(6p+5)×5-6p) expansion using special algebraic identit

Answer:

B.5: 5^2(-3)(+7)

Step-by-step explanation:

1. 5 is the HCF of the three numbers, so it goes outside the brackets. 5(^4+4^3−21^2).

2. ^2 is also a factor, so now its 5^2(^2+4-21)

3. Factor by Grouping 5^2(^2−3+7−21)

4. Factor by Grouping 5^2((−3)+7(−3))

5. Factor by Grouping 5^2(−3)(+7)

Thats your final answer.

Answer:

Step-by-step explanation:

1 t= S/V1= 12/20=0.6 hours

2 t =S/V2 = 12/16= 0.75 hours

3 12km

i guess they wanna determine the average V

Answer:

Yes, you got the correct answer, it's y=-4

Answer:

Amount each girl contributed = 10.5

Amount each boy contributed = 16.83

Step-by-step explanation:

Total amount contributed = 916.00

Total student who contributed = 80

Number of girls = 68

Number of boys = 80 - 68

= 12

Amount contributed by 68 girls = 714.00

Amount each girl contributed = 714.00 / 68

= 10.5

Amount each girl contributed = 10.50

Amount contributed by boys = Total amount contributed - Amount contributed by 68 girls

= 916.00 - 714.00

= 202.00

Amount each boy contributed = 202.00/12

= 16.83

Amount each boy contributed = 16.83

Answer:

a = 17

b = 17

Answered by GAUTHMATH

Answer:

see image

three groups of 4 means 12 / 4 = 3

Step-by-step explanation:

The ordered pair are (-5/3, 0) and (0, 5)

Given the equation y = 3x + 5

To get the ordered pair of the equation, we will find the x and y-intercept

The x-intercept of the equation occur at y = 0

0 = 3x + 5

-3x = 5

x = -5/3

Hence the ordered pair of the solution is (-5/3, 0)

The y-intercept of the equation occur at x = 0

y = 3(0) + 5

y = 0 + 5

y = 5

Hence the ordered pair of the solution is (0, 5)

Learn more on ordered pair here: https://brainly.com/question/1528681

Answer

I don't know the correct answer but I can give you technique. Count the number of guesses above would give you 10, which is our answer to the maximum number of guesses to find a number between 1 and 1000.

Answer:

your answer is 30

Step-by-step explanation:

I hope this help

1. 1/2

2. Y

3. 1 left 3 ups. (-1, 3)

Answer:

A =27 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the base and h is the height

A = 1/2 (9) (6)

A =27 cm^2

Answer:

I assure you the person above is perfectly right. The area of a triangle is:

A = 1/2bh

Step-by-step explanation:

Have a good day.

Answer:

Step-by-step explanation:

This is a right triangle trig problem. The height of the tree is the height of the triangle, and the length of the wire is the hypotenuse of the triangle. Using Pythagorean's Theorem, we can find the length of the base, which is how far he must secure the bottom of the wire from the base of the tree.

[tex]5^2=4^2+x^2[/tex] and

[tex]25=16+x^2[/tex] and

[tex]9=x^2[/tex] so

x = 3 m

Answer:

https://brainly.com/question/24258518

Step-by-step explanation:

Answer:

Rhombus, Square, Parallelogram :)

Step-by-step explanation:

I just did this question and I got the three answers above right. I hope this helps!

Answer:

Step-by-step explanation:

n17 = ?

n  = 17

d = 6

a1 =12

a17 = a1 +(n - 1)d

a17 = 12 + (17 - 1)*6

a17 = 12 + 16*6

a17 = 12 + 96

a17 = 108

Answer:

Step-by-step explanation:

m=7

c=5

balance=26.802

Answer:

Irrational

Step-by-step explanation:

It's an irrational number since both of them are irrational

I am trying to simplify a difference quotient with the form

f(x+h)−f(h)/h

if f(x)=2/x2 I have attempted to cancel out the denominator of the numerator by the least common denominator method. I know that I can solve this using implicit differentiation, but am trying to use the difference quotient to get the partial derivative

Here is my work so far:

f(x+h)−f(x)(h)

=f(2/(x+h)2)−f(2/x2)h

=(2/(x+h)2)−(2/x2)h

here I multiply by the LCD

=(2(x2)−2(x+h)2)/(x2(x+h)2)h

Here I expand out the top and cancel out 2x2

=(2x2−(2x2+4xh+2h2))/(x2(x+h)2)h

=−(4xh+2h2)/(x2(x+h)2))h

Here I think I should multiply by 1/h to get rid of the h on the bottom

I end up with:

=4xh+2h2hx2(x+h)2

factor out an h

=−4x+2hx2(x+h)2

Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

A recursive relation is a relation that defines the terms in a sequence with the previous terms.

Here, the recursive relation will be:

[tex]A_n = 2*A_{n - 1} + $50[/tex]

A₁ = $150.

We know that:

Sarah has saved $150 at the moment.

She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300

And if she saves the $300, then her grandma will give her another $50.

Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:

2*A + $50

Then the recursive relation is just:

[tex]A_n = 2*A_{n - 1} + $50[/tex]

Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:

A₁ = $150.

If you want to learn more about recursive relations you can read:

https://brainly.com/question/13143285

The diagram shows that the total number of buttons with ¾ inch length is 3.

So, if she lines all the ¾ inches buttons, then the total length will be

= ¾ inches × 3

= 9/4 inches

= 2 ¼ inches

Multiply 3/4 by 3

3/4 * 3/1

3/4 * 12/4 = 36/16

36/16 = 9/4

Answer: 2 1/4

Answer:

x=[tex]\frac{y+1}{7}[/tex]

Step-by-step explanation:

Hi there!

We want to make x the subject of the formula, which means to solve the formula for x

Here is the given formula:

y=7x-1

Our ultimate goal is to isolate x onto one side

Start by subtracting 7x from both sides

y-7x=-1

Subtract y from both sides to remove it from the left side

-7x=-y-1

Divide both sides by 7

x=[tex]\frac{-y-1}{-7}[/tex]

Simplify (factor -1 out of the numerator and denominator, then cancel it out)

x=[tex]\frac{-1(y+1)}{(-1)(7)}[/tex]

x=[tex]\frac{y+1}{7}[/tex]

Hope this helps!

Answer:

x = 1/7(y+1)

or

x = 1/7 y + 1/7

Step-by-step explanation:

y= 7x-1​

Solve for x

Add 1 to each side

y+1 = 7x-1+1

y+1 = 7x

Divide each side by 7

1/7(y+1) = 7x/7

1/7y + 1/7 =x

Answer:

If the son’s age is x, the father’s age is 2x.

If the son’s age is x, the father’s age is 2x.Ten years ago:

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 52

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 52

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 24

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48So the son’s age is 24 and the father’s is 48. Ten years ago, they were 14 and 38, which adds up to 52.

.

.

Answer:

[tex]58.99[/tex]

Step-by-step explanation:

[tex] \tan(61) = \frac{o}{a} \\3.74 = \frac{x}{17} \\ x = 17 \times 3.74 \\ = 58.99[/tex]

Answer:

HCF is 4

LCM is 336

Step-by-step explanation:

2/28 , 48

2/14 , 24

2/7 , 12

2/7 , 6

3/7 , 3

7/7 , 1

1 , 1

HCF is 2 × 2 =4

LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336

Answer:

4 cm

Step-by-step explanation:

V = πr²h

or, 36π = π(3)²×h

or, 36 = 9h

or, 4 = h

So the height is 4 cm

Answered by GAUTHMATH

Answer:

Sinx=4/16=1/4

x=Sin^-1(1/4)

? =14.47°

OAmalOHopeO

The measure of the unknown angle is approximately 14°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjacent/hypotenuse and

tan = opposite/adjacent.

From, The given diagram, With respect to the reference unknown angle,

the opposite side is 4 units and the hypotenuse is 16 units.

We know, sin = opposite/hypotenuse.

Therefore, sinФ = 4/16.

sinФ = 1/4.

Ф = sin⁻¹(1/4).

Ф = 14°.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ7

Step-by-step explanation:

A. Theta + 180 (when angle is less than 180)

Theta - 180(when angle is greater than 180)

Thus, 171 + 180 = 351°

B. I. Angle CBF + Angle BFG = 180 (Co interior angles)

CBF + 118 = 180

CBF + 118 –118 = 180 –118

CBF = 62°

Ii. 83 + X + CBF = 180 (Angles on a straight line)

83+X+62 =180

145+x=180

145–145+x=180–145

X = 35°