The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation h = negative 2 sine (pi (t one-half)) 5. which of the following equations can also model this situation? h = negative 2 cosine (pi t) 5 h = negative 2 cosine (pi (t one-half)) 5 h = 2 cosine (pi t) 5 h = 2 cosine (pi (t one-half)) 5

Answer:

The answer is c. 81.76%

The value of the angle x of the regular octagon is: x = 112.5°

The formula for the Interior angle of a Polygon is:

θ = 180(n - 2)/n

We are given that the polygon has 8 sides. Thus:

θ = 180(8 - 2)/8

θ = 135°

Sum of angles in a triangle is 180° and as such, the base angles of the Isosceles triangle formed is:

base angle = (180 - 135)/2

= 22.5°

Thus:

x = 135 - 22.5

x = 112.5°

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Answer:

D hope this helps :)

Step-by-step explanation:

Answer:

B) formation of a precipitate
E) change in color

Step-by-step explanation:

just did the assignment on e.d.g.e

Answer:

B and E is correct

Step-by-step explanation:

The equation that could represent a balanced hanger B, which is equivalent to hanger A, is: 6x + 3y = 3(3y + x).

Variables, which are alphabets represents unknown values and can be used in creating equations that model a scenario.

For example, in the model shown in the image, x represents the weight of each triangle while y = the weight of each square.

From the first balance, we can rearrange the squares and triangles to create hanger B.

The first equation is: 3(2x + y) = 9y + 3x

The second equation that can be created using the set of shapes would be:

6x + 3y = 3(3y + x)

Therefore, the equation that could represent a balanced hanger B, which is equivalent to hanger A, is: 6x + 3y = 3(3y + x).

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Answer: 2x+y=3y+x

Step-by-step explanation:

The highest rate on increasing is of 12x -6y = -24; Option B is the correct answer.

The options are given in the image attached with the answer

A function is a law that relates a dependent variable and an independent variable.

It is asked among the options given , which is increasing at the highest rate.

To increase at a rate , the value of the slope , m should be > 0

For the Option 1

for a straight line function , the slope is given by

m = ( y₂ -y₁)/(x₂-x₁)

m = ( -3 -3)/(2- (-1)) = -6 /3 = -2

Therefore the function is decreasing

For Option 2

12x - 6y = -24

-6y = -12x -24

y = 2x +4

m = 2 (increasing)

For option 3

m = (-4 + 5)/(2-1) = 1

For Option 4

(8,0) (0,-4)

m = (-4 -0) /(0-8) = 4/8 = 1/2

The highest rate on increasing is of 12x -6y = -24

Therefore Option B is the correct answer.

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Answer:

3\(\sqrt{5}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = \(\sqrt{(-1-5)^2+(1-4)^2}\)

   = \(\sqrt{(-6)^2+(-3)^2}\)

   = \(\sqrt{36+9}\)

   = \(\sqrt{45}\)

   = 3\(\sqrt{5}\) ← exact value

   ≈ 6.71 ( to 2 dec. places )

If your required return is 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, the approximate amount you would be willing to pay for this investment is $16.80.

To determine the present value of the investment, we need to calculate the discounted value of the future cash flows. In this case, the cash flow is $800 per month, and the time period is 40 years, or 480 months.

Using the formula for present value, which is \(PV = CF / (1 + r)^n\), where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods, we can substitute the given values:

PV = $800 / (1 + 0.06/12)\(^(480)\)

Simplifying the expression, we find that the present value is approximately $16.80. This means that if you want to achieve a required return of 6% per year, compounded monthly, you would be willing to pay approximately $16.80 for this investment.

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The volume is left in both speaker cabinets is 1215 cubic inches.

A Cube is a three-dimensional solid shape with six square faces, eight vertices, and twelve edges. It is also described as a regular hexahedron.

Some properties of the cube are-

Now, according to the question;

The side of the cube is given as 9 inches.

Then the volume of the cube will become;

Volume = side³

Volume = 9³ = 729.

A Cube is a three-dimensional solid figure with six square sides. If the face takes up 1/6 of this, then 5/6 is left over for cabinet .

Thus,  5/6×729 = 607.5 cubic inches for just a single speaker, multiplied by two to reach the total of 1215 cubic inches.

Therefore, the volume which is left in both speaker cabinets 1215 cubic inches.

