Abigal found that she can drive 140 miles in 3 hours, including rest stops, on intersate highway. How long would it take her to drive the interstates from cleveland, ohio, to washington dc which is 350 miles?

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

Let's check :

Answer:

a) 280°

b) Ans - (D) P is North East of Q

Answer:

x = 3.9

Step-by-step explanation:

x/1.5 = 2.6

Multiply both sides by 1.5

x/1.5 × 1.5 = 2.6 × 1.5

x = 3.9

Answer:  3.9

Step-by-step explanation:

Answer:

No I don't agree with Clare.

You will get more than 11 yards

Step-by-step explanation:

Answer:

.50

Step-by-step explanation:

32/64=.5. Since it is asking for the 100th place, you would add a decimal at the end.

Answer:

50

Step-by-step explanation:

so first do 32 divided by 64 then round it to the nearest 100.

Answer:

Part A:

The vertex :  x = - b / 2 a = - 28 : ( - 2 ) = 14

y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4

The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Part B :

We will solve the quadratic equation:

x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )

x 1 = 12,  x 2 = 16.

It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even. 

I think

The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry

Given,

[tex]f(x) =-x^{2} +28x-192[/tex]

Vertex

x= [tex]-\frac{b}{2a}[/tex]

x= [tex]-\frac{28}{2(-1)} =14[/tex]

y= [tex]-14^{2}+28(14)-192 =4[/tex]

Vertex (14,4)

It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

Learn more about Quadratic function and Vertex of quadratic function here

https://brainly.com/question/16245526

#SPJ2

Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

Answer:

22

Step-by-step explanation:

x-1 is a midsegment.

According to the Triangle midsegment theorem, x-1 is half of the third side (42)

x-1 = 42/2

x-1 = 21

x= 22

or

2x-2=42

2x=44

x=22

Hope this helps!

If you look at the top sides and bottom sides of both figures, this means that they are the same or similar.

In this figure, they are similar because one side is half of the other.

So... divide the longer length in half and solve for x.

42 / 2 = 21

x - 1 = 21

x - 1 + 1 = 21 + 1

x = 22

Therefore, the answer is C.

Best of Luck!

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

Answer:

frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces

Step-by-step explanation:

since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz

Answer:

3x3 +5x2

Step-by-step explanation:

f(x).g(x)

(3x+5)(x2)

(3x×x2)(5×x2)

3x3+5x2

Answer:

9

Step-by-step explanation:

x2 + 3

(3)2 + 3

6 + 3

9

Answer:

12.

Step-by-step explanation:

x = 3; x^2 + 3.

(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12

Hope this helps!

Answer:

y= -5

y= -2

y= 1

y= 4

Step-by-step explanation:

plug in the values of x into the equation

The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.

A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.

The given linear equation is

[tex]y = 3x - 2[/tex]

The given values of [tex]x = - 1, 0, 1, 2[/tex].

For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]

For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]

For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]

For [tex]x = 2, y = 3(2) - 2 = 4[/tex]

Therefore, the table will be:

   x        y

 - 1      - 5

   0     - 2

   1        1

   2       4

Learn more about linear equation here: https://brainly.com/question/17034467

#SPJ3

Step-by-step explanation:

1, vertical- axis intercept is the water at the beginning

3, she should have included the y-intercept and x-intercept of the linear function

Answer:

61.5

Step-by-step explanation:

-3 (t-8)+1.5

-3 (-12-8)+1.5

-3 (-20)+1.5

60+1.5= 61.5

The value of expression will be;

⇒ - 58.5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3 | t - 8 | + 1.5

And, The value of t = - 12

Now,

The expression is,

⇒ - 3 | t - 8 | + 1.5

Put t = - 12, we get;

⇒ - 3 | - 12 - 8 | + 1.5

⇒ - 3 | - 20 | + 1.5

⇒ - 3 × 20 + 1.5

⇒ - 60 + 1.5

⇒ - 58.5

Thus, The value of expression will be;

⇒ - 58.5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

2688 $ will be added. Therefore, the cost will be 44688 $.

Step-by-step explanation:

6.4% of 42000$ (a) / 100%=2688 $ (b).

a + b = 44688 $.

Answer:

I think this is the distributive property.

Step-by-step explanation:

Answer:

A, C, E, G

Step-by-step explanation:

Answer:

y = 2x - 5

Step-by-step explanation:

Step 1: Find slope m

m = (-1 - 3)/(2 - 4)

m = -4/-2

m = 2

y = 2x + b

Step 2: Find b

-1 = 2(2) + b

-1 = 4 + b

b = -5

Step 3: Rewrite equation

y = 2x - 5

Answer:

7% of 33= 2.1

2% of 640= 12.8

15% of 470=70.5

7/9 of 51= 119/3

.52 of 62= 32.24

Answer:

1) 2.31

2) 12.8

3) 72

4) 44.625

5) 32.24

Step-by-step explanation:

7% of a number is simply 0.07*the number.

7/8 is just .875*the number

Hope it helps <3

Answer:

  Eva used a side dimension instead of the height.

Step-by-step explanation:

The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.

Eva multiplied the base by the side height, not the actual height.

Step-by-step explanation:

The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.

Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)

Extract the normal vectors from the given planes:

[tex]-2x+y+z+2=0\implies\vec n_1=(-2,1,1)[/tex]

[tex]x+y-3z+1=0\implies\vec n_2=(1,1,-3)[/tex]

(which are unique up to their signs, meaning either [tex]\vec n_1[/tex] or [tex]-\vec n_1[/tex] are valid choices for the normal vector)

The third plane must be perpendicular to both these given planes, which means it would be parallel to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex], which in turn means its own normal vector [tex]\vec n_3[/tex] should be perpendicular to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex].

Enter the cross product:

[tex]\vec n_3=\vec n_1\times\vec n_2=(-4,-5,-3)[/tex]

or (4, 5, 3), which also works.

The given plane passes through (-1, 1, 4), so its equation is

[tex](x+1,y-1,z-4)\cdot\vec n_3=0[/tex]

Simplify:

[tex](x+1,y-1,z-4)\cdot(4,5,3)=0[/tex]

[tex]4(x+1)+5(y-1)+3(z-4)=0[/tex]

[tex]\boxed{4x+5y+3z=13}[/tex]

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(16)(4)[/tex]

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

Equation of the line using point ( -1 , 2) and slope 3/2 is

Hope this helps you

Answer:

Below

Step-by-step explanation:

a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.

So the equation for the first one is y = -(1/3)x

To find what x equals when going through the point (x, 4), plug in 4 for y and solve

y = -(1/3)x

4 = -(1/3)x

4/-(1/3) = -(1/3)x/-(1/3)

-12 = x

So, when y = 4, x = -12

b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.

This makes the second equation y = -4x

Then plug 4 in for y again, instead using -4 as the slope

y = -4x

4 = -4x

4/-4 = -4x/-4

-1 = x

This shows that when y = 4, x = -1

Answer:

4 sqrt(7)

Step-by-step explanation:

We can use the leg rule

hyp            leg

------- = -------------------

leg          part

9+7          z

------- = -------------------

z          7

Using cross products

(9+7) *7 = z^2

16*7 = z^2

112 = z^2

Taking the square root of each side

sqrt( 16*7) = sqrt(z^2)

4 sqrt(7) = z

Answer:

you need 36cups of flour

Step-by-step explanation:

3 cups of flour = 8 ounces of water

x cups of flour = 96 ounces of water

96*3 =8x

288 =8x

288/8=36

x=36

Answer: