PLS HELP HURRY ILL GIVE BRAINLIEST

PLS HELP HURRY ILL GIVE BRAINLIEST

Answers

Answer 1

The triangular prism has a surface area of 1340 square meters. The answer is 1340 m².

How to calculate surface area?

To calculate the surface area of a triangular prism, find the area of all its faces and add them together.

The triangular base has a base of 10 m and a height of 14 m, so its area is:

(1/2) × base × height = (1/2) × 10 m × 14 m = 70 m²

There are two identical triangular faces, so the total area of both is:

2 × 70 m² = 140 m²

The rectangular faces have dimensions of 10 m by 25 m and 14 m by 25 m, so their areas are:

10 m × 25 m = 250 m²

14 m × 25 m = 350 m²

Again, there are two rectangular faces, so the total area of both is:

2 × (250 m² + 350 m²) = 1200 m²

Finally, add the areas of all the faces:

140 m² + 1200 m² = 1340 m²

Therefore, the surface area of the triangular prism is 1340 square meters.

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Related Questions

Which of the following rational functions is graphed below?
110
- 10
10
Iho-
O
A. F(x) = 3/x

B. F(x) = х/X + 3

O c. F(x) = x-3/x


D. FX) = x/3

Answers

Answer: A
Hope this helped.

The given graph is of the rational number f(x)=1/x(x-3)

What is rational numbers ?

All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.

here, we have,

Which function represents the given graph :

The given graph represents the function f(x)=1/x(x-3)

Since the value of x can never be equals to zero in this function as graph is representing.

Hence option (b) f(x)=1/x(x-3) is the correct answer.

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Midpoint of (- 2, 6) (4, - 2)

Answers

Answer:

(0,5)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

(x1+x2/2,y1+y2/2)

Substitute in the values for (x1,y1)and (x2,y2).

(-2+2/2,\(\frac{4+6}{2}\))

Cancel the common factor of −2+2 and 2.

(−1+1, \(\frac{4+6}{2}\))

Add −1 and 1.

(0,\(\frac{4+6}{2}\))

Cancel the common factor of 4+6 and 2.

(0, 2+3)

Add 2 and 3.

(0,5)

(Sorry, some of the fractions weren't working)

What is the answer for this equation 600 is 4/9 of what number 

Answers

Answer:

933.3333333

Step-by-step explanation:

What is the answer for this equation 600 is 4/9 of what number

is y^2=4x-7 a linear

Answers

Answer: it's a linear equation

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

what is 0.00604 in scientific notation​

Answers

Answer:

6.04 × 10-3

Step-by-step explanation:

Answer:

6.04 E^-3

Step-by-step explanation:

You are the marketing manager for Pointer Plumbing. You are
earning an annual salary of $41,600. You are single and claim
3 allowances. Using the percentage method, what amount is
withheld from your weekly pay for federal income tax?

Answers

Answer:

13866.66

Step-by-step explanation:

you divide

Brainliest please

Will give brain-list
Omar has a bag that contains pineapple chews, cherry chews, and peach chews. He performs an experiment. Omar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Omar performs the experiment 51 times. The results are shown below:
A pineapple chew was selected 11 times.
A cherry chew was selected 28 times.
A peach chew was selected 12 times.

Based on these results, express the probability that the next chew Omar removes from the bag will be cherry chew as a fraction in simplest form.

Answers

Cherry was picked the most which was 28 times out of 51

The probability of picking cherry is 28/51

simple, the answer is 28/51 as a fraction. when it gives you a total or how much it was done that is the denominator, and the amounts given are the numerators :)

Next consider a different scenario. Instead of Mexico experiencing rapid economic growth suppose that Canada experiences rapid and prolonged economic growth. Consider the affect of Canada economic growth on the economic growth of various us states. Move states that should grow quickly

Answers

The correct answer to this open question is the following.

Although the question does not include references, under that context we can say that if Canada experiences rapid and prolonged economic growth, instead of México, this would affect Canada's economic growth for the better and it will have a direct impact in various US states, basically, the border states to Canada.

This would mean more trade relations and people border crossing activity due to the increase of trade and businesses.

However, let's have in mind that México, Canada, and the United States have signed a new trade agreement that substitutes the North American Free Trade Agreement (former NAFTA). The new agreement is called USMCA, the United States, México, and Canada Agreement, and creates tight trade bonds between the three countries.

Answer:

grow quickly: michigan minnesota new york

not impacted: texas n. carolina

Step-by-step explanation: states that border canada are expected to gain from trade easier.

Which graph represents the compound inequality?
-3 -5 -4 -3 -2 -1 0 1 2
دعا
3
4 5
++
-5 4 -3 -2 -1 0 1
2
3
4 5
-5 4 -3 -2 -1 0 1
2 3
4 5
+
3
-5 4 -3 -2 -1 0
1
2
4
5

Which graph represents the compound inequality?-3-5 -4 -3 -2 -1 0 1 234 5++-5 4 -3 -2 -1 0 1234 5-5 4

Answers

Answer:

d

Step-by-step explanation:

here is the answer -option d

solve by using subsitution or elimnation by addition. 4x-3y=3 -8x 6y=-6

Answers

If we solve  4x-3y=3, -8x +6y=-6 by substitution or elimination, we will have x=3/4 and y=0

We have the following simultaneous equations:

4x-3y=3.....................(i)

-8x+6y=-6..................(ii)

We solve using substitution:

Make x the subject of formula in equation(i):

4x=3+3y

x=(3+3y)/4

Now, replace the value of x in equation(ii)

-8x+6y=-6, and x=(3+3y)/4

-8((3+3y)/4)+6y=-6

-2(3+3y)+6y=-6

-6-6y+6y=-6

y=0

Now, we replace the value of y=0 in any equations we have to find the corresponding value of x:

4x-3y=3, but y=0

4x-3(0)=3

4x=3

x=3/4

Hence, x=3/4, y=0

The question was incomplete, the complete question is given below:

solve by using substitution or elimination by addition. 4x-3y=3 -8x+6y=-6

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Find the minimum value of f (x,y,z) = 2x2 + y2 + 3z2 subject to
the constraint 2x – 3y - 4z = 49

Answers

The minimum value of f (x,y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x – 3y - 4z = 49 is 7075/169 using the method of Lagrange multipliers.

To solve this problem, we introduce a Lagrange multiplier λ and form the function

F(x,y,z,λ) = 2x^2 + y^2 + 3z^2 + λ(2x – 3y – 4z – 49)

Taking partial derivatives with respect to x, y, z, and λ, we get

∂F/∂x = 4x + 2λ

∂F/∂y = 2y – 3λ

∂F/∂z = 6z – 4λ

∂F/∂λ = 2x – 3y – 4z – 49

Setting these to zero, we have a system of four equations:

4x + 2λ = 0

2y – 3λ = 0

6z – 4λ = 0

2x – 3y – 4z = 49

Solving for x, y, z, and λ in terms of each other, we get

x = -λ/2

y = 3λ/2

z = 2λ/3

λ = -98/13

Substituting λ back into the expressions for x, y, and z, we get

x = 49/13

y = -147/26

z = -98/39

Finally, substituting these values into the expression for f(x,y,z), we find that the minimum value is f(49/13, -147/26, -98/39) = 7075/169

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Mike purchased a notebook, pen, and two pencils from the school's book fair. All notebooks are $2.98, pens are $1.75, and pencils are $0.75 What was Mike total ?​

Answers

Answer:

5.48

Step-by-step explanation:

add 2.98 1.75 and 0m75

Answer:

It's 6.23

Step-by-step explanation:

just add them and add the decimals

factorise x^2-6x-55=0

Answers

Answer:

(x+5)(x-11)=0

Step-by-step explanation:

x^2-6x-55=0

[Multiply the coefficient of last and first, (55*1=55) and find such a factor of it such that its product is equal to the product of coefficient of last and first and such that it adds or subtracts(11-5=6)(depending on the sign of last coefficient) up to the coefficient of middle term]

x^2-11x+5x-55=0

x(x-11)+5(x-11)=0

(x+5)(x-11)=0

urn i contains two red chips and four white chips: urn ii, three red and one white. a chip is drawn at random from urn i and transferred to urn ii. then a chip is drawn from urn ii. what is the probability that the chip drawn from urn ii is red?

Answers

The probability that the chip drawn from urn II is red is 4/15. Let's call the event that the chip drawn from urn I and transferred to urn II is red "R1", and the event that the chip drawn from urn II is red "R2".

The probability of event R1 is 2/6 = 1/3.

Given that event R1 has occurred, the number of red chips in urn II becomes 4, and the number of total chips becomes 4+1=5. The probability of event R2 is 4/5 = 4/5.

The probability of both events occurring is (1/3) * (4/5) = 4/15.

So, the probability that the chip drawn from urn II is red is 4/15.

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Find a function r(t) that describes the line segment from P(2,7,3) to Q(3,1,1). A. r(t)=⟨2−t,7+6t,3+2t⟩;0≤t≤1 B. r(t)=⟨2+t,7−6t,3−2t⟩;0≤t≤1 C. r(t)=⟨2+t,7−6t,3−2t⟩;1≤t≤2 D. r(t)=⟨2−t,7+6t,3+2t⟩;1≤t≤2

Answers

The correct function that describes the line segment from P(2,7,3) to Q(3,1,1) is r(t) = ⟨2 + t, 7 - 6t, 3 - 2t⟩; 0 ≤ t ≤ 1.

The function that describes the line segment from point P(2,7,3) to Q(3,1,1), we can use the parametric form of a line. The general form of a line equation is r(t) = ⟨x₀ + at, y₀ + bt, z₀ + ct⟩, where (x₀, y₀, z₀) is a point on the line and (a, b, c) are direction ratios.

1. First, we find the direction ratios by subtracting the coordinates of P from Q:

  a = 3 - 2 = 1

  b = 1 - 7 = -6

  c = 1 - 3 = -2

2. Next, we substitute the point P(2,7,3) into the line equation and simplify:

  r(t) = ⟨2 + t, 7 - 6t, 3 - 2t⟩

3. The parameter t represents the distance along the line segment. Since we want to describe the segment from P to Q, we need t to vary from 0 to 1, ensuring that we cover the entire segment.

4. Comparing the obtained equation with the given options, we find that the correct function is r(t) = ⟨2 + t, 7 - 6t, 3 - 2t⟩; 0 ≤ t ≤ 1.

Therefore, option A, r(t) = ⟨2 - t, 7 + 6t, 3 + 2t⟩; 0 ≤ t ≤ 1, is the correct answer.

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CNNBC recently reported that the mean annual cost of auto insurance is 1046 dollars. Assume the standard deviation is 206 dollars. You take a simple random sample of 66 auto insurance policies.
Find the probability that a single randomly selected value is less than 979 dollars. PlX < 979) = Find the probability that a sample of size n = 66 is randomly selected with a mean less than 979 dollars. P/M < 979) = Enter your answers as numbers accurate to 4 decimal places.

Answers

The probability of a standard normal variable being less than -2.65 is 0.0040. Therefore, P(x < 979) = 0.0040.

To solve this problem, we use the central limit theorem since we have a large enough sample size.

a) Probability that a single randomly selected value is less than 979 dollars

To find the probability that a single randomly selected value is less than 979 dollars, we standardize the value and use the standard normal distribution:

z = (979 - 1046) / 206 = -0.3233

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being less than -0.3233 is 0.3736. Therefore, P(X < 979) = 0.3736.

b) Probability that a sample of size n = 66 is randomly selected with a mean less than 979 dollars

To find the probability that a sample of size n = 66 is randomly selected with a mean less than 979 dollars, we use the central limit theorem.

The mean of the sampling distribution of the sample means is the same as the population mean, which is 1046 dollars. The standard deviation of the sampling distribution of the sample means is the standard error, which is:

SE = σ / sqrt(n) = 206 / sqrt(66) = 25.23

To standardize the sample mean, we use the formula:

z = (x - μ) / SE = (979 - 1046) / 25.23 = -2.65

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being less than -2.65 is 0.0040. Therefore, P(x < 979) = 0.0040.

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Given v^2 = u^2 − 2as. Solve for u, when v = 10, a = 5 and s = 2.

Answers

Answer:

u ≈ 11

Step-by-step explanation:

10² = u² - 2(5)(2)

100 = u² - 20

120 = u²

u = \(\sqrt{120}\)

u = \(\sqrt{4}\)\(\sqrt{30}\) = 2\(\sqrt{30}\) which is 10.95

line has a slope of –1/9 and includes the points (10,6) and (s,7). What is the value of s?

Answers

Answer:

s=1

Step-by-step explanation:

Slope formula is

Δy/Δx


Substitute in:

7-6/s-10=-1/9

cross multiply

7-6=-1/9s+10(1/9)

7-6=-1/9s+10/9

1-10/9=-1/9s

-1/9=-1/9s

divide both sides by -1/9

thus:

1=s

s=1

(check by plugging back in)

7-6/1-10=-1/9

if you wanted to find out if alcohol consumption (measured in fluid oz.) and grade point average on a 4-point scale are linearly related, you would perform a

Answers

When alcohol consumption and grade point are linearly related, the appropriate test used for this would be the t-test for a correlation coefficient. So the correct test is option C.

Correlated group t-test also referred to as paired samples t-test is the test in which each participant is tested twice. It is a type of dependent test where the sample consists of matched pairs with the same units. So in this test, the groups are related to one another.

Let us consider an example of a patient receiving medical treatment. Here, the paired t-test is used to test the patient before and after treatment. The formula used to calculate this test is written as, \(t=\frac{\bar{X}-\bar{Y}}{\frac{s_{D}}{\sqrt{n}}}\). Here, the two means are denoted by \(\bar{X}\)  and \(\bar{Y}\). The standard deviation difference is denoted by \(s_D\), and the sample size is n.

Since both alcohol consumption and grade point are linearly related, the t-test for a correlated sample is used.

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The complete question is -

If you wanted to find out if alcohol consumption (measured in fluid oz.) and grade point average on a 4-point scale are linearly related, you would perform a

A) a Z test for the difference in two proportions

B) X​² test for the difference in two proportions

C) a t-test for a correlation coefficient                  

D) X​² test for independence.

: Question 4 Find an equation inx and y for the line tangent to the curve x(t)--, y(r)- at the point,10 2x + 20 10 46 1 56 2

Answers

The equation in x and y for the line tangent to the curve x(t) = 10t + 46 and y(t) = 2t² + 20t + 56 at the point (10, 46).

By finding the derivatives of x(t) and y(t) with respect to t, we can determine the slope of the tangent line at any given point. Plugging in the value of t corresponding to the point (10, 46) into the derivatives will give us the slope of the tangent line at that point. Finally, using the point-slope form of a linear equation, we can write the equation of the tangent line in terms of x and y.

To find the equation of the line tangent to the curve x(t) = 10t + 46 and y(t) = 2t² + 20t + 56 at the point (10, 46), we need to determine the slope of the tangent line at that point. We start by finding the derivatives of x(t) and y(t) with respect to t.

The derivative of x(t) with respect to t gives us the rate of change of x with respect to t, which is the slope of the tangent line for the x-coordinate. Taking the derivative of x(t) = 10t + 46, we get dx/dt = 10.

The derivative of y(t) with respect to t gives us the rate of change of y with respect to t, which is the slope of the tangent line for the y-coordinate. Taking the derivative of y(t) = 2t² + 20t + 56, we get dy/dt = 4t + 20.

To find the slope of the tangent line at the point (10, 46), we substitute t = 10 into the derivatives: dx/dt = 10 and dy/dt = 4(10) + 20 = 60.

Now that we have the slope (m) of the tangent line, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) represents the given point on the curve. Substituting (10, 46) and the slope m = 60, we get the equation of the tangent line:

y - 46 = 60(x - 10)

Simplifying the equation further, we have:

y - 46 = 60x - 600

This is the equation in x and y for the line tangent to the curve x(t) = 10t + 46 and y(t) = 2t² + 20t + 56 at the point (10, 46).

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If x and y are linearly​ independent, and if z is in Span {x, y}​, then {x, y, z} is linearly dependent.
a. true
b. false

Answers

The statement is true: If x and y are linearly independent, and if z is in Span {x, y}, then {x, y, z} is linearly dependent.

The statement is true.
Let's first understand the terms used:
Linearly independent:

A set of vectors is linearly independent if none of them can be expressed as a linear combination of the other vectors. In other words, no vector in the set can be written as a sum of scalar multiples of the other vectors.
Span:

The span of a set of vectors is the set of all linear combinations of those vectors.

In this case, Span\({x, y}\) is the set of all vectors that can be formed by adding scalar multiples of x and y.
Now, let's consider the given statement:
If x and y are linearly independent, it means that neither x nor y can be expressed as a linear combination of the other. However, it is given that z is in the Span\({x, y}.\)

This means that z can be expressed as a linear combination of x and y:
\(z = ax + by\), where a and b are scalar constants.
Let's analyze the set\({x, y, z}\). We know that z can be expressed as a linear combination of x and y, as shown above. This implies that the set \({x, y, z}\)is linearly dependent, because one vector (z) can be expressed as a linear combination of the others \((x and y)\).

Thus, the statement is true: If x and y are linearly independent, and if z is in Span\({x, y}\), then\({x, y, z}\) is linearly dependent.

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PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS ALSO SOLVE INEQUALITIES WITH INTEGERS.#2-#6 THANK YOU(:

PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER

Answers

The following are the solution to the given inequalities;

-13 < 4x + 7 ; -5 < x

-2x + 7 < 19 ; x > -6

-45 < 5(p - 2) ; -7 < p

21 < -7(x - 2) ; -1 > x

-9x + 10 > -8 ; x < 2

2 - 6 < 3 ; -4 < 3

How to solve inequalities?

-13 < 4x + 7

combine like terms

-13 - 7 < 4x

-20 < 4x

divide both sides by 4

-5 < x

-2x + 7 < 19

combine like terms

-2x < 19 - 7

-2x < 12

x < 12/-2

x > -6

When dividing inequality with negative, the inequality sign will flip.

-45 < 5(p - 2)

open parenthesis

-45 < 5p - 10

-45 + 10 < 5p

-35 < 5p

-7 < p

21 < -7(x - 2)

21 < -7x + 14

21 - 14 < -7x

7 < -7x

divide both sides by -7.

-1 > x

-9x + 10 > -8

-9x > -8 - 10

-9x > -18

x > -18/-9

x < 2

2 - 6 < 3

-4 < 3

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A 24 ounce bottle of apple juice is $5.52. A 32 ounce bottle of apple juice is $8.00. Which bottle of apple juice is a better deal? Explain your answer

Answers

Answer:

32 ounce because its more apple juice and only 3 dollars more

Step-by-step explanation:

Subtract. Express your answer in lowest form. 8 1/4 minus 5 2/3 a. 3 5/12 b. 3 7/12 c. 2 5/12 d. 2 7/12

Answers

Answer:

D. 2 7/12

Step-by-step explanation:

8 1/4 - 5 2/3

Turn to improper fractions.

33/4 - 17/3

Make the denominators equal.

99/12 - 68/12

Subtract the fractions since denominators are equal.

31/12

= 2 7/12

Answer:

\( 2 \frac{7}{12} \)

Answer D is correct.

Step-by-step explanation:

\(8 \frac{1}{4} - 5 \frac{2}{3} \\ \frac{33}{4} - \frac{17}{3} \\ \frac{99 - 68}{12} \\ \frac{31}{12} = 2 \frac{7}{12} \)

38% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​:
(a). exactly three: P(3) =
(b). at least four: P(x\geq4)=
(c). less than eight: P(x<8)=

Answers

The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​:

(a) P(3) = 0.2636

(b) P(x≥4) = 0.1814

(c) P(x<8) = 0.9997

(a) To find the probability that exactly three out of twelve U.S. adults favor the use of unmanned drones by police agencies, we can use the binomial probability formula:

P(3) = (12 choose 3) * (0.38)^3 * (1-0.38)^(12-3) = 0.2636

where (12 choose 3) = 12! / (3! * 9!) represents the number of ways to choose 3 out of 12 adults.

(b) To find the probability that at least four out of twelve U.S. adults favor the use of unmanned drones by police agencies, we can use the complement rule and subtract the probability of having three or fewer adults who favor the use of drones from 1:

P(x≥4) = 1 - P(x≤3) = 1 - [(12 choose 0) * (0.38)^0 * (1-0.38)^(12-0) + (12 choose 1) * (0.38)^1 * (1-0.38)^(12-1) + (12 choose 2) * (0.38)^2 * (1-0.38)^(12-2) + (12 choose 3) * (0.38)^3 * (1-0.38)^(12-3)] = 0.1814

(c) To find the probability that less than eight out of twelve U.S. adults favor the use of unmanned drones by police agencies, we can sum up the probabilities of having zero to seven adults who favor the use of drones:

P(x<8) = P(x=0) + P(x=1) + ... + P(x=7) = (12 choose 0) * (0.38)^0 * (1-0.38)^(12-0) + (12 choose 1) * (0.38)^1 * (1-0.38)^(12-1) + ... + (12 choose 7) * (0.38)^7 * (1-0.38)^(12-7) = 0.9997

Note that the probability of having eight or more adults who favor the use of drones is negligible.

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A region in the first quadrant is enclosed by the graphs of y=e 2x
,x=1, and the coordinate axes. If the region is rotated about the y-axis, the volume of the solid that is generated is represented by which of the following integrals? (A) 2π∫ 0
1

xe 2x
dx (B) 2π∫ 0
1

e 2x
dx (C) π∫ 0
1

e 4x
dx (D) π∫ 0
e

ylnydy (E) 4
π

∫ 0
e

ln 2
ydy

Answers

The volume of the solid generated by rotating the region in the first quadrant, enclosed by the graphs of y = e^(2x), x = 1, and the coordinate axes, about the y-axis can be represented by the integral:

(A) 2π∫[0 to 1] x*e^(2x) dx.


To find the volume of the solid, we use the method of cylindrical shells. We integrate the area of each cylindrical shell formed by rotating an infinitesimally thin strip of the region about the y-axis.

In this case, the height of each cylindrical shell is given by the function
y = e^(2x), and the radius is the corresponding x-value.

The limits of integration are from x = 0 to x = 1, as specified by the given region.

Using the formula for the volume of a cylindrical shell, V = 2π * radius * height * thickness, and substituting the height as y = e^(2x) and the radius as x, we get the integral 2π∫[0 to 1] x*e^(2x) dx, which represents the volume of the solid generated.

Therefore, the correct representation for the volume of the solid is option (A) 2π∫[0 to 1] x*e^(2x) dx.

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A mass on a spring rests at its equilibrium position. The mass is pulled down vertically 8 cm below its equilibrium position before being released. Assume a constant amplitude and period as the mass oscillates from down to up to down again in 1.5 seconds.
A. Use a cosine function to model the mass’s vertical displacement relative to its equilibrium position over time.

B. What is the amplitude of the function? What is the period of the function?

Answers

A. The equation for the mass's vertical displacement over time is:

y(t) = A cos(4.1888t) - 8

B. the amplitude of the function is 0, which means that the mass does not oscillate with any vertical displacement above or below its equilibrium position. The period of the function is already determined to be T = 1.5 s.

How did we get the values?

A. To model the mass's vertical displacement relative to its equilibrium position over time, we can use a cosine function of the form:

y(t) = A cos(ωt) + B

where A is the amplitude, ω is the angular frequency, t is time, and B is the equilibrium position. Since the mass is initially pulled down 8 cm below its equilibrium position, we have B = -8 cm.

To determine the amplitude and angular frequency, we can use the fact that the mass oscillates from down to up to down again in 1.5 seconds. The period T of the motion is the time it takes for one complete oscillation, so T = 1.5 s. The angular frequency ω is related to the period by ω = 2π/T, so we have:

ω = 2π/T = 2π/1.5 ≈ 4.1888

Therefore, the equation for the mass's vertical displacement over time is:

y(t) = A cos(4.1888t) - 8

B. The amplitude of the function is the maximum displacement of the mass from its equilibrium position, which is equal to the absolute value of A. To find A, we can use the fact that the mass is pulled down 8 cm below its equilibrium position before being released. At the bottom of its motion, the mass is 8 cm below its equilibrium position, so we have:

y(0) = A cos(0) - 8 = -8

Solving for A, we get:

A = |y(0) + 8| = |(-8) + 8| = 0

Therefore, the amplitude of the function is 0, which means that the mass does not oscillate with any vertical displacement above or below its equilibrium position.

The period of the function is already determined to be T = 1.5 s.

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what is the variable term for for the experetion
1-3m+14

Answers

The variable term in the expression 1 - 3m + 14 is "-3m", where "m" is the variable and "-3" is the coefficient.

In the expression 1 - 3m + 14, the variable term is "-3m".

A variable term is a term in an algebraic expression that contains both a variable and a coefficient.

The variable is "m" and the coefficient is "-3".

The term "-3m" indicates that the variable "m" is multiplied by the coefficient "-3".

The variable term represents a quantity that depends on the value of "m".

You substitute different values for "m", the value of the variable term will change accordingly.

If "m" is equal to 2, then the variable term "-3m" becomes "-3(2)" which is equal to -6.

Similarly, if "m" is equal to -5, then the variable term becomes "-3(-5)" which is equal to 15.

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94 POINTS!!! pls help
The solution to 13x = 78 is x = ___. (Only input whole number)

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

Hey love! x = 6

Step-by-step explanation:

because 13 x 6 = 78

HOPE THIS HELPS!

Answer:

x = 6

Work -

13x = 78

divide 13 on both sides to isolate x. 78 divided by 13 gives us 6, and 13/13 =1.

1 times x is x,  as you can see, we have isolated x on one side. On the other side, we got 6, so x = 6

If y satisfies the given conditions, find y(x) for the given value of x. y'(x) = -2/√x y(9) = 24; x = 4
y(4)=
(Simplify your answer.)

Answers

To find y(x) given y'(x) and y(9) = 24, we can integrate y'(x) with respect to x to obtain y(x) up to a constant of integration. Then we can use the given initial condition y(9) = 24 to determine the specific value of the constant.

First, let's integrate y'(x) = -2/√x with respect to x:

∫y'(x) dx = ∫(-2/√x) dx

Using the power rule of integration, we have:

y(x) = -4√x + C

Now, we can use the initial condition y(9) = 24 to find the value of the constant C:

y(9) = -4√9 + C

24 = -4(3) + C

24 = -12 + C

C = 36

Therefore, the specific equation for y(x) is:

y(x) = -4√x + 36

To find y(4), we substitute x = 4 into the equation:

y(4) = -4√4 + 36

y(4) = -4(2) + 36

y(4) = 28

Hence, y(4) = 28.

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