Factor the expression
Thank you so muchh

Answer:

10

Step-by-step explanation:

m + 2p

2 + 2(4)

= 2 + 8

= 10

Answer:

10

Step-by-step explanation:

m +2p;

let m = 2, and p = 4​

2+2*4

2+8

10

Answer:

12

Step-by-step explanation:

There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of  

points and since two equilateral triangles can be drawn having

that pair of points as vertices, there are 12 equilateral  

triangles that can be drawn having two vertices in the set  

{(0,0), (0,1), (1,0), (1,1)}.

The number of the equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of points and since two equilateral triangles can be drawn having that pair of points as vertices, there are 12 equilateral triangles that can be drawn having two vertices in the set {(0,0), (0,1), (1,0), (1,1)}.

Therefore, the number of the equilateral triangles in the plane that have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.

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Answer:

9/16

Step-by-step explanation:

5/8 - 1/4^2

Exponents first

5/8 - 1/16

Get a common denominator

5/8 *2/2 - 1/16

10/16 - 1/16

9/16

2 | 550,750,900

2 | 275,375,450

3 | 275,375,225

3 | 275,125,75

5 | 275,125,25

5 | 55,25,5

5 | 11,5,5

11 | 11,1,1

LCM:-2×2×3×3×5×5×5×11=49500

Answer:

12% discount

Step-by-step explanation:

Take the change in price

65 - 57.20 =7.80

And divide by the original price

7.80/65=.12

Change to percent form

12%

Answer:

The answer to your question would be x=12. Equation is worked out below

Step-by-step explanation:

5 /2 x−7= 3 /4 x+14

5 /2 x-3/4x − 7 =  3 /4 x-3/4x +14

7/ 4 x−7=14

7 /4 x−7+7=14+7

7/ 4 x=21

do the opposite of 7/4x (division)

7/4 / 7/4x = 21 / 7/4

4/7 / 7/4x (cross each other out) = 21 / 4/7

x=12

Answer:

[tex] \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12[/tex]

I hope I helped you^_^

Answer:

....the answer is 682.5

Answer:

The answer is 702. Hope it helped! :D

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

We have to prove the identity

[tex]tan(\frac{\Theta }{2})=\frac{sin\Theta}{1+cos\Theta }[/tex]

We will take right hand side of the identity

[tex]\frac{sin\Theta}{1+cos\Theta}=\frac{2sin(\frac{\Theta }{2})cos(\frac{\Theta }{2})}{1+[2cos^{2}(\frac{\Theta }{2})-1]}[/tex]

[tex]=\frac{2sin(\frac{\Theta }{2})cos(\frac{\Theta }{2})}{2cos^{2}(\frac{\Theta }{2})}=\frac{sin(\frac{\Theta }{2})}{cos(\frac{\Theta }{2})}[/tex]

[tex]=tan(\frac{\Theta }{2})[/tex] [ Tan θ will be positive since θ lies in 1st quadrant ]

You can use the distributive property to multiply:

( y )( y² - 2y + 4 ) + ( 2 )( y² - 2y + 4) =

y³ - 2y² + 4y + 2y² - 4y + 8 =

y³ + 8

The -2y² and the 2y² cancel each other, and the 4y and -4y cancel each other out!

Answer:

a⁴b⁴ - c⁴

Step-by-step explanation:

The difference of squares formula states that (a - b)(a + b) = a² - b². In this case, a = a²b² and b = c² so a² - b² = (a²b²)² - (c²)² = a⁴b⁴ - c⁴.

Answer:

a^4b^4 - c^4.

Step-by-step explanation:

(a²b²-c²)(a²b²+c²)

Difference of 2 squares:

= (a²b²)^2 - (c²)^2

= a^4b^4 - c^4.

Answer:

B

Step-by-step explanation:

27%=0.27 and sqrt(2)<2.75

Answer:

2,300,000pages  report.

Step-by-step explanation:

Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.

We must first understand that 1 page of a document uses up approximately 2kB of the storage.

Since 2kB = 1page

4.6*10⁶KB = x page

Cross multiply

2kB * x = 4.6*10⁶KB * 1

2x =  4.6*10⁶

x =  4.6*10⁶/2

x =  2.3*10⁶

x = 2,300,000

Hence the maximum number of pages that the report can have so that it can be completely stored on a USB drive that holds 4.6*10⁶KB is approximately 2,300,000pages  report.

Answer:

√121=11

√81=9

√4=2

√100=10

√144=12

√36=6

√16=4

√1=1

√49=7

√25=5

√9=3

√64=8

I hope this helps

Answer:

See below.

Step-by-step explanation:

Central angles AOB and DOC are vertical angles, so they are congruent.

m<AOB = 50°

BD is a diameter, so the measure of central angle BOD is 180°.

