Find the slope of the line.

Answer:4x1/3=4/3

Step-by-step explanation:

In the pictures there’s 4 one thirds and if u add them together is 4/3

Answer:

Step-by-step explanation:

1.   perpendicular slope will be the negative of the reciprocal

2.  so this will be -3 ( since the reciprocal of 1/3 is 3 and its negative is -3

3.  So use the values given for x and y (3,-4)

4.   substitute in the given equation using the -3 for the slope instead of 1/3

5.  To find a new b we substitute  for x and y

5.  y = 1/3x + 10

6.  -4 =  -3 (3) + b

7.   -4= -9+ b

8. b = 5

Equation of the line will be y = -3x + 5

Answer:

Step-by-step explanation:

Given that:

Find the volume of the cuboid!

Volume equation =

W × H × L =

5/8 × 2/3 × 3/4 =

(5×2×3)/(8×3×4) =

30/96 =

The volume = 5/16 cubic centimetres

____________________

#IndonesianPride - kexcvi

Answer:

1/3 divided by 4

Step-by-step explanation:

Because you start off with 1/3 and then you split it into 4, 1/12's and 4*1/12 is equal to 1/3

So the answer is 1/3 divided by 4

Answer:

x = 25

Step-by-step explanation:

By tangent of properties, we can get that triangle DBA is congruent to triangle DCA,

Thus, we come to the conclusion that 2x + 3 = 53

x = 25

Answer:

-25,-19,-1,0,16,30

Step-by-step explanation:

as you go to the left side of a number line the number get smaller and as you go to the right side of a number line the numbers get bigger (larger).

Hope I got the right answer!

Answer:

-10

Step-by-step explanation:

5(a - b) =

= 5(-4 - (-2))

= 5(-4 + 2)

= 5(-2)

= -10

Answer:

i think its

[tex]P(x) = i ^{3}[/tex]

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

:}

Answer:

Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft.

Step-by-step explanation:

its already an explanation...

Answer:

I believe the answer is B

Step-by-step explanation:

Work for E and F- 20/50=20X2=40                40 divided by 100 is 40%

                                          50X2=100               and 40/100

Answer: A plane has two dimensions because it is a flat surface that has length and width but no depth.

Answer:

Surface answer

Step-by-step explanation:

Because the surface has a length and width and does not have a depth

Answer:

1/14

Step-by-step explanation:

Answer:

aSDFGHJLLMNNBBBBVCDDG

Step-by-step explanation:

Answer:

Telling Now magazine costs the least per issue.

Step-by-step explanation:

Cost of Roller's Magazine per issue=$18/6=$3

Cost of International Traveler per issue=$32/8=$4

Cost of Telling Now per issue=$25/10=$2.5

Cost of Greatest Adventures per issue=$36/12=$3

The cost of Telling Now magazine per issue is the least one of all.

Answer: 803mm

Step-by-step explanation:

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.

Step-by-step explanation: It's A

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.Step-by-step explanation: A

Answer:

Step-by-step explanation:

Sally paints ⅛ of a room per hour.

Steve paints ⅙ of a room per hour.

Working together, they paint ⅛ + ⅙ = 7/24 of the job per hour, finishing in 24/7 hours.

Answer:

Adjacent angles

Step-by-step explanation:

Answer:

D. 60 Miles

Step-by-step explanation:

Answer:

The middle of a line segment

Step-by-step explanation:

Answer:

second option.

Step-by-step explanation:

Answer:

7.065 sq. units

Step-by-step explanation:

The circumference is given, thus you can use the equation 2πr = circumference to find out the radius first, r = 1.5.

Area = πr²

∴The required area is 7.065 sq. units

Answer:

The rate increases at 398mi/h

Step-by-step explanation:

Given

[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance

The given parameters is represented with the attached figure

Using Pythagoras theorem [take the attached image as a point of reference]

[tex]y^2 = x^2 + 1^2[/tex]

[tex]y^2 = x^2 + 1[/tex]

Differentiate with respect to time (t):

[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]

Divide both sides by 2

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)

When y = 2:

[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem

[tex]2^2 = x^2 + 1[/tex]

[tex]4 = x^2 + 1[/tex]

Collect like terms

[tex]x^2 = 4 -1[/tex]

[tex]x^2 = 3[/tex]

Solve for x

[tex]x = \sqrt 3[/tex]

So:

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]

Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]

[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]

[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]

Divide by 2

[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 230*1.7321[/tex]

[tex]\frac{dy}{dt} = 398.383[/tex]

[tex]\frac{dy}{dt} \approx 398[/tex]

Step-by-step explanation:

Mean = 81740

Standard deviation = 4590

Sample size = 15

Alpha level = 1-0.95 = 0.05

Df = 15-1 = 14

Critical value:

alpha/2 = 0.05/2 = 0.05

t0.025

t critical value = 2.145

Margin of error ME

2.145 x 4590/√15

2.145 x 4590/3.873

ME = 2542.09

Confidence interval

Lower CI = mean - ME

= 81740-2542.09

= 79197.91

Upper CI = mean + ME

= 81740+2542.09

= 84282.09

[ 79197.91, 84282.09]

B.

Using excel, exact answer for CI

Lower limit = 79198.142724212173

Upper limit = 84281.8572757827

C.

The assumptions to be made from the population are that

1. Samples are random

2. These samples are gotten from an approximately normal distribution

Answer:

x =√[y²+(27)²] = √[ z² - 3² +(27)²]

Step-by-step explanation:

step 1) x=√[y²+(27)²]

step 2)

We find y

z²=y²+3² → y² = z² - 3²

step 3) x = √[ z² - 3² +(27)²]

Step-by-step explanation:

=4(x-1)-3(2x-5)

=4x-4-6x+16

=4x-6x-4+16

= -2x+12

hope it helps.

Answer:

2x + 11

1.) Distribute

4(x-1)-3(2x-5)

4x -4 -3 (2x-5)

2.) Connect like terms

4x -4 -6x + 15

-2x -4 +15

3.) Calculate

-2x + 11