Write an equation of the line that passes through (0,-5) and is perpendicular to the line y=4/5x.

Answer:

The difference between their volumes is [tex]237.375ft^3[/tex]

Step-by-step explanation:

The attachment completes the question.

For cube 1:

[tex]s_1 = 8ft[/tex]

For cube 2:

[tex]s_2 = 6.5ft[/tex]

Required

The difference in their volumes

First, we calculate the volume of box 1

[tex]V_1 = s_1^3[/tex]

Substitute 8 for s1

[tex]V_1 = 8^3[/tex]

[tex]V_1 = 512ft^3[/tex]

Next, we calculate the volume of box 2

[tex]V_2 = s_2^3[/tex]

Substitute 6.5 for s2

[tex]V_2 = 6.5^3[/tex]

[tex]V_2 = 274.625ft^3[/tex]

The difference is then calculated as:

[tex]Difference = |V_1- V_2|[/tex]

[tex]Difference = |274.625- 512|[/tex]

[tex]Difference = |-237.375|[/tex]

[tex]Difference = 237.375[/tex]

Hence, the difference between their volumes is [tex]237.375ft^3[/tex]

Answer:

0.1 % first question

0 second question

Answer:

Last one could be either "Prove" or "CPCTC"

Answer:

3.11637

Step-by-step explanation

I got it right ayyy :p

Answer:

AC=13, DE=24

Step-by-step explanation:

we find it using Pythagoras theorem, a²+b²=c²

note that 'c²' always represent the hypotenuse

for the first triangle,

5²+12²=25+144=169, this is the square form

√169=13

AC=13

for the second,

10²+b²=26², we will rearrange the formula so that we could find 'b'

b²=26²-10²

b²=676-100

b²=576

b=√576

b=24

DE=24

i hope this helps

Stay safe from the virus

Answer:

A is irrational and I believe the rest are rational

Answer:

=  2.1 meters

Step-by-step explanation:

Answer:

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Step-by-step explanation:

Step(i):-

Given

                 h(t)=-16t²+100t   ...(i)

Differentiating equation (i) with respective to 't'

              [tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]

              -32t + 100 =0

            ⇒ -32 t = -100

           [tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]  

         t = 3.125 > 0

Step(ii):-

 Given h(t) = -16t²+100t  = 0

t ( -16 t + 100 ) =0

t =0 and  -16t = -100

t =0 and  t = 6.25

Step(iii):-

             h(t) = -16t²+100t ...(i)

put t=0  in equation (i)

           h(0) = 0

put t = 3.125 in equation (i)

h(t) = -16(3.125)²+100(3.125)

         h (t) =  156.25

Put t = 6.25

h(t) = -16(6.25)²+100(6.25)

    = 0

The maximum value h(t) = 156.25 at 3.125

final answer:-

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Answer:

18 rotations.

Step-by-step explanation:

As there are 360 degrees in a circle, by proportion, the time for 1 rotation

= (360/107) * 1

= 3.364 minutes.

So the number of rotations in 1 hour (60 minutes)

=  60 / 3.364

= 17.83

Number of rotations does the pulley make in an hour is 18.

Here,

A pulley rotates through 107° in one minute.

What is rotations?

The action or process of rotating on or as if on an axis or center.

Now,

As there are 360° in a circle, by proportion;

Time for one rotation = (360/107) x 1

                                = 3.364 minutes

Hence, number of rotations in 1 hour

= 60 / 3.364

= 17.83

So, Number of rotations does the pulley make in an hour is 18.

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Answer:

Step-by-step explanation:

the part-to-whole relationship between homework help and sports

Answer:

Hope this helps!

Step-by-step explanation:

I'm going to do it from least to greatest:

A. -32, -15, 0, +11, +60

B. -29, -15, -12, 0, +81

Good Luck! \(￣︶￣*\)

Answer:

x = - 1/2

Step-by-step explanation:

-3(x-4) = -9(x - 1)

1. Distributive Property

-3 * x -3 *-4 = -9 * x -9 * -1

-3x + 12 = -9x + 9

Hint: 2 negatives make a postive

-3x + 12 = -9x + 9

2. Subtract 12 on both sides

-3x + 12 - 12 = -9x + 9 - 12

-3x = -9x + -3

3. Add 9x on both sides

-3x + 9x = -9x + 9x + -3

6x = -3

4. Divide both sides by 6 to isolate the variable

6x/6 = -3/6

x = - 1/2

Check:

-3(-1/2-4) = -9( -1/2- 1)

3/2 + 12 = 9/2 + 9

3/2 + 12 ( we need a common denominator so...lets make it  2 )

3/2 + 12*2/1*2

3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5

Now...

9/2 + 9 ( we need a common denominator so..lets make it 2 )

9/2 + 9*2/1*2

9/2 + 18/2 = 27/2 = 13 1/2 = 13.5

13.5 = 13.5 CORRECT!

27/2 = improper fraction

13 1/2 = mixed number

13.5= decimal form

Hope this helped

Answer:

-29

Step-by-step explanation:

replace the variables with the numbers provided. m = -4 so replace the m in the equation with -4:

3 - (-4)n

same thing with the n.  n=-8 so replace the n in the equation with -8:

3 - (-4)(-8)

and then all you have to do after that is solve it using PEMDAS

multiply -4 and -8 first:

3 - 32

then solve 3-32 and you end up with -29.

Answer:

-5<n<2Thus ans(-4,-3,-2,-1,0,1)

Step-by-step explanation:

Divide all by 3 so that we can make n and find the value using sign

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]

The smallest angle then is x + 37, or 37 - 7, giving us 30°

If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

The three angles of a triangle measure x+37, 90, and x+67.

We need to find the measurement of smaller angle.

From angle sum property we know that the sum of three angles is equal to 180 degrees.

x+37+90+x+67=180

2x+194=180

Subtract 194 from both sides

2x=180-194

2x=-14

Divide both sides by 2.

x=-7

Substitute the value of x in smallest angle

x+37

-7+37=30

Hence the measurement of the smallest angle in degrees is 30

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Answer:

4 times 15 = 60 answer 4

Step-by-step explanation:

4 times

15+15+15+15=60

ok imma try...

Answer: the corresponding sides are proportional. and they arent the same shape, please correct me if im wrong

Answer:

y = 2/3x + 1.5

Step-by-step explanation:

The Formula for that is

y = mx + b

m = slope

b =  y -intercept

so to find the slope I would do y/x or rise over run

So your slope is 2/3 ( it goes up 2 and right 3 times)

Since the line is going up and not down, it is a positive slope

y = 2/3x + b

we need to find where the line crosses the  vertical / y-axis and it's at the point.... (0,1.5)

y = 2/3x + 1.5

Hope this helped a little!

Answer:

72.27

Step-by-step explanation:

Answer:

72.27

Step-by-step explanation:

that's what I got on the calculator.

Answer:

b

Step-by-step explanation:

just took the test edg 22

Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic function is f(x) = 4x²+24x+11

We have to find the zero of the function.

Let us use the quadratic formula to find the zero.

a=4, b=24 and c=11

Let us plug in these values in quadratic formula

x=- 24±√24²-4(4)(11)/8

=-24±√576-176/8

=-24±√400/8

=-24±20/8

=4(-6±5)/8

=(-6+5)/2  or -6-5/2

=-1/2 or -11/2

=-0.5  or -5.5

Hence, Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11

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Answer:

Step-by-step explanation:

(==========================)

(                        12.024               )

(                        12.04                 )

(                   1,204.2                   )

(==========================)

12.024          12.04        1,204.2

=========,=========,=========

hope this helps

Answer:

10x-20y

Step-by-step explanation:

5 x 2x - 5 x 4y

10x - 20y

Answer:

10 • (x - 2y)

Step-by-step explanation:

Pull out like factors :

    2x - 4y  =   2 • (x - 2y)

Final Result:

 10 • (x - 2y)

Answer:

4.5%

Step-by-step explanation:

I am pretty sure that 6 percent of 75 is 4.5..

I hope that this helps u

Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.

Answer:

its 144

Step-by-step explanation:

Answer:

0.545436

Step-by-step explanation:

First convert the fraction into a decimal

36/121 is 0.2975

Then find the square root which is 0.545436

Answer:

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Step-by-step explanation:

Least Common Multiple

We are given the polynomials

[tex]5m^7+ 35m^6+50m^5[/tex]

[tex]-20m^5-80m^4+100m^3[/tex]

Find the common factors of each polynomial, first the coefficients:

5 = 5

35 = 5*7

50 = 5*5*2

The common factor with the least exponent; 5

Now for the variables:

[tex]m^7, m^6, m^5[/tex]

The common factor with the least exponent; m^5

LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]

Similarly:

20 = 2*2*5

80=2*2*2*2*5

100 = 2*2*5*5

Common factor of the coefficients: 2*2*5=20

Common factor of variables: [tex]m^3[/tex]

LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]