Which statements can be used to write an algebraic expression to represent the phrase? the product of a number and eighteen Check all that apply. Replace “a number” with a variable. Product represents addition. Product represents multiplication. The coefficient is 18. The correct algebraic expression is 18t. 18 is a variable. The correct algebraic expression is StartFraction t Over 18 EndFraction. helppppp please

Answer:

No.

Step-by-step explanation:

In order to complete the square, you need to have the x values together, not the constant.

To complete the square correctly you would need to have x² - 20x = -6 and continue from there; divide 20 by 2 and square the result to get (x - 10)² = 96.

Answer:

Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.

Step-by-step explanation:

is correct on edge :]

Answer:

7a + 5b  + 4.

Step-by-step explanation:

Adding like terms, 3a + 5a is 8a. 8a -a is 7a. Then 8b - 3b is 5b. Then there are no more like terms. You are left with 7a + 5b + 4.

Answer:

7a+5b+4

Step-by-step explanation:

Add the variables together

3a+5a-a=7a

8b-3b=5b

7a+5b+4

Answer:

  [tex]\dfrac{\sqrt[5]{810x^3}}{3x}[/tex]

Step-by-step explanation:

As a rule, the "simplified form" means there are no fractions under a radical.

  [tex]\sqrt[5]{\dfrac{10x}{3x^3}}=\sqrt[5]{\dfrac{10x(3^4x^2)}{3x^3(3^4x^2)}}=\sqrt[5]{\dfrac{810x^3}{(3x)^5}}=\boxed{\dfrac{\sqrt[5]{810x^3}}{3x}}[/tex]

Answer:

D on Edge

Step By Step Explination:

I did the test

Answer:

The 3rd one I took the quiz.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test for you to see if it was correct. i got a 100.

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of ration is written as 58:42.

The ratio has the greatest common factor as 2.

58÷2:42÷2

29:21

The simplified ratio becomes 29:21.

Answer:

162

Step-by-step explanation:

20736 x 729 x 4/216 x 64 x27

Now go ahead and do the cancellations

20736/216 =96

729/27 =27

64/4 =16

so you end up getting 96 x 27 x1 /26

96/16 =6

so you get 27 x 6 =162

Answer:

The population, after 15 hours grows from 6000 individuals to 42938 individuals.

Step-by-step explanation:

Recall the formula for exponential growth:

[tex]N(t)=N_0\,e^{k\,t|[/tex]

where the starting number of individuals in the population is [tex]N_0[/tex] (in our case 6000). "t" is the time in hours, and "k" is the rate of growth (unknown to us, but that we can find from the info they provide on how much the population grew in 2 hours.

The general exponential growth expression can then be written as:  [tex]N(t)=6000\,e^{k\,t|[/tex]

now imposing the 2 hour condition information:

[tex]7800=6000\,e^{k\,*\,2}\\\frac{7800}{6000} =e^{k\,*\,2}\\1.3=e^{k\,*\,2}\\ln(1.3)=2\,k\\k=\frac{ln(1.3)}{2} \\k=0.1312[/tex]

Now that we know the value of the rate of growth (k = 0.1312), we can estimate the population after 15 hours.

Now there is an important point here: If the question is what the population is after 15 hours from the starting 6,000 bacteria, then the answer is given by replacing t with 15 in the original formula:

[tex]N(15)=6000\,e^{0.1312\,*\,15}=42938[/tex]

On the other hand, if you are asked for the population 15 hours after you saw the growth of bacteria to 7800 in 2 hours, then you need to find the population after 17 hours from the very starting point (6000 bacteria). This answer is associated with a little more tricky question but worth to have in mind:

[tex]N(15)=6000\,e^{0.1312\,*\,17}=55821.5\approx 55822[/tex]

Answer:

g(1) = 1.8696

g(2) = 1.8662

Step-by-step explanation:

Simply plug in the x values into the equation in a calc and you should get your answer.

Answer:

see below

Step-by-step explanation:

The domain is the input values which is the independent variable

The range is the output values which is the dependent variable

Answer:

15/4

Step-by-step explanation:

This is because the denominator is 4 which means that there has to be 4 above it to make one:

4/4=1

So, with that being said, we do 4x3 = 12

But then we add 3 to the numerator(top number of the fraction) because the starting equation was:

3 3/4 = 15/4

Hope this helps!

Have a great day! :)

Answer:

First option is the correct choice.

Step-by-step explanation:

[tex]SA=\pi r^2+\pi r l\\\\=\pi \left(3\right)^2+\pi \left(3\right)\left(8\right)\\\\=33\pi \:ft^2[/tex]

Best Regards!

Answer:

Emanuel did a mistake in her first step.

Step-by-step explanation:

The given expression is

[tex]\left(\dfrac{3}{5}\right)\left(\dfrac{4}{9}\right)\left(-\dfrac{1}{2}\right)[/tex]

Emanuel solve this problem but she did a mistake in her first step. She distributes negative sign with 1 and 2 both which is incorrect. We can write negative sign with either 1 or 2 but not both.

Correct steps are:

Step 1:

[tex]\dfrac{(3)(4)(-1)}{(5)(9)(2)}[/tex]

Step 2:

[tex]\dfrac{-12}{90}[/tex]

Step 3:

[tex]-\dfrac{2}{15}[/tex]

Therefore, she did a mistake in her first step.

Answer:

a

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

Step 1: Change 1 1/5 to improper fraction

11/5

Step 2: KCF (Keep Change Flip)

11/5(-10/1)

-110/5

Step 3: Simplify

-22

And we have our answer!

Answer:

a, b, d, e

Step-by-step explanation:

Independent var is the # of gallons: true (generally graphs go in indep, dep format)

liters is a function of gallons: true

l = 3.79g is false, as 1 liter is not 3.79 gallons, but the other way around

as the number of gallons increases, the number of liters increases: true because this function has a positive slope

this is a function because every input has exactly 1 output: true

A function assigns the values. All the statements are true.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The independent variable is the number of gallons.

The statement holds true, generally when a table is formed x is on the left side of the table which is an independent variable and y is on the right side which is the dependent variable.

B.) Liters are a function of Gallons.

The statement is true, generally when a table is formed x is on the left side of the table which is an independent variable and y is on the right side which is the dependent variable. And y is a function of x, similarly, liters is the function of gallons.

C.) The equation l = 3.79g represents the table.

The equation is true if we substitue the value of gallons in the place of g, the output will be the value of l. Thus, the equation is true.

[tex]\rm l = 3.79g\\\\l = 3.79(1\ gallons) \rightarrow l=3.79\ liters\\\\l = 3.79(2\ gallons) \rightarrow l=7.58\ liters\\\\l = 3.79(6\ gallons) \rightarrow l=22.74\ liters[/tex]

D.) As the number of gallons increases, the number of litres increases.

The statement holds true and can be observed in the table.

E.) This is a function because every input has exactly one output.

The statement holds true and can be observed in the table.

Hence, all the statements are true.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Answer:

B.

Step-by-step explanation:

(4, 1) and (9, 5)

Slope = [tex]\frac{4}{5}[/tex]

It looks like they're picking point - slope form and they are using the point (4, 1).

[tex](y-1)=\frac{4}{5} (x-4)[/tex]

Answer:B.

Step-by-step explanation:

(4, 1) and (9, 5)  

The slope is 4/5

So the only line passing through is

posints 4,9 and 1,5 is

y-1=4/5(x-4)

Hope This helps :)

Answer:

see explanation

Step-by-step explanation:

Since Δ QRS ≅ Δ TUV then corresponding sides are congruent, that is

QS ≅ TV , thus

7v - 6 = 3v + 2 ( subtract 3v from both sides )

4v - 6 = 2 ( add 6 to both sides )

4v = 8 ( divide both sides by 4 )

v = 2

Thus

QS = 3(2) + 2 = 6 + 2 = 8

TV = 7(2) - 6 = 14 - 6 = 8

Answer:

For example, 5 can be written as 5/1.

Step-by-step explanation:

The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal. hope  this helps you :)

Answer:

0.0000039

Step-by-step explanation:

3.9 x 10^-6 = 3.9 x 1/1000000 = 0.0000039.

Hope this helps

Answer:

7

Step-by-step explanation:

If the mean of the data set is 8 innings, then:

[tex]\dfrac{11+12+7+3+x}{5}=8\\11+12+7+3+x=8 \times 5\\33+x=40\\x=40-33\\x=7[/tex]

Therefore, the number of innings Brantley pitched is 7

Answer:

7

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

D = 10.2

Step-by-step explanation:

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(2+6)^2+(4-2)^2}[/tex]

D = [tex]\sqrt{(10)^2+(2)^2}[/tex]

D = [tex]\sqrt{100+4}[/tex]

D = [tex]\sqrt{104}[/tex]

D = 10.2

Answer:

A. Hypotenuse-leg (HL) congruence.

HL, when you have 2 right triangles and their hypotenuses are congruent you are able to say HL

Step-by-step explanation:

We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.  

hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.  

BDA and DBC share a common side DB.

Using Pythagorean theorem we will get,

[tex]CD^{2}=DB^{2}+BC^{2}...(1) \\\\AB^{2}=DB^{2}+AD^{2}...(2)[/tex]

We have been given that CD=AB, Upon using this information we will get,

[tex]DB^{2}+BC^{2}=DB^{2}+AD^{2}[/tex]

Upon subtracting [tex]DB^{2}[/tex] from both sides of our equation we will get,

[tex]BC^{2}=AD^{2}\\\\BC=AD[/tex]

There are several congruence theorems that can be used to prove the congruence of triangles.

The congruence theorem to prove [tex]\mathbf{\triangle BDA \cong \triangle DBC}[/tex] is: (a) Hypotenuse Leg (HL)

From the complete question (see attachment), we have the following observations

When two triangles have an equal hypotenuse, then the congruence of both triangles can be proved by Hypotenuse Leg theorem

Hence, the congruence theorem to prove [tex]\mathbf{\triangle BDA \cong \triangle DBC}[/tex] is: (a) Hypotenuse Leg (HL)

Read more about congruence theorems at:

https://brainly.com/question/19568627

Answer:

See Reasoning Below

Step-by-step explanation:

To prove that AB = BL, or in other words AB ≅ BL, let us consider the triangles CED and BEL. If we were to prove they were congruent, then by CPCTC ( corresponding parts of congruent triangle are congruent ) DC ≅ BL. As AB ≅  DC by " Properties of Parallelogram " it would be that through transitivity, AB ≅ BL / AB = BL;

[tex]m<CED = m<BEL,\\BE = CE,\\m< DCE = LBE\\\\\\CED = BEL,\\DC = BL,\\AB = BL - Proved[/tex]

Now for " part 2 " we can consider that AB = DC, from part 1. If AB = BL, then AL = 2 ( AB ) by the Partition Postulate. AB = DC, so we can also say that AL = 2 ( DC ) - Proved

See attachment in statement reasoning form for part 1;

Answer:

∛16

Step-by-step explanation:

2^4/3

2^4 = 16

Then  16^1/3

∛16

Answer:

∛16

Step-by-step explanation:

2^4/3= (2^4)^1/3= 16^1/3= ∛16

Answer:

198 m³

Step-by-step explanation:

Find the area of the triangular prism.

3 × 4 × 1/2 × 9

= 54

Find the area of the rectangular prism.

4 × 4 × 9

= 144

Add their areas.

144 + 54 = 198

The area of the composite shape is 198 m³.

Answer:

0 real roots or 2 complex roots

Step-by-step explanation:

Discriminant: b² - 4ac

If d > 0, then there are 2 real zeros

If d = 0, then there is 1 real zero

If d < 0, then there are 0 real zeros and 2 complex/imaginary zeros

Simply substitute a = 1, b = -5, and c = 40

Our d should equal -135, showing us we have 0 real roots and 2 complex ones.

Answer:

(Choice B) B 10 ( h + 3 + 5 j ) 10(h+3+5j)10, left parenthesis, h, plus, 3, plus, 5, j, right parenthesis

(Choice C) C 2 ( 5 h + 15 + 25 j ) 2(5h+15+25j)2, left parenthesis, 5, h, plus, 15, plus, 25, j, right parenthesis

Step-by-step explanation:

10h+30+50j

There are two answers

First answer

Factorise using 10 as common factor

10h+30+50j

=10(h+3+5j)

(Choice B) B 10 ( h + 3 + 5 j ) 10(h+3+5j)10, left parenthesis, h, plus, 3, plus, 5, j, right parenthesis

Second answer

Factorise using 2 as the common factor

10h+30+50j

=2(5h+15+25j)

(Choice C) C 2 ( 5 h + 15 + 25 j ) 2(5h+15+25j)2, left parenthesis, 5, h, plus, 15, plus, 25, j, right parenthesis

Answer: Choice B and C

Step-by-step explanation:

Answer:

Brianliest!

Step-by-step explanation:

It could be found if you were given the rate

since there is no rate, the question should be answered that there is not enough information

Answer:

29

Step-by-step explanation:

it's arithmetic sequence.

it has a basic equation like this

Un = a + (n-1)d

a = U1 = first number in sequence

Un = number in n-th term

d = difference

U9 = 101 + (9-1)(-9)

U9 = 101 - 72

U9 = 29

so the 9th term is 29

Answer:

The ninth term is 29.

Step-by-step explanation:

You can just keep subtracting 9 until you reach term number 9, but here is an explanation of how a sequence and a sequence formula works.

The first term is 101.

[tex] a_1 = 101 [/tex]

Then each term after that is 9 less than the previous term.

[tex] a_2 = 101 - 9 = 92 [/tex]

[tex] a_3 = 101 - 9 - 9 = 92 - 9 = 83 [/tex]

[tex] a_4 = 101 - 9 - 9 - 9 = 83 - 9 = 74 [/tex]

Now you begin to see a pattern.

Term 1 is simply 101 because that is what we were told about this sequence.

Term 2 is 9 subtracted from 101.

Term 3 is 2 times 9 subtracted from 101.

Term 4 is 3 times 9 subtracted from 101.

Each term after that is a multiple of 9 subtracted from 101. Which multiple of 9 is subtracted from 101 for each term? It is 9 multiplied by 1 less than the term number.

Look again at the terms above.

Term 1 is 101.

Term 2 is term number 2. What is subtracted from 101? 1, which is 1 less that the term number, multiplied by 9.

Term 3 is term number 3. 1 less than the term number is 2. That is the number of times you multiply 9 by and subtract from 101.

To write a formula for any term n, where n is 2 or greater, then term number n is

[tex] a_n = 101 - 9(n - 1) [/tex]

Now let's find term 9. We can use the formula above or we can reason the way I explained above. I'll show you both ways.

Reasoning:

Term 9 is term number 9. One less than 9 is 8. That means we start with 101 and we subtract 8 times 9.

[tex] a_9 = 101 - 8 \times 9 = 101 - 72 = 29 [/tex]

Formula:

[tex] a_n = 101 - 9(n - 1) [/tex]

n stands for the number of the term we want. We want term 9, so n = 9.

[tex] a_9 = 101 - 9(9 - 1) = 101 - 9(8) = 101 - 72 = 29 [/tex]

Answer:

C

Step-by-step explanation:

Δ AQP and Δ ACB are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AQ}{AC}[/tex] = [tex]\frac{PQ}{BC}[/tex] ( note that AC = 3 + 6 = 9 ), substitute values

[tex]\frac{3}{9}[/tex] = [tex]\frac{4.5}{BC}[/tex] ( cross- multiply )

3BC = 40.5 ( divide both sides by 3 )

BC = 13,5 cm → C

Step-by-step explanation:

-7y > 161

7y < 161

7÷7=1

161÷7=23

y=23

7y > -161

7÷7=1

-161÷7=-23

y=-23

Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>