!!20 points and Brainliest please help!!!

Which of the following could be factored by grouping?

A) ab + ad - ac + ae
B) ac + ad + bc - bd
C) ab + cd – ab + cd
D) ac + ad + bc + bd

Answer:

y = - 2x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 . then

y = - 2x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = - 4 + c (add 4 to both sides )

0 = c

y = - 2x + 0 , that is

y = - 2x ← equation of line

The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.

The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.

The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,

[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]

At the maximum position, the time period is zero. Thus,

[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]

At the minimum position, the period equal to the π. Thus,

[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]

This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,

[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]

Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Learn more about the time period of pendulum here;

https://brainly.com/question/3551146

Answer:

C:1.25

Step-by-step explanation:

This is the graph of a NON-LINEAR FUNCTION

The y intercept of the graph is the function value y=-6

The x intercepts of the graph are located at x=2 and x=6

The greatest value of y is y= 2 and it occurs when x=4

For x between x=2 and x=6, the function value y≥0

Hope this helped :>

For Cylinder:

SA = 578.05 yd^3

V = 955.04 yd^3

For Trapezoidal Prism:

SA = 510.4 ft^2

V = 275 ft^3

Cylinder: Second Image

diameter - D

area - A

radius - R

height - H

volume - V

surface area - SA

PI = 3.14159...

R = D/2

R = 8/2

R = 4 yd

Surface Area:

SA = 2×PI×R×H + 2×PI×R^2

SA = 2×(3.14159×4×19) + 2(3.14159×(4)^2)

SA = 578.05 yd^3

Volume:

V = PI×(R^2)×h

V = 3.14159×(4^2) × 19

V= 955.04 yd^3

Trapezoidal Prism: First Image

lateral area - LA

area of base - BA

base - B

width - W

height - H

volume - V

surface area - SA

Volume:

V = BA × H

V =( L×W + 0.5(B×H)) × H

V = (5×7 + 0.5(8×5)) × 5

V = 275 ft^3

Surface area:

Lateral area is the sum of all the areas excluding the area of the base.

LA = a×l + b×l + c×l + d×l

LA = l(a+ b + c + d)

LA = 11(5 + 9.4 + 15 + 7)

LA = 400.4 ft^2

BA = L×W + 0.5(B×H)

BA = 5×7 + 0.5(8×5)

BA = 55 ft^2

SA = 2×BA + LA

SA = 2×55 + 400.4

SA = 510.4 ft^2

Answer:

12

Step-by-step explanation:

You want to add 8+8 and you get 16. Subtract 16 from 40 and you get 24 (This is both lengths). Divide 24 by two to get 12 (One length Vaule).

well, we know its a rectangle, so  hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]

[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]

Answer:

(f + g)(x) = x + 5

Explanation:

f(x) = 2x + 3

g(x) = 3x + 2

===========

Answer:

[tex](f+g)(x)=5x+5[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=2x+3[/tex]

[tex]g(x)=3x+2[/tex]

[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]

Answer:

1.7

Step-by-step explanation:

You can use the 30/60/90 triangle rule, but it was quicker for me to do. SIN(60)=b/2. If you want a more in depth explanation just reply to this but I have to go right now so I will do it later.

Answer:

see explanation

Step-by-step explanation:

A

when 2 equal bases are being multiplied together their exponents are added together, that is

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

B

[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]

C

[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]

= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]

= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]

= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]

#A

#B

#C

Assuming there are 7. 5 gallons of liquid per cubic foot. The volume of the cup is: 1,193.8 gallons.

Using this formula

V =πh/3 [(r base)²+ ( r base) (r top) + (r top) ²]

Where:

height of cup (h)= 8 feet

radius of base of cup (r base)= 4 feet/2=2 feet

radius of top of cup (r top)= 6 feet/2=3 feet

Let plug in the formula

V =πh/3 [(8)²+ (2) (3) + (3) ²]

V =πh/3×8×19

V=152 π/3

Hence:

Volume of the cup in gallons=152 π/3 ×7.5

Volume of the cup in gallons=477.52208334564/3×7.5

Volume of the cup in gallons=1,193.8gallons

Therefore the volume of the cup is: 1,193.8 gallons.

Learn more about volume here:https://brainly.com/question/23648151

Answer:

BBCADD that is the awnser

Step-by-step explanation:

or a triangle XD

Answer:

400 in.

Step-by-step explanation:

V= l x w x h

V=10 x 5 x 8 =400 in.

Step-by-step explanation:

the volume of a cylinder is as for any regular shaped object

ground area × height

here the ground area is a circle, so we get

pi×r²×h

with r being the radius (half the diameter), and h the height.

therefore,

pi×(2.7/2)²×10 = 3.14×1.8225×10 = 57.25552611... cm³

so, the first option is correct.

Answer:

C =66

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

The answer is 32 because 8 x 3 is 24 so then just add 8

Answer:

d = 2√34

Explanation:

Answer:

Excuse me, Where is the question??

Answer:

78000000

Step-by-step explanation:

(7.8 x 10^3) (1.0 x 10^4) =?

The volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

The formula for calculating the volume of an oblique cone is expressed as:

V = (1/3) * π * r² * h.

where

r is the radius

h is the height

Given the following parameters

r = 4 units

h = 8.5 units

Substitute

V = (1/3) * 3.14 * 4² * 8.5.

V = 142.4 cubic inches

Hence the volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

Learn more on volume of cone here: https://brainly.com/question/1082469

Answer: 142.4

Step-by-step explanation:

[tex]\textbf{a).}\\\\r^2-12r+32\\\\=r^2 -8r-4r+32\\ \\=r(r-8) -4(r-8)\\\\=(r-8)(r-4)\\\\\textbf{b).}\\\\5a^2-7a-6\\\\=5a^2-10a+3a-6\\\\=5a(a-2)+3(a-2)\\\\=(a-2)(5a+3)\\\\\textbf{c).}\\\\16g^2+40g+25\\\\=(4g)^2 +2\cdot 5\cdot 4g+5^2\\\\=(4g+5)^2\\\\=(4g+5)(4g+5)[/tex]

The mean and standard deviation of the random variable X if 60 percent of city residents support the proposal is 1200 and 21.9 respectively.

From the information given, the mean of the binomial variable x will be:

= 2000 × 60%

= 2000 × 0.6

= 1200

The standard deviation will be:

= ✓n × ✓p(1 - p)

= ✓1200 × ✓0.4

= ✓480

= 21.9

Also, the mean and standard deviation to determine the values of k1 and k2 will be -3 and 3.

Lastly, the test statistic will be:

= (0.65 - 0.60)/(✓0.60 × (0.40) /2000

= 0.05/✓0.24/2000

= 0.05/0.011

= 4.55

The z value at 5% significance level is 1.64. This supports the funding of the proposal.

Learn more about mean on:

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Answer:

14/9 hours

Step-by-step explanation: 1/2+1/7=9/14, so 1/(9/14)=14/9

Step-by-step explanation:

Displacement = 576 m

Time taken = 32s

Now

[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]

Answer:

3000m

Step-by-step explanation:

First, note that km is the same as kilometers and m is the same as meters. Thus, when you are asking to convert 3 km to m, you are asking to convert 3 kilometers to meters.

A kilometer is larger than a meter. Simply put, km is larger than m. In fact, a kilometer is "10 to the power of 3" larger than a meter.

Since a kilometer is 10^3 larger than a meter, it means that the conversion factor for km to m is 10^3. Therefore, you can multiply 3 km by 10^3 to get 3 km converted to m.

Here is the answer with the math showing you how to convert 3 km to m by multiplying 3 by the conversion factor of 10^3.

3 x 10^3

= 3000

3 km

= 3000 m

Answer:

3000 m

Step-by-step explanation:

Unit conversion :

Solving :

Answer:

you can find the aswer in the question and the in the frist sentes of the question

Step-by-step explanation:

Answer:

(3 -1 -1 3

4 4 1 1)

reflection across the y-axis

Step-by-step explanation: