Factor the following expression using the GCF.

8dr – 24r

r(8d – 24)
4r(2d – 6)
8(dr – 3r)
8r(d – 3)

Answer:

120 such cubes could fit in the prism.

Step-by-step explanation:

Volume of prism = length × breadth × height

[tex] = \frac{5}{3} \times \frac{4}{3 } \times 2[/tex]

[tex] = \frac{40}{9} cm {}^{3} [/tex]

___________________________________

Volume of cube = a³

[tex] = ( \frac{1} {3}) {}^{3} [/tex]

[tex] = \frac{ {1}^{3} }{ {3}^{3} } [/tex]

[tex] = \frac{1}{27} cm {}^{ 3} [/tex]

____________________________________

[tex] \frac{40}{9} \div \frac{1}{27} [/tex]

[tex] \frac{40}{9} \times 27[/tex]

[tex]40 \times 3[/tex]

120

Answer:

Step-by-step explanation:

X×7/3 =1

X=3/7

Answer:

X+2 metres. Just use a^+2ab+b^2

Answer:

50 pockets

Step-by-step explanation:

Given

[tex]Total = 75\ yd[/tex]

[tex]Pocket = 1\frac{1}{2}yd[/tex]

Required

Determine the number of pockets

To calculate the required , we make use of:

[tex]Pockets = \frac{75yd}{1\frac{1}{2}yd}}[/tex]

[tex]Pockets = \frac{75}{1\frac{1}{2}}}[/tex]

Convert the denominator to decimal

[tex]Pockets = \frac{75}{1.5}[/tex]

[tex]Pockets = 50[/tex]

Hence, she can lace 50 minutes

Answer:

A variable that depends on one or more other variables. For equations such as y = 3x – 2, the dependent variable is y. The value of y depends on the value chosen for x. Usually the dependent variable is isolated on one side of an equation.

Step-by-step explanation:

Answers:

================================================

Explanation:

Angle CFG is given to be 120 degrees.

The angle to the right that's adjacent to this is angle GFH. The two angles add to 180

(angle CFG) + (angle GFH) = 180

(120) + (angle GFH) = 180

angle GFH = 180 - 120

angle GFH = 60 degrees

-----------------------

Angle XGA is 70 degrees. Note how it corresponds to angle XHC since both angles are in the same northwest quadrant of their four-corner angle configuration.

Corresponding angles are congruent due to the parallel lines AB and CD.

This means angle XHC is also 70 degrees.

We'll use the same idea as in the last section

(angle XHC) + (angle GHD) = 180

(70) + (angle GHD) = 180

angle GHD = 180 - 70

angle GHD = 110 degrees

--------------------

Focus on triangle FGH.

We want to find angle FGH, which is the same as angle G when focusing solely on triangle FGH and no other points or triangles.

In the previous two sections, we found

This can be shortened to

Again we must focus solely on triangle FGH and nothing else.

So we have

Let's solve for G

F+G+H = 180 .... angles of a triangle always add to 180

60+G+110 = 180

G+170 = 180

G = 180-170

G = 10

For triangle FGH, angle G is 10 degrees.

This means angle FGH is 10 degrees.

Answer:

B Find the next two terms If it is geometric

Answer:

6(2 + 7)

Step-by-step explanation:

I hope this helps!

Answer:

x = 8

x = 7

Step-by-step explanation:

Solving    x2-15x+56 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =   -15

                     C   =   56

Accordingly,  B2  -  4AC   =

                    225 - 224 =

                    1

Applying the quadratic formula :

              15 ± √ 1

  x  =    —————

                   2

So now we are looking at:

          x  =  ( 15 ± 1) / 2

Two real solutions:

x =(15+√1)/2= 8.000

or:

x =(15-√1)/2= 7.000

Answer:is 5 because it multiply by 5.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I got it right in edg2020

Your question is incomplete. But the following graph describes the equation you have given.

Which graph represents z = (–3 + 4i) – (2 + i).

The graph which represents z = (–3 + 4i) – (2 + i) is attached with this answer.

We have,

z = (–3 + 4i) – (2 + i)

Now,

Simplify this given expression of complex number ;

i.e.

z = (–3 + 4i) – (2 + i)

z = -3 + 4i - 2 - i

We get,

z =  -5 + 3i

Now,

We will graph this z =  -5 + 3i complex number on cartesian coordinate,

So,  

In cartesian coordinate when we graph any complex number then the constant value i.e. (-5) is represented on the x-axis and the imaginary value i.e. (3i) will be on the y-axis.

Learn more about the complex number here:

https://brainly.com/question/10251853

#SPJ10

Answer:

The first drop down box, I'm pretty sure its the second one

Step-by-step explanation:

Answer:

The guy up there is right so the answer, first one is 147.58 and the second one is 28.26

Step-by-step explanation:

Answer:

SWEEEET!!

Step-by-step explanation:

:D

Answer:thx so much I needed them

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

trust me i got you wuth that 2016 throwback

900.2 or 900 1/5

4501 ÷ 5

=

900.2

900 1/5

Answer:

It would be 900.2

hope this hepled!  :)

Answer: a = 3

Step-by-step explanation:

Answer: 60

Just put 60 :)

Answer:

y=2/3x-11/3

Step-by-step explanation:

First, find the slope.

m= y2-y1/x2-x1

-3+5/1+2 = 2/3

Slope is 2/3

Now, pick one of the coordinates and use that and the slope to put it in point-slope form.

Point slope form: y-y1=m(x-x1)

Let's use (1,-3)

y+3=2/3(x-1)

Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.

y+3=2/3x-2/3

y=2/3x-11/3

Answer:

y=2/3x-11/3

Step-by-step explanation:

use slope formula and slope intercept form. y=mx+b

Answer:

A and C are Functions

Step-by-step explanation:

They pass the vertical line test.

The way you know if a set of coordinates are not a function is if they have multiple points that have the same Y value.

Answer:

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Step-by-step explanation:

Given that

mean weight = 3831 grams,

variance = 108,900

sample size n = 65

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?

Now standard error of mean = √( 108900 / 65 ) = 40.9314

z = +/- (45/40.9314)

z = +/-1.0994

so

P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )

= 0.8642 - 0.1358

= 0.7284

Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Answer:

[tex]125.4\ \text{m/s}[/tex]

Step-by-step explanation:

u = Initial velocity of baseball

[tex]\theta[/tex] = Angle of hit = [tex]30^{\circ}[/tex]

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

[tex]y_0[/tex] = Height of hit = 2.5 ft

[tex]a_y[/tex] = g = Acceleration due to gravity = [tex]32.2\ \text{ft/s}^2[/tex]

t = Time taken

Displacement in x direction

[tex]x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}[/tex]

Displacement in y direction

[tex]y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}[/tex]

The minimum initial velocity needed for the ball to clear the fence is [tex]125.4\ \text{m/s}[/tex]

Answer:

2x6

Step-by-step explanation:

Answer:

Do multiplications first, then simplify the equation from left to right. Therefore, your answer should be 18.

Step-by-step explanation:

3 - 5 + 4 + 2 × 6

= 3 - 5 + 4 + 12

= 2 + 4 + 12

= 6 + 12

= 18

Answer:

$10 = 4x

Step-by-step explanation:

The "x" would represent how much the apples would cost. So next you would divide both sides by 4x and then it would leave you with 2/5.

Answer:

Step-by-step explanation:

Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)

Answer:

70 puppies

Step-by-step explanation:

Find 10% which is 200÷10=20

20*3=60=30%

20÷2=10=5% so 60+10=70 puppies

Answer:

Alternative hypothesis:

[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]

Step-by-step explanation:

Given that:

Sample 1:

Sample size [tex]n_1[/tex] = 10

Sample mean  [tex]\overline x_1[/tex] = 79.3

Standard deviation [tex]\sigma_1[/tex] = 22.4

Sample 2:

Sample size [tex]n_2[/tex] = 10

Sample mean  [tex]\overline x_2[/tex] = 82.1

Standard deviation [tex]\sigma_2[/tex] = 12.0

To find the alternative hypothesis.

The null and alternative hypothesis can be computed as follows:

Null hypothesis:

[tex]\mathbf{H_o = \sigma_1^2 = \sigma_2^2}[/tex]

Alternative hypothesis:

[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]

Since, alternative hypothesis is ≠, it shows that it is a two tailed test.