100 POINTS! PLEASE HELP!!
Hey y'all! I haven't gotten a correct answer/explanation for this question and I struggling so if someone could help, I'd really appreciate it! :)

Suppose RT= 16 in. and ST= 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.

Answer:c

Step-by-step explanation:

Answer:

(2•5y to the 7th power)

Step-by-step explanation:

Step 1:  (2y to the 4th power • 5) • y to the 3rd power

Step 2:  (2•5y to the 4th power) • y to the 3rd power

Step 3:  3.1    y to the 4th power multiplied by y to the 3rd power = y to the  (4 + 3) power = y to the 7th power

Final answer:  (2•5y to the 7th power)

The expression [tex]2y^{4} * 5y^{3}[/tex]  is equal to 10[tex]y^{7}[/tex].

When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.

When the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]

According to the question

[tex]2y^{4} * 5y^{3}[/tex]

Now,

Using the multiplying exponent rule :

the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]

Therefore,

As, base y is common in both the terms

= 10[tex]y^{4+3}[/tex]

= 10[tex]y^{7}[/tex]

Hence, the expression [tex]2y^{4} * 5y^{3}[/tex]  is equal to 10[tex]y^{7}[/tex].

To know more about multiplying exponent here:

https://brainly.com/question/219134

#SPJ3

Answer:

A pastry shop has fixed costs of

$

280

per week and variable costs of

$

9

per box of pastries. The shop’s costs per week in terms of

x

,

the number of boxes made, is

280

+

9

x

.

We can divide the costs per week by the number of boxes made to determine the cost per box of pastries.

280

+

9

x

x

Notice that the result is a polynomial expression divided by a second polynomial expression. In this section, we will explore quotients of polynomial expressions.

Simplifying Rational Expressions

The quotient of two polynomial expressions is called a rational expression. We can apply the properties of fractions to rational expressions, such as simplifying the expressions by canceling common factors from the numerator and the denominator. To do this, we first need to factor both the numerator and denominator. Let’s start with the rational expression shown.

x

2

+

8

x

+

16

x

2

+

11

x

+

28

We can factor the numerator and denominator to rewrite the expression.

(

x

+

4

)

2

(

x

+

4

)

(

x

+

7

)

Then we can simplify that expression by canceling the common factor

(

x

+

4

)

.

x

+

4

x

+

7

Answer:

Step-by-step explanation:

Use the identity :   a² - b² = (a + b )(a - b)

25 and 36 should be written in the form raised to power 2

25 = 5 * 5  = 5²

36  = 6 * 6 = 6²

[tex]\frac{e^{2}}{25}-\frac{f^{2}}{36}=\frac{e^{2}}{5^{2}}-\frac{f^{2}}{6^{2}}\\\\=(\frac{e}{5})^{2}-(\frac{f}{6})^{2}\\\\=(\frac{e}{5}+\frac{f}{6})(\frac{e}{5}-\frac{f}{6})[/tex]

Yes, 5:10 and 2:4 are equivalent.

5:10 (simplified) = 1:2

2:4 (simplified) = 1:2

Hope this helps; have a great day!

Answer:

Yes

Step-by-step explanation:

5:10 is equivalent to 2:4

Both can be simplified to 1:2

Answer:

Terry Clayton tiene un contrato de arrendamiento por tiempo indefinido para un SUV. El arrendamiento cuesta $ 421.38 por 48

meses. Pagó un depósito de $ 2,500, una tarifa de título de $ 85 y una tarifa de licencia de $ 235. Al final del arrendamiento, puede comprar el vehículo por su valor residual de $ 15,644. ¿Cuál es (a) la

cantidad total de pagos y (b) el costo total del arrendamiento?

Step-by-step explanation:

Answer:

it would be 17 im positive

Step-by-step explanation:

.

Answer: A) 8

Step-by-step explanation: since there are 8 girls every boy if there are 8 girls in the program 1x8=8 so there are 8 boys. plz mark me brainliest

Answer:

m=0

Step-by-step explanation:

the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)

we are given the points (-2,1) and (7,1)

label the points:

x1=-2

y1=1

x2=7

y2=1

now substitute into the equation

m=(1-1)/(7--2)

m=0/9

m=0

the slope of the line is 0

Hope this helps!

Answer:

BC = 18.34°

Step-by-step explanation:

Recall: Exterior angle formed by 2 secants = ½(the difference of the measures of the intercepts arcs)

Thus:

m<BAC = ½(DE - BC)

27.42° = ½(73.18 - BC) => Substitution

Multiply both sides by 2

2*27.42 = 73.18 - BC

54.84 = 73.18 - BC

BC = 73.18 - 54.84

BC = 18.34°

Answer:

- 1/729

Step-by-step explanation:

math

Answer:

(-4, -5)

Step-by-step explanation:

Answer:

It is correct actually.

Step-by-step explanation:

141 + 39 = 180

Yeah, that's correct

Explanation: Supplementary angles add to 180 degrees. If angle R is 39 degrees then angle S has to be 141 degrees because 39 + 141 = 180.

Answer:

2(3)-8

=-2

45-4.5

=40.5

32+2(4)-7

=33

Answer:

1.x37

2.66y

3.59g

Step-by-step explanation:

so you divied and subtract

you do the same

but add for the last

Answer:

1/ 12

Step-by-step explanation:

Sample space :

(H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)

Probability = required outcome / Total possible outcomes

Required outcome = roll a 6 and toss a heads = 1

Total possible outcomes = sample space = 12

= 1/12

Step-by-step explanation:

step 1. 10x/y - x when x = 4, y = 8

step 2. 10(4)/8 - 4

step 3. 40/8- 4

step 4. 5 - 4

step 5. answer: 1

Answer:

1. Exponential

2. Linear

Step-by-step explanation:

1. Exponential

Principal = 15000

Rate, r = 6.5% compounded annually

A = P(1 + r)^t

A = 15000(1 + 0.065)^t

A = 15000(1.065)^t

2. Linear

Let initial amount in bank = x

Amount added per week = 2

Number of weeks or period = t

A = x + 2t

Answer:

plot $30 on the line above one and plot $50 on the line above two and keep doing the same thing

Step-by-step explanation:

Plot the data first using the results above, so u can draw the line,

Then u can answer the questions, if the line goes through all the points its proportional, vice versa

Answer:

y=11x-18

Step-by-step explanation:

y=11x+b (b is the unknown y-int)

to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*

y=11x+b

4=11(2)+b

4=22+b

b=-18

the equation of the line:

y=11x-18

Answer:

D. 270

Step-by-step explanation:

With the information given you can work your way around the table to fill in the blanks

300-120=180 Red-footed one-headed

180+200=380 total red-footed

650-380=270 total black-footed (answer)

270-120=150 black-footed two-headed

150+200=350 two-headed

Answer:

270

Step-by-step explanation:

300-120=180,to get one headed red footed

650-300=350, total two headed.

350-200=150, to get two headed black footed.

150+120=270, total black footed mizjigs

Answer:

42

Step-by-step explanation:

25+2(12)-7

25 + 24 - 7

49 - 7

42

[tex] \huge \color{Red} Answer: [/tex]

[tex]25 + 2(3 \times 4 ) - 7 = [/tex]

[tex]25 + 2 \times 12 - 7 = [/tex]

[tex]25 + 24 - 7 = [/tex]

[tex]49 - 7 = 42[/tex]

[tex] \huge \color{Blue} Explaination: [/tex]

First, Multiply the numbers inside the parentheses.

Second, Also Parentheses is also a Multiply sign so Multiply 12 and 2.

Third, Follow the left to right rule so add 25 and 24.

Lastly, Subtract the last number.

[tex] \large \color{Purple} Rules \: of \: PEMDAS:[/tex]

If you see a Parentheses do them first then Exponent next Multiplication and so forth.

[tex] \large \color{Green} PEMDAS \: stands \: for:[/tex]

Answer:

A) $840

Step-by-step explanation:

15•40 gives us how much money he makes a week normally

divide the result, 600, by 5 to find out how much he makes a day normally which is $120

now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days

so he makes $120 normally and $240 on holiday

120•3= 360

240•2= 480

then add

360+ 480= $840

hope this helps <3

Answer:

a = [tex]\frac{12}{\sqrt{3} }[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

a × [tex]\sqrt{3}[/tex] = 12 ( divide both sides by [tex]\sqrt{3}[/tex] )

a = [tex]\frac{12}{\sqrt{3} }[/tex]

Answer:

a; d = 20n

Step-by-step explanation:

you can use the process of elimination and an example problem to help!

so if mason mowed 2 lawns, he'd make $40, right? now you could try each equation to see which one equals $40

a. d = 20(2) ⇒ d = 40

b. n = 20d ⇒ 2 = 20d ⇒ d = 0.1

c. d = 20 ÷ n ⇒ d = 10

d. n = 20 + d ⇒ 2 = 20 + d ⇒ d = -18

therefore, your answer would be A!

Answer:

She would have 12.13 cents left over

Step-by-step explanation:

Answer: The answer is $23.95

Step-by-step explanation: You could get the answer by adding 7.65+7.65+8.65 or 7.65x7.65+8.65

Answer: -10x+38

Step-by-step explanation:

Take your given equation

-2(3x-5)+4(7-x)

Distribute the -2 and 4 into the parenthesis'

-6x+10+28-4x

Combine like terms

-10x+38

Answer:

It should be Ratio and Proportions .

Answer:

Step-by-step explanation:

a proportion.  Both ratios are the same thing. If you divide 15000 by 30 you get 500

If you divide 210 by 30, you get 7

It is always true that a proportion will have equal equal ratios on either side of the equal sign.

Answer:

-4,0 and 6.

Step-by-step explanation:

f(x) = 0 is when y = 0.

If you look at the graph, there are 3 instances when y = 0

and it happens when x = -4, x = 0 and x = 6.

Therefore, the solutions of f(x) when y =0 are -4,0 and 6.

Answer:

it s b) 4 2 the power of 7

Step-by-step explanation: