What is the median of this set of data?
1, 2, 5, 6, 9
A. 1
B. 5
C. 8
D. 9

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:

Brianna

Step-by-step explanation:

(p^-5)/q⁰

(p^-5)/1

1/p⁵

1/p⁵ × q⁰

Answer:

Brianna

Step-by-step explanation:

edge

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:

its c. trust me

Step-by-step explanation:

The resultant function of the parent function f(x) = x²,  which is translate left 5 units and down 1 unit, is  f(x) = (x+5)^2-1.

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

The given function is,

[tex]f(x) = x^2[/tex]

It has to be translated left 5 units. For this we have to add 5 units in the above function. Thus the function become,

[tex]f(x) = (x+5)^2[/tex]

Now the function is translated down 1 unit. For this we have to substract 1 units outside of the above function. Thus the function become,

[tex]f(x) = (x+5)^2-1[/tex]

Hence, the resultant function of the parent function f(x) = x²,  which is translate left 5 units and down 1 unit, is  f(x) = (x+5)^2-1.

Learn more about the transformation of a function here;

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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:

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:

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:

$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:

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:

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, D

Step-by-step explanation:

A is a completed statement and b can be solved.

B is an incomplete statement.

C is just a number.

D is a completed statement and y can be solved.

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]

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:

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.

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:

Circumference of the lily pad is about 28.3 ft

Area of the lily pad is about 63.6 ft²

Step-by-step explanation:

Formula for circumference of circle is,

Circumference = 2 π r

Given that diameter is 9 ft. Therefore radius is half of diameter.

[tex]r=\dfrac{d}{2}[/tex]

Substituting the values,

[tex]r=\dfrac{9}{2}=4.5[/tex]

Also value of π = 3.14

Substituting the value,

C = 2 × 3.14 × 4.5

Simplifying,

C = 28.26 ft

Rounding to nearest tenth value of circumference is C = 28.3 ft.

Formula for area of circle is,

A = π r²

Substituting the values,

A = 3.14 × 4.5²

Simplifying,

A = 63.585 ft².

Rounding to nearest tenth value of area is A = 63.6 ft².

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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#SPJ2

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:

8x(2x-1)

Step-by-step explanation:

I just got this right hope it finds you well.

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:

a) + x direction, b) [tex]+2\,yd[/tex].

Step-by-step explanation:

a) According to the Cartesian plane, an eastward translation implies a movement in the +x direction.

b) [tex]+2\,yd[/tex]

Coordinate geometry involves the use of a plane to represent positions.

On a coordinate geometry, eastward translation is represented by the horizontal (or x-axis).

Hence, the axis of the eastward translation is the x-axis

A change of two yards east:

The axis of the eastward translation is the x-axis

And it is along the positive x-axis

Hence, two yards east can be represented using the integer 2 or +2.

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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:

No, it is the same amout

Step-by-step explanation:

there are 12 inches is 1 foot. 12*3 is 36

Answer: Yes it is.

Step-by-step explanation:

3 yards = 3 x 3 x 12 = 108 inches which is greater than 36 inches.

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:  

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:

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

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: