There are 12 sixth graders, 14 seventh graders,
and 7 eighth graders in a gym class. The gym
teacher randomly selects one student to collect
balls. In how many ways can choosing not a
seventh grader occur?

Answer:

2a^2+ 9ab+ (-7b^2)

Step by Step Explanation

Hope this helps!! Have a great day!!   : )

The simplified expression of [tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex] is [tex]2a^2+ 9ab - 7b^2[/tex].

The expression is given as:

[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex]

Remove brackets

[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 + 4ab - 3b^2 +5ab - 4b^2 - 3a^2[/tex]

Collect like terms

[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 - 3a^2+ 4ab +5ab - 3b^2 - 4b^2[/tex]

Evaluate like terms

[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 2a^2+ 9ab - 7b^2[/tex]

The equation cannot be further simplified.

Hence, the simplified expression is [tex]2a^2+ 9ab - 7b^2[/tex]

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Answer:

What did Maria have for lunch today?

Step-by-step explanation:

For each of the other questions we can collect data

For Maria it is one piece of information

Answer:

Question 3: What did Maria have for lunch today?

Step-by-step explanation:

Statistical questions are to analyse a population based on a sample. Maria is one individual, not a population

The function [tex]\(f(x) = 7 \cdot 2^{-3x}\)[/tex] is a rewritten form using exponent properties.

To rewrite the function [tex]\( f(x) = 7 \left(\frac{1}{2}\right)^{3x} \) using the properties of exponents, we can first rewrite \( \frac{1}{2} \) as \( 2^{-1} \). Then, we can apply the property \( (a^m)^n = a^{mn} \)[/tex] to simplify the expression. Here's how it goes:

[tex]\[ f(x) = 7 \left(\frac{1}{2}\right)^{3x} \][/tex]

[tex]\[ = 7 \left(2^{-1}\right)^{3x} \][/tex]

[tex]\[ = 7 \cdot 2^{-3x} \][/tex]

So, [tex]\( f(x) = 7 \cdot 2^{-3x} \)[/tex] is the rewritten form of the function using the properties of exponents.

Answer:

the answer should be 2

Step-by-step explanation:

the absolute value of something cannot be negative, the eight automatically becomes +8 and the difference between 8 and 6 is 2 (8-6=2)

Answer:

sorry for this just wait im about to slove it

Step-by-step explanation:

found it.it was 23

Answer: 23$

Step-by-step explanation:

If half of Sara's remaining savings was 9$, her remaining savings after buying the book would be 18$. 18$+5$=23$. Good luck and have a nice day!

Answer: the probability the mean weight will exceed 2.1 ounces is 0.09

Step-by-step explanation:

Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 2

σ = 0.3

n = 16

x = 2.1

the probability that the mean weight will exceed 2.1 ounces is expressed as

P(x ≥ 2.1)

For x = 2.1

z = (2.1 - 2)/(0.3/√16) = 1.33

We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be

p = 1 - 0.91 = 0.09

P(x ≥ 2.1) = 0.09

Answer:

To be reasonable means to be as much as is appropriate or fair.  

In math, reasonableness can be defined as checking to verify that the result of the solution or the calculation of the problem is correct or not, be either estimating or by plugging in your result to check it.  

When solving a math problem, we can check if the answer we have derived to is reasonable or not, based on an estimate. A reasonable estimate does not exceed the original numbers in a problem.  

For instance, in a division problem like 424 ÷ 4 − 10, we can check is our answer is reasonable or not, by estimating an approximate answer or by plugin gin using the division formula.  

We can round down 424 to the nearest hundreds, to estimate the answer. Since 96 (actual answer)  ≈ 90 (estimate answer), we know our solution is correct.

We can check our solution by plugging in to verify using, 96 × 4 + 10 as well.

Step-by-step explanation:

When estimating an addition or subtraction problem, you can easily tell if it is reasonable or not. If you're having trouble with a problem, such as 1342+7864, and you're getting an answer of... 1300, but don't think its correct, you can estimate by rounding the numbers and adding them. For example, 1342=1300 and 7864=7900 (I'm using the rule that if the number is 4-0 I round down and if its 5-9 I round up.) Since we're woring with thousands you would try to get the most split, even value you can without taking off too much, so we would round the tens place. And after that you could add 1300+7900=9200. Then you would know your answer of 1300 is not reasonable and you have an error in your equation.  Estimating is a great skill to have, and it really helps when you're just trying an equation out or get one of those "Estimate the sum of" questions.

Hope this helps! I didn't copy it from anywhere, just wrote it myself :) Brainliest would be awesome!

Answer:

The students can be arranged in rows of 18 that is 4 rows of boys and 5 rows of girls

Step-by-step explanation:

1. T1: Translate ABCDE.

2. R1: Rotate the translated polygon.

3. S1: Scale the rotated polygon.

4. F1: Reflect the scaled polygon if needed.

To determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E', you can break down the process into individual steps. Here, I'll describe each transformation step:

1. Translation:

  Translate polygon ABCDE to align its center of mass with the center of mass of polygon A'B'C'D'E'. This ensures that the polygons are roughly in the same position. Let's denote this transformation as "T1."

2. Rotation:

  Rotate the translated polygon so that one of its sides aligns with a side of polygon A'B'C'D'E'. You can use the center of mass as the pivot point for rotation. Denote this transformation as "R1."

3. Scaling:

  Scale the rotated polygon proportionally to match the size of polygon A'B'C'D'E'. This will make sure that the two polygons have the same size. Denote this transformation as "S1."

4. Reflection:

  Reflect the scaled polygon if needed to match the orientation of polygon A'B'C'D'E'. This step may not always be necessary, depending on the orientation of the two polygons. Denote this transformation as "F1" (for reflection).

So, the series of transformations can be written as follows:

1. T1: Translate ABCDE.

2. R1: Rotate the translated polygon.

3. S1: Scale the rotated polygon.

4. F1: Reflect the scaled polygon if needed.

These transformations will map polygon ABCDE onto polygon A'B'C'D'E' while preserving their size and shape.

Learn more about polygon here:

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Answer:

43100 cubic feet

Step-by-step explanation:

Floor 1: 3700 * 8 = 29600

Floor 2: 50 * 30 * 9 = 13600

Total = 29600+13600=43100

The volume of the interior of the house is 29,600 cubic feet.

The volume of the second floor is 13,500 cubic feet.

The total volume of the interior of the house is 43,100 cubic feet.

The formula that can be used to determine the volume of a rectangular prism is : length x width x height

surface area x height

The volume of the interior of the house = 3700 x 8 =  29,600 cubic feet

The volume of the second floor - 50 x 30 x 9 = 13,500 cubic feet.

The total volume of the interior of the house = 29600 + 13500 = 43,100 cubic feet.

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

Answer:

6/2

Step-by-step explanation:

Answer:

An = 6*2^(n-1)

Step-by-step explanation:

Answer:

I CAN'T SEE ANYTHING FROM THAT FAR SORRY BUT I WISH I COULD HELP YOU!!!

Step-by-step explanation:

(again sorry)!

Answer:

1 = 1.3

2 = 2.25

3 = 9/100

4 = 3/4

5 = 31

6 = <

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

7mn³|7m²n³ ---14mn^5

       | m---2n²

LCM=7mn³×m×2n²

=14m²n^5

or LCM of 7,14 =14

Highest power of m=2

Highest power of n=5

LCM=14m²n^5

Answer:

y = [tex]\frac{x^2}{20}[/tex]

The focus of the solar oven's reflector is (0,a)

Step-by-step explanation:

The missing figure( i.e diagram) from the question is attached below:

Now ; given that :

The focus of the sun's rays is at a point L = 5 inches away from the vertex of the reflector. Also the distance of the parabolic curve be a= L = 5

So the equation for a cross section of the oven's reflector with its focus on the

positive y axis and its vertex at the origin is expressed as:

x² = 4 L y

x² = 4 (5) y

x² = 20 y

y = [tex]\frac{x^2}{20}[/tex]

The focus of the solar oven's reflector is (0,a)

Answer:

(0,-7)

Step-by-step explanation:

y-intercepts are when x=0

Answer:

430100 is 10 times much as 43010

Step-by-step explanation:

43010 multiply by 10=430100

Answer:

false

Step-by-step explanation:

on eng 2020

The correct option is " Option 2" i.e., False.

It is given that somebody is trying to download an information without asking a lab instructor.

We have to tell that whether it is a right thing or not ?

What do you mean by moral values ?

Moral values are defined as the guidelines that assist a person in deciding between right and wrong.

It is not a right thing to use any private thing without the permission of the owner.

Hence it is also not okay to download information without asking a lab instructor even if you are using it for your online classes.

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Answer:

Proved

Step-by-step explanation:

Given: EC || AC, DB || AC, ∠A = ∠F

Prove: ΔMDF ∼ ΔNCA

Solution

See diagram attached to the solution to better understand the following workings.

Redrawing ΔMDF or rotating to be facing the same direction.

EC is parallel to AC

DB parallel to AC

Using similar triangle theorem:

If ΔMDF ∼ ΔNCA

Ratio of Corresponding sides would be equal

(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)

DF/ CA = MD/NC = FM/AN

∠A = ∠F

∠M = ∠N

∠D = ∠C

Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.

ΔMDF ∼ ΔNCA

Statement:

1. line EC is perpendicular to line AC, line is perpendicular to DB line AC, ∠A = ∠F

2. ∠F = ∠A

3. ∠1 =∠2

4. ΔMDF ∼ ΔNCA

Reason:

1. Given

2. Given

3. Alternate interior angles are equal

4. AA

Answer: -42+6i

Step-by-step explanation:

1. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

−18−18i+24i−24

2. Collect like terms.

(−18−24)+(−18i+24i)

3. Simplify.

−42+6i

Answer:

E(Bases ) = 0.6584499955929  choice C.

Step-by-step explanation:

We want Expected number of bases during 2009

E(bases) = SUM (number of outcomes) *probabiility of outcome

93 + 45 + 1 + 47   = 176 hits

but there are a total of 568 bats

568 - 176 =   392 misses?

E(Bases) =  0* P( miss) + 1 *  P( hitting singles) + 2*P(hitting doubles) + 3*P(hitting triples) + 4*P(home run)

E(Bases) =  0 + 93/568 +  2* (45/568) + 3*(1/568) + 4*(47/568)

0.16373239  + 0.158450 + 0.0052816901 + 0.33098591549

E(Bases ) = 0.6584499955929

Answer:

C 0.658

Step-by-step explanation:

Answer:

(8,4)

Step-by-step explanation:

The vertex means that the maximum amount of candles that you can sell is exactly 8 to obtain full profit.

The equation would be  f(x) = -X² + 16x - 60

then -(x^2 -16x)-60 which then equals

-(x^2-16x+64-64)-60

then that would equal -(x-8)^2 +64 -60

which would give you the final answer of -(8x)^2 +4

Answer:

(8, 4); The vertex represents the maximum profit.

Step-by-step explanation:

Answer:

$5,674.30

Step-by-step explanation:

Use the Compound Amount formula:

A = P(1 + r/n)^(n*t), where r = APR as a decimal fraction = 0.1499

and n = 12 (compounded monthly).

Then A = $2,000(1 + 0.1499/12) )^(7*12)

             =  $2,000(1 +  0.0125)^84

              = $2,000(1.0125)^84 = $2,000(2.837) = $5,674.30

Final answer:

As the independent variable x grows very large, the quadratic function y = 4x^2 will outpace the linear functions y = 7x, y = 5x, and y = 34, hence it will become the largest and remain so.

Explanation:

The student is asking about the behavior of different linear functions and a quadratic function as the independent variable x becomes very large. When examining the functions given, we notice that three of them, y = 7x, y = 5x and y - 4x are linear, while the fourth, given the context should likely be a quadratic function y = 4x2, although that wasn't presented correctly in the question. As x grows, the function with the highest degree will become the largest. In this case, the quadratic function y = 4x2, which grows at a rate proportional to the square of x, will outpace the linear functions, whose growth is only directly proportional to x. Thus, as x becomes very large, the quadratic function “y = 4x2” becomes the largest and remains so.

Answer:

It should be correct

Step-by-step explanation:

Answer:

37 4/5 miles per hour

Step-by-step explanation:

Take the miles and divide by the time

25 1/5   ÷ 2/3

Change the mixed number to an improper fraction

(5*25 +1)/5 ÷ 2/3

126/5 ÷ 2/3

Copy dot flip

126/5 *3/2

378/10

Changing to mixed number

10 goes into 378 37 times with 8 left over

37 8/10 which simplifies to 37 4/5

37 4/5 miles per hour

Answer:

A = 20972.44

Step by step explanation:

Principal (P) = 19000

Rate = 10% = 0.1

Time = 1 year

N (number of time the interest is compounded) = 4

Compound interest (A) = P(1 + r/n)^nt

A = 19000 * (1 + 0.1 / 4)^4*1

A = 19000 * (1 + 0.025)⁴

A = 19000 * 1.025⁴

A = 19000 * 1.1038

A = 20972.44

The interest at the end of the year is $20972.44