30 points!

The table shows the number of miles driven over time. Express the relationship between distance and time in a simplified form as a unit rate.

Time (hours): 4, 6, 8, 10
Distance (miles: 188, 282, 376, 470

Answer:

1329.8 cm³

Step-by-step explanation:

Volume of a Cylinder is: [tex]V=\pi r^2h[/tex]

We are given the height of 14 cm, and the diameter of 11 cm.

The radius is half the diameter.

[tex]11/2=5.5[/tex]

The radius is 5.5.

I use 3.14 for pi:

[tex]V=3.14*5.5^2*14\\\rightarrow 5.5^2=30.25\\V=3.14*30.25*14\\\boxed{V=1329.79}[/tex]

1329.79 ≈ 1329.8

The volume of the cylinder should be 1329.8 cm³.

Answer:

Below

Step-by-step explanation:

(y - 9)(y - 7) = [tex]y^2-16y+63[/tex]

(2y + 2)(y + 1) = [tex]2y^2+4y+2[/tex]

(2y + 6)(y + 3) =  [tex]2y^2+12y+18[/tex]

(3y + 4)(y + 5) = [tex]3y^2+19y+20[/tex]

(2y - 7)(y + 2) = [tex]2y^2-3y-14[/tex]

Answer:

[tex]\huge \boxed{y^2 - 16y + 63}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Solving for the first problem:

(y-9)(y-7)

y(y-7)-9(y-7)

y² - 7y - 9y + 63

y² - 16y + 63

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

take the point as (x,y)

Answer:

SA=744 [tex]cm^{2}[/tex]

Step-by-step explanation:

Surface area mean the sum off every single area of the shape

so we have here two rectangle area= 14*13*2=364

and one  rectangle are in the bottom= 14*10=140 cm

and two triangle are= 10*12*2=240 cm

so the some of them is SA=364+140+240=744[tex]cm^{2}[/tex]

Answer

65 and 115

Step-by-step explanation:

i just took the test on edge

Answer:

65

115

Step-by-step explanation:

Its the answer

Answer:

20%

Step-by-step explanation:

6/30 = .2 therefore she has ran 20% or 1/5 of the race

Answer:

42 square feet

Step-by-step explanation:

SA=2lw+2lh+2wh

SA=2*3*3+2*3*2+2*3*2

SA=2*9+2*6+2*6

SA=18+12+12

SA=30+12

SA=42

Thus,

Rashid needs 42 square feet of wood to build a box

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to elaborate the expression :

[tex] {x}^{2} + 10x + 21[/tex]

[tex] = {x}^{2} + 3x + 7x + 21[/tex]

Next you have to take out the common factors and factorize it :

[tex] {x}^{2} + 3x + 7x + 21[/tex]

[tex] = x(x + 3) + 7(x + 3)[/tex]

[tex] = (x + 7)(x + 3)[/tex]

The right answer is (X+3)(X+7)

Please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe..

The coefficient of 7c + 8 is the coefficient of the term with the variable c, which is 7.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.

The given expression is 7c + 8.

A coefficient is a numerical factor that appears before a variable in a term. In this expression, 7c is a term, where 7 is the coefficient of c. Similarly, 8 is also a term, where the coefficient is 8.

Since integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer.

Therefore, the coefficient of 7c + 8 is the coefficient of the term with the variable c, which is 7.

So, the answer is option 3, which is 7.

Learn more about expression here:

brainly.com/question/13947055

#SPJ3

Step-by-step explanation:

0.16

The coordinates for point M is (12, 6)

Section formula is used to find the coordinates of a point that splits a line segment internally or externally into a ratio of m:n.

(x, y) = ( mx2 + nx1/ m+n, my2 + ny1/ m+n)

Given:

Coordinates of A(0, 15) and B (20, 0)

ratio is 3:2

Now,

x1=0, x2= 20, y1= 15, y2=0

let the coordinates of M is (c, d)

Using section formula

c=2*0+3*20/5

c=12

and d= 15*2+ 2*0/5

d= 6

Hence, the coordinates of M are (12, 6).

Learn more about section formula here:

https://brainly.com/question/15383389

#SPJ2

Answer:

Step-by-step explanation:

1: A=70.8in^2

2: A=540ft^2 no need to round

3: A=282.7cm^2 no need to round

4: A=409.26m^2  rounded is 409

Answer:

x = 77/5 or 15.4

Step-by-step explanation:

15+2/5

Answer:

Step-by-step explanation:

x - 2/5 =15

x = 15 +2/5

x=75+2/5

x=77/5

hope it helps

Answer:608

Step-by-step explanation:bc I’m big brains

Answer:

hai

i wanna found all area firstly. thats why multiplaying 44 with 16.

44×16 = 704.

now ill find the triangle's area because ill remove it from the all area to find the shaded part of rectangle.

for triangle's area: 12×16/2 = 96.

now i substrack 704 from 96.

704-96= 608 square meters.

good luck(:

Answer:

  see below

Step-by-step explanation:

Angles 9 and 13 are both southeast of their respective vertices, hence are corresponding angles. Since they are congruent, the converse of the corresponding angles theorem applies.

Answer:

58 degrees.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

0.004

Step-by-step explanation:

Answer: 0.5

Step-by-step explanation:

There are 13 hearts. The chance of drawing a heart in your first draw is 13/52, or in other words 1/4

There are 13 diamonds. The chance of drawing a diamond on your second draw is 13/52, or in other words, 1/4

The chance of drawing a heart, replacing it, drawing a diamond, are 1/4*1/4=1/2.

