Answers
Answer:
x = 17
Step-by-step explanation:
x + 73 = 90
x = 90 - 73
x = 17
Related Questions
(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
Answers
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]
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.
Answers
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
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.
Answers
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)
Elena's cousins went to a restaurant. The part of the entire cost of the meal that was tax and tip together was 25% of the cost of the food alone. What could the tax rate and tip rate be?
Answers
BABES HELP ME OUT HERE OKAY TYSM MUAH MUAH
Answers
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
Cuando al menos una de cuatro banderas de colores rojo, verde, negro y azul es acomodadas verticalmente con un asta de bandera, el resultado indica una señal (o mensaje). Arreglos diferentes proporcionan señales diferentes a) ¿cuantas señales diferentes son posibles si las cuatro banderas son utilizadas? b) ¿cuantas señales diferentes son posibles si almenos una bandera es utilizada
Answers
Answer:
respuesta b
¿cuantas señales diferentes son posibles si almenos una bandera es utilizada?
4P4+4P3+4P2+4P1=64
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
Answers
Answer: hi
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
hope is helps <3
Could someone help? please the deadline is in 20 min!!!
Answers
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
find the arc length if the central angle a = 70°
and the radius is r=55 ft
Answers
Answer:
The arc length should be 67.1952 feet.
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
Consider the following prisms, whose bases are both squares.
Naomi tried to use Cavalieri's principle to show that the two figures have the same volume.
"The base areas are the same. Therefore, corresponding cross-sections have the same area. So the volumes must be the same."
What is the first mistake Naomi made?
Answers
Answer: C: she did not establish that heights are the same
Naomi mistaken about the bases.
What is difference between square and a rhombus?A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.
Every rhombus is not a square, The reason is that rhombus does not contain any right angles, so it would not a square.
Given two parallel piped figures
Naomi is mistaken by the base area as the bases are one is a a square and other one is a rhombus.
Hence, Naomi mistaken about the bases.
Find out more information about square and rhombus here
https://brainly.com/question/14483119
#SPJ2
Write the equation of the graphed line.
Answers
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
BRAINLIEST!!!!! PLZ SOLVE BELOW!!!!
Answers
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
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
Answers
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
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 ?
Answers
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.
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?
Answers
Answer:
252
Step-by-step explanation:
7/25=252/900
This is geometry. Please help. If at all possible show solving steps or step explanations.
Answers
Which expression can be used to find the difference of the polynomials?
(10m - 6) - (7m -4)
Answers
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)
Can somebody plz help answer these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWER THESE FIRST :DDD
Answers
Answer:
Shown Below
Step-by-step explanation:
WPT = 90
WPV = 30
VPT = 60
VPS = 90
RPS = 60
WPS = 120
QPS = 150
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°
Answers
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:
a library has 8,000 books and is adding 500 more each year. does the word problem represent a linear or exponential equation??
Answers
This is because an exponential function increases at an exponential rate. Or, with multiplication.
Linear functions increase at a constant rate, with addition.
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.
R
56
30°
T
S
What is the measure of Angle R?
plz help
Answers
Answer:
94
Step-by-step explanation:
180-30-56=94 degrees
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
Answers
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 measure of line segment EF. Please!!
Answers
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
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?
Answers
Answer:
a number
Step-by-step explanation:
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
Answers
Answer:
Step-by-step explanation:
i dont nkoe
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
Answers
Answer:
824 feet
Step-by-step explanation:
Got it right on Plato
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
- +
Answers
Answer:
i dont understand what the question means
Step-by-step explanation:
someone smart pls help
Answers
Answer:
5
Step-by-step explanation:
-2^2=-4
3^2=9
add
-4+9=5
Triangle ABC is dilated using D as the center of dilation with a scale factor of 1/3
Answers
Answer:
The middle also 9 -8 = 1
Step-by-step explanation:
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.
Answers
Answer: 193 inches squared
Step-by-step explanation:
