A café's annual income depends on x, the number of customers. The function /(x) = 4x2 – 20x
describes the café's total annual income. The function C(x) = 2x2 + 5 describes the total amount
the café spends in a year. The café's annual profit, P(x), is the difference between the annual income and the amount spent in a year.
Which function describes P(x)?
A. P(x)= 2x^2 - 20x - 5
B. P(x)= 4x^3 - 20x^2
C. P(x)= 6x^2 - 20x + 5
D. P(x)= 8x^4 - 40x^3 - 20x^2 - 100x
Answer:B
Step-by-step explanation:
The value of P(x) the difference between the annual income and the amount spent in a year is,
⇒ P(x) = 2x² - 20x - 5
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The function f (x) = 4x² – 20x describes the café's total annual income. And, The function C(x) = 2x² + 5 describes the total amount the café spends in a year.
Hence, The value of P(x) the difference between the annual income and the amount spent in a year is,
⇒ P(x) = 4x² - 20x - 2x² - 5
⇒ P (x) = 2x² - 20x - 5
Thus, The value of P(x) the difference between the annual income and the amount spent in a year is,
⇒ P(x) = 2x² - 20x - 5
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ2
I need help only in number 3
Answer:
I believe they're the same because the last part of the equation is the same
Step-by-step explanation:
because 3/x-4+4 they both are the same
Which expression gives the volume of a sphere with radius 16?
O A. $ r (262)
B. 47(262)
O C. (163)
O D. 4t(153)
Answer:
16,384π/3
Step-by-step explanation:
V = (4/3)πr³
V = (4/3)π(16³)
V = 16,384π/3
Answer:
Step-by-step explanation:
Equation
V = (4/3) pi r^3
Givens
r = 16
Solution
V = (4/3) pi 16^3
V = (1.3333) * 3.14 * 4096
V = 171148.5
None of those answers agree with mine. Are those the real choices?
Select the correct answer.
What is the purpose of the IRS?
A.
to collect taxes and enforce tax laws
B.
to provide a collection of domestic and foreign securities
C.
to foster cooperation between nations to solve economic issues
D.
to ensure fair global trade practices
Answer:
I think A ................
Solve for x. round your answer to the nearest whole degree.
Answer:
64°
Step-by-step explanation:
sin(x) = 17/19
take inverse sine of 17/19: [tex]sin^{-1}(17/19)[/tex] = 63.475°
they want to the nearest whole degree, so it would be ≈ 64°
The outside of a round swimming pool is 40ft. How far is it to swim from the center to the outside?
Answer:
20ft.
Step-by-step explanation:
The perimeter is 40ft. You are starting at the perimeter of the pool swimming inward, you will have to swim half of that distance to reach the center.
Each of the four shapes shown below has been made from four unit cubes.
For each shape, Max takes eight copies of the shape and tries to fit them together to make a
2
×
4
×
4
cuboid.
How many of the shapes can be used to make a cuboid of that size in this way?
Answer:
Step-by-step explanation:
32
Question Below! 20 points!
Answer: 20
Step-by-step explanation:
In ΔMNO, the measure of ∠O=90°, MO = 24, NM = 25, and ON = 7. What ratio represents the cosecant of ∠N?
Answer:
\csc N = \frac{\text{hypotenuse}}{\text{opposite}}=\mathbf{\frac{25}{24}}
cscN= opposite
hypotenuse = 24/25
Step-by-step explanation:
Can someone help me please explain how to solve
Answer:
120 sq ft 1/2 x b x h
Step-by-step explanation:
Five angles of a hexagon measure 119, 129, 104, 139 and 95 degrees. What is the measure of the sixth angle?
There are 126000 people living in a town. 52920 people in the town own a car. A local environmental group proudly announces 'fewer than 40% of residents own a car'. Is this statement accurate? Give a reason for your answer.
Answer:
False
Step-by-step explanation:
Given that
There are 126000 people living in a town
Out of which 52920 people in the town own a car
So based on this, the group announces that fewer than 40% of residents own a car
We need to find out the statement is correct or not
So here we determine the percentage
= 52,920 ÷ 126,000
= 42%
Since it is more than 40%
So the given statement is false
HELP PLEASE. urgent help needee
Answer:
123 cm^2
Step-by-step explanation:
for the rectangles its
#1 5(4)=20 cm^2
#2 5(7)= 35 cm^2
#3 5(8) = 40 cm^2
for the triangles its
4(7)(.5)(2)= 28 cm^2
4(7)= 28 cm^2
I get the .5 from the triangle area formula
and since the triangles are equal I multiplied it by 2 again so the .5 cancels out.
in the end you add them all up which is 20+35+40+28 = 123 cm^2
Enter the correct answer in the box. What are the solutions to the equation (x - 21)^2 = 25?
Answer:
x = 26
Step-by-step explanation:
[tex] {(x - 21)}^{2} = 25 \\ x - 21 = \sqrt{25} \\ x - 21 = 5 \\ x = 5 + 21 \\ x = 26[/tex]
Answer:
x = 26, x = 16.
Step-by-step explanation:
(x - 21)² = 25
Expand the factor.
(x - 21)(x - 21) = 25
Multiply using FOIL.
x² - 42x + 441 = 25
Subtract 25 from both sides.
x² - 42x + 416 = 0
Factor.
(x - 26)(x - 16) = 0.
Set both expressions to 0 and solve.
x - 26 = 0
Add 26 to both sides.
x = 26
x - 16 = 0
Add 16 to both sides.
x = 16
help me its due in 13 mins i forgot about it
Answer:im so sorry but i cant see the page you should take a more clear picture and send it again
Step-by-step explanation:
pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you please I beg you no n no no no link
Answer:
use ma th wa y (its all together)
Step-by-step explanation:
Answer:
10. The number of cupcakes Sheldon would have to buy to recieve the same number of cupcakes in a package would be 30 cupcakes in a package.
Step-by-step explanation: Find the least common denominator (LCD) of six and ten which is, 30.
11. The greatest number of necklaces Samuel would have to make is four.
Step-by-step explanation: Divide 148 necklaces by 36 strings and the answer will be four necklaces.
12. The greatest length, in feet, of each piece of ribbon Karen, would have to cut is six feet.
Step-by-step explanation: Find the greatest common denominator (GCD) of 18 and 12 which is, six.
13. Find the least common denominator of five and three which is, 15 minutes.
Step-by-step explanation:
Jacob will finish his laps in these following minutes, supposing he starts at zero.
3 minutes, 6 minutes, 9 minutes, 12 minutes, 15 minutes...
That is, all instants of time which are multiples of three.
Betty
5 minutes, 10 minutes, 15 minutes, 20 minutes, 25 minutes, ...
That is, all instants of time which are multiples of five.
Mi tarjeta de crédito está saturada por lo que tanto recurre un préstamo que cobra el 8% mensual por la cantidad que se solicite me prestaron 3500 cuál es la cantidad de que debo pagar al prestamista en un mes para saldar la deuda
Answer:
El valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.
Step-by-step explanation:
Para encontrar el valor que debes pagar en un mes para saldar la deuda, debes calcular el 8% del valor que te prestaron y este sería el monto de los intereses. Después, debes sumarle esta cantidad al valor que te prestaron:
monto del préstamo= 3500
3500*8%=280
3500+280=3780
De acuerdo a esto, la respuesta es que el valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.
Cindy feeds her dog 1/3 pound of food each day after 6 day,how many pounds of food has she given to her dog?
Answer: 2 pounds
Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.
two lines intersect in the figure below. what is the value of x?
Answer:
A. 17
Step-by-step explanation:
The angles are adjacent, meaning they are congruent. So you will set (5x + 6) equal to 91
(5x + 6) = 5x + 6
5x + 6 = 91
5x + 6 - 6 = 91 - 6
5x = 85
5x / 5 = 85 / 5
x = 17
Given m and n are parallel lines, t is a transversal
crossing both m and n, and m48 = 100 degrees,
what is the measure of 3?
Answer:
they would measure 74 meters
Avery invested $21,000 in an account paying an interest rate of 3.3%
compounded continuously. Assuming no deposits or withdrawals are made,
how long would it take, to the nearest year, for the value of the account to
reach $29,200?
Answer:
i thought i have answered this question b4
Write 5.3421 (bar on 21) in p/q form
Answer:
[tex]\frac{52887}{9900}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 21 placed after the decimal point.
let x = 5.34212121 ( multiply both sides by 100 and 10000 )
100x = 534.2121... → (1)
10000x = 53421.2121... → (2)
Subtract (1) from (2) thus eliminating the repeating 21
9900x = 52887 ( divide both sides by 9900 )
x = [tex]\frac{52887}{9900}[/tex]
solve:
100^x=10^(2x+5)
Answer:
[tex]100^x=10^{2x+5}\\100 = 10^2[/tex]
simplifies to
[tex]10^{2x}=10^{2x+5}\\2x = 2x+5\\0=5[/tex]
no solution
Is QRST at the right a rectangle? Explain.
Answer:
Right rectangle.
Step-by-step explanation:
The rectangle will be a right rectangle only if the opposite sides are parallel to each other.
This means that RQ should be parallel to ST
And RS should be parallel to QT
Each side can be represented by a line with a restricted domain, and we know that two lines are parallel only if they have the same slope.
Remember that the slope relates to how a change in the x-value makes a change in the y-value.
Then if two segments have, for a fixed change in the x-value, the same change in the y-value, we can conclude that those segments are parallel.
So here to see if the lines are parallel, we just need to compare the changes between the endpoints of each segment.
Let's start with segments QR and TS
First let's look at the segment QR, and let's try to find the difference in the coordinates between R and Q.
In the graph, we can see that R is 3 units above and one unit to the right of Q.
Now let's do the same for the other segment:
In the graph, we also can see that S is 3 units above and one unit to the right of T.
So these two lines will have the same slope:
Only with this, we can conclude that sides QR and TS are parallel.
Now with the other two segments: RS and QT.
Similar to the above case, for the segment RS we can see that S is 4 units at the right and 1 unit below R.
For the segment QT, we can see that T is 4 units at the right and one unit below Q.
So segments RS and QT have the same slope, thus, the segments are parallel.
Then we can conclude that this is a right rectangle.
A 3ft child casts a 2ft shadow at the same time a tree casts a shadow that is 6ft long how tall is the tree?
Answer:
[tex]h_t=9ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height of child [tex]h_c=3ft[/tex]
Height of child's shadow [tex]h_c_s=2ft[/tex]
Height of tree's shadow [tex]h_t_s=6ft[/tex]
Since position of Sun remains constant
Generally the equation for Height of tree h_t mathematically given by
[tex]h_t=f_{ts}\frac{h_c}{h_c_s}[/tex]
[tex]h_t=6*\frac{3}{2}[/tex]
[tex]h_t=9ft[/tex]
WHAT IS THE MEDIAN pls help
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer: I would say 50%
Step-by-step explanation: Because there is a 50 50 chance on getting heads or tails.
Answer:
I believe it is a 50% chance because there are only two sides to the coin. 100 divided by two is 50.
Step-by-step explanation:
I'm not sure if that is the way you are supposed to solve it. Sorry if the answer is incorrect.
What is the next term in the sequence 58, 47, 36, 25...?
Answer:
14
Step-by-step explanation:
subtract 11 each time.
Answer:
14
Step-by-step explanation:
Because look at the pattern they subtrat from 11
Please Help! The diagram shows the graph of y=2x+c, where c is a coonstant. Find the value of k.
Answer:
k = 6.5
Step-by-step explanation:
The question relates to the association of the association of the equation of a graph point(s) on the graph
The given equation of the graph, is y = 2·x + c
The value of 'c' is a constant
We note that the value of 'c' can be found when x = 0, as follows;
y = 2·x + c = 2 × 0 + c = c
∴ When x = 0, y = c
From the graph, when x = 0 we have the y-intercept, the point the graph crosses the y-axis, which is the point y = -3
Therefore;
When x = 0, y = -3 = c
∴ c = -3
The equation of the graph becomes, y = 2·x + (-3) = 2·x - 3
y = 2·x - 3
The other given point on the graph is the point (k, 10)
The value k is the x-value when y = 10
Substituting y = 10 in the equation for the graph gives the x-value at the point y = 10 as follows;
10 = 2·x - 3
2·x = 13
x = 13/2 = 6.5
x = 6.5 (when y = 10)
Therefore the point (k, 10) = (6.5, 10)
By comparing the two equal coordinates, we have;
k = 6.5.
The angle of elevation to a building in the distance is 22°. You know that the building is approximately 450ft tall. Estimate the distance to the base of the building
Answer:
1114 ft
Step-by-step explanation:
tan 22°=450/d
==>d=450/tan 22°=1113.7890... ≈1114 (ft)