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Answer:

5x -3y + 11 = 0 .

Step-by-step explanation:

Firstly let's find the slope of the line by converting the equation into slope intercept form as ,

=> 3x +5y = 7

=> 5y = 7 - 3x

=> y = (7-3x)/5

=> y = -3/5x + 7/5

=> m = -⅗

Now the slope of the line perpendicular to this line will be , say m'

=> m' =- 1/m

=> m' = -1/-⅗

=> m = 5/3

=> ( x - x1) m = ( y - y1)

=> ( x - (-1)) × 5/3 = y - 2

=> ( x +1)×5 = 3( y -2)

=> 5x + 5 = 3y -6

=> 5x - 3y +5 +6=0

=> 5x -3y +11 = 0

Step-by-step explanation:

velocity = distance/time taken

distance=velocity ×time taken

distance=80×4

distance=320kilometers

Answer:

the median of this list is 78

Answer:

O y = 2x + 3

Step-by-step explanation:

Answer:

192 is the answer

Step-by-step explanation:

Answer:

SA = 272 sq in

Step-by-step explanation:

SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)

= 2(16) + 2(96) + 2(24)

= 32 + 192 + 48

= 272 sq in

Answer:

Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle

Step-by-step explanation:

thank you

Answer:

H0 : μ = 18000

H1 : μ < 18000 - - - > Claim

Test value = - 3.578

Critical value = ±2.58

There is significant evidence to accept the claim that mean debt at graduation is less than $18000

Step-by-step explanation:

H0 : μ = 18000

H1 : μ < 18000

From the data:

Sample size, n = 30

Sample mean, x = 16298.37

The test statistic :

(16298.37 - 18000) ÷ (2605/sqrt(30))

−1701.63 / 475.60575

= - 3.578

The critical value :

Using the standard normal table;

Critical value at α = 0.01

Critical value = ±2.58

Decison region :

|test statistic | > |Critical value | ; reject H0

|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000

Answer: 512

Step-by-step explanation:

Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.

The surface area of the design is 384 inches².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

The given design is a cube.

All the sides are of the length 8 inches.

The formula to find the surface area of a cube is,

Surface area = 6a², where "a" is the length of a side of the cube.

Given, a = 8 inches

Surface area of the design = 6 × 8²

                                             = 6 × 64

                                             = 384 inches²

Hence the given design has the surface area of 384 inches².

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You can find the volume of a sphere by multiplying the volume of a cylinder by 4/3: D. sphere.

Mathematically, the volume of a sphere can be calculated by using this formula:

V = 4/3 × πr³

Where:

Note: The volume of a cylinder is equal to πr² × r.

Thus, 4/3 × πr² × r = 4/3 × πr³ (Volume of a sphere).

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × πr²h

Note: The volume of a cylinder is equal to πr²h.

Therefore, 1/3 × πr²h (volume of a cone).

Mathematically, the volume of a pyramid is calculated by using this formula:

Volume = 1/3 × base area × height

Volume = 1/3 × πr²h.

In Geometry, the length of a rectangular prism and the height of a rectangle pyramid are the same. Thus, the length of this rectangular pyramid is equal to 10 cm.

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × πr²h

V = 1/3 × 3.14 × 6² × 10

Volume, V = 376.8 cm³.

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Answer:

statistic

Step-by-step explanation:

Answer:

16,000, percentage increased by 20% (percent) of its value = 19,200

Step-by-step explanation:

Answer:

Hope the answer is by substracting

15999.8

Answer:

-1/3

Step-by-step explanation:

Find two points on the line  (0,2) and (3,1)

Using the slope formula

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

   = (1-2)/(3-0)

   = -1/3

Answer:

A

Step-by-step explanation:

1) take two points of the line

A(0,2) ; B(3,1)

2) use this formula for find the slope

(y2-y1)/(x2-x1)

(1-2)/(3-0)

slope = -1/3

Answer:

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Step-by-step explanation:

We are given the following functions:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = x - 4[/tex]

Which value is equivalent to f x g?

We multiply these functions, applying the distributive property. So

[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Answer:

5 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

5y+8=-6

-8

5y=-14/5

y=-2.8

Answer:

y = - 2.8

[tex]y=-2\frac{4}{5}[/tex]

Step-by-step explanation:

5y + 8 = - 6

5y + 8 - 8 = - 6 - 8

5y = - 14

5y ÷ 5 = - 14 ÷ 5

y = - 2.8

Answer:

the weight of the bar is 130 pounds

Answer: realsies

Step-by-step explanation: w manz

Answer:

6 (may change if multiple number cubes are used; 2 dice = 6^2, 3=6^3, so on)

Answer: there are 48 students in the class

Step-by-step explanation:

let x = the total number of students in the class

1 - 1/3 = 2/3

1/4 * 2/3 = 2/12 = 1/6

1/3x + 1/6x + 24 = x

2/6x + 1/6x + 24 = x

3/6x + 24 = x

1/2x + 24 = x

24 = x - 1/2x

24 = 1/2x

24 * 2 = x

x = 48

there are 48 students in the class

Answer:

omg lol look at the picture are u that guy

Step-by-step explanation:

its me from web2.0 :KOBE2482

D its D

Answer:

Acute

Step-by-step explanation:

All triangles have to have a acute or it would be to big

Answer:

yes it is because its a triangle and its acute

Answer:

27.2

Step-by-step explanation:

all you have to do is divide the numerator by the denominator.

The amount of fabric he purchased expressed as a decimal will be;

⇒ 27.2

A decimal number is a number that consists of a whole and a fractional part.

Given that;

Robert purchased 136/5 yards of fabric to make curtains.

Now,

Since, Robert purchased 136/5 yards of fabric to make curtains.

Hence, It can be written as;

⇒ 136/5 = 27.2

Thus, The amount of fabric he purchased = 27.2

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Answer:

y= 18.582

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Answer:

Ok so I know the angle is acute

Step-by-step explanation:

because the angle looks smaller than a 90 degree angle...

Answer: Your question has some missing data attached below is the missing data

Answer : Mean value is Greater

Step-by-step explanation:

The relative value of the mean for original data set is greater

Relative value of median for original data set is lesser

This is simply because the The distribution is generally skewed to the right ( Right skewed )

Answer:

The answer is 15 ounces

Step-by-step explanation:

33/4 ÷ 4 pounds.

(4 × 3 + 3)/4 ÷ 4 pounds.

15/4 ÷ 4 pounds.

15/4 × 1/4 pounds.

15/16 pounds.

Now we know that, 1 pound = 16 ounces.

So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.

Thus, The answer is 15 ounces

Answer:

It's 2/15

Step-by-step explanation:

Answer:

14x-9

Step-by-step explanation: