Solve for d.
d^3 + 8 = 0
Write your answers in simplified, rationalized form.

As the point moves along the helix, it traces out a three-dimensional surface in space.The space curve would look like a helix in graph.

1. First, we need to find the vector-valued function r(t) using the given parameter.

2. We can use the parameter x+z=2 to solve for the y-coordinate in terms of t:

y = √(4 − (1+sin t)2 − (1 − sin t)2).

3. We can now substitute this expression into the vector-valued function to obtain:

r(t) = (1+sin t)i+ (√(4 − (1+sin t)2 − (1 − sin t)2))j+ (1-sin)k

4. The space curve represented by the intersection of the surfaces is a helix in a graph.

The space curve represented by the intersection of the surfaces is a helix. It is a three-dimensional curve that can be described by a vector-valued function r(t) with parameter t. The vector-valued function r(t) is given by:

r(t) = (1+sin t)i+ (√(4 − (1+sin t)2 − (1 − sin t)2))j+ (1-sin)k.

The helix can be visualized as a spiral that wraps around a cylinder and is generated by a point travelling around the circumference of the cylinder at a constant speed. This can be observed by noting that the x- and z-coordinates of the vector-valued function are constant and only the y-coordinate changes over time. As the point moves along the helix, it traces out a three-dimensional surface in space.

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Answer:

Step-by-step explanation:

(a).

Within 1 year, there would be 4 payments to be made.

therefore, PMT= \(\frac{P(1+i)}{n} = \frac{2500(1+0.025)}{4*5} =\frac{2562.5}{20} = $128.125\)

(i) 1st payment will be :PMT $128.125

(ii) 2nd payment will be :128.125*(1.025)^1= $131.33

(iii) 3rd payment will be :128.125*(1.025)^2=$134.61

(iv) 4th payment will be :128.125*(1.025)^3=$137.98

Hence the payments are: $128.125, $131.33, $134.61, and $137.98.

(b).

The size of the final payment \(PMT(1+i)^{m-1}\) where m 4 *5= 20

\(=128.125(1+0.025)^{20-1} \\=128.125(1.025)^{19} \\=$204.83\)

Answer:

SOH CAH TOA

The ratios of sine, cosine and tangent.

Step-by-step explanation:

Sine: Opposite / Hypotenuse

Cosine: Adjacent / Hypotenus

Tangent: Opposite / Adjacent

The calculation of this can be done by first determining the future value of the monthly payments of $327.50

The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,

which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.

The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35

This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.

Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.

 for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).

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4 - 6x is linear equation .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

What makes an equation linear?

A linear equation's graph almost always takes the shape of a straight line.

                Definition of a Linear Equation: Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

let the number be =x

        4 - 6x

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Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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                     .......................................................................

3+11×8²

=3+11×64

=3+704

=707

Answer:

707

Concepts:

Order of Operations: PEMDAS

1. Parenthesis

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

Step-by-step Explanation:

Follow the Order of Operations

Step 1: Solve exponents

3 + 11 × 8^2

8^2 = 64

3 + 11 × 64

Step 2: Solve Multiplication

3 + 11 × 64

11 × 64 = 704

3 + 704

Step 3: Add the Terms

3 + 704 = 707

Hence,

3 + 11 × 8^2 = 707

\(distance = |x-y| \\ where \: x \: and \: y \: are \: any \: two \: numbers\)

It doesn't matter which number you put first as long as you don't forget your absolute value.

If you don't want to put the absolute value, the equation becomes:

\(distance = x-y \\ where \: x \: and \: y \: are \: any \: two \: numbers \\ under \: condition \: that \: x > y\)

\(distance = 16 - ( - 8) = 16 + 8 = 24 \\ distance = |16-(-8)|=|16+8|=|24|=24 \\ or \\distance = | - 8-(16)|=| - 8 - 16|=| - 24|=24\)

Answer:

this might be wrong but i believe its 23

a. The percentage of applicants which had scores higher than 13 is 5.82%

b. The percentage of those who entered medical school and had scores between 9 and 11 is 44.81%

In a set with mean µ and standard deviation σ, the z score of a measure x is given by:

Z = x bar - µσ

The z score measures how many standard deviations the measure is from the mean. After finding the z score, we look at the z score table and find the p value associated with this z score. This p value is the probability that the value of the measure is smaller than x. Subtracting 1 by the p value, we get the probability that the value of the measure is greater X.

a.  all applicants have µ = 9.7, σ = 2.1

This probability is subtracted by the p value of 0.9418

1 - 0.9418 = 0.0582

= 5.82%

b. Those who enter medical school have:

µ = 10.5, σ = 1.6

This probability is the p value of Z when

x = 11 subtracted by the p value of Z when X = 9. so,

X = 11

Z = x bar - µσ

Z = 11 - 10.516

Z = 0.31

Z = 0.31 has a p value of 0.6217

X = 9

Z = x bar - µσ

Z = 9 - 10.516

Z = -0.94

Z = -0.94 has a p value of 0.1736

0.6217 - 0.1736 = 0.4481

= 44.81%

Hence we get the required answer.

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Answer:

96

Step-by-step explanation:

Use g00g*e- just type --% of $----.

sorry its censors the word.

Answer:

Chad has: $144

Step-by-step explanation:

First we need to get 40% of 240 which we can do by multiplying 240 by 0.40.

240 * 0.40 = 96

Now we can just take what we got for 40% of 240, and then subtract it from 240.

240 - 96 = 144

Answer:

The answer is commutative and associative.

Step-by-step explanation:

The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

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Answer:

C. -7

Step-by-step explanation:

A rational expression will always be undefined when the denominator = 0 because we can't divide by 0.

-7 + 7 = 0 so -7 is the only number which makes the expression undefined

Answer:

Yow my account is about to be banned

Step-by-step explanation:

Answer:

D. 5i

Step-by-step explanation:

edge 2021

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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Answer:

Hence, Stacy will spin 6,  8.33 times out of her n = 50 attempts.

Step-by-step explanation:

Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

We will estimate the number of times that she spins a 6 as the expected value of this random variable.

Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.

Then , in this case, with n=50 and p=1/6 we expect to have  number of times of having a 6, which is 8.33.

Answer:

no, it is not. 8 < 12.68

Step-by-step explanation:

Divide both sides of the equation by 2:

Apply Ln to both sides:

divide both sides by 3

t= 0.536

the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.the answer is 0.05 < p < 0.1.

To find the p-value for a chi-square test for homogeneity, we need to use the chi-square distribution table with the appropriate degrees of freedom and compare the computed chi-square statistic to the critical value at the desired level of significance.

The degrees of freedom for a chi-square test for homogeneity is given by the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. In this case, we have three populations and one categorical variable with three values, so the contingency table has 3 rows and 3 columns. Therefore, the degrees of freedom is df = (3 - 1) * (3 - 1) = 4.

Using the chi-square distribution table with 4 degrees of freedom and looking up the value of chi-square at 2.05, we can see that the corresponding p-value is between 0.1 and 0.05. Specifically, the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.

Therefore, the answer is 0.05 < p < 0.1.

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You have the following function:

f(x) = (x + 1)²

In order to determine the value of f(2) you replace the value x = 2 in the given function and make the operations, just as follow:

f(2) = (2 + 1)² simplify inside parenthesis

f(2) = (3)² 3² is the same as 3x3=9

f(2) = 9

Hence, the value of the function when x = 2 is f(2) = 9

Answer:

Below

Step-by-step explanation:

A  yes     all values of y

B  yes    slope is undefined for a vertical line

C  no      there is no  y axis intercept for this line

D  yes     the line intercepts the x-axis at x = -2

E   no       the domain is only  x = -2

Answer:

Step-by-step explanation:

In this scenario, the confidence interval represents the possible range of differences in the proportion of employees who skip breakfast when free breakfast is offered and when it's not. A confidence interval that does not include zero indicates that there is statistically significant evidence to suggest a difference in proportions between these two groups.

Therefore, for the first interval (-0.44,-0.16), since it does not include zero, we can be confident that offering free breakfast results in a decrease in the proportion of employees who skip breakfast.

For the second interval (-0.25, 0.05), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

Similarly, for the third interval (-0.23, 0.15), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

So, the correct answer is:

For the interval (-0.44,-0.16), we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

For the intervals (-0.25, 0.05) and (-0.23, 0.15), our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.

The total cost of the fabric that Christine needs for the tablecloths is $90.0.

A rectangle is a figure which has four sides of which opposite sides have equal length.

The area of a rectangle is the amount of space to be covered by the figure in a 2 dimensional plane.

Area of a rectangle = length x width

In the information given, we have;

area of the tablecloth = length x width

                      = 6 x 5/2

                      = 3 x 5

                      = 15

The area of the tablecloth is 15 sq. ft.

But Christine plans to make 1 tablecloth for each 4 seasons of the year.

So that;

total area of tablecloth needed for the year = 15 x 4

                            = 60 sq. ft

Then the fabric costs $1.50 per square foot,

total cost of fabric needed = 60 x $1.5

                                             = $90.0

The total cost of the fabric that Christine needed for the tablecloth is $90.0

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The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

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