If p(x)=5(x+1), what is the value of p(11)?​

Answers

Answer 1

Answer:

60

Step-by-step explanation:

Hello!

Since p(x) turns into p(11) we put 11 in for x

p(11) = 5(11 + 1)

Follow PEMDAS

p(11) = 5(12) = 60

The answer is 60

Hope this helps!

Answer 2

Answer:

5(11^2+1)+16

5(121+1)+16

5(122)+16

610+16

p(11)=626

The answer is 626

hoped i helped

Please rate me or leave a like


Related Questions

A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols.Choose the correct answer below.A. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at least 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≥3.5."B. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≤3.5."C. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is equal to 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ=3.5."D. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is not 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≠3.5."

Answers

Answer:

The correct option is (C).

Step-by-step explanation:

The claim made by the golf analyst is:

Claim: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes.

A standard deviation test is to be performed.

The hypothesis for the test will be defined as follows:

H₀: The standard deviation of the 18-hole scores for a golfer is 3.5 strokes, i.e. σ = 3.5.

Hₐ: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes, i.e. σ ≤ 3.5.

Thus, the correct option is (C).

if the probability of david passing his exam is 1/4 what is the probabilty of him failing​

Answers

Answer:

3/4

Step-by-step explanation:

4/4-1/4=3/4

i hoped this helped :)

Answer:

3/4

Step-by-step explanation:

-5r+8r+5 what is the anwser

Answers

Answer:

-5r + 8r +5

= (-5+8)r+5 (we can calculate number in same variabe)

= 3r +5

hope it helps ^°^

Answer:

3r + 5.

Step-by-step explanation:

-5r + 8r + 5

= 8r - 5r + 5

= 3r + 5.

Hope this helps!

Find the area of each polygon

Answers

Answer:

1. 66 ft²

2. 102 cm²

3. 35 in.²

4. 7.36 in.²

5. 60 in.²

6. 91 m²

7. 48 m²

5. 567 mm²

9. 255 m²

10. The side length of the square is 9 cm

The area of the square is 81 cm²

Step-by-step explanation:

1. The area of the parallelogram = 11 × 6 = 66 ft²

2. The area of the triangle = 1/2×12×17 = 102 cm²

3. The area of the trapezium = 1/2×(5 + 9)×5 = 35 in.²

4. The area of the triangle = 1/2×4.6×3.2 = 7.36 in.²

5. The area of the parallelogram = 10 × 6 = 60 in.²

6. The area of the trapezium = 1/2×(15 + 11)×7 = 91 m²

7. The area of the parallelogram = 8 × 6 = 48 m²

5. The area of the trapezium = 1/2×(27 + 36)×18 = 567 mm²

9. The height of the wall = 17 m - 8 m = 15 m

The area = 17 × 15 = 255 m²

10. The dimensions of a square with perimeter = 36 cm are;

Side length = 36/4 = 9 cm

The area of the square = 9 × 9 = 81 cm².

f(x) [tex]\sqrt{x-9}[/tex] ; g(x) = 8x - 13 Find f(g(x)).

Answers

Answer:

f(g(x)) = [tex]\sqrt{8x-22}[/tex]

Step-by-step explanation:

Substitute x = g(x) into f(x), that is

f(g(x))

= f(8x - 13)

= [tex]\sqrt{8x-13-9}[/tex]

= [tex]\sqrt{8x-22}[/tex]

Simplify (-8)2. please help

Answers

Answer:

-16

Step-by-step explanation:

This equation is showing -8 multiplied by 2, and when they are multiplied, the sum of those two numbers is -16.

Answer:

=-16

Step-by-step explanation:

(-8)2

= 2×-8

= -16

Find the value of x.

Answers

Answer:

70°

Step-by-step explanation:

an inscribed angle is half of the intercepted arc

arc = 2(15) = 30

1/2(x - 30 ) = 20

x - 30 = 40

x = 70

Solve for m 5m+35=70

Answers

Answer:

m=7

Step-by-step explanation:

subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.

Answer: m=7

Step-by-step explanation:

[tex]5m+35=70[/tex]

subtract 35 on both sides

[tex]5m+35-35=70-35[/tex]

[tex]5m=35[/tex]

divide 5 on both sides

[tex]35/5=7[/tex]

[tex]m=7[/tex]

Jorge’s monthly bill from his Internet service provider was $25. The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used. Find the number of hours that Jorge was charged for that month.

Answers

Answer:

10 hours for the month

Step-by-step explanation:

What you know: The total amount Jorge was charged for the month was $25

The base rate is $15

He gets charged $1 per each hour

Setting it up:

15+1h=25

(the 15 is the base rate, plus the 1 dollar per hour (h) which both add to the total of 25 dollars for the month)

Subtract 15 from both sides of the equation to get your variable by itself

1h=10

then divide the 1 on both sides to get h (hours) by itself

h=10

And there's your answer, 10 is the number of hours that Jorge was charged for the month

Hopefully this helped :))

Answer:

10

Step-by-step explanation:

$25 - $15 = $10

and its $1 per hour so the answer is 10hrs

write each number in scientific notation.



1,050,200

The number between 1 and 10:
The power of 10:
The number in scientific notation:

34,600

The number between 1 and 10:
The power of 10:
The number in scientific notation:

Answers

1,050,200

The number between 1 and 10: 1
The power of 10: 6
The number in scientific notation: 1.05^6 or 1.050200^6

34,600

The number between 1 and 10: 3
The power of 10: 4
The number in scientific notation: 3.46^4

rewrite 1/5:1/2 as a unit rate

Answers

Hey there! I'm happy to help!

The unit rate is how much stuff there is per 1 unit. All ratios can be rewritten as fractions, this one could be 0.2/0.5. The word per means divide, and fractions are basically dividing. So, we want the denominator to be 1.

To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.

0.2/0.5(2/2)=0.4/1

Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.

Have a wonderful day! :D

HELP ASAP WILL MARK BRAINLIEST!!!!!! Use the number line​ below, where ​RS=9y+2, ST = 4y+9 and RT = 115. a. What is the value of​ y? b. Find RS and ST. a. What is the value of​ y?

Answers

Answer: y = 7

Step-by-step explanation:

Select the correct answer. This set of ordered pairs defines a function. {(-49,7), (-56,8), (-63,9), (-70,10)} Which table represents the inverse of the function defined by the ordered pairs? A.

Answers

In the future, you should post all possible answer choices to have a complete post. However, there's enough information to get the answer.

The original set has points in the form (x,y)

The first point is (x,y) = (-49,7) making x = -49 and y = 7. When we find the inverse, we simply swap the x and y values. The inverse undoes the original function and vice versa. So if (-49, 7) is in the original function, then (7, -49) is in the inverse. The rest of the points follow the same pattern.

We end up with this answer

{ (7, -49), (8, -56), (9, -63), (10, -70) }


17. Thirteen percent of a 12,000 acre forest is being logged. How many acres will be logged?

Answers

Answer:

1560 acres

Step-by-step explanation:

What we need to do is find 13% of 12000.

We can start by converting 13% to a fraction.

13%=13/100

Multiply.

13/100*12000

(13*12000)/100

156000/100

Divide.

1560

1560 acres are being logged.

The number of acres that will be logged is 1560 acres.

Since thirteen percent of a 12,000 acre forest is being logged, to calculate the number of acres that will be logged, we'll have to multiply 13% by 12000. This will be:

= 13% × 12000

= 0.13 × 12000

= 1560

Therefore, 1560 acres will be logged.

Read related link on:

https://brainly.com/question/10930932

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 600 pounds more than each of her trucks, but no more than 1/3 of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?

Answers

Answer:

The load the large truck can carry  is 2400 pounds

Step-by-step explanation:

Let the load the large truck can carry  = X

Let the  load each of the four trucks owned by the neighbor can carry = Y

The given parameters are;

The load the large truck can carry X = 600 + Y......(1)

The number trucks owned by the neighbor = 4

The load the large truck can carry X ≤ 1/3 × 4 × Y

Therefore, X ≤ 4/3 × Y

At maximum capacity, we have;

X = 4/3 × Y

Substituting the value of X into equation (1), we have;

4/3 × Y = 600 + Y

600 = 4/3 × Y - Y = 1/3·Y

Y = 3 × 300 = 1800 pounds

Y =  = 1800 pounds

Therefore, the load the neighbors truck can carry = 1800 pounds

X = 600 + Y gives;

X = 600 + 1800 = 2400 pounds

∴ The load the large truck can carry  = 2400 pounds

in the equation z=x^2-3y, find the value of z when x=-3 and y=4

Answers

Answer:

z=-3

Step-by-step explanation:

z=(-3)^2 - 3(4)

z=9 - 12

z=-3

The heights of two similar parallelograms are 16 inches and 20 inches. Their

respective areas are (3x+5) square inches and 9x square inches. Find the value of

X?

Answers

Answer: [tex]x=\dfrac{25}{21}[/tex]

Step-by-step explanation:

Area of parallelogram = Base x height

If two parallelograms are similar, then their corresponding sides are proportional.

That means, [tex]\dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}[/tex]

[tex]\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}[/tex]

Hence, [tex]x=\dfrac{25}{21}[/tex]

a rectangular garden is fenced on all sides with 128 feet of fencing. The garden is 4 feet longer than it is wide. Find the length and width of the garden

Answers

Answer:

Length = 34 feet

Breadth = 30 feet

Step-by-step explanation:

Perimeter= 128 ft

Let the breadth be = [tex]x[/tex]

Let the length be = [tex]x+4[/tex]

∴by the problem ,

2(length+breadth)= perimeter

[tex]2(x+4+x)=128\\2(2x+4)=128\\4x+8=128\\4x=128-8\\4x=120\\x=120/4\\x=30[/tex]

Therefore, length of the garden = 30+4= 34 feet

breadth of the garden = 30 feet  

When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? X equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a 6 42 57 105

Answers

Answer:

The value of r is 105

Step-by-step explanation:

Quadratic equation helps us to solve any quadratic equation. The formula is:

(-b ± √b² - 4ac) ÷ 2a

For the quadratic equation ax²+bx+c

For the equation: X² - 9x - 6:

a = 1, b = -9 and c = -6

Replacing in the quadratic formula:

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

That means, the value of r is 105

Answer:

105 is right

Step-by-step explanation:

I took the test

1)A cylindrical container has a diameter has diameter of 14cm and height of 20cm and is full of water. A student pours the water into another cylinder of diameter 20cm. How deep is the water in the second cylinder?

2)A cylindrical water tank is70cm in diameter. To begin with, it is full of water. A leak starts at the bottom so that it loses 10l of water every hour. How long will it take for the water level to fall by 20cm?

3) A cylindrical storage vessel is 4m in diameter and 31/2m deep. How many kilolitres will it hold?​

Answers

Answer:

Hey there!

1) To solve this, we want to know the volume of the first cylinder, which using the cylinder volume formula, we find is roughly 3079 cm^3. If the water is poured into the second cylinder, we find that the height is about 9.8 cm.

2) First, we should know that 1000 cm^3=1 liter. Volume of 1 cm tank height: 3848 cm^3, or 3.848 l. Volume for 20  cm tank height= 76.96 l. It takes about 7.7 hrs for the water level to fall 20 cm.

3) Cylinder volume formula gives us the answer to be 176 m^3 as the volume.

Hope this helps :)

please help i beg plsssssssssz​

Answers

Answer:

5/2=20/8=35/14=125/50

Answer:

8, 14, 50

Step-by-step explanation:

5 x 4 = 20

2 x 4 = 8

5 x 7 = 35

2 x 7 = 14

5 x 25 = 125

2 x 25 = 50

A bag has six balls labeled a,b,c,d.e and f . One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing the letter a or c . If there is more than one element in the set, separate them with commas.

Answers

Sample space = {a,b,c,d,e,f}Event space = {a,c}

We simply list all of the letters mentioned as they are the possible outcomes. We can only pick one item from the sample space. The event space is the set of outcomes where we want to happen (picking either an 'a' or 'c').

Hey There!!

To this Question, This answer going to had A Explanation to this: Sample space--

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled: A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

This means that the sample space is given by:

Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from D to F.

Then the sample space is:

Sample space= {D,E,F}

Hope It Helped!~ ♡

ItsNobody~ ☆

The test to detect the presence of respiratory syncytial virus is 97% accurate for a person who has the virus and 99% accurate for a person who does not have the virus. In a given population, 0.55% of the people are infected.
The probability that a randomly chosen person gets an incorrect result is
.

Answers

Answer:

The probability that a randomly selected person gets incorrect result is 2.2 × 10⁻⁴

Step-by-step explanation:

The parameters given are;

The accuracy of the test for a person who has the respiratory synctial virus = 97%

The accuracy of the test for a person who does not have the respiratory synctial virus = 99%

We have;

a = TP =

b = FP

c = FN

d = TN

a/(a + c) = 0.97

d/(d + b) = 0.99

a/(a + b) = 0.97*0.0055/(0.97*0.0055 + (1 - 0.99)*(1-0.0055))

PPV = 0.349 = 34.9%

Therefore, we have;

a/(a + c) = 0.97 and

a/(a + b)  =  0.349

0.97(a + c) =0.349(a + b)

(0.97 - 0.349)a = 0.349·b - 0.97·c

a = (0.349·b - 0.97·c)0.621

b × (1 - 0.0055) = (1 - 0.97)×(1 - 0.0055)

b = 1 - 0.97 = 0.03

Similarly,

c = 1 - 0.99 = 0.01

The proportion of the population that have false positive and false negative = 0.03 + 0.01 = 0.04 = 4%

The probability that a randomly selected person gets incorrect result = 0.04×0.0055 = 0.00022.

Answer:

0.01011

Step-by-step explanation:

Find the value of tetha in 2 cos 3 tetha = 1

Answers

Answer:

Step-by-step explanation: 2cos3 theta=1. Cos 3theta=1/2. Since cos 60°= 1/2. Therefore cos 3theta=cos 60°. Theta=20°.

can we chat girl in comment

2(cos 3theta) = 1
Cos 3theta = 1/2 = cos(60)
Theta = 60/3 = 20

Rational exponents

I need help ASAP!! Can someone solve and explain step by step how to do it???

Answers

Answer:

a . x = 512

b. x^1/2•y•z^5/4

Step-by-step explanation:

a. Here in this question, we want to find the value of x, given the equation.

x^2/3 = 64

Now, to find the value of x, we shall raising both powers to the reciprocal of 2/3

When we talk of reciprocal, we mean a number such that when we multiply this number by that particular number, our result is 1.

So for 2/3, the reciprocal is 3/2

So let’s raise the power of both sides to 3/2

Thus;

x^2/3(3/2) = 64^3/2

Kindly recall that 2/3(3/2) = 2/3 * 3/2 = 1

Thus ;

x = 64^3/2

So what this mean is that we will find the square root of 64 and cube our answer.

Thus;

x = {√(64)}^3

x = 8^3

x = 512

b. According to laws of indices, kindly note that

b√(a) = a^1/b

Thus;

4 √(x^2•y^4•z^5) = (x^2•y^4•z^5)^1/4

So what we do is to multiply each of the powers in the bracket by 1/4

Thus, we have the following;

x^2(1/4) • y^4(1/4) • z^5(1/4)

= x^1/2•y•z^5/4

where • simply refers to multiplication between the terms

Sunita bought a 10 kg box of grapes from the market. She gave 3 1/2 kg of her grapes to her friend Reena and 2 1/4 kg to Anita. How many kilograms of grapes were left with her?

Answers

Answer:

17/4 kg

Step-by-step explanation:

Sunita has = 10kg of grapes

Quantity given out :

To Reena =3 1/2

7/2 kg

To Anita =2 1/4

9/4 kg

Total quantity of grape given out

7/2+9/4

(14+9)/4

23/4

Quantity left after giving out = Total quantity of grape before giving out minus quantity of grape given out

10/1 - 23/4

40-23)/4

= 17/4 or 4 1/4

Hence, she has 17/4 kg of grape left with her

A cylindrical tank whose diameter is 1.4 metres and height 80 cm is initially empty. Water whose volume is 492.8 litres is poured into the tank. Determine the fraction of the tank filled with water. (4 mark

Answers

Answer:

The fraction filled with water is 7/40

Step-by-step explanation:

Okay.

Here we start by calculating the volume of the cylindrical tank.

Mathematically, that would be;

V = π * r^2 * h

From the question

r = 80 cm = 80/100 = 0.8 meters

h = 1.4 meters

π = 22/7

Plugging these values into the volume equation, we have;

V = 22/7 * 0.8 * 0.8 * 1.4 = 2.816 m^3

But mathematically;

1 m^3 = 1000 liters

So 2.816 m^3 = 2.816 * 1000 = 2816 liters

So the fraction filled with water will be;

492.8/2816 = 0.175 = 175/1000 = 7/40

A sample proportion of 0.44 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 100 and a point estimate of 0.44. The minimum sample proportion from the simulation is 0.32, and the maximum sample proportion from the simulation is 0.50. What is the margin of error of the population proportion using an estimate of the standard deviation?

Answers

Answer:

±0.06

Step-by-step explanation:

To find the margin of error using the standard deviation method, use the equation [tex]2(\frac{maximum-minimum}{6})[/tex].

In this situation, it would look like this: [tex]2(\frac{0.50-0.32}{6})[/tex]. Using this equation, you can find the margin of error by using the standard deviation method.

[tex]2(\frac{0.50-0.32}{6})[/tex]

[tex]2(\frac{0.18}{6})[/tex]

[tex]2(0.03)[/tex]

[tex]0.06[/tex]

Hope this helps!

(I know this is right because its what I answered on the test, and got 100%)

The margin of error of the population proportion using an estimate of the standard deviation is 0.06

we have given that,

A sample proportion of 0.44 is found.

The minimum sample proportion from the simulation is 0.32

The maximum sample proportion from the simulation is 0.50

What is the formula for the margin of error using the standard deviation method?

The formula for the margin of error using standard deviation is,

[tex]2(\frac{max-min}{6} )[/tex]

Use the given value in the formula we get,

[tex]2(\frac{0.50-0.32}{6} )[/tex]

Using this equation, you can find the margin of error by using the standard deviation method.

[tex]2(\frac{0.50-0.32}{6} )\\\\=2(\frac{0.18}{6})\\\\ =2(0.03)\\\\=0.06[/tex]

Therefore we get,

The margin of error of the population proportion using an estimate of the standard deviation is 0.06

To learn more about the population proportion using an estimate of the standard deviation visit:

https://brainly.com/question/22985943

Envision a base-5 numbering system. Write the rules for the system, and give six 3-digit examples in base-5 with their equivalent decimal and binary values.

Answers

Answer:

See Explanation Section

Step-by-step explanation:

Given

A base 5 numbering system: Envision

Some of the rules are as follows:

For a base 5 system, the highest individual digit is 4: Meaning that the 1234, 343, 110 are valid digits while 1235, 78, 55 are invalid digitsThe place values of this system are in place of 5s: i.e. ......5°, 5¹, 5², 5³, 5⁴......

3 digit examples

1

Base 5: 100

Base 10: 25 (See calculation below)

[tex]1 * 5^2 + 0 * 5^1 + 0 * 5^0 = 1 * 25 + 0 + 0 = 25[/tex]

Base 2: 11001 (See calculation below)

[tex]25 / 2 = 12\ R\ 1[/tex]

[tex]12 / 2 = 6\ R\ 0[/tex]

[tex]6 / 2 = 3\ R\ 0[/tex]

[tex]3 / 2 = 1\ R\ 1[/tex]

[tex]1 / 2 = 0\ R\ 1[/tex]

Writing the remainder from bottom: 11001

Using the same steps as used in (1) above

2.

Base 5: 211

Base 10: 56

Base 2: 111000

3.

Base 5: 441

Base 10: 121

Base 2: 1111001

4.

Base 5: 230

Base 10: 65

Base 2: 1000001

5.

Base 5: 342

Base 10: 97

Base 2: 1100001

6.

Base 5: 141

Base 10: 46

Base 2: 101110

This is the question ​

Answers

For answers, please refer to the picture attached

Answer:

I can't give a full answer because I can't see the image whilst giving an answer but I'll try so....

Step-by-step explanation:

Angles in a straight line add to 180° so when you have one of two of them angles are them together and take away from 180°

Angles around a full point add to 360° so add angles together and take away from 360°

On A I think it is you have a 360° angle and have to work out 3 and you have one already done and the opposite angle is the same as that so you basically have two angles then you add them together then take from 360 then divide the answer by two and then that would be the angles for a and x

And for the last one you have been given two angles with a right angle and a right angle equals 90 so add them together and take from 180 to get the missing angle

Hope this helps :)

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A cylinder has a radius of 2.8 in and a height of 2.4 in. Which cylinder is similar?(p.s. the pic is the awnser choices)also if you can awnser this xan you awnser it asap im currently taking a test thanks :) You are performing a routine check-up on an 81-year-old retired cotton farmer in the vascular surgery clinic. You note that he has a history of chronic arterial insufficiency. Which of the following physical examination findings in the lower extremities would be expected with this disease?A) Normal pulsationB) Normal temperatureC) Marked edemaD) Thin, shiny, atrophic skin Let's see what it would take to win that trip to Hawaii.Remember that you think you'll respond to 12 questions and hope to score 600 points to win,although it's possible to score even more points or many fewer (including negative scores!) onthe show.Here are the equations you wrote to model your winning scenario:x+y=12100x - 200y = 600Are the boundaries of the first equation viable in the second equation? What does thissuggest about your plan to score 600 points?Select the two correct statements. the sum of 35 and one fifth part of itself is added to the sum of one seventh of 11 and 8 The term "debenture" is used to describe: Group of answer choices bonds that are below investment grade. bonds that are secured by a lien on real property. bonds that do not make coupon interest payments. an unsecured long-term debt. a complete set of removable, artificial teeth. Next An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 150 miles from the point and has a speed of 300 miles per hour. The other is 200 miles from the point and has a speed of 400 miles per hour.(a) At what rate is the distances between the planes decreasing?(b) How much time does the air traffic controller have to get one of the planes on a different flight path? A student uses a spring scale attached to a textbook to compare the static and kinetic friction between the textbook and the top of a labtable. If the scale measures 1,580 g while the student is pulling the sliding book along the table, which reading on the scale could have beenpossible at the moment the student overcame the static friction? (1 point)1,860 g820 g1,580 g1,140 g A 2.87g sample of carbon reacts with hydrogen to form 3.41g of car fuel. What is the empirical formula of the car fuel? On January 1, 2021, Splash City issues $320,000 of 8% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year. Required:Assuming the market interest rate on the issue date is 8%, the bonds will issue at $320,000. Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.) Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time it takes to produce the product using the new machine is significantly less than the production time using the old machine. To test the claim, independent random samples were taken from both machines. You are given the following results.New Machine Old MachineSample Mean 25 23Sample Variance 27 7.56Sample Size 45 36As the statistical advisor to Ajax, would you recommend purchasing Allied's machine? Explain. Why did Allied forces find so much destruction when they finally reached Germany what is cardiovascular arrest...?explain...? The table below gives the list price and the number of bids received for five randomly selected Items sold through online auctions. Using this data, consider the equation of the regression line hat y =b 0 +b 1 x for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data givenRemember, practice , it would not be appropriate to use the regression line to make a prediction the correlation coefficient is not statistically significant Price in Dollars 39 40 42 43 45 Number of Bids 1 3 5 6 8 Table Copy Data Step 1 of 6: Find the estimated slope: Round your answer to three decimal places During a certain 25-year period, the consumer price index (CPI) increased by 99%,but during thenext 25-year period, it increased by only 1%. Which of these conditions must have existed during thesecond 25-year period?A. ConflationB. DeflationC. InflationD. Stagnation A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Suppose it is known that heart rate (in beats per minute) is normally distributed with an average of 70 bpm for adults. A random sample of 25 adults was selected and it was found that their average heartbeat was 73 bpm after energy drink consumption, with a standard deviation of 7 bpm. In order to test belief at the 10% significance level, determine P-value for the test. y - 4= -2(x + 3)Complete the missing value in the solution to the equation.(-3, _ ) One hundred people, ages 11-15, were randomly surveyed to find their opinion of their favorite leisure time activity. Sixty-four percent of them said they liked to spend time watching TV. If there are 1500 students in your school, about how many of them would you predict would enjoy watching t.v. A.2343 B.960 C.640 D.500 The grade appeal process at a university requires that a jury be structured by selecting individuals randomly from a pool of students and faculty. (a) What is the probability of selecting a jury of all students? (b) What is the probability of selecting a jury of all faculty? (c) What is the probability of selecting a jury of students and faculty Here is some information about the goals scored in some hockey games. Each game has four quarters. Please give the answer asap with full explanation and working out. A classroom has 14 boys and 18 girls. What is the ratio of boys to girls?