In the spinner below, the large wedges are twice the size of the smaller ones. What is true about the probability of landing on 2 and the probability of landing on 3?


A.The probability of landing on 2 is half the probability of landing on 3.
B.The probabilities cannot be predicted.
C.The probabilities are equal.
D.The probability of landing on 2 is twice the probability of landing on 3.

In The Spinner Below, The Large Wedges Are Twice The Size Of The Smaller Ones. What Is True About The

Answers

Answer 1

Answer:

C

Step-by-step explanation:

I would like to say c because it could land on anyone at any given time. I wish I knew a definite answer.

Answer 2

Answer:

The probability of landing on two is twice the probability of landing on 3.

Step-by-step explanation:

The reason for this is because the section 2 is twice the size of section 3 it means that the probability of landing on two is twice the probability of landing on number 3.


Related Questions

In which number does the digit 2 have a value that is 1/10 times as great as the digit 2 in the number 6,257.11

Answers

Answer:

7,326.64

Step-by-step explanation:

20 is 1/10 times as great as 200.

A number that satisfies this equation is 26

What is a decimal number?

A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32 etc.

Given here the number 6,257.11 , here the digit 2 is in the 100th place hence it is equivalent to 200 and 1/10 th of 200 is 20 . Thus any number with its tenth place with digit 2 is acceptable and 26 is one such number.

Hence, the number is  26

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2.5 \dfrac{\text{g}}{\text{cm}^3}2.5 cm 3 g ​ 2, point, 5, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction.

Answers

Answer:

bojdsvj

Step-by-step explanation:dvsDV

I sorry lol i need points :/

Find the distance between the points given. (-3, -4) and (0, 0) -5 √(22) 5

Answers

Distance between the points (-3, -4)  is  5

Step-by-step explanation:

Given

points =(-3,-4) and (0,0)

To Find:

The Distance between the two given points =?

Solution:

[tex]Distance =\sqrt{(x2-x1)^2+(y2-y1)^2 }[/tex]

where

[tex](x_1, y_1)[/tex] = coordinates of the first point

[tex](x_2, y_2)[/tex] = coordinates of the second point

So here, we have  

[tex]x_1[/tex] = -3

[tex]y_1[/tex] = -4

[tex]x_2[/tex]  = 0

[tex]y_2[/tex] = 0

So, after putting the values of [tex]x_1[/tex] , [tex]y_1[/tex] , [tex]x_2[/tex] [tex]y_2[/tex]   in the above equation,  we have  

[tex]Distance=\sqrt{(0+3)^2+(0+4)^2 }[/tex]

[tex]Distance=\sqrt{(3)^2+(4)^2 }[/tex]

[tex]Distance=\sqrt{(9)+(16) }[/tex]

[tex]Distance=\sqrt{(25)}[/tex]

Distance = 5

Angle Cis an inscribed angle of circle P. Angle C measures (3x+5)^arc AB measures (16x)^arc. Find X.

Answers

Answer:

x=1

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises

so

In this problem

m∠C=(1/2)arc AB

we have

m∠C=(3x+5)°

arc AB=(16x)°

substitute the values

[tex](3x+5)\°=(1/2)(16x)\°[/tex]

solve for x

[tex]3x+5=8x\\8x-3x=5\\5x=5\\x=1[/tex]

There are 5 bacteria in a petri dish at the start of an experiment. This type of bacteria doubles every 20 minutes.

Find the number of bacteria after 4 hours.

40

10,240

20,480

40,960

Answers

Answer:

The next answer is 3 hours

Step-by-step explanation:

I just did it on edge 2021 :)

Answer:

the first answer is c

Step-by-step explanation:

How many cubes with side lengths of 1/2 cm does it take to fill the prism? Height: 3/2 cm Width:1 cm length: 2 cm

Answers

Answer:

24

Step-by-step explanation:

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with [tex]\frac{1}{2}[/tex] cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.

Width is 1 cm, so there can fit 2 cubes of length [tex]\frac{1}{2}[/tex] cm and length is 2 cm, where 4 cubes of length [tex]\frac{1}{2}[/tex] cm can fit. So, in total (4 × 2) = 8 cubes of [tex]\frac{1}{2}[/tex] cm length.

Now, height of the prism is [tex]\frac{3}{2}[/tex] cm where 3 cubes of length [tex]\frac{1}{2}[/tex] cm can fit.

Therefore, in total there can be (8 × 3) = 24 cubes of [tex]\frac{1}{2}[/tex] cm length. (Answer)

Answer:

24 cubes

Step-by-step explanation:

Please see the pictures below:  

(I hope this helped! :) )

Solve: -7(3+6x)=9(-5x+7)

Answers

Answer:

x=28

Step-by-step explanation:

-7(3+6x)=9(-5x+7)

-21-42x=-45x+63

-21-42x-(-45x)=63

-21-42x+45x=63

-21+3x=63

3x=63-(-21)

3x=63+21

3x=84

x=84/3

x=28

Answer:

x=28

Step-by-step explanation:

-7(3+6x) = 9(-5x+7)

-21-42x=-45x+63

-42x=-45x+84

3x=84

x=28

what is the square root of 25/64

Answers

The square root of 25/64=5/8

The value of square root of 25/64 will be;

⇒ 5/8

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The number is,

⇒ square root of 25/64

⇒ √(25 / 64)

Now,

Since, The number is,

⇒ √25/64

⇒ √ (5×5 / 8×8)

⇒ 5 / 8

Thus, The value of √ 25/64 = 5/8

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An element with mass 820 grams decays by 26.8% per minute. How much of the element is remaining after 18 minutes, to the nearest 10th of a gram?

Answers

Answer:

3.0 grams of the element are left after 18 minutes

Step-by-step explanation:

Recall that an exponential decay that can be studied with the following formula for the amount of material (A) as a function of time (t):

[tex]A(t)=A_0(1-r)^t[/tex]

where:

[tex]A_0[/tex] is the starting amount of the substance (in our case 820 grams)

r is the rate of decay (which in our case given as 26.8% can be written in decimal form as 0.268

and t is the time in minutes (in our case t = 18 minutes)

Then we have:

[tex]A(t)=A_0(1-r)^t\\A(18)=820*(1-0.268)^18\\A(18)=820*(0.732)^18\\\\A(18)=2.985\,grams[/tex]

which can be rounded to 3.0 grams

Answer: 3.0

Step-by-step explanation:

a=820

r= rate= 26.8%=0.268

b=1-r=1-0.268=0.732

y=820(0.732)^18

y=2.985474

y=3

If a truck holds 200 cubic feet of asphalt, how many truckloads do you need for covering a road that is 500 feet long by 20 feet wide, with a 6-inch-thick layer of asphalt?

Answers

Answer:

1

Step-by-step explanation:

A company rents two storage units. Both units are cube-shaped. what is the difference in volume of the two storage units? note that the volume of a cube is s cubed where s is the side length explained

Answers

The question is missing the figure. So, the figure is attached below.

Answer:

237.375 ft³

Step-by-step explanation:

Given:

Side length of bigger cube is, [tex]S_1=8\ ft[/tex]

Side length of smaller cube is, [tex]S_2=6.5\ ft[/tex]

Now, volume of the bigger storage unit is given as:

[tex]V_1=S_1^3\\V_1=S_1\times S_1\times S_1\\V_1=8\times 8\times 8=512\ ft^3[/tex]

Volume of the smaller storage unit is given as:

[tex]V_2=S_2^3\\V_2=S_2\times S_2\times S_2\\V_2=6.5\times 6.5\times 6.5=274.625\ ft^3[/tex]

Now, difference in the volume of the two storage units is given as:

[tex]V_1-V_2=512-274.625=237.375\ ft^3[/tex]

Therefore, the difference in their volumes is 237.375 ft³.

Final answer:

To find the difference in volume between two cube-shaped storage units, determine the length of one side for each cube, calculate their volumes with the formula 'Volume = side length cubed', and subtract one volume from the other.

Explanation:

To calculate the difference in volume between the two cube-shaped storage units, follow these steps:

Obtain the side length (s) of each cube.Calculate the volume (V) of each cube using the formula V = s^3. This equation is derived from the standard SI unit of volume which is a cubic meter (m³). This means that the volume of a cube is equal to the length of one side cubed.Subtract one volume from the other to find the difference.

For example, let's assume the side length of cube 1 is 2 meters and the side length of cube 2 is 3 meters. The volume of cube 1 will be 2^3 or 8 m³ and the volume of cube 2 will be 3^3 or 27 m³. The difference in volume between the two cubes would be 27 m³ - 8 m³ = 19 m³.

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PLEASE HELP! I NEED TO GET THIS DONE SOON!


Given: Circle O, diameter, marked perpendicular, Chord BC= 10,
find x

Answers

Answer:6

Step-by-step explanation:

In a circle, a radius perpendicular to a chord bisects the chord. So BC = CA BC = 6 (given) x (or AC) = 6 Answer = 6. Tell me if I was right. Thanks.

Answer:

it's 6

Step-by-step explanation:

i need help on this plZ


Answers

Answer:

1. See the attached figure to this answer.

2. Lines A and B are parallel to each other.

3. Line Z is the transversal.

4. The same side interior angles are ∠ 4, ∠ 6 & ∠ 3, ∠ 5.

5. The alternate interior angles are ∠ 3, ∠ 6 & ∠ 4, ∠5

6. Corresponding angles are ∠ 1, ∠ 6 & ∠ 2, ∠ 5 & ∠ 3, ∠ 7 & ∠ 4, ∠ 8.

7. Alternate interior angles are ∠ 4, ∠ 5 & ∠ 3, ∠ 6 (Answer)

Step-by-step explanation:

1. See the attached figure to this answer.

2. Lines A and B are parallel to each other.

3. Line Z is the transversal.

4. The same side interior angles are ∠ 4, ∠ 6 & ∠ 3, ∠ 5.

5. The alternate interior angles are ∠ 3, ∠ 6 & ∠ 4, ∠5

6. Corresponding angles are ∠ 1, ∠ 6 & ∠ 2, ∠ 5 & ∠ 3, ∠ 7 & ∠ 4, ∠ 8.

7. Alternate interior angles are ∠ 4, ∠ 5 & ∠ 3, ∠ 6 (Answer)

Answer:

The answers are below:

Step-by-step explanation:

Answer 1: Attachment.

Answer 2: Line A is parallel to line B.

Answer 3: Line Z is a Traversal.

Answer 4:

[tex]\angle 3 \ and \ \angle 5\ and\\ \angle 4 \ and \ \angle 6\\[/tex] are the same side interior angles.

Answer 5:

[tex]\angle 3 \ and \ \angle 6\ and\\ \angle 4 \ and \ \angle 5\\[/tex] are the alternate interior angles.

Answer 6:

[tex]\angle 3 \ and \ \angle 7\ and\\ \angle 4 \ and \ \angle 8\\[/tex][tex]\angle 6 \ and \ \angle 1\ and\\ \angle 5 \ and \ \angle 2\\[/tex] are corresponding pair angles.

Answer 7:

[tex]\angle 8 \ and \ \angle 2\ and\\ \angle 7 \ and \ \angle 1\\[/tex]are the alternate exterior pair angles.

Evaluate the given algebraic expression for x = 7 and y = 3. 2x + 2y 10 20 23 15

Answers

Answer: 20

Step-by-step explanation:

x = 7

y = 3

2x + 2y = 2(x + y)

2(7+3) = 2 • 10 = 20

Answer:

20

Step-by-step explanation:

2(7) + 2(3)

14 + 6

20

A metalworker has a metal alloy that is 20% copper and another alloy that is 70% copper. How many kilograms of each alloy should the metalworker combine to create 60 kg of a 50% copper alloy? The metal worker should use (blank) kilograms of the metal alloy that is 20% copper and (blank) kilograms of the metal alloy that is 70% copper.​

Answers

X+Y=60kg

X=60-Y

X*0.2+Y*0.7=60*0.5

(60-Y)*0.2+Y*0.7=30

12-0.2*Y+0.7*Y=30

0.5*Y=18

Y=36 kg

X=60-36

X=24 kg

The metal worker should use 24 kilograms of the metal alloy that is 20% copper and 36 kilograms of the metal alloy that is 70% copper.

Answer:

36kg 24kg

Step-by-step explanation:

PLZZZ HELP ME.I WOULD RLLY APPRECIATE IT
this is alegbra 1 so if your rlly good at that please help me, the problem is about systems of linear equations

question: Jack and Julio each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store.
Jack spent $22 on 1 daylily and 5 geraniums. Julio spent $30 on 13 daylilies and 1 geranium. Find the cost of one daylily.​

Answers

Answer:

$2

Step-by-step explanation:

x = daylily

y = geranium

1x + 5y = 22

13x + 1y = 30

Multiply second equation by 5 and subtract the two equations.

1x + 5y = 22

- (65x + 5y = 150)

-64x = -128

x = 2

So one daylily costs 2 dollars

a buyer spend $164 for two loads of mulch at $22.50 per load $35 worth of flowers and 42 landscaping blocks. fine the cost per block

Answers

Answer:

The cost per block was about 45$

Step-by-step explanation:

I think so, but dont believe it... I may be wrong. Please mark me brainliest

Final answer:

The buyer spent $2 per landscaping block.

Explanation:

Firstly, we need to find out how much money was spent on the landscaping blocks. Given that the buyer spent $164 for two loads of mulch at $22.50 per load and $35 worth of flowers, subtract the total cost of the mulch and flowers from the total amount spent. This gives us:

($22.50 x 2) + $35 =$80 spent on mulch and flowers. Therefore, $164 - $80 = $84 spent on landscaping blocks.

Finally, find the cost per block, by dividing the total amount spent on blocks by the number of blocks. So, $84 / 42 blocks = $2 per block.

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The graph shows g(x), which is a translation of f(x) = x^2. Write the function rule for g(x). Show step by step.

Points on nonlinear graph are (9,10) (5,10) (7,6).

Answers

Using the given points, solve for a, h, k in  g(x) = [tex]a(x - h)^2[/tex] + k . The function rule is  g(x) = [tex]a(x - h)^2[/tex] + k .

To find the function rule for g(x), which is a translation of the quadratic function[tex]\( f(x) = x^2 \)[/tex], we need to determine the horizontal and vertical shifts based on the given points on the graph. The general form for a translated quadratic function is [tex]\( g(x) = a(x - h)^2 + k \)[/tex], where (h, k) represents the vertex of the parabola.

Let's use the given points (9,10), (5,10), and (7,6) to find the translation values.

1. Vertex Form of Quadratic Function:

The vertex form of a quadratic function is [tex]\( f(x) = a(x - h)^2 + k \)[/tex], where (h, k) is the vertex. Let's find the vertex using the given points.

For (9,10):

[tex]\[ 10 = a(9 - h)^2 + k \][/tex]

For (5,10):

[tex]\[ 10 = a(5 - h)^2 + k \][/tex]

For (7,6):

[tex]\[ 6 = a(7 - h)^2 + k \][/tex]

2. Solve the System of Equations:

Solve the system of equations to find the values of  a ,  h , and  k .

3. Substitute into Vertex Form:

Once you find the values of  a ,  h , and  k , substitute them into the vertex form g(x) = [tex]a(x - h)^2[/tex] + k.

By following these steps, you'll obtain the function rule for g(x), which is a translation of  [tex]f(x) = x^2[/tex]  based on the given points on the graph.

PPPPPPPPPPLLLLLLLLLLLLZZZZZZZZ HHHHEEELLLPPP 3(9 - 7)² + 5 × 2

Answers

Answer:

22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Laura drew the triangle shown below. Side A is 7.8 cm in length. Side C is 9.5 cm in length. What is the measure of angle x, in degrees?

Answers

Answer:

55.19 degrees

Step-by-step explanation:

See the given diagram of the triangle attached to this question.

This is a right triangle and one of its angles other than 90° is x degrees.

Now, if we assume c is the hypotenuse and a is the perpendicular, then we can write that  

[tex]\sin x = \frac{\textrm{Perpendicular}}{\textrm {Hypotenuse}} = \frac{a}{c}[/tex]

Now, it is given that a = 7.8 cm and c = 9.5 cm.

Therefore, [tex]\sin x = \frac{7.8}{9.5} = 0.821[/tex]

⇒ [tex]x = \sin^{-1} (0.821) = 55.19[/tex] degrees. (Answer)

for two weeks the highest temperature each day was recorded in four different cities lines l,m,n, and p are graphs of the temperature over time in Lubbock, Memphis, New Orleans, and phoenix which statement is true

Answers

As per the graphical diagram, the largest temperature for each day was recorded in four different cities shows n in lines 1 and m

The temperature in four different cities such as Lubbock, New Orleans, Phoenix, and Memphis is shown where Memphis is the only city that has the highest temperature. As the initial temperature of  Lubbock is lower than Memphis the initial temperature is the on Y-axis. The line of Memphis slopes downward which shows a decrease in temperature while the line of other cities is loping upwards.

Hence the option B is correct.

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Question # 4
1) Brett is 18 years younger than Mark Carl is 10 years younger
than Mark. The sum of the ages of Brett, Mark, and Carl is 212
How old are each of the 3 men? explain in your own words of how u get the answer​

Answers

Ages of Mark, Brett and Carl are 80 years, 60 years and 70 years respectively.

Solution:

Given that

Brett is 18 years younger than Mark.

Carl is 10 years younger than Mark.

The sum of the ages of Brett, Mark, and Carl is 212

Need to determine age of Brett, Mark, and Carl.

Let assume age of mark in years be represented by variable x

As it is given that Brett is 18 years younger than Mark , so if we subtract 18 from the age of Mark we will get age of Brett ,

=> Age of Brett = x – 18

Also given that Carl is 10 years younger than Mark , so if we subtract 10 from the age of Mark we will get age of Carl ,

=> Age of Carl = x – 10

Given sum of ages of Brett, Mark, and Carl is 212

=> Age of Mark + Age of Brett + Age of Carl = 212

=> x + ( x – 18 ) + ( x – 10) = 212

=> 3x – 28 = 212

=> 3x = 212 + 28

Age of Mark = x = 80 years

Age of Brett = x – 18 = 80 – 18 = 62 years

Age of Carl = x – 10 = 80 – 10 = 70 years

Hence Ages of Mark , Brett and Carl are 80 years, 60 years and 70 years respectively.

ABCD is a trapezoid with mid-segment (E f). If Ad=5x-11, E f=3x+7, Bc=2x+7, how many units in length is (E f) i need equation, algebra procedures, value of x, and length of (E f)

Answers

Answer:

x = 18

Step-by-step explanation:

The length of the midsection is the sum of the two bases divided by 2. Remember that the bases of a trapezoid are the two parallel sides. So that means:

((5x - 11) + (2x + 7)) /2 = 3x + 7

Simplify ((5x - 11) + (2x + 7)) /2:

(5x - 11) + (2x + 7) /2 = (5x + 2x - 11 + 7) /2 = (7x - 4) /2

Therefore:

(7x - 4) /2 = 3x + 7

Now solve this simultaneous equation:

7x - 4 = 6x + 14

7x = 6x + 18

x = 18

What are the lengths of KN and KL.?

Answers

I think the answer is 90 degrees because both triangles are 90, but you're only finding KN and KL which is on ONE triangle not both. SO there's a 90 degree angle on the top triangle. So I'd go with 90, but I could be wrong.

Which equation is equivalent to 2 4x = 8x-3

Answers

Answer:

x = -9

Step-by-step explanation:

the equation is 2^4x = 8^x - 3.

therefore 2^4x = 2^3(x-3)

since both have powers of 2

therefore

4x = 3(x-3)

4x = 3x - 9

4x -3x = -9

x = -9

Answer:

D) 2^4x=2^3x-9

Step-by-step explanation:

took quiz

For 3 and 4 find the slope of the line that passes through the given points

Answers

Attach a picture for the question

1. What are transition metals?

Answers

Answer:

Any of the set of metallic elements occupying a central block (Groups IVB–VIII, IB, and IIB, or 4–12) in the periodic table, e.g., iron, manganese, chromium, and copper. Chemically they show variable valence and a strong tendency to form coordination compounds, and many of their compounds are colored.

Step-by-step explanation:

Ed stein paid $40.00 interes tonaloan
OF $2,000 for 3 months
what's the rate of interest hepaid?

Answers

Answer:

The rate of interest paid on the principal amount is 8%.

Step-by-step explanation:

Here, Principal Amount = $2,000

Time = 3 months = (3/ 12 ) Years = 0.25 years

Rate = R

Interest Amount  = $40

Now, as we know :

Simple Interest  = [tex]\frac{P \times R \times T}{100}[/tex]

⇒[tex]40  = \frac{2,000 \times R \times 0.25}{100}\\\implies R = \frac{40 \times 100}{2000 \times 0.25}   =8[/tex]

or, R = 8%

Hence, the rate of interest paid is 8%.

a. Which mix would make the most “appley” juice? Explain your
reasoning

Answers

Final answer:

To make the most 'appley' juice, use a mixture with a high percentage of pure apple juice and minimal amounts of other ingredients.

Explanation:

To make the most "appley" juice, you would want to use a mixture that has a high concentration of apple juice. In this case, the best choice would be a mixture with a high percentage of pure apple juice and minimal amounts of other ingredients. This would ensure that the flavor of the juice is predominantly apple.

For example, a mixture with 90% apple juice and 10% other fruit juices would have a strong apple flavor. On the other hand, a mixture with 50% apple juice and 50% other fruit juices would have a less pronounced apple taste.

By experimenting with different ratios of apple juice to other ingredients, you can find the mixture that results in the most "appley" juice.

In Dale's cooler there are 9 bottles of soda and 6 bottles of water.
Dale is going to choose 8 bottles at random from the cooler to give to his friends.

What is the probability that he will choose 5 sodas and 3 waters? Round your answer to three decimal places.

Answers

Answer:

5/18??? might be wrong

Step-by-step explanation:

The probability that Dale will choose 5 sodas and 3 water is 0.391 and this can be determined by using the concept of probability.

Given :

In Dale's cooler, there are 9 bottles of soda and 6 bottles of water. Dale is going to choose 8 bottles at random from the cooler to give to his friends.

The following steps can be used in order to determine the probability that he will choose 5 sodas and 3 water:

Step 1 - The concept of probability is used in order to determine the probability that he will choose 5 sodas and 3 water.

Step 2 - First, determine the total number of bottles.

Total Bottles = 9 + 6

                      = 15

Step 3 - So, the probability that he will choose 5 sodas and 3 water is:

[tex]\rm P = \dfrac{\;^9C_5 \times ^6C_3}{\;^{15}C_8}[/tex]

Step 4 - Simplify the above expression.

[tex]\rm P = \dfrac{126 \times 20}{6435}[/tex]

P = 0.391

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What is NOT an example of a speech milestone?A. Using past tenseB. Retelling a storyC. Washing one's own handsD. Following a series of directions The formula for converting Celsius temperatures to Fahrenheit temperatures is a linear equation. Water freezes at 0C, or 32F and it boils at 100C, or 212F. Find the slope and y-intercept for a graph that gives degrees Celsius on the horizontal axis and degrees Fahrenheit on the vertical axis. Then write an equation in slope-intercept form that converts degrees Celsius into degrees Fahrenheit The taxi ride costs 18.00 (mop). Now convert this to US Dollars. Here's the convertion fact: 1 US Dollar=7.98 MOP. The graph shows the height,h, in inches, of a plant after d days. The plant had a height of 4 inches after 6 days. Which equation can you use to represent the situation? ________ involve impairments in personality that cause great distress to an individual or impair his or her ability to get along with others, and the presence of pathological traits such as excessive hostility or callousness. (1) _____ Angela porque (2) ____ da y noche.(3) ____ que (4) ___ un resfriado, pero se (5) ___ bastante saludable.Se (6) ____ de la biblioteca despus de poco tiempo porque les (7) ____ a los otros estudiantes.Sus amigas, Laura y Petra, siempre le (8) ____ que (9) ____ alguna alergia.Por fin, decidi hacerse un examen mdico. La doctora le dijo que ella (10) ____ alrgica y que (11) ___ muchas medicinas para las alergias. Kramerica Industries is a AAA-rated company that needs to fund a project with an estimated life of 10 years. It can borrow at a fixed rate of 8.75% or it can borrow at a floating rate of 3-month LIBOR. Vandelay Industries is a BBB-rated company that also needs to borrow for 10 years. It can borrow at a fixed rate of 10.50% or it can borrow at a floating rate of3-month LIBOR + .25%. Produce a swap quote that reduces the borrowing costs of both Kramerica and Vandelay Industries, and makes a spread for the swap bank, Super Terrific National Bank.Show how much each company saves and how much is made by STNB A sprinkler sprays water over a distance of 40 feet and rotates through an angle of 80 degrees. find the area watered by the sprinkler.A: 1117.01 ft^2B: 558.51 ft^2C: 111.70 ft^2D: 55.85 ft^2PLEASE HELP I WILL GIVE BRAINLIEST!! TEST GRADE AND TEST IS TIMED! How many decigrams are in 4.6 decagrams?0.0046 decigrams0.046 decigrams460 decigrams4,600 decigrams The value of China's exports of automobiles and parts (in billions of dollars) is approximately f ( x ) = 1.8208 e .3387 x , where x = 0 corresponds to 1998. In what year did/will the exports reach $12.3 billion? A frictionless piston-cylinder device contains 4.5 kg of nitrogen at 110 kPa and 200 K. Nitrogen is now compressed slowly according to the relation PV1.5 = constant until it reaches a final temperature of 360 K. Calculate the work input during the process, in kJ. In triangle abc , side BC is 3 inches long and side AB is 16 inches long. Angle A measures 20 . Given that angle C is an obtuse angle, find the measure of angle C. Round to the nearest tenth of a degree An individual experiences a deep cut that severs the radial artery near the elbow. Ignoring air resistance, approximately how high will the blood spurt? (Hints: the specific gravity of blood is 1.050 g cm-3 and the specific gravity of mercury is 13.6 g cm-3 ) 1. Qu ___ en la biblioteca, Jos?2. _____ un libro que necesito para el examen.3. Dnde _____ entradas (entradas) para partidos de ftbol?4. Nosotros ______ boletos a la oficina de la escuela.5. Quin_____ la excursin?6. I______, me gusta mucho esa ciudad.7. Qu equipo______ Manuel y Pedro?8. Pedro______ a los Medias Rojas y Manuel_____ a los Yankees de Nueva York. On December 31, Mercury Corporation has the following data available: Net Income $ 190,000 Interest expense 40,000 Total assets at the beginning of the year 800,000Total assets at the end of the year 760,000 Total common stockholders' equity at the beginning of the year 530,000 Total common stockholders' equity at the end of the year 490,000 What is return on equity? (Round your final answer to two decimal places, X.XX%) Which court in the federal system is the court of last resort Write a quadratic function to model the graph to the right An empty rubber balloon has a mass of 12.5 g. The balloon is filled with helium at a density of 0.181 kg/m3. At this density the balloon has a radius of 0.498 m. If the filled balloon is fastened to a vertical line, what is the tension in the line? The density of air is 1.29 kg/m3. A railroad tank car contains milk and rolls at a constant speed along a level track. The milk begins to leak out the bottom. The car then a. Need more information about the rate of the leak. b. maintains a constant speed. c. speeds up. d. slows down. A square sticky note has sides that are 15 centimeters long. What is the area of the sticky note?