Please answer this correctly

Please Answer This Correctly

Answers

Answer 1

Answer:

8

Step-by-step explanation:

18(4/3)=24

6(4/3)=h

h=8

Answer 2

Answer:

h = 8

Step-by-step explanation:

These shapes are similar, so you can set up a proportion to solve for h:

[tex]\frac{24}{18}= \frac{h}{6}[/tex]

Cross multiply:

[tex]\frac{144}{18h}[/tex]

Divide 144 by 18:

h = 8


Related Questions

Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. The host then says to you, "Do you want to pick door No. 2 instead of door No. 1?" Is it to your advantage to switch your choice?

Answers

Answer:

I think it is to my advantage to switch my choice to door 2.

Step-by-step explanation:

Under the normal circumstances, switching to another choice has increased one,s chances to getting a car which is 2/3 and just sticking to a choice gets one 1/3.

Since we already have a vague idea bout what is already behind doors 1 and 3, I think it is to my advantage to switch my choice to door 2.

In the diagram, m 23 = 120° and mZ12 = 80°. Which
angle measures are correct? Check all that apply.
1
2
mZ1 = 60°
V
9 10
11 12
4
e
m2 13 = 80
56
13 14
m26 = 80
7
8 15 16
f
m25 = 60°
Om Z10 = 120°
'c
d
m2 14 = 100
Intro
Done
4 of 8

Answers

Answer:

A,B,D,F

Step-by-step explanation:

The angle measures that are true are:

m∠1 = 60

m∠13 = 80

m∠5 = 60

m∠14 = 100

What are corresponding angles?

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

m∠3 = 120

m∠12 = 80

Now,

1)

m∠1 = 60 (true)

m∠1 + m∠3 = 180

So,

m∠1 = 180 - 120 = 60

2)

m∠13 = 80 (true)

m∠12 and m∠13 are alternate angles.

So,

m∠13 = 80

3)

m∠6 = 80 ( false)

m∠6 and m∠3 are alternate angles.

So,

m∠6 = 120

4)

m∠5 = 60 (true)

m∠5 + m∠3 = 180

m∠5 = 180 - 120 = 60

5)

m∠10= 120 (false)

m∠10 + m∠12 = 180

m∠10 = 180 - 80 = 100

6)

m∠14 = 100 (true)

m∠14 + m∠12  = 180

m∠12 = 180 - 80 = 100

Thus,

The angle measures that are true are:

m∠1 = 60

m∠13 = 80

m∠5 = 60

m∠14 = 100

Learn more about corresponding angles here:

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Which expression is equivalent to 4 (x + 2)? 6 x 4 (x) + 4 (2) 4 (x) + 4 8x

Answers

Answer:

4x+8 or 4 (x) + 4 (2)

Step-by-step explanation:

Hope it helps.

Answer:

B

Step-by-step explanation:

4(x+2).

By expanding the expression we have;

4(x+2) = 4× x + 4× 2 = 4(x) + 4(2)

A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for Pi. Round the answer to two decimal places.) 32.71 Inches cubed 65.42 Inches cubed 196.25 Inches cubed 588.75 Inches cubed

Answers

Answer:

[tex] V =\frac{1}{3} \pi r^2 h[/tex]

And replacing we got:

[tex] V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3[/tex]

And the best option would be:

65.42 Inches cubed

Step-by-step explanation:

For this case we have the following info given:

[tex] h =2.5 in[/tex] represent the height of the cone

[tex] r = 5 in[/tex] represent the radius

And the volume of the cone is given by;

[tex] V =\frac{1}{3} \pi r^2 h[/tex]

And replacing we got:

[tex] V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3[/tex]

And the best option would be:

65.42 Inches cubed

Answer:

32.71 Inches cubed

Step-by-step explanation:

Let's recall the volume of the cone to be = 1/3πr³h

So using the formula.

r= 5

h = 2.5

I = 3.14

Volume = 1/3 * 3.14 * 5³ * 2.5

Volume = 327.1 in³

what is -5 + 4 please send help

Answers

Answer:

The answer is -1

Hope this helped :3

-1 ...........................

Jane is using a sextant to measure her distance from a building of height 270 feet. Her eyes
are 5 feet 3 inches above the ground. The angle of elevation from her viewpoint using the
sextant is 40°. How far away, measured to the nearest foot, is Jane from the building?
a) 221 feet b) 203 feet c) 170 feet d) 316 feet e) none of these.

Answers

Answer:

d) 316 feet

Step-by-step explanation:

Now 3 Inches = 0.25 feet

Therefore:  5 feet 3 inches =5.25 feet

The problem forms a right triangle in which the height of the triangle

= 270 -5.25  =264.75 feet.

Using Trigonometric ratios

[tex]\tan 40^\circ=\dfrac{264.75}{y} \\$Cross multiply\\y\tan 40^\circ=264.75\\y=264.75 \div \tan 40^\circ\\y=315.5$ feet[/tex]

Therefore, Jane is approximately 316 feet from the building.

Answer: d) 316 feet

Step-by-step explanation:

A right angled triangle ABC is formed.

BC represents the height of the building minus the height of Jane's eyes from the ground. AB represents Jane's distance from the building.

12 inches = 1 feet

3 inches = 3/12 = 0.25 feet

Therefore, the height of her eyes from the ground is 5 + 0.25 = 5.25 feet

Therefore, BC = 270 - 5.25 = 264.75 feet

To determine AB, we would apply the the tan trigonometric ratio which is expressed as

Tan# = opposite side/adjacent side

Tan 40 = 264.75/AB

AB = 264.75/tan40

AB = 264.75/0.839

AB = 316 feet

What transformations were applied to ABC to obtain A'B'C'?

Answers

Answer: rotated 90 degrees counterclockwise and shifted 2 units up.

Step-by-step explanation:

Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the equation? Then, which operation must be performed to isolate the variable? The solution to the equation is x = .

Answers

Answer:

x=-0.4

Step-by-step explanation:

We have the equation:

[tex]-9x+0.4=4[/tex]

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

[tex]-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6[/tex]

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

[tex]-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4[/tex]

Thus, the answer to this equation is x= -0.4

Answer:

a)

Subtract 0.4 from both side.

-9x +0.4 = 4

-9x + 0.4 - 0.4 = 4 - 0.4

-9x = 3.6

b)

divide by -9 both side

-9x/-9 = 3.6/-9

x = -0.4

Step-by-step explanation:

-9x+0.4=4

    -0.4  -0.4

_______________

-9x=3.6

__    __

-9     -9

________________

x=-0.4

AM really good !

Step-by-step explanation:

Two planes, which are 2235 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 3 hours, what is the speed of each?

Answers

Answer:

325 mph and 420 mph

Step-by-step explanation:

If the speed of the slower plane is x, then the speed of the faster plane is x + 95.

The distance traveled by the slower plane is 3x.

The distance traveled by the faster plane is 3(x + 95).

The total distance is 2235 miles.

3x + 3(x + 95) = 2235

3x + 3x + 285 = 2235

6x = 1950

x = 325

x + 95 = 420

The speed of the planes is 325 mph and 420 mph.

After sitting out of a refrigerator for a while, a turkey at room temperature 71 f is placed into an oven. The oven temperature is 325 f. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven.


The turkey reaches the temperature of 117 f after 1.5 hours. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 4.5 hours.

Answers

Answer: The value of k to the nearest thousandth is -0.133

The of the turkey to the nearest degree after 4.5 hours is 186F

Step-by-step explanation: Please see the attachments below

Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders.

Answers

Answer:

The size will be "431".

Step-by-step explanation:

On assuming:

P1 = 0.5

P2 = 0.5

Now,

[tex]q1=1-p1[/tex]

    [tex]=1-0.5[/tex]

    [tex]=0.5[/tex]

and,

[tex]q2=1-p2[/tex]

    [tex]=1-0.5[/tex]

    [tex]=0.5[/tex]

Margin's error will be,

E = 0.07

For 96% CI critical will be:

Z = 2.054

So,

Sample size = [tex](p1q1+p2q2)\times (\frac{Z}{E})^2[/tex]

On putting the estimated values, we get

                     = [tex](0.5\times 0.5+0.5\times 0.5)\times (\frac{2.054}{0.07})^2[/tex]

                     = [tex](0.25+0.25)\times (29.3)^2[/tex]

                     = [tex](0.5)\times (858.49)[/tex]

                     = 431

What is the equation for Graph B? Use C for hours in class and S for hours studying. Use * to indicate multiplication

Answers

Answer:

[tex]S=\frac{C}{2}[/tex]

Step-by-step explanation:

From the graph B,

Let the equation of the line representing the relation between hours spent in studying 'S' and hours spent in class 'C' is,

S = mC + b

Where m = Slope of the line

b = y-intercept of the line

We choose two points (2, 1), and (4, 2) lying on the line.

Slope 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{2-1}{4-2}[/tex]

m = [tex]\frac{1}{2}[/tex]

y-intercept 'b' = 0

Equation of the line will be

S = [tex]\frac{1}{2}C[/tex]

What is the answer to 2(-2)+3(-5)

Answers

Answer:

-19

Step-by-step explanation:

2*(-2)+3(-5)=-4+(-15)= -19

The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the test are 148,102,152.What is the average of the extracted scores that are outliers

Answers

Answer:

102

Step-by-step explanation:

We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:

z = (x - m) / sd

In the first case x = 148:

z = (148 - 128.5) /8.2

z = 2.37

In the second case x = 102:

z = (102 - 128.5) /8.2

z = -3.23

In the first case x = 152:

z = (152 - 128.5) /8.2

z = 2.86

The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.

A 65 ft. long swimming pool is to be constructed. The pool will be 4 ft. deep at one end and 11 ft. deep at the other. To the nearest degree, what will be the measure of the acute angle the bottom of the pool makes with the wall at the deep end

Answers

Answer:

Measure of the acute angle = 84°

Step-by-step explanation:

In the figure attached,

ABDE is a swimming pool having length 'AB' = 65 feet

Depth of one end of the pool is BE = 4 feet

And depth of the other end AD = 11 feet

Acute angle between the bottom of the pool (DE) and wall of the deep end (AD) is ∠ADE.

Now from ΔCDE,

tanx = [tex]\frac{EC}{DC}[/tex]

tanx = [tex]\frac{7}{65}[/tex]

x = [tex]\text{tan}^{-1}(\frac{7}{65})[/tex]

x = 6.15°

Now measure of acute angle the bottom of the pool makes with wall at he deep end,

m∠ADE = (90 - 6.15)°

             = 83.85°

             ≈ 84°

(geometry) PLZ HELP ASAP!

Answers

Answer:

About 25.1 cubic meters

Step-by-step explanation:

The diameter of a circle is twice the radius, meaning that the radius of the base of this cone is 4/2=2 meters. The formula for the volume of a cone is:

[tex]V=\dfrac{1}{3} \pi r^2 h=\\\\\dfrac{1}{3} \cdot \pi \cdot 2^2 \cdot 6\approx 25.1[/tex]

Hope this helps!

The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly

Answers

Answer:

Step-by-step explanation:

The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly

What is the definition of an acute angle?

Answers

Answer:

Measure less 90 degrees

Step-by-step explanation:

Less than 90 degrees measure acute angle. 90 degrees in right corner. Obtuse corners are larger than 90 degrees

Hope this helps.

Answer: An angle less than 90 degrees

Step-by-step explanation:

An angle that is less than 90° is known as an acute angle. The acute angle is otherwise called the angle which is less than the right angle.

Which of the following terms describes a company's first sale of stock to the
public?
O A. Circular flow model
B. Debt financing
O C. Venture capital
D. Initial public offering​

Answers

Answer:

D. Initial public offering​

Step-by-step explanation:

A P E X

Your favorite team is in the World Series. You have assigned a probability of 63% that they will win the championship. Past records indicate that when teams win the championship, they win the first game of the series 72% of the time. When they lose the championship, they win the first game 27% of the time. The first game is over and your team has lost. What is the probability that they will win the World Series?

Answers

Answer:

0.3950

Step-by-step explanation:

Any team team will win the championship with probability 63% that is

P(W)=0.63

when teams win the championship, they win the first game of the series 72% of the time that is

P(F|W)=0.72

When they lose the championship, they win the first game 27% of the time.

P(F|W')=0.27

The probability that they will win the World Series when the first game is over and your team has lost that is

P(W|F')

Now, By Bayes theorem

[tex]\begin{array}{l}

P\left(W | F^{\prime}\right)=\frac{P\left(F^{\prime} | W\right) P(W)}{P\left(F^{\prime} | W\right) P(W)+P\left(F^{\prime} | W^{\prime}\right) P\left(W^{\prime}\right)} \\

\quad=\frac{[1-P(F | W)] P(W)}{[1-P(F | W)] P(W)+\left[1-P\left(F | W^{\prime}\right)\right][1-P(W)]} \\

\quad=\frac{[1-0.72] \times 0.63}{[1-0.72] \times 0.63+[1-0.27][1-0.63]} \\

\quad=\frac{0.28\times 0.63}{0.28\times 0.63+0.73 \times 0.37} \\

=0.3950\end{array}[/tex]

∆LMN ∼ ∆PON. What is the value of x? Select one: a. 28 1/3 b. 36 c. 20 d. 25

Answers

Answer:

Option B. 36

Step-by-step explanation:

From the figure attached,

ΔLMN ~ ΔPON

Therefore, corresponding sides of these similar triangles will be in the same ratio.

[tex]\frac{LM}{OP}=\frac{MN}{ON}=\frac{LN}{PN}[/tex]

[tex]\frac{LM}{OP}=\frac{MN}{ON}[/tex]

[tex]\frac{42}{14}=\frac{x}{12}[/tex]

x = [tex]\frac{42\times 12}{14}[/tex]

x = 36

Therefore, measure of side MN = x = 36 units

Option B. will be answer.

Want brainliest? Get this correct , What is one of the negative effects of globalization?

Answers

Answer:

B

Step-by-step explanation:

the reason is, i suffered it ;)

Students are designing a new town as part of a social studies project on urban planning. ey want to place the town’s high school at point A and the middle school at point B. they also plan to build roads that run directly from point A to the mall and from point B to the mall. the average cost to build a road in this area is $550,000 per mile. . c. Draw the road from point A to the mall and find its length. d. Draw the road from point B to the mall and find its length. e. How much farther from the mall is point B than point A? How much more will it cost to build the longer road?

Answers

Answer:

  c, d.  see attached

  e. about 2.96 miles; about $1.63 million

Step-by-step explanation:

e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:

  A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles

  B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles

The difference in distance is ...

  (BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles

The mall is about 2.96 miles farther from point B than from point A.

The additional cost is the difference in miles multiplied by the cost per mile:

  (2.96 mi)($0.550 M/mi) = $1.63 M

The additional cost of the longer road is about $1.63 million.

can plants the seed of one and a half inch below the ground​

Answers

Answer:

The plant is 2.5 inches above the ground!

Step-by-step explanation:

i just did it

Answer:

Could you please rephrase this?

Find the y and x intercept

Answers

Answer: See below

The line goes through -4 on the x-axis (horizontal line) and 0 on the y-axis. Therefore the x-intercept is (-4, 0)

The line goes through -8 on the y-axis (vertical line) and 0 on the x-axis. Therefore the y-intercept is (0, -8)

Cars lose value the farther they are driven. A random sample of


11


1111 cars for sale was taken. All


11


1111 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.

Answers

Complete Question

which on these linear equations best describe the given model

The description and diagram of the model is shown on the first uploaded image

Answer:

 The linear equation is [tex]y = -\frac{1}{4}x + 40[/tex]

Step-by-step explanation:

Generally a linear equation is mathematically represented as

       [tex]y = mx+c[/tex]

m is the slope which   can be obtained from the graph diagram as

             [tex]s = \frac{30 -20}{80 -40}[/tex]

             [tex]s = \frac{1}{4}[/tex]

Now this slope is a negative slope as seen from the diagram so

        [tex]s =-\frac{1}{4}[/tex]

The intercept is  40 as seen from the graph

So the linear equation is

        [tex]y = -\frac{1}{4}x + 40[/tex]

Answer:

sorry i need the points

Step-by-step explanation:

Aubrey is making cone-shaped hats for a birthday party. How much paper does Aubrey need for each hat? Use 3.14 for pi and round your answer to the nearest inch

Answers

Answer:

About 75 in²; Aubrey found the surface area of the cone and included the base.

Complete question:

Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.Cone with diameter six inches and slant height eight inches.What is the correct amount of paper Aubrey will need per hat? Explain Aubrey’s mistake. Use 3.14 for π and round to the nearest inch.

Step-by-step explanation:

Lateral surface area of a cone = Paper required to for each hat

Lateral surface area = πrl

where, r is radius of the cone and l is lateral height of the cone

Lateral surface area = π(3)(8)

                                = 75.36 square inches

                                ≈ 75 square inches

Therefore, total paper required for each cap is about 75 square inches.

Total surface area of the cone (Lateral area + Area of the base)

                                 = πr(r + l)

                                 = 3.14(3)(3 + 8)

                                 = 103.62

                                 ≈ 104 square inches.

Aubrey did a mistake by finding the total surface area (including base area) of the cone instead of lateral surface area.

Answer:

~75 in

Step-by-step explanation:

Find the median of the data. 12,33,18,28,29,12,17,4,2

Answers

Answer:

Step-by-step explanation:

2, 4, 12, 12, 17, 18, 28, 29, 33

(17+18)/2

35/2= 17.5 is the median

The median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

12, 33, 18, 28, 29, 12, 17, 4, 2

After arranging in accending orde:

2, 4, 12, 12, 17, 18, 28, 29, 33

As we can see the mid-value is 17

Median = 17

Thus, the median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.

Learn more about the median here:

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venona is solving the equation-3+4x=9 in order to isolate the variable term

Answers

Answer:

x = 3

Step-by-step explanation:

-3 + 4x = 9 .... add the 3 over

4x = 12 .... divide by 4

x = 3

If f(x) = 4x ^ 2 and g(x) = x + 1 , find (fg)(x) ).
a. 4x(x)
B. 4x ^ 3 + 4x ^ 2
C. 4(x + 1) ^ 2
D. 4x ^ 2 + 1

Answers

Answer:

[tex]\boxed{\sf \ C \ is \ the \ correct \ answer \ ! \ }[/tex]

Step-by-step explanation:

fog(x)=f(g(x))

so it comes

[tex]f(g(x))=f(x+1)=4(x+1)^2[/tex]

so C is the correct answer

Answer:

Option B

Step-by-step explanation:

[tex]f(x) = 4x^2\\g(x) = x+1[/tex]

Multiplying both will give us:

[tex](fg)(x) = 4x^2(x+1)[/tex]

=> [tex](fg)(x) = 4x^3+4x^2[/tex]

Other Questions
Solve the system of equations please:y=(x^2)+3x-6y=x+2 The first term in a sequence is 4. Each of the next terms in the sequence is 3 more than 2 times the term before. What are the third and fourth terms in the sequence? how did the english colonists frofit from the slave trade A DVD is on sale for $1.05 off. This is a 15% discount from the original price. Use an equation to find the originapriceO $16.05$15.75$10.50O $7.00 The Cheyenne Hotel in Big Sky, Montana, has accumulated records of the total electrical costs of the hotel and the number of occupancy-days over the last year. An occupancy-day represents a room rented out for one day. The hotel's business is highly seasonal, with peaks occurring during the ski season and in the summer. Month Occupancy- Days Electrical Costs January 3,250 $9,660 February 3,470 $10,185 March 3,660 $10,360 April 1,760 $6,160 May 1,350 $4,725 June 4,350 $11,575 July 3,280 $9,765 August 1,610 $5,635 September 700 $2,450 October 1,300 $4,550 November 1,640 $5,740 December 2,220 $7,770 Required: 1. Using the high-low method, estimate the fixed cost of electricity per month and the variable cost of electricity per occupancy-day. 2. What other factors other than occupacy-days are likely to affect the variation in electrical costs from month to month? A small block of mass 20.0 grams is moving to the right on a horizontal frictionless surface with a speed of 0.540 m/s. The block has a head-on elastic collision with a 40.0 gram block that is initially at rest. Since the collision is head-on, all velocities lie along the same line, both before and after the collision. (a) What is the speed of the 20.0 gram block after the collision Albinism is inherited as autosomal recessive trait. The frequency of the disease in the population equals to 1:20 000. Calculate frequency of heterozygotes in population. change the following into indirect speech 1 he said to me, you may die.2 they said, what a beautiful girl she is!"3 he said, it Is sunny day today.4 she said the earth revolves around the sun. Congratulations! You have just won the State Lottery. The lottery prize was advertised as an annuitized $80 million paid out in 20 equal annual payments beginning immediately. The annual payment is determined by dividing the advertised prize by the number of payments. You now have up to 60 days to determine whether to take the cash prize or the annuity A. If you were to choose the annuitized prize, how much would you receive each year? B. The cash prize is the present valuc of the annuity payments. If the interest rate used to calculate the cash prize is 70%, how much will you receive if you choose the cash prize option? C. Now suppose that, as many lotteries do, the annuitized cash flows will grow by 3% per year to keep up. with inflation, but they still add up to $80 million. If you took the annuitized cash prize instead, how much would you receive (before taxes)? HELP FAST PLSsssssssss A plant is heterozygous for height (Tt) and red flowers (RI). What possiblegametes will this plant produce?A. TR and tronlyB. Ttand Rr onlyC. T, t, R, and ronlyD. TR, Tr, te, and tr Which common effect of peer relationships is discussed in this reading? loss of closeness with friends and family loss of self-esteem increased emotional support during stressful times increased vulnerability and intimacy with family its C Which is a characteristic of the invasion novel In the story Uncle Marcos by Isabelle Allende, How did Claras house change when Uncle Marco came to visit?How does this change appeal to Clara? How did the rest of the family react to these changes? Shirley Paul's 2-stock portfolio has a total value of $100,000. $37,500 is invested in Stock A with a beta of 0.75 and the remainder is invested in Stock B with a beta of 1.42. What is her portfolio's beta If (x + 5) - 2(4x - 1) = 0, what is the value of x? Why do chemical reactions happen? Select the best match between the PROCESSES that create new topography and the FORMS that you are exposed to through media. This matching question all relates to volcanic features in Hawaii. Group of answer choices Vog combines the words volcanic and smog. Vog is air pollution produced when sulfur dioxide and other gases and particulates are erupted into the atmosphere. Interactions with moisture and sunlight tends to make the vog worse. In the case of the May 2018 eruptions of Kilauea, the vog is being transported by the dominant winds. Please study this NASA data Links to an external site. about vog movement and match it to the best answer. Which of the following would represent a proper scope for market testing?O A. Providing a limited number of the product to all potential retailoutletsB. Placing the product in only a few retail locations for only one retailchainC. Exposing a small group of individual consumers to the product atthe company officeD. Providing an unlimited number of the product to all interestedretailers The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is, where Irepresents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length ofthe rectangle?E:7 in.8 in.09 in.10 in.