Line $l_1$ represents the graph of $3x + 4y = -14$. Line $l_2$ passes through the point $(-5,7)$, and is perpendicular to line $l_1$. If line $l_2$ represents the graph of $y=mx +b$, then find $m+b$.

Answer:

1/2 cup

Step-by-step explanation:

1 cup is equal to 2 1/2 so that means you use 2 times 1/4 which is 2/4 cups which is equal to 1/2

Answer:

1/2 cup of apple juice

Step-by-step explanation:

Hi,

1/4 cup of apple juice = 1/2 cup of carrot juice

We're trying to find the number of cups of apple juice when the carrot juice is equal to a whole cup. To do this, we have to get 1/2 to a whole number. Simply multiply 1/2 by 2 to get a whole number. Here's what I mean...

1/4 cup of apple juice = 1/2 cup of carrot juice

1/2 x 2 = 1 (whole number)

So, when we have a whole cup of carrot juice we have...

1/4 x 2 (since we multiplied the 1/2 by 2, we have to do the same to the other side).

1/4 x 2 = 1/2

David will use 1/2 cup of apple juice when he makes a cup of carrot juice.

Hope this helps :)

Answer:

152 ft^2.

Step-by-step explanation:

The surface area is made up of 3 rectangles and 2  triangles

= 5 * 8 + 5 * 8 + 6 * 8 + 2 * 1/2 * 4 * 6

=  40 + 40 + 48 + 2*12

= 152.

Answer:

The answer is C.

Step-by-step explanation:

Answer:0.5, 0.5

Step-by-step explanation:

Given

[tex]P(A\cap B)=0.25[/tex]

Also, A and B are independent events. So, we can write that

[tex]P(A\cap B)=P(A)\times P(B)[/tex]

[tex]0.25=P(A)\times P(B)[/tex]

So, the two most possible value of [tex]P(A)\ \text{and}\ P(B)[/tex] are [tex]0.5\ \text{and}\ 0.5[/tex]

Answer:

Step-by-step explanation:

First create an equation that addresses the question and work backwards.

Randel starts with $10.

He spent $38, so he originally had $48. (10+38)

He had 3 times as much money than Tonia. (48/3)

48/3=16, so Tonia has $16.

Answer:

-26.5

Step-by-step explanation:

(53/|2/2|)/3(1)-5

=(53/1)/3-5

=(53)/-2

=-26.5

Answer:

$32

Step-by-step explanation:

Answer:

5.5 cm

Step-by-step explanation:

The volume of a prism is the area of a base multiplied by the height of the prism.

V = base area x height

264 = 48 x h

h = 264÷48= 5.5 cm

Answer:

The height of the prism is 5.5 ft

Step-by-step explanation:

The formula for the volume of a triangular prism of base area b and height h is

V = (1/3)(b)(h).

Here we are told that V = 264 ft³.  Thus,

V = 264 ft³ = (48 ft²)(h).

Solving for h, we get:

       264 ft³

h = ------------- = 5.5 ft

       48 ft²

The height of the prism is 5.5 ft

Answer: 87.6719183867

Step-by-step explanation:

Exact Form: √ 7686.3652736

Decimal Form: 87.67191838 …

Step-by-step explanation: The radical cannot be simplified, but it can be approximated.

Give me brainliest or a thank you pls :)

Answer:

Step-by-step explanation:

The area of a square is x²

This means it is  x² = 64cm²

x= 8cm <------ One side

Since it is a square, all sides are the same length.

8*4 = 32cm

Side of the square: 8 cm

Perimeter: 32cm

Answer:

undefined

Step-by-step explanation:

( -4, 6) & (-4, -2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (-4 -  (-4))

Simplify the parentheses.

= (-8) / (-4 + 4)

= (-8) / (0)

Simplify the fraction.

-8/0

= undefined

This slope is undefined because you cannot divide a number by 0. These points also fall on a vertical line, which has an undefined slope.

Hope this helps!

Answer:

78cm

Step-by-step explanation:

multiply 10 and 7.8

Answer:

The graph would be y=0.5x+5

Step-by-step explanation:

0.5 is the slope since it can change anythime and 5 stays the same so therefore it is the y-intercept. :)

Answer:

a house?

Step-by-step explanation:

Answer:

answer c for question 9 answer

Answer:

empty spaces in order from left to right are 16,12,42

Step-by-step explanation:

because your adding one to the 5 so you add one to the 15 then your × by 12 bc 3×12 is 36 and × by 12 on the top so 6×12 then last one ur adding 6 because 12+6 is 18 and what ever you do to the top or bottom you do the the bottom or top

Answer:

[tex]3 \sqrt{7} [/tex]

Step-by-step explanation:

1) Rewrite 63 as its prime factors.

[tex] \sqrt{3 \times 3 \times 7} [/tex]

2) Group the same prime factors into pairs.

[tex] \sqrt{(3 \times 3) \times 7} [/tex]

3) Rewrite each pair in exponent form.

[tex] \sqrt{ {3}^{2} \times 7 } [/tex]

3) Use this rule

[tex] \sqrt{ {x}^{2} } = x[/tex]

[tex]3 \sqrt{7} [/tex]

Answer:

x² + 9x + 8

Step-by-step explanation:

To find the area of a rectangle, we want to multiply the length by the width.

First let's recognize the expressions of each side.

Let's multiply.

(x + 8)(x + 1)

FOIL: first – outer – inner – last

x² + x + 8x + 8

Simplify like terms.

x² + 9x + 8

This is your area.

Answer:

A = 60 sq meters

Step-by-step explanation:

A = 1/2(20)(6)

A = 10(6)

Answer:

center( -2,-10)

radius:6

Step-by-step explanation:

I hope this helps.

Answer:

1 and 5

Step-by-step explanation:

So basically corresponding angles are the angles which lie on the same line of the transversal

And also one of them will be an interior angle and the other a exterior angle

Answer:

D

Step-by-step explanation:

Answer:

[tex]\pi/4[/tex]

Step-by-step explanation:

The volume of a cone is [tex]\pi r^2h/3[/tex]. We have that [tex]r=1[/tex] and [tex]h=3/4[/tex]. Therefore, the volume is [tex]\pi/4[/tex].

The smallest number is x = 11/3. The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.

Given that the mean of 5 numbers is 11. The numbers are in the ratio 1:2:3:4:5. We need to find the smallest number. We can start solving the problem by following these steps:

Step 1: Let us assume the smallest number to be x.

Step 2: According to the question, the numbers are in the ratio 1:2:3:4:5. Hence, the other four numbers can be written as 2x, 3x, 4x, and 5x.

Step 3: The mean of these 5 numbers is given as 11.

Therefore, we can write:(x + 2x + 3x + 4x + 5x)/5 = 11.

Step 4: Simplifying the above equation, we get:15x/5 = 11x = 11/3.

Step 5: Therefore, the smallest number is x = 11/3.

The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.

For more question on ratio

https://brainly.com/question/12024093

#SPJ8

Answer:

7 mi.

Step-by-step explanation:

Answer:

r=2,n=7

Step-by-step explanation:

The formula for the sum of the nth term of a Geometric Progression is given as:

Sn = a(1-r^n)/(1-r)

Where n = Number of terms

r = Common ratio

From the above question, we are told that:

The sum of the 1st nth term gp is 127.

Hence:

127 = 1(1-r^n)/(1-r)

We are also told that:

The sum of the reciprocal is 127/64

This means the inverse, the formula is given as:

Sn = 1/a(1-r^n)/(1-r)

127/64 = 1(1-1/r^n)/(1-1/r)

= r^(1-n)(1-r^n)/(1-r)

Solving the above, we obtain:

r^(n-1) = 64

r^(n-1) = 2⁶

Hence:

r = 2

Solving for n

n - 1 = 6

n = 6 + 1

n = 7

Therefore:

r=2,n=7

Answer:

i think its 43?

Step-by-step explanation: