What is the following answer the equation 275 4/5 + 20.2
and what is 275 4/5 - 20.2

Answer: 15x+7

Step-by-step explanation:

you multiply 3 by 5 and add 7

Hey there!

The Distributive Property states that

a(b+c)=ab+ac

Basically, we take a number/variable a and distribute it by multiplying it times b and c.

a, b, and c can be either constants or variables; this is just a formula.

However, this property is really useful when it comes to simplifying expressions like 3(5x+7) :)

In order to simplify this expression, we should take 3 and distribute it.

15x+21

Hope everything is clear.

Let me know if you have any questions!

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\(\boxed{Cheerful~Helper~}\)

The rate of change of total revenue is 300 dollars per day, the rate of change of cost is 40 dollars per day, and the rate of change of profit is 260 dollars per day.

To find the rate of change of total revenue, we need to take the derivative of the revenue function R(x) with respect to x and then multiply it by the rate of change of x with respect to time.

R(x) = 45x - 0.5x^2

dR/dx = 45 - x

When x = 30, dR/dx = 45 - 30 = 15

So, the rate of change of total revenue is:

dR/dt = (dR/dx) * (dx/dt) = 15 * 20 = 300 dollars per day

To find the rate of change of cost, we need to take the derivative of the cost function C(x) with respect to x and then multiply it by the rate of change of x with respect to time.

C(x) = 2x + 10

dC/dx = 2

So, the rate of change of cost is:

dC/dt = (dC/dx) * (dx/dt) = 2 * 20 = 40 dollars per day

To find the rate of change of profit, we need to subtract the rate of change of cost from the rate of change of total revenue.

dP/dt = dR/dt - dC/dt = 300 - 40 = 260 dollars per day

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Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

Answer:

2a+2b+4

Step-by-step explanation:

(2a+2b+4)+(3a+8)+(5a+b)=10a+3b+12

Answer:

The perimeter of the triangle is \(10a + 3b + 12\), while the two sides is \(3a + 8\) and \(5a + b\). To find the missing side, subtract the two known sides from the known perimeter.

\((10a + 3b + 12) - (3a + 8) - (5a+b) = 2a+2b+4\)

If we simplify this expression by taking out a factor of \(2\), the final answer is: \(2a + 2b + 4 = 2(a + b + 2)\).

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Step-by-step explanation:

See top.

Answer:

$20

Step-by-step explanation:

let x be the original cost

0.85x = 17

divide both sides by 0.85

x = 20

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50 .

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50.

1. Calculate the price of a Deluxe room for check-in on Sunday until Thursday:

$223 / 1.70 = $131.18

2. Calculate the price of a Deluxe room for check-in on Friday and Saturday:

$131.18 x 1.25 = $163.98

3. Calculate the price of a Suite room for check-in on Friday and Saturday:

$163.98 x 1.70 = $278.50

The price per night for a Suite room for check-in on Friday and Saturday would be $278.50.

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Answer:

B

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a , b ] = [ 15, 35 ]

and f(b) = f(35) = 400 ← from graph

f(a) = f(15) = 200 ← from graph

Then average rate of change is

\(\frac{400-200}{35-15}\) = \(\frac{200}{20}\) = 10 m/ s → B

Answer:

62.5%

Step-by-step explanation:

the product of the two numbers=xy

the product of the altered numbers=(0.75x)(0.5y) OR 0.375xy

finally you subtract this from one to get your decrease: 1-0.375=0.625

then simply convert that to a percent, leaving you with 62.5%. hope this helps!

Answer:

A ≈ 4298.66 in²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here diameter = 74, then r = 74 ÷ 2 = 37 , then

A = π × 37² ≈ 3.14 × 1369 ≈ 4298.66 in² ( to the nearest hundredth )

The limit lim(x→∞) x/√(x^2 + 3) is 1, and there is no need to apply L'Hospital's Rule in this case.

When trying to use L'Hospital's Rule to find the limit lim(x→∞) x/√(x^2 + 3), it is important to note that L'Hospital's Rule can only be applied if the function is continuous and differentiable. In this case, the function is continuous and differentiable, but applying L'Hospital's Rule is not necessary as the limit can be evaluated using another method.
First, let's rewrite the given function by dividing both the numerator and the denominator by x:
lim(x→∞) (x/x) / (√(x^2 + 3)/x) = lim(x→∞) 1 / √(1 + 3/x^2)
As x approaches infinity, the term 3/x^2 approaches 0, so the limit becomes:
lim(x→∞) 1 / √(1 + 0) = 1 / √(1) = 1
Therefore, the limit lim(x→∞) x/√(x^2 + 3) is 1, and there is no need to apply L'Hospital's Rule in this case.

