HELP PLEASE HELP I NEED HELP PLEASEEEEEEEEEEE

Answer:

b = 5

Step-by-step explanation:

Add 8b to both sides :

2+6b = 5b+7

Subtract 5b from both sides :

2+b = 7

Subtract 2 from both sides :

b = 5

Let's check :

-8(5) + 2 +6(5) = -3(5) + 7

-40 + 2 + 30 = -15 + 7

-38 + 30 = -8

-8 = -8

Correct

Hope this helped and have a good day

Answer:

b = 5

Step-by-step explanation:

to solve this you must first combine like terms

-8b + 2 + 6b = -3b + 7

combine (add) -8b and 6b

that makes -2b

-2b + 2 = -3b + 7

now add 3b to both sides to put b on one side

-2b + 2 + 3b = -3b + 3b + 7

b + 2 = 7

now subtract 2 to both side

b + 2 - 2 = 7 - 2

b = 5

that is your answer

If Tater and Pepper incurred $14.4 million in depreciation expense and paid $30.5 million in taxes on EBIT in 2021. The EBIT is $93.3 million.

First step is to find the operating cash flow

Operating cash flow =$47.1 million + $30.1 million

Operating cash flow = $77.1 million

Now let find the EBIT

EBIT = Operating cash flow + Depreciation expenses - taxes

EBIT = $77.1 million + ($30.5 million - $14.4 million)

EBIT = $93.3 million

Therefore the EBIT is $93.3 million.

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Answer: 0.3278

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!!

The equation in slope intercept form of the line that passes through the graph is y = 2/3x + 2

From the graph, we have the points to be given as

(-3,0) and (0,2)

Start by calculating the slope of the points using the following slope equation

m = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3,0) and (0,2)

So, we have

m = (2 - 0)/(0 + 3)

Evaluate

m = 2/3

The equation is then calculated as

y = m(x - x₁) + y₁

Where

(x, y) = (0, 2) and m = 2/3

So, we have

y = 2/3(x - 0) + 2

Expand

y = 2/3x + 2

Hence, the equation in slope intercept form of the line is y = 2/3x + 2

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Answer:

Hope the picture will help you

The surface area of the largest size sphere that can fit in this box is 400π

What is the surface area of the sphere?

The surface area of a sphere is the space that the sphere's outer surface occupies. A sphere is a circle in three dimensions. A circle is a two-dimensional (2D) shape, whereas a sphere is a three-dimensional (3D) shape, which is the difference between the two.

Here, we have

The diameter of the biggest sphere will be equal to the side of the sphere.

radius = 20/2

​ = 10

The surface area of the sphere = 4πr²

=4π(10)²

= 400π

Hence, the surface area of the largest size sphere that can fit in this box is 400π.

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Answer: See coordinate graph below.

Step-by-step explanation: The black point is the original point and the red point is the reflected point.

Ordered pair of the reflected point:

A': (1, -4)

Let me know if this is right! :)

Answer: 119

Step-by-step explanation:

(4^2+1)(3*4-5)

=(16+1)(12-5)

=17*7

=119

Answer:

g(4) = 119

Step-by-step explanation:

g(x) = (x² + 1) (3x - 5)

Substitute x for 4 in the equation

g(4) = (4² + 1) (3(4) - 5)

g(4) = (16 + 1) (12 - 5)

g(4) = (17) (7)

g(4) = 119

Hence, the value of g(4) is 119

The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.

Capacity refers to the product of the length, width, and height of a three-dimensional object or space.

The capacity of an object means the same as its volume.

Olympic-size swimming pools have the following standard dimensions:

Length = 50 m

Width = 25 m

Height = 2 m

Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)

= 660,000 gallons (2,500 x 1,000 ÷ 3.785)

An interval estimate shows the lower and upper limits.

6 x 105 gallons = 630 gallons

Thus, the capacity of the swimming pool is Option B.

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A. 100 gallons to 500 gallons

B. 500 gallons to 1,000 gallons

C. 1,000 gallons to 1,500 gallons

D. 1,500 gallons to 2,000 gallons

The sum of the first and second integer is 44.

Let the numbers be x, x+2 and x+4.

If the second is subtracted from twice the sum of the first and third,the result is 52 more than the first. This will be:

2(x + 2 + x + 4) - (x + 2) = x + 52

2(2x + 6) - (x + 2) = x + 52

4x + 12 - x - 2 = x + 52

Collect like terms

4x - x - x = 52 - 12 + 2

2x = 42

Divide

x = 42/2

x = 21

Second Integer = x + 2 = 21 + 2 = 23

Third integer = x + 4 = 21 + 4 = 25

Sum = 21 + 23 = 44

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Answer:(1)  y-intercept exists 490 and the slope is -2/3x.

(2) First, I observe the point (0,490) and plot a point there. Then utilize our slope -2/3 to compute the direction and angle the line moves by measuring 2 down and 3 to the right.

(3) The equation of the function is

The diagram illustrates how many wraps could've been sold for each number of sandwich sales to maintain the identical earnings of $1,470.

(4) The graph of the equation is shown below.

(5) The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.

(6) The equation is

Step-by-step explanation:

(1)

slope-intercept form of a linear equation is where one side includes only "y".

⇒

⇒

Therefore,

.

Hence, the y-intercept exists at 490 and the slope is -2/3x.

(2)  

I would graph this line using the slope-intercept method First, I observe the point (0,490) and plot a point there. Then utilize our slope -2/3 to compute the direction and angle the line moves by measuring 2 down and 3 to the right.

(3)

The equation of the function is. The diagram illustrates how many wraps could've been sold for each number of sandwich sales to maintain the identical earnings of $1,470.

(4)

The graph of the function is shown below,

(5)

Therefore,

The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.

(6)

y intercept= 300

The equation will be,

The first number is 3 and the second number is -5.

According to the question,

We have the following information:

There are two mystery numbers. The sum of 6 times the first number and 4 times the second number is -2. The sum of 6 times the first number and 2 times the second number is 8.

Now, let's take the first number to be x and the second number to be y.

So, we have the following expressions:

6x+4y = - 2

6x = -2-4y ...(1)

6x+2y = 8

Putting the value of 6x from equation 1:

-2-4y+2y = 8

-2-2y = 8

-2y = 8+2

-2y = 10

y = -10/2

y = -5

Putting this value of y in equation 1:

6x = -2-4y

6x = -2-4*(-5)

6x = -2+20

6x = 18

x = 18/6

x = 3

Hence, the first number is 3 and the second number is -5.

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The structure's length is 93 feet long and its width is 62 feet.

acc to our question -

Let W stand for the rectangle's flower garden's width and L for its length.

A rectangle flower garden with a width that is precisely two thirds of its length is created by an architect.

The following can be written:

W=2/3L

Given that the fence is 310 feet long, the rectangle's perimeter must also be 310 feet.

Perimeter = 2 (L + W)

The perimeter surrounding it)

2w + 2h = 310

2((2/3) * h) + 2h = 310

4h/3 + 2h = 310

10h/3 = 310

10h = 930

h = 93 feet

w = (2/3) * 93

w = 62 feet

Hence, The structure's length is 93 feet long and its width is 62 feet.

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By using the concept of function, it can be calculated that

[tex]f^{-1}(x) = \frac{3x - 4}{6}[/tex]

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, the function is

[tex]f(x) = 2x + \frac{4}{3}\\[/tex]

Let f(x) = y

[tex]2x + \frac{4}{3} = y\\\frac{6x + 4}{3} = y\\[/tex]

6x + 4 = 3y

6x = 3y - 4

[tex]x = \frac{3y - 4}{6}[/tex]

[tex]f^{-1}(x) = \frac{3x - 4}{6}[/tex]

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Answer: 56 minutes

Step-by-step explanation:

7 = 7, 14, 28, 35, 42, 49, 56

8 = 8, 16, 24, 32, 40, 48, 56

7 and 8 have 56 in common so it would take them 56 minutes

Tthe length of PQ and QR.​ is 6 and 8 m

Area of rectangular field ABCD is = 4m x 6m = 24m2

Area of rectangular field PQRS (ABCD with uniform path) = (4 + x)(6 + x)

= 24 + 4x + 6x + x²

48 = 24 + 10x + x²

x² + 10x - 24 = 0

x² + 12x - 2x - 24

x(x + 12) - 2(x + 12)

(x - 2)(x + 12) = 0

x - 2 = 0

x = 2

PQ = 4 + 2 = 6

QR = 6 + 2 = 8

Therefore,  the length of PQ and QR.​ is 6 and 8 m

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Answer:

Mark did 12 pull ups

Step-by-step explanation:

48 / 4 = 12

The graph of the linear function w(x) = 3/5x + 2 is coordinates or points   (0,2), (1,2.6) (2,3.2) (3,3.8)

What is a linear function?

A linear function is a straight line on an x-y coordinate.

Formula

w(x) = 3/5x +2 in each coordinate I have a x so for example 3.

I would rewrite this as 3/5(3) + 2

w(x) = 3/5x +2

w(3) = 3/5(3) + 2

y = 1.8 + 2

y = 3.8

Answer:

6

Step-by-step explanation:

the answer is 6

Answer:

Step-by-step explanation:

1. First multiply to get the number of hours for 5 painters.

5*21= 105 minutes for 5 painters.

2. Divide by 7 for hours taken for the 7 painters!

105/7=15

3. Answer=15 hours

The probability that both bills are $20 if the first selected is a $20 bill is 1/16.

The probability formula is as defined as the possibility of any event to happen which comes to be equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Probability of event to occur P (E) =

[tex]\frac{Number of favourable outcomes}{ Total number of outcomes }[/tex]

Hat contains four bills: a $1, a $5, a $10, and a $20 bill.

Probability(P1) of Getting $20 bill in 1st selection = 1/4 ;

After Replacement,

Probability(P2) of Getting $20 bill in 2nd selection = 1/4 ;

So, the probability that both bills are $20 if the first selected is

a $20 bill = 1/4 * 1/4 = 1/16,

Hence we get 1/16 as the probability of getting both bills of $20.

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The linear function that could express the relationship between x and y is given as follows:

y = -0.4x + b, b > 0.

The slope-intercept representation of a linear function is given by the rule presented below as follows:

y = mx + b

The coefficients of the function, along with their meaning, are listed as follows:

In the relationship, we have that each time x decreases by 5 , y increases by 2, hence the slope is obtained as follows:

y = -2/5 = -0.4.

The y-intercept is positive, hence the definition of the function is given as follows:

y = -0.4x + b, b > 0.

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The tip of his shadow moving when he is 50 ft from the pole is 10ft/s

The practical approach of differentiation may be performed utilizing just algebraic operations, three fundamental derivatives, four principles of operation, and an understanding of how to manipulate functions, in contrast to the theory's abstract character.

The theory offers the following fundamental guidelines for differentiating the sum, product, or quotient of any two functions f(x) and g(x) whose derivatives are known (where a and b are constants) for functions constructed of combinations of these types of functions

I assume the man and pole are standing straight up, which means the 2 triangles are similar to each other.

(y-x)/y =6/15

15(y-x)=6y

9y=15x

y=(5/3)x

Differentiating both sides with respect to t,

dy/dt=(5/3)dx/dt

We know that, dx/dt= 6 ft/s

((5/3)*6=10 ft/s

Therefore, the tip of his shadow moving when he is 50 ft from the pole is 10ft/s

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After 16.9 years the population will reach to 24300.

What do you mean by exponential growth and decay?

Quantities that fluctuate quickly are subject to exponential growth and decay. The idea of geometric progression has been used to infer exponential growth and decay. Exponential growth or exponential decay are terms used to describe quantities that vary exponentially rather than continuously. Studying bacterial growth, population expansion, and money growth schemes all use exponential growth.

It is given that a town has a population of 16000 and grows at 2.5% every year.

Now we need to  find the time period when the population will reach 24300

So, [tex]24300 = 16000(1+0.025)^{t}[/tex]

24300/16000 = [tex](1+0.025)^{t}[/tex]

24300/16000 = [tex]1.025^{t}[/tex]

1.51875 = [tex]1.025^{t}[/tex]

Taking log on both sides we get,

log(1.51875) = t log(1.025)

0.18148 = t (0.01072)

t = 0.18148/0.01072 = 16.9

Therefore, after 16.9 years the population will reach to 24300.

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For given function  f(x) = 7/(x² - 5),

f(a + 4) = 7/(a² + 8x + 11)

In this question we have been given a function f(x) = 7/(x² - 5)

We need to evaluate f(a + 4)

Substitute x = a + 4 in given function.

f(a + 4)

= 7/((a + 4)² - 5)

=  7/(a² + 8x + 16 - 5)

=  7/(a² + 8x + 11)

Therefore, for given function  f(x) = 7/(x² - 5),

f(a + 4) = 7/(a² + 8x + 11)

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Option B. The appropriate conclusion at the 5% significance level is to Reject the null hypothesis, the population mean is significantly different from 123

H0: mean = 123

H1 : mean ≠ 123

We have the p value of the statistics stated already in the question as p value = 0.0037.

The level is significance that we have been given in the question is 5% = 0.05

We are to test here if the true mean is different from 123.

Hence we would be testing the p value against the significance level.

We can see that P value is  < level of significance.

0.0037 < 0.05

Hence we would reject the null hypothesis.

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The value of C (8,5) is 56.

A combination is made up of n different items that are taken one at a time without repeating itself.

The given expression is C(8,5).

The expression C (8,5) can be denoted as ₈C₅.

The formula for selecting x thins from n things is:
ₙCₓ = n!/( (n-x)! x!)

Therefore, the value of ₈C₅ is:

₈C₅ = 8!/( (8-5)! 5 !)

     = 8!/( 3! ×5!)

      = (8×7×6×5!)/( 3! ×5!)

      = (8×7×6)/(3!)

      = (8×7×6)/(6)

      = 8×7

      =56

Hence, the value of C (8,5) is 56.

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Based on the equation, the minimum number of years an employee would have to stay to make a salary of over $40,000 per year is B. 12 years.

An equation is a mathematical statement that defines that two or more mathematical expressions are equal or equivalent.

Equations show equality using the equation symbol (=).

When one expression is more or less than, or not equal to another expression, it is an inequality.

If S = $33,113 + $600t

Where S = the salary before taxes

t = the time since the date of hire in years.

For S ≥ $40,000:

$33,113 + $600t ≥ $40,000

$600t ≥ $40,000 - $33,113

$600t ≥ $6,887

t ≥ 11.48

t = 12 years

Thus, using the given equation, an employee needs to stay at the work for 12 years to earn more than $40,000 a year.

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