200% of d is 18 what is d

Answers

Answer 1

Answer:

d = 9

Step-by-step explanation:

200% = double

aka 2d = 18

d = 9

Answer 2

Answer:

d = 9

Step-by-step explanation:

Of means multiply and is means equals

200% * d = 18

Changing to decimal form

2.00 * d = 18

Divide each side by 2

2d/2 = 18/2

d = 9


Related Questions

A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner

Answers

Answer: the distance from one corner of the field to the other corner is 136 m

Step-by-step explanation:

The distance from one corner to the other corner is the diagonal and it

divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 110² + 80²

d² = 12100 + 6400 = 18500

d = √18500

d = 136 meters

The distance from one corner of the football field to the other corner (the diagonal) is approximately 136.08 meters.

To find the distance from one corner of the football field to the other corner (the diagonal), we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the width of the football field is one side of the right triangle, the length of the football field is the other side, and the diagonal (the distance we want to find) is the hypotenuse.

According to the Pythagorean theorem:

[tex]\[ d^2 = w^2 + l^2 \][/tex]

[tex]\[ d^2 = 80^2 + 110^2 \][/tex]

[tex]\[ d^2 = 18500 \][/tex]

To find d, we take the square root of both sides:

[tex]\[ d = \sqrt{18500} \][/tex]

[tex]\[ d \approx 136.08 \][/tex]

Therefore, the distance from one corner of the football field to the other corner (the diagonal) is approximately 136.08 meters.

Some of the steps for completing the square to solve
x2 + 5x = 2 are shown.

x2 + 5x = 2

x2 + 5x + (StartFraction 5 Over 2 EndFraction) squared = 2 + (StartFraction 5 Over 2 EndFraction) squared

(x + StartFraction 5 Over 2 EndFraction) squared = StartFraction 33 Over 4 EndFraction

Which are solutions of x2 + 5x = 2? Check all that apply.

StartFraction 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 4 EndFraction
StartFraction 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction

Answers

Answer:

D and E

Step-by-step explanation:

StartFraction negative 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction

StartFraction negative 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction

❌ A.

❌ B.

❌ C.

✔   D.

✔   E.

What are the x-intercept of the graph y=(x-2)(x-6)

Answers

Answer:

x =2 and x = 6 are the x-intercepts

Step-by-step explanation:

The x -interepts mean  the value of x when y=0

so

y = 0 = (x - 2)(x - 6)

Here if we solve for x, we solve the x-intercepts.

0 = (x - 2) or  0 = (x - 6)

x = 2   or x = 6

The function crosses the x-axis at x = 2

y = (2-2)(2-6) = (0)(-4) = 0

Each of 5 gift bags contains X pencils.Tyler add 3 more pencil to each bag.together the gift pack contain 20 pencils.

Answers

Answer:

4.6

Step-by-step explanation:

5x +3 = 20

5x = 23

x = 4.6

There was only one pencil in each of the 5 gift bags.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that each of 5 gift bags contains {X} pencils. Tyler add 3 more pencil to each bag. Together the gift pack contain 20 pencils.

We can write the equation as -

5x + 3(5) = 20

5x + 15 = 20

5x = 5

x = 1

Therefore, there was only one pencil in each of the 5 gift bags.

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Anna calculated the area of parallelogram with a base of 72
5
m and a height of 2 m. Her work is shown here.

A = One-half b h = one-half (7 and two-fifths) (2) = one-half (StartFraction 35 Over 5 EndFraction) (StartFraction 2 Over 1 EndFraction) = StartFraction 70 Over 10 EndFraction = 7 meters squared

What errors did the student make? Select all that apply.
She used the incorrect area formula.
She substitute the values for the base and height incorrectly.
She converted the mixed number to an improper fraction incorrectly.
She multiplied incorrectly.
She simplified the fraction StartFraction 70 Over 10 EndFraction incorrectly.

Answers

Answer:

A and C

Step-by-step explanation:

i got it right on edge

Answer:A and CStep-by-step explanation:

Can someone please help me!!!! I’ll mark you brainiest if the answer is correct

Answers

Answer:

A is 210

B is volume

C is surface area

Answer: volume:390 ft cubed         surface area: 307 ft

volume then surface area

Step-by-step explanation: i did it already on ALEKS

Identify the 4 basic transformation

Answers

Answer:

Rotation, Reflection, dilation, and translation

Step-by-step explanation:

Rotation: Just rotating the shape; spinning the shape around a point

Reflection: Your shape is either reflecting on the x axis or y axis meaning it is either side by side (y) or up and down (x)

Dilation: Your shape is either going to shrink or get bigger

Translation: Shifting all the points of the figure

There were 75 roasted turkeys at Ally's Eats. Bob's Goods had 4/5 as many roasted turkeys as Ally's Eats. If Ally's Eats had 5/6 as many roasted turkeys as Charlotte's Market what was the average number of roasted turkeys owned by each of the three shops?

Answers

Answer:

Step-by-step explanation:

Roasted turkey in Ally's Eats = 75

Roasted turkey in Bob's goods  = 4 / 5 x  Ally's Eats

= (4 / 5) x 75

= 60

Roasted turkey in Charlotte's Market = N ( let )

Given

5/6  N  = 75

N = 6 / 5 x 75

= 90

Roasted turkey in Charlotte's Market  = 90 .

Final answer:

To find the average number of roasted turkeys owned by each of the three shops, add up the number of turkeys owned by all three shops and divide by the number of shops. In this case, the average is 75 turkeys.

Explanation:

To find the average number of roasted turkeys owned by each of the three shops, we need to calculate the total number of roasted turkeys owned by all three shops and then divide it by the number of shops.

First, we find the number of roasted turkeys owned by Bob's Goods, which is 4/5 * 75 = 60 turkeys.

Next, we find the number of roasted turkeys owned by Charlotte's Market, which is 75 / 5/6 = 90 turkeys.

Finally, we add up the number of turkeys owned by all three shops: 75 + 60 + 90 = 225 turkeys.

To find the average, we divide the total number of turkeys by the number of shops: 225 turkeys / 3 shops = 75 turkeys.

Therefore, the average number of roasted turkeys owned by each of the three shops is 75 turkeys.

Circle V is shown. Line segments Y V and W V are radii. Tangents Y X and W X intersect at point X outside of the circle. The length of V Y is 5. Angle V is a right angle.
What is the measure of circumscribed ∠X?

A 45
B 50
C 90
D 95

Answers

Answer:

the answer is 90 i just took  the test

Step-by-step explanation:

The turnout for a game is expected to reach 80,000 fans, of which 57% are expected to drive. An average of three fans come in each vehicle. 2,000 vehicles park in satellite lots. The rest of the vehicles parked in the stadium lot. How many vehicles parked in the stadium lot?(Round up.)

Answers

Answer: 13,200 vehicles

Step-by-step explanation:

Hi, to answer this question, first we have to calculate the number of people that will drive to the stadium, by multiplying the total number of fans (80,000) by the percentage in decimal form (57/100).

80,000 x (57/100) = 45,600

Since an average of three fans come in each vehicle, we have to divide the result by 3 to obtain the number of vehicles:

45,600/3 =15,200

Subtract the number of cars that parked in satellite lots.

15,200-2,000 = 13,200 vehicles

Answer: 13,200 rounded up to 13,000.

Step-by-step explanation:

The turnout for a game is expected to reach 80,000 fans, out of which 57% are expected to drive. The number of fans expected to drive will be:

= 57% of 80,000

= 0.57 × 80000

= 45600

An average of three fans come in each vehicle. The number of cars will be:

= 45600 ÷ 3

= 15200 cars

2,000 vehicles park in satellite lots and the rest of the vehicles parked in the stadium lot. Since there are 15200 cars, the number of cars in the stadium lot will be:

= 15,200 - 2,000

= 13, 200

Rounding up 13,200 will give 13,000.

How much fencing is required to enclose a circular garden whose diameter is 287m?

Answers

Answer:

Step-by-step explanation:

Enclosing something with fencing is a perimeter thing.  Since we are dealing with a circle, we need the circumference instead, which is the same thing, different formula.

[tex]C=\pi d[/tex]

Filling in with the diameter of 287 m:

[tex]C=\pi (287)[/tex]  or you could just say that the circumference is

287π.  If you have to multiply in π, then the circumference is

901.18 m

Answer:

The answer to your question is 901.2 m

Step-by-step explanation:

Data

Perimeter = ?

diameter = 287 m

Process

1.- Calculate the radius of the garden

    radius = diameter/2

-Substitution

   radius = 287/2

-Result

   radius = 143.5 m

2.- Calculate the perimeter

Perimeter = 2πr

-Substitution

Perimeter = 2(3.14)(143.5)

-Simplification and result

Perimeter = 901.18 ≈ 901.2 m  

URGENT!!! for the given situation identify the independent and D pendant variable‘s and then find a reasonable domain and range of values listed below will be for statements that relate to the given situation. She’s is the statement that would have to be FALSE given the situation and it’s parameters
Roger has $12 to spend. He wants to buy some apples that cost $.60 apiece.
here are the statements
1) The dependent variable is how many apples he will buy
2) The range will be 0 to 20 apples
3) The domain will be any amount of money less than $12
4) The independent variable is how much money he will spend

Answers

Answer:

3

Step-by-step explanation:

in order to be correct, it would have to be "any amount of money less than or equal to $12" because if it were less then, that makes the maximum amount he can spend $11.99.

Which statement can be represented by the equation
x+9=97
A. Two-fifths of nine is a number.
B. Two-fifths of a number is nine.
C. Nine more than two-fifths of a number is nine.
D. A number plus nine is the same as two-fifths of nine.

Answers

Answer:

d ik

Step-by-step explanation:

Answer:

Nine more than two-fifths of a number is nine.

Step-by-step explanation:

that is the only one that makes sense.

Using the linear combination method, what is the solution to the system of linear equations 7 x minus 2 y = negative 20 and 9 x + 4 y = negative 6?

Answers

Answer:

(- 2, 3 )

Step-by-step explanation:

Given the 2 equations

7x - 2y = - 20 → (1)

9x + 4y = - 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the term in y

14x - 4y = - 40 → (3)

Add (2) and (3) term by term to eliminate the term in y

23x = - 46 ( divide both sides by 23 )

x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (2)

9(- 2) + 4y = - 6

- 18 + 4y = - 6 ( add 18 to both sides )

4y = 12 ( divide both sides by 4 )

y = 3

Solution is (- 2, 3 )

The required solution of the given simultaneous equation is x = -2 and y = 3.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Given equations,
7x - 2y = -20 - - - - - (1)

9x + 4y = -6 - - - - - (2)

Multiply equation 1 with 2 and add both equations,
14x - 4y  + 9x + 4y = -40 - 6
23x = -46
x = -2

Now,
7(-2) - 2y = -20
-2y = -6
y = 3

Thus, the required solution of the given simultaneous equation is x = -2 and y = 3.

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Determine the probability of the event, given the following information. Express as a reduced fraction.

A drawer contains 30 pens of various colors: 4 are black, 10 are blue, 3 are red, 6 are green, 6 are blue and red, and 1 is white

A green pen is removed from the drawer and replaced before a black pen is removed.

Answers

Answer:

2/75

Step-by-step explanation:

6 of the 30 pens are green, so the probability of selecting a green pen is 6/30 = 1/5.

The pen is then replaced, so there are still 30 pens in the drawer.  4 of the pens are black, so the probability of selecting a black pen is 4/30 = 2/15.

The probability of both events is therefore 1/5 × 2/15 = 2/75.

two trains leave the station at the same time, one heading west and the other east. the westbound train travels at 80 miles per hour. the eastbound train travels at 60 miles per hour. how long will it take for the two trains to be 392 miles apart? do not do any rounding.​

Answers

Answer:

let this happens after t hours

so

80t + 60t = 392

140 t = 392

t = 392/140

=2.8 hours

Answer:

ok the train goes 60+80=140 in 1 hour

140+140=280 2 hours

392-280=112

112/ the 60 miles and 80 miles is .80% of the hour so

60*.80=48 and 80*.80=64

48+64=112 so the trains will be 392 miles apart in 2.8 hours

Step-by-step explanation:

Solve the inequality and graph the solution g-3>6

Answers

Answer: It should be g > 9

Step-by-step explanation:

-Solve:

[tex]g-3>6[/tex]

[tex]g-3+3>6+3[/tex]

[tex]g>9[/tex]

So, Therefore, the result is g > 9

The solution to the inequality is g > 9.

Here, we have,

To solve the inequality g - 3 > 6, we will isolate the variable g.

Adding 3 to both sides of the inequality, we get:

g - 3 + 3 > 6 + 3

Simplifying, we have:

g > 9

So, the solution to the inequality is g > 9.

To graph the solution on a number line, we represent all values of g that are greater than 9. We can denote this by shading the region to the right of 9 on the number line.

Here's a graphical representation:

    ------------------------>

    -8 -7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 ...

                o

                |

                |

                |

In this representation, the open circle (o) indicates that 9 itself is not included in the solution since the inequality is strict (g > 9). The shaded region represents all values of g that are greater than 9.

Please note that the number line extends indefinitely in both directions, but only the relevant portion is shown here for clarity.

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HELP PLEASE! i'm struggling a lot!

Answers

Answer:

she will buy 11 pounds of candy

She will by 11 pounds of candy. Hope this helps :)

jazzy...if u are there.....say something...testing testing.....A box contains different-colored marbles that are all the same size. The table below shows the colors and amount of each marble in the box:

Color of Marble Number
Red4
Blue8
Green3
Pink5
Allen selects a marble from the box randomly, without looking, and then tosses a fair coin. What is the probability that Allen will select a red marble and the coin will land heads up?

Answers

Answer:

i think that is because, that if u order them it is going to be 3,4,5,8

and probably he has a chance of 5 or 4

Step-by-step explanation:

The probability that Allen will select a red marble and the coin will land heads up is 1/10.

To find the probability that Allen will select a red marble and the coin will land heads up, we need to consider two independent events: selecting a red marble and tossing a fair coin.

The probability of selecting a red marble is the number of red marbles (4) divided by the total number of marbles in the box (4 + 8 + 3 + 5 = 20):

Probability of selecting a red marble = 4/20 = 1/5.

The probability of the coin landing heads up is 1/2 since it's a fair coin.

Now, to find the probability of both events occurring together (selecting a red marble and getting heads up), we multiply the probabilities of each event:

Probability of selecting a red marble and getting heads up = (1/5) * (1/2) = 1/10.

So, the probability that Allen will select a red marble and the coin will land heads up is 1/10.

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You bought a video game for
$50, but it loses 25% of its value
every six months. How much
will the video game be worth
after two years?​

Answers

Answer: $0

Step-by-step explanation:

every six months means the game loses 25%*2 per year = 50%

2 years would be 50%*2 = 100%

Therefore, if the game loses 100% of its value in 2 years, it will be free.

A long-distance company charges a $5 per month line fee plus $0.25 per minute for long distance phone calls. Write and solve an equation to determine how many minutes someone spent on long distance calls if their bill is $26.

Answers

Answer:

84 minutes       (1 hr and 24 mins)

Step-by-step explanation:

If the bill is $26, then that is what the equation will be equal to.$5 fee will be added$0.25 is 'per minute' so this is the number with the [tex]x[/tex]

Let's put it together:

26 = 5 + .25[tex]x[/tex]

Subtract the 5...

21 = .25[tex]x[/tex]

Divide...

[tex]\frac{21}{.25} = 84[/tex]

If you buy a necklace for $400 on your credit card, which charges 21.3% simple
interest, how much interest will be added after 15 months?
$85.20
$266.25
$100.00
$106.50
Previous par

Answers

Answer:

106.50

Step-by-step explanation:

just did it

Final answer:

To calculate the simple interest on a $400 necklace purchase with a 21.3% interest rate after 15 months, use the simple interest formula I = PRT, resulting in an interest of $106.50.

Explanation:

To calculate the simple interest added to a $400 necklace purchase with a credit card charging 21.3% simple interest after 15 months, you can use the formula for simple interest: I = PRT, where I is the interest, P is the principal amount (initial loan balance), R is the rate of interest per year, and T is the time in years. In this question, P = $400, R = 21.3% or 0.213, and T = 15/12 years (to convert months to years).

First, convert the interest rate to a decimal by dividing by 100:

R = 21.3% \/ 100 = 0.213

Next, convert the time from months to years:

T = 15 months \/ 12 = 1.25 years

Finally, calculate the simple interest:

I = P times R times T

I = $400 times 0.213 times 1.25

I = $106.50

Therefore, the interest added after 15 months would be $106.50.

I need help with answering this question

Answers

It’s 3.665 radians.

What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 2:3?

Answers

Answer: it’s either -5 or 5 I just took the test

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

When a product is raised to a power, it is equal to the product of each factor raised to that power. Show that this rule does not apply for a sum or difference to a power using the problem (5 – 3)2. You may indicate an exponent in your answer with ^. For example, 3x2 as 3x^2.

Answers

Answer:

In this instance you would do what is inside the parentheses first and then use the exponent. Therefore it would be 3^2 and your answer is 9.

Step-by-step explanation:

Final answer:

The rule for raising a product to a power does not apply to sums or differences because [tex](5 - 3)^2[/tex] correctly calculated is 4, not 16 as incorrectly applying the rule to the sum would suggest (25 – 9).

Explanation:

The rule that when a product is raised to a power, it is equal to the product of each factor raised to that power, does not apply to sums or differences. The example given is [tex](5 - 3)^2[/tex], if we incorrectly apply the rule to the sum, we might think [tex](5^2 - 3^2)[/tex] which is-

25 – 9 = 16

However, performing the operation correctly, we first do the sum inside the parentheses:

(5 – 3) = 2,

and then raise to the power:

[tex]2^2[/tex] = 4.

This clearly shows that raising a sum to a power is not the same as raising each term to the power and then summing.

King kyle orders the construction of his future mausoleum ( a fancy tomb) so that people never forget his awesomeness. His architect draws a floor plan depicting the mausoleum as a rectangle measuring 35 m by 40 m.

Answers

Answer:

okay  so,

so do a 16 by 14 rectangle it should be good

sry if its wrong i tried but i hope it helped ;0

Final answer:

The problem is regarding the calculation of the area of a rectangle, which in this case is a floor plan of a mausoleum. The area is calculated by multiplying the length and the width of the rectangle, yielding an area of 1400 square meters.

Explanation:

The problem provided is a concept of geometry and the specific topic is calculating the area of a rectangle. The area of a rectangle is calculated by multiplying its length and width. In the given problem, the length of the rectangle is 40 m and the width is 35 m.

To find the area, we perform the multiplication: Area = length x width = 40 m x 35 m = 1400 m². Therefore, the floor area of King Kyle's mausoleum, according to the architect's drawings, is 1400 square meters.

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Find the volume of a right circular cone that has a height of 12.7 cm and a base with a diameter of 18.9 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

1187.7

Step-by-step explanation:

V = (1/3)πr2h

Volume = 1187.67 cm³.

What is cone?

A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base. The distance from the vertex of the cone to the base is the height of the cone. The circular base has measured value of radius. And the length of the cone from apex to any point on the circumference of the base is the slant height.

Given,

Height of the cone (h) = 12.7cm

Diameter of the circular base(d) = 18.9cm

Radius (r) = d/2 = 18.9/2 = 9.45cm

Volume of the cone

V = 1/3πr²h

V = 1/3×3.14159×9.45×9.45×12.7

V = 1187.66946

V = 1187.67 cm³

Hence the volume of the cone is 1187.67 cm³.

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The radius of a circle is 5 m. Find its area to the nearest tenth.

Answers

The area would be 78.54

Step-by-step explanation:

Here's why:

By using the area of a circle formula, you should plug in the radius and get the following of:

π5^2 = 78.539...

If you round to the nearest tenth you would get the answer of 78.54.

A farmer sells 7.7 kilograms of apples and pears at the farmer's market. 3 4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

Pears weight = 1.925 kgs

Step-by-step explanation:

Total weight of apples & pears = 7.7kg

Apples weight = 3/4th of total weight

= ( 3/4 ) x ( 7.7 )

= 5.775

So, remaining pears weight = Total weight - Apples weight

= 7.7 - 5.775

= 1.925

Final answer:

The farmer sold 1.925 kilograms of pears at the farmer's market.

Explanation:

A farmer sells 7.7 kilograms of apples and pears at the farmer's market. To find out how many kilograms of pears were sold, we need to calculate the remainder that is not apples.

Since ¾ of the weight is apples, we have:

¾ of 7.7 kg = ¾ * 7.7 = 5.775 kg (apples)Total weight - apples = pears7.7 kg - 5.775 kg = 1.925 kg (pears)

Therefore, the farmer sold 1.925 kilograms of pears at the farmer's market.

what is an equation of the line that passes through the points (-8,-4) and (-6,-5)?

Answers

Answer:

y=-2x-20

Step-by-step explanation:

y=mx+b

m=(y2-y1)/(x2-x1)

m=(-5+4)/(-6+8)

m=-1/2

y=-1/2x+b

-4=-1/2(-8)+b

-4=4+b

-8=b

y=-1/2x-8

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What relationship exists between genes and chromosomes? Frank has twice as many CDs as Vanessa. Lois has 4 less than 2 times as many CDs as Frank. If there is a total of 115 CDs for all 3 people, how many CDs does each person have? i need help look at my screen shot for more info on my question. When a car is first observed it has a speed of 20 ms-1. after a time of 10 S it is observed that the speed is 50 MS-1 PLEASE ADD THE MISSING WORDPenetration pricing is suitable for products with ??????? anticipated lifecycle Consider the graph that represents the following quadratic equation.y=-1/3(x+2)^2+5--the graph opens:-downward-upward--the vertex of the graph is:-(2,5)-(-2,-5)-(-2,5)--the axis of symmetry of the graph is:-x=2-x=-2 Your friend has designed a study to examine sexual arousal among male and female college students to erotic or nonerotic movies. A simple main effect of the type of movie would analyze whether the arousal level is different for ______. 17. a) Ula jest dwa razy modsza od Oli i o 4 lata starsza od Ali. Razem te trzydziewczynki maj 24 lata. Ile lat ma kada z nich?b) Tata Zosi jest od niej 3 razy starszy, a Zosia jest od niego modsza o 30 lat.Ile lat ma Zosia?c) Julek i Asia s w sumie o 6 lat starsi od Michaa, ale kade z nich z osobnajest od niego modsze: Julek o 7 lat, Asia o 2 lata. Ile lat maj wszyscy razem? Daje Naj za odpowied dan za godzin maks Suppose ACT Reading scores are normally distributed with a mean of 21.3 and a standard deviation of 5.9. A university plans to award scholarships to students whose scores are in the top 7%. What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary. The buffer in a bad-news message is a a. statement completely unrelated to the bad news so that receivers will not know that bad news is coming. b. hint that good news will follow. c. denial of the requested action. d. statement that reduces shock or pain and encourages the receiver to continue reading. 8. Some mutations can help an organism surviveTrue or false The area of a triangle that is similar to the one below is the area of this triangle. What is the length of the base of the similar triangle? 2.3 ft 3.3 ft 7 ft 63 ft What is 3/2 times 14 Philadelphia Acoustics builds innovative speakers for music and home theater systems. Identify each cost as variable (V), fixed (F), or mixed (M), relative to number of speakers produced and sold 1. Units of production depreciation on routers used to cut wood enclosures. 2. Wood for speaker enclosures. 3. Patents on crossover relays. 4. Total compensation to salesperson who receives a salary plus a commission based on meeting sales goals 5. Crossover relays . 6. Straight-line depreciation on manufacturing plant . 7. Grill cloth. 8. Cell phone costs of salesperson 9. Glue 10. Quality inspector's salary Tigers and lions are ---1--- nature's ---2-- predators. A grizzly bear may be larger than a Siberian tiger, but the tiger is far moreagile and quick. A wolf may have a better sense of smell than a jaguar, but a jaguar can handle large prey alone while wolveshunt in packs. Cats have excellent night vision, sharp hearing and enormous physical strength. They sneak up on their prey; thecamouflage patterns in their fur and their graceful, subtle movements ---3---the cats difficult to detectThe antecedent of the pronoun their in the last sentence of section 1 isles )rodentsB)big cats.small cats.small prey A jet departs from an airport flying east. At the same time, a second jet departs from the same airport flying west at a speed of 20 miles per hour slower than the first jet. After 1.5 hours, the planes are 1,500 miles apart. What is the speed in miles per hour of the jet traveling east?A. 300B. 750C. 510D. 490 I need to find the line of the slope that passes through the points (-2,3) and (-14,-5) answer in simplest form Who's fame rests on Spoon River Anthology published in 1914? Which of these is true about vaccines?AThey prevent viruses from replicating once you are infected.BThey are not effective at giving people immunity against a virus.CThey cause the body to produce antibodies against a specific virus.DThey cause the body to become actively infected with a mild form of a specific virus. If a solution containing 118.08 g of mercury(II) chlorate is allowed to react completely with a solution containing 16.642 g of sodium sulfide, how many grams of solid precipitate will form