Help meee I just need two topics done

Help Meee I Just Need Two Topics Done

Answers

Answer 1

x > –5

Solution:

Given expression is –5 < 2x + 5.

Step 1: Let us first switch the sides.

⇒ 2x + 5 > –5

Step 2: Subtract 5 from both side of the inequality.

⇒ 2x + 5 –5 > –5 –5

⇒ 2x > –10

Step 3: Divide by 2 on both sides of the inequality.

[tex]$\Rightarrow\frac{2x}{2} >\frac{-10}{2}[/tex]

⇒ x > –5

Step 4: That is the values of x are greater than –5.

Hence x > –5.


Related Questions

Does anyone know this?

Answers

Answer:

About 51.43 degrees.

Step-by-step explanation:

In order to find the angle measures, you divide 360 by the number of sides your shape has. In this case you divide 360 by 7.

factor 3x^5-7x^4+6x2-14x

Answers

Answer:

x ( 3x − 7 ) ( x ^3 + 2 )

Step-by-step explanation:

In a bag there are 2 red, 3 yellow, 4 green, and 6 blue marbles. What is the probability of P (blue)?

Answers

Answer:

6/15

Step-by-step explanation:

First we are going to need to add the total number of marbles.

2+3+4+6=15

So the denominator will be 15.

It asks us to find the probability of blue marbles so we put how many blue marbles there is inside of the bag.

There are  six blue marbles.

So the probability is 6/15.

Or you could write it 6:15

Or percentage but that's no fun..

Final answer:

The probability of drawing a blue marble from a bag containing 2 red, 3 yellow, 4 green, and 6 blue marbles is 2/5, or 40%.

Explanation:

Calculating the Probability of Choosing Blue Marbles

The question asks about the probability of choosing a blue marble from a bag containing various colored marbles. With 2 red, 3 yellow, 4 green, and 6 blue marbles, the total number of marbles in the bag is 2 + 3 + 4 + 6 = 15. To find the probability of choosing a blue marble (P(blue)), we need to divide the number of blue marbles by the total number of marbles in the bag: P(blue) = Number of blue marbles / Total number of marbles = 6/15.

After simplifying, we get P(blue) = 2/5. Therefore, the probability of drawing a blue marble from the bag is 2/5, which can also be expressed as 0.4 or 40%.

How many triangles can be made with the angle 70°, 70°, and 70°

Answers

Hey there!
Your answer is 0.
All the angles of a triangle must add up to 180 degrees.
However, the sum of these angles is not equal to 180 degrees.
70 + 70 + 70 = 210
210 is not equal to 180.
Hence, no triangles can be made using the angles 70, 70, and 70.
Hope this helps!

What is 5/5 multiplied by nine

Answers

Answer:

9

Step-by-step explanation:

5/5 = 1

1 x 9 = 9

Answer:

9

Step-by-step explanation:

What is the converse of the following statement?
If you study in front of the television, then you do not
score well on exams.
F. If you do not study in front of the television, then you
score well on exams.
G. If you score well on exams, then you do not study in
front of the television.
H. If you do not score well on exams, then you study in
front of the television.
J. If you study in front of the television, then you score
well on exams.

Answers

Final answer:

The converse of the given statement switches the hypothesis and conclusion, leading to 'If you do not score well on exams, then you study in front of the television', which corresponds to option H.

Explanation:

The question asks for the converse of a given statement, which is a key concept in logical reasoning and mathematics. The original statement is If you study in front of the television, then you do not score well on exams. To find the converse, you switch the hypothesis and conclusion of the statement. Therefore, the converse is: If you do not score well on exams, then you study in front of the television. This means the correct answer is option H.

If you don't score well on exams, then you study in front of the television.

To find the converse of a conditional statement, we simply switch the hypothesis and the conclusion.

The original statement is: "If you study in front of the television, then you do not score well on exams."

The converse of this statement would be: "If you do not score well on exams, then you study in front of the television."

So, the correct answer is: "If you do not score well on exams, then you study in front of the television."

Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?

pounds of food collected

0 l 5 6
1 l 0 2 3 3 4
2 l 1 9
3 l
4 l 2
5 l 1

Answers

The appropriate measure of central tendency for the data in the stem and leaf plot, which is skewed to the right is the median

What is the median of a dataset?; The median of a dataset is the value located at the center of the dataset when the data are arranged in increasing order of magnitude.

