brianly: a pack of pens cost $3. Prisha spent $12 on pens. Each pack has 5 pens How many packs did Prisha buy?

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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^ not to scale

171 - 93 = 78

height of 78, width of 19.5, what is the slope

78/19.5 = 4

the last option, 4

The period of the function y = 2∕3 cos(4∕7x) + 2. is 7/2π

The function is given as:

y = 2∕3 cos(4∕7x) + 2.

The above function is a cosine function

A cosine function is represented as:

y = A cos(B(x + C)) + D

Where the period is

Period = 2π/B

By comparing the equations, we have

B = 4/7

Substitute B = 4/7 in Period = 2π/B

Period = 2π/(4/7)

Express as product

Period = 2π * 7/4

Divide 4 by 2

Period = π * 7/2

Evaluate the product

Period = 7/2π

Hence, the period of the function y = 2∕3 cos(4∕7x) + 2. is 7/2π

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The equation of the line is y = (2/3)x + 13/3 if the equation passes through (1, 5) and (-2, 3).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The linear equation can be written in form of:

y = mx + c

The points are (1, 5) and (-2, 3)

The equation of the line:

y - 3 = (3 - 5)/(-2-1)[x + 2]

y = -2/(-3)[x + 2] + 3

y = (2/3)x + 4/3 + 3

y = (2/3)x + 13/3

Thus, the equation of the line is y = (2/3)x + 13/3 if the equation passes through (1, 5) and (-2, 3).

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Answer:

56

Step-by-step explanation:

g(x)=5x+1

(gog)(2)=5(5x+1)+1

=5(5(2)+1)+1

=5(10+1)+1

=5(11)+1

=55+1

=56

Step-by-step explanation:

Firstly we need to ratio the fertilizer to plant food:

\(1\frac{1}{2} : 3 \frac{3}{4}\)

Lets add these two values together:

\(1\frac{1}{2} + 3 \frac{3}{4} = 5 \frac{1}{4}\)

So now we know one of each, we can divide the above value into 42 to find out the amount:

42 ÷ \(5\frac{1}{4}\) = 8

So this means that 8 portions of each can be used. This can calculate the full ratio by multiplying each ratio by 8:

\((1\frac{1}{2} * 8) : (3 \frac{3}{4} * 8)\) =

12 : 30

You have not included the statements although I hope you can decide which statement is true via the explanation above, feel free to comment the different statements if need be.

Hope this helps!

Answer:

See below (answers are in bold)

Step-by-step explanation:

Left rectangle:

P=2L+2W

P=2(n+0.6)+2(n)

P=2n+1.2+2n

P=4n+1.2

Right rectangle:

P=2L+2W

P=2(2n)+2(n+0.1)

P=4n+2n+0.2

P=6n+0.2

Answer:

30.6 if im wrong someone correct me in comments and explain why

Step-by-step explanation:

I multiplied 2.3 by 4.5 and got 10.35 then divided it by 2 and got 5.175 and multiplied it by 2 and got 10.35 then I multiplied 4.5 by 4.5 and got 20.25 and added it to 10.35 and got 30.6

Easier way just add the two lengths and multiply it by height

Explanation:

The table of values is given below as

Using a graphing tool, we will have the parabola represented below as

Answer:

3 x 10^4

Step-by-step explanation:

the decimal is behind the 3 (3.) and you move the decimal 4 times to the right

Answer:

4) 34.1 ft²

6) 9.9 ft²

Step-by-step explanation:

The formula for the area of a triangle is A = 1/2 × b × h.
Plugging in the givn values, we have the equations: A = 1/2 × 11 × 6.2 and A = 1/2 × 6 × 3.3. Now we can solve.

--------------------------

4) A = 1/2 × 11 × 6.2

5.5 × 6.2 = 34.1 ft²

--------------------------

6) A = 1/2 × 6 × 3.3

3 × 3.3 = 9.9 ft²

hope this helps!

For the given  system t is not application. There is no solution for the system.

In mathematics, the phrase "solution" refers to a particular value or set of values that satisfies a given equation or set of equations. Finding a solution to the problem is a necessary step in solving a system of equations.

A value for the unsolved variable that makes the equation true is referred to as the solution.

The solutions are all the values of x in the domain such that f(x) = g if we have two functions f and g that both map to the same co-domain (x).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution.

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The values of derivatives are:

The derivative is the instantaneous rate of change of a function with respect to one of its variables.

Given:

y = 1/ (x+2)

y= \((x + 2)^{-1}\)

On differentiating w.r.t 'x' is

y' = (-1) \((x+2)^{-2}\)

y' = -1/(x+2)²

Now, y'(5) = -1 / (5+2)²

y'(5) = -1/49

at x= -4

dy/dx = -1/(-4+2)²

dy/ dx =-1/4

At x= -1

y' = -1/ (-1+2)²

y' = -1

At x= 2

dy/dx = 1/(2+2)²

=1/16

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Answer:

See below.

Step-by-step explanation:

I assume the fraction 3/5 is raised to the 3rd power.

I assume this is the given expression.

\( (\dfrac{3}{5})^3 \)

The base is 3/5    True

The base is 3     False

The exponent is 3    True

The expanded form is \( \dfrac{3}{5} \times \dfrac{3}{5} \times \dfrac{3}{5} \)       True

The expanded form is \( \dfrac{3 \times 3 \times 3}{5} \)     False

\( (\dfrac{3}{5})^3 = \dfrac{9}{15} \)      False

\( (\dfrac{3}{5})^3 = \dfrac{27}{125} \)      True

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Answer:

2131

Step-by-step explanation:

26×9=234

271×7=1897

234+1897=2131

Answer:

false

Step-by-step explanation:

hope this helps✨

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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The unit cost C depends on the number of engines made. If x engines are made, then the unit cost is given by the function:

C(x)=0.2x²+ 248x +21,748 is $12917, which is the minimum unit cost.

Unit cost, also known as the break-even point, is the lowest price at which a company must sell a product to avoid losses. For example, a product with a breakeven unit cost of $10 per unit must sell above that price. Revenues above this price constitute the company's profit.

The calculates the unit cost of production as the break-even point. This cost constitutes the base price that the company uses to determine its market price.

In general, a unit must sell for more than its unit cost to generate a profit. For example, a company manufactures 1,000 units of a product that costs $4 each and sells them for $5 each. The profit is $5 minus $4, or $1 per unit of income. If a unit is priced at $3 per unit, there is a loss because $3 minus $4 (cost) is a loss of $1 per unit.

By the definition of average cost, we know it is the ratio of the total cost to the number of manufactured products. The total cost here is also termed as unit cost, which is equal to the sum of fixed cost and variable cost.

Hence, Average cost = Total cost/Number of units

                                    =  (Fixed cost + Variable cost)/Number of units.

According to the Question:

The minimum unit cost is $12197.

Take the derivative and set = 0  solve for x

C'(x) = 2x -360 = 0

x = 180 engines

C(180)  = (180)² -360(180) + 44,597

           = 44,597 - 32400

           = $12,197  minimum cost.

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Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation:

Step-by-step explanation:

P(A) = 5/24

P(B|A) = 5/23

(5/24)(5/23) = 25/552

Answer: 45.5 miles

Step-by-step explanation: divide182 by 4

Answer:

182/4=45.5

the bus travels 45.5 miles in 1 hour

I hope this helps!!

Step-by-step explanation:

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

The z-score of -1.6 is less than 2.00 but greater than -2.00.

Hence, we can conclude that the value is not unusual.

The correct answer is: -1.6; not unusual.

When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,

we need to find the corresponding z-score and determine whether the value is unusual or not.

The formula for calculating z-score is:

z = (x - μ) / σ

Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6

Therefore, the z-score corresponding to the given value is -1.6.

Now, we need to determine whether this value is unusual or not.

A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.

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Step 1

State the general relationship between the electrical power, P, the voltage of the motor, V, and the resistance R from the question

Hence the equation that correctly states the relationship between the power, voltage, and resistance is

Answer:

128

Step-by-step explanation:

12+12+12+12+16+16+16+16+16

We have the following:

The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

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