Another day, another math problem 2

Another Day, Another Math Problem 2

Answers

Answer 1

Answer:

-7

Step-by-step explanation:

you can use power rule of derivatives for that.


Related Questions

Pam asks you to help with the catering for the funeral. You decide to use juice concentrate to serve as a refreshing drink. To create this delicious drink, you must dilute the concentrate in the ratio 1:4. You have 2 litres of concentrate. What is the volume of water needed?​

Answers

Answer is 8 liters
Reason
1 to 4 is the same as 2 to 8
So 2 concentrate to 8 water

On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflection point at (0, 0), and goes through (3, 1.5). Function g (x) is 2 units to the left of f (x) and has an inflection point at (negative 2, 0).
The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?

g(x) = RootIndex 3 StartRoot x minus 2 EndRoot
g(x) = RootIndex 3 StartRoot x + 2 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1
g(x) = RootIndex 3 StartRoot x EndRoot–1

Answers

Using translation concepts, it is found that the equation that represents the graph of g(x) is:

[tex]g(x) = \sqrt[3]{x + 2}[/tex].

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:

[tex]f(x) = \sqrt[3]{x}[/tex][tex]g(x) = f(x + 2) = \sqrt[3]{x + 2}[/tex]

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Answer:

The answer is B. On EDGE.2022

Step-by-step explanation:

Just did it

1/5 (10x+30)-14= - 1/3 (6x-18)

Answers

Answer:

x = 7/2

Step-by-step explanation:

1/5 (10x+30)-14= - 1/3 (6x-18)

10x + 30/5 - 14 = -6x + 18/3

(2*5)x+2*3*5/5-14 = -(2*3)x-2*3^2/3

x = 7/2


The function y = f(a) is graphed below. What is the average rate of change of the
function f(a) on the interval -8 < < 8?

Answers

Answer: -35/16

Step-by-step explanation:

[tex]f(8)=-5\\\\f(-8)=30\\\\\frac{f(8)-f(-8)}{8-(-8)}=\frac{-5-30}{16}=\boxed{-\frac{35}{16}}[/tex]

What is an undefined term in geometry?
OA. A sentence that asserts a fact
OB. A term that has no formal definition, but is used to define other
terms
OC. A clause preceded by "if" in a conditional statement
OD. A statement in which the hypothesis and conclusion are switched

Answers

An undefined term in geometry is (b) A term that has no formal definition, but is used to define other terms

How to define the term?

In geometry, there are four undefined terms.

These terms are:

PointLinePlaneSet.

The above items do not have a specific or formal definition. However, they are used to define other terms in geometry

This is the reason they are referred to as undefined terms.

Hence, an undefined term in geometry is (b)

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Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.

2(x2 + 6x + 9) = 3 + 18
2(x2 + 6x) = –3
2(x2 + 6x) = 3
x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot
2(x2 + 6x + 9) = –3 + 9

Answers

The correct answers are option 1, Option 3 and option 4 which are:-

2(x² + 6x + 9) = 3 + 18

2(x² + 6x) = 3

x+3 = ±√21/√2

What is a quadratic equation?

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

We will check all three options one by one:-

2(x² + 6x + 9) = 3 + 18

2x² +  12x + 18 = 3 + 18

2x² + 12x -3 = 0

We are getting the original equation so it is correct.

2(x² + 6x) = 3

2x² + 12x = 3

2x² + 12x - 3 = 0

This is also right.

x+3 = ±√21/√2

Squaring on both the sides:-

( x + 3 )² = 21 / 2

x² + 6x + 9 = 21 / 2

2x² + 12x + 18 = 21

2x² + 12x = 21 - 18

2x² + 12x -3 = 0

This is also right

Therefore the correct answers are option 1, Option 3 and option 4 which are:-

2(x² + 6x + 9) = 3 + 18

2(x² + 6x) = 3

x+3 = ±√21/√2

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Answer:

A, C, D

A: 2(x2 + 6x + 9) = 3 + 18

C: 2(x2 + 6x) = 3

D: x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot

Step-by-step explanation:

Got 100% on quiz

Which table correctly shows all the sample spaces for tossing a coin to get heads and rolling a number on a six-sided number cube?

Answers

Using it's concept, the sample space for the experiment is given as follows:

{(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}

What is the sample space of an experiment?

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

For the coin, there are 2 outcomes, H for heads and T for tails.For the number, there are 6 outcomes, which are the 6 numbers.

Hence the sample space is given as follows:
{(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}

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Here are the first five numbers in a sequence.
47 41
(a) Find the first negative number in the sequence.
35
29
23

Answers

Answer:

- 1

Step-by-step explanation:

note there is a common difference of 6 between consecutive terms , that is

23 - 29 = 29 - 35 = 35 - 41 = 41 - 47 = - 6

by subtracting 6 from the previous term we get

23 - 6 = 17

17 - 6 = 11

11 - 6 = 5

5 - 6 = - 1

the first negative number in the sequence is - 1


Given the following equation of a circle in general form, find the equation in standard form by completing the square.
4x² + 8x + 4y² + 32y +52 = 0
Provide your answer below:

Answers

The standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have an equation that represents the circle:

4x² + 8x + 4y² + 32y +52 = 0

Divide by 4 on both the sides:

x² + 2x + y² + 8y + 13 = 0

x² + 2x + 1 - 1 + y² + 8y + 4² - 4² + 13 = 0

x² + 2x + 1 + y² + 8y + 4² - 1 - 16 + 13

(x + 1)² + (y + 4)² = 4

(x + 1)² + (y + 4)² = 2²

Thus, the standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

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A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.77 hours. Assume that a random sample of 40 mechanics is selected and the mean rebuild time of the sample is computed. Assuming the rebuilding times are normally distributed, what percentage of sample means is greater than 8.8 hours? Express your answer as a percent rounded to hundredths of a percent.

Answers

Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The parameters are given as follows:

[tex]\mu = 8.4, \sigma = 1.77, n = 40, s = \frac{1.77}{\sqrt{40}} = 0.2799[/tex]

The proportion of sample means greater than 8.8 hours is one subtracted by the p-value of Z when X = 8.8, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8.8 - 8.4}{0.2799}[/tex]

Z = 1.43

Z = 1.43 has a p-value of 0.9236.

1 - 0.9236 = 0.0764.

7.64% of of sample means are greater than 8.8 hours.

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A bag contains Red, Green or Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.4 and the probability that it is Green is 0.375.What is the possible number of balls in the bag?

Answers

Answer:

1000 balls

(there are infinitely many solutions to this question; you can scale up 1000, use a different total, etc.)

Step-by-step explanation:

there are, of course, multiple possible numbers,

but the easiest way is to go with 1000, because we can say 375 / 1000 and 400 / 1000

(0.4 + 0.275 + 0.225 = 1)

400 out of 1000 balls are red (400/1000 = 4/10 = 0.4)

375 out of 1000 balls are green (375/1000 = 3.75/10 = 0.375)

225 out of 1000 balls are yellow (225/1000 = 2.25/10 = 0.225)

the question never gave detail as to if the answer should be the lowest number of possible balls, so this value is possible.

So, a possible number of balls in this bag is 1000.

In the standard Normal distribution, 43% of observations lie below which z-score?

Find the z-table here.

–1.08
–0.18
0.18
1.08

Picture posted below

Answers

The answer is -0.18

when you convert 43% to decimal, it is 0.43

And the z-score of 0.43 is closest to -0.18

Hope it helps!

S
Which triangle is similar to ABC if sin(A) = cos(A)=√15, and tan(A)=√1
R
5
12
13
T
D
3
12
f
3√15
O
2
K
√15
Σ.
M
O
3
L√6 N
X
6√15
N
O
24
6

Answers

Answer: Option 4

Step-by-step explanation:

Similar triangles have congruent angles, so this means that the sines, cosines, and tangents should be the same.

Thus, the side lengths of the triangle we want to find should be multiples of  [tex]1, \sqrt{15}, 4[/tex].

This eliminates options (1) and (3).

Between options 2 and 4, we know that the Pythagorean theorem is not satisfied by option (2), thus we should eliminate it.

This leaves us with option (4)

From Khan Academy Pre Algebra

Please Evaluate This Question:

Answers

answer is this in decimal form if this is what ur looking for 4.21900462…

hope it helps....

Answer:

17.8

Step-by-step explanation:

Mr. Harry had 4 daughters, each daughter had a brother. How many Children does Mr. Harry have? ​

Answers

Answer:

Mr. Harry has 5 children.... I know what you were going for...

Need help with this! Brainliest to who answers.

Answers

Answer: K

Step-by-step explanation:

The subtraction with the negatives can cancel out, resulting in a possible positive answer.

Answer:

k

Step-by-step explanation:

K      you CAN get a positive number....

        example  :

     -3   - (-5)   = -3 + 5 = + 2

If x=0,what is the value of (8x)^0​

Answers

[tex] {8x}^{0} \\( {8 \times 0})^{0} \\ {0}^{0} \\ it \: is \: undefined[/tex]

PLEASE GIVE BRAINLIEST

I need help with number 10 and I'm not sure if a or b is correct either.

Answers

Answer:

:)

Step-by-step explanation:

You don't need help. You got all the answers correct.  :))))) Nice!

To find the possible roots of the polynomial 4x3 + x4 – 7x2 – 8x - 8
divide factors of ± __ by factors of ± __ .

Answers

The complete statement is divide factors of ± 8 by factors of ± 1

How to complete the statement?

The polynomial is given as:

4x^3 + x^4 - 7x^2 - 8x - 8

Rewrite properly as:

x^4 + 4x^3 - 7x^2 - 8x - 8

The first term in the above equation is 1 i.e. 1x^4, while the last term is 8

To determine the possible rational roots, we divide the factors of the last term i.e. 8 by the factors of the first term i.e. 1

Hence, the complete statement is divide factors of ± 8 by factors of ± 1

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What is the coefficient in this expression?
2/5
O
2/5
Op
05
02

Answers

Answer:

2/5 is the coefficient.

Coefficient generally refers to the numerical value in an expression.

And the expression here is 2/5.

So, 2/5 makes up the coefficient.

The answer is 0.4 that is correct

help me please ! due soon!

Answers

Answer:

Step-by-step explanation:

Comment

An x intercept occurs when y = 0. So the table shows three of them.

Answer

There are 3 x values when y = 0. They are

x = - 1x = 2x = 3

Answer: A. [tex](-1, 0)[/tex]

Step-by-step explanation:

The x-intercept is every point where y=0. To see this, we should look at the table's f(x) section to find any zeroes.

According to the table and this knowledge, one x-intercept of this continuous function is [tex](-1, 0)[/tex].

I hope this helps! Pls mark brainliest!! :)

The function g is related to one of the parent functions g(x) = |x − 1| + 5
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.

Answers

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The function g is related to one of the parent functions g(x) = |x − 1| + 5.

Then the parent function f(x) will be

f(x) = |x|

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).

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Which graph represents y=12+2x

Answers

im pretty sure this is.

The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below.

Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams

Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation

1.5 s

2.4 s

What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65

Answers

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

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maximum value of P+4x+5y+21 given the following: y-x<1, 21x+7y<25, x>-2, y>-4

Answers

The maximum value of the objective function is 31.787

How to maximize the function?

The given parameters are:

Objective function:

Max P = 4x + 5y + 21

Subject to:

y- x < 1

21x + 7y < 25

x>-2,  y>-4

Rewrite the inequalities as equation

y - x = 1

21x + 7y =  25

Add x to both sides in y - x = 1

y = x + 1

Substitute y = x + 1 in 21x + 7y =  25

21x + 7x + 7 =  25

Evaluate the like terms

28x = 18

Divide both sides by 28

x = 0.643

Substitute x = 0.643 in y = x + 1

y = 0.643 + 1

y = 1.643

So, we have:

Max P = 4x + 5y + 21

This gives

P = 4 * 0.643 + 5* 1.643 + 21

Evaluate

P = 31.787

Hence, the maximum value of the objective function is 31.787

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Find the slope of the line passing through the points (3,-9) and (2, -3).

Answers

Answer:

The slope of the line passing through is -6.

A florist is making blue and white flower arrangements for the arrangements he places a red ribbon on every third Arrangement and a blue ribbon on every fifth Arrangement which Arrangement will be the first to have a red and blue ribbon

Answers

The Arrangement that will be the first to have a red and blue ribbon is the 15th arrangement.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Given the florist places a red ribbon on every third Arrangement and a blue ribbon on every fifth Arrangement. Therefore, to find the arrangement that will have both a red and a blue ribbon, you need to take the LCM of 3 and 5.

Since the LCM is 15, therefore, the Arrangement that will be the first to have a red and blue ribbon is the 15th arrangement.

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Solve x2 − 3x = −8. (2 points)


x equals quantity of 3 plus or minus I square root of 29 all over 2
x equals quantity of 3 plus or minus I square root of 23 all over 2
x equals quantity of negative 3 plus or minus I square root of 29 all over 2
x equals quantity of negative 3 plus or minus I square root of 23 all over 2


x equals negative 2 plus or minus 4 I square root of 2
x equals negative 2 plus or minus 2 I square root of 2
x equals negative 1 plus or minus 4 I square root of 2
x equals negative 1 plus or minus 2 I square root of 2

Answers

The value of x equals quantity of (3 ± √23)/2.

What is Quadratic Equations?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given equation;

  x² - 3x = -8

    x² - 3x + 8 = 0

 x² - 2 X 3/2 x + 8 = 0

 x² - 2.3/2 x + (3/2)² - (3/2)² + 8 = 0

 (x - 3/2)² - 9/4 + 8 = 0

 (x - 3/2)² + 23/4 = 0

  (x - 1.5)² = -5.75

  x - 1.5 = ±√(-5.75)

 x = 1.5 ± i√(5.75)

  x = (3 ± i√21)/2

Thus, x equals quantity of 3 plus or minus I square root of 23 all over 2.

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Help me and i'll help you earn more points if the question is right

Answers

-21x^3 - 8x^3 = -29x^3
-7/4x^(1/2) - 0 = -7/4x^(1/2)
-6x^(1/4)
-12x^(-1/2)
12x^(-1/4)
14x^4

Therefore, the correct option is the 2nd one.

On Monday, the water was shut off 3 times for ¼ hours, 2/3 hours, and 1-3/4 hours, respectively. What was the total number of hours the water was off?

Answers

Answer:

2-2/3 hours

Step-by-step explanation:

1/4 + 2/3 + 1-3/4 = 1/4 + 2/3 + 7/4. Use common is 12, so we get 3+8+21/12 = 32/12. Simplify equal 8/3 or 2-2/3 hours!

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