PLEASE HELP
ALGEBRA

PLEASE HELPALGEBRA

Answers

Answer 1

The explicit formula for the geometric sequence would be [tex]a_n =10000.87\times (0.95)^{n-1}[/tex].

What is a geometric sequence?

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Given:

         [tex]a_4=8573.75\\\\a_6=7731.81[/tex]

Now by using the formula for the nth term of a GP, we get

           [tex]a_n = ar^{n-1}\\\\a_4=ar{4-1}\\\\8573.75=ar^3[/tex]

Now for n = 6, we get

           [tex]a_n = ar^{n-1}\\\\a_6=ar{6-1}\\\\7737.81=ar^5[/tex]

Now divide we get

[tex]\frac{ar^5}{ar^3} =\frac{7737.81}{8573.35} \\\\r^2=0.9025\\\\r=0.95[/tex]

Now we can get the value of a,

         

        [tex]8573.75=ar^3\\\\a = \frac{8573.75}{(0.95)^3}\\\\a = \frac{8573}{0.8573}\\\\a = 10000.87[/tex]

So we can prepare the explicit formula as

            [tex]a_n =10000.87\times (0.95)^{n-1}[/tex]

Hence, the explicit formula for the geometric sequence would be [tex]a_n =10000.87\times (0.95)^{n-1}[/tex].

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Related Questions

If log102=0.3010, then log210 is equal to:

Answers

If log₁₀2=0.3010, the value of  log₂10 will be 3.3×10⁻⁴.Logarithm identity is used to find the value of the log₂10.

What is a logarithm?

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

It is given that, log₁₀2=0.3010

We have to find the log₂10

The following logarithm identity is used as,

logₐn=logₙa

log₂10 =1/ log₁₀2

log₂10 =1/ 0.3010

log₂10 =3.3×10⁻⁴

Thus, if log₁₀2=0.3010, the value of  log₂10 will be 3.3×10⁻⁴. Logarithm identity is used to find the value of the log₂10.

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Fill in the blanks to complete the equation that describes the diagram.

Answers

Answer:

-9

Step-by-step explanation:

-3+-6=-9

Find the quotient of 6x^3-+18x^2-18x+12 , x-2

Answers

In linear equation, 96 is the quotient.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                             Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

f(x) =  6x^3-+18x^2-18x+12

x - 2 = 0

x = 2

f( x) = 6 * 8 + 18 * 4 - 18 * 2 + 12

     =  48 + 72 - 36 + 12

      = 132 - 36

      = 96

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I’m a computer graphics design program, Mario created a segment with endpoints at ( 1, 5) and ( 7, 3). He then reflected the segment about a vertical line through the segment’s own midpoint. WHAT ARE THE COORDINATES OF THE ENDPOINTS OF THE NEW SEGMENTS?

A. (5, 1) and (3, 7)
B (7, 5) and (1, 3)
C. (7, 3) and (1, 5)
D. (5, 1) and (7, 3)

Answers

The coordinates of the endpoints after the transformation is (c) (7, 3) and (1, 5)

How to determine the coordinates of the endpoints

From the question, we have the following parameters that can be used in our computation:

Segment with endpoints at (1, 5) and (7, 3)

Also from the question, we have:

The points are reflected the segment about a vertical line through the segment’s own midpoint

When this is done, this means that the points would swap positions

So, we have the following representations

(1, 5) and (7, 3) ⇒ (7, 3) and (1, 5)

Hence, the coordinates of the endpoints is (c) (7, 3) and (1, 5)

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A loan used for buying a home is called a mortgage. The Fortunato family is buying a $430,000 home. They are taking out a 30-year
mortgage at a rate of 8%.
a. Compute the monthly payment.
b. Find the total of all of the monthly payments for the 30 years.
c. What is the finance charge?
d. Which is greater, the interest or the original cost of the home?