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Answer:

r = 7

y = -2

Step-by-step explanation:

9r + 2y = 59 (Multiply this by 5)

2r + 5y = 4   (Multiply this by -2)

45r + 10y = 295

-4r - 10y = -8

41r = 287

r = 7

2r + 5y = 4

2(7) + 5y = 4

14 + 5y = 4

5y = 4 - 14

5y = -10

y = -2

The value x may be expressed as (a - b)(ab + b) / (ab - 1)(ab + 1).

To simplify the given expression x = (a² + b²) / (a b + 1), start by multiplying both the numerator and the denominator by (a b - 1) as follows:

x = (a² + b²)(a b - 1) / (a b + 1)(a b - 1)

Expanding the numerator using the distributive property:

x = (a² b - a² + a b² - b²) / (a² b - a b + a b² - 1)

Rearranging the terms in the numerator:

x = (a² b + a b² - a² - b²) / (a² b - a b + a b² - 1)

Factoring the numerator:

x = [(a² b - a b) + (a b² - b²)] / (a²b - a b + a b² - 1)

x = [a b (a - b) + b²(a - b)] / (a b - 1)(a b + 1)

x = (a - b)(a b + b) / (a b - 1)(a b + 1)

Therefore, the simplified expression for x is (a - b)(ab + b) / (ab - 1)(ab + 1).

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The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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Answer:

33

got it right no egd ngknggingwekvnskne

The model is a representation of the polynomial factors using algebraic

tiles.

The equation represented by the model is the option;

Reasons:

The parameters of the model of the polynomial and the factors of the

polynomial are;

The number of factors of the polynomial = 2

1 of the four tiles is labelled x

3 of the four tiles is labelled -ve

Therefore;

A factor of the polynomial is x-tile, -tile, -tile, -tile = (x tile - 3 tiles) = (x - 3)

1 of the two tiles is labelled x

1 of the two tiles is labelled -ve

Which gives;

A factor of the polynomial is x, -tile = (x-tile - 1 tile) = (x - 1)

The 8 tiles are as follows;

1 of the 8 tiles is labelled x²

4 of the 8 tiles are labelled -x

3 of the 8 tiles are labelled +

Which gives;

The product of the polynomial is; (x²-tile - 4·x-tiles + 3-tiles) = (x² - 4·x + 3)

Multiplying the factors gives;

(x - 3) × (x - 1) = x² - 3·x - x + 4 = x² - 4·x + 3

The correct option is therefore;

The question options are;

x² - 2·x - 3 = (x - 3)·(x + 1)

x² - 4·x + 3 = (x - 3)·(x - 1)

x² + 2·x + 3 = (x + 3)·(x - 1)

x² + 4·x - 3 = (x + 3)·(x + 1)

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We expect -4.76 more defective pumpkin seeds than bean seeds.

So we can round up to zero and conclude that we don't expect any more defective bean seeds than pumpkin seeds in the shipment.

Based on the dot plots, we can estimate the proportion of defective seeds in each sample.

To do this, we count the number of dots above the dashed line in each plot and divide by the total number of seeds in the sample.

For the bean seeds, we count a total of 7 + 2 + 3 + 3 + 1 + 1 + 2 + 0 + 1 + 1 = 21 defective seeds out of a total of 250 x 25 = 6,250 seeds.

So the estimated proportion of defective bean seeds is 21/6250 = 0.00336.

For the pumpkin seeds, we count a total of 4 + 5 + 4 + 5 + 4 + 4 + 4 + 4 + 4 + 4 = 38 defective seeds out of a total of 250 x 25 = 6,250 seeds.

So the estimated proportion of defective pumpkin seeds is 38/6250 = 0.00608.

To estimate the number of defective seeds in the shipment of 1,750 seeds of each type, we can multiply the estimated proportion of defective seeds by the total number of seeds.

For the bean seeds, we expect 0.00336 x 1750 = 5.88 defective seeds. For the pumpkin seeds, we expect 0.00608 x 1750 = 10.64 defective seeds.