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m<AOB + m<AOE + m<EOD = 180°

50° + m<AOE + 60° = 180°

m<AOE + 110° = 180°

m<AOE = 70°

m(arc)AE = m<AOE = 70°

m(arc)AB = m<AOM = 50°

A full circle has 360 deg of central angle and of arc measure.

m(arc)ECB = 360° - m(arc)AE - m(arc)AB

m(arc)ECB = 360° - 70° - 50°

m(arc)ECB = 240°

Angle BOC is vertical with angle AOD.

m<BOC = m<AOD = m<AOE + m<EOD

m<BOC = 70° + 60°

m<BOC = 130°

Answer:

A) 15.6 ft²

Step-by-step explanation:

Area of the circle

A=[tex]\pi[/tex]r²

A=[tex]\pi[/tex](5.7)²

A=102.07

Area of the segment

102.07*55/360

15.594

Answer:

factors of 36 are 1,2,3,4,6,9,12,18,and 36

Answer:

48.514%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x -μ)/σ,

where x is the raw score = 149.75

μ is the sample mean = population mean = 151 seconds

σ is the sample standard deviation

= Population standard deviation/√n

Where n = 20 songs

Population standard deviation = 30

Hence, sample standard deviation

30/√20

= 6.7082039325

z = (x -μ)/σ

z = 149.75 - 150/6.7082039325

z = -0.03727

Using the z score table to find the probability, we have :

P(x<149.75) = 0.48514

In percent = 0.48514 × 100

= 48.514%

Therefore, the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds is 48.514%

Answer:

Step-by-step explanation:

v=√u*u- 2qs

Above given answer is correct.

Answer:

Y*x -2x=40min

Answer:

A. 183 meters

Step-by-step explanation:

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters

Find distance BC

Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)

Cos (60°)=1/2

BC=a

AB=500

Cos (60°)=BC / AB

1/2=a/500

1/2 * 500=a

250=a

a=250m

Find distance AC

Sin(60°)=AC/AB (opposite side divided by hypotenuse)

Sin(60°)=√3/2

AC=b

AB=500

Sin(60°)=AC/AB

√3/2=b/500

√3/2 * 500=b

250√3=b

b=433m

Distance AC and BC=AC+BC

433m+250m=683m

Subtract the distance AB from AC+BC

= 683m - 500m

=183m

Answer is A. 183 meters

Answer:

A. 183 meters

Step-by-step explanation:

sin(60) = x/500

= 433

tan(60) = 433/x

= 250

This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.

683-500=183!

Answer:

42 cm

Step-by-step explanation:

104/8 = 13

13 + 13 + 8 + 8 = 42 cm

Let x = 1.4888... .

Then 10x = 14.888... and 100x = 148.888..., so that

100x - 10x = 148.888... - 14.888...

90x = 147

x = 147/90 = 49/30

answer your phone

n-15

stepson

n represents a number minus 15

Answer:

11/30

Step-by-step explanation:

Because the repeating value is a multiple of 3, first multiply the decimal representation by 3; 0.36666 · [tex]\frac{3}{3}[/tex] = 1.1/3. Since we can't have decimals in a fraction, we'll need to multiply the result above until we have all integers. 11.3 x 10/10 = 11/30. We can't simplify this, so 11/30 is our answer.

Answer:h = 2((A)/(b1+b2))

Step-by-step explanation:

Answer:

The answer is D. 5

Step-by-step explanation:

14-(-3)^2=

14-9=5

The value of f(a) = 14 - [tex]a^{2}[/tex] at x = -3 is 5.

We have the following function of [tex]a[/tex] -

f(a) = 14 - [tex]a^{2}[/tex]

We have to determine the value of this function at a = -3.

The value of f(x) = 2x - 3  at x = 3 can be calculated as follows -

f(3) = 2 x 3 - 3 = 6 - 3 = 3

According to the question -

f(a) = 14 - [tex]a^{2}[/tex]

Now, the value of the function f(a) can be calculated as follows -

f(- 3) = 14 - [tex](-3)^{2}[/tex]

f(- 3) = 14 - 9

f(- 3) = 5

Hence, the value of f(a) = 14 - [tex]a^{2}[/tex] at x = -3 is 5.

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2x-y = 0

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

Work Shown:

x = (1/2)y

2x = y ... multiply both sides by 2

2x-y = 0 ... subtract y from both sides

This is in standard form Ax+By = C, where A,B,C are integers. In this case, A = 2, B = -1, C = 0.

Answer:

i think second number.

not sure but i think that's the answer

Answer:Her score is 26

Step-by-step explanation:

To find the answer, we must deduct the total amount of points that are answered correctly

By the total amount of points that are answered incorrectly.

Because = 1 answered correctly = 4 points

= 1 answered incorrectly = deduct 7

points

So= 87 answered correctly × 4 points

= 348 points

So= 46 answered incorrectly × 7 points

=deduct 322 points

Then the answer will be= 348 - 322= 26

Hope this helps!