area of rectangle:

Area is 21 square units. The Width of rectangle is 5 less than 4 times the length. Find the Dimension.

Write the formula and answer MUST SHOW ALL WORK!

Answer:

Once the number of possible heads and tail in 12 tosses is [tex]2^{12} =4096[/tex]

[tex]\frac{12!}{\left(7!\right)\left(5!\right)}\\\\\frac{12\cdot \:11\cdot \:10\cdot \:9\cdot \:8}{5!}\\\\\frac{95040}{120}\\\\792[/tex]

So the probability of getting exactly  8  heads in  12  coin tosses is: [tex]\frac{792}{4096}[/tex]

Answer: A) x2+y2+16x-8y+73=0

Step-by-step explanation:

I got it right on edge.

The generic version of the circle equation is, x² + y² + 16x - 8y + 73 = 0.

A circle is a closed two-dimensional object in which all points in the plane are equidistant from a single point known as the "centre." The line of reflection symmetry is formed by every line that travels through the circle. For any angle, it also exhibits rotational symmetry around the center.

Step 1:

The conventional form of the circle equation is expressed as:

(x - a)² + (y - b)² = r²

where centers are specified as (a,b)

The circle equation given in the question is:

x² + y² = 7

If the circle is translated T(-8,4), the center of the translated circle is located at (-8,4).

As a result, the conventional version of the circle equation is:

(x + 8) ² + (y - 4) ² = 7

Step 2:

Simplifying the problem:

(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7

x² + 64 + 16x + y² + 16 - 8y = 7

x² + y² + 16x - 8y + 80 = 7

x² + y² + 16x - 8y + 80 - 7 = 0

x² + y² + 16x - 8y + 73 = 0

which is the generic version of the circle equation.

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Answer:

12

Step-by-step explanation:

The y-intercept is when x=0.

In this equation, that would mean T(0)=12(1.12)^0=12(1)=12.

Hope this helped <3

Answer:

12

Step-by-step explanation:

Answer:

Brianna

Step-by-step explanation:

(p^-5)/q⁰

(p^-5)/1

1/p⁵

1/p⁵ × q⁰

Answer:

Brianna

Step-by-step explanation:

edge

Answer:

$943.5

Step-by-step explanation:

Tax: 11% of 850

11/100 × 850 = 93.5

Total cost = 850 +93.5

= 943.5

A total is $943.50.

To calculate the total cost of the newest iPad including the sales tax, we need to add the tax to the initial price of the product. The iPad costs $850, and the sales tax rate is 11%. To find the tax amount, convert the percentage to a decimal by dividing by 100, which gives us 0.11, and then multiply this by the cost of the iPad.

Sales Tax = iPad Cost x Tax Rate

Sales Tax = $850 x 0.11

Sales Tax = $93.50

Now, to find the total cost, add the initial iPad cost to the sales tax:

Total Cost = iPad Cost + Sales Tax

Total Cost = $850 + $93.50

Total Cost = $943.50

Answer:

The required measure of angle 3 is 60°.

Step-by-step explanation:

 We are given to find the measure of angle 3 from the figure if

m∠5 = 130° and m∠4 = 70°.

Let the measure of angle 3 be x°.

From the figure, we note that

angle 5 is an exterior angle and angles 3 and 4 are two remote interior angles of the triangle.

We know that

the measure of an exterior angle to a triangle is equal to the sum of the measures of two remote interior angles.

So, we get

Thus, the required measure of angle 3 is 60°.

Answer:

11

Step-by-step explanation:

f(x) = 3x^2 – 4x – 9

Let x = -2

f(-2) = 3 (-2)^2 -4(-2) -9

      =3(4) +8 -9

      =12 +8 -9

      20-9

       11

Answer:

32 degrees

Step-by-step explanation:

The interior and exterior of X must equal 180 degrees.

X + W = 180

Plug in 100 for W and subtract it from both sides.

180 - 100 = X = 80 degrees.

The total of the internal angles of a triangle are 180 degrees.

80 + 68 + Y = 180

Solve for Y:  Y = 180 - 68 - 80 = 32 degrees.

Answer:

A) 9

Step-by-step explanation:

  15 - 3(6 - 4)

= 15 - 3(2)

= 15 - 3 x 2

= 15 - 6

= 9

The given expression is equivalent to 9 The correct answer is option A) 9.

To simplify 15 - 3(6 - 4), we follow the order of operations (PEMDAS/BODMAS):

Step 1: Start with the innermost parentheses (6 - 4):

15 - 3(2)

Step 2: Next, perform the multiplication:

15 - 6

Step 3: Finally, do the subtraction:

9

The correct answer is option A) 9. The explanation shows how we first evaluate the expression inside the parentheses (6 - 4), then perform the multiplication (3 times 2), and finally subtract the result (6) from the initial value (15) to get the final answer of 9.

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Answer:

no

Step-by-step explanation:

8= -5(3)+1 is not a true statement because it equals -14 not 8

Answer:

False

Step-by-step explanation:

Substitute the point into each equation and see if it gives a true statement

y = -5x+1

8 = -5(3) +1

8 = -15+1

8 = -14

False so this is not a solution

We do not need to check the second equation since the first is false

Answer:

14

Step-by-step explanation:

Answer:

The answer to your question is Dan worked 7 hours

Step-by-step explanation:

Data

Money made $242 / 11 h

Money made $154 / ?

Process 1

1.- Determine the money made in one hour using proportions and cross multiplication

                       $242------------------------ 11 h

                            x   ------------------------  1 h

                                x = (1 x 242)/11

                                x = $22

2.- Use proportions to determine the hours he work to made $154

                        $22 --------------------  1 h

                      $154 -------------------- x

                              x = (154 x 1) / 22

                              x = 154/22

                             x = 7 hours

Answer:

f(g(x)) = 8x - 4

Step-by-step explanation:

f(g(x)) = g(x) + 6

= 8x - 10 + 6

= 8x - 4

Answer:

f(g(x)) = 8x - 4

Step-by-step explanation:

Substitute x = g(x) into f(x), that is

f(g(x))

= f(8x - 10)

= 8x - 10 + 6

= 8x - 4

Step-by-step explanation:

By blue print conversion,

2 inches = 8 feet

Therefore, 1 inch = [tex]\frac{8}{2}[/tex] = 4 feet

1 inch = 4 feet

The height of the building on the  blueprint = 9 inches

The actual height of the building = 9 * 4 = 36 feet.

Answer:

(x + 4)(x - 2)

Step-by-step explanation:

For factoring when there's a coefficient on the leading variable, I use the "slip n' slide" method (my teacher called it that, I had no part in naming it), but when that fails, you can use the quadratic formula.

First, you "slip" the leading coefficient to the end, and multiply.

5x² + 10x - 40

x² + 10x - 200

Now, you factor it normally.

x² + 10x - 200

= (x + 20)(x - 10)

Then, you divide the 2nd part in each parentheses with the coefficient you slipped in the beginning. This is super important! I always had trouble remembering this step, so hopefully you won't.

(x + 20/5)(x - 10/5)

= (x + 4)(x - 2)

I hope this helped!

Answer:

29, 34

Step-by-step explanation:

Let x and y be the two numbers

x = y + 5

(4y - 3) - 3x = 11

4y - 3x = 14

4y - 3(y + 5) = 14

4y - 3y - 15 = 14

y = 29

x = 29 + 5 = 34

Answer:

8x(2x-1)

Step-by-step explanation:

I just got this right hope it finds you well.

Answer:

True

Step-by-step explanation:

It is true because the solutions are x = -4, -3, and 3.

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

Answer:

True

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The total of the two days adds up to 0. So define x as the score of the first day, and then have the equation x - 6 = 0.

Then solve,

x - 6 (+6) = 0 (+6)

x + 0 = 6

x = 6

Answer:

trapezoid

Step-by-step explanation:

There is only one group of shapes that could be a trapezoid

A square, a rectangle, a rhombus, a trapezoid, a kite, and other 4-sided shapes fall under the category of quadrilateral

A rhombus, a parallelogram, and a square are all rhombuses

Answer: growth factor = 1.022

Step-by-step explanation:

The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%

What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US

Answer:

The per capita GDP in the US is multiplied by approximately 1.0221.0221, point, 022 each year.

Step-by-step explanation:

Answer:

x = 6.6; DE = 16.6  

Step-by-step explanation:

Assume the diagram is like the figure below.

1. Calculate the value of x

In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.

Thus, ∆CDF ~ ∆FDE, and

[tex]\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}[/tex]

2. Calculate the length of DE

DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2

Answer:

X= 6.6

DE= 16.2

Step-by-step explanation:

Answer:

0.19706

Step-by-step explanation:

-Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:

[tex]P(70000<X<80000)=P(\frac{X_1-\mu}{\sigma}<z<\frac{X_2-\mu})\\\\=P(\frac{70000-65000}{6000}<z<\frac{80000-65000}{6000})\\\\=P(0.8333<z<2.5)\\\\\\=0.99379-0.79673\\\\=0.19706[/tex]

Hence,the probability that an employee makes between $70,000 and $80,000 is 0.19706

Final answer:

To find the probability that an employee makes between $70,000 and $80,000, we calculate the z-scores and use the z-table. The probability is 0.1971.

Explanation:

To find the probability that an employee makes between $70,000 and $80,000, we need to calculate the z-scores and use the z-table.

First, we calculate the z-score for $70,000:

z = (X - μ) / σ

z = (70000 - 65000) / 6000 = 0.8333

Next, we calculate the z-score for $80,000:

z = (80000 - 65000) / 6000 = 2.5

Using the z-table, we can find the probabilities associated with these z-scores. The probability of an employee making less than $70,000 is 0.7967, and the probability of an employee making less than $80,000 is 0.9938. Therefore, the probability of an employee making between $70,000 and $80,000 is:

P(70000 < X < 80000) = P(X < 80000) - P(X < 70000) = 0.9938 - 0.7967 = 0.1971

Answer:

y = - 5

Step-by-step explanation:

[tex] log_{2}( \frac{1}{32} ) = y \\ \\ log_{2}( \frac{1}{ {2}^{5} } ) = y \\ \\ log_{2}( {2}^{ - 5} ) = y \\ \\ {2}^{ - 5} = {2}^{y} \\ \\ - 5 = y \\ \\ \huge \red{ \boxed{y = - 5}}[/tex]

Answer:

b) She stopped to change a flat tire.

Step-by-step explanation:

I'm assuming the y-axis of the graph says distance.

Over time, Anita did not move at all which indicates that she stopped. There is nothing to do with speed in this question do you can take out answers a) and d). c) is pretty irrelevant because why would Anita continue riding her bike after if she already won. So the answer is b) She stopped to change a flat tire.

Hope this helped! :)

Answer:

D) Point S will be translated to (4, 3) and then reflected to (4, −3)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:  

It's A - F is the midpoint of AA' because Line E G bisects AA'

Step-by-step explanation: :D

When a point bisects a line segment, it divides the line segment into two equal segments. The true statement about point F is that:

F is the midpoint of AA' because Line E G bisects AA'

I've added as an attachment, the diagram of triangles [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex]

From the attached figure of [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex], we can see that line EF passes through line AA'.

Lines EF and AA' intersect at point F, where point F is the midpoint of line EF and line AA'.

Hence, F is the midpoint of line AA' because line EG is a bisector of line AA.

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Answer:

The sequence is a function

Step-by-step explanation:

where n is the number of months since his initial deposits, and A₀=50

The sequence is a function because its domain is a set of natural numbers.

For example,

A₁=A₀+25 =75

A₂=A₁+25=100

A₃=A₂+25=125

A₄=A₃+25=150

The domain is 0, 1, 2, 3, 4, 5,.....

The set of all non-negative integers.

Given sequence is [tex]A_{0}=50, \ A_{n}=A_{n-1}+25[/tex]

Domain of this sequence is n = the number of months since the initial deposit.

The possible values of n = 0, 1, 2, 3, 4, 5,..... It means the set of all non-negative integers.

So it is the domain of the sequence.

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Answer:

6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

We have to use Pythagoras' identity twice to find y

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

In right triangle MUT to find TU

TU² + 3² = 6², that is

TU² + 9 = 36 ( subtract 9 from both sides )

TU = 27 ( take the square root of both sides )

TU = [tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = 3[tex]\sqrt{3}[/tex]

In right triangle NUT to find y

y² = 9² + (3[tex]\sqrt{3}[/tex] )² = 81 + 27 = 108 ( take the square root of both sides )

y = [tex]\sqrt{108}[/tex] = [tex]\sqrt{36(3)}[/tex] = 6[tex]\sqrt{3}[/tex]

Answer:

21

Step-by-step explanation:

hundreds place is 2 tenths are 21  and ones is 210

Answer: 21

Step-by-step explanation: It's 21 because 21 times 10 equals 210.