solve for x in the literal equation −14 = xy + z.

The average rate of change of the function r(t) over the interval [0, √40] is -1.

The average rate of change of the function r(t) over the interval [0, √40] can be found using the formula:

Average Rate of Change = [r(√40) - r(0)] / (√40 - 0)

First, we need to find r(√40) and r(0). We know that r(t) = √(40 - t^2), so:

r(√40) = √(40 - (√40)^2) = √(0) = 0

r(0) = √(40 - 0^2) = √40

Substituting these values into the formula, we get:

Average Rate of Change = [0 - √40] / (√40 - 0)

Average Rate of Change = (-√40) / (√40)

Average Rate of Change = -1

Therefore, the average rate of change of the function r(t) over the interval [0, √40] is -1.

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Answer:

the height is 7.5

Step-by-step explanation:

30 divided by 4 = 7.5

Answer: 97.7 F 32.54 F

Step-by-step explanation:

So the equation to go from Celsius to Fahrenheit is 9/5(C)+32

So it would be 9/5(36.5)+32=97.7 F

And 9/5(0.3)+32=32.54 F

The new mean is 97.7 F and new standard deviation is 32.54 C.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean.

Given:

Mean = 36.5 C

Standard deviation = 0.3 C

Now, converting Celsius to Fahrenheit as

= 9/5(C)+32

So, the new mean is

=9/5(36.5)+32

=97.7 F

and, new standard deviation is

= 9/5(0.3)+32

=32.54 F

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The value of an expression, we need to follow a specific set of steps. Let's take a look at an example expression to illustrate these steps:

the simplified expression is \(8x^2 + 5x.\)
\(3x + 2y - 4z\)

Step 1: Identify the variables in the expression. In this case, we have three variables: x, y, and z.

Step 2: Determine the values of each variable. Depending on the context of the problem, the values of the variables may be given or we may need to solve for them.

For example, if we are given that x = 2, y = 5, and z = 1, then we can substitute these values into the expression:

\(3(2) + 2(5) - 4(1) = 6 + 10 - 4 = 12\)

So the value of the expression is 12 when x = 2, y = 5, and z = 1.

Step 3: Simplify the expression. If there are any like terms in the expression (terms with the same variable and exponent), we can combine them.

For example:

\(5x^2 + 3x^2 - 2x + 7x \)

We can combine the two x^2 terms to get:

\(8x^2 - 2x + 7x  \)

And then combine the -2x and 7x terms to get:

\(8x^2 + 5x  \)
Overall, the key steps to determine the value of an expression are to identify the variables, determine their values, and simplify the expression if possible.

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There are 6 values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s.

All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤x≤ 1.

Given

A snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.

The values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s are,

At t = 0

s,=>Y₀= 0 cm

At t =1

s,=>Y₁= 0 cm

At t = 2

s,=>Y₂= 0 cm

At t =3

s,=>Y₃= 0 cm

At t =4

=>Y₄= 0 cm

At t = 5 s,

=>Y₅=0 cm

At t = 6

s,=>Y₆= 0 cm

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The average population being studied is people with warts. Specifically, this population includes individuals of all ages who have been diagnosed with any type of wart caused by a virus, such as common warts, plantar warts, and flat warts.

The population being studied is people with warts. Warts are caused by a virus and can occur anywhere on the body. Common warts, plantar warts, and flat warts are the most common types. Common warts are usually found on the hands and fingers, and are usually round and raised. Plantar warts are found on the soles of the feet and can be painful. Flat warts are usually found on the face, arms, and legs, and are generally flat and smooth. People of all ages can be affected by warts, and they are highly contagious and can be spread through contact with an infected person or surface. Treatment options include over-the-counter medicines and prescription medications, as well as cryotherapy and laser treatments. This population is being studied to better understand the causes, risk factors, and treatments for warts.

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The complete question is

what is the population being studied warts and  the prevalence of warts in the population being studied?

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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5,

O, Y, M, I and A would look the same in a reflection as they are symmetrical

Equation of the plane Let's first find the normal vector of the plane using two vectors that lie on the plane. Taking two vectors from the points P, Q, and R:→v=→PQ=⟨6−3,6−6,5−6⟩=⟨3,0,−1⟩→w=→PR=⟨−5−3,6−6,6−6⟩=⟨−8,0,0⟩The cross product of these two vectors will give us the normal vector.

⟨3,0,−1⟩×⟨−8,0,0⟩

=⟨0,8,0⟩

The equation of the plane is of the form

a(x−x0)+b(y−y0)+c(z−z0)=0

where (x0, y0, z0) is any point on the plane, and ⟨a, b, c⟩ is the normal vector.

Let's use the point

R=⟨−5,6,6⟩a(x+5)+by+c(z−6)=0

Multiplying the equation by −1/

c:−a(x+5)/c−b(y−6)/c+z−6=0

Taking c=8, we obtain:

3(x+5)+0(y−6)+8(z−6)=0

Simplifying:3x+8z=30

Therefore, the only valid value of θ is θ=0°.

Answer: Equation of plane: 3x+8z=30The angle between v and w is θ=0°.

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Reaction force at point A = 650 N. Reaction force at point B = 650 N.  

Reaction force at point C= Unknown (dependent on the constraints turned ). Reaction force at point D = 0 N.

To find the reaction forces at points A, B, C, and D in the given support frame, we need to analyze the equilibrium of the system.

Let's start by considering the vertical forces acting on the frame.

At point A, we have a reaction force denoted as RA. Since the weight of the cylinder acts downward with a force of 650 N, the sum of the vertical forces at point A must be zero.

Therefore, we can write the equation:

RA - 650 N = 0

Solving for RA:

RA = 650 N

So the reaction force at point A is 650 N.

Moving to point B, we have another reaction force denoted as RB. Again, considering the vertical forces, the sum of the forces at point B must be zero. We have the weight of the cylinder acting downward with a force of 650 N, and the reaction force RB acting upward.

Therefore, we can write the equation:

RB - 650 N = 0

Solving for RB:

RB = 650 N

The reaction force at point B is also 650 N.

Now, let's consider point C, where the frame is turned. At a turned connection, the reaction force acts perpendicular to the surface of contact. In this case, the reaction force at point C can be decomposed into both vertical and horizontal components.

Since the frame is turned, there is no vertical force acting at point C. However, there may be a horizontal force, depending on the constraints of the turn. Without further information, we cannot determine the exact magnitude of the horizontal component of the reaction force at point C.

Moving on to point D, we don't have any forces acting directly on it. Therefore, the reaction force at point D is zero (0 N) since there are no external forces applied at that point.

Therefore, Reaction force at point A (RA) = 650 N. Reaction force at point B (RB) = 650 N. Reaction force at point C (RC) = Unknown (dependent on the constraints). Reaction force at point D (RD) = 0 N

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Question: A 650 N weight of a cylinger was a support of a frame ABC. The supporting frame is turned at C. Find the reaction force at A, B, C, D.

Answer:

For every rap song Ling listened to, she listened to 3 country songs.

Ling listened to 3 times as many country songs as rap songs.

Ling listened to a ratio of 4 rap songs to 12 country songs.

Step-by-step explanation:

Answer:

2,3,4

Step-by-step explanation:

Answer:

#1 is f.

#2 is d.

#3 is a.

#4 is b.

#5 is c.

#6 is g.

#7 is e.

Step-by-step explanation:

The digit "9" is in the ten's place because it is two numbers/spaces left from the decimal. If you make all the other digits "0", you'll be left with a value of 90.

The digit "1" is in the one's place because it is one number/space left from the decimal. Applying the same concept of making all the other digits "0", you'll be left with a value of 1.

The type of digits to the right of the decimal, starting from left to right, are the tenths place, hundredths place, thousandths place, ten-thousandths place, and millionths. Remember and know those digit types based on their position away from the decimal. The value will be there for you to see afterward.

Answer:

B) Subtraction Property of Equality

Step-by-step explanation:

To get m∠B=77º, the problem subtracted 103º from both sides of 103º+m∠B=180º.

The Subtraction Property of Equality states that if x=y, then x-a=y-a.

In this case x=103º+m∠B, y=180º, and a=103º.

Answer:

100g of nuts

Step-by-step explanation:

Data :

 Ratio 8:5

Friut is  160 g

Now

160÷8 = 20

So 1 ratio is equal to 20g

20 × 5 = 100

Answer:

Skew lines are two lines that do not intersect and are not parallel.

Correct option is C. BG

Corresponding parts are congruent in congruent figures

Parallel line have same slopes

Given line:

The only line with same slope of -3 is the last one:

Correct option is D

The probability of choosing another white marble is:11/27 = 0.4074 (rounded to four decimal places).This can be calculated by dividing the number of white marbles left in the box by the total number of marbles left in the box.

Since the first marble chosen there are now 11 white marbles and 15 total marbles remaining in the box.
The probability of choosing another white marble, use the following fraction:
(Number of white marbles remaining) / (Total marbles remaining)
Probability = 11/15
To express this as a decimal rounded to four decimal places:
Probability = 11 ÷ 15 ≈ 0.7333
So, the probability of choosing another white marble is 11/15 or 0.7333.

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The value of the middle of the three is 25.

Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:

x + (x+2) + (x+4) = 75

Simplifying the left side of this equation gives:

3x + 6 = 75

Subtracting 6 from both sides gives:

3x = 69

Dividing by 3 gives:

x = 23

So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.

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Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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Answer:

the ordered pair (0, 1/6)

Step-by-step explanation:

To reflect a function across the y-axis, we replace every occurrence of x with -x. Therefore, the function g(x) is given by:

g(x) = f(-x) = 1/6(2/5)^(-x)

To find an ordered pair on g(x), we need to choose a value of x and evaluate g(x). For example, if we choose x = 0, then:

g(0) = 1/6(2/5)^(-0) = 1/6

Therefore, the ordered pair (0, 1/6) is on the graph of g(x).

Answer:

2/3 1/2 3/4 4/5 5/6 etc

Step-by-step explanation:

A complex fraction is a fraction where the numerator and the denominator are also fractions eg (3/4)/(6/7)

So, I figure a non complex fraction would be the opposite.

So, any fraction with integers as the numerators and denominators which are not divisible by each other could be a correct answer

The judicious selection of the design increases the likelihood that the observed change in the dependent variable is a result of manipulating the independent variable rather than other factors.

When conducting research or experiments, it is crucial to carefully choose the design of the study. By doing so, researchers can minimize the influence of confounding variables and increase the internal validity of their findings. Internal validity refers to the extent to which the observed changes in the dependent variable can be attributed to the manipulation of the independent variable.

A well-designed study incorporates control groups, randomization, counterbalancing, and other techniques to reduce the impact of extraneous variables. This ensures that any observed changes in the dependent variable are more likely to be a direct result of manipulating the independent variable, rather than being influenced by other factors.

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Grace

2 cups black paint + 1 cup white paint

percent of white paint = (cups white paint / total cups of paint) × 100 = (1/3)×100 = 33.3%

Chase

7 cups black paint + 3 cups white paint

percent of white paint = (cups white paint / total cups of paint) × 100 = (3/10)×100 = 30%

Grace's gray is lighter since it has a greater percentage of white paint

Answer: \(x^{26}\)

Step-by-step explanation:

The \(x^2\) appears 13 times. Using the exponent rule \(x^a x^b=x^{a+b}\), we get that:

\(x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2=x^{2(13)}=x^{26}\)

Answer:

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Step-by-step explanation:

Recall the MacLaurin series for sin(x)

\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)

Substitute 3t²

\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)

Use FTC Part 1 to find degree 7 for F(x)

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Hopefully you remember to integrate each term and see how you get the solution!

Answer:

y = -7

Step-by-step explanation:

put the -10 to the other side, to get rid of it, you +10 to -17 to get -7

so Y=-7

Hope this helps :)

Answer:

Term  Result

123       724

250     1486

Step-by-step explanation:

A table of the values is attached (Table1).  The puropose of a table in this case is help identify the relationship between the series of numbers.  The first column is added to label the term number, starting from 0.  The question eventually asks for the value of 123rd and 250th terms, so it seems a good idea to incorporate term numbers early in the analysis.

The table suggests a pattern in the sequence.  There is a constant difference of +6 each time the term increases by 1 (Column 3).  This measn there is a linear relationship.  The term column in the table can be increased as far down as we want, even to 250.  With a spreadshhet, this is a simple task.  A more useful, and elegant, approach is to derive the linear equation that will predict the value of any term, which we'll call x.  The result of the term is y.

y = mx + b is the satadrad format of a linear equation:  m is the slope (or rate of change) and b is the y-intercept (the value of y when x = 0).  We have what we need to find both m and b.

m is the change between consequtive terms, which is 6 (y increases by 6 for every consecutive term).  The value of b is -14, since a term of 0 results in a -14.

The linear equation is thus:  y = 6x-14, where x is the term and y the result.  The third column (Predict) shows the results for the terms provided, and includes the predictions for terms 123 and 250.  The equations correctly predicts the given terms, so we can felel confident that any term can be determined with y = mx - 14.

Term  Result

123       724

250     1486

Answer:

5a) -8 .     Plan : addition/negative?

5b) -30 .   Plan: subtraction/negative?

Step-by-step explanation:

Im not so sure about what "Plan" means, hopefully you know..

5a)

-15 + 7 = 7 - 15 = -8

5b) -10 +(-20) = -10 - 20 = -30

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Below

Step-by-step explanation:

So lets start with the first one:

-15+7

We are going to add these together, and will get -8.

Next we have:

-10+(-20)

When there is both a subtraction or negative sign, and a plus sign, the plus sign is removed.

So we can think of this as:

-10-20

And since the -10 is negative, and we are subtracting it, it is going to get more engative:

-10-20=-30

This is the solution answer.

I do not know what the answer to the plan is, i dont understand what plan means.

Answer:

3. 1067

4. 11875

5. 1638

6. 19317

7. 3432

8. 42022642

9. 318384

The problem asks for the number of different possible values that can result from adding the sum and product of two positive even integers less than 15.

To find the possible values, we consider all pairs of positive even integers less than 15. Since both numbers must be even, they can be expressed as 2k and 2m, where k and m are positive integers. The sum of these two numbers is 2k + 2m = 2(k + m), and their product is (2k)(2m) = 4km.

Considering the constraints, k and m can take values from 1 to 7, as the maximum even integer less than 15 is 14. By substituting different values of k and m, we can generate different values of the sum and product.

To count the different possible values, we observe that the value of 2(k + m) depends on the sum of k and m, while the value of 4km depends on their product. As there are 7 possible values for the sum (k + m) and 7 possible values for the product km, we multiply these two counts to obtain the total number of different possible values.

Hence, the number of different possible values resulting from adding the sum and product of two positive even integers less than 15 is 7 * 7 = 49.

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