Answer: 30 months

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Matthew's saving account money (1500) must be equal to the product of the amount he pays per month for the app subscription  (20) and the number of months (x); plus the product of the amount he pays per month for the Italian restaurant subscription  (30) and the number of months (x).

1500= 20x+30x

Solving for x:

1500=50x

1500/50 =x

30 months =x  

Feel free to ask for more if needed or if you did not understand something  

Answer:

Median

Step-by-step explanation:

800 keeps repeating

Answer: 650

Step-by-step explanation:

300/ 2

equals 150

so we do 150+ 500=650

so the answer is 650

Hope this helps :)

Answer:

Step-by-step explanation:

a₁₅ = 33.5  

S₁₅ = 240

So, there are 15 terms in this arithmetic progression. So, l = a₁₅ = 33.5

Sn = (n/2)(a+l)

[tex]S_{15}=\frac{15}{2}(a_{1}+l)\\\\240=\frac{15}{2}(a_{1}+33.5)\\\\240*2=15*(a_{1}+33.5)\\\\480=15*(a_{1}+33.5)\\\\\frac{480}{15}=a_{1}+33.5\\\\32=a_{1}+33.5\\\\32-33.5=a_{1}\\-1.5=a_{1}[/tex]

a₁ = - 1.5

Answer:

∠NXO = 90° because the diagonals of a rhombus are perpendicular. Because the sum of angles in a triangle is 180°, 90 + 29 + ∠7 = 180 which means ∠7 = 61°.

Answer:

x = 75

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral are supplementary

x+ 105 = 180

Subtract 105 from each side

x+105-105 = 180-105

x = 75

Answer:

75

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Solves equation:

20x+60=30x+20

They are the same angles.

Sorry, I was in hurry so the answer isn't detailed. I hope it still helps.

Answer:

4x^2 -12x +9   ft^2

Step-by-step explanation:

The area of a square is

A = s^2 where s is the side length

A = (2x-3) ^2

A = (2x-3) (2x-3)

FOIL

first 2x*2x =4x^2

outer 2x (-3) = -6x

inner -3*2x = -6x

last -3*-3 = 9

Add them together

4x^2 -6x-6x +9

Combine like terms

4x^2 -12x +9

The area is 4x^2 -12x +9 ft^2

Answer:

[tex]= 4 {x}^{2} - 12x + 9 {ft}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area = {x}^{2} \\ = (2x - 3)^{2} \\ = (2x - 3)(2x - 3) \\ = 2x(2x - 3) - 3(2x - 3) \\ = 4 {x}^{2} - 6x - 6x + 9 \\ = 4 {x}^{2} - 12x + 9 {ft}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

A =315 cm^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 13+29) *15

A  = 1/2 (42)* 15

A =315 cm^2

Answer:

[tex]315 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area \\ = \frac{1}{2} \times (a + b) \times h \\ = \frac{1}{2} \times (13 + 29) \times 15 \\ = \frac{1}{2} \times 42 \times 15 \\ = \frac{630}{2} \\ = 315 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

the answer is 100 because 6*21 is 126 and 126 is close to 100.

Answer:

A

Step-by-step explanation:

5x 20 = 100 so 6 would't be too far away

Answer:

x = 20

Step-by-step explanation:

x in (-oo:+oo)

(1/2)*x+6 = 16 // - 16

(1/2)*x-16+6 = 0

1/2*x-10 = 0 // + 10

1/2*x = 10 // : 1/2

x = 10/1/2

x = 20

Answer:

Equation for the function is:

f(x) = (3/2) · 2ˣ

Step-by-step explanation:

We have been provided with 2 points

Point 1 : (3, 12)

Point 2 : (4, 24)

Testing all three equations:

Substitute x of Point 1 in the equation

f(x) = (6/3) · 2³

f(x) = 16

y = 16 ≠ 12

NOT TRUE

Substitute x of Point 2 in the equation:

f(x) = (6/3) · 2⁴

f(x) = 32 ≠ 24

NOT TRUE

Substitute x of Point 1 in the equation

f(x) = (3/2) · 2³

f(x) = 12

y = 12

TRUE

Substitute x of Point 2 in the equation:

f(x) = (3/2)· 2⁴

f(x) =  24

TRUE

Substitute x of Point 1 in the equation

f(x) = 2(3)

f(x) = 6

y = 6 ≠ 12

NOT TRUE

Substitute x of Point 2 in the equation:

f(x) = 2(4)

f(x) = 8 ≠ 24

NOT TRUE

Answer: n > -9

Step-by-step explanation:

3+2n > -15

2n> -18

n > -9

Write an inequality to represent the model and solve for the unknown number

let

the unknown number = x

twice a number = 2 × x

= 2x

Three more than twice a number = 2x + 3

Three more than twice a number is greater than negative fifteen:

2x + 3 > -15

2x > -15 - 3

2x > - 18

Divide both sides by 2

x > -18/2

x > -9

Therefore, the unknown number x, is greater than -9

Read more:

https://brainly.com/question/15816805

Answer:

B.

Step-by-step explanation:

Have a good day i hope this helps :)

Answer:c

Step-by-step explanation: