A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 7 red marbles, 2 green marbles and 11 blue marbles. Predict how many red marbles are in the bag.

Answers

Answer 1

Answer:

35 red marbles

Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

Answer 2

Answer:

35 red marbles

Step-by-step explanation:

The total number of marbles the student recorded is 20

Now we have to make a ratio of red to the total number of marbles

That would be 7 : 20

After this, there will be a new ratio which is x : 100

Lastly we will solve for x making the equation 20x = 700, x = 35


Related Questions

Which expression is correctly written in scientific notation?

A. 398 x 10^1 B. 39.8 x 10^2

C. 3.98 x 10^4 D. .398 x 10^3


Need answer ASAP

Answers

Answer:

C. 3.98 x 10^4

Step-by-step explanation:

We are only allowed one non zero digit before the decimal

A. 398 x 10^1   3 non zero digits

B. 39.8 x 10^2   2 non zero digits

C. 3.98 x 10^4 1 non zero digit

D. .398 x 10^3  0 non zero digits

Answer is C :3.98x10^4

If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q = Question 3 options: A) 4x2 + 4x + 4 B) 4x2 – 4x – 4 C) 4x2 – 4x + 4 D) 4x2 + 4x – 4

Answers

Answer:

D) 4x2+4x=4

Step-by-step explanation:

3x2+x2=4x2

-x+5x=+4x

2-6=-4

Combine them for 4x2+4x-4

The correct expression will be 4x²+4x-4

What is expression?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given are two expression:- P = 3x²-x+2 and Q = x²+5x-6

On adding the given expressions, we get,

P+Q = 3x²-x+2+x²+5x-6

= 3x²+x²-x+5x+2-6

= 4x²+4x-4

Hence, P+Q = 4x²+4x-4

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A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b

Answers

The slope (change in y/change in x) of the line is (1560 - 1200)/(52 - 40), which is equal to 30. We can plug this into the equation y = mx + b using either the point (40, 1200) or (52, 1560). The slope is represented by m and the y - intercept by b. Therefore, the two possible equations you could use are:

1200 = 30(40) + b

or 1560 = 30(52) + b

Using either equation, you'll get that b is equal to 0, which makes sense in the context of the problem, since it's reasonable to expect that the labor expenses would be 0 for 0 hours worked.

Answer:

im pretty sure its C

Step-by-step explanation:

Hope this helped! :) Oh and I took the test on edge and got a good grade, but i didnt know if i got this right or wrong bc i couldnt look back at it

4x2 + 8x - 7 - (3x2 - X+9)​

Answers

Answer:

[tex] {x}^{2} + 9x - 16[/tex]

Step-by-step explanation:

[tex]4 {x}^{2} + 8x - 7 - (3 {x}^{2} - x + 9)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:

[tex]4 {x}^{2} + 8x - 7 - 3 {x}^{2} + x - 9[/tex]

Collect like terms

[tex]4 {x}^{2} - 3 {x}^{2} + 8x + x - 7 - 9[/tex]

[tex] {x}^{2} + 9x - 7 - 9[/tex]

Calculate

[tex] {x}^{2} + 9x - 16[/tex]

Hope this helps...

Good luck on your assignment...

......................................

Answers

Answer:

Towards the left

Step-by-step explanation:

Add
(5x^4+ 2x^3– 1)+(3x² – 3x + 3)

Answers

Answer:

5x^4+ 2x^3+3x² – 3x + 2

Step-by-step explanation:

(5x^4+ 2x^3– 1)+(3x² – 3x + 3)

Combine like terms

5x^4+ 2x^3+3x² – 3x + 3– 1

The only like terms are the constants

5x^4+ 2x^3+3x² – 3x + 2

Answer:

5x^4 + 2x^3 -3x^2 - 3x + 2

Step-by-step explanation:

Expanding out the brackets:

5x^4 + 2x^3 - 1 + 3x^2 - 3x + 3.

Simplifying gives

5x^4 + 2x^3 - 3x^2 - 3x + 2

Remember you can only add x's together if they have the same power. This makes sense why you can 2 to -1 because they are both the same power of x, x^0. (which equals 1 by default)

Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?

Answers

Answer:

210.8

Step-by-step explanation:

If f(x)= 2x2 + 3, then f(x - 1)=2x2 + 4x + 5.
True
False

Answers

Answer:

[tex]\boxed{\mathrm{True}}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2+3[/tex]

Put x = x -1

[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]

So, it is true.