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The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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Answer:

Step-by-step explanation:

credits to numerade

Answer:

11

Step-by-step explanation: 24÷4=6   6+5=11

Answer:

14

Step-by-step explanation:

because 6+6 is 12 and add 2 is 14

Answer:

\(\sqrt{2\left(4+\sqrt{15}\right)}\)

Step-by-step explanation:

\(\sqrt{8+2\sqrt{15}}\)

Factorize

\(=\sqrt{2\left(4+\sqrt{15}\right)}\)

Since the output of the sigmoid function is 0.64, the predicted probability of the observation being malignant is 0.64. We need to set a threshold probability to classify the observation as malignant or benign.

If we set the threshold probability at 0.5, the observation would be classified as malignant, since the predicted probability (0.64) is greater than the threshold probability. However, the choice of threshold probability depends on the specific problem and the costs associated with false positives and false negatives. So, the predicted category would be malignant if the threshold probability is set at 0.5.

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Answer:

The width is 72

Step-by-step explanation:

sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Answer: Each friend got 3 cookies.

Step-by-step explanation:

Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.

Answer:

Step-by-step explanation:

So 7 of his friends came to the party and 3 cookies were left for himself. To find how many cookies each friend got, first subtract the 3 cookies Johann has from the total.

24-3=21

Then divide 21 by the number of friends.

21÷7=3

So each friend got 3 cookies.

Answer:

3.2

Step-by-step explanation:

3.2/1

Answer:

0.00375 meters per second,

Step-by-step explanation:

0.00375 meters per second, we know this is the answer because, 4.25*60=255 and 255/11.2=0.00375

Answer:

yes this is correct

Step-by-step explanation:

you could just divide by -1 on both sides to get the answer

Answer:

A: $7.50 per cap

Step-by-step explanation:

IM BACCCCKKKKK XD

we use the slope formula of y2-y1/x2-x1

37.5-22.5/5-3

15/2

7.5

So he gets $7.50 per cap

Hopes this helps please mark brainliest

Answer: He gets $7.50 per cap.

Step-by-step explanation:

If at 3 caps he got $22.50, we'll need to divide $22.50 by 3 to get the cost for a single cap.

$22.50/3 = $7.50

This means that he gets $7.50 per cap.

The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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The distance between the points (9, -1) and (3, 3) is 2√13 in simplest radical form.

To find the distance between the two points (9, -1) and (3, 3), we can use the distance formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates of the points, we have:

d = √((3 - 9)² + (3 - (-1))²)

d = √((-6)² + (4)²)

d = √(36 + 16)

d = √52

Now, let's simplify the square root:

d = √(4 * 13)

d = 2√13

Therefore, In its simplest radical form, the distance between the points (9, -1) and (3, 3) is 2√13.

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The proportion of scores in a standard Normal Distribution that are greater than 1.25 is closest to a. a is 0.1056.

The proportion of scores in a standard Normal Distribution that are greater than 1.25 is:

\(P(Z > 1.25) = 1 - P(Z < 1.25)\)

Using a standard normal distribution table or a calculator.

The area to the left of 1.25 is 0.8944, so:

\(P(Z > 1.25) = 1 - P(Z < 1.25) = 1 - 0.8944 = 0.1056\)

The closest answer choice is (a) 0.1056.

The percentage of scores in a normal distribution with a standard deviation larger than 1.25 is:

either a calculator or a normal distribution standard table.

0.8944 is the region to the left of 1.25, so:

The nearest possible response is (a) 0.1056.

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Answer:

3.47 mm

Step-by-step explanation:

The given statement " chi-square tests are used for testing hypotheses of the association between two categorical values. " is true

The term chi square test defines if there is a significant relationship between two nominal variables.  

Here we have given the statement, chi-square tests are used for testing hypotheses of the association between two categorical values.

And we need to find whether the statement is true or not.

As per the definition of chi square test, we know that the frequency of each category for one nominal variable is compared across the categories of the second nominal variable.  

Here we also know that the data can be displayed in a contingency table where each row represents a category for one variable and each column represents a category for the other variable.  

Therefore, based on these facts the given statement is true.

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Answer:

-2, 4, 6, 8

6, 4, 2 ,0

Answer:

12 months

Explanation:

Given the function that models the total chacrge of a company as T = 35.00 + 18.75m where;

T is the total charges,

m is the number of months of storage

Given

T = $260.00

we are to find the value of m

Substitute

260 = 35 + 18.75m

18.75m = 260 - 35

18.75m = 225

m = 225/18.75

m = 12

Hence it will take 12 months to cost a new custimer $260.00