The data in the stem and leaf plot can be presented as follows;

5, 6, 10, 12, 13, 13, 14, 21, 29, 42, 51

The number of data points are 11, therefore, the median is the 6th term, which is the number 13

The mode of the data is 13

The mean of the data is; (5+6+10+12+13+13+14+21+29+42+51)/11 ≈ 19.64

The mean is larger than the median, which indicates that the data values are skewed to the right

The appropriate measure of the center of the data whereby some of the values are much larger than the median and a few values, hence the data is skewed is the median

For the stem-and-leaf plot of pounds of food collected, the most appropriate measure of center is the median, providing a robust representation of the central tendency of the data.

In the given stem-and-leaf plot depicting the pounds of food collected, the most appropriate measure to describe the center of the data is the median.

The median is the middle value in a dataset when it is ordered from least to greatest. In this case, the stem-and-leaf plot already presents the data in ascending order within each stem. To find the median, we look for the middle value. Since the data is arranged systematically, we can identify the median as the value that separates the lower half from the upper half of the dataset.

Looking at the stems and their corresponding leaves, the median is the value in the middle of the dataset, which is the 3 in the second stem. The median is less sensitive to extreme values or outliers than the mean, making it a robust measure of central tendency.

In contrast, the mean (average) might be influenced by extreme values, the interquartile range focuses on the spread of the middle 50% of the data, and the range considers the difference between the maximum and minimum values.

The question probable may be:

Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?

A stem and leaf plot showing the pounds of food collected is shown.

Stem    Leaf

0           5    6

1            0    2   3   3   4

2            1    9

3

4            2

5            1

interquartile range

median

mean

range

Sabrina is catering a friend's party. A pan of chicken will feed 28 guests and a tray
of Turkey wraps will feed 42 guests. In total, the pans of food must feed at least 428
guests.

Part A: Write an inequality to represent the situation.

Part B: If she prepares 7 pans of chicken, what is the minimum number of trays of turkey wraps she must prepare for the party? Why?

Answers

Answer:

A : 428 ≤ 28x+42y B : 5.5238 trays

Step-by-step explanation:

X stands for # of pans of chicken and y stands for # of pans of wraps. Multiply 28 by 7 pans to get 196. then subtract the total guests by 196 to get 232. then divide that by how many a turkey wrap tray feeds so you get 5.5238

Final answer:

To ensure at least 428 guests are fed, using the given food pan capacities, Sabrina must prepare at least 6 trays of turkey wraps if she already plans on preparing 7 pans of chicken, according to the inequality 28x + 42y ≥ 428.

Explanation:

To solve this problem, we need to approach it in two parts. Let's tackle each part systematically.

Part A: Writing the Inequality

Let's let x represent the number of pans of chicken and y represent the number of trays of turkey wraps. Given that a pan of chicken feeds 28 guests and a tray of turkey wraps feeds 42 guests, and we need to feed at least 428 guests, we can write the following inequality:

28x + 42y ≥ 428

Part B: Finding the Minimum Number of Turkey Wraps Required

Given Sabrina prepares 7 pans of chicken, we need to find the minimum number of turkey wraps required. Substituting x = 7 into our inequality gives us:

28(7) + 42y ≥ 428

Solving for y gives:

196 + 42y ≥ 428

42y ≥ 232

y ≥ 5.5238

Since Sabrina cannot prepare a fraction of a tray, she must prepare at least 6 trays of turkey wraps to meet the minimum requirement, ensuring she has enough food to feed at least 428 guests.

During a day on winter the temperature in the morning was -45°f in the afternoon was -44°f and at night time was -25°f . Find the difference in degrees of the night and moring temperatures

Answers

Answer:

Since it was -45°F in the morning and -25°F in the night, you'd find the absolute value of those numbers.

Absolute value(definition)-

The distance from the zero

So the absolute values would be...

-45 to 45

and

-25 to 25

Then you would subtract 25 from 45, which of course, would result with 20.

20 degrees is your answer.

Have a good day~

Pleaaassseee help me help my son!!! How do I get the sequence for the next 3 numbers 2,4,8,14,...?

Answers

The next three numbers in sequence are 22, 32 and 44

Solution:

Given sequence is:

2, 4, 8, 14, ...

We have to find the next 3 numbers in sequence

Let us understand the logic used in this sequence

[tex]First\ term = 1^2 -1+2 = 1 + 1 = 2\\\\Second\ term = 2^2 -2 + 2 = 4\\\\Third\ term = 3^2 - 3 + 2 = 9 - 1 = 8\\\\Fourth\ term = 4^2 -4 + 2 = 16-2 = 14[/tex]

Thus the formula used is:

[tex]a_n = n^2 - n +2[/tex]

Where, "n" is the location of term in sequence

To find the next three terms:

[tex]Fifth\ term = 5^2 - 5 + 2 = 25 - 3 = 22\\\\Sixth\ term = 6^2 - 6 + 2 = 36 - 4 = 32\\\\Seventh\ term = 7^2 -7 + 2 = 49 - 5 = 44[/tex]

Thus the next three numbers in sequence are 22, 32 and 44

Point D (9, -8) is reflected to D' (9, 8)

Answers

Answer:

Is a reflection across the x-axis

Step-by-step explanation:

The complete question is

Point D (9,-8) is  reflected to D' (9,8). Is it on the x axis or y axis?

we know that

The rule of the reflection of a point across the x-axis is

(x,y)-----> (x,-y)

the x-coordinate remains the same, but the y-coordinate is transformed into its opposite

In this problem we have

D (9, -8) ------> D' (9, 8)

The y-coordinate is transformed into its opposite

therefore

Is a reflection across the x-axis

Which expression is equivalent to 8x + 12y?

Answers

Answer:

4(2x+3y)

Step-by-step explanation:

The Answer is 4(2x+3y)

How do you couculate Pi? So I can continue to find the number by hand. I’m trying to beet my classmates in who can get highest but I don’t know how to find the numbers.

Answers

You can hit the pi button on your calculator or find websites will all the pi numbers.

Natalia Knox tosses a fair die six times. What is the probability that she will toss exactly two 5's?

Answers

Answer:

     [tex]\large\boxed{\large\boxed{1/36}}[/tex]

Explanation:

1. By definition

Probability = # favorable outcomes / # possible outcomes

2. Possible outcomes

The possible outcomes is the sample space. The first toss has 6 possible outcomes and the second toss has other 6 possible outcomes; thus, the sample space has 6 × 6 = 36 different outcomes.

3. Favorable outcomes

Tossing exactly two 5's is just one of the 36 possible outcomes. Thus. the number of favorable otucomes is 1.

4.  Computation

Probability = 1/36

HELP ME ASAP PWEASE
my friend can't figure it out nor can I

Answers

Answer:

The width of the roof is 12

Step-by-step explanation:

Divide the figure as shown in the attachment.

Recall that slope is rise over run.

Then the slope of the roof in terms of x is

[tex] \frac{8}{x} [/tex]

But we were given in the question that the slope is 2/3.

This implies that:

[tex] \frac{8}{x} = \frac{2}{3} [/tex]

Cross multiply to get:

[tex]2x = 3 \times 8[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

Quiz
Active
TIME REMA
59:26
Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a financing
b. a budget
c. investments
d. savings
Please select the best answer from the choices provided

Answers

Answer:

the answer is savings (d).

Step-by-step explanation:

I had a test and this helped a LOT so now I can help you,

hope it helped.

If you are not prepared for an emergency, the most likely missing element from your financial plan is savings.

What do you mean by financial planning?

Setting and accomplishing financial objectives through the process of developing a plan to control income, spending, and investments is known as financial planning. Financial planning is to assist people and families in achieving independence, stability, and security in their financial lives.

In conclusion, financial planning is a thorough process that includes establishing financial objectives, assessing your present financial condition, creating a budget and savings plan, controlling debt and risk, and routinely reviewing and modifying your plan. Individuals and families may attain financial security and stability by following these steps as they work towards their long-term financial objectives.

Given data ,

Savings are most likely the component of your financial plan that is lacking if you are not ready for an emergency.

Each financial plan must include savings since they provide as a safety net in the event of crises like unanticipated medical costs, auto repairs, or job loss. Lack of funds may compel you to rely on high-interest loans or credit cards, which might result in long-term financial issues.

While having funds to cover unexpected costs should be a key concern, a financial plan should also include a budget, investments, and financing.

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How would you solve ((-x^2)-(12x^3)-8)^2

Answers

Answer:

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2:\quad 144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Step-by-step explanation:

Considering the expression

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2[/tex]

Solving the expression

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]\left(-x^2-12x^3-8\right)^2[/tex]

As

[tex]\left(-x^2-12x^3-8\right)^2=\left(-x^2-12x^3-8\right)\left(-x^2-12x^3-8\right)[/tex]

So

[tex]\left(-12x^3-x^2-8\right)\left(-12x^3-x^2-8\right)[/tex]

[tex]\mathrm{Expand}\:\left(-x^2-12x^3-8\right)\left(-x^2-12x^3-8\right):\quad 24x^5+144x^6+192x^3+x^4+16x^2+64[/tex]

i.e.

[tex]\left(-x^2\right)\left(-x^2\right)+\left(-x^2\right)\left(-12x^3\right)+\left(-x^2\right)\left(-8\right)+\left(-12x^3\right)\left(-x^2\right)+\left(-12x^3\right)\left(-12x^3\right)+\left(-12x^3\right)\left(-8\right)+\left(-8\right)\left(-x^2\right)+\left(-8\right)\left(-12x^3\right)+\left(-8\right)\left(-8\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]\left(-a\right)\left(-b\right)=ab[/tex]

[tex]x^2x^2+12x^3x^2+8x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8x^2+8\cdot \:12x^3+8\cdot \:8[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]12x^3x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+8x^2+8x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8x^2+8x^2=16x^2[/tex]

[tex]12x^3x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:12x^3x^2+12x^3x^2=24x^3x^2[/tex]

[tex]24x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:12\cdot \:8x^3+8\cdot \:12x^3=2\cdot \:8\cdot \:12x^3[/tex]

[tex]24x^3x^2+12\cdot \:12x^3x^3+2\cdot \:8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

As

[tex]24x^3x^2=24x^5[/tex]

[tex]12\cdot \:12x^3x^3=144x^6[/tex]

[tex]2\cdot \:8\cdot \:12x^3=192x^3[/tex]

[tex]x^2x^2=x^4[/tex]

[tex]8\cdot \:8=64[/tex]

So

[tex]24x^5+144x^6+192x^3+x^4+16x^2+64[/tex]

[tex]\mathrm{Rewrite\:in\:standard\:form}[/tex]

[tex]144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Therefore,

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2:\quad 144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Keywords: expression

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Solve for a side in right triangles

Answers

Answer:

  2.30

Step-by-step explanation:

The side of interest is opposite the given angle, and the hypotenuse is given. The sine relation tells you ...

  sin(A) = a/c

  a = c·sin(A) = 3·sin(50°)

  a = BC ≈ 2.2981 ≈ 2.30

You make $750 and 24% is taken out for taxes.
How much are the taxes?

Answers

If you have a calculator, you can do the following;

750 x 24 \ 100 which equals $180.
The taxes are 180 because 24% of 750 is 180

1. Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the scale 1 inch:2 feet.
(a) What is the length of the garden in her model? Show your work, including your proportion.
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?

Answers

Answer:

(a) 3 inches

(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches

Step-by-step explanation:

Scaling

We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.  

(a)

Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is

6 feet*1 inch/2 feet = 3 inches

(b)

The width of the model is 5 inches, keeping the same scale it means the real length is

5 inches * 2 feet / 1 inch = 10 feet

The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper

The formula to change F to C is F equal 9/5 C + 32. If the temperature is 21.5 C what is it in F?

Answers

Answer:

F=70.7

Step-by-step explanation:

This is a simple substitution problem.

The formula to change Fahrenheit to Celsius is [tex]F=\frac{9}{5}\left(C\right)+32[/tex].They give you C, so substitute it into the problem, which would give you [tex]F=\frac{9}{5}\left(21.5\right)+32[/tex].Simplify the right side of the equation by multiplying [tex]\frac{9}{5}[/tex] by 21.5.Now, add 32 to 38.7, which should have been your answer to the previous step.You should now have F= 70.7 as your answer.

The resulting temperature in Fahrenheit is 70.7°F.

To convert a temperature from Celsius (°C) to Fahrenheit (°F), you can use the formula:

F = (9/5)C + 32

Given that the temperature is 21.5°C, we can substitute this value into the formula:

Multiply the Celsius temperature by 9: 9 * 21.5 = 193.5

Divide the result by 5: 193.5 / 5 = 38.7

Add 32 to the quotient: 38.7 + 32 = 70.7

Therefore, the temperature in Fahrenheit is 70.7°F.

The price of a television was reduced from $250 to $200. By what percentage was the price of the television reduced? (F 20%) (G 25%) (H 80%) (J 50%)

Answers

the answer is (F 20%)
250 • 0.20 = 50
-
250 - 50 = 200
-
Therefore the answer is F. 20%

A cargo container 9‘ x 12‘ x 7.5‘ is to be given a coat of paint on all surfaces inside and out. If 1 L of paint covers 30 ft.², how many 3 L tins of paint are required.

Answers

Answer: 18

Step-by-step explanation: 9 x 12 x 7.5 = 810

since it is inside out 810 x 2 = 1620

1620 divided by 90 = 18

Hope this helps

20+20+20+20+20+10+5+5

Answers

the answer to this equation is 120

Answer:

120

Step-by-step explanation:

Evaluate the expression: 5 + 3 × (5 - 2) 2

16
32
36
72

Answers

Final answer:

Using the order of operations (PEMDAS), the expression 5 + 3 × (5 - 2) 2 evaluates to 32.

Explanation:

The expression to be evaluated is 5 + 3 × (5 - 2) 2. In mathematics you should always follow the order of operations, often remembered by the acronym PEMDAS which stands for: Parentheses, Exponents (i.e. Powers and Square Roots, etc.), Multiplication and Division, Addition and Subtraction. So in this case you should first evaluate the expression inside the parentheses (5 - 2), which equals 3. Then, 3 is squared to get 9 and is multiplied by 3 to get 27. Finally we add 5 to get a final answer of 32.

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What is 17 equals 5y - 3

Answers

Answer:

4

Step-by-step explanation:

5y-3=17

5y=17+3

5y=20

y=20/5

y=4

Graph ​ g(x)=4cos(2x)−2 ​. Use 3.14 for π .

Answers

Answer:

The graph is shown attached.

Step-by-step explanation:

i) The graph is shown attached

ii) The values shown are for the points with black dots.

A silversmith combined pure silver that cost $33.48 per ounce with 51 oz of a silver alloy that cost $24.35 per ounce. How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Answers

Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = [tex]\frac{33.48}{24.35}[/tex]

At cost $27.87/ounce, pure silver is mixed = [tex]\frac{33.48}{24.35}[/tex][tex]\times 27.87 = \frac{933.08}{24.35} = 38.31[/tex]

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.

If Charles rides 4 miles in 20 minutes on his bike, which ratio shows the number of miles per minute he can ride
A
24:1

B
1:4

C
4:24

D
1:5

Answers

I believe I would be c but I could be wrong

Answer:

D

Step-by-step explanation:

Maria has an 8-sided die that is numbered from 1 to 8. She rolls the die 96 times. About how many times can she expect to roll an 8?

Answers

Answer:

12

Step-by-step explanation:

Final answer:

Maria can expect to roll an 8 around 12 times after rolling her eight-sided die 96 times, as calculated by multiplying the probability of rolling an 8 (⅓) by the number of rolls (96).

Explanation:

The student is asking about the expected number of times a specific outcome will occur when rolling an eight-sided die multiple times. In Maria's case, she is rolling the die 96 times and wants to know how many times she can expect to roll an 8.

To calculate this, we'll use the principle of theoretical probability, which states that the expected frequency for any event is the product of the total number of trials and the probability of the event occurring in a single trial. Since the die is fair and has eight sides, the probability of rolling an 8 on any given throw is ⅓ (or 1 out of 8).

Calculate the probability of rolling an 8: P(8) = ⅓.Multiply this probability by the total number of rolls: Expected frequency = P(8) × 96 throws = ⅓ × 96.Perform the calculation: Expected frequency = 12.

