Simplify:
4(4y-7y^{2})-9(5y+2)

It's not a typo that both answers are 24

======================================================

Explanation:

Each time the weight goes up by 1 ounce, the cost goes up by 24 cents. So the unit cost is 24 cents per ounce. This is exactly the slope of the line because the slope is the rate of change. It tells us how fast something is changing.

You can use the slope formula to answer this question, but I think it's easier to simply locate the point (1,24) and then note that slope = rise/run = y/x = 24/1 = 24. This shortcut only works because the line goes through the origin.

The equation of this line is y = 24x

x = number of ounces

y = cost in cents

Step-by-step explanation:both are 24

Answer:

7,8

Step-by-step explanation:

Distance Formula:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Calculate Distance

To calculate the distance between 2 points, (X1, Y1) and (X2, Y2), for example, (5, 6) and (-7,11), we plug our values into the distance formula:

d=(−7−5)2+(11−6)2−−−−−−−−−−−−−−−−−√

combining terms inside parentheses we get:

d=(−12)2+(5)2−−−−−−−−−−−√

squaring both terms we get,

d=144+25−−−−−−−√

adding the 2 results,

d=169−−−√

finally,

d=13

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

The nth term of the sequence can be expressed as: \(1 / (n^2)\)

The given sequence is: 1, 2, 1/3, 1/7, 1/25, 1/121, ...

To find an expression for the nth term of this sequence, we can observe that each term is the reciprocal of a specific pattern of numbers: 1, 2, 3, 4, 5, 6, ...

Notice that the numerator of each term follows a pattern of increasing consecutive positive integers: 1, 2, 3, 4, 5, 6, ...

The denominator of each term follows a pattern of perfect squares: \(1^2, 2^2, 3^2, 4^2, 5^2, 6^2, ...\)

Therefore, the nth term of the sequence can be expressed as:

\(1 / (n^2)\)

So, the expression for the nth term of the sequence is \(1 / (n^2)\). This formula will work for n = 1, 2, 3, and so on.

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The current world population right now is over 8 billion.

Answer:

go to y= and type in the equation then  press 2nd trace  and then press  2 on the left side of the parabola find a point to the left of the x intercept and press enter then find a point to the right of the x intercept  and press enter. then press enter when it ask you to guess  and you have your answer

Step-by-step explanation:

Answer:

110 ft  

Step-by-step explanation:

The length of fencing is four times the perimeter of one garden.

The formula for the perimeter of a rectangle is  

P = 2l + 2w

The total perimeter for all four rectangles is

P = 4× (2l + 2w) = 8l + 8w

Data:

 l = 9¼ ft

w = 4½ ft

Calculation:

P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft

The total length of fencing is 110 ft.

Answer:

angle 4 is 47 degrees....

The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.

Out of the 10 options on the menu, 7 are sandwiches.

Then the fraction of options in the menu that are sandwiches is:

7/10

But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:

7*10/10*10 = 70/100

This is the fraction we wanted.

Now, we want it as a decimal, this will be:

70/100 = 0.7

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The measure of angle GFD of the circumscribed circle is; A: 40°

From the figure, we can apply the arc angles summation formula to get;

Major angle ∠FED + Minor angle ∠FED = 360°

We are given that Major arc FD measures 280°. Thus;

280° + Minor angle ∠FED = 360°

Minor angle ∠FED = 360° - 280°

Minor angle ∠FED = 80°

Also, we know that;

∠FED + ∠FGD = 180°

Thus, putting ∠FED = 80° gives us;

80° + ∠FGD = 180°

Subtract 80° from both sides using subtraction property of equality to get;

∠FGD = 180° - 80°

∠FGD = 100°

Now, GF and GD are the tangents to the circle from the same point G. Thus, we can say that;

GD = GF

Therefore,

∠FDG = ∠GFD = x

(This is because ∠FDG and ∠GFD are the angles opposite to equal sides.

In triangle FGD, we have sum of interior angles = 180°

Therefore, we have the expression;

∠FDG + ∠FGD + ∠GFD = 180° (due to the fact that sum of angles in a triangle is equal to 180°)

x + 100° + x = 180°

2x = 180° - 100°

2x = 80°

x = 40°

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Answer:

40

Step-by-step explanation:

I did a thing and it worked

Answer:

-4

Step-by-step explanation:

(-18)+(-2)/(7)+(-2)

Add -18 and -2 to get -20.

-20/(7)+(-2)

Add 7 and -2 to get 5.

-20/5

-4

Hope this helps.

The grams of zinc the jar of chemical contain is 128 grams

In a certain​ chemical, the ratio of zinc to copper is 4 to 15 .

Therefore, a jar of the chemical contains 480 grams of copper.

The grams of zinc in the jar as follows:

Hence,

ratio of zinc to copper = 4 : 15

Therefore,

let

x = total grams in jar

Hence,

480 = 15 / 19 x

15x = 480 × 19

15x = 9120

x = 9120 / 15

x = 608

Therefore,

amount of zinc = 4 / 19 × 608

amount of zinc = 2432 / 19

amount of zinc = 128 grams

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Answer:

a

Step-by-step explanation:

the two lines intercept at 1,-2

Answer: it is b(4,2)

Step-by-step explanation: nice

Answer:

Step-by-step explanation:

R=Q

P=2Q+R/R

P=2R+R/R

P=3R/R

P=3

Answer:

f(- 2) = 5

Step-by-step explanation:

f(- 2) with x = - 2 in the interval x < 2, then f(x) = 3 - x , that is

f(- 2) = 3 - (- 2) = 3 + 2 = 5

Answer:

4 creo q es 4 sino pues nimodo

Answer:

y = -8/3x + 33

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 1 / 9 -12

8 / -3

= -8/3

y = -8/3x + b

1 = -8/3(12) + b

1 = -32 + b

33 = b

Using the empirical rule, for normal distribution is 68 % of his commutes will be between 23.5 and 32.5 minutes

The normal distribution is a probability distribution used to calculate probability for continuous variables.

