Answer:
hang ups the receiver
Step-by-step explanation:
In this case, there is a difficulty for the call center to determine the average time that each caller spends on each type of request, since there is also the possibility that the recipient will not be interested in the call or hang up when receiving such a call. Therefore, in order to calculate this average in a more real way, the company must statistically monitor this data in relation to each hour of work and how many situations occurred in that hour, how many calls received were answered, how many received a busy signal, how many are not answered and how many calls last less than a minute if the recipient is not interested or hangs up.
Through this data, the company is able to monitor the calls and define telephone service strategies that can retain the customer more if the calls in less than a minute exceed conventional calls.
Find the derivative of f(x) = -12x2 + 9x at x = 6.
a) -112.5
b)-135
c)90
d)108
hi
f(x) = -12x²+9x
So
f'(x) = -24x +9
if x = 6 then f'(6) = -24 (6) +9 = -135
For the right triangles below, find the exact values of the side lengths b and a. If necessary, write your responses in simplified radical form. 300 Х X 5 ? 459 5 4= 45° 60 3
Answer:
who knows
Step-by-step explanation:
Please help meeeeeee
The solution is (4, 125). This means that the cost of being in soccer and band for four months is the same, $125. It's where the costs of those two clubs intersect.
Step-by-step explanation:
The solution to a system of linear equations is the point where the two functions intersect. You can see from the graph that the two lines intersect at the point (4, 125)
The number 4,250 is ten times smaller than what number?
Answer:
42,500
Step-by-step explanation:
The number which is ten times greater than 4250 is 42, 500.
What is algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The number 4,250 is ten times smaller than what number.
let the number be x.
So, x/10 = 4250
Now, make x as subject formula
x = 4250(10)
x= 42500
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ2
Jamie placed $2800 in a savings account which earns 4.3% interest, compounded continuously. How much will she have in the account after 9 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:
4123
Step-by-step explanation:
A=Pert,
where A is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), and t is the time (in years). We are given that P=2800, r=0.043, and t=9. Substituting the values into the formula and using a calculator to evaluate, we find
A=Pert=2800e(0.043)(9)≈4123.16
Choose the THREE expressions that represent quadratic functions.
Answer:
3 / 5 and 6 options
Step-by-step explanation:
A quadratic function has the form
an² + bn + c ( a ≠ 0 )
From the given table
n² + 1 ← is in this form ( 3rd option )
n(n + 4)
= n² + 4n ← is in this form ( 5th option )
n(n + 6) + 2
= n² + 6n + 2 ← is in this form ( 6th option )
A function y(t) satisfies the differential equation dy dt = y4 − 10y3 + 24y2. (a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.) y = (b) For what values of y is y increasing? (Enter your answer in interval notation.) y (c) For what values of y is y decreasing? (Enter your answer in interval notation.) y
Answer:
[tex](a)\ y =0\ or\ y=4\ or\ y=6[/tex]
[tex](b) \ (-\infty,4)\ u\ (6,\infty)[/tex]
[tex](c)\ (4,6)[/tex]
Step-by-step explanation:
Given
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
Solving (a): The constants
This implies that:
[tex]\frac{dy}{dt} = 0[/tex]
So, we have:
[tex]y^4 - 10y^3 + 24y^2 = 0[/tex]
Factorize:
[tex]y^2(y^2 - 10y + 24) = 0[/tex]
Expand and Factorize the expression in bracket
[tex]y^2(y^2 - 6y - 4y + 24) = 0[/tex]
[tex]y^2(y(y - 6) - 4(y - 6)) = 0[/tex]
[tex]y^2(y - 4)(y - 6) = 0[/tex]
Split
[tex]y^2 =0\ or\ y-4=0\ or\ y-6=0[/tex]
Solve for y
[tex]y =0\ or\ y=4\ or\ y=6[/tex]
The above represents the constants
Solving (b): Increasing values
Here
[tex]\frac{dy}{dx} > 0[/tex]
Follow the same process in (a) but replace all = with >
i.e.
[tex]y^2(y - 4)(y - 6) > 0[/tex]
[tex]y >0\ or\ y>4\ or\ y>6[/tex]
Test the values of each inequality
For [tex]y > 6[/tex]; say [tex]y = 7[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 7^4 - 10*7^3 + 24*7^2[/tex]
[tex]\frac{dy}{dt} = 147[/tex]
[tex]147 > 0[/tex]
This is true for [tex]\frac{dy}{dx} > 0[/tex]; This implies that: [tex](6, \infty)[/tex]
For [tex]y > 4[/tex] Say [tex]y = 5[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]
[tex]\frac{dy}{dt} = -25[/tex]
This is false:
Say [tex]y = 3[/tex] i.e. [tex]y < 4[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]
[tex]\frac{dy}{dt} = 27[/tex]
[tex]27 > 0[/tex]
This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that: [tex](0,4)[/tex]
For [tex]y > 0[/tex]
[tex]y > 0[/tex] implies that: [tex]y < 4[/tex]
For [tex]y < 0[/tex] say [tex]y = -1[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]
[tex]\frac{dy}{dt} = 35[/tex]
This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that [tex](-\infty, 0)[/tex]
We have: [tex](-\infty,0), (0,4)\ and\ (6,\infty)[/tex]
[tex](-\infty,0)\ and\ (0,4)[/tex] can be combined to give: [tex](-\infty,4)[/tex]
So, the interval is: [tex](-\infty,4)\ u\ (6,\infty)[/tex]
Solving (c): Decreasing values
Here
[tex]\frac{dy}{dx} < 0[/tex]
i.e.
[tex]y^2(y - 4)(y - 6) < 0[/tex]
[tex]y <0\ or\ y<4\ or\ y<6[/tex]
Test the values of each inequality
For [tex]y < 6[/tex]; say [tex]y = 5[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]
[tex]\frac{dy}{dt} = -25[/tex]
This is true for [tex]\frac{dy}{dx} < 0[/tex]; This implies that: [tex](\infty,6)[/tex]
For [tex]y < 4[/tex]; say [tex]y = 3[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]
[tex]\frac{dy}{dt} = 27[/tex]
This is false
Say [tex]y = 5[/tex] i.e. [tex]y > 4[/tex]
This is the same as: [tex]y < 6[/tex]
So, we have the interval to be: [tex](4,\infty)[/tex]
For [tex]y < 0[/tex] say [tex]y = -1[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]
[tex]\frac{dy}{dt} = 35[/tex]
This is false
Say [tex]y = 2[/tex] i.e [tex]y > 0[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 2^4 - 10*2^3 + 24*2^2[/tex]
[tex]\frac{dy}{dt} = 32[/tex]
This is also false
So, the intervals are: [tex](4,\infty)[/tex] and [tex](\infty,6)[/tex].
This can be merged as: [tex](4,6)[/tex]
Hence, the interval for [tex]\frac{dy}{dt} < 0[/tex] is [tex](4,6)[/tex]
Shaquira's monthly income is $2,500. Her monthly budget is represented by the circle graph. Monthly Budget Utilities 18% Entertainment 9% Rent 51% Gasoline 7% Food 15% Which part of Shaquira's budget is equal to $175?
Answer:
Gasoline 7%
Step-by-step explanation:
2500 * 0,07 = 175
Number * 0, percent = answer
Gasoline is the part of Shaquira's budget which is $175.
What is Percentage?In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
As per the given data:
Shaquira's monthly income = $2,500
Monthly Budget Utilities = 18% of income
Entertainment = 9% of income
Rent = 51% of income
Gasoline = 7% of income
Food = 15% of income
To find which part is $175 let's calculate all parts:
Monthly Budget Utilities = (18/100) × 2,500 = $450
Entertainment = 9% × 2,500 = $225
Rent = 51% × 2,500 = $1275
Gasoline = 7% × 2,500 = $175
Food = 15% × 2,500 = $375
Hence, gasoline is the part of Shaquira's budget which is $175.
To learn more on Percentage, click:
brainly.com/question/626448
#SPJ2
u - 6.46 = 4.42
u = _
Answer:
u = 10.88
Step-by-step explanation:
u - 6.46 = 4.42
u - 6.46 + 6.46 = 4.42 + 6.46
u = 10.88
PLEASE HURRY! FIRST PERSON GETS BRAINLIST!!!!!!
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.
The independent variable is ____.
A. Number of friends (f)
B. Cost of party (c)
Answer:
B
Step-by-step explanation:
−8≤2/5(k−2) negative 8 is greater than/equal to 2/ fifths (k minus 2)
Answer:60
Step-by-step explanation:
Question
Sam sells orange juice by the glass and each glass contains 250 milliliters of orange juice. Sam has 10
cartons that each contain 3.5 liters of orange juice. What is the greatest number of glasses of orange juice
that Sam can sell? (1 liter = 1,000 milliliters)
Answer:
14 glasses
Step-by-step explanation:
3.5 (liters) times 10 (cartons) = 35 (liters)
(1 liter = 1,000 milliliters)
(35 liters = 3,500 milliliters)
3,500 (liters) divided by 250 (milliliters) = 14 glasses
The greatest number of glasses of orange juice that Sam can sell will be 140 glass.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Sam sells orange juice by the glass, and each glass contains 250 milliliters of orange juice.
Sam has 10 cartons that each contain 3.5 liters of orange juice.
Then the total amount of orange juice will be
Total amount = 10 x 3.5
Total amount = 35 liters
We know that one liter is equal to 1000 milliliters.
Then the total amount of the orange juice in milliliters will be
Total amount = 35 x 1000
Total amount = 35,000 milliliters
Then the greatest number of glasses of orange juice that Sam can sell will be
Total number of glass = 35,000 / 250
Total number of glass = 140 glass
The greatest number of glasses of orange juice that Sam can sell will be 140 glass.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
PLEASE HELp ME U GET ALOT OF POINTS 97points
circumference and Area of circles
7. Demi measured the wheels on her brother's wagon. The diameter of each
wheel is 15 inches. To the nearest inch, how far will the wagon travel each
time the wheels make a complete turn?
8.The radius of circle A is 6 ft. The diameter of circle B is 6 ft. To the nearest
foot, how much greater is the circumference of circle A as compared to the circumference of circle B?
9. The larger circle in the design at the right has a radius of 40 in.
What is the area of the shaded part of the design?
30 in.
10. Max knows that the circumference of a circular pool is 12 ft.
He estimates that the diameter of the pool is between 3 ft and 4 ft. Is this reasonable? Explain.
Answer:
#7
C = πd = 3.14*15 in = 47 in (rounded)#8
C₁ = 2πr = 2*3..14*6 ft = 37.68 ftC₂ = πd = 3.14*6 ft = 18.84 ftThe difference:
C₁ - C₂ = 37.68 - 18.84 = 19 ft (rounded)#9
No picture attached#10
C = 12 ftd = C/πd = 12/3.14 = 3.82 ft3 ft < 3.82 ft < 4 ftMax is right
David invests $7000 in two different accounts. The first account paid 2 %, the second account paid 5
% in interest. At the end of the first year he had earned $182 in interest. How much was in each
account?
Answer:
3,990
Step-by-step explanation:
Two miners are trying to push a stationary mine cart filled with gold. Miner A is exerting 25 N while miner B is exerting 20 N. However it is observed that the mine cart remained stationary despite their push. How much force does the road exert on the wheel of the cart?
a. 25 N
b. 45 N
c. Less than
45 N d. More than 25 N
Answer:
b. 45 N
Step-by-step explanation:
The sum of the forces exerted by the two miners = 25 + 20
= 45 N
Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.
Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.
Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.
How can I get the answer for c
Multiply. Express your answer in simplest form.
11 × 4
47
44
47
44
Answer:
44
Step-by-step explanation:
because 11x4 is 44...
The measure of angle ABC is 84, find the measure of angle ADC.
Answer:
Step-by-step explanation:
uhhh i think so its 84 is abc but adc is missing try 48 i dont know but i try
What is the height of the tree?
Answer:
24 feet tall
Step-by-step explanation:
First you divide 6 by 10 and then you get 0.6, you then multiply 0.6 by 40 and you get 24.
You moved 7 units left, 8 units up, and ended at point W
Where did you begin?
OA) (1.8)
OB) (9.1)
OC) (81)
OD) (9.8)
Please help me I’m tired
Answer:
C. (8,1)
Step-by-step explanation:
ryan rides his bicycle 5 miles in 3/4 hour. how many miles can he ride at the same rate in 1 hour? (in fractions)
Answer:
20/3
Step-by-step explanation:
If Ryan rides his bike 5 miles in 3/4 of an hour, then he rides 5/3 miles in 1/4 of a hour (divide both by 3). To get to a full hour from 1/4, you need to multiply it by 4. You must do the same for 5/3. 5/3*4 is equal to 20/3.
Find the perimeter of the polygon.
solve the system by substitution......
Answer:
(4,8) is the answer.
Step-by-step explanation:
To solve by substitution, you need to isolate a variable. The bottom equation already has y isolated, so we can just plug that into the other equation:
[tex]2x=-2x+16[/tex]
Add [tex]2x[/tex] to both sides in order to get rid of the [tex]-2x[/tex] on the right side:
[tex]4x=16[/tex]
Now divide by 4 on both sides to get:
[tex]x=4[/tex]
That gives us our x. Now plug in that x into either equation. I will just choose the bottom equation:
[tex]y=2(4)\\y=8[/tex]
Therefore the solution to this problem is (4,8).
I need help PLEASE!!!
9514 1404 393
Answer:
y = -4/3x +23/2
Step-by-step explanation:
The tangent of interest is perpendicular to the radius at the given point on the circle. To find the perpendicular, it helps to know the slope of the radius segment. To find that, we need the center of the circle.
The center of the circle can be found by completing the square for each variable.
(x^2 -2x) +(y^2 +4y) = 20
(x^2 -2x +1) +(y^2 +4y +4) = 20 +1 +4
(x -1)^2 +(y +2)^2 = 25
Comparing this equation to the standard form equation for a circle, we can find the center.
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle of radius r centered at (h, k)
The center of circle P is (1, -2).
__
The slope m' of the line segment between (1, -2) and (5, 1) is given by ...
m' = (y2 -y1)/(x2 -x1)
m' = (1 -(-2))/(5 -1) = 3/4
The slope m of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/m' = -1/(3/4) = -4/3
The y-intercept of the desired line can be found from ...
b = y -mx . . . . . . . for m=-4/3 and (x, y) = (5, 1)
b = 1 -(-4/3)(5) = 23/3
Then the equation of tangent line AB is ...
y = mx +b
y = -4/3x +23/3
Pls help me solve this
MUST HELP!!!! (+50 POINTS +BRANILEST +5 STARS +THANKS ON PROFILE)
Answer:
Personification is your answer.
Hope it helps!!!
PLEASE HELP!!!!!!!!!!! Yelena has a toy in the shape of a cube. Each side of the cube measures 7 cm. What is the volume of the toy?
Answer:
7³ = 343
Step-by-step explanation:
a cube is equilateral
What is the range of the function on the graph?
Range is the output values which are the y values.
The dot is at y = 2 and the line moves upward to the right off the graph. This means the line will continue to infinity.
The range would be 2 to infinity.
(2, infinity)
The cost of an item is $75. What will the total cost be with 9% tax?
Answer:
81.75
Step-by-step explanation:
75*1.09 = 81.75
Answer:$81.75
Step-by-step explanation:
9% of 75 is 6.15, add that to 75 and the answer is 81.75
16. Find the slope and y-intercept of y - y° = m(x – x°) where x° and y°
are constants.
Step-by-step explanation:
Slope = m
y - y° = m(x - x°)
m(x - x°) = y - y°
m = (y - y°)/(x - x°)
y intercept x = 0
... and I don't know :")