Translate verbal phrases into mathematical expressions
1. The difference of gross sales and total sales
2. The sum of two numbers of less 11
3. Three fourths of 500

Thankyouuuuu !

Answers

Answer 1

Answer:

see i do not know 1st so i am not answer for it

Step-by-step explanation:

2nd) let 1st number be x

and second number be y

so x+y>11 or x+y<11 or x+y=11

this three can be i am not sure about this so just verify from any other source too

3rd) the ans is 500 upon(divided) by 4=125

so 125 multiply by 3 is 375

the correct ans is 375


Related Questions

Simplify this complex fraction 2/5 divided by 5/8

Answers

Answer:

1 19/21

Step-by-step explanation:

brainliest pls :D

Answer:

0.64

Step-by-step explanation:

Let's think about a few simple examples. Once you understand them, you

will be able to put them together to make harder problems.

Ex: What is 2 divided by 1/5? Here are 2 blocks:

    +---------+---------+

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    +---------+---------+

Here is 1/5 of a block (the shaded part):

    +---------+

    |XXXXXXXXX|

    +.........+

    |         |

    +.........+

    |         |

    +.........+

    |         |

    +.........+

    |         |

    +---------+

To divide 2 by 1/5, we divide 2 blocks into pieces the size of the 1/5

block.

    +---------+---------+

    |         |         |

    +.........+.........+

    |         |         |

    +.........+.........+

    |         |         |

    +.........+.........+

    |         |         |

    +.........+.........+

    |         |         |

    +---------+---------+

There are 10 pieces this size in the 2 blocks. In other words,

    2 divided by 1/5 = 10

That's the same as

    2 x 5 = 10

Do you see why? To make 1/5 size blocks, we had to make each whole

block into 5 pieces. In other words, we multiplied the number of

pieces by 5.

Next problem:

   2 divided by 2/5 = ?

Here is 2/5 of a block (the shaded part):

    +---------+

    |XXXXXXXXX|

    +.........+

    |XXXXXXXXX|

    +.........+

    |         |

    +.........+

    |         |

    +.........+

    |         |

    +---------+

Let's divide the 2 blocks into pieces this size.

    +---------+---------+

    |         |         |

    +         +         +

    |         |         |

    +.........+.........+

    |         |         |

    +         +         +

    |         |         |

    +.........+.........+

    |                   |

    +---------+---------+

The bottom block is a different shape, but it's the same size, because

it's made of 2 1/5-size pieces. Since the pieces we want are twice as

big, there are only 1/2 as many of them. The answer is

    2 divided by 2/5 = 10/2 = 5

This is the same as

    2 x 5/2 = 5

Do you see how the two equations are related? You take the fraction,

2/5, and "turn it upside down" (in math words, we say "invert the

fraction," or "take its reciprocal"). Then replace the division sign

by a multiplication sign.

Now we can tackle harder problems. The same method always works, even

if the answer isn't a whole number as in the simple examples. For

instance,

    5 divided by 3/8 = ?

Ex: Invert the fraction 3/8; you get 8/3. Then multiply by this fraction:

    5 x 8/3 = 40/3 = 13 1/3

We can even replace the whole number in the problem with a fraction,

like this:

    5/7 divided by 3/8 = ?

    5/7 x 8/3 = ?

     5     8     40       19

    --- x --- = ---- = 1 ----

     7     3     21       21

If you are comfortable with multiplying fractions, then you will have

no trouble dividing fractions. Just remember: invert the fraction you

are dividing by (the divisor), and multiply instead of dividing. Hope this helps! :)

2(67+8)*3 plz help
A. 450
B.908
C.154
D 679

Answers

Answer:

A. 450

Step-by-step explanation:

Answer:

its a the answer 450

Step-by-step explanation:

Here is why

2(67+8) (3)

= (2) (75) (3)

=(150) (3)

= 450

hope it helps

Mary got a raise of 2% on her salary. If her original salary was $160,000, how much is it after the raise is implemented?

Answers

Mary new salary is $163,200

2% means 2 / 100 = 0.02

A raise implies addition to the original amount, therefore

160000 + 0.02 * 160000

160000 + 3200

163200

19+22+11 route written correctly using the commutative property and then simplify correctly

Answers

Answer:

11 + 22 + 19 = 52

Step-by-step explanation:

You can simplify 52 into 13, here's why ↓

4 x 13 = 52

Hope this helps!If so, give thanks! Keep learning and stay cool.

what is 12x12-11+14-18=?

Answers

Answer:

129

Step-by-step explanation:


First we check for parentheses which there is none.

We would first do 12 x 12=144

Then we would do addition and subtraction left to right.

so just in order.

Second we would do 144 - 11=133


Third we would do 133 + 14=147


And last 147 - 18=129 And there's your answer.

Hope it helps have a great day:)

17.52 - 106
(7.2 + 1.09)

Answers

Answer:

-88.48

8.29

Step-by-step explanation:

Henry painted a picture of his house on canvas. The actual width of the driveway is 20 fr. If it represented with a. width of 4in on the canvas, what was the scale factor used?

Answers

5 feet=1 inch 20 / 4=5 so 5 feet = 1 inch

We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2.4 hours. Answer the following questions, assuming the distribution of the number of television hours is normal. What is the Z score for a person who watches more than 8 hrs/day. 2.09 What proportion of people watch 5 hrs/day or more television? 0.84 How many does this correspond to in the sample? 130 What number of television hours per day corresponds to a Z +1. -0.825 What is the percentage of people who watch between 1 and 6 hours of television per day? Please round to a whole number 1.26

Answers

Answer:

a)2.09

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where

x is the raw score,

μ is the population mean,

σ is the population standard deviation.

Mean = average of 2.98 hrs/day, Standard deviation = 2.4 hours.

a) What is the Z score for a person who watches more than 8 hrs/day.

z = (x-μ)/σ

= 8 - 2.98/2.4

= 2.09167

≈ 2.09

b) What proportion of people watch 5 hrs/day or more television?

z = (x-μ)/σ

= 5 - 2.98/2.4

= 0.84167

P-value from Z-Table:

P(x<5) = 0.80001

The proportion that watches 5 hrs/day or more television?

P(x>5) = 1 - P(x<5) = 0.19999

≈ 0.2

c) How many does this correspond to in the sample?

From the question we are told:

650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2.4 hours.

Hence, the proportion that corresponds to people who watch 5 hrs/day or more television form the samples is

0.2 × 650

= 130 correspondents.

d) What number of television hours per day corresponds to a Z +1.

z = (x-μ)/σ

+1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

x = 2.4 + 2.98

x = 5.38 hours per day

e) What is the percentage of people who watch between 1 and 6 hours of television per day?

Step 1

For 1 hour

z = (x-μ)/σ

= 1 - 2.98/2.4

= -0.825

Probability value from Z-Table:

P(x = 1) = 0.20469

Step 2

For 6 hours

z = (x-μ)/σ

= 6 - 2.98/2.4

= 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is

P(x = 6) - P(x = 1)

= 0.89586 - 0.20469

= 0.69117

Converting to percentage =

0.69117 × 100

= 69.117 %

Approximately = 69%

What is 2(a +8) pls help me I want to pass

Answers

the answer could possibly be

2(a+8)
2xa=2a
2x8=16

Answer=
2a+16

Answer:

2a+16

Step-by-step explanation:

Your first distribute 2(a+8) and get 2a+16.

Whenever a number is in front of a group of numbers in parenthesis, then it  is always multiplying. You have to multiply both numbers, and that's how I got 2a+16. Hopefully this helps!

X+33% of X = 266
Answer:- 200

Answers

x + (1 + 33%) = 266

x * 1,33 = 266

x = 266 : 1,33

x = 200

Hello

x + 0.33 x =  266

1.33 x = 266

x =  - 200


If (x+ 4) is a factor of polynomial p, which statement must be true?
A. P(-4) = 0
B. p(4) < 0
C. p(4) = 0
D. P(-4) > 0

Answers

Answer:

A

Step-by-step explanation:

In a sample of 100 steel wires the average breaking strength is 50 kN, with a standard deviation of 2 kN. a. Find a 95% confidence interval for the mean breaking strength of this type of wire. b. Find a 99% confidence interval for the mean breaking strength of this type of wire. c. An engineer claims that the mean breaking strength is between 49.7 kN and 50.3 kN. With what level of confidence can this statement be made? d. How many wires must be sampled so that a 95% confidence interval specifies the mean breaking strength to within ±0.3 kN? e. How many wires must be sampled so that a 99% confidence interval specifies the mean breaking strength to within ±0.3 kN?

Answers

Answer:

.

Step-by-step explanation:

1.

Alpha = 0.05. alpha/2 = 0.025

Under the z table

Z 0.025 = 1.96

50+-1.96(2/√100)

= 50+-0.39

50+0.39 = 50.39

50-0.39 = 49.61

2.

At 99%

Alpha = 0.01

Alpha/2 = 0.005

In z table

= 2.58

50+-(2.58)(2√100)

= 50 +- 0.52

= 50+0.52 = 50.52

50 - 52 = 49.48

Please check attachment for answers 3 to 5. The test editor did not work properly. It kept flagging some of my typed content.

Using the z-distribution, it is found that:

a) The 95% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.61, 50.39).

b) The 99% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.49, 50.52).

c) The confidence level is of 86.64%.

d) 171 wires must be sampled.

e) 295 wires must be sampled.

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

Sample mean of [tex]\overline{x} = 50[/tex]. Population standard deviation of [tex]\sigma = 2[/tex]. Sample size of [tex]n = 100[/tex].

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Item a:

The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.

Hence, the interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 50 - 1.96\frac{2}{\sqrt{100}} = 49.61[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 50 + 1.96\frac{2}{\sqrt{100}} = 50.39[/tex]

The 95% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.61, 50.39).

Item b:

[tex]\alpha = 0.99[/tex], thus, z with a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], which means that it is z = 2.575.

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 50 - 2.575\frac{2}{\sqrt{100}} = 49.49[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 50 + 2.575\frac{2}{\sqrt{100}} = 50.52[/tex]

The 99% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.49, 50.52).

Item c:

The margin of error is:

[tex]M = \frac{50.3 - 49.7}{2} = 0.3[/tex]

Hence:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.3 = z\frac{2}{\sqrt{100}}[/tex]

[tex]0.2z = 0.3[/tex]

[tex]z = 1.5[/tex]

z = 1.5 has a p-value of 0.9332, hence:

[tex]\frac{1 + \alpha}{2} = 0.9332[/tex]

[tex]1 + \alpha = 2(0.9332)[/tex]

[tex]\alpha = 0.8664[/tex]

The confidence level is of 86.64%.

Item d:

This is n for which M = 0.3, with z = 1.96, hence:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.3 = 1.96\frac{2}{\sqrt{n}}[/tex]

[tex]0.3\sqrt{n} = 1.96(2)[/tex]

[tex]\sqrt{n} = \frac{1.96(2)}{0.3}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(2)}{0.3}\right)^2[/tex]

[tex]n = 170.7[/tex]

Rounding up, 171 wires must be sampled.

Item e:

Now z = 2.575, hence:

[tex](\sqrt{n})^2 = \left(\frac{2.575(2)}{0.3}\right)^2[/tex]

[tex]n = 294.7[/tex]

Rounding up, 295 wires must be sampled.

A similar problem is given at https://brainly.com/question/25325640

please answer this equation fast !!!

Answers

Answer:

Question 1

C) 00:00

Question 2

B) 37.68 cm

hope this helps!

6. Jessie thinks that the first step in solving the equation shown below is to use the addition
property of equality. His friend Robin thinks that the multiplication property of equality
could be used first. Who is correct and why?
3
5
ixto
A. Jessie is correct because can first be added to both sides of the equation.
B. Robin is correct because both sides of the equation can first be multiplied by 10
C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on
both sides of the equation.
D. Neither is correct because neither adding nor multiplying by 10 on both sides of the
equation is a valid step.

Answers

The equation is missing and it is;

(2/5)x - 3/2 = (5/2)x + 6

Complete options are;

A. Jessie is correct because 3/2 can first be added to both sides of the equation.

B. Robin is correct because both sides of the equation can first be multiplied by 10

C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on both sides of the equation.

D. Neither is correct because neither adding nor multiplying by 10 on both sides of the

Answer:

option B: Robin is correct because both sides of the equation can first be multiplied by 10

Step-by-step explanation:

The given equation is;

(2/5)x - 3/2 = (5/2)x + 6

Now, looking at this, we have fraction terms. Thus, the first step will be to find a way to clear the denominators in order to make every term a whole number.

The denominators we have are: 2 and 5.

So to clear the denominator we'll multiply each term by 10 which is a product of 2 and 5.

Looking at the options, the correct answer is option B: Robin is correct because both sides of the equation can first be multiplied by 10

Need help with this

Answers

Answer:

A: yes

B: no

C: yes

D: no

Step-by-step explanation:


edit: just realized the person above put the same answer. I am positive we have the correct answer.

is my answer correct or no bc im struggling with this question ​

Answers

Answer:

Yes, you got it correct, good job.

Prove that 5^7 + 5^6 is divisible by 6

5^7 + 5^6 = __ • 6

Answers

Answer:

Step-by-step explanation:

[tex]5^{7}[/tex] + [tex]5^{6}[/tex] = 5 × [tex]5^{6}[/tex] + [tex]5^{6}[/tex] = [tex]5^{6}[/tex] ( 5 + 1 ) = [tex]5^{6}[/tex] · 6

Hey there!

[tex] -› \: {5}^{7} + {5}^{6} [/tex]

[tex]-› 78,125 + 15,625[/tex]

[tex]-› \: 93750[/tex]

[tex]-› \: 93750 \div 6[/tex]

[tex]-› \: 15625[/tex]

Therefore, It's divisible by 6

Find the area of the polygon with the given vertices.
G(2,2) H(3,-1) J(-2,-1)

Answers

Answer:

8

Step-by-step explanation:

hope this helps you

find gradient

xe^y + 4 ln y = x² at (1, 1)​

Answers

[tex]xe^y+4\ln y=x^2[/tex]

Differentiate both sides with respect to x, assuming y = y(x).

[tex]\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x[/tex]

[tex]\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]

[tex]e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]

Solve for dy/dx :

[tex]e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]

[tex]\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}[/tex]

If y ≠ 0, we can write

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}[/tex]

At the point (1, 1), the derivative is

[tex]\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}[/tex]

What is the product of -1 3/8 and 2 4/5 expressed as a mixed number?

Answers

Answer:

For -1 3/8: 11/8

2 4/5: 14/5

Step-by-step explanation:

When you have a mixed number, take the whole number and multiply it by the denominater, then add the numerator to the product. That whole answer will be the new numerator, but the denominator won't change.

Trey made a scale drawling of a micro chip using a scale of 2 inches long and 4inches wide

Answers

Answer:

Perimeter- 12 inches

Area- 8 inches

Shape- Rectangle

(I didn't know what the question was)

Given that one of the angles in a triangle is 60°, select the correct option for each statement.

Answers

(i) might be true, you can have a scalene triangle with one angle being 60°, (if all the other angles were also 60°) BUT we don’t know the other angles so it is possible that it is not a scalene as well

(ii) must be true, because all angles in a triangle must add up to 180° (120°+60°=180°)

(iii) cannot be true, because in order to be obtuse that means the other angles must both be bigger than 90°, and 91°+ 91° is 182°,but ALL three angles of a triangle must equal 180° together therefore there wouldn’t be any room for the 60°

(iiii) Might be true, 60° plus a right angle (90°) gives you 150°, and the other angle would be 30°, so you can’t tell for sure if it’s a right angle triangle but it is possible that is could be.

does p-4=-9+p have no solution, one solution, or infinite solutions

Answers

the equation has no solutions

Assuming that 6 in 10 automobile accidents are due mainly to a speed violation, find the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation (a) by using the formula for the binomial distribution; (b) by using Table A.1.

Answers

Answer:

A ) 0.2090 B) .2090

Step-by-step explanation:

∙Let random variable XX represent the number of accidents due to speed violation among 8 automobile accidents.

Lets consider it success if an accident is due to speed violation.

-Probability of a success in each trial is p = 6/10 = 0.6

-Because the trials are independent, XX has a binomial distribution with parameters n = 8n=8 and p = 0.60p=0.60

The probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

 

It is given that, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation.

In everyday life, risk modeling and assessment involve the use of probability theory. Actuarial science is used by the insurance sector and markets to set pricing and decide which securities to trade. Environmental regulation, entitlement analysis, and financial regulation are all areas where governments use probabilistic methods.

Probability =favorable outcome/ total outcome

Probability = 6/8

Probability =0.75

Thus, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

20 POINTS
Part D How many of the 320 million Americans would you predict wear CORRECTIVE lenses?

Answers

Answer:

320,000,000 * 0.638 = 204,160,000

Step-by-step explanation:

Assuming the sample is a good representation of the people from the United States.

Since there were 1,000 surveyed... and 638 of them were wearing glasses, that makes a proportion of 638 out of 1,000 people, or 63,8 / 100 people... so 63.8%... or 0.638

So, if we assume that the US population is of 320 million, how many people does that make wearing glasses.... we just have to multiply 320M by 0.638

Which two statements true ?

Answers

1 & 3 I thinkkkkkkk

Charlotte has 30 beads. She has 8 more red beads than blue beads.
Which equation represents this situation?

Answers

Answer:

I think it is the last One

Step-by-step explanation:

Answer:it’s the last one

Step-by-step explanation: I did the test

What’s the answer to this problem 3x36-(81/9-8)+16/4=

Answers

Answer:

108x - 69

Step-by-step explanation:

Reduce the numbers with greatest common divisor 9 Calculate the productReduce the fraction with 4Subtract the numbersCalculate the sum

QUESTION 24 - 1 POINT
A family picked 128 apples at the orchard. They eat the apples at a rate of 9 apples per day. Write a linear model in the form
a(t) = mt + b where a represents the number of apples remaining 1 days after picking the apples. Be sure to include "a(t)
="in your answer

Answers

The rate at which the family eats apples on a daily basis is an illustration of a linear model

The linear model of the scenario is a(t) = -9t + 128

How to determine the linear model

Linear models are used to illustrate scenarios with constant rates

A linear model is represented as:

a(t) = mt + b

Where:

m represents the rate (i.e. m = -9)b represents the initial value (i.e. b = 128)t represents the number of days, and a(t) represents the remaining apple

Substitute known values in the above equation

a(t) = -9t + 128

Hence, the linear model of the scenario is a(t) = -9t + 128

Read more about linear models at:

https://brainly.com/question/15602982


2(3x + 3) + 2(4x) = 48
6x + 6 + 8x = 48
14x + 6 = 48
14x = 54
x= 3.86


What’s is the mistake

Answers

Are you asking like In the equation? Like what’s the mistake
x doesn’t equal 3.86 it equals just 3
Other Questions
Why do you think education reform stopped when the civil war began? i need a good introduction for causes and effects of censorship in russia please be seriours. Ej bisects ZDEF, MZDEJ = 5x +7,mZJEF = 8x 8.What is the measure of A rabbit population of 500 was introduced in a certaincounty of Eagleville. Biologists observe that the populationincreases 25% each year. Complete the following:a. Identify a and b.b. Write an exponential function that models the situation ifthe trend continues. C. How many rabbits will be inEagleville after 10 years?Dont copy and paste another answer. Will mark brainliest for correct answer. If, according to Newtons Third Law, every action force has an equal reactionforce that acts in the opposite direction, why do these forces not just cancel eachother out, resulting in no net force and therefore no motion? Explain. During the Compromise of 1850, What was Henry Clay's 5 key points included in his plan? Help please! Gotta boost my SS grades, yk? Please help me with this please Ill mark you Brainly Flowers are a reproductive structure for some plants. The corpse flower blooms for a short period of time, and it smells like a mixture of rotten food, decaying organisms, and garbage. This repulsive scent attracts pollinating insects to the flower.Do you think the corpse flowers smell meets the definition of an adaptation as stated in the video? Explain your response.? Please help me ASAP( Will mark brainliest ) In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 27 of the drink is apple juice and 12 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form. Read and match each sentence with the correct subject or pronoun for the blank.Match Term Definition________ tengo el mantel en la mesa. A) Mi pap________ desayuna en el restaurante. B) Usted________, seora, quiere la servilleta? C) T________ no escuchas a la mesera. D) Y Write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1, 2, 3, 4, 5. 220 - 30 = 190 - 62 = 128128 x.60 = 76.8 +62 = 138.8 = 139128 x .85 = 108.8 +62 = 170.8 = 171Using the above formula, which number is the Target Heart rate at 90%? What is the best phrase from the source which builds on a theme of community City on a hill Pharaoh's Name & YearsRuled Hey guys Im a little stuck ? What is a possessive noun? John rode 2 kilometers on his bike. His sister Sally rode 6,000 meters on her bike. How many more kilometers did Sally ride? (4 points)3 kilometers4 kilometers6 kilometers12,000 kilometers The function h(x) shown is the result of adding twofunctions, f(x) and g(x).Which statement could be used to describe thefunctions?y22O Both original functions have a domain of (-00,00).O Both original functions have a domain of [-co, 2).O The domain of f(x) is [2,00), while the domain of g(x)is (-0,2).The domain of f(x) is (-0, 2], while the domain of g(x)is [2,00)-10 -8 -646810-2.-6-8-10-121416 Dana is planning on taking a two-year leave of absence from her job to pursue a graduate degree. Whatbalance does she need to have in an annuity that pays 2.4% annual interest in order to receive a monthlypayment of 2100? Give your answer correctly rounded to three significant figures.