Draw the rectangle with vertices (2,1), (5,1), (5,3), (2,3)

The solutions to the inequality (k - 3)/4 > -2 are k = -1 and k = 0. This is determined by solving the inequality step by step and checking each given value.

To find the solutions, we need to solve the inequality step by step:

Now we find the values from the given options that satisfy k > -5:

Thus, the values that are solutions to the inequality are k = -1 and k = 0.

The complete question is

Which values are solutions to (k - 3)/4 > - 2' Select two options.

k = - 10

k = - 7

k = - 5

k = - 1

k = 0

The x-intercepts of the function are (0,0) and (-2,0). Therefore, options A and C are correct.

To determine the x-intercepts of a function, we need to find the values of x when the function value, f(x), is equal to zero. Therefore, we need to plug in 0 for f(x) and solve for x.

From the given points, we can see that the function passes through the points (-2,0), (0,0), and (1,0), (2,0). Therefore, the x-coordinates of these points are the possible x-intercepts of the function.

Setting f(x) to zero for each of the points, we get:

At (-2,0): f(-2) = 0, so x = -2 is an x-intercept.

At (-1,-2): f(-1) = -2, so x = -1 is not an x-intercept.

At (0,0): f(0) = 0, so x = 0 is an x-intercept.

At (1,0): f(1) = 0, so x = 1 is an x-intercept.

At (2,0): f(2) = 0, so x = 2 is an x-intercept.

Therefore, the x-intercepts of the function are (0,0) and (-2,0).

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Step-by-step explanation:

(i) Area of the first cross section

base,b = 8 m, height,h = 10 m

Area of the triangle = [tex]\frac{1}{2}[/tex] bh

area =  [tex]\frac{1}{2}[/tex] (8) (10)

area = 40 m²

(ii) Area of the second cross section

base,b = 12 m, height,h = 10 m

Area of the triangle = [tex]\frac{1}{2}[/tex] bh

area =  [tex]\frac{1}{2}[/tex] (12) (10)

area = 60 m²

Difference in the areas of the cross sections = 60 - 40 = 20 m²

Answer:

84*(1/4)^x

Step-by-step explanation:

84 is the constant as it is the starting amount. However each round (x because the amount of rounds is constantly changing) divides the team by 4 or multiplies by 1/4 (Reciprocal).

So, if you wanted to see if the amount of teams after three rounds you would do:

84 * 1/4 * 1/4 * 1/4. However, any number times itself is an exponent, so we would simplify to 84³. But due to the fact we do not know how many rounds we are going to calculate we change the exponent to x.

Answer:

[tex]x = \frac{40}{-30\\}[/tex]

Step-by-step explanation:

Lets start by working with our numbers on the right side of the equation.

Begin by using distributive property, turning:

2x = 8(4x - 5) into 2x = 32x - 40

To make things easier, lets subtract 32x on both sides

-30x = 40

Finally, divide by -30 on both sides to get our answered, simplified if necessary:

[tex]x = \frac{40}{-30} = \frac{4}{-3} = -1.33[/tex]

Answer:

56π = 175.929, so no.

Step-by-step explanation:

Surface area formula: 2B+Ph (where B is area of the base, P is perimeter of the base, and h is height.)

2(4π) + 4π(12)

8π +48π

56π = 175.9 ft^2

Answer:

270°

Step-by-step explanation:

Q: (2,-1) --> (-1,-2)

R: (5,-2) --> (-2,-5)

S: (4,1) --> (1,-4)

In general

(x , y) --> (y, -x)

90° clockwise rotation

270° anti-clockwise rotation

Answer:

The correct answer is 270°

Answer:

D

Step-by-step explanation:

I just did it on usatestprep so. its D

Answer:

d

Step-by-step explanation:

The value of the exponential function will eventually exceed the value of the linear function. A quantity increasing exponentially eventually exceeds a quantity increasing linearly.

Answer: the answer is C

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

0.5x-0.3=0.2

1. Multiply both sides by 10.

0.5x*10-0.3*10=0.2*10

2. Refine.

5x-3=2

3. Add 3 to both sides.

5x-3+3=2+3

4. Simplify.

5x=5

5. Divide both sides by 5.

5x/5=5/5

6. Simplify.

x=1

Answer:

Step-by-step explanation:

0.5x  - 0.3 = 0.2

add 0.3 to both the sides

0.5x - 0.3 + 0.3 = 0.2 + 0.3

0.5x + 0 = 0.5

0.5x = 0.5

[tex]x=\frac{0.5}{0.5}\\\\x = 1[/tex]

Answer:

7 kg

Step-by-step explanation:

16000g = 16kg

9000g = 9kg

16 - 9 = 7kg

Answer:

The mass of the other box=7kg

Step-by-step explanation:

Subtract 16-9, and add 3 zeros or just write kg.

Answer: Most planes flew below the optimal cruising speed. There is a cluster at the speeds 0.82 through 0.85. Also, the data is close to being symmetric

Step-by-step explanation:

Answer:

The chest is 2 feet deep.

Step-by-step explanation:

Given:

Aponi built a toy chest for her niece. It has a volume of 12 cubic feet, the chest is 3 feet long and 2 feet wide.

Now, to find the depth of it.

Length = 3 feet.

Width = 2 feet.

Volume = 12 cubic feet.

Now, to find the depth by using formula:

[tex]Volume= length\times width\times depth\\\\12=3\times 2\times depth\\\\12=6\times depth\\\\Dividing\ both\ sides\ by\ 6\ we\ get:\\\\2=depth\\\\Depth=2\ feet.[/tex]

Therefore, the chest is 2 feet deep.

Answer:

2

Step-by-step explanation:

The slope given two points is found by

m= (y2-y1)/(x2-x1)

   = (2 - -6)/(2 - -2)

   =(2+6)/(2+2)

   =8/4

    2

Answer:

2/7

then 2/14

Step-by-step explanation:

Let P(H)=p be the probability of one head. In many scenarios, this probability is assumed to be p=12 for an unbiased coin. In this instance, P(H)=3P(T) so that p=3(1−p)⟹4p=3 or p=34.

You are interested in the event that out of three coin tosses, at least 2 of them are Heads, or equivalently, at most one of them is tails. So you are interested in finding the likelihood of zero tails, or one tails.

The probability of zero tails would be the case where you only received heads. Since each coin toss is independent, you can multiply these three tosses together: P(H)P(H)P(H)=p3 or in your case, (34)3=2764.

Now we must consider the case where one of your coin flips is a tails. Since you have three flips, you have three independent opportunities for tails. The likelihood of two heads and one tails is 3(p2)(1−p). The reason for the 3 coefficient is the fact that there are three possible events which include two heads and one tails: HHT,HTH,THH. In your case (where the coin is 3 times more likely to have heads): 3(34)2(14)=2764.

Adding those events together you get p3+3(p2)(1−p)=5464. Note that the 3 coefficient

Answer: 64 cups

Step-by-step explanation:

Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)

Answer:

Step-by-step explanation:

The lower cortile is 19 because that's the lowest number and the medium cortile is 24 because it's in the middle.

Answer:

the slope that is perpendicular to line y=-7x-12 is 1/7

1/7 is the perpendicular slope

Step-by-step explanation:

Answer:

y=3,x=1.3,z=6.2 :)

Step-by-step explanation:

y=3,x=1.3,z=6.2 :)

So, we have:

   : x+y+z=10 [equation 1]

   : 5x+3y=14  [equation 2]

   : x−2y+z=2.5 [equation3]

(I'm going to assume that you know how to solve equations with 2 variables)

1. eliminate a variable to get 2 variables

Let's reverse equation 2:

-x+2y-z= -2.5

and take equation 1, to try to eliminate "z"

x+y+z=10

add up the 2 equations to get:

3y=7.5

and solve to get

y=2.5

2. substitute what we already solved into another equation

Luckily, equation 2 only has 2 variables, and one is y, so we can sub it in.

5x+3y=14 --> 3x+3(7.5)=14

solve to get

x=1.3

3. Substitute both of our variables in to get the final variable: z

Let's take the first equation.

x+y+z=10 --> 1.3+2.5+z=10

solve to get

z=6.2

I hope this helps you!

Answer:

Yes, because 3,074.6 rounded would be closest to 3,000

Step-by-step explanation:

San Jose to Denver is 1,281 miles

Denver to Chicago is 1,004.7 miles

Chicago to new york city is 788.9 miles

When added up the total mileage is 3,074.6 miles

Answer:

Yes

Step-by-step explanation:

San Jose to Denver is 1281 miles

Denver to Chicago is 1002 miles

Chicago to New York is 789 miles

1281+1002+789 =3072

3000 miles is a close estimate

Our estimate is within 100 miles so I would say it is close

Answer:

A rational number is a number that can be express as the ratio of two integers.

Step-by-step explanation:

A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever).

Set 1 mean - 23.625

Set 2 mean - 23.5

Set 1 median - 23.5

Set 2 median - 22.5

This shows the answer is D :)

Answer:

Look at the picture

Step-by-step explanation:

The answer is B. -9

[tex] \frac{59 + x}{2} = 78 \\ 59 + x = 156 \\ x = 97[/tex]

Answer: VW=97

Answer:

-6

Step-by-step explanation:

-8  - (-2)

A negative negative is a positive

-8+2

-6

Answer:

-6

Step-by-step explanation:

(-8) - (-2)

(-8) + 2 >>because - ( - ) = +

2 - 8

= -6

Hope this helps!

Remember:

- (-) = +

- (+) = -

+ (+) = +

Answer:

28

Step-by-step explanation:

you times it by itself divide that by two and take the squre root

The are of the given heptagon is 243 u³.

In the given polygon,

Number of sides = 7

Hence this is a heptagon, which has,

Length of edge = 9 unit

Polygons are two-dimensional geometric figures with a fixed number of sides. A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges.

Since we know that,

Area of heptagon = (7 / 4) × edge² × cot(π/7)

Therefore,

Area of heptagon = (7 / 4) × 9² × cot(π/7)

                              = (7/4) x 81 x 2.07

                              ≈ 243 u³

Hence,

The area is approximately 243 u³

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