Therefore, we expect 5.88 - 10.64 = -4.76 more defective pumpkin seeds than bean seeds.

However, this result doesn't make sense because we can't have negative defective seeds.

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The line which have a steeper slope is Line 1.

It is given in the question that the points on the line are given by:-

Line 1: (0,-4) and (2,2)

Line 2:(0,-4) and (4,5)

We have to find which line has a steeper slope.

First we will find the slope of each line.

We know that slope of a line with points (a,b) and (c,d) is given by:-

(d-b)/(c-a)

Slope of Line 1:

(2-(-4))/(2-0) = 6/2 = 3

Slope of Line 2:

(5-(-4))/(4-0) = 9/4 = 9/4 = 2.25

We know that greater the slope of the line means greater the steep of the line.

As,

3 > 2.25

Hence, Line 1 is steeper than Line 2.

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The solution to the inequality are the region in the shaded area and the graph is attached

From the question, we have the following parameters that can be used in our computation:

y ≥3(0.8)^x

y ≥ x² - 5

Represent properly

y ≥ 3(0.8)^x

y ≥ x² - 5

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)

None of the options represent the shaded area (see attachment)

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Answer:

2

Step-by-step explanation:

If the parent function is y = 2, then the function of the graph would also be y = 2.

The parent function represents the simplest form of a function and serves as a reference for transformations. In this case, the parent function y = 2 is a horizontal line parallel to the x-axis, passing through the y-coordinate 2. Any transformations applied to this parent function would alter its shape or position, but the function itself remains y = 2.

Answer:

b=11

Step-by-step explanation:

Based on the graph, the following statements are true:

A. The domain is the set of all real numbers.

D. The range is the set of all real numbers greater than or equal to zero.

The graph demonstrates that the function will always produce a real number larger than or equal to zero regardless of the real number used as an input. The set of all real numbers constitutes the domain, whereas the set of all real numbers larger than or equal to zero constitutes the range. The other two claims are false. The range is neither the set of all real numbers, nor is the domain restricted to real numbers larger than or equal to zero.

As a result, the right responses are A and D.

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By evaluating the function in x = -4, we will get:

f(-4) = 12

Here we have the following function:

f(x) = -4 + 4*|x|

So we have an absolute value function.

We want to find f(-4), so we want to evaluate the function in x = -4, to do that, just replace the variable by that number.

We will get:

f(-4) = -4 + 4*|-4|

Remember that the absolute value of a negative number gives the opposite:

|-4| = 4

Then:

f(-4) = -4 + 4*|-4|

f(-4) = -4 + 4*4

f(-4) = -4 + 16 = 12

f(-4) = 12

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The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

The Total Population after five years will be 13,700 people

What is Compound Interest?

Compound interest is the adding of interest to the principle sum of a loan or deposit, or interest on interest plus interest. It is the outcome of reinvesting interest, or adding it to the lent capital, rather than paying it out or requesting payment from the borrower, so that interest is received on the principle sum plus previously accrued interest in the next month. In finance and economics, compound interest is the norm.

Solution:

To solve the problem mentioned we need to use the concept of compound interest:

Principal = 10,000

Annual Growth Rate = 6.5%

Time = 5 years

Amount = Principal * ((100+Rate)/100)^Time

Total Population after 5 years = 10,000 * (106.5/100)^5

= 10,000 * (1.065)^5

= 10,000 * 1.37008

= 13,700

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Answer

bruh where's the explanation

Step-by-step explanation:

The correct answer is x = -1 and the remainder of the division is -22.

Kayla proceeds to the correct answer by using the remainder theorem which states that if a polynomial f(x) is divided by x-a, then the remainder is equal to f(a). In this case, Kayla evaluates the numerator of the rational expression when x = -1, since -1 is the value that makes x+1 equal to zero, which is the factor of the divisor (x+1).

Evaluating the expression, she gets a remainder of -22. Therefore, the correct answer is x = -1 and the remainder of the division is -22.

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Answer:

\(10706.55\)

Step-by-step explanation:

From this starting equation \(521*411= 2*10n\)

We can multiply both sides to simplify it:

\(214131= 20n\)

Then dividing both sides by 20, we get n:

\(\frac{214131}{20}=n = 10706.55\)