If a=-4xa=−4x and b=5ib=5i, then find the value of ab^2ab 2 in fully simplified form.

Answer:

x = 7

Step-by-step explanation:

A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that

7x+8 = 9x - 6

subtract 7x from both sides to put the variable on one side

2x - 6 = 8

add 6 to both sides to isolate the variable and its coefficient

2x = 14

divide both sides by 2 to isolate x

x = 7

Answer:

C. Public colleges are cheaper for in-state residents.

Step-by-step explanation:

Answer:

20 necklaces

Step-by-step explanation:

If Elizebeth is starting off w/10 necklaces we can find on the graph that $10 buys an additional 10 necklaces. Now knowing that information we can add 10 necklaces to our original necklaces and get 20 necklaces. We can also find that our unit rate of change is 10 dollars : 10 necklaces or 1 dollar : 1 necklace. Knowing this can help us solve future problems like how many necklaces can Elizebeth get for x dollars.

Answer:

1. 37.5

2. 8

Step-by-step explanation:

1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.

this means that 16/46 = 20/(x+20)

then, just solve that for x

16/46 = 20/(x+20)

divide both sides by 4

4/46 = 5/(x+20)

multiply both sides by (x + 20)

(x+20) * 4/46 = 5

multiply both sides by 46

4x + 80 = 230

subtract 80

4x = 150

divide 4

x = 37.5

2. do the same thing ( still similar triangles)

the equation would be (3x + 1)/10 = (7x - 1)/22

solve

22(3x + 1) = 10(7x - 1)

66x + 22 = 70x - 10

32 = 4x

x = 8

Answer:

3

Step-by-step explanation:

7-4=3

Answer:

He has three!

Step-by-step explanation:

7-4=3 so manuel needs three more gallons! Hope this helps! :)

(i) Given number = 8.02×10^-5

⇛ 8.02/100000

⇛ (802/100)/100000

⇛ 802/10000000

⇛ 0.0000802

The usual form of 8.02×10^-5 is 0.0000802

(ii) Given number = 4.5×10³

⇛4.5×1000

⇛ (45/10)×1000

⇛ 45×100

⇛ 4500

The usual form of 4.5×10³ is 4500

(iii) Given number = 7×10^-5

⇛ 7/100000

⇛ 0.00007

The usual form of 7×10^-5 is 0.00007

(iv) Given number = 1.0001×10⁸

⇛ 1.0001×100000000

⇛ (10001/10000)×100000000

⇛ 10001×10000

⇛100010000

The usual form of 1.0001×10⁸ is 100010000

(v) Given number = 4.3×10¹²

⇛ 4.3×1000000000000

⇛ (43/10)×1000000000000

⇛ 43×100000000000

⇛ 4300000000000

The usual form of 4.3×10¹² is 4300000000000

(vi) Given number = 3.61492×10⁵

⇛ 3.61492×100000

⇛ (361492/100000)×100000

⇛ 361492

The usual form of 3.61492×10⁵ is 361492

Answer:

69 degrees

Step-by-step explanation:

yeah

Answer:

26

Step-by-step explanation:

3*8=24+2=26

Answer:

We solve 6 + 4

6 + 4 = 10.

Square root of 10:

Step-by-step explanation:

Answer: Look below

Step-by-step explanation:

10% = $120.90

1% = $12.09

11% = $132.99

$1,209 + $132.99 = $1,341.99

She made a $132.99 profit or $1,341.99

—————————————————————

8% = 96.72

$1,341.99 - $96.72 = $1245.27

————————————————

Or if it is $96.72 off the price she bought it then it would be

$1,209 - $96.72 = $1,112.28

An appropriate cautious reading of a receipt entail making sure that the

items charged are the same as the items received and checking to see if all

of the discounts were applied properly,

When an item is bought, a receipt is usually issued which confirms that

payment has been made for the goods or services. Receipt however should

be properly checked to detect any error in the course of the transaction.

Making sure that the items charged are the same as the items received and

checking to see if all of the discounts were applied properly should be done

to avoid shortages of the resources of the parties involved.

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Answer:

c

Step-by-step explanation:

Answer:

14%

Step-by-step explanation:

Answer:

x+38

Step-by-step explanation:

ok so try to understand my explaination!

it goes by simplifying one by one :)

(18*2+6x+5)+(3*2-5x-9)

(41+6x)+(-3-5x)

41+6x-3-5x

41-3=38

6x-5x=(1)x

x+38

try to understand, im not amazing at explaining :)

Answer:

109.50

Step-by-step explanation:

cost of membership + individual visit price

49.50+ 12*5          (cost of membership plus amount of visits * ticket price)

109.50

Answer:

B and E are the only correct answers.

Step-by-step explanation:

The top can's diameter is 2 inches, so the radius is 1. First find the area of the circular end, pi * r^2, 3.14 * 1^2 = 3.14

Then multiply by the height  3.14 * 5 = 15.7 cubic inches

The middle can's diameter is 5 inches so the radius is 2.5.

3.14 * 2.5^2 = 3.14 x 6.25 = 19.625

Multiply by the height 19.625 * 3 = 58.875 cubic inches

The bottom can's diameter is 6 inches, so the radius is 3. 3.14 * 9 = 28.26

Multiply by the height 28.26 * 2 = 56.52 cubic inches

15.7 + 58.875 + 56.52 = 131.095

B and E are the only correct answers.

It will take about 5 years for her investment to grow to $2400.

The formula for calculating the compound amount is expressed according to the equation;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the given parameters into the formula to have:

[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]

Take the natural logarithm of both sides

[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]

Hence it will take about 5 years for her investment to grow to $2400

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Answer:

4^n-1

Step-by-step explanation:

So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)

Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items

In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).

Applying "ar^n-1 " we get,

1*4^n-1 which is , 4^n-1

Thats the formula which represents the situation....

Answer:

Infinitely Many Solutions

Step-by-step explanation:

[tex]2(2x+3)=-4+2(2x+5)\\\\4x+6=-4+4x+10\\\\4x+6=4x+6\\\\Infinitely~Many~Solutions[/tex]

Answer:

9/10 < 7/5

Step-by-step explanation:

7/5 = 14/10

9/10 < 14/10

Answer:

7/5 is greater than 9/10

Step-by-step explanation:

7/5 = 14/10

Answer:

6

Step-by-step explanation:

15% of 40 is 6.

So 6 was absent.

Out of 40 students total 6 students were absent on the particular day.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Total number of students in a class = 40.

Also, 15% of the total students were absent on a fixed day.

To find the number of students who were absent,

Use percentage property,

Absent students = 40 x 15%

= 40 x 15/ 100

= 600 / 100

= 6

Total number of 6 students were absent on that day.

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The sum of polynomials involves adding the polynomials

The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

The sum of the polynomials is given as:

[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]

One of the polynomials is given as:

[tex]P = 4y^2 - 3[/tex]

Represent the other polynomial with Q.

So, we have:

[tex]P +Q =Sum[/tex]

Substitute the expressions for P and Sum

[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]

Make Q the subject

[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]

Evaluate like terms

[tex]Q =y^3 -y^2+ 4y - 1[/tex]

Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

Read more about polynomials at:

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Answer:

Step-by-step explanation:

The "gradient" is the coefficient of x. The "intercept" is the constant.

__

gradient: 10

intercept: 6

__

gradient: -2

intercept: 2

Q1.

For the line equation Y = 10x + 6:

The gradient is the coefficient of x, which is 10.

The intercept is the constant term, which is 6.

Q2.

For the line equation y = 2 - 2x:

The gradient is the coefficient of x, which is -2.

The intercept is the constant term, which is 2.

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Answer:

60√2

Step-by-step explanation:

Factor the value 450

450 = 9 x 50 = 9 x 5 x 2

4√450 = [tex]4\sqrt{9*25*2[/tex]

            = [tex]4*3*5\sqrt2[/tex]

            = [tex]60\sqrt2[/tex]

[tex]60\sqrt2[/tex]

-Chetan K

Following are the calculation to the square root:

Given:

[tex]\bold{4 \sqrt{450}}[/tex]

To find:

square root=?

Solution:

Calculating the factor of 450:

[tex]\to 450 = 9 \times 50 = 9 \times 5 \times 2 \\\\\to 4\sqrt{450} =4 \sqrt{ 9 \times 25 \times 2}\\\\[/tex]

               [tex]=4 \times 3 \times 5 \sqrt{2} \\\\ =60 \sqrt{2} \\\\[/tex]

Therefore, the final answer is "[tex]60 \sqrt{2}[/tex]".

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Answer:

statement 1) similar because of the shape

theorem 2)n to m

b) statement 1)similar because of shape

2)the two are triangle but the position has been changed

Answer:

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Step-by-step explanation:

Answer:

20 ft

Step-by-step explanation:

It is 20 ft because you use pathagoren therom.

a^2 + b^2 = c^2

Answer:

The question cut off but I'm assuming this is basically just a find the area of the shaded region type of question. First thing you need to do is calculate the areas of the right triangle and the rectangle. Subtract the area of the triangle from the area of the rectangle.

Area of rectangle: 8 x 7 = 56ft^2

Area of the triangle: (6 x 2)/2 = 6ft^2

Subtract 6ft^2 from 56ft^2 and you get:

56 - 6 = 50ft^2

Area of shaded region is 50ft^2

Answer:

1. x (multiplication)

2. / (division)

3. - (subtraction)

4. - (subtraction)

5. / (division)

Step-by-step explanation:

1. 24 x 3/4= 18

2. 24/-3/4=-32

3. 12- 15= -3

4. 12- (-15)= 12 + 15 = 27

5. -18 / -3/4= 24

#a

[tex]\\ \sf{:}\dashrightarrow 24\times \dfrac{3}{4}=18[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow 24\div \dfrac{-3}{4}=-32[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow 12-15=-3[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow 12-(-15)=27[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow -18\div \dfrac{-3}{4}=24[/tex]