Now, since gabriel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes, we need to find the percentage of his commutes will be between 23.5 and 32.5 minutes using the empirical rule.

First, we need to find how many standard deviations away from the mean each value is using the z-score

Z = (x - μ)/σ where

For x = 23.5, we have

Z = (x - μ)/σ

Z = (23.5 - 28)/4.5

Z = -4.5/4.5

Z = -1

Z = -1σ

Also, for x = 32.5, we have

Z = (x - μ)/σ

Z = (32.5 - 28)/4.5

Z = 4.5/4.5

Z = 1

Z = 1σ

So, we have that -1σ ≤ (x - μ) ≤ 1σ

So, the values between 23.5 and 32.5 minutes lie within one standard deviation.

Using the empirical rule, this is 68 % of the values.

So, 68 % of his commutes will be between 23.5 and 32.5 minutes

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For this problem, we use the formula for the distance between two points:

Substituting the given points, setting the distance equal to 2√41, and solving for k we get:

Answer:

42

Step-by-step explanation:

758 divided by 18 is 42.1 I just rounded down to 42

Answer:

42 pieces

Step-by-step explanation:

758/18 = 42.1 repeating

42 is the maximum amount of pieces

Answer:

35% of 480 = 168

Step-by-step explanation:

35/100 * 480

     = 168

Step-by-step explanation:

In a parallelogram, opposite sides are equal and parallel. Therefore,

QT = PS = 3y ...(1)

PT + TR = PS

y + 2x + 1 = 3x + 9

2x - y = 4 .....(2)

PR = QT = 3y

PR = SQ = 3x + 9 ....(3)

From equations (1) and (3), we can see that:

3y = 3x + 9

y = x + 3

Substitute this value of y in equation (2):

2x - (x + 3) = 4

x = 7

To find the value of y, we can substitute x = 7 in equation (2):

2(7) - y = 4

y = 10

Therefore, x = 7 and y = 10.

The given series, ∑n=1[infinity] 1n(n 1)(n 2), can be evaluated by finding constants a, b, and c such that 1n(n 1)(n 2) can be expressed as an + bn-1 + cn-2.

By expanding 1n(n 1)(n 2) as an + bn-1 + cn-2, we can compare the coefficients of each term. From the given expression, we can deduce that a = 1, b = -3, and c = 2.

Using these constants, we can rewrite 1n(n 1)(n 2) as n - 3n-1 + 2n-2. Now, we can rewrite the original series as ∑n=1[infinity] (n - 3n-1 + 2n-2)

To evaluate this series, we can separate each term and evaluate them individually. The first term, n, represents the sum of natural numbers, which is well-known to be n(n+1)/2. The second term, -3n-1, can be rewritten as -3/n. The third term, 2n-2, can be rewritten as 2/n^2.

By summing these individual terms, we obtain the final answer for the series.

In summary, the given series can be evaluated by finding constants a, b, and c and rewriting the series in terms of these constants. By expanding the series and simplifying it, we can evaluate each term separately. The resulting answer will be the sum of these individual terms.

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The given data is in the format y=mx+b, where x is years since 2002 and y is the value of the home in thousands of dollars. The given data is the value of the house over the years.

a) What is the slope of the line? What does that number mean? The given data is in the format of a straight line y=mx+b. So, the slope of the line is m. The slope of the line is the change in y-coordinate or the rise over the change in the x-coordinate or run. Mathematically, it is the difference in the y-values divided by the difference in the x-values.The slope of the line in the given problem is -2.1, and it represents the rate of change of the value of the home per year, which is a decrease of $2100 per year.

b) What is the equation for the line?y = mx+bThe value of m is given, which is -2.1, and b is the initial value of the home. So, the equation of the line is: y = -2.1x + b. We can find the value of b from the given data by substituting any year's value in the equation. Let's say when x = 0, the value of the home is $185,000, then we have: 185 = -2.1(0) + b b = 185. Therefore, the equation of the line is: y = -2.1x + 185.

c) Predict the value of the home in 2020.When x = 18 (2020 is 18 years from 2002), y = -2.1(18) + 185 y = 148.8. The value of the home in 2020 is $148,800.

d) During what year will the value of the home reach $161,000?We need to find the value of x when y = 161. y = -2.1x + 185 161 = -2.1x + 185 -24 = -2.1x x = 11.43. The value of x when the value of the home reaches $161,000 is in year 2013.

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Answer:

If each student sold 6 candy bars and each candy bar is 3 bucks, then 3*6 is 18, so that means each student sold 18 dollars worth of candy bars,

Step-by-step explanation:

24* 18 = 432

432 * 0.25 = 108

They get to keep 108 dollars.

Answer:

24.4 cm

Step-by-step explanation:

2.

s = 6.1 cm

P = 4s = 4(6.1 cm) = 24.4 cm

Answer: 24.4 cm

Answer:

ƒ(6) = − 50

Step-by-step explanation:

ƒ(x) = − x² – 14, Find f(6)

ƒ(6) = − 6² – 14

ƒ(6) = − 36 – 14

ƒ(6) = − 50

Answer:

the answer is 956.44

Step-by-step explanation: