Evaluate the expression ab, for a = 4 and b = 7.

The first term of the arithmetic sequence [tex]a_{1}[/tex] is -9

As per the question statement, we are given an arithmetic sequence whose 12th given term is 13 and common difference is 2. We are supposed to find the first term [tex]a_{1}[/tex].

We know that the [tex]n_{th}[/tex] term in an arithmetic sequence is given by:

[tex]a_{n} = a_{1}+(n-1)d[/tex]

where "n" is the number of terms and "d" is the common difference.

Now in question, [tex]a_{n} =a_{12} =13[/tex]

[tex]d=2[/tex]

[tex]n=12[/tex] and we have to find [tex]a_{1}[/tex]

Substituting values,

[tex]13=a_{1} +(12-1)*2\\13=a_{1} +11*2\\13=a_{1}+22\\a_{1} = -9[/tex]

Hence [tex]a_{1} = -9[/tex]

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Answer:The answer is a.

Step-by-step explanation:I hope this helps.

The value of the composite function (f o g)(3) is 1603

The functions are given as

f(x) = 3x² - 7x - 3

g(x) = -4x - 10

Next, calculate (f o g)(x) using

(f o g)(x) = f(g(x))

So, we have

(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3

Substitute 3 for x.

So, we have

(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3

Evaluate

(f o g)(3) = 1603

Hence, the value of the composite function (f o g)(3) is 1603

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The solution to the given Inequality i.e. -2(8x-4) < 2x + 5 is x>[tex]\frac{1}{6}[/tex]

Inequality:

Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Equations can be used to address Inequality problems when they are stated as questions or as declarations of fact in the form of theorems.

Given that a Inequality  i.e. -2(8x-4) < 2x + 5  and asked to find the solution of the given Inequality.

⇒  -2(8x-4) < 2x + 5

⇒ -16x+8 < 2x+5

⇒3< 18x

⇒x>[tex]\frac{1}{6}[/tex]

Therefore,The solution to the given inequality i.e. -2(8x-4) < 2x + 5 is x>[tex]\frac{1}{6}[/tex]

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Answer:

Step-by-step explanation:

a=213

l=912

let cardinal number=n

let c.d.=d

d=214-213=1

l=a+(n-1)d

912=213+(n-1)1

912=213+n-1

912-212=n

n=700

cardinal number=700

Fission of 1 kg of element B releases 26 times as much energy as burning 1 kilogram of element A.

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Next, we would determine the ratio of the energy released by elements A and B:

EB : EA = EB/EA

Ratio = 1.3 × 10¹⁰/5.1 × 10⁸

Ratio = 25.49 ≈ 26.0

Therefore, fission of 1 kg of element B releases 26 times as much energy as burning 1 kilogram of element A.

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Complete Question:

Use the table to the right to answer the following question.

Compare the energy released by fission of 1 kilogram of element B to that released by burning 1 kilogram of element A.

Energy released by burning 1 kilogram of element A is 5.1 × 10⁸

Energy released by fission of hydrogen in 1 kilogram of element B is 1.3 × 10¹⁰

Fission of 1 kg of element B releases ____ times as much energy as burning 1 kilogram of element A. ​(Round to the nearest whole number as​ needed.)

The price per quart is 0.40 dollars

Given that A 3-gallon bottle of bleach costs $19.56 and asked to find out the price per quart.

There are 16 quarts for a gallon

For a 3-gallon bottle, price is 19.56 dollars

For a one-gallon bottle, the price is [tex]\frac{19.56}{3}[/tex] dollars.

⇒The price of the one-gallon bottle is 6.52 dollars.

The price of 16 quarts is 6.52 dollars.

The price of one quart is [tex]\frac{6.52}{16}[/tex]

The price of one quart is 0.40 dollars.

Therefore,the price of the one quart is 0.40  dollars.

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Answer:

Step-by-step explanation:

Given 900 tickets for sale and restrictions on the numbers of reserved and general admission seats, you want a system of inequalities that models the possible sales. You also want a graph of the feasible region.

The variables are defined as ...

The limits give rise to these inequalities:

  x ≤ 600 . . . . . no more than 600 reserved seats can be sold

  y ≥ 200 . . . . . at least 200 general admission tickets will be sold

  x + y ≤ 900 . . . . at most, 900 tickets can be sold

These inequalities can be graphed simply by giving them as input to a graphing calculator. The result is attached. The feasible region is that area of the graph where the three solution spaces overlap. Here, it is outlined in black.

The mathematical form of perimeter and area formulas allows us to find obtain the same values from triangles not congruent to each other due to commutative property for addition and multiplication.

The perimeter is equal to the sum of the lengths of the three sides of the triangle and the Heron's formula allows us to calculate the areas in term of the three side lengths:

A = √[s · (s - a) · (s - b) · (s - c)]

s = 0.5 · (a + b + c)

Where:

The mathematical form of perimeter and area formulas allows us to find obtain the same values from triangles not congruent to each other due to commutative property for addition and multiplication.

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The answer for this given question is 8 blocks

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

basic rules of algebra

• Commutative Rule of Addition.

• Commutative Rule of Multiplication.

• Associative Rule of Addition.

• Associative Rule of Multiplication.

• Distributive Rule of Multiplication.

15*4= 60, meaning a full hour.

15 minutes = 2 blocks

15 minutes = 2 blocks

15 minutes = 2 blocks

15 minutes = 2 blocks

add them all up and we get that in 60 minutes (an hour) Beth walked 8 blocks.

Hence, Beth walked 8 blocks in 60 minutes of time.

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The expression which has a negative value according to the number line drawn in the task content where points P and S are as given is; Choice D; P + 1.

It follows from the task content that the expression which has a negative value among the given answer choices is to be identified.

As evident in the number line, the number S is greater than 1, and hence, is a positive number.

Also, the number P is less than -1 and hence, is a negative number.

Since, the task content requires that the expression with negative value be identified, it follows that the required expression is; Choice D.

This follows from the fact that, hypothetically, the value of P is -1.8, hence; P + 1 = -1.8 + 1

= -0.8

Ultimately, The expression which has a negative value according to the number line drawn in the task content where points P and S are as given is; Choice D; P + 1.

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Answer:

5/9

Step-by-step explanation:

When you divide 5 by 9, you will get 0.5 repeating. I know the answer because I had this question on Acellus.

Answer: exact form: √89   decimal form: 9.43398113…

Step-by-step explanation:

the distance between (-3,4) and (2,-4) is

exact form: √89   decimal form: 9.43398113…

Answer:

B. 3.96

Step-by-step explanation:

use a calculator to solve the answer unless it's a sentence

Answer:

Jack and Jill look at all their savings, Jack has £34,508 and Jill has £8,529. How much more does Jack have than Jill?

Step-by-step explanation:

34,508 - 8529 = 25979

Answer:

lay lay and jay went to the store and bout some candy they had 34,508 dollers and spent 8,529 dollers how much money do they have left

Step-by-step explanation:

hey did i help pls mark brainliest

Answer:

24cm

Step-by-step explanation:

24÷2=12

1/2×b×h=1/2×12×10

=60cm

60-24=36

36-12=24cm

AustralianFish=24cm

Red and green lines are Parallel lines. and black line is perpendicular to the blue line.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

In the given figure, we have a set of lines which are parallel and perpendicular to each others.

We know that Parallel lines are lies in the same plane which when extended do not meet and are always same distance apart from each other.

The Perpendicular lines are two non-vertical lines in the same plane that intersect at right angles.

From the figure given,

Red and green lines are Parallel lines. and black line is perpendicular to the blue line.

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Answer:

30x <= 240

Step-by-step explanation:

Answer:

its 5 good luck

Step-by-step explanation:

Answer:

40 - 35 = 5 dollars more

Jennie median = 40

Markos median = 35

Subtract and it equals = 5

Hope this helps with your question :)

the order of golfers from 1st to 5 th is Trevor, Heather, Wanda, Jackie and Alphonso.

we are given that:

at the end of amini golf match,

Heather was 2 over par

So, Heather = 2

Alphonso was 3 under par

Alphonso = - 3

Jackie was par

Jackie = 0

Wanda was I under pa

Wanda = 1

Trevor was 4 over par.

Trevor = 4

Now arranging the integers from 1st to 5th place,

Trevor = 4 is 1st

Heather = 2 is 2 nd

Wanda = 1 is 3rd

Jackie = 0 is 4th

and Alphonso = - 3 is 5th

Therefore, the order of golfers from 1st to 5 th is Trevor, Heather, Wanda, Jackie and Alphonso.

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Answer:

Step-by-step explanation:

2x

Answer:

t > 94.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(Left hand side) 5 + 1 = 6

(Right hand side) 5 + 1 = 6

Answer:

x= -0.9

Step-by-step explanation:

Assuming you did a typo by saying 7 to the power of x that's also to the power of 2.

This is the answer for 7x^2 = 7x^3+10

Answer:

first choice on the left.

Step-by-step explanation:

Comment

That is not the easiest graph I've seen to interpret. What it shows is that each cup of juice is 3/4 of a cup.

The graph says she has 4 cups that she can give out. She has 1/4 cup left over which is why it is marked.

Technically the answer is 4 cups with 1/4 cup left over, so the answer should be A.

The number of significant digits is 4

Quotient can be defined as the number that results from the division of a number by another number.

Example;

The quotient of 4 and 2 is expressed as;

= 4/ 2

= 2

From the information given, we have the numbers as;

To determine the quotient, we have;

= 2.058 × 10^9/ 3.0571 × 10^−4

= 6. 731 × 10^12

The number of significant digits is 4

Thus, the number of significant digits is 4

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Given;

U = {1,2,3,4,5,6,7,8,9},

A = {1,2,3,4,5,6},

B = {2,4,5,6},

C = {1,6,7}.

To find;

A∩B, A∪C, (AUB)∩(A∪C), A'∩B', (A∩C)', A∪C, A∩(B∪C), A', A'∪B', A-B, A∪B, A∪(B∪C), B', (AUB)', B-C

A∩B = {2,4,5,6,}

A∪C = {1,2,3,4,5,6,7}

(AUB)∩(A∪C) = {1,2,3,4,5,6}

A'∩B' ={7,8,9}

(A∩C)' =  {2,3,4,5,7,8,9}

A∪C = {1,2,3,4,5,6,7}

A∩(B∪C) = {1,2,4,5,6}

A' = {7,8,9}

A'∪B' = {1,3,7,8,9}

A-B = {2,4,5,6}

A∪B = {1,2,3,4,5,6}

A∪(B∪C) = {1,2,3,4,5,6,7}

B' = {1,3,7,8,9}

(AUB)' = {7,8,9}

B-C = {6}

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On simplifying the equation this show that the ratio are equal:

4/5 = 4/5 = 4/5 .

To obtain the comparative ratio, find the LCM of both the consequents of both ratios, divide the LCM with both the consequents and then multiply the numerator and denominator of both ratios with the answer.

The ratio is a relationship between the amounts of two or more things that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for just about any two quantities, say a and b.

4/5, 8/10, and 12/15

dividing the ration to simplify it:

4/5, 8/10, and 12/15

8/10 = 4/5 on dividing by 2

12/15 = 4/5 on dividing by 3

So,

On simplifying the equation this show that the ratio are equal:

4/5, 8/10, and 12/15

4/5 = 4/5 = 4/5 .

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100 kg = 100000 g

∴ bags needed = [tex]\frac{100000}{250}[/tex] = 400