Factor the Expression Completely: -14a+56b+84c-28a+42

Answers

Answer 1

Answer:

14(−3a+4b+6c+3) is the answer


Related Questions

If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 120 degrees

Answers

Answer:

[tex]\angle 2 =60[/tex]

[tex]\angle 3 = 60[/tex]

[tex]\angle 4 = 120[/tex]

[tex]\angle 5 = 120[/tex]

[tex]\angle 6 = 60[/tex]

[tex]\angle 7 = 60[/tex]

[tex]\angle 8 = 120[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 120^\circ[/tex]

See attachment

Required

Determine the other angles

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are on a straight line.

So;

[tex]\angle 1 + \angle 2 =180[/tex]

Make [tex]\angle 2[/tex] the subject

[tex]\angle 2 =180 - \angle 1[/tex]

[tex]\angle 2 =180 - 120[/tex]

[tex]\angle 2 =60[/tex]

[tex]\angle 1[/tex] , [tex]\angle 4[/tex],  [tex]\angle 5[/tex] and [tex]\angle 8[/tex] are corresponding angles.

So;

[tex]\angle 4 =\angle 1 = 120[/tex]

[tex]\angle 5 =\angle 1 = 120[/tex]

[tex]\angle 8 =\angle 1 = 120[/tex]

Similarly; [tex]\angle 2[/tex] , [tex]\angle 3[/tex],  [tex]\angle 6[/tex] and [tex]\angle 7[/tex] are corresponding angles.

So;

[tex]\angle 3 =\angle 2 = 60[/tex]

[tex]\angle 6 =\angle 2 = 60[/tex]

[tex]\angle 7 =\angle 2 = 60[/tex]

Help .What is the measure of angle A?

Answers

Answer:

58

Step-by-step explanation:

A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of continuous flight-time if the battery was fully charged before the flight. To test this, claim a sample of n = 10 drones were tested. The results showed a sample mean of 4.2 hours and a sample standard deviation of 0.4 hours. Conduct the hypothesis test using a 0.5 level of significance and determine whether or not the manufacturers claim is supported.

Answers

Answer:

The manufacturer's claim is not supported

Step-by-step explanation:

The time duration the battery of the foldable drone is said to last, μ = 4 hours

The number of drones that were tested, n = 10 drones

The sample mean, [tex]\overline x[/tex] = 4.2 hours

The standard deviation, s = 0.4 hours

The hypothesis test level of significance = 0.5

The null hypothesis, H₀; μ = 4

The alternative hypothesis, Hₐ; μ ≠ 4

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]

We get;

[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]

Therefore, the test statistic, t ≈ 1.58

The degrees of freedom, d. f. = n - 1

For n = 10, we have;

The degrees of freedom, d. f. = 10 - 1 = 9

From the t-table at 0.5 level of significance, the critical-t = 0.7

Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.

taylor's little sister is 3 feet and 4 inches tall. there are 2.54 centimetres in one inch. what is the height of taylor's sister in centimetres

Answers

Answer:

101.6 cm

Step-by-step explanation:

3 ft = 36 in

36 in + 4 in = 40 in

40 * 2.56 = 101.6 cm

Laura is walking for a local charity She earns 75 cents for every lap she walks How much does she earn for walking 50 laps

Answers

Answer:

She earns $ 37.5  by walking 50 laps

Step-by-step explanation:

This method is called unitary method.

If we know the value of 1 unit of an item we can calculate any number of units of item.

For 1 lap she earns 75 cents.

She walks 50 laps.

She earns for 50 laps = 50*75= 3750 cents

Now we have to converts cents into Dollars for convenience.

1$ = 100 cents

3750 /100 = $ 37.5

Choose the function whose graph is given by:

A. y= -sin x + 2
B. y= sin x + 2
C. y = cos x-2
D. y = -COS X + 2

Answers

Answer: y= sin x+2

Step-by-step explanation:

Option b. equation y= sin x + 2 is showing the given graph.

What is function?

A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

The graph of equation y= sin x + 2 is showing in the picture.

Hence, equation y= sin x + 2 is showing the given graph.

Learn more about function:

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1/2 2/3 3/4 the average​

Answers

Answer:

23/36

Step-by-step explanation:

Add all the numbers

1/2 + 2/3 + 3/4 = 23/12

Divide by 3

23/12 / 3 = 23/36

I think it’s the first one, am I correct?

Explain!

Answers

Answer:

yes by SAS

Step-by-step explanation:

EN = RP

EM = PQ

Angle N = Angle R

Ayoub is driving to France for his holiday.

He will drive a total distance of 300 miles. Ayoub sets off at 07:15.

It takes him 2.5 hours to travel the first 125 miles.

Use this information to estimate the time Ayoub will arrive.

Answers

Answer:

10:30 hours

Step-by-step explanation:

Total distance=300 Miles, Start Time=07:15

Distance travelled so far is 125 miles for 2.5 hours

First we need to calculate Ayoub's speed as follows

Speed=Distance/Time

=125miles/2.5hour

=50 miles/hr

The calculate the remaining distance

=300-125

=175 Miles

Assuming that Ayoub Travels in the same speed at the first 300 miles, the time he will use to cover the remaining 175 miles is

Time=Distance/speed

Substituting the values

Time=175/50

=3.5 hours

The time he will arrive at Paris is

07:15+03:30

=10:30 hours

In case you need such assistance in your homework message Tutor David on irenedavid at g mail dot com

Question 2

First calculate the time taken to travel from woodpine to Westray

Time=Distance/ Speed

=32.5/65

=0.5 hours or 30 minutes

Next we calculate the average speed

Average speed is calculated by taking the total distance divided by total time taken

Total distance =32.5+100

=132.5KM

Total time=2+0.5

Average speed=132.5/2.5

=53km/

When tossing a 6-sided die, the probability of tossing a multiple of 3 is 1/3. If you toss the die 70 times, about how many times would you expect to toss a multiple of 3?

Answers

Answer:

23.33 (rounded down 23)

Step-by-step explanation:

2 x 3 x 6

(answer for points and brainliest:))

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Well

lets go left to right (but it really doesn't matter as it's only multiplication the whole way)

2*3 = 6

6*6 = 36

36 is the answer

N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3

Answers

Complete question :

Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.

a. Draw the girls’ rectangles, and label the lengths and widths of each.

b. What are the areas of the rectangles in square centimeters?

c. Compare the areas of the rectangles.

Answer:

Colleen = 41.667 cm²

Carolina = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Step-by-step explanation:

To start with, we determine the total number of tiles used

3 Rows of 5 ; 3 in 5 places = 15

Length of collen's square tiles : 1 2/3 = 5/3

Area of collen's square tiles = square of side length, = (5/3)² = 25/9

Area of rectangle formed = area of square * number of tiles

(25 /9) * 15 = 41.667 cm²

Length of carolina's square tiles : 3 1/3 = 10/3

Area of collen's square tiles = square of side length, = (10/3)² = 100/9

Area of rectangle formed = Area of square * number of tiles

(100/9) * 15 = 166.667 cm²

Carolina's rectangle is larger Than Collen's

what is the interquartile range of the data shown in the box plot???
HELP

Answers

Answer: 14

Step-by-step explanation:

Take the values at either end of the box (80 and 66) and subtract.

AWARDING BRAINLIEST ASAP
What is the probability that 44 women survive

Answers

The answer is B or 0.06

If Malik purchases an iced coffee drink for $5.69 and leaves a $1 tip, what percentage did he tip?

Answers

Answer:

Malik tipped a 17.5% tip. You could also say he tipped a 17.6% tip depending on how you round. Both answers get you a dollar.

Pre calculus
Will every function have a hole? Why or why not?

Answers

Answer:

No, not every function will have a hole. This is considered a special case.          A typical function is one that can be written as a fraction of two polynomials where the denominator is not zero. In a special case (when there is a hole), a factor may appear in both the numerator and denominator.

Tomato juice comes in three different sized cans. The red can contains 6 cups, the blue can contains 2 pints, and the yellow can contains 32 fluid ounces.

Answers

Answer:

the red cup contains the highest amount of tomato juice

the blue and yellow cup contain the same amount of juice

the difference between the highest amount and the lowest is 10 ounces

Step-by-step explanation:

convert all the other measurements to ounces

i cup = 8 ounces

6 x 8 = 42

1 p = 16 ounces

16 x 2 = 32

Extend to find solutions that fit a second constraint in the formx *a, where inequality symbol and a is an integer. For example solve 3x + 4 >10, then find integers that satisfy bothx < 6 and 3x +4 >10.

Answers

Answer:

[tex]x = \{3,4,5\}[/tex]

Step-by-step explanation:

Given

[tex]3x + 4 > 10[/tex]

[tex]x < 6[/tex]

Required

Solve

We have:

[tex]3x + 4 > 10[/tex]

Collect like terms

[tex]3x > 10 - 4[/tex]

[tex]3x > 6[/tex]

Divide by 3

[tex]x > 2[/tex]

So, we have:

[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)

This implies that:

[tex]x = \{3,4,5\}[/tex]

Which equation is equivalent to 3(1 – x) = 2x - (6x+3)?

Answers

Answer:

3-3x=-4x-3

Please correct me if I am wrong.

Step-by-step explanation:

Option A is equivalent to 3(1 – x) = 2x - (6x+3) That is :

3 – 3x = -4x+3

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given equation is :

3(1 – x) = 2x - (6x+3)

multiply 3 with inside the parenthesis in the left side of equation :

3 – 3x = 2x - (6x+3)

subtract 2x with 4x and simplify :

3 – 3x = 2x - 6x+3

3 – 3x = -4x+3

this result is equivalent to option A which will give the same result.

Therefore, Option A is equivalent to 3(1 – x) = 2x - (6x+3).

Read more about expressions at :

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Find the area of this circle. Use 3 for T.
A = r2
10 ft
[?] ft2

Answers

Step-by-step explanation:

Area of circle =πr²

3×5×575ft²

stay safe healthy and happy.

Answer:

The area is 75

Step-by-step explanation:

Because 10/2 is 5

5x5=25

25x3=75

Which of the following phrases describes the expression 12−2x?

A
2 times a number decreased by 12

B
2 decreased by 12 times a number

C
a number times the quantity 12 decreased by 2

D
12 decreased by 2 times a number

Answers

Answer:

D

Step-by-step explanation:

it's self explanatory

12 is being decreased by 2x (x is a variable for a number)

I NEED HELP WITH THIS ASAP PLEASE

Answers

Answer:

25.7, hope this helps

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

Options A, C, and F

Step-by-step explanation:

A,c,f is the answer for your question

Someone help me out with this

Answers

50 m


yes yes yes yes yes

Amy has a jar of jelly beans. In the jar there are 14 red jelly beans, 22 blue jelly beans, 12 yellow jelly beans, and 8 green jelly beans. What is the probability that amy will randomly select a red jelly, eat it, and then select a green jelly bean?

Answers

Answer: G

Step-by-step explanation:

probability of picking a red jelly first = 14/56 or 1/4

probability of picking a green jelly next = 8/55

1/4*8/55 = 2/55

Which of the following expressions represent “subtract 17 from x”
A. 17-x
B. x-17
C. -17x
D. -x-17

Answers

Answer:

B. x - 17

Step-by-step explanation:

It says to subtract 17 from x.

Answer:

B. x-17

Step-by-step explanation:

N
Which equation represents a proportional relationship?

Y=x+1/3
Y=3X+1/3
Y=1/3X

Answers

Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?

Tony's Electronics is marking down the price of a TV 23% from the original price of $175. Which expression can be
used to find the sale price.
175.0 23(175)
23.17523)
175 - 0230175)
23-17523)

Answers

Answer:

this doesn't make any sense.

It would be 175-(175)(0.23)

What is the solution of the system of equations?
y= 3x – 1-4x + 2y = 2

Answers

Answer:

X=2, y=5

Step-by-step explanation:

Y=3x-1 equation 1

-4x+2y=2 equation 2

-4x +2(3x-1)=2 substitute value of y (3x-1) in equation 1 into y value of equ e

-4x+6x-2=2 distributative property

2x=4 solve above equation

x=2

solve for y:

y=3x-1

y=3(2)-1

y=6-1

y=5

Estimate
9.7 + 42.9
HURRY PLEASE <3

Answers

Answer:

52.6 or you can make it 52.5

Step-by-step explanation:

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