could someone please answer 1 and 7:)​

Answer:

(x + 2)

Step-by-step explanation:

When we factor the expression x² - 8x - 20, we should get (x + 2)(x - 10).

Alternatively, we can use synthetic division or long division to get our answer.

Answer:

x + 2

Step-by-step explanation:

got it right edg '22

Answer: C) 5

Step-by-step explanation:

First let's distribute the left side of the equation.

2/3a - 9 1/3 = -3(a-3)

Then let's distribute the right side of the equation.

2/3a - 9 1/3 = -3a + 9

Then let's move all the a's to one side, and all the constants to the other.

3 2/3a = 18 1/3

Then divide both sides of the equation by 3 2/3.

a = 5

Hope it helps <3

Answer:

110

Step-by-step explanation:

There are 200 people in a cinema- This is our total amount.

25 % of the people are men.

.25 times 200= 50

There are 50 men.

1/5 (20%) of the people are women.

.2 times 200 = 40

There are 40 women.

50+40 = 90

There are 90 adults in the cinema.

If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.

The percentage is 55%.

The simplified fraction is 11/20.

The decimal is .55  

Answer:

0.07%

Step-by-step explanation:

This equation is solving for what percentage of 100 kg is 0.07 kg.

1. Set up the equation

[tex]\frac{0.07}{100}[/tex] = [tex]\frac{x}{100}[/tex]

0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.

2. Solve by cross multiplying

100x = 7

3. Solve for x by dividing both sides by 100

x = 0.07

The answer is 0.07%

Answer:

143.81

Step-by-step explanation:

Trapezoid Area

A = 2b/2 * h

A = 9 + 23/2 * 7

A = 32/2 * 7

A = 16 * 7

A = 112

Semi-circle Area

A = πr²/2

A = π4.5²/2

A = π20.25/2

A = 63.62/2

A = 38.81

Total Area

112 + 38.81

143.81

Answer:

900L per minute

Step-by-step explanation:

1- 70 - 20 = 50

2- in this 50 min the 45000L has been drawned

3- 45000L / 50 = 900L

.. ..

Answer:

The two inequalities are;

P ≤ 90e^(0.047t)

P ≤ 270 + 100·t

Step-by-step explanation:

The parameters given for the testing of the new growth inhibitor are;

The growth rate of the bacteria = 4.7% exponentially

The growth inhibitor lowers the growth rate

The population of bacteria after time, t = P

The increase in the number of bacteria per unit time in the 100

The maximum number of bacteria in the standard tube = 270

Therefore, the number of bacteria after the first filling of the tube is P ≤ 270 + 100·t

The equation for exponential growth is [tex]A_0 e^{kt}[/tex]

Where:

A₀ = Initial population = 90

k = Percentage growth rate as percentage

t = Time

The equation for the population of bacteria under the influence of the inhibitor is therefore;

P ≤ [tex]90 \times e^{0.047 \cdot t}[/tex] which is P ≤ 90e^(0.047t).

Answer:

P≤270+100t

P≤90e^(0.047t)

A) Relative frequency is number of times an event happened over total number of events:

Answer is 21/50 = 0.42

B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50

C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.

Answer:

d: Routing number

Step-by-step explanation:

To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.

Answer:

About $3.28

Step-by-step explanation:

Divide 24.33 by 7.4

Answer:

3.28783783784...

Step-by-step explanation:

You're description could turn into 24.33 : 7.4.

You turn 7.4 into 1, and divide 7.4 / 1.

(It is 7.4)

Then, you divide 24.33 / 7.4.

It is 3.28783783784.......

or, If you want you're answer close to an natural number, It is 3.

Answer:

Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together

chicken=128

beef= 80

fish=32

vegetarian=112

128+80+32+112= 352 people ate at the restaurant

Answer:

Altogether, 88 people went to the restaurant.

Step-by-step explanation:

Answer:

150  cans

Step-by-step explanation:

Answer:

30 people

Step-by-step explanation:

If you start off with 1/2 a lemon for 6 people, then 1 whole would be 12. 1 1/2 would be 18 people and 2 whole lemons would be 24. so 2 1/2 is 30 people.

Answer:

cD /100

Step-by-step explanation:

Change the percent to a fraction

c% = c/100

Multiply by the sale

D * c/100

cD /100

Answer:

x = 136

Step-by-step explanation:

A quadrilateral always has angles that sum to 360.  Thus, 47 + 95 + 82 + x = 360.  Subtract 47, 95, and 82 from each side and get x = 136.

Hope it helps <3

Answer:

4^2

Step-by-step explanation:

4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!

Answer:

the answer is

Step-by-step explanation:

4 to the power of 2

you add 4 and 3 which is 7

and 7 subtract 5 which is

4 to the power of 2

Answer: option 4) 15°, 30°, 135°

Step-by-step explanation: because the triangle angle rule says that all the intererior angles of the triangle sum upto 180° always

Answer:

4) 15°,30°,135°

Step-by-step explanation:

The interior angles of a triangle will add up to 180°, so we have to choose an answer choice with angles that all add up to 180.

Answer #4 is correct because 15 + 30 + 135 = 180.

Answer:

Solution,

Area of rectangle= 524.4 m^2

Length(L)= 6.9 m

Breadth(B)=?

Now,

[tex]area = length \times breadth \\ or \: 524.4 = 6.9 \times b \\ or \: 524.4 = 6.9b \\ or \: b = \frac{524.4}{6.9} \\ b = 76 \: m[/tex]

Again,

Perimeter of rectangle:

[tex]2(l + b) \\ = 2(6.9 + 76) \\ = 2 \times 82.9 \\ = 165.8 \: m[/tex]

Hope this helps...

Good luck on your assignment.....

Answer:

The perimeter of the rectangle is 165.8cm

Step-by-step explanation:

Area of a rectangle = length × width

Area = 524.4m²

length = 6.9m

524.4 = 6.9 × width

width = 524.4 / 6.9

width = 76m

Perimeter of a rectangle =

2(length ) + 2(width)

length = 6.9m

width = 76m

Perimeter = 2( 6.9) + 2(76)

= 13.8 + 152

The final answer is

= 165.8cm

Hope this helps you

Answer:

 I think its D?

         Hope this helped!

Answer: 343 cm³

Step-by-step explanation:

The surface area of a cube is 6s^2, where s is the side length of a square.  Thus, first do 294/6 to get 49.  Then take the square root of 49 to get that each side of the cube is 7.  The volume of a cube is s^2, so simply do 7*7*7 to get that the volume of the cube is 343cm^3

Hope it helps <3

Answer:

V =343 cm^3

Step-by-step explanation:

The surface area of a cube is given by

SA = 6s^2 where s is the side length

294 = 6s^2

Divide by 6

294 / 6 = s^2

49 = s^2

Take the square root of each side

sqrt(49) = sqrt(s^2)

7 =s

The volume of a cube is

V = s^3

V = 7^3

V =343 cm^3

Answer:a

Step-by-step explanation:

Answer:

Equation: f(x) = -x² + 3

Step-by-step explanation:

If we want to find the roots/solve for x, we can either graph the problem or use quadratic formula to find when f(x) = 0:

To get the equation of the graph, our parent function is: f(x) = a(x - h)² + k, or f(x) = x². Since we are reflecting over the x-axis with a vertical stretch and vertically moving up to (0, 3), we are modifying a and k only.

Answer:

it is 13093 i got it correct

The temperature (t) needs to be greater than 60

So you would have t > 60

Answer:

t > 60

Explanation:

In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'

Read the following quote from the problem...

"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."

Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.

Now, let's find out what symbol we will use to compare the terms.

Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.

Finally, use all the facts we have established to write the inequality.

· t = air temperature

· > = greater than

· 60 = max temp. before forest fire occurs

Therefore, the inequality for the solution is t > 60.

Answer:

Rational.

Step-by-step explanation:

Irrational numbers are real numbers that can't be written as fractions.

One clue is that the decimal goes on forever (doesn't terminate) without repeating. (pi)

.14 can be written as a fraction: 14/100

Answer:

It's rational

Step-by-step explanation:

Because irrational numbers cannot be written s a fraction and rational numbers can

Answer:

102.88 m

Step-by-step explanation:

Pythagorean Theorem:

a²+b²=c²

48²+91²=c²

2304+8281=10585

c²=10585

Square both sides

c= 102.88

How far the players ran:

102.88 m

Answer:

(2)They are perpendicular.

Step-by-step explanation:

Answer:

[tex]a = 3[/tex]

Step-by-step explanation:

[tex]3 {a}^{2} = 27 \\ \frac{3 {a}^{2} }{3} = \frac{27}{3} \\ {a}^{2} = 9 \\ a = \sqrt{9} \\ a = 3[/tex]

Answer: 9

Step-by-step explanation:

First divide both sides by 3

[tex]a^2=9[/tex]

Then root both sides([tex]\sqrt{a^2}=\sqrt{9}[/tex])

a = 9

Hope it helps <3

Edit: :o this is my 250th answer

Answer:

[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]

Step-by-step explanation:

[tex]$\left(\frac{1}{2}x+3y \right)^4=\left(\frac{x}{2}+3y \right)^4\\$[/tex]

Binomial Expansion Formula:

[tex]$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$[/tex], also [tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]

We have to solve [tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\sum_{k=0}^{4} \binom{4}{k} \left(3 y\right)^{4-k} \left(\frac{x}{2}\right)^k$[/tex]

Now we should calculate for [tex]k=0, k=1, k=2, k=3 \text{ and } k =4;[/tex]

First, for [tex]k=0[/tex]

[tex]$\binom{4}{0} \left(3 y\right)^{4-0} \left(\frac{x}{2}\right)^{0}=\frac{4!}{(4-0)! 0!}\left(3 y\right)^{4} \left(\frac{x}{2}\right)^{0}=\frac{4!}{4!}(81y^4)\cdot 1 =81 y^{4}$[/tex]

It is the same procedure for the other:

For [tex]k=1[/tex]

[tex]$\binom{4}{1} \left(3 y\right)^{4-1} \left(\frac{x}{2}\right)^{1}=54 x y^{3}$[/tex]

For [tex]k=2[/tex]

[tex]$\binom{4}{2} \left(3 y\right)^{4-2} \left(\frac{x}{2}\right)^{2}=\frac{27}{2} x^{2} y^{2}$[/tex]

For [tex]k=3[/tex]

[tex]$\binom{4}{3} \left(3 y\right)^{4-3} \left(\frac{x}{2}\right)^{3}=\frac{3}{2} x^{3} y$[/tex]

For [tex]k=4[/tex]

[tex]$\binom{4}{4} \left(3 y\right)^{4-4} \left(\frac{x}{2}\right)^{4}=\frac{x^{4}}{16}$[/tex]

You can perform the calculations, I will not type everything.

The answer is the sum of elements calculated.

Just organizing:

[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]

Answer:  [tex]\bold{\dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4}[/tex]

Step-by-step explanation:

                     Binomial Tree

n=0                         1

n=1                      1      1

n=2                  1    2     1

n=3               1    3    3     1

n=4            1    4    6    4    1

Using the Binomial Theorem

[tex]\bigg(\dfrac{1}{2}x+3y\bigg)^4\\\\\\=1\bigg(\dfrac{1}{2}x\bigg)^4(3y)^0\quad \rightarrow \quad \dfrac{1}{16}x^4\\\\+4\bigg(\dfrac{1}{2}x\bigg)^3(3y)^1\quad \rightarrow \quad \dfrac{3}{2}x^3y\\\\+6\bigg(\dfrac{1}{2}x\bigg)^2(3y)^2\quad \rightarrow \quad \dfrac{27}{2}x^2y^2\\\\+4\bigg(\dfrac{1}{2}x\bigg)^1(3y)^3\quad \rightarrow \quad 54xy^3\\\\+1\bigg(\dfrac{1}{2}x\bigg)^0(3y)^4\quad \rightarrow \quad 81y^4[/tex]

______________________

[tex]= \dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4[/tex]