(a) Solve the following formula for b.
1
A = ab
(b) Evaluate b when A= 18 and a =
6/5
1
(a) The formula A = ab solved for b is b = 3X
6
(b) Evaluate b when A= 18 and a = 5
b = (Type an integer or a simplified fraction.)

Answer:

x = 61

Step-by-step explanation:

Alternate exterior angles must be congruent for the lines to be parallel.

3x - 43 = 2x + 18

x = 61

Answer:

Step-by-step explanation:

Given:

Find: p

Formula: p=k²w

Solution:

p=k2w

➡️ p= (5)²(-3)

➡️ p= 25(-3)

➡️ p= -75

Answer:

Hope it helps

Answer:

1256 cm

Step-by-step explanation:

First we must find the perimeter, because the perimeter is equal to 1 revolution.

The perimeter of any circle is Pi(Diameter)

3.14*20

62.8 cm is the perimeter of the bike wheel.

Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:

1256 cm

Answer:

a=6 it's even

Step-by-step explanation:

please mark me as brainlest

Answer:

A= 4

B= 3

i got it right.

Answer:

yea that’s right

Step-by-step explanation:

Answer:

y = 2x + 6

Step-by-step explanation:

We are given that a line runs through the points (-4,-2) and (-2,2).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.

First, we need to find the slope of the line.

The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

Even though we have two points, let's label the values of the points to avoid confusion & mistakes.

[tex]x_1=-4\\y_1=-2\\x_2=-2\\y_2=2[/tex]

Now let's find the slope (remember: the formula has subtraction):

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{2--2}{-2--4}[/tex]

This can be simplified:

m=[tex]\frac{2+2}{-2+4}[/tex]

Add the numbers together.

m=[tex]\frac{4}{2}[/tex]

Divide.

m = 2

The slope of the line is 2.

We can substitute this into the equation for m.

Here is the equation of the line so far:

y = 2x + b

We now need to find b.

As the equation passes through both (-4, -2) and (-2, 2), we can use either one of them to help solve for b.

Taking (-4, -2) for instance:

Substitute -4 as x and -2 as y in the equation we have.

-2 = 2(-4) + b

Multiply.

-2 = -8 + b

Add 8 to both sides.

6 = b

Substitute 6 as b into the equation.

y = 2x + 6

Topic: finding the equation of the line (slope-intercept form)

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Answer:

Step-by-step explanation:

a cuboid has length 18.5 cm, width 9.4 cm a height 6.2 cm. Work out the area of the cuboid​

assuming you are looking for thr surface area

Surface Area of a Cuboid ·

TSA = 2 (lw + wh + hl)

2*( 18.5 * 9.4 + 9.4 * 6.2 + 6.2 * 18.5) =         (remember PEMDAS)

2 * 346.88 =

693.76 cm²

Answer: [tex]-\frac{3}{2} \leq x < 5[/tex]

Step-by-step explanation:

We can split this into two inequalities, namely [tex]2x-3 < x+2[/tex] and [tex]x+2 \leq 3x+5[/tex].

Solving the first inequality,

[tex]2x-3 < x+2\\\\x-3 < 2\\\\x < 5[/tex]

Solving the second inequality,

[tex]x+2 \leq 3x+5\\\\2 \leq 2x+5\\\\-3 \leq 2x\\\\-\frac{3}{2} \leq x[/tex]

So, the solution is [tex]-\frac{3}{2} \leq x < 5[/tex]

Answer:

a probation violation occurs when someone who has already been sentenced for a crime breaks the terms or conditions of that probation

Total amount she paid to repay her loan was $17,687

Amount is the total sum  of money paid to the bank.It is basically the sum of interest and principal amount.

Principal is the sum of money taken from the bank

Interest is the sum of money charge by the bank during the period of loan repayment.

Rate of interest is the rate at which interest is charge in the principal sum

Time is the total period of the loan repayment.

Simple interest = (P x Rx T)/100

where, P=principal

           R=rate of interest

           T= time

Amount= Principal +Interest

As per question,

P=$17000

R=6.8%

I=$687

Amount=P+I

              =$17000+687

              =$17687

Therefore,Total amount she paid to repay her loan was $17,687

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Answer:

b)f(n)=4n+16

Step-by-step explanation:

if n=1

substitute 1 for n in the equation

f(1)=4(1)+16

=4+16

=20

f(2)=4(2)+16

=8+16

=24

And so on

The expression which is the simplest form of; - (4x³ + x²) + 2 (x³ − 3x²) is; -2x³ -7x².

The expression given in the task content whose simplest form is to be determined is;

- (4x³ + x²) + 2 (x³ − 3x²)

Hence, upon opening up the parentheses, it follows that;

-4x³ - x² +2x³ -6x²

Upon collection and summing up of like terms; -2x³ -7x².

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Answer:

Step-by-step explanation:

One - third = 1/3

then:

one third of a number = a*1/3 = a/3

Then the equation that represents this sentence is:

2 + a/3 = 8

process:

a/3 = 8 - 2

a/3 = 6

a = 6*3

a = 18

Check:

2 + 18/3 = 8

2 + 6 = 8

Answer:

Try retyping ,which expressions ..?? Maybe it didn't come out

Answer:

15

Step-by-step explanation:

Actual Question:

These expressions represent four numbers. The value of the median of the expressions is 12.

x  ,   2x,   6x,  11x

Work out the value of the mean of the expressions.

_____________________________________________

See the attachment for steps.

Answer:

Height = 132 mt

Step-by-step explanation:

Shadow lengths are proportional to the height of the object.

So, multiply the length of the tree's shadow by your height.

If you are 5 feet (1.5 meters) tall, and the length of  shadow is 88 meters long,

Multiply them together: 1.5 x 88 = 132 mt.

Hence, Height = 132 mt.

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Answer:

4 is the answer

Answer:

4 is the answer I believe

Step-by-step explanation:

how does the picture fit into this question ?

I guess you mean

(a² + ab)

when a = 4 and b = 3. then we simply replace the variable names by the actual values and calculate :

4² + 4×3 = 16 + 12 = 28

.

now to the picture :

i am not sure what the requested result of procedure is.

so, I am just going to simplify the expression :

(log(25) - log(4)) / (log(55) - 1/2 × log(2)

remember the rules of the logarithm :

log(a) - log(b) = log(a/b)

k × log(a) = log(a^k)

a^(1/2) = sqrt(a) (the square root of a)

I assume we are using the logarithm to the base of 10.

so, we have here

log(25/4) / log(55/sqrt(2)) =

= 0.795880017... / 1.589847692... = 0.500601423...

The predicted volume for a time of 12 seconds of the large, cone-shaped cistern is; V = 450.485 cm³

We are given the regression equation;

In V = -1.327 + 2.993 In T

Where;

V is volume

T is time

At T = 12, we have;

In V = -1.327 + 2.993 In 12

In V =  -1.327 + 7.4373

In V = 6.1103

V = e^(6.1103)

V = 450.485 cm³

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The equation which represents the lower unit rate of these two relationships is y = 2x/11.

In order to determine the equation which represents the lower unit rate of these two relationships, we would find the slope of the given points.

Mathematically, the slope of a straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Slope = \frac{6\;-\;4}{33\;-\;22}\\\\Slope = \frac{2}{11}[/tex]

Slope = 2/11.

From the standard equation, we have:

y = mx + c

y = 2x/11 + 0

y = 2x/11.

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The cost of 11-minute call between these two cities after 5 p.m is: 142.

Given:

Charges for long distance=65% or .65

Cost=20 cents per minutes

Number of call minutes=11 minutes

Hence:

Cost =20 cents ×11 minutes times 0.65

Cost =143 cents

Therefore the cost of 11-minute call between these two cities after 5 p.m is: 142.

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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

1) [tex]V=lwh=5(x)(8)=\boxed{40x}[/tex]

2) [tex]V=\pi r^{2}h=(\pi)(3^{2})(8)=\boxed{72}\pi[/tex]

3) [tex]40x=72\pi\\\\x=\frac{72\pi}{40} \approx \boxed{5.7}[/tex]

Answer:

D. x=5

The answer is x=4.50 then it is rounded off to 5. So, the answer is 5.

Step-by-step explanation:

Find the domain of the inequality:[tex]2x-1\geq 0[/tex]

Rearrange terms to the left side of the equation:[tex]2x\geq 1[/tex]

Divide both sides of the inequality by the coefficient of the variable:

=> [tex]x\geq \frac{1}{2}[/tex]

The domain of the inequality is:[tex]x\geq \frac{1}{2}[/tex]

Convert logarithm to exponential form:[tex]2^{3}=2x-1[/tex]

Calculate the power:[tex]8=2x-1[/tex]

Rearrange terms to the left side of the equation:[tex]-2x= -8-1[/tex]

Calculate:[tex]-2x=-9[/tex]

Divide both sides of the equation by the coefficient of the variable:[tex]x=\frac{-9}{-2}[/tex]

=> [tex]x=\frac{9}{2}[/tex]

=>[tex]x=4.5\\[/tex]

Round the number: [tex]x=4.50[/tex]

Answer: [tex]x=4.50[/tex]

=> [tex]x=5[/tex]

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Answer:

x = 9/2

Step-by-step explanation:

The best counterargument: the margin of error is quite small compared to the change year over year, so it is a significant issue.

In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely.

As, the temperature rises by 0.09 degree.

So, the difference between margin error and increase is higher which is

= 0.13- 0.09

=0.04

Hence, The margin of error is quite small compared to the change year over year, so it is a significant issue.

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If we write 0.125 in the fraction form then we will get 7/20.

Given Number which is 0.125

We are given a number 0.125 and we have to write this in fraction form.

0.125 can be written as 125/1000 it can be written as 7/20 by cutting on the numerator and denominator.

Fraction is a combination of numerator and denominator. If a fraction is solved then it comes in the decimal form. Recurring means the numbers which are coming again and again after the decimal.

In this fraction we have to ignore 1 and 5 because we have no idea how many times it is coming after decimal.

Hence the number 0.125 can be written as 7/20 in the fraction form.

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The width of a cell with the length (l) of the cell is [tex]\frac{2}{3}[/tex] mm and area (A) of the cell is [tex]\frac{1}{12}[/tex] mm² is [tex]\frac{1}{8}[/tex].

Given that, the length (l) of the cell is [tex]\frac{2}{3}[/tex] mm and area (A) of the cell is [tex]\frac{1}{12}[/tex] mm².

We need to find the width of the cell.

The area of a rectangle is the product of its length and width. So, the area of the rectangle = Length×Width square units.

Now, the area of a cell = [tex]\frac{2}{3}[/tex] ×Width=  [tex]\frac{1}{2}[/tex] mm².

⇒Width=[tex]\frac{\frac{1}{12} }{\frac{2}{3} } ={\frac{1}{12} \times {\frac{3}{2}=\frac{1}{8}[/tex]

Therefore, the width of a cell with the length (l) of the cell is [tex]\frac{2}{3}[/tex] mm and area (A) of the cell is [tex]\frac{1}{12}[/tex] mm² is  [tex]\frac{1}{8}[/tex].

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Answer: 7

Step-by-step explanation:

[tex]A \cap C[/tex] denotes the intersection of A and C, or in other words, how many elements are shared between them.

The number of elements is 2 + 5 = 7

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Answer:  [tex]\textsf{x = 6}[/tex]

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Given:  [tex]\textsf{The image provided with 2 angles and one side}[/tex]

Find:  [tex]\textsf{Solve for the unknown side of x}[/tex]

Solution:  In order to determine the length of x we need to use some trigonometric functions.  Using Soh Cah Toa we can see that we can either use 30 degrees or 60 degrees.  We will stick to 60 and we can see that the opposite side is 3 and the hypotenuse is x meaning that we need to use sin.  Plug in the values and solve for the unknown.

Plug in the values

Multiply both sides by x

Divide both sides by sin(30)

Simplify

Therefore, the value of the unknown variable x is 6 units.

a) Intercepts are the points on the x and y axis

In the graph:

x-int: (-2,0), (2,0)

y-int: (0,1)

b) Domain is the list of x-values and Range is the list of y-values that make this graph true

Interval notations of domain and range

(Square brackets because the circles are closed)

Domain: [3,3]

Range: [0,3]

c) Intervals of increase and decrease: where the graph is increasing and decreasing

Increasing: -2 to 0 & 2 to 3

Decreasing: -3 to -2 & 0 to 2

d)Even, odd or neither

It is an even degree as both of its hands are facing upwards

Hope it helps!