when f(x)=-3, what is x
​

Answer: C Its a non-perfect Square.

The percentage of water in the milk cup and the percentage of milk in the water cup are same.

What is milk?

A white liquid meal called milk is generated by mammals' mammary glands. Before they can digest solid food, it is the main source of nutrition for young mammals. Milk immunity is influenced by immune components and immune-modulating elements.

Given:

There are a cup of milk and a cup of water.

Take one teaspoon of milk, put into the water cup; mix well.

Take one teaspoon of the mixture in the water cup and put into the milk cup then mix well.

Suppose the percentage of water cup are 'p' and the percentage of milk cup are 'q'.

When we add one teaspoon of milk and put into water cup then the percentage of water cup are 'p + 1'.

And the percentage of milk cup are 'q - 1'.

Again one teaspoon of mixture in the water cup put into the milk cup.

So, the percentage of milk cup are, q - 1 + 1 = q.

And the percentage of water cup are p + 1 - 1 = p.

The percentage will be same for both milk cup and water cup.

Hence, the percentage of water in the milk cup and the percentage of milk in the water cup are same.

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The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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The range of x values between which a zero can be found is -9/4 < x < -4.

Since x + 4 and 4x + 9 are linear factors of the quadratic expression, the quadratic expression can be written as:

Q(x) = k(x + 4)(4x + 9)

where k is some constant.

To find the values of x for which Q(x) = 0, we can set each factor equal to zero and solve for x:

x + 4 = 0 --> x = -4

4x + 9 = 0 --> x = -9/4

Therefore, the zeros of Q(x) are x = -4 and x = -9/4.

To find the range of x values between which a zero can be found, we need to determine the sign of Q(x) in each of the three intervals:

1. x < -9/4

2. -9/4 < x < -4

3. x > -4

For x < -9/4, both x + 4 and 4x + 9 are negative, so Q(x) = k(negative)(negative) = k(positive), which is positive.

For x > -4, both x + 4 and 4x + 9 are positive, so Q(x) = k(positive)(positive) = k(positive), which is also positive.

For -9/4 < x < -4, x + 4 is positive and 4x + 9 is negative, so Q(x) = k(positive)(negative) = k(negative), which is negative.

Therefore, the range of x values between which a zero can be found is -9/4 < x < -4.

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Answer:

U' (5, 1 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

U (5, - 1 ) → U' (5, - (- 1) ) → U' (5, 1 )

SOLUTION

Therefore,

Hence, the answer is 840 arrangements.

The completed table for the amount of water in the tank at the given time given a constant flow rate of 1.6 is given below :

From the table given :

0.8 gallons of water flowed into the tank in 0.5 minutes ;

Since the flow rate is constant ; we can relate the amount of water, w, flowing into the tank at time, t as thus ;

w α t

w = kt ; where, k = constant of proportionality ;

We can obtain the value of k when w = 0.8 and t = 0.5

Therefore,

0.8 = 0.5k

Divide both sides by 0.5

(0.8÷0.5) = k

k = 1.6

Hence the flow rate of water into the tank is 1.6 ; the equation can be then be written thus ;

w = 1.6t

Let's find ;

w, when t = 1

w = 1.6(1)

w = 1.6

w, when t = 3

w = 1.6(3)

w = 4.8

4.8t, when w = 40

40 = 1.6t

Divide both sides by 1.6

(40 ÷ 1.6) = t

t = 25

Therefore, the constant of proportionality, k is 1.6

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The outward flux of the given vector field F across the boundary surface of the solid region E is found to be 80π/3.

To apply the divergence theorem, we first need to find the divergence of the vector field F

div F = ∂/∂x (sin(9y) + 7xz) + ∂/∂y (zy + cos(x)) + ∂/∂z (z² + y²)

= 7x + z + 2z

= 7x + 3z

Next, we need to find the surface area and normal vector of the boundary surface dE. The boundary surface consists of the flat disk x² + y² ≤ 4 with z = 0. The surface area of the disk is A = πr² = 4π, where r = 2 is the radius of the disk. The normal vector points in the positive z direction, so we can take n = (0, 0, 1).

Now we can apply the divergence theorem

∫∫F · dS = ∭div F dV

where the triple integral is taken over the solid region E. Since E is symmetric about the xy-plane, we can write the triple integral as:

∭E (7x + 3z) dV = 2π ∫₀² \(\int\limits^0_{(\sqrt{(4-x^2)}\)  \(\int\limits^0_{(\sqrt{(4-x^2-y^2)}\) (7x + 3z) dz dy dx

Evaluating this integral using standard techniques (such as cylindrical coordinates) gives

∫∫F · dS = 80π/3

Therefore, the flux of the vector field F across the boundary surface dE is 80π/3.

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Answer:

See explanation below.

Step-by-step explanation:

So we will have to somehow show that \(\sqrt[x]{b^{m}}\) equals \((\sqrt[x]{b})^{m}\) by using \(b^{\frac{m}{n}}\).

\(\sqrt[x]{b^{m}}=(b^{m})^{\frac{1}{x}}=b^{m*\frac{1}{x}}=b^{\frac{m}{x}}\)

\((\sqrt[x]{b})^{m}=(b^{\frac{1}{x}})^{m}=b^{m*\frac{1}{x}}=b^{\frac{m}{x}}\)

So we have shown that:

\(\sqrt[x]{b^{m}}=b^{\frac{m}{x}}\)

and

\((\sqrt[x]{b})^{m}=b^{\frac{m}{x}}\)

So by the transitive property of equality:

\(\sqrt[x]{b^{m}}=(\sqrt[x]{b})^{m}\)

I hope you find my answer and explanation to be helpful. Happy studying. :D

Rate per potato:-

Now total potatoes :-

Answer:

11 potatoes

Step-by-step explanation:

We are told that 15 potatoes cost $12.75

To find the rate of potatoes per dollar, divide the number of potatoes by the cost:

⇒ rate = 15 ÷ $12.75 = 20/17 potatoes per dollar

To find the amount of potatoes we could buy for $10, simply multiply the rate by 10:

⇒ number of potatoes for $10 = 20/17 × 10 = 11.76470588...

As we cannot buy part of a potato, we need to round down to the nearest whole number.  Therefore, the solution is 11 potatoes.

Answer:

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Step-by-step explanation:

2(x + 8)²+ 9 = 29

Subtract 9 from both sides

2(x + 8)² = 20

Divide both sides by 2

(x + 8)² = 10

Take the square root of both sides

x + 8 = ±√10

Subtract 8 from both sides

x = -8 ± √10

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Answer:

Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle. The inscribed angle's arc measures 36%, and the central angle's arc measure 72%

Answer:

75

%Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle.

50

Step-by-step solution:

    0.3x-42=0.1x-32

    -0.1x

    0.2x-42=-32

                   +42

      0.2x=10

               0.2                

        x=50

The student's claim is valid as the app is providing an incorrect answer to the equation 2+2.

The answer to the equation 2+2 is 4, not 5. Therefore, if the app is giving the answer as 5, then it is incorrect. It is important to ensure that mathematical apps or calculators are accurate as incorrect answers can lead to incorrect conclusions or decisions. The student should bring this to the attention of the app developers so that the error can be corrected. It is always important to double-check answers to mathematical problems to ensure their accuracy.

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--The complete question is, A student claims that a math app is incorrect. The app gives the answer to the equation 2+2 as 5. Is the student's claim valid?--

Answer:

\(y=8x-25\)

Step-by-step explanation:

Given the coordinates:

(3,−1) and (4,7)

To find:

The equation of line passing through the given points.

Solution:

Let us have a look at the slope intercept form of a line:

\(y=mx+c\)

c is the y intercept.

Where \(m\) is the slope of the line passing through the points \((x_1,y_1),(x_2,y_2)\)

Formula for slope is:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(x_1 = 3\\y_1 = -1\\x_2 = 4\\y_2 = 7\)

\(m=\dfrac{7-(-1)}{4-3}\\\Rightarrow m = 8\)

So, equation of line becomes:

\(y=8x+c\)

Let us put (4, 7) to find the value of c:

\(7=8\times 4 +c\\\Rightarrow c = -25\)

So, the equation is:

\(y=8x-25\)

The equation of the line passing through the points (3.-1), and (4,7) is \(y=8x-25\).

Given information:

The given line passes through the points (3.-1), and (4,7).

It is required to write the equation of the line.

Use the two-point form of a line to write the equation of the line:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-(-1)=\dfrac{7-(-1)}{4-3}(x-3)\\y+1=8(x-3)\\y+1=8x-24\\y=8x-25\)

From the above equation of the line, the slope is equal to 8.

Therefore, the equation of the line passing through the points (3.-1), and (4,7) is \(y=8x-25\).

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Answer:

w=pa

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Ok listen I don't know if this is right and if it is not I am sorry so if it is let me know please. And if it's wrong let me know. Thank you.

The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To apply the Central Limit Theorem, the following condition is necessary:

1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).

In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.

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Answer:

61,29

Step-by-step explanation:

x=one number

y=another number

Since you have 2 variables, you need 2 equations:

x+y=90  (the sum of the 2 numbers=90)

x=2y+3  (one number is 3 more than twice another number)

Solve the first equation for x:

x=90-y

Substitute 18-y for x in the 2nd equation:

90-y=2y+3

90=3y+3

87=3y

29=y

So one of the numbers is 29.  Substitute 29 back into the 1st equation to get the other number:

x+29=90

x=61

To find the number of times Shawn came to bat, we can set up a proportion based on the given information. The proportion states that 1 home run is hit every 12 times he comes to bat. Therefore, Shawn came to bat approximately 564 times in order to hit 47 home runs.

Let's denote the number of times Shawn came to bat as "x". The proportion that can be used to solve this problem is:

1 home run / 12 times = 47 home runs / x times

By cross-multiplying the proportions, we have:

1 * x times = 12 * 47 home runs

Simplifying the equation, we find:

x = 12 * 47

Evaluating the expression on the right side, we get:

x = 564

Therefore, Shawn came to bat approximately 564 times in order to hit 47 home runs.

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The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.

An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.

Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.

Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.

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Solution:

Given the graphs (a) and (b)

a) The function of graph (a) is

The graph of the function is shown below

Translating it to get the graph of

The translated function becomes

The translated graph is

b) The function of graph (a) is

The graph of the function is shown below

Translating it to get the graph of

The translated function becomes

The translated graph is



Answer:

something that has been passed down to you or a gift that someone has gave you:)

Step-by-step explanation:

Answer:

m=9

Step-by-step explanation:

9m=81

Answer:

9

Step-by-step explanation:

First you have to get the variable by its self (m). So you will get rid of 6 and since it’s positive you will do negative 6 to cancel it out. But what you do to one side you do to the other, so you will do 87 - 6 and get 81. Now it’s 9m = 81. So then since 9 is next to m that implies multiplcation so you do the opposite of multiplication and dived 9 by both sides. And when you do that you get 9.

Answer:

d = 55.5  

x = 1

c = 11

m = \(\frac{1}{122}\)

k = \(\frac{a}{(c + 5)}\)

Step-by-step explanation:

Sorry, the formatting is slightly hard to understand, but I think this is what you meant.

Q1.

\(\frac{1}{6}\)d - 8 = \(\frac{5}{8}\) x 2

Step 1. Simplify.

\(\frac{5}{8}\) x 2 = \(\frac{5}{8}\) x \(\frac{2}{1}\) = \(\frac{10}{8}\)

Step 2. Cancel out the negative 8.

\(\frac{1}{6}\)d - 8 = \(\frac{10}{8}\)

+ 8 to both sides (do the opposite: \(\frac{1}{6}\)d is subtracting 8 right now, but to cancel that out, we will do the opposite of subtraction, i.e. addition)

\(\frac{1}{6}\)d = \(\frac{10}{8}\) + 8

Step 3. Simplify.

\(\frac{10}{8}\) + 8 = \(\frac{10}{8}\) + \(\frac{8}{1}\) = \(\frac{10}{8}\) + \(\frac{64}{8}\) = \(\frac{74}{8}\) = \(\frac{37}{4}\)

Step 4. Cancel out the \(\frac{1}{6}\).

\(\frac{1}{6}\)d = \(\frac{37}{4}\)

÷ \(\frac{1}{6}\) from both sides (do the opposite: d is multiplied by \(\frac{1}{6}\) right now, but to cancel that out, we will do the opposite of multiplication, i.e. division)

÷ \(\frac{1}{6}\) = x 6

So....

x 6 to both sides

d = \(\frac{37}{4}\) x  6 = \(\frac{37}{4}\) x \(\frac{6}{1}\) = \(\frac{222}{4}\) = \(\frac{111}{2}\) = 55.5

Step 5. Write down your answer.

d = 55.5

Q2.

3x - 4 + 5x = 10 - 2x × 3

Step 1. Simplify

3x - 4 + 5x = 3x + 5x - 4 = 8x - 4

10 - 2x × 3 = 10 - (2x × 3) = 10 - 6x

Step 2. Cancel out the negative 6x

8x - 4 = 10 - 6x

+ 6x to both sides (do the opposite - you're probably tired of reading this now - right now it's 10 subtract 6x, but the opposite of subtraction is addition)

14x - 4 = 10

Step 3. Cancel out the negative 4

14x - 4 = 10

+ 4 to both sides (right now it's 14x subtract 4, but the opposite of subtraction is addition)

14x = 14

Step 4. Divide by 14

14x = 14

÷ 14 from both sides (out of the [14 × x] we only want the [x], so we cancel out the [× 14])

x = 1

Step 5. Write down your answer.

x = 1

Q3.

7(c - 3) = 14 × 4

Step 1. Expand the brackets

7(c - 3) = (7 x c) - (7 x 3) = 7c - 21

Step 2. Simplify

14 x 4 = 56

Step 3. Cancel out the negative 21

7c - 21 = 56

+ 21

7c = 56 + 21

7c = 77

Step 4. Cancel out the ×7

7c = 77

÷ 7

c = 77 ÷ 7

c = 11

Step 5. Write down your answer.

c = 11

Q4.

11(\(\frac{m}{22}\) + \(\frac{3}{44}\)) = 87m + m × 5

Step 1. Expand the brackets

11(\(\frac{m}{22}\) + \(\frac{3}{44}\)) = (11 x \(\frac{m}{22}\)) + (11 x \(\frac{3}{44}\)) = (\(\frac{11}{1}\) x \(\frac{m}{22}\)) + (\(\frac{11}{1}\) x \(\frac{3}{44}\)) = \(\frac{11m}{22}\) + \(\frac{33}{44}\) = \(\frac{m}{2}\) + \(\frac{3}{4}\)

Step 2. Simplify.

87m + m x 5 = 87m + 5m = 92m

Step 3. Cancel out the add \(\frac{3}{4}\)

\(\frac{m}{2}\) + \(\frac{3}{4}\) = 92m

- \(\frac{3}{4}\)

\(\frac{m}{2}\) = 92m - \(\frac{3}{4}\)

\(\frac{m}{2}\) = \(\frac{92m}{1}\) - \(\frac{3}{4}\)

\(\frac{m}{2}\) = \(\frac{368m}{4}\) - \(\frac{3}{4}\)

\(\frac{m}{2}\) = \(\frac{368m - 3}{4}\)

Step 4. Cancel out the ÷ 4

\(\frac{m}{2}\) = \(\frac{368m - 3}{4}\)

x 4

2m = 368m - 3

Step 5. Cancel out the 368m

2m = 368m - 3

- 368m

-366m = - 3

Step 6. Cancel out the × -366

-366m = -3

÷ -366

m = \(\frac{-3}{-366}\)

m = \(\frac{1}{122}\)

Step 7. Write down your answer.

m = \(\frac{1}{122}\)

Q5.

ck + 5k = a

Step 1. Factorise

ck + 5k = (c × k) + (5 × k) = (c + 5) x k = k(c + 5)

Step 2. Cancel out the × (c + 5)

k(c + 5) = a

÷ (c + 5)

k = a ÷ (c + 5)

k = \(\frac{a}{(c + 5)}\)

Answer:

112.625

Step-by-step explanation:

im not good at explaining

1. 125/X 100/15

2. 125 x 15= 1875

3. 1875 / 100 = 18.75

now gotta subtract since 18.75 is 15% of 125

4. 125 - 18.75 = 106.25

The tax

106.25/X 100/6

106.25 x 6 = 637.5

637.5 / 100 = 6.375

106.25 + 6.375 = 112.625

so 112.625 is the price of the coffee table

this was a lot of work

Answer:

There is a six out of eight (6/8) chance of it being an even number

The width of the bin is 18 inches.

Let's start by identifying the formula for the surface area of a rectangular prism:

Surface area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the prism, respectively.

We are given that the height is 10 inches, the length is 12 inches, and the total surface area is 1,032 square inches. We can use these values to write an equation:

2lw + 2lh + 2wh = 1,032

Substituting the given values:

2(12)(w) + 2(12)(10) + 2(w)(10) = 1,032

Simplifying:

24w + 240 + 20w = 1,032

44w + 240 = 1,032

44w = 792

w = 18

Therefore, the width of the bin is 18 inches.

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