Answers

Answer:

  a.  $3155.19

  b.  $1,135,868.40

  c.  $705,868.40

  d.  interest

Step-by-step explanation:

You want to find the monthly payment, total repaid, and finance charge on a 30-year mortgage for $430,000 at the rate of 8%.

a. Payment

You can use a spreadsheet, financial calculator, app, or the amortization formula to find the payment amount.

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the principal amount of the loan, r is the annual interest rate, and t is the number of years.

  A = 430,000(0.08/12)/(1 -(1 +0.08/12)^(-12·30)) ≈ 3155.19

The monthly payment is $3,155.19.

b. Total repaid

The total of the 12·30 = 360 payments is ...

  360 · $3155.19 = $1,135,868.40

It will take about $1,135,868.40 to pay off the loan.

c. Finance charge

The finance charge is the difference between the amount repaid and the original loan amount:

  $1135868.40 -430000 = $705,868.40

The finance charge is $705,868.40.

d. Comparison

The finance charge at $706k is considerably greater than the original cost of the home, $430k.

The finance charge is greater.

An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is . Another side is 8 more than times the length of the bottom of the triangle. The last side is more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answers

To find the perimeter of the triangle, you need to add up the lengths of all three sides of the triangle.

Let's call the length of the bottom of the triangle x. The length of another side of the triangle is 8 more than 3 times the length of the bottom of the triangle, or 3x + 8. The last side of the triangle is y, where y is more than x.

The perimeter of the triangle can be expressed as:

x + (3x + 8) + y

Simplifying this expression gives:

4x + 8 + y

Therefore, the perimeter of the triangle can be expressed as the sum of 4 times the length of the bottom of the triangle, 8, and the length of the last side of the triangle, y.

Whenever he is injured and unable to play, Patrice Bergeron likes to earn a little extra cash by doing some tutoring. He currently charges $50/hr and has 20 students that he works with. He has discovered that for every $5/hr he increases the price, he loses one student.

Answers

The revenue function of Patrice Bergeron earnings is R(x) = (50 + 5x)(20 -x)

How to determine the revenue function?

From the question, we have the following parameters that can be used in our computation:

Charges  = $50

Students = 20

Also, we have:

For every $5/hr he increases the price, he loses one student.

This means that

Charges  = 50 + 5x

Students = 20 - x

So, the revenue equation is

R(x) = Charges * Students

Substitute the known values in the above equation, so, we have the following representation

R(x) = (50 + 5x)(20 -x)

Hence, the function is R(x) = (50 + 5x)(20 -x)

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Complete question

Whenever he is injured and unable to play, Patrice Bergeron likes to earn a little extra cash by doing some tutoring. He currently charges $50/hr and has 20 students that he works with. He has discovered that for every $5/hr he increases the price, he loses one student.

What is the revenue function

the midpoint of AB is at (0,4). If A=(3,0), find B.

Answers

If the midpoint of AB is at (0,4). and A = (3,0) then B is at point (-3, 8)

How to find point B

The formula to determine the center point of a straight line using the coordinates of its endpoints is known as the midpoint formula in coordinate geometry.

The formula is of the form

X= (x₂ - x₁)/2

Y = (y₂ - y₁)/2

solving for B (x₂, y₂)

0 = (x₂ + 3)/2

0 = x₂ + 3

x₂ = -3

4 = (y₂ + 0)/2

8 = y₂ + 0

y₂ = 8

point B = (-3, 8)

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A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than three?
For many rolls of the die, the long- run relative frequency of a number less than three landing face app is 1/3.

Answers

For many of the rolls die, the long run relative frequency of a number less than 3 landing face up is 1/3.

What is relative frequency?

The proportion of outcomes where a specific event occurs to all trials, not in a hypothetical sample space but in a real experiment, is known as the empirical probability, relative frequency, or experimental probability of an event.

Given that, Only two integers (1 and 2) are smaller than 3, hence their relative frequency will be 2/6=1/3.

The best way to interpret the data is thus,

For many rolls of the die, the long- run relative frequency of a number less than three landing face up is1/3.

Hence option A is correct which is for many of the rolls die, the long run relative frequency of a number less than 3 landing face up is 1/3.

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Tami earned 71 out of 80 points on a test. What percentage did Tami earn on the test?

Answers

Answer:

88.75% is the percentage Tami earned.

Need help to see if this is has a euler path?

Answers

If a graph G has an Euler path, then it must include precisely two odd vertices. Or, to put it another way, G cannot have an Euler path if the number of odd vertices is less than 2.

What is the Euler Theorem?A graph lacks Euler pathways if it contains more than two odd-degree vertices. 2. A graph contains at least one Euler path if it is connected and has exactly two vertices of odd degree or fewer. 3. If a network is connected and has 0 vertices of odd degree, it must contain at least one Euler circuit.If a graph G has an Euler path, then it must include precisely two odd vertices. Or, to put it another way, G cannot have an Euler path if the number of odd vertices is less than 2. In other words, v must have an even vertex.      

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A plane slices a double-napped cone parallel to the base of the cone. Which conic section is formed?

Answers

Answer:

Parabola

Step-by-step explanation:

A conic section is a curve obtained by the intersection of a plane with the surface of a (double-napped) cone, When the plane is parallel to the edge of one cone.

Thus, The intersection is a parabola.

Answer: degenerate hyperbola

Step-by-step explanation:

degenerate hyperbola because its the thickest of the plane so it can be formed.

2. Sandy Sellers works 30 hours per week
with an hourly rate of pay of $15.00 per
hour. She has deductions from each
paycheck of 12% for federal income tax,
2.84% for North Carolina income tax, 6.2%
for Social Security, and 1.45% for Medicare.
What is Sandy's net take home pay each
week?

Answers

Answer:

  $348.79

Step-by-step explanation:

You want to know Sandy Sellers' net weekly pay if she earns $15 per hour for 30 hours' work and has deductions of ...

12% federal tax2.84% NC tax6.2% SS1.45% Medicare.

Gross Pay

Sellers' net pay will be her gross pay, less the taxes. Those taxes are all percentages of her gross pay.

  gross pay = (hourly rate) × (hours worked)

  gross pay = ($15.00/hour) × (30 hours) = $450

Deductions

The deductions from her pay total ...

  12% +2.84% +6.2% +1.45% = 22.49% . . . . of her gross pay

The dollar amount of the deductions is ...

  0.2249 × $450 = $101.205 ≈ $101.21

Net Pay

Then Sellers' net pay is ...

  net = gross - deductions

  net = $450 -101.21 = $348.79

Sandy Sellers' take-home pay each week is $348.79.

What is the function rule? Select the correct choice and fill in any answer boxes in your choice below.
A. y=_____
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
B. There is no function rule.

Answers

B. There is no function rule

leo has 2 less than twice the toys gen, z has. if Leo has 6 toys how many does zen have?

Answers

Answer:10

Step-by-step explanation:10 times two is twelve and minus 2 is ten.

Of the 20 students in Mr . Evans class , 45% of them brought their lunches. Which of the following is the number of students who brought their lunches ?

Answers

Answer: 9 because 45% of 20 is 9

Please help work due at 11:59( look at photo for answer choices)

Answers

The vertex labels of Δ QRT are : ∠2 label is Q, ∠8 label is T and the remaining vertex label is R. The vertex labels for ΔSTR are: ∠5 label is S, ∠9 label is R and the remaining label is T.

What is a triangle?

The polygon having three sides and three vertices are known as triangle.

If we separate the two triangles as shown in the figure. We can find the vertex labels with the help of the angles marked in the figure.

For Δ QRT, the vertex labels are:

∠2 is Q, ∠1 is R and ∠8 is T

Similarly. for ΔSTR, the vertex labels are:

∠5 is S, ∠6 is T, and ∠9 is R

Hence,  For Δ QRT, we can label as ∠2 is Q, ∠1 is R and ∠8 is T and for ΔSTR we can label as  ∠5 is S, ∠6 is T, and ∠9 is R.

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PLS HURRY 30 PTS Write the math sentence as an equation: Negative six times the sum of a number and 18.3 is 27.9

−6(r + 18.3) = 27.9
−6(r − 18.3) = 27.9
−6r + 18.3 = 27.9
−6r − 18.3 = 27.9

Answers

Answer: A

Step-by-step explanation:

From the statement.

Times = Multiplication

The sum of a number and 18.3 = (r + 18.3)

Equals = 27.9

Therefore,

-6 x (r + 18.3) = 27.9

Which inequality does the graph represent?

A two-dimensional graph with an x-axis and a y-axis is given. A dotted line is passing through the co-ordinates (1,0), and (-1,2). The region below the dotted line is shaded in grey.
A. y < –x – 1
B. y < –x + 1
C. y < x – 1
D. y < x + 1

Answers

The inequality that the graph represent is y < -x + 1. The correct option is B. y < –x + 1

Determining the inequality that represents a graph

From the question, we are to determine the inequality that represents the given graph.

From the given information,

The line is passing through the coordinates (1, 0) and (-1, 2).

Using the formula for the equation of a line,

Using the formula,

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

Then,

(y - 0)/(x - 1) = (2 - 0)/(-1 - 1)

y/(x-1) = 2/-2

y/(x -1) = -1

y = -1(x -1)

y = -x + 1

Since the line is dotted and the shaded region is below the line, the inequality becomes

y < -x + 1

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PLS HELP 10 POINTS!!
Perpendicular to the y-axis and has the point of (-4,5)
Answer choices
Y=5
Y=-4
X=5
X=-4

Answers

The line passes through Y=5. Correct option is A.

What is a perpendicular line?

Two lines are perpendicular to each other if they are at right angle

to each other.

Given, line is perpendicular to Y-axis and passes through (-4,5).

Therefore, the given line is parallel to X-axis and passes Y-axis at y=5.

Hence, the given line passes through Y=5.

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To multiply a decimal number by 10,
O move the decimal point one place to the right.
move the decimal point two places to the right.
O move the decimal point one place to the left.
O move the decimal point two places to the left.

Answers

Answer:

[tex]\huge{\boxed{\text{A) move the decimal point one place to the right}}}}[/tex]

Step-by-step explanation:

Think about the following scenarios

4.00 * 10

529.00 * 10

4 * 10 = 40 (4.00 * 10 =  40.0)

529 * 10 = 5290 (5290.00 * 10 =  5290.0)

As you can see, the decimal point is moving one space to the right when multiplying by ten.

In the decimal system, moving the decimal point one place to the right multiplies by ten, while moving the decimal point one place to the left multiplies by 1/10.

Hope it helps :) and let me know if you want me to elaborate.

Answer is A
Explanation is edge

Please help with this math qustion

Answers

Answer:155m

Step-by-step explanation:GK is congruent to HI

Solve equation with rational exponents. Check all proposed solutions.
8x^3/2-56=0

Answers

Answer: x=3√14

Step-by-step explanation:

For the following, find the length of AB:

(Use \large \pi=3.14 when necessary and round your final answer to the hundredths.)







Arc AB =

Answers

A circle is a two-dimensional figure with a radius and circumference of

2πr.

The arc length of AB is 10.05.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of

2πr.

We have,

The radius of the circle = 12

The circumference of the given circle.

= 2πr

This means,

The whole circle is 360°.

= 360/360 x 2πr

= 2πr

Now,

We need to find 48°

So,

The arc length of AB.

= 48/360 x 2πr

= 48/360 x 2 x 3.14 x 12

= 48/30 x 2 x 3.14

= 10.048

Rounding to the nearest hundredths.

= 10.05

Thus,

The arc length of AB is 10.05.

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Answer: 10.05

Step-by-step explanation:

The arc length of AB.

= 48/360 x 2πr

= 48/360 x 2 x 3.14 x 12

= 48/30 x 2 x 3.14

= 10.048

Rounding to the nearest hundredths.

= 10.05

The arc length of AB is 10.05.