Answer:

True

Step-by-step explanation:

The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.

Answers

Answer: [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Step-by-step explanation:

In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.

Also, CE = CD = radius

⇒ ∠CED = ∠CDE  ---(i)  [angles opposite to equal sides of triangle are equal]

Since radius makes a right angle with tangent.

So, ∠CDF = 90°

⇒ ∠CDE =∠CDF - ∠EDF

⇒ ∠CDE=  90° - 84°

⇒ ∠CDE = 6°

From (i) ∠CED =∠CDE = 6°

In ΔCDE

⇒∠CED + ∠CDE + ∠ECD =  180°

⇒ 6°+6°+ ∠ECD =  180°

⇒ 12°+ ∠ECD =  180°

⇒∠ECD =  180° - 12°

⇒∠ECD =  168°

Since , Angle measure of the central angle is equal to the measure of the intercepted arc.

Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]

⇒[tex]m\overbrace{ED}[/tex]=  168°

Hence,  [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Searches related to Leonard measured the mass of each pumpkin in his patch to the nearest tenth of a kilogram. He then created both a histogram and a box plot to display the same data (both diagrams are shown below). Which display can be used to find how many pumpkins had masses below 6.0 kilograms? Choose 1 answer: Which display can be used to find that the median mass was 8 kilograms?

Answers

Answer:

Masses Below 6: Histogram

Median Mass: Box Plot

Step-by-step explanation:

For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.

For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.

Brainilest Appreciated.


HELP ASAP!

Identify the outlier in the data set and then find the mean and median with and without the outlier.

4, 14, 5, 2, 16, 138, 11

If necessary, round your answers to the nearest tenth.



outlier = 4

mean with outlier = 27.1

median with outlier = 11

mean without outlier = 41.6

median without outlier = 12.5

outlier = 4

mean with outlier = 11

median with outlier = 27.1

mean without outlier = 8

median without outlier = 8.7

outlier = 138

mean with outlier = 27.1

median with outlier = 11

mean without outlier = 8.7

median without outlier = 8

outlier = 138

mean with outlier = 8.7

median with outlier = 8

mean without outlier = 27.1

median without outlier = 11

Answers

Answer:

C. outlier = 138

mean with outlier = 27.1

median with outlier = 11

mean without outlier = 8.7

median without outlier = 8

Step-by-step explanation:

Hey there!

Well if the outlier is 138 then we can cross out choices A and B.

So let's find the mean with and without the outlier.

With - 27.1

Without - 8.7

Median)

With - 11

Without - 8

By using this information we can conclude that the answer is C.

Hope this helps :)

If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x + 3) 2

Answers

Answer:

[tex]\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

50 points plus brainliest if you get the answer right! Compare the results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? Use four of your vocabulary words in your explanation.

Answers

The chance of rolling 7 is infinite, the difference of the rolls would not decrease nor increase

The words I’d use to describe: Infinite, Impossible, plausible and implausible (at the same time)

When rolling two six-sided dice, the theoretical probability of getting a sum of 7 is 6/36 = 1/6 since there are 6 ways to roll a 7 (see the list of sums below) out of 6*6 = 36 outcomes total.

1+6 = 72+5 = 73+4 = 74+3 = 75+2 = 76+1 = 7

The experimental probability is just whatever results you record when you roll the two dice yourself. This will vary person to person. At first, the experimental probability is likely not going to be close to what it theoretically should be. However, as the number of rolls increases, the experimental probability should slowly approach the theoretical value.

3^2x3^5x3^7 In index form

Answers

Answer:

[tex]3^{14}[/tex]

Step-by-step explanation:

Given the expression: [tex]3^2\times 3^5\times 3^7[/tex]

To simplify the expression, we apply the addition law of indices.

Given two index terms with the same base, [tex]a^x$ and a^y[/tex], their product:

[tex]a^x \times a^y=a^{x+y}[/tex]

Therefore, since we have the number 3 as the same base in all the terms:

[tex]3^2\times 3^5\times 3^7 =3^{2+5+7}\\\\=3^{14}[/tex]

Which an equation of a line that has a y-intercept at (0,0) (create your own slope)

Answers

Answer:

y = 3x

Step-by-step explanation:

Assume a slope of 3

The y intercept is 0

The slope intercept form of the equation is

y= mx+b where m is the slope and b is the y intercept

y =3x+0

y = 3x

(will mark brainliest if correct) find area and perimeter

Answers

Area:
216
Perimeter:
18

Answer:

32.137 cm squared **Answer varies on how you round for step 2**

Step-by-step explanation:

**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**

If the diameter is also 6 cm then the triangle would be isosceles .

1. Find the area of the triangle.

            Formula: (Base x Height) / 2

            = 6X6/2 = 18 cm squared

2. Find area of half-circle.

            Formula:  (πR^2)/2

            = (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared

3. Add the areas.

            18 + 14.137 = 32.137 cm squared.

When a figure appears to have depth as you look at it, it is called _____________.

Answers

Answer:

Step-by-step explanation:

Three-dimensional, or perspective view

The figure appears to have depth as you look at it, it is called Perception of Depth.

What is depth perception?

Depth perception is the way in which some animals, such as humans, can tell if a object is close or far away from them.

Depth perception is the ability that humans have to perceive depth. With depth perception animals are able to see something in three dimensions. The configuration of the eyes allows animals to see depth.

Having two eyes that is having binocular vision gives animals an accurate sense of depth.

Animals have evolved in such a way that gives us depth perception. In order for animals to survive in a three dimensional world depth perception is vital.

Learn more about depth perception, click;

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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?

Answers

Answer:

Step-by-step explanation:

Refer the answer of https://brainly.com/question/17115212

Answer:

14 units.

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

:



Which linear inequality is represented by the graph?

Answers

Answer:

y ≤ (1/2)x + 2

Step-by-step explanation:

Find the equation of the solid line.  It is immediately evident that the y-intercept is (0, 2).  The line also passes through (-4, 0).  Starting at (-4, 0), x (the run) increases by 4 to 0 and y (the rise) increases from 0 to 2.  Thus, the slope of this line is m = rise / run = 2/4, or m = 1/2.

Thus the equation of the line is y ≤ (1/2)x + 2.

Which value of x makes this equation true? 41 + x = 73 Math item stem image CLEAR CHECK 9 32 73 114

Answers

Answer:

32

Step-by-step explanation:

41+x=73

x=73-41

x=32


Given a line segment that contains the points A,B,& C in order, if AB = x + 12, and Bo2.4, and AC = 26, find x.

Answers

Answer:

x=11.6

Step-by-step explanation:

can someone help please? i’ll give brainliest

Answers

Answer:

Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.

Step-by-step explanation:

Let's define toppings as [tex]t[/tex].

If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.

[tex]9.25 + 0.75t[/tex]

If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).

9.25+0.75t ≤ 13.75

Now lets solve the equation.

We can subtract 9.25 from both sides, which gets us

0.75t ≤ 4.5

Now we can divide both sides by 0.75 to isolate t.

t ≤ 6

So, the maximum number of toppings you can order is 6.

Hope this helped!

Answer:

6

Step-by-step explanation:

so default for pizza is 9.25

and toppings vary depending on number so 0.75x

so I guess 9.25+0.75x<=13.75-variable

equation-9.25+0.75x=13.75

solve to get 0.75x=4.5

x is 6 not sure

Which of the following theorems verifies that HIJ= KLM?

Answers

Answer:

D

Step-by-step explanation:

We see that one corresponding angle and the hypotenuses of the right triangles are congruent so the answer is HA. (The H stands for hypotenuse and the A stands for angle.)

Answer:

[tex]\boxed{HA}[/tex]

Step-by-step explanation:

The theorem that verifies ΔHIJ ≅ ΔKLM is the HA (Hypotenuse-Angle Theorem) which shows that the hypotenuse and an acute angle are congruent to each other.

=> IJ ≅ LM (Hypotenuse)

=> ∠NIJ ≅ ∠KLM (Acute Angle)

Consider the trapezoid with given dimensions. Suppose it is dilated by a scale factor of
1
4
.

A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet.

What statements are true? Check all that apply.
The height of the new trapezoid will be 1 ft.
The height of the new trapezoid will be 16 ft.
The area of the new trapezoid is One-fourth times the area of the original trapezoid.
The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
The area of the new trapezoid is 4 times the area of the original trapezoid.

Answers

Answer: 1 & 4

Step-by-step explanation:

Just did it

Answer:

A.The height of the new trapezoid will be 1 ft.

D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.

Step-by-step explanation:

edg2020

Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?

Answers

Answer:

420 cents or $4.20

Step-by-step explanation:

if each egg is 10 cents then

U MULTIPLY 42*10=X

420=X

SO 420 CENTS OR 4.20$

HOPE I HELPED

CAN I GET BRAINLIEST PLS?

                 -ZYLYNN

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9 t 2 + 118 t + 115 . Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.

Answers

Answer:

A.) 24.08 seconds

B.) 825.42 metres

Step-by-step explanation:

function of time is given as

h ( t ) = − 4.9 t 2 + 118 t + 115 .

Where a = -4.9, b = 118, c = 115

Let's assume that the trajectory of the rocket is a perfect parabola.

The time t the rocket will reach its maximum height will be at the symmetry of the parabola.

t = -b/2a

Substitute b and a into the formula

t = -118/-2(4.9)

t = 118/9.8

t = 12.041 seconds

Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.

2t = 2 × 12.041 = 24.08 seconds

Therefore, the rocket splashes down after 24.08 seconds.

B.) At maximum height, time t = 12.041s

Substitute t for 12.041 in the function

h ( t ) = − 4.9 t 2 + 118 t + 115

h(t) = -4.9(12.041)^2 + 118(12.041) + 115

h(t) = -4.9(144.98) + 118(12.041) + 115

h(t) = -710.402 + 1420.82 + 115

h(t) = 825.42 metres

Therefore, the rocket get to the peak at 825.42 metres

You buy boxes of strawberries at the market. Each box cost $6. Write an equation for the number of dollars, d, you spend on b boxes. Yesterday, you purchased 2 boxes. Today you purchase 5 boxes. Place points on the graph to show your purchases yesterday and today.

Answers

Answer:

Heyyyy... Your ans!

Plz follow. Me..

Step-by-step explanation:

Answer:

Your answer is d=6b

Step-by-step explanation:

Fill in the table using this function rule.
y=-6x-1

Answers

Answer:

5, -1, -7, -31

Step-by-step explanation:

When you plug in x digits you get these numbers.

By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.

What is a linear function?

"A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents"

For the given situation,

The function is y=-6x-1.

Substitute the different values of x in function y, to obtain the value of y.

For x = -1,

[tex]y=-6(-1)-1[/tex]

⇒ [tex]y=5[/tex]

For x = 0,

[tex]y=-6(0)-1[/tex]

⇒ [tex]y=-1[/tex]

For x = 1,

[tex]y=-6(1)-1[/tex]

⇒ [tex]y=-7[/tex]

For x = 5,

[tex]y=-6(5)-1[/tex]

⇒ [tex]y=-31[/tex]

The table below shows the values of x and the function y.

Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.

Learn more about the linear functions here

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I need help finding which one is the dependent variable and the independent variable.
Why do grocery stores hire most younger people than older people?

Answers

Are these separate questions? The dependent variable relies or depends on the independent. For example, if the cost of something was 2$ per item then the defendant variable would be the cost because if you have 1,2, or 3 items the cost will change depending on that

Answer:

Younger ppl- Independent variable

Older ppl - Dependent variable

Step-by-step explanation:

Older ppl r old and need more attention and they r usually slow workers......Whereas ypung ppl r active and energetic and can do work a lot faster the old ppl

Dats the only answer dat came into my mind

Hope this helps....

Pls mark my answer as brainliest :)

A Magic Carpet is 12 feet long and 10 feet wide. However, only the purple part of the Magic Carpet has magic power. If the magic part is 2 feet wide, find the area of the magic part of the Magic Carpet.

Answers

Answer:

24 ft.

Step-by-step explanation:

2x12=24

Other Questions
Examine the data presented and find the statement that represents an inference or something rather than observation Help me please ty ty Which is the graph of linear inequality 6x + 2y > -10? Part A Each time you press F9 on your keyboard, you see an alternate life for Jacob, with his status for each age range shown as either alive or dead. If the dead were first to appear for the age range of 75 to 76, for example, this would mean that Jacob died between the ages of 75 and 76, or that he lived to be 75 years old. Press F9 on your keyboard five times and see how long Jacob lives in each of his alternate lives. How long did Jacob live each time? Part B The rest of the potential clients are similar to Jacob, but since theyve already lived parts of their lives, their status will always be alive for the age ranges that theyve already lived. For example, Carol is 44 years old, so no matter how many times you press F9 on your keyboard, Carols status will always be alive for all the age ranges up to 4344. Starting with the age range of 4445, however, there is the possibility that Carols status will be dead. Press F9 on your keyboard five more times and see how long Carol lives in each of her alternate lives. Remember that she will always live to be at least 44 years old, since she is already 44 years old. How long did Carol live each time? Part C Now you will find the percent survival of each of your eight clients to the end of his or her policy using the simulation in the spreadsheet. For each potential client, you will see whether he or she would be alive at the end of his or her policy. The cells in the spreadsheet that you should look at to determine this are highlighted in yellow. Next, go to the worksheet labeled Task 2b and record either alive or dead for the first trial. Once you do this, the All column will say yes if all the clients were alive at the end of their policies or no if all the clients were not alive at the end of their policies. Were all the clients alive at the end of their policies in the first trial? Part D Next, go back to the Task 2a worksheet, press F9, and repeat this process until you have recorded 20 trials in the Task 2b worksheet. In the Percent Survived row at the bottom of the table on the Task 2b worksheet, it will show the percentage of times each client survived to the end of his or her policy, and it will also show the percentage of times that all of the clients survived to the end of their respective policies. Check to see whether these percentages are in line with the probabilities that you calculated in questions 1 through 9 in Task 1. Now save your spreadsheet and submit it to your teacher using the drop box. Are your probabilities from the simulation close to the probabilities you originally calculated? Two assets have the following expected returns and standard deviations when the risk-free rate is 5%: Asset A: Expected return = 10% & SD = 20%Asset B: Expected return = 15% & SD = 27%An investor with a risk aversion of A = 3 would find that _________________ on a risk return basis.a. only Asset A is acceptableb. only Asset B is acceptablec. neither Asset A nor Asset B is acceptabled. both Asset A and Asset B are acceptable In the triangles, QR = DE and SR = FE. Triangles S Q R and F D E are shown. Angle S R Q is 62 degrees. Angle D E F is 50 degrees. Sides Q R and D E are congruent. Sides S R and F E are congruent. Which statement about the sides must be true? QS = DF DF < QS QS < DE SR = DE Psychology 1A Question: The components of the Type A personality that have been linked most closely to coronary heart disease are ___ and ___. Answer: aggression; horror amusement; humor anger; hostility apprehension; hospitality Please help me asap!!! John L. Lewis a. Republican candidate for President in 1932 b. director of the Tennessee Valley Authority c. Secretary of the Interior in the New Deal d. Secretary of Labor in the New Deal e. advisor of minority affairs to President Roosevelt f. leader of the Committee for Industrial Organization g. director of the Civil Works Administration h. Democratic candidate for President in 1932 1 2 3 4 5 6 7 8 9 10 TIME REMAINING 57:18 Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth? 13.0 units 28.8 units 31.2 units 33.8 units a lottery game has balls numbered 1 through 21. what is the probability of selecting a ball with a prime number on it or a 10 Which of the following is an organism whose cells each contain a membrane-bound nucleus?A. A eukaryote.B. A prokaryote.C. An animal.D. A plant. (1 mark)13.The time to finish a certain work decreases as the number of worker increasesin number. What kind of proportion is illustrated in the situation? Given the figure below, find the values of x and z. (ii) Atrader gets a profit of 20% by selling an item for 150. Find the buying in price.(iii) A bank charges 12% per annum on loans. If a person borrowed a loan of 20000 find the total amount that he has to repay after one year.(a) Six workers can build a wall in 10 days. At the same rate how manyworkers are needed to complet in 4 days.(c) How many extra workers to be employed ? Identify five key technologies/innovations and discuss their advantages and disadvantages to developing countries like Ghana. What led to the fading of the Ku Klux Klan s importance in the late 1920s? Many Americans realized that intolerance was wrong. Scandals involving the organization s leadership were widely publicized. It had achieved most of its goals. The federal government cracked down on it. In your opinion, what are the three most important components that should be included when writing a mission statement? Why? he Heinz and Kraft merger Group of answer choices may be allowed by the FAA may be allowed by the NEA may be allowed by the NRA may be allowed by the FTC Suppose that a 117.5 kg football player running at 6.5 m/s catches a 0.43 kg ball moving at a speed of 26.5 m/s with his feet off the ground, while both of them are moving horizontally.(a) Calculate the final speed of the player, in meters per second, if the ball and player are initially moving in the same direction. (b) Calculate the change in kinetic energy of the system, in joules, after the player catches the ball. (c) Calculate the final speed of the player, in meters per second, if the ball and player are initially moving in opposite directions. (d) Calculate the change in kinetic energy of the system, in joules, in this case.