Car A travels at a rate of 45 miles per hour.
Car B travels at a rate of 80 miles in 2
hours. Find the unit rate of each car. Which
car is traveling faster?

Answer:

You have to ask a question

Step-by-step explanation:

Answer:

Five units right and three units up.

If you notice there's a ' on the green triangle (a',b',c')

That means that the blue triangle was translated to get to the green triangle

Answer:

[tex]5q^8y^{16}\sqrt{5qy}[/tex]

Step-by-step explanation:

[tex]\sqrt{125q^{17}y^{33}} =\sqrt{5*5^2*q*q^{16}*y*y^{32}}=5q^8y^{16}\sqrt{5qy}[/tex]

Answer:

The answer is 340 ft²

To find the total area we make two squares and a big rectangle.

1st square

3x5=15

2nd square

5x5=25

Rectangle

20x15=300

Total Area

15+25+300 = 340ft²

Answer:

6

Step-by-step explanation:

Since this problem is easier, you can just do counting or you can use 3!

Which is 6

Answer:

195.5 m²

Step-by-step explanation:

A = bh/2

A = (23)(17)/2

A = 391/2

A ≈ 195.5 m²

Answer:

3 2/4

Step-by-step explanation:

1 3/4 + 1 3/4 = 6 2/4

because 3/4 +3/4 = 6/4 = 1 2/4

and 1+1+1 =3

Answer:  [tex]3 \frac{1}{2}[/tex]

This is the same as writing 3 & 1/2 to mean "3 and a half".

Check out the diagram below. I've shaded the pizza slices to represent the mixed numbers being added. Notice in the bottom row I've moved one red slice over to make a full pie. Overall we have 3 full pies plus an extra half, when all is said and done.

Answer:

right angle triangle

Step-by-step explanation:

by applying Pythagoras theorem

[tex] RHS ={9}^{2} + 12 ^{2} = 81 + 144 = 225=√225 =15=LHS[/tex]

hence proved

Answer:

congruent

Step-by-step explanation:

if r_1=r_2 then, they should be the same... -congruent

Answer:

No Because the curve indicates that the rate of change is not constant!

Step-by-step explanation:

Linear functions are straight lines diagonally!

This function shows a rate of growth through time which isn't describing constant growth.

Constant = Linear

Answer:

the answer is 1/27. C :))

Answer:

22

Step-by-step explanation:

22 is the area of the given traingle

Answer:1

Step-by-step explanation:

terms are separated by + or - signs

Answer:

Step-by-step explanation:

Answer:

(6 ± 3i)/5

Step-by-step explanation:

12x = 9 + 5x²

5x² - 12x + 9 = 0

Method 1

Factors that add to = b (-12) and multiply to = ac (45):  3 and -15

5x² + 3x - 15x + 9 = 0

5x(x - 3) + 3(x + 3) = 0

(x-3) and (x+3) do not match !!!!

Method 2 - Quadratic Formula

-b ± √(b² - 4ac)/2a

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √(144 - 180)/10

12 ± √-36/10

(12 ± 6i)/10

(6 ± 3i)/5

I hope this helps!

The set of data that might produce one of more gaps on thr histogram are:

A histogram is a graphical representation of data such that the data is organized by data points into user-specified ranges.

The categories of people highlighted above will cause gaps because there is an increased likelihood that their ages will vary greatly or be distanced from the mean.

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Answer: 5

Step-by-step explanation:

Answer:

It would take about 60 hours to decay so that only 50g of the sodium remains

The half life is 15 hours and there are 800 g initially. Let N(t) represent the amount of sodium after t hours. Hence:

[tex]N(t)=800(\frac{1}{2} )^\frac{t}{15} \\\\For\ 50g\ to \ remain:\\\\50 = 800(\frac{1}{2} )^\frac{t}{15}\\\\t=60\ hours[/tex]

It would take about 60 hours to decay so that only 50g of the sodium remains

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Answer:

B. y = -|x - 2| + 5

Step-by-step explanation:

Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.

y = - |x - 2| + 5

hope this helps!! p.s. i really need brainliest :)

Step-by-step explanation:

1) the length of the side is:

[tex]\frac{4-\sqrt{2} }{\sqrt{2}}=2\sqrt{2}-1.[/tex]

2) the required perimeter is:

[tex]P=4(2\sqrt{2} -1)=8\sqrt{2} -4.[/tex]

3) the required area is:

[tex]A=(2\sqrt{2} -1)^2=9-4\sqrt{2}.[/tex]

Answer:

Side length = (2√2 - 1) units

Perimeter = (8√2 - 4) units

Area = (9 - 4√2) units²

Step-by-step explanation:

Properties of a square:

The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse, and the sides of the square being the 2 legs.

Let x = side length of the square

Using Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ x² + x² = (4 - √2)²

⇒ 2x² = 18 - 8√2

⇒ x² = 9 - 4√2

⇒ x = ±(2√2 - 1)

⇒ x = 2√2 - 1  only (as distance is positive)

Perimeter of a square = 4x

                                    = 4(2√2 - 1)

                                    = 8√2 - 4

Area of a square = x²

                            = (2√2 - 1)²

                            = 9 - 4√2

Answer:

Step-by-step explanation:

Here, I will instead go through the process for finding the probability of choosing two girls. Then once you understand how it was done, hopefully you will be able to answer the actual question for yourself.

Probability of choosing the first girl. (Note: the letter chosen to represent the event is not important. Pick something that makes sense to you and be consistent)

So the number of girls we know to be 11. What is the number of total outcomes? Well a boy or a girl can be chosen, and there are 14 boys and 11 girls, for a total of 25 students.

Let's find the probability of choosing the second girl from here.

However, this time things have changed. We've already chosen one girl, so the number of girls remaining to choose from is reduced 11 to 10. And the total number of students to choose from is reduced from 25 to 24.

Now we have the probability of choosing the first girl and the probability of choosing the second girl. From here, we just need to combine them to find the probability of both things happening together. To calculate the probability of two different events occurring, you multiply the two probabilities together.

 Probability of choosing two girls. Let's use T for Two girls.

     P(T) = P(G1) × P(G2) = (11 /25) × (10/24)

From here you can use a calculator to find the answer. This answer can either be written as a fraction, a decimal, or a percentage.

                   = 0.19     = 19 / 100      = 19%

Answer: multiply 10 to both terms and subrtact products

Step-by-step explanation:

10(5 - 2x)

multipy 10 to both terms

50  20x

subtract products

50 - 20x

Answer:

1. subtract 2×from get 3.×= 682+ 4672

The market share of the companies is an illustration of fractions.

The market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively

The current market shares are:

After 6 months, we have:

Company A:

Company B:

Company C:

The amount of customers lost by each company is

Lost = Market share * [Share retained - Share lost to the other two companies].

So, we have:

A = 2/9 * [3/4 - 1/6 - 1/12] = 1/9

B = 4/9 * [1/2 - 1/3 - 1/6] = 0

C = 1/3 * [3/8 - 1/4 - 3/8] = -1/12

The amount of customers gained by each company is

Gain = Market share of company gained from * Share gained

So, we have:

A = 1/3 * 4/9 + 1/4 * 1/3 = 25/108

B = 1/6 * 2/9 + 3/8 * 1/3 = 35/216

C = 1/12 * 2/9 + 1/6 * 4/9 = 5/54

The total gain in 6 months is:

Total Gain = Gain + Loss.

This gives

A = 25/108 + 1/9 = 37/108

B = 35/216 + 0 = 35/216

C = 5/54 - 1/12 = 1/108

Hence, the market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively

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Check the picture below.

so we can say that two sides are "4" each in length, since opposite sides are equal, let's find how long the slanted sides are.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-4)]^2 + [5 - 2]^2}\implies d=\sqrt{(3+4)^2+3^2} \\\\\\ d=\sqrt{49+9}\implies d=\sqrt{58} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{4~~ + ~~4~~ + ~~\sqrt{58}~~ + ~~\sqrt{58}\implies 8+2\sqrt{58}}[/tex]

The age of Nina and sam are 15years and 10 years respectively now

They consists of equations and unknown variables

Let their current age be x and y

If five years ago, Nina was twice as old as Sam then;

x - 5 = 2(y-5)

If in five years she will be 1.5 times as old as Sam, then;

x = 1.5y

Substitute

1.5y - 5 = 2y -10

-0.5y  = -5

y =5/0.5

y = 10

Since x = 1.5y

x = 15years

Hence the age of Nina and sam are 15years and 10 years respectively now

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#SPJ2

Answer:

[tex]0.83[/tex]

Step-by-step explanation:

[tex]6.64 \div 8[/tex]

[tex]0.83[/tex]

Answer:

The answer should be C.)0.83, hope this helps.

The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.

The test statistic can be calculated using the formula below

[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} }[/tex]

Solving for the mean and standard deviation, we can substitute the values into the above equation which will be

[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} } = 6.274[/tex]

Using the data from the test statistic, we can calculate the p-value of the data

[tex]p-value = p(z < 6.274)= 0.0001 = 0.00[/tex]

From the calculation above, the test statistic and p-value of the given data are

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The value of x in a 18-gon that has an interior angle measurement of 2x - 6 is 55.33

Polygons are 2-dimensional shapes that are made of straight lines.

Therefore,

sum of interior angle of polygon = 180(n - 2)

where

Therefore,

sum of interior angle of polygon = 180(18 - 2)

sum of interior angle of polygon = 180(16)

sum of interior angle of polygon = 2880

Since, it is a 18-gon, the value of x can be found as follows;

2880  / 18 = 160 degrees

Therefore,

3x - 6 = 160

3x = 160 + 6

3x = 166

x = 166  /3

x = 55.3333333333

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