The formula V equals 1.225 √a is used to estimate how far a person can see on a clear day,where V is the visibility in miles and A is the altitude in feet. What is Ty's visibility if out the upper window of a building with a altitude of 1,602 feet? Round your answer to the nearest whole number.

Answers

Ty's visibility if out the upper window of a building with an altitude of 1,602 feet is 49.

What is altitude?

The height of an object in relation to a planet's or a natural satellite's surface, like sea level or land. the degree to which a celestial body is elevated above the horizon.

Here, we have

Given

The formula V = 1.225 √a is used to estimate how far a person can see on a clear day, where V is the visibility in miles and A is the altitude in feet.

We have to find Ty's visibility out the upper window of a building with an altitude of 1,602 feet.

We know that

V = 1.225 √a

a = 1,602 feet.

V = 1.225 √1602

V = 49

Hence, Ty's visibility out the upper window of a building with an altitude of 1,602 feet is 49.

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David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos
cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of
$78,50 and sold a total of 87 nachos and sodas combined. Which system of equations
represents this situation?

Answers

Answer:

x + y = 87

1.5x + 0.5y = 78.50

Step-by-step explanation:

Let x be the number of nachos sold and y be the number of sodas sold

x nachos will cost 1.50x dollars
y sodas will cost 0.50y dollars

So total sales = 1.5x + 0.5y and we know he made $78.50

so one equation is
1.5x + 0.5y = 78.50

Total sold = x + y and we know that this number is 87

So the second equation is

x + y = 87

Need help, please!

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of
pairs of data in and the significance level a
n=14,a=0.01


A: r=0.661
B: r= +- 0.532
C: r= 0.684
D: r= +- 0.661

Answers

Answer:

c or b

Step-by-step explanation:

Please help, picture of question is attached

Answers

Bearing is a topic that deals with angles and distance. Thus, the required answers to the given question are:

i. Distance of 1034.2 miles

ii. Bearing of [tex]158^{o}[/tex]

The speed of an object is the rate of movement of the object with time.

speed = [tex]\frac{distance}{time}[/tex]

So that:

distance = speed x time

i. In the given question; let the initial distance covered be represented by d, so that:

d = 250 x 2

  = 500 miles

ii. Let the second distance covered by the pilot be represented by D, so that:

D = 300 x 2

   = 600 miles

iii. Thus let the distance to the starting point be represented by x. From Cosine rule, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C

[tex]x^{2}[/tex] = [tex]500^{2}[/tex] + [tex]600^{2}[/tex] - 2(500 x 600)Cos [tex]140^{o}[/tex]

   = 250000 + 360000 - 600000(-0,7660)

   = 610000 + 459600

   = 1069600

x = [tex]\sqrt{1069600}[/tex]

  = 1034.22

x = 1034.2 miles

Using the Sine rule to determine the required internal angle, we have:

[tex]\frac{a}{Sin A}[/tex] = [tex]\frac{c}{Sin C}[/tex]

[tex]\frac{500}{Sin A}[/tex] = [tex]\frac{1034.22}{Sin 140}[/tex]

Sin A = [tex]\frac{500*0.6428}{1034.22}[/tex]

         = 0.3108

A = [tex]Sin^{-1}[/tex] 0.3108

   = 18.11

A = [tex]18^{o}[/tex]

To determine angle B, we have:

140 + 18 + B = 180 (sum of angles in a triangle)

158 + B = 180

B = 180 - 158

  = 22

B = [tex]22^{o}[/tex]

Thus, the required bearing is 180 - 22 = 158

Therefore the distance and bearing required to fly to starting point are 1034.2 miles and [tex]158^{o}[/tex] respectively.

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Match the graph to the slope of that function
Choices:
-3/2
-1/2
2
-1/5
Also pls answer my other questions

Answers

For the first graph, slope = 1/5.

For the second graph, slope = -1/2.

For the third graph, slope = 2.

For the fourth graph, slope = 1.42.

What is the slope of the line?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

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

For the first graph, the coordinates will be (-15, 0) and (0, 3)

          Slope = 3 - 0/0-(-15)

                     = 3/15

            Slope = 1/5

For the second graph, the coordinates will be (0, 5) and (10, 0)

          Slope = 0 - 5/10- 0

                     = -5/10

            Slope = -1/2

For the third graph, the coordinates will be (2.5, 0) and (0, -5)

          Slope = -5-0/0 - 2.5

                     = -5/-2.5

            Slope = 2

For the fourth graph, the coordinates will be (-2.8, 0) and (0, 4)

          Slope = 4 - 0/0 - (-2.8)

                     = 4/2.8

            Slope = 1.42

Hence,

For the first graph, slope = 1/5.

For the second graph, slope = -1/2.

For the third graph, slope = 2.

For the fourth graph, slope = 1.42.

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Let a dilation be defined by a scale factor s and center of dilation (x,y). Each of the options below represents a dilation of a polygon according to the given values of s,x and y. Which of the following dilations produce an image congruent to its pre-image. Select all that apply.

Answers

s = 1, x = 0, y = 3 and s = 1, x = 2, y = 0 produce an image congruent to its pre-image so option C and D are correct

What is dilation?

Dilation is the increase or decrease in the size of a figure by a scale factor. Rigid transformations preserve the shape of a figure. Examples of rigid transformation are reflection, rotation and translation.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.

Enlargement is the term used when a dilatation results in a bigger picture.Reduction occurs when a dilatation results in a smaller picture.

Dilation is said to be a rigid transformation if the scale factor is equal to one.

Therefore the dilation by a scale factor of one produce an image congruent to its pre-image.

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18. what is the recommended minimum number of personnel needed to manage a hazardous materials incident safely? oe balances a stationary coin on the tip of his finger 2 m from the top of the floor. how much work is joe doing? Describe an action that members of the public who disagree with the holding in Easley v. Cromartie could take to limit its impact How many parameters does the create_frame function take? When grouping and identifying living things, the classification is based on what? select the highlighted passages that represent accurate descriptions of susan sheplers fieldwork in sierra leone. help with example 4!!! first answer gets brainliest an exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is currently 100 feet below the sea level. How deep was the diver 15 minutes ago? Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiahs Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiahs work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500. 5. What are the real and complex solutions of the polynomial equation? (1 point)x^3-8=001+i3, and 1-i3O2,-1+13, and-1-i3O2, 1+2i 3, and 1-2i 302, 2+2i 3, and 2-2i Which of the following statements concerning a face- centered cubic unit cell and the corresponding lattice, made up of identical atoms, is incorrect? A. If the atoms have radius r, then the length of the cube edge is 8 times f. B. The close-packed direction lies along the face diagonal of the unit cell. C. The coordination number of the atoms in the lattice is V8. D. There are four atoms per unit cell in this type of packing. E. All statements are correct. Fill in the blank. (Please help) A recipe calls for 3/2 cups of flour. You only have a 1/2 cup measuring cup. What fraction of a cup of flour, in halves, do you need? Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A.Select all of the measurement pairs that could be the dimensions of Rectangle B.4.5 inches by 1.5 inches8 inches by 2 inches10 inches by 4 inches13.5 inches by 4.5 inches90 inches by 30 inches (-4)7_____ this a fraction!(-1) QUICKKKKK!!Graph the image of the figure using the transformation given.91) translation: (x, y) (x+3, y-5)92.) translation: (x,y) (x,y -2)93) reflection across x = -294.) reflect across y = 195) rotation 180 about the origin96) rotation 90 counterclockwise about theoriginIll give you all the points just helppppp me outttt!! What is the value of t? Santiago meets the alchemist. Describe the circumstances and the alchemists appearance and demeanor. Then, relate the alchemist or his encounter with Santiago to something in real life or in another piece of fiction.1-2 paragraphs Match the pictures - elementmixturecompound? What effect did the Townshend Acts have on American colonies?They established new trade measures and prohibitions.They formed new peace treaties with Indigenous peoples.They drew a new boundary between French and English colonies.They created new taxes on American colonists.