Answer:
2x + 200 = 6x + 120
Step-by-step explanation:
Super-Clean house cleaning company: 2x + 200
Power Bright: 6x + 120
Now, they have to be equal because we are trying to find the equation for total charges.
So, your equation would be 2x + 200 = 6x + 120.
Hope this helps!
Answer:
Step-by-step explanation:
Let the number of linear feet = x
Let the total cost = y
Condition One
y = 200 + 2x
Condition Two
y = 120 + 6x
Now you want the ys to be the same.
200 + 2x = 120 + 6x
I need to know this ASAP. I will give you 25 Points and a brainly crown thing.
Answer:
The answer is C.
Step-by-step explanation:
find the volume of the solid w in the octant x ≥ 0, y ≥ 0, z ≥ 0 bounded by x y z = 2 and x y 9z = 2.
The only energy released as a result is equal to two ATP molecules. Organisms can turn glucose into carbon dioxide when oxygen is present. As much as 38 ATP molecules' worth of energy is released as a result.
Why do aerobic processes generate more ATP?
Anaerobic respiration is less effective than aerobic respiration and takes much longer to create ATP. This is so because the chemical processes that produce ATP make excellent use of oxygen as an electron acceptor.
How much ATP is utilized during aerobic exercise?
As a result, only energy equal to two Molecules of ATP is released. When oxygen is present, organisms can convert glucose to carbon dioxide. The outcome is the release of energy equivalent to up of 38 ATP molecules. Therefore, compared to anaerobic respiration, aerobic respiration produces a large amount more energy.
To know more about molecules visit:
brainly.com/question/28931982
#SPJ1
four more than the product of a number and seven is the product of the number and 10
Answer:
4/3
Step-by-step explanation:
7x + 4 = 10x
4 = 3x
x = 4/3
Examine the equation. –3x + 18 = 7x What could you do to isolate the variable term to one side of the equation? Add 3x to both sides. Subtract 3x from both sides. Add 18 to both sides. Subtract 18 from both sides.
Answer:
You would add 3x to both sides. Then divide by 10 on both sides.
What to do to isolate the variable term to one side of the equation is to add 3x to both side
Given the equation, -3x + 18 = 7x, we need to isolate the variable term. To do that, we will follow the steps below;
Add 3x to both sides of the equation to have;
-3x + 18 + 3x = 7x + 3x
18 = 7x + 3x
Swap sides
7x + 3x = 18
10x = 18
Divide both sides by 10
10x/10 = 18/10
x = 1.8
From the steps above, what to do to isolate the variable term to one side of the equation is to add 3x to both side
Learn more here: https://brainly.com/question/14107099
Write the expression as a number in scientific notation. quantity 8 times 10 squared end quantity times quantity 3.2 times 10 to the fifth power end quantity all divided by quantity 4 times 10 cubed 7.2 x 107 7.2 x 104 6.4 x 107 6.4 x 104
Scientific notation exists as a method of writing very large or very small numbers. The expression as a number in scientific notation is 6.4 × \($$10^4\).
What is meant by scientific notation?Utilizing scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation.
To express exceedingly high numbers in a shorter manner, scientists have created a shorthand. Scientific notation is the name of this technique. The foundation of scientific notation is the base-10 powers. The coefficient is defined as the initial number, 1.23.
Given: (8 ×10²) × (3.2 ×\($$10^5\))/4 × 10³
simplifying the above equation, we get
= 800 × 320000/4000
= 64000
= 6.4 × \($$10^4\)
Therefore, the expression as a number in scientific notation is 6.4 × \($$10^4\).
To learn more about scientific notation, refer to:
https://brainly.com/question/1767229
#SPJ4
Answer:
6.4 x 10^4
Step-by-step explanation:
Guyss please help me with this question. I tried a thousand times but it's still incorrect.
Answer: \(17.68cm\)
Step-by-step explanation:
Using the area formula of a cone, find the height first.
\(A=\pi r(r+\sqrt{h^2+r^2})\)
Solve for h,
Begin by dividing by \(\pi r\)
\(\frac{A}{\pi r}=r+\sqrt{h^2+r^2}\)
Subtract r.
\(\frac{A}{\pi r}-r=\sqrt{h^2+r^2}\)
Square both sides.
\((\frac{A}{\pi r}-r)^2=(\sqrt{h^2+r^2})^2\)
\((\frac{A}{\pi r}-r)^2=h^2+r^2\)
Subtract \(r^2\)
\((\frac{A}{\pi r}-r)^2-r^2=h^2\)
Extract the square root.
\(\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =\sqrt{h^2}\)
\(\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =h\)
Plug in your values.
\(\sqrt{[\frac{670cm^2}{(3.14)(8cm)}-(8cm)]^2-(8cm)^2 } =h\)
Solve;
\(\sqrt{[\frac{670cm^2}{25.12cm}-(8cm)]^2-(8cm)^2 } =h\)
\(\sqrt{[26.67cm-(8cm)]^2-(8cm)^2 } =h\)
\(\sqrt{(18.67cm)^2-(8cm)^2 } =h\)
\(\sqrt{348.57cm^2-64cm^2}=h\)
\(\sqrt{284.57cm^2}=h\)
\(15.77cm=h\)
------------------------------------------------------------------
Now, to find the slant height use this formula: \(l=\sqrt{h^2+r^2}\)
\(l=\sqrt{(15.77cm)^2+(8cm)^2}\\l=\sqrt{248.69cm^2+64cm^2}\\ l=\sqrt{312.69cm^2}\\ l=17.68cm\)
This scatterplot shows data from Jillian's car trip.
Which equation best fits the data?
The linear function that best fits the data is given as follows:
y = 60x.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses tbe y-axis.When x = 0, y = 0, hence the intercept b of the line is given as follows:
b = 0.
When x increases by 5, y increases by 300, hence the slope m of the line is given as follows:
m = 300/5
m = 60.
Hence the equation is:
y = 60x.
Missing InformationThe points on the scatter plot are given as follows:
(0,0) and (5,300).
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
A circle with a random radius R ? Uniform(0, 1) is generated. Let A be its area. Find the mean and variance of A.
The mean and variance of the area A of a circle with a random radius R, uniformly distributed between 0 and 1, can be calculated using mathematical formulas. The mean of A is π/4, and the variance of A is (π^2 - 4)/16.
The area A of a circle is given by the formula A = π * R^2, where R is the radius. Since the radius R is uniformly distributed between 0 and 1, we can express the probability density function (PDF) of R as f(R) = 1 for 0 ≤ R ≤ 1, and f(R) = 0 elsewhere.
To find the mean of A, we need to calculate the expected value of A, denoted as E[A]. Using the formula for expected value, we have E[A] = ∫(A * f(R)) dR = ∫(π * R^2) dR from 0 to 1. Solving this integral gives E[A] = π/4.
To find the variance of A, we need to calculate E[A^2] first. Using the formula for expected value, we have E[A^2] = ∫(A^2 * f(R)) dR = ∫(π^2 * R^4) dR from 0 to 1. Solving this integral gives E[A^2] = π^2/5.
The variance of A can be calculated as Var[A] = E[A^2] - (E[A])^2 = π^2/5 - (π/4)^2 = (π^2 - 4)/16.
Therefore, the mean of A is π/4, and the variance of A is (π^2 - 4)/16 for a circle with a random radius R uniformly distributed between 0 and 1.
Learn more about circle here:
https://brainly.com/question/12930236
#SPJ11
WILL GIVE BRAINLIEST
Write an equation in slope-intercept form with the given slope and y-intercept
IMAGE BELOW
Answer: slope: 1/4
y-intercept: 0,3
Step-by-step explanation:
let = 2 → 2 be a linear transformation such that (1, 2) = (1 2, 41 52). find x such that () = (3,8).
To solve for x in the given equation, we need to use the matrix representation of the linear transformation.
Let A be the matrix that represents the linear transformation 2 → 2. Since we know that (1, 2) is mapped to (1 2, 41 52), we can write:
A * (1, 2) = (1 2, 41 52)
Expanding the matrix multiplication, we get:
[ a b ] [ 1 ] = [ 1 ]
[ c d ] [ 2 ] [ 41 ]
[ 52 ]
This gives us the following system of equations:
a + 2b = 1
c + 2d = 41
a + 2c = 2
b + 2d = 52
Solving this system of equations, we get:
a = -39/2
b = 40
c = 41/2
d = 5
Now, we can use the matrix A to find the image of (3,8) under the linear transformation:
A * (3,8) = [ -39/2 40 ] [ 3 ] = [ -27 ]
[ 41/2 5 ] [ 8 ] [ 206 ]
Therefore, x = (-27, 206).
Learn more about matrix multiplication: https://brainly.com/question/11989522
#SPJ11
1.75-m-long wire having a mass of 0.100 kg is fixed at both ends. the tension in the wire is maintained at 21.0 n. (a) what are the frequencies of the first three allowed modes of vibration?
The frequencies of the first three allowed modes of vibration are 4.14 Hz, 8.29 Hz, and 12.43 Hz, respectively.
The given problem can be solved using the formula given below; f_n = (n*v)/(2L), where; f_n - frequency v - velocity of the wave L - length of the wire, n - mode number.
Part a: Given; Length of the wire, L = 1.75 m, Mass of the wire, m = 0.100 kg. Tension in the wire, T = 21.0 N`.
To find the frequency of the wire for the first three allowed modes of vibration, we need to calculate the velocity of the wave, v.
We can use the following formula to calculate the velocity of the wave; v = √(T/m), where; T - tension in the wire, m - mass of the wire.
Substituting the given values, v = √(21.0 N / 0.100 kg) = √(210) = 14.5 m/s.
The frequencies of the first three allowed modes of vibration can be found by substituting the values in the given formula.
For n = 1, `f_1 = (1*14.5)/(2*1.75) = 4.14 Hz.
For n = 2,`f_2 = (2*14.5)/(2*1.75) = 8.29 Hz
For n = 3,`f_3 = (3*14.5)/(2*1.75) = 12.43 Hz.
To know more about velocity, visit:
https://brainly.com/question/18084516
#SPJ11
Find the value of c that makes the trinomial a perfect square. .
x² – 24x7c
Answer:
144
Step-by-step explanation:
The equation to find c is:
\((\frac{b}{2} )^{2}\)
So put -24 into b:
\((\frac{-24}{2} )^{2}\)
Which simplifies to:
144
So if you want to test this:
x^2 - 24x + 144
is
(x-12)^2
Charlotte bought 18 songs for her MP3 player. Three-thirds of the songs are classical songs. How many of the songs are classical songs?
Answer:
three thirds is one whole
Step-by-step explanation:
The answer is 18 because three thirds is one whole which in this case is 18! Have a nice day!
A train arrived at the station. If you count cars starting from the first one, the dining car is th 7th in the row. If you count cars starting from the last one, then the dining car is the 8th in a row. How many cars are there in this train?
Answer:
15
Step-by-step explanation:
from the first then it is 0+7=7
and from the last it is 0+8=8
then the number of cars available in the station is 8+7=15
A random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important. The interval that is 95% certain to contain the proportion of all 18-24 year olds who believe that their health is extremely important is
Between 48% and 54% believe that their health is extremely important.
According to the statement
Given that a random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important.
Here
Sample size n =1001
sample proportion p = 0.51
By these values we calculate the Standard error of proportion.
So, Standard error of proportion = 0.0158.
Since sample size is sufficiently large we can take Z critical value for confidence interval
Z critical value for 95% = 1.96
Margin of error = ±1.96*std error
= ±0.0310
confidence interval = 0.51 ±0.0310
= (0.48, 0.54)
So, Between 48% and 54% believe that their health is extremely important.
Learn more about PROPORTION here https://brainly.com/question/870035
#SPJ4
A man left town M at 10:00a.m. and travelled by car to town N at an average speed of 72km/h. He spent 2hours for a meeting and returned to town M by bus at an average speed of 40km/h. If the distance covered by the bus was 2km longer than that of the car and he arrived at town M at 1:55pm. Calculate the distance from M to N.
Distance from M to N = 48.24 km
The car speed = 72 km/h
Time spent by the car = t
Time spent for the meeting = 2 hours
Total time spent since the man left town M till when he returns = 1:55pm - 10:00am = 3 hrs 55 minutes = 3.92 hours
Distance from M to N = Speed of the car * Time spent by car
Distance from M to N = 72 x t
Distance from M to N = 72 t
The man traveled by bus back to town M from town N
If the distance from N to M is 2 km longer than the distance from M to N, it means the car and the bus passed through different routes
Distance from N to M = (Distance from M to N) + 2..................(*)
Time taken by the bus = (Total time) - (Time taken by car) - (Time spent for the meeting)
Time taken by the bus = 3.92 - t - 2
Time taken by the bus = 1.92 - t
Distance from N to M = Speed of the bus x Time taken by the bus
Distance from N to M = 40 x (1.92 - t)...................(**)
Substitute (*) into (**)
(Distance from M to N) + 2 = 40 x (1.92 - t)
72t + 2 = 40(1.92 - t)
72t + 2 = 76.8 - 40t
72t + 40t = 76.8 - 2
112t = 74.8
t = 74.8/112
t = 0.67 hours
Distance from M to N = 72t
Distance from M to N = 72(0.67)
Distance from M to N = 48.24 km
Learn more here: https://brainly.com/question/19915685
The pizza shop offers a 15 percent discount for veterans and senior citizens. An employee uses the calculations shown to figure out how to charge a senior citizen for a $12 pizza. What is the employee’s error?(100% − Discount %)(Original Amount) = Discounted Amount(100% − 85%)($12) = Discounted Amount(15%)($12) = Discounted Amount(0.15)($12) = $1.80The discounted price of pizza is $1.80.
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
You opened a checking account with $250 and have been spending $35 every week. How much will
you have your account after 6 weeks?
$35
$40
$210
$75
Answer:
$35
Step-by-step explanation:
multiply 35 by the number of weeks (6) to get $210, subtract $210 from $250 to get $35
Find the area of this figure
Step-by-step explanation:
well, I see one large rectangle (20×6), and 2 small triangles with their horizontal sides being (20-8-6)/2 = 3 m. and their vertical joined side being 10-6 = 4 m.
the total area is simply the sum of the rectangle and the 2 triangles.
the rectangle is
20×6 = 120 m²
each triangle is
4×3/2 = 2×3 = 6 m²
we have 2 of them, so their combined area is 2×6 = 12 m².
the total area is
120 + 12 = 132 m²
what is the verbal expression for 6f^2+5f
Answer:
f = 5/6 = 0.833 or f = 0
Step-by-step explanation:
a. What is the profit-maximizing level of output and price?
b. What is the amount of total profit?
(Use the table below.)
Quantity (units) Price(dollars) Total revenue(dollars) Marginal revenue(dollars) Total cost Marginal cost(dollars)
1 22 6 6
2 20 14 8
3 18 26 12
4 16 44 18
5 14 72 28
6 12 112 40
7 10 166 54
8 8 236 70
Profit maximization:
When a firm, given the available resources, is able to generate an optimal level of profit, the action is referred to as profit maximization. The point of profit maximization for firms is the quantity that equalizes the marginal cost and marginal revenue.
Answer:
Step-by-step explanation:
10
T Raiderlink Bb Blackboard SPC Blackboard TTU -/1 Points] DETAILS HARMATHAP12 9.4.011. Find the derivative of the function. w = 2? - 326 + 14 w= 1-/1 Points) DETAILS HARMATHAP12 9.4.014.MI. Find the derivative of the function. +(x) = 16x12 + 6x6 - 2x + 19x - 7 h'(x) = [-/1 Points] DETAILS HARMATHAP12 9.5.002.MI. Find the derivative and simplify. y = (8x + 5)(x2 – 3x).
The derivative of the function is
A) dw/dz=z^5 (7z-18)
B) dh/dx=192x^11+36x^5-6x^2+19
C) dy/dx=24x^2-38x-15
In mathematics, the derivative of a function measures the sensitivity to change of the function value with respect to a change in its argument. It is the rate of change of a function with respect to a variable.
A) w = z^7 – 3z^6 + 14
dw/dz=7z^6-18z^5
dw/dz=z^5 (7z-18)
B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7
dh/dx=192x^11+36x^5-6x^2+19
C) y = (8x + 5)(x^2 – 3x)
dy/dx= d/dx [8x+5]*〖(x〗^2-3x)+(8x+5)*d/dx[x^2-3x]
dy/dx=(8* d/dx [x}+d/dx[5])*〖(x〗^2-3x)+(8x+5)*(d/dx[x^2]-3 d/dx[x])
dy/dx=(8*1+0)(x^2-3x)+(8x+5)(2x-3*1)
dy/dx=8(x^2-3x)+(2x-3)(8x+5)
dy/dx=24x^2-38x-15
Note: The question is incomplete. The complete question probably is: Find the derivative of the following function: A) w = z^7 – 3z^6 + 14 B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7 C) y = (8x + 5)(x^2 – 3x).
Learn more about Derivative:
https://brainly.com/question/23819325
#SPJ4
Subtract. -21 - (-13)
Answer:
-8
Step-by-step explanation:
-21-(-13)
=-21+13
=-8 is the answer......
Answer:
\(-8\)
Step-by-step explanation:
\(-21 - (-13)\)is the same as \(-21+13\), so the answer is \(-8\).
If np >5 and nq >5, estimate P (fewer than 5) with n= 13 and P=0.6 by using the normal distribution as an approximation to the binomial distribtion; if np <5 or nq <5, then state that the normal approximation is not suitable.
A. P(fewer than 5) = _____.
(Round to four decimal places as needed)
B. The normal approximation is not suitable.
Since the given values for np and nq are not suitable for the normal approximation (np < 5 or nq < 5), we cannot estimate P(fewer than 5) using the normal approximation.
In summary, we can use the normal approximation to estimate P(fewer than 5) when np > 5 and nq > 5.
To estimate P(fewer than 5), we can use the normal approximation to the binomial distribution by considering the mean (μ) and standard deviation (σ) of the binomial distribution. For a binomial distribution with parameters n and p, the mean is given by μ = np and the standard deviation is given by σ = √(npq).
In this case, n = 13 and p = 0.6, so np = 7.8 and nq = 5.2. Since both np and nq are greater than 5, we can proceed with the normal approximation.
To estimate P(fewer than 5), we can use the cumulative distribution function (CDF) of the normal distribution with parameters μ = np and σ = √(npq). We calculate P(X < 5) using the normal distribution and round the result to four decimal places:
P(fewer than 5) = P(X < 5) ≈ Φ((5 - μ) / σ)
Calculating the z-score as (5 - μ) / σ and using the standard normal distribution table or a calculator, we can find the corresponding probability value. However, since the given values for np and nq are not suitable for the normal approximation (np < 5 or nq < 5), we cannot estimate P(fewer than 5) using the normal approximation.
To learn more about binomial distribution click here, brainly.com/question/29163389
#SPJ11
5. Which equation in point-slope form contains the points (6, 2) and (2, 4)?
O,
O
O
O
y-2=-2(x-6)
y-4=--(x-6)
y-4--2(x-2)
y-2---(x-6)
please help 9 10 ll and 12 need answers i have 1 hour to get answers please
1. The area of the circle with radius r = 4 is 200.96 square cm. 2. The area of the circle is approximately 113.04 square cm.
What is radius and diameter of the circle?A circle's radius is equal to twice its diameter. In other words, if d is the diameter and r is the radius, then d = 2r. On the other hand, a circle's radius is equal to half of its diameter. Finding the circumference or area of a circle are only two examples of computations involving circles for which this connection is crucial.
The area of the circle is given by the formula:
A = πr²
Substituting the value r = 8 we have:
Area = 3.14(8)² = 200.96 square cm
2. For circle with d = 12 cm we have the radius as:
r = 12/2 = 6
A = 3.14(6)² = 113.04 square cm
Hence, the area of the circle with radius r = 4 is 200.96 square cm. 2. The area of the circle is approximately 113.04 square cm.
Learn more about diameter here:
https://brainly.com/question/13624974
#SPJ1
The quotient of 30y³ + 50y2 - 35y divided by 5y is:____.a. 6y +10y² - 7. b. 6y² +10y + 7. c. 6y2+10y - 7. d. 6y³ +10y² - 7.
The quotient of 30y³ + 50y² - 35y divided by 5y is: 6y² +10y - 7
Hence option c is the correct answer.
Applying long division rule to find quotient,
Dividend is 30y³ + 50y² - 35y and divisor is 5y
Dividing 30y³ + 50y² - 35y by 5y step by step we get ( +) 30y^3 is divisible by 5y as the remainder is zero and the quotient is (+) 6y^2.
Then at second step we get (+) 50y^2 is divisible 5y as the remainder is zero and the quotient is (+) 10y.
And at the last step we get (-) 35y is divisible by 5y as the remainder is zero and the quotient is (-) 7.
Thus adding up the quotients found at each step of division of 30y³ + 50y² - 35y by 5y is 6y² +10y - 7.
Hence option c is the correct answer.
To know more about long division rule to find quotient here
https://brainly.com/question/29196985
#SPJ4
On a coordinate plane, 5 squares are shown. Square L M N P has points (negative 3, 1), (negative 1, 1), (negative 1, negative 1), (negative 3, negative 1). Square 1 has points (negative 6, 4), (negative 6, 6), (negative 4, 6), (negative 4, 6). Square 2 has points (negative 6, negative 4), (negative 6, negative 6), (negative 4, negative 4), (negative 4, negative 6). Square 3 has points (2, 2), (2, 4), (4, 4), (4, 2). Square 4 has points (2, negative 2), (4, negative 2), (4, negative 4), (2, negative 4).
Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of
(x, y) → (x + 5, y – 3)?
100pts
Answer:
hi baby its me nick this is my new account
Step-by-step explanation:
Use the following bond listing for Pacific Bell to answer the following: Bonds Cur. Yia. Vol Close Net. Chg. 5 6. 55 5 1 1 Pac Bell 6– 34 99- 4 8 What is the coupon rate and maturity date for this bond? 5 The coupon rate is 62, the maturity date is 2034. A. B 1 The coupon rate is 8 the maturity date is 2034. 5 The coupon rate is 6. The maturity date is 2099. D. The coupon rate is 6. 55; the maturity date is in 5 years.
The coupon rate for this Pacific Bell bond is 6%, and the maturity date is in 2034. So, the correct option is B: The coupon rate is 6%, and the maturity date is 2034.
The information provided in the bond listing can be interpreted as follows:
Bond issuer: Pacific Bell
Coupon rate: 6.55
Maturity date: 2034
Volume: 511
Closing price: 99-4
Net change: 8
Therefore, the correct answer is: The coupon rate is 6.55 and the maturity date is 2034.
learn more about "yield to maturity":- https://brainly.com/question/28033398
#SPJ11