State the best term for the given figure in the diagram
1.) F
2.) FE
B
13.) HG
4.) DB
5.) C
6.) BE
7.) DB
8.) AG
Note: Be able to define and draw a picture all all terms used in Chapter 10
In questions 9-10, BC is a radius of OC and AB is a tangent to OC.
Find the value of x
9.)
10.)
96
100
32
Q
56
The points K and M are points of tangency. Find the value(s) of x
11.)
12.)
K
K
3x - 10
4x + 7
.L
17
7x - 8
M M
Page
1 / 5
- +
Answer:
i dont understand what the question means
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
From the top of a 300-foot cliff overlooking the ocean, Kelly measures the angle of depression to a boat approaching the shore as 20°.
What is the approximate distance between the boat and the base of the cliff? Round your answer to the nearest whole foot.
feet.
The distance between the boat and the base of the cliff is
Answer:
824 feet
Step-by-step explanation:
Got it right on Plato
BRAINLIEST!!!!! PLZ SOLVE BELOW!!!!
The length is 4.5 inches and the width is 2.5
divide the scale factor 1:16 to the real life lawn measure being 9 inches by 5 inches and that gives us
The length of inches and inches
Hope this helps
Gina randomly selected students at her school to ask them about their
favorite season. If there are 900 students at Gina's school, how many of
them would choose fall as their favorite season?
Answer:
252
Step-by-step explanation:
7/25=252/900
The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.
a. What percent of the buildings are no taller than 345 meters?
About ____
percent of the buildings are no taller than 345 meters.
Answer:
75%
Step-by-step explanation:
The answer is 75% because each point/dot, represents 25% of the data. Below 345 meters are 3 points, therefore 3 * 25% = 75%.
Approximately 75% of the buildings are no taller than 345 meters for the box-and-whisker plot.
What is the box and whisker plot?A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.
The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.
We can see that all three of the data points that are less than or equal to 345 meters are included in the lower half of the box-and-whisker plot, which represents the range from the minimum to the median height.
This means 3 × 25% = 75%.
So, we can estimate that approximately 50% of the buildings are no taller than 345 meters.
To learn more about the box and whisker plot click here:
https://brainly.com/question/2742784
#SPJ2
The exponential function), whose graph is given below, can be written as h(x) = a•b^x.
Complete the equation for h(x).
Answer:
Step-by-step explanation:
h(x)=a*b^x
it passes through (0,6) and (1,4)
6=a*b^0
6=a*1
a=6
h(x)=6*b^x
4=6*b^1
b=4/6=2/3
[tex]h(x)=6*(\frac{2}{3} )^x[/tex]
30 men can do a piece of work in 40 days . How long will it take to complete the work if 5 men are reduced? (Ans - 48 days ) Do step by step
Answer:
48 days
Step-by-step explanation:
Given that :
30 men can ado a piece of work in 40 days
Assume they work at the same rate, then we it means that ;
1 man will take (30 * 40) = 1200 days to finish the work
Reducing 5 men, means we now have (30 - 5) = 25 men
If ;
1 man takes 1200
25 men will take ;
1200 / 25
= 48 days
find the arc length if the central angle a = 70°
and the radius is r=55 ft
Answer:
The arc length should be 67.1952 feet.
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
3. Julissa's rose garden is in the shape of a trapezoid with a height of 35 feet. The bases of
the garden measure 50 feet and 32 feet. What is the area of Julissa's rose garden? *
C. 1,435 square feet
A. 58.5 square feet
B: 1,360 square feet
D. 2,870 square feet
Answer:
Step-by-step explanation:
i dont nkoe
What is the unit rate from 1 1/4 cups of milk in 15 brownies
Answer:
12
Step-by-step explanation:
divide 15 by 1.25 because 1 1/4 in decimals is 1.25
Triangle ABC is dilated using D as the center of dilation with a scale factor of 1/3
Answer:
The middle also 9 -8 = 1
Step-by-step explanation:
find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees
Answer: hi
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
hope is helps <3
Can somebody plz help answer these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWER THESE FIRST :DDD
Answer:
Shown Below
Step-by-step explanation:
WPT = 90
WPV = 30
VPT = 60
VPS = 90
RPS = 60
WPS = 120
QPS = 150
PLEASEE HELPPP!!! I APPRECIATE ITTTT
Answer:
this is about a 45 degree angle
Step-by-step explanation:
R
56
30°
T
S
What is the measure of Angle R?
plz help
Answer:
94
Step-by-step explanation:
180-30-56=94 degrees
Which expression can be used to find the difference of the polynomials?
(10m - 6) - (7m -4)
Answer:
Value of given expression (10m - 6) - (7m - 4) is (3m - 2)
Step-by-step explanation:
Given:
Expression (10m - 6) - (7m - 4)
Find:
Value of given expression (10m - 6) - (7m - 4)
Computation:
(10m - 6) - (7m - 4)
Multiply " - " into (7m - 4)
So,
Solution ⇒ 10m - 6 - (7m) - (-4)
By solving brackets;
Solution ⇒ 10m - 6 - 7m + 4
Solution ⇒ 3m - 2
Value of given expression (10m - 6) - (7m - 4) is (3m - 2)
Write the equation of the graphed line.
Answer:
y = 1/4x+2
Step-by-step explanation:
y = mx+b where m is the slope and b is the y-intercept.
y = (-1/4)x+2
The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The
height of the prism is 16.5 meters.
Answer:
379.5 square units
Step-by-step explanation:
The computation of the lateral surface area of the prism is shown below;
Here we have to use the following formula
= (a + b+ c) ×h
where
a = 5
b = 10
c = 8
And, h = 16.5
SO, the lateral surface area of the prism is
= (5 + 10 + 8) × 16.5
= 23 × 16.5
= 379.5 square units
Find the measure of line segment EF. Please!!
Answer:
EF = 26
Step-by-step explanation:
From the question, we have that arc EF and arc CD are equal
what this indicates is that the line that bounds these arcs too will be equal
Hence, CD equals EF
Thus;
9x-1 = 41-5x
9x + 5x = 41 + 1
14x = 42
x = 42/14
x = 3
Recall;
EF is 41-5x
EF = 41-5(3)
EF = 41-15
EF = 26
Look at the question below
Answer:
y=6x is the answer
Step-by-step explanation:
Answer: y=6x
Step-by-step explanation:
12= (6) 2
24=(6) 4
36=(6) 6
48= (6) 8
So 6 is the correct.
Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.
Answer: 193 inches squared
Step-by-step explanation:
Write the equation of the circle with a center of (-5, 3) and a radius of 4.
A
(x + 5)2 + (y - 3)2 = 4
B
(x - 5)2 + (y + 3)2 = 4
(X - 5)2 + (y + 3)2 = 16
D
(x + 5)2 + (y - 3)2 = 16
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 5, 3 ) and r = 4 , then
(x - (- 5))² + (y - 3)² = 4² , that is
(x + 5)² + (y - 3)² = 16 → D