Therefore, Maria can expect to roll an 8 about 12 times in 96 rolls of the die.

Other Questions
What justification was given by Whites to isolate Black men from the community and lynch them? An object is attached to the lower end of a 32-coil spring that is hanging from the ceiling. fie spring stretches by 0.160 m. The spring is then cut into two identical springs of 16 coils each. As the drawing shows, each spring is attached between the ceiling and the object. By how much does each spring stretch According to the Techstars video describing entrepreneurial journeys, and their efforts to support entrepreneurship, what is the final step that happens in an entrepreneurs journey? ________ is concerned with the design and arrangement of machines and furniture to avoid uncomfortable or unsafe experiences. PLEASE HURRY ITS URGENT What was one effect of the War of 1812?A. US economy and nationalistic pride grewB. Britain n burn the city of New York and signed the treaty of ParisC. British ships for sound and British Navy were financially hurt D. France and Germany left the OH River Valley Casey has a collection of 39 amusement park pins. The pins are from an amusement park in Florida and an amusement park in Virginia. There are twice as many pins from the amusement park in Florida. How many pins are from the amusement park in Virginia? What is -3(y+3)=9x in slope-intercept form? A human ova that contains 23 chromosomes joins a human sperm that contains 23 chromosomes, resulting in a zygote that has 47 chromosomes. The process that creates this is called______________ gasoline wholesale distributor has bulk storage tanks holding a fixed supply. The tanks are filled every Monday. Of interest to the wholesaler is the proportion of this supply that is sold during the week. Over many weeks, this proportion has been observed to be modeled fairly well by a beta distribution with alpha = 4 and beta = 2. Find the probability that at least 90% of the stock will be sold in a given week? a. 0.07 b. 0.05 c. 0.09 d. 0.06 e. 0.08 Select the correct usage of in-text citation in APA style. a. American's attitudes toward wilderness, like the wild lands themselves, are constantly changing (Roderick Nash). b. American's attitudes toward wilderness, like the wild lands themselves, are constantly changing (Nash, 2014). c. American's attitudes toward wilderness, like the wild lands themselves, are constantly changing (Nash). d. American's attitudes toward wilderness, like the wild lands themselves, are constantly changing (Nash 2014). How many positive integers $n$ with $n\le 500$ have square roots that can be expressed in the form $a\sqrt{b}$ where $a$ and $b$ are integers with $a\ge 10$? Find the total surface area for the figure to the nearest tenth 65.3 m^2 104.6 m^298.2 m^2 94.4 m^2 11. In 2007, the United States Mintbegan circulating $1 coins with pastPresidents of the United States onthem. New $1 coins for 4 Presidentsare released each year. How manyyears will it take for $1 coins to bereleased for the first 36 Presidents?Write a number sentence to The level of a lake in inches is falling linearly . The lake level is 452 inches on Jan 1 and then 378 inches on Jan 21. Find a function to represent the lake level 100 POINTS!!!1) What is the sum of the linear expressions?3x + 9 and 2x + 42) Add the linear expressions:2n + 6 and 6n - 23) Add the linear expressions. -3x + 9 and 6x - 124) Add the linear expressions: 1/4x + 10 and 1/2x - 75) Find the difference: (3x + 5) - (2x +2)6) Subtract 8 from 107) Subtract 2.5x from 7.8x.8) Subtract (3.4x + 8) from (5.8x + 10)9) Find the difference: (8x + 5) - (2x + 8)10) Evaluate & explain how you arrived at your answer: (-4x -3) - (-4x -3) What are the three reason Gettysburg was a turning point? Pure economic rent is: a. The payment to factors whose supply is perfectly inelastic. b. Economic profits. a payment made to land. c. The payment to factors owned by entrepreneurs. d. The payment to factors whose supply is perfectly elastic. On a test, 74% of the questions are answered correctly. If 111 questions are correct, how many questions are on the test? A rocket is travelling at a speed of 21,000 miles per hour (mph). Use the fact that 1 km is approximately equal to 0.6214 miles to convert this speed to kilmeters per hour (km/h Conflict theorists maintain that in capitalistic societies, where a few people control the labor of many, the social structure reflects a system of relationships of domination among categories of people (for example, owner-worker and employer-employee).a) trueb) false