Fill in the table using this function rule.
y=-6x-1
​

Answer:

150 in^2

Step-by-step explanation:

The ends have the smallest surface area.  The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2

The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.

Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2

Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2

Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.

Height of a rectangular prism [tex]=4[/tex] inches

Width of a rectangular prism [tex]=9[/tex] inches

Length of a rectangular prism [tex]=3[/tex] inches

Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism

Therefore,

Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]

                                                           [tex]=2\left ( 36+27+12 \right )\\=150[/tex]

So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.

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Answer:

y=1.5x

78

Step-by-step explanation:

y=1.5x

y=1.5(52)

y=78

Answer:

It is not linear.

Step-by-step explanation:

If you plug in the coordinates into a graphing calculator, you'll see that after the point (7,2), the line starts to increase. A linear function on a graph is going to be a straight line, not increasing or decreasing. It's consistent. I hope this was helpful.  

Answer: i think the answer is 1.5

Step-by-step explanation:

Answer:

22ft^2

Step-by-step explanation:

I am not sure if this is the correct answer since there were no numbers to the question you wrote out.

Step-by-step explanation:

You should always use the least number of significant figures.  The exception is exact numbers or constants.

For example, there are 60 minutes in an hour.  Even though this number has one significant figure, it is an exact number.  So 15 minutes converted to hours would be 0.25 hr.

Answer:

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the investment = $ 8,000  

Interest rate of the first account= 6% simple  

Interest rate of the second account= 12% simple  

Interest of the accounts in a year = $ 600  

2. How much did he invest in each account?

For answering the question, we will use the following equation:  

x = Amount invested in the first account  

8,000 - x = Amount invested in the second account  

0.06x + 0.12 * (8,000 - x) = 600

0.06x + 960 - 0.12x = 600

-0.06x = 600 - 960 (Subtracting 960 at both sides)

-0.06x = -360

x = -360/-0.06

x = 6,000 ⇒ 8,000 - x = 2,000  

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Answer:

125

Step-by-step explanation:

So saying something went up by 25% means that it is essentially

X + .25X

So in this case X = 100 and .25X = 25

So 100 + 25 = 125

Answer:

81.1

Step-by-step explanation:

The formula to find the cirumference is C=πd

We know d=diameter

so.. C=25.8π

That's gives us 81.053

round it after to approximately 81.1

Answer:

find the equation to find a circumference of circle with that diameter

Step-by-step explanation:

google

Answer:

Ok so im in 7thgrade so ima try to help answer is x= 8x9

Answer:

6²

Step-by-step explanation:

A number squared is a perfect square, thus

6² ← is a perfect square

Answer:

sure

Step-by-step explanation:    

I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph

Answer:

1). x = 10 m

2). x = 15 cm

3). x = 5 yd

4). AB = 10 units

Step-by-step explanation:

1). By Pythagoras theorem in the given triangle,

 a² + b² = c²

 Where 'c' = Hypotenuse

 a and b = Legs of the right triangle

 By substituting measures of the sides in the formula,

 x² = 8² + 6²

 x = [tex]\sqrt{100}[/tex]

 x = 10 m

2). By using Pythagoras theorem in this triangle,

  x² = 9² + (12)²

  x² = 81 + 144

  x = [tex]\sqrt{225}[/tex]

  x = 15 cm

3). By Pythagoras theorem,

  (13)² = x² + (12)²  

  169 = x² + 144

  169 - 144 = x²

  25 = x²

  x = 5 yd

4). If BD is a perpendicular bisector of AC,

  AD = CD = 6 cm

  By Pythagoras theorem in ΔABD,

  AB² = BD² + AD²

  AB² = 8² + 6²

  AB = [tex]\sqrt{100}[/tex]

  AB = 10 units

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

    The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

Answer:

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.

Step-by-step explanation:

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments  = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]

[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105

[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016

[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062

[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432

Answer:

Step-by-step explpointsanation:

Answer:

0.84+122.4x is your answer. hope this helped

Step-by-step explanation:

Answer: x= 3/2 and y= 1/2

Step-by-step explanation:

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x=6

x=6/4=3/2

Plug in x into any one of the given equations to find the value of y:

y=-x+2

y= - (3/2)+2

y= - (3/2)+4/2

y= 1/2

Hope this helps!

The solution to the system of equations will be x= 3/2 and y= 1/2.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given equations are y=−x+2 and y=3x−4 ​to calculate the values of x and y using the substitution method.

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x =6

x =6/4=3/2

Plug x into any one of the given equations to find the value of y:

y =-x+2

Solve for the value of y.

y = - (3/2)+2

y = - (3/2)+4/2

y = 1/2

Hence, the solution for the equation will be x= 3/2 and y= 1/2.

To know more about the system of linear equations follow

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Answer:

E.  lower principal amount​

Step-by-step explanation:

We can use an example to show how this works:

You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.

If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.

Instead, if you make a 20% down payment, your initial principal = $16,000,  and your monthly payment will be $339.95, your total payments = $20,397.16  and the total interests = $4,397.16.

Answer:

Answer:16 students liked ready salted

Step-by-step explanation:

35 students = boys

65 students = girls

Boys:

12/35 like cheese and onion

16/35 like salt and vinegar

7/35 like ready salted

Girls:                  

9/65 like ready salted

25/65 like salt and vinegar

31/65 like cheese and onion

Answer: 12 days

Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day

He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.

He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days

Answer:

The height of the cylinder in 2x units

The area of the cylinder's base is not square units.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

25*0.99 = 24.75

Answer:

C

Step-by-step explanation:

Im taking the test

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Answer:

C

Step-by-step explanation:

On edg 2020

Answer:

Step-by-step explanation:

Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?

and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?

Answer:

c

Step-by-step explanation:

Answer:

A = 27π

P =

Step-by-step explanation:

Well if it follows the same proportions as a square then the dotted line is 6 cm.

                                                      Triangle                                                                

So the area of a triangle is b*h / 2

b = 6

h = 6

6*6 = 36

36 / 2 = 18

A = 18cm^2

So to find the missing side or c we do 6^2 + 6^2 = c^2,

36 + 36 = c^2

72 = c^2

≅8

6 + 6 + 8

= 20cm

                                                       Half circle                                                                  

Now the area of a semicircle is,

pi r^2 / 2

So if the diameter is 6 then the radius is 3.

So we do 3*3 = 9

9 * pi = 9π^2

Perimeter: 6π

____________________________________________________________

Thus,

the area is 27π and the perimeter 26π.

Hope this helps :)

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.