The product of a number, x, and 18 is 113.4. Which equation and value of x represent this relationship?

Answer:

Step-by-step explanation:

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

(                        12.024               )

(                        12.04                 )

(                   1,204.2                   )

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

12.024          12.04        1,204.2

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

hope this helps

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:

-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:

x= 75°

because 180°-105°=75°

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:

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:

=  2.1 meters

Step-by-step explanation:

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.

Learn more about the Rotations visit:

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Answer:

3.11637

Step-by-step explanation

I got it right ayyy :p

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! \(￣︶￣*\)

ok imma try...

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

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:

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:

0.1 % first question

0 second question

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:

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: 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:

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

Answer: x ≤ 5

Step-by-step explanation:

Answer:

72.27

Step-by-step explanation:

Answer:

72.27

Step-by-step explanation:

that's what I got on the calculator.

Answer:

a1=1

d=3-1

=2

an=a1+(n-1)d

=1+ (n-1)2

=1+2n-2

2n-1

Answer:

Its 50/50 with T or B I say the answer is B

Step-by-step explanation:

Answer:

A. 4/ 3

Step-by-step explanation:

With reference angle X

perpendicular (p) = 24

base (b) = 18

Now

tan X = p / b = 24 / 18 = 4 / 3

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:

Step-by-step explanation:

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