Gemma is creating a histogram based on the table below. Salary Range Number of People 0 - $19,999 40 $20,000 - $39,999 30 $40,000 - $59,999 35 Which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized? 0–50 0–40 10–50 25–40

Answer:

  21h miles

Step-by-step explanation:

The appropriate relation is ...

  distance = speed · time

__

We are given that ...

  biking time = h

  walking time = 2h

  running time = (1/4)(2h) = h/2

The total distance traveled is ...

  total distance = biking distance + walking distance + running distance

     = (10)(h) +(3)(2h) +(10)(h/2)

     = 10h + 6h + 5h

  total distance = 21h . . . miles

Answer:

21h miles

Step-by-step explanation:

The appropriate relation is ...

 distance = speed · time

__

We are given that ...

 biking time = h

 walking time = 2h

 running time = (1/4)(2h) = h/2

The total distance traveled is ...

 total distance = biking distance + walking distance + running distance

    = (10)(h) +(3)(2h) +(10)(h/2)

    = 10h + 6h + 5h

 total distance = 21h . . . miles:

Answer:

3

Step-by-step explanation:

6^2=5^2+b^2

36=25+b

36-25=b

B= square root of 9

B= 3

Answer:

3

Step-by-step explanation:

Answer:

t

Step-by-step explanation:

The letter that comes next in the given sequence is K.

The given sequence is F H K N Z.

We need to find which letter comes next in the given sequence.

The pattern followed by the given sequence is they are letters of sounding board consonants.

Therefore, the letter that comes next in the given sequence is K.

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Answer:

5^5

Step-by-step explanation:

Step-by-step explanation:

[tex]a)

\\ \frac{a}{x - 1} - \frac{2}{x + 1} = \frac{4}{(x - 1)(x + 1)} \\ \\ \frac{a(x + 1) - 2(x - 1)}{(x - 1)(x + 1)} = \frac{4}{(x - 1)(x + 1)} \\ \\ a(x + 1) - 2x + 2 = 4 \\ \\ a(x + 1) = 4 + 2x - 2 \\ \\ a(x + 1) = 2x + 2 \\ \\ a (x + 1) = 2(x + 1) \\ \\ a= \frac{2(x + 1)}{(x + 1)} \\ \\ \huge \red{ \boxed{a = 2}}[/tex]

Solve b part yourself in the same way.

Answer:

Step-by-step explanation:

-11b+7 = 40

Group like terms

That's

- 11b = 40 - 7

- 11b = 33

Divide both sides by - 11

That's

[tex] \frac{ - 11b}{ - 11} = \frac{33}{ - 11} [/tex]

Hope this helps you

Answer:

-3

Step-by-step explanation:

I put this answer and got it correct on Khan

Answer:

money invested at 3% is $4000

Step-by-step explanation:

let the money invested in 3% account be x

then money invested in 5% account = 6000 - x

we know interest = p*r*t/100

p is the principle amount invested

here t = 1 year

interest on 3% money

interest= x*3*1/100 = 3x/100

interest on 5% money

interest= (6000-x)*5*1/100

Total interest earned on both the account

3x/100 + 5(6000-x)/100 = (3x + 30,000 - 5x)/100 =( 30000-2x)/100

given that total interest earned = $220

thus

( 30000-2x)/100 = 220

=> 30000-2x = 220*100= 22,000

=> -2x = 22,000- 30,000

=> x = -8000/-2 = 4000

Thus, money invested at 3% = x = $4000

Answer:)

$4000

Step-by-step explanation:

Answer:

The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water

Step-by-step explanation:

Tempeture = depth x

Answer:

y = -4

Step-by-step explanation:

x = 3 is a vertical line.

The perpendicular line passes through (0, -4) (x, y)

y = -4

The line is perpendicular, so the line should be also horizontal.

Answer:

y = -4

Step-by-step explanation:

The line x = 3 is a vertical one; any line perpendicular to x = 3 is a horizontal line (which has a zero slope).  

Thus, the desired line is a horizontal one that passes through (0, -4) and is represented by y = -4.

Answer:

15 miles

Step-by-step explanation:

Currently, he can run 3.5 * 2 = 7 mph. Adding 1/2 mph to that gives us 7.5 mph, so therefore, in 2 hours he can run 7.5 * 2 = 15 miles.

Answer:

15

Step-by-step explanation:

because its correct just did the thing.

Answer:

12.6 hp

Step-by-step explanation:

output of motor = 85.4% of input of motor.

Given that motor delivers 10.75 hp, it means output of motor is 10.75hp

Using both the given conditions

10.75 = 85.4% of input of motor

=> 10.75 = 85.4/100  * input of motor

=> input of motor = 10.75*100/85.4 = 1075/85.5 hp = 12.57 hp.

Input of motor rounded to 1 decimal place = 12.6 hp

Answer:

-9ab3a3b-52

Step-by-step explanation:

-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2

-8a3b-6a-52+5a2b3a3b

-14a3b-52+5a2b3a3b

-9ab3a3b-52

Answer:

y = 3/4x + 17/4

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 2)/(1 + 3)

m = 3/4

y = 3/4x + b

Step 2: Find b

5 = 3/4(1) + b

5 = 3/4 + b

b = 17/4

Step 3: Rewrite equation

y = 3/4x + 17/4

Answer:

y = 3/4x + 17/9

Step-by-step explanation:

Find the slope:

5 - 2/ 1 - (- 3)

3/ 1 + 4

3/4

Find the y-intercept:

2 = 3/4(-3) + b

2 = -9/4 + b

17/4 = b

Put it in an equation:

y = 3/4x + 17/9

Answer:

a) half life is 3h 17 minutes

b) function of residue drug after t hours with initial quantity = 500 mg

        f(t) = 500 (0.81^t)

c) drug left in patient's system after 24 hours

   = 0.00 grams (to the hundredth of a gram.

Step-by-step explanation:

Given:

Drug initial active weight, A = 500 mg

Residue active weight, f(t) = A 0.81^t

t = time in hours.

a) half life

Half life is T, such that f(T) = 0.5A =>

0.5A = A(0.81^t)

0.81^t = 0.5

t*log(0.81) = log(0.5)

t = log(0.5) / log(0.81) = -0.6931 / -0.2107 = 3.2894 hours

= 3 h 17.36 minutes

b) Equation of function of residue drug as a function of time t in hours

A=500 mg

f(t) = A(0.81^t)    substitute A = 500 mg

= 500(0.81^t)  mg

c) weight of residue drug after 24 hours to the hundredth of a gram.

t=24 hours

A=500

f(t) = 500(0.81^t)    substitute t=24 hours

= 500(0.81^24)

= 3.181 mg

= 0.003181 g

Answer:  6.25    IF my assumption is correct about the missing x!

The Other way around:   4.5  with    2x² + y² / 3

Step-by-step explanation:  2y² + y² / 3  assuming the 2nd y should have been x, 1st y  is y,  and all divided by 3

2(3)² + (1.5)² / 3

2(9) + 2.25   /3

18 + 2.25  /3

20.25/3

6.25

Edited to correct!________ OR 2y² + y² / 3  assuming the 1st y should have been x, 2nd y  is y,  and all divided by 3

2(1.5)² + (3)² / 3

2(2.25) + 9  / 3

4.5 + 9  /3

13.5 /3

4.5

Answer:

[tex]\frac{13.5}{3}[/tex]

Step-by-step explanation:

=> [tex]2x^2+y^2/3[/tex]

Where x = 1.5, y = 3

=> 2(1.5)²+(3)² / 3

=> 2(2.25)+9 / 3

=> 4.5 + 9 / 3

=> 13.5 / 3

=> [tex]\frac{13.5}{3}[/tex]

Answer:

1. 31.14

2. 46

Step-by-step explanation:

1. Using order of operations, we first simplify what's in the parentheses, so we do 4.1-(-6.2), or 4.1+6.2. This gives us -5+3.8(10.3). Next is multiplication, so we do 3.8(10.3), which gets us to -5+39.14. Lastly, we add, to get 31.14.

2. First, we solve in the parentheses. Within the parentheses, we do multiplication first, so we first do 3*-2, to get us 8-4(-6+(-13))÷2. Then, we solve inside the parentheses, so we do -6+(-13), to get 8-4(-19) ÷2.

Next, since multiplication and division are on the same level, we go from left to right, so we do -4*-19 first, to get 8+76÷2. Now we do division, to get 8+38. Lastly, we add, to get 46.

Answer:

9) 34.14

10) 46

Step-by-step explanation:

This question is incomplete because the options were not properly written.

Complete Question

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:

A) cos E = 31²+ 39² – 2(31)(39)

C) 56² = 39² – 2(39) ⋅ cos E

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Step-by-step explanation:

From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E

The formula for the Law of Cosines is given as:

c² = a² + b² − 2ab cos(C)

Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:

e² = d² + f² - 2df cos (E)

e = 56

d = 39

f = 31

56² = 39² + 31² - (2 × 39 × 31) × cos E

Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E

Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

[tex]56^2 = 31^2 + 39^2 minus 2(31)(39) cos E[/tex]

Step-by-step explanation:

Hello, I just took the exam got the answer correct

Answer:

S(t) = 2 - 0.25 t

Step-by-step explanation:

i am not explaining :> (me being lazy)

Answer:

The Quotient Property.

Step-by-step explanation:

Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.

You aren't multiplying anything, so you wouldn't use the Product Property.

You are not messing around with powers, so you wouldn't use the Power Property.

And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.

Hope this helps!

Answer:  You will need to find the x-intercepts and the vertex

Step-by-step explanation: Use the information in the factors and some formulae.

The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0

Set each factor equal to 0 and solve:

x-2=0, so x = +2 and x +4 = 0, so x = -4    (you would plot these if creating the graph)

To find the vertex you need the Vertex Formula: x = -b/2a

b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b:  -2x + 4x = 2x  You know a = 1 because x²  will have the implied (missing)(1).

Put the numbers in the Formula: x = -b/2a   x = -(2)/2(1)  -2/2 = -1  

-1 is the "x-value" of the vertex.  

The y value is the 'c' in the quadratic formula. You get that from the  L part of FOIL   -2 × 4 = -8 .

So, your coordinates for the vertex:  ( -1, -8 )

If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.  

Answer:

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Step-by-step explanation:

Given

[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]

Required

Find the equivalent

To find the equivalent of the given expression; we have to apply laws of indices;

As a law;

[tex]a^{-m} = \frac{1}{a^m}[/tex]

So; the expression [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] becomes

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}[/tex]

This is further simplified to

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}[/tex]

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}[/tex]

Combine to form a single fraction

[tex]\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}[/tex]

Multiply numerator

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

The expression can not be further simplified

Hence [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] is equivalent to [tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Answer:

c

Step-by-step explanation:

x has a exponent of -1 after multiplying 1/2 and -2, so x has to be in the denominator of the answer no matter what.

Hope this helped other than the guy above lol

Answer:

I'd think the first one would be correct. To determine whether or not athletes have an increase in vertical leap when wearing the shoes.

I'm not totally sure but this answer just seems the most correct. It would prove if the manufacturers clam is valid. You would have to other brand and models of shoes. You would also have to test the same kind of shoes ie, gym shoe vrs gym shoe instead of gym shoe vrs flip flop.

You would also have to use the different shoe on the same test group of users/athletes to keep a constant.

Hope I help.

Answer:

True

Step-by-step explanation:

For every kilogram, there are 1000 grams

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

Answer:

A

Step-by-step explanation:

there could be no red cards inside

A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.

We have to determine whether the card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not.

He keeps the card, and then makes another selection and sees if the card is a red card or not.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

He continues this process 10 times and counts the total number of red cards that he selects.

We have to determine if it Is a binomial random variable.

There could be no red cards inside.

Therefore, A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.

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Answer:

mean =sum of all data values

total number of data

13+91+44+68+54+16+88+74

8

448

8

=56

therefore the mean is 56

Answer: 51

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

[tex] {w}^{2} - 8w + { {4}^{2} } \\ = {w}^{2} - 8w + \boxed{ 16} \\= (w-4)^2 [/tex]

Answer:

Step-by-step explanation:

a² + 2ab +b² = (a+ b)²

w² - 8w + _?___

a = w

2ab = -8w

2*w*b = -8w

b = -8w/2w

b = 4

8w = 2 * 4*w

w² - 8w + 4² =w² -8w + 16