Answer:
2√13
Step-by-step explanation:
⇒ √(3√3)² + 5²
⇒ √27 + 25
⇒ √52
⇒ 2√13
A company has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x=77000−5p^2
The price has been increasing by $7 per month. Find the rate at which revenue is changing when the price is $70. Note: the answer might be negative
Since the price has been increasing by $7 per month, the rate at which revenue is changing when the price is $70 is $24500/month
To answer the question, we need to know what revenue is
What is revenue?This is the total price for the total amount of goods sold.
Revenue, R = px where
p = price and x = quantity = 77000 - 5p²So, R = px
= p(77000 - 5p²)
= 77000p - 5p³
The rate at which the revenue is increasing
To find the rate at which the revenue is increasing with respect to price, we differentiate R with respect to p.
So, dR/dp = d(77000p - 5p³)/dp
= 77000dp/dp - 5dp³/dp
= 77000 - 15p²
The rate at which the revenue is changing with the price is $70
Substituing p = 70 into dR/dp, we have
dR/dp = 77000 - 15p²
dR/dp = 77000 - 15(70)²
= 77000 - 15(4900)
= 77000 - 73500
= 3500
The rate at which the revenue is changing per month
The rate at which the revenue is changing per month is
dR/dt = dR/dp × dp/dt where dp/dt = rate at which price is changing = $7 per month.
Now, dR/dt = dR/dp × dp/dt
So, dR/dt = 3500 × $ 7/month
dR/dt = $24500/month
So, the rate at which revenue is changing when the price is $70 is $24500/month
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Can you please graph it? (:
What is the sum of 1/2plus 1/4use fractions strip to help
Answer:
Step-by-step e6/8 or in simple terms, 3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
1/2 is just 2/4
2/4+1/4 = 3/4
=)
Find the area of the composite figure. First, find the area of the triangle.
Please help acellus sucks
Step-by-step explanation:
Rectangle area= 40×30= 1200cm²
Triangle area= 20×20= 400cm²
Total are of composite figure= 1200+400=1600cm²
What is the approximate value of x in the equation below? log Subscript 5 Baseline 15 = x + 3
Rachel bought a suit on sale for $268. This price was 33% less than the original price. What was the original price?
Answer:
$356.44
Step-by-step explanation:
In which of the following do you expect the correlation coefficient to be negative?
Answer: A????????????
Step-by-step explanation:
you need to show the following
What is the value of the expression (8^2/3)^1/2
[tex]\left( 8^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies \left( (2^3)^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies 2^{3\cdot \frac{2}{3}\cdot \frac{1}{2}}\implies 2^{\frac{1}{1}}\implies 2[/tex]
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-5)
1
slope F 4
O A. y=-X+5
© B. y= -x-5
O C. y= 5x- 4
O D. y= 5x+ g
Answer:
B.
Step-by-step explanation:
1) if s-slope and i-interception of the equation y=sx+i, then
2) the required equation is
[tex]y=\frac{1}{4}x -5.[/tex]
3) correct answer is B.
A projectile is shot upward from the surface of Earth with an initial velocity of 89 meters per second. Use the position function below for free-falling objects. What is its velocity after 4
seconds? After 10 seconds? (Round your answers to one decimal place.)
Answer:
300 ft for 4 seconds and 10 feet for 10 seconds
Step-by-step explanation:
Farmer Alice has a fruit stand at the farmer's market.
She has a total of 80 pieces of fruit.
Of the fruit, 20 pieces are apples. 1/5 are peaches.
The rest are oranges.
What fraction of the fruit are oranges?
Give your answer in simplest form.
80-20=40
1/5 of 40 =8
80-48=32
32 oranges
PLEASE HELP PLEASE HELP PLEASE
Answer:
1:5
Step-by-step explanation:
2:10 = 1:5
Hope it helped !
find the area of circle AOB 60 degrees and radius 7
Answer:
Solution: The radius of the circle is 7 inches and the angle is 60°. So, let us use the area of sector formula. The area of sector = (θ/360°) × π r2 = (60°/360°) × (22/7) × 72 = 77/3 = 25.67 square units.
Step-by-step explanation:
yan po ang sagot.
help me i need your help
Answer:
44°
Step-by-step explanation:
180° - 68° = 112° (Angle 1)
The sum of the angles of a triangle is equal to 180°, so:
180° - 112° - 24° = 44°
Factor the following expression.
x^2-14x+49
Answer: Heyaa! ~
Your Answer is... (x−7)² , Which is B.
Step-by-step explanation:
Factor using the perfect square rule!
Explanation:
A whole number that is the square of an integer. Example:
16 is a perfect square because 4⋅ 4 = 16.
Hopefully this helps you! ^^
Answer:
x^2 - 7x - 7x + 49
x(x - 7) - 7(x - 7)
(x - 7) (x - 7)
(x - 7)^2
After Halloween, Kyle had 4 3/8 bags of candy. If Kyle gives 1 7/8
bags of candy to his little brother, how many bags of candy will
he have left
Answer:
2 1/2
Step-by-step explanation:
To solve this, we subtract 1 7/8 from 4 3/8 because Kyle "gives" away his candy. The answer to this is 2 1/2.
Answer:
2.5 OR 3 1/2
Step-by-step explanation:
Well we can just do
4 and 3.8 minus 1 and 7/8
like how you would do on real problems
Do the same thing to fractions instead
Hope this helps! Im a real math expert
Tell me if anymore questions!
Write the equation of a circle with center (-3, 5) and a point on the circle is (1, 8).
Equation:
Answer:
[tex](x + 3)^2 + (y - 5)^2 = 5^2[/tex]
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (-3,5).
Point on the circle is (x,y) = (1,8)
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (-3,5) and (x,y) = (1,8) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(1 - (-3))^2 + (8 - (5))^2 = r^2
(4)^2 + (3)^2 = r^2
16 + 9 = r^2
r^2 = 25
r = 5
Hi I need help on this I've been working on it for about 20 minutes now please help :)
Answer:
V = 4 2/3 units ^3
Step-by-step explanation:
We are given the area of the back rectangle
V = BH where B is the area of the base
V = 3 1/3 * 1 2/5
Rewriting the mixed numbers as improper fractions
V = 10/3 * 7/5
V = 70/15
Simplifying
V = 14/3
Changing back to a mixed number
V = 4 2/3 units ^3
(2x)(2x)=(x+10)(2x-3) what is x?
Answer:
x = 5/2 or x = 6
Step-by-step explanation:
(2x)(2x)=(x+10)(2x-3)
4x^2 = 2x^2 - 3x + 20x - 30
2x^2 - 17x + 30 = 0
(2x - 5)(x - 6) = 0
x = 5/2 or x = 6
Given the two similar flags shown,find the perimeter of the larger flag
The sum of the external side of a figure is its perimeter. the perimeter of the larger flag is 48
Similar shapesShapes are known to be similar if the ratioof their similar sides is equal to a constant.
From the given diagram, find the scale factor of the large triangle
k = 12/4
k = 3
Determine the perimeter of the large flag
Perimeter = 3 * perimeter of small flag
Perimeter of large flag = 3 * 16 = 48
Hence the perimeter of the larger flag is 48
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Is 15 cm greater than or less than 150 mm
Answer:
Those are the same measurment!
Step-by-step explanation:
Conversion:
Conversion is 1cm=10mm
At the start of a hike a hiker was at an elevation of -50 feet or zero represents sea level the hiker climbs at a rate of 15 feet per minute. Write an inequality that represents T the number of minutes after the start of the hike when the hikers elevation was higher than 5 feet above sea level explain or show your reasoning
Which statements are true about exponential functions? Check all that apply.
Answer:
The answer is A
Step-by-step explanation:
its a multiple answer choice. so A , D
Hadeer decides to survey a random sample of students at her school about their favorite sport. There are 800 students in her school. Which of the following sample sizes would best represent the preferences of all the students at her school?
80 students
50 students
8 students
85 students
The best representation of the preferences of all the students at her school will be 80 students.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000.
The sample size will be calculated as:-
= 10 % of 800
= 800 x 0.1 = 80 students
Therefore the best representation of the preferences of all the students at her school will be 80 students.
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What is the product of the fraction below (3/x+2) (7/2x)
Answer:21x^2+14x over 2
Step-by-step explanation:
A bag contains 3 green marbles and 7 purple marbles.
a) Determine the fraction that are green marbles.
b) Calculate the percentage that are purple marbles.
Answer:
Below in bold.
Step-by-step explanation:
Total of 10 marbles in the bag.
a) Fraction that are green = 3/10.
b) Fraction that are purple = 7/10
= 100 * 7/10
= 90*7
= 70%
approximately what portion of the box is shaded blue? 2/10 2/5 2/3
A circle has a radius of 15 inches. What is the area, in square inches, of this circle?
(The area of a circle with a radius of r is equal to are.)
Answer:
[tex]A=225\pi[/tex]
Explanation:
Calculate the area of circle:
Answer: [tex]A=225\pi[/tex]
how many quarter centimeters can you get from ten centimeters?
Answer: 0.44 qtr
Step-by-step explanation:
10 centimeters to quarters = 0.44 qtr
The solid below is made from 1 meter cubes.
Find its surface area.
Please help guys!
Answer:
The Answer is 8m square
Step-by-step explanation:
2m is the width
4m is the length
Answer:
52m²
Step-by-step explanation:
First since its only showing the front, top, and right side of the shape you count up all of the cubes you see.
Amount of cubes on each side:
Front: 6 cubes
Top: 8 cubes
Side: 12 cubes
6+8+12=26 cubes
But there is 6 sides total on the shape. Because we only did 3 sides, to get the final answer you multiply it by 2.
26×2=52
Final answer: 52m²
