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Use a table to multiply (–5a)(2a – 1). A) –15a B) 5a2 + 10a C) –10a2 – 5a D) –10a2 + 5a

Answers

Answer 1
Answer:

Answer:

-10a² + 5a

Step-by-step explanation:

Given the expression (–5a)(2a – 1)

Open the bracket

(–5a)(2a – 1)

= -5a(2a) -5a(-1)

= -10a² + 5a

hence the equivalent expression is -10a² + 5a

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Consider the set S of primes less than 15. List the set S . (Input this as a list with no spaces, use commas.) How many subsets does the set have

Answers

9514 1404 393

Answer:

  S = {2, 3, 5, 7, 11, 13}

  2^6 = 64 subsets

Step-by-step explanation:

The list of primes less than 15 is ...

  S = {2, 3, 5, 7, 11, 13}

__

A set with n unique elements has 2^n unique subsets, including the empty set and the full set. This set of 6 elements has 2^6 = 64 subsets.

I need help! plz (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

angle M = 60

angle Q = 70

Step-by-step explanation:

M 180/3 = 60

Q 180-40 = 140/2 = 70

Find the scale factor of the line segment dilation. AB: endpoints (-6, -3) and (-3,-9) to A'B': endpoints at (-2, -1) and (-1, -3). A) -1/3 B) 1/3 C) 3D) -3

Answers

we know that the endpoints of AB are

\begin{gathered} (x_1,y_1)=\mleft(-6,-3\mright) \n (x_2,y_2)=(-3,-9) \end{gathered}

and the distance formula is given by

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

By substituying these points, we have that

d=\sqrt[]{(-3-(-6))^2+(-9-(-3))^2}

which is equal to

\begin{gathered} d=\sqrt[]{(-3+6)^2+(-9+3)^2} \n d=\sqrt[]{3^2+(-6)^2} \end{gathered}

then

\begin{gathered} d=\sqrt[]{9+36} \n d=\sqrt[]{45} \n d=\sqrt[]{9\cdot5} \n d=\sqrt[]{9}\cdot\sqrt[]{5} \n d=3\sqrt[]{5}\ldots..(A) \end{gathered}

On the other hand, if

\begin{gathered} (x_1,y_1)=(-2,-1) \n (x_2,y_2)=(-1,-3) \end{gathered}

similarly to the previous case, the distance between the endpoint for A'B' is

d=\sqrt[]{(-1-(-2))^2+(-3-(-1))^2}

which is equal to

\begin{gathered} d=\sqrt[]{(-1+2)^2+(-3+1)^2} \n d=\sqrt[]{1^2+(-2)^2} \n d=\sqrt[]{1+4} \n d=\sqrt[]{5}\ldots..(B) \end{gathered}

Now, by comparing equation A and equation B, we can see that, the scale factor is 1/3.

Then, the answer is B.

Equation 1: m = 6 + n Equation 2: 2m = 8 + 8n Step 1: −2(m) = −2(6 + n) 2m = 8 + 8n Step 2: −2m = −12 − 2n 2m = 8 + 8n Step 3: −12 − 2n = 8 + 8n Step 4: −20 = 10n Step 5: n = −2 In which step did the student first make an error? (4 points) Step 2 Step 3 Step 4 Step 5 4 points Click Save and Submit to save and subm

Answers

In the following steps student made the error in the third step.

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

The error occurred in Step 3.

Step 3 should be:

-2(m) = -2(6 + n)

-2m = -12 - 2n

The mistake was that the student distributed the negative sign only to the 6 and not to the n.

The correct next step is to simplify equation 2:

2m = 8 + 8n

So the student made an error in Step 3.

To know more about Equation check:

brainly.com/question/1529522

#SPJ3

Answer:

step three is the incorrect one making step three the answer

Step-by-step explanation:

On 1st September 2014 there were 5400 trees planted in a wood.On 1st September 2015, only 5184 of these trees were still alive.
It is assumed that the number of trees still alive is given by N = art
where / is the number of trees still alive t years after 1st September 2014.
a) Write down the value

c) Show that on 1st September 2040
the number of trees still alive is predicted
o have decreased by over 65% compared
with September 2014.

b) Show that r = 0.96​

Answers

Answer:

1. a = 5400

2. r = 0.96

3. Percentage decrement = 65.4%

Step-by-step explanation:

Given

N = ar^t

Solving (a): Write down the value of a

a implies the first term

And from the question, we understand that the initial number of trees is 5400.

Hence,

a = 5400

Solving (b): Show that r = 0.96

Using

N = ar^t

When a = 5400, t = 1 i.e. the first year and N = 5184

Substitute these values in the above expression

5184 = 5400 * r¹

5184 = 5400 * r

5184 = 5400r

Solve for r

r = 5184/5400

r = 0.96

Solving (c): Show that the trees has decreased by over 65% in 2040

First, we need to calculate number of years (t) in 2040

t = 2040 - 2014

t = 26

Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left

N = 5400 * 0.96^26

N = 1868.29658019

N = 1868 (approximated)

Next, we calculate the percentage change as thus:

%Change = (Final - Initial)/Initial * 100%

Where the initial number of trees =5400 and final = 1868

%Change = (1868 - 5400)/5400 * 100%

%Change = -3532/5400 * 100%

%Change = -3532%/54

%Change = -65.4%

The negative sign indicates a decrements or reduction.

Hence, percentage decrement = 65.4% and this is over 65%

Lisa takes a taxi uptown and the fair is $12.78 she wants to give the driver 2% tip how much would the tip be

Answers

Step-by-step explanation:

12.78 times 2% or 0.02 = 0.26 Therefore, the tip would be $0.26. the total bill or fair would be $13.04.
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