NO LINKS!!! URGENT HELP PLEASE!!!

Please help me with #20, 22, and 24

NO LINKS!!! URGENT HELP PLEASE!!!Please Help Me With #20, 22, And 24

Answers

Answer 1

Answer:

see the work below

Step-by-step explanation:

20.)    x = √32²+32² = √2048 = 45.25

y = 32(sin60) = 27.7

z = 32(cos60) = 16

22.)   x = 7√3 / cos60 = 24.25 = 14√3

y = 14√3 / tan30 = 42

sin30 = 14√3 / (z+7√3)

z + 7√3 = 14√3 / sin30

z = 14√3/√sin30 - 7√3 = 36.37 = 21√3

24.) z = 18(tan30) = 10.4

h = √10.4² + 18² = √432 = 20.785

x = y

2x² = 20.785²

x = √20.785²/2 = 14.7

y = 14.7

Answer 2

Answer:

Question 20:

x = 32√2 unitsy = 16√3 unitsz = 16 units

Question 22:

x = 14√3 unitsy = 42 unitsz = 21√3 units

Question 24:

x = 6√6 unitsy = 6√6 unitsz = 6√3 units

Step-by-step explanation:

45-45-90 triangle

A 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2.  Therefore, the formula for the ratio of the sides is b : b : b√2 where:

b is each side opposite the 45 degree angles (legs).b√2 is the side opposite the right angle (hypotenuse).

30-60-90 triangle

A 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio  1 : √3 : 2.  Therefore, the formula for the ratio of the sides is c: c√3 : 2c where:

c is the shortest side opposite the 30° angle.c√3 is the side opposite the 60° angle.2c is the longest side (hypotenuse) opposite the right angle.

Question 20

Side x is the hypotenuse of a 45-45-90 triangle with congruent legs measuring 32 units. Therefore b = 32.

[tex]\implies x=b\sqrt{2}=32\sqrt{2}\; \sf units[/tex]

Side y is the side opposite the 60° angle in a 30-60-90 triangle with a hypotenuse of 32 units. Therefore, 2c = 32 so c = 16.

[tex]\implies y = c\sqrt{3}=16\sqrt{3}\; \sf units[/tex]

Side y is the side opposite the 30° angle in the same 30-60-90 triangle.

[tex]\implies z=c = 16\; \sf units[/tex]

Question 22

Side x is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 7√3 units. Therefore c = 7√3.

[tex]\implies x=2c=2 \cdot 7 \sqrt{3}=14\sqrt{3}\; \sf units[/tex]

Therefore, other leg of the same triangle (opposite the 60° angle) measures c√3 = 7√3 · √3 = 21 units.

Side y is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 21 units. Therefore c = 21.

[tex]\implies y=2c=2 \cdot 21 = 42\; \sf units[/tex]

Side z is the leg of the same 30-60-90 triangle opposite the 60° angle.

[tex]\implies z=c\sqrt{3}=21\sqrt{3}\; \sf units[/tex]

Question 24

Side z is the side opposite the 30° angle in a 30-60-90 triangle with the other leg (opposite the 60° angle) measuring 18 units. Therefore, c√3 = 18, so c = 18/√3 = 6√3 units.

[tex]\implies z=c = 6\sqrt{3}\; \sf units[/tex]

Therefore, the hypotenuse of the same triangle measures 2c = 12√3 units.

Sides x and y are the congruent legs of a 45-45-90 triangle with hypotenuse measuring 12√3 units. Therefore b√2 = 12√3, so b = 6√6.

[tex]\implies x=6 \sqrt{6}\; \sf units[/tex]

[tex]\implies y=6 \sqrt{6}\; \sf units[/tex]

NO LINKS!!! URGENT HELP PLEASE!!!Please Help Me With #20, 22, And 24
NO LINKS!!! URGENT HELP PLEASE!!!Please Help Me With #20, 22, And 24
NO LINKS!!! URGENT HELP PLEASE!!!Please Help Me With #20, 22, And 24

Related Questions

Find the x and y intercept
Find the vertical and horizontal asymptotes
s(x)=6/ x^2 - 5x - 6

Answers

Answer:

To find the x and y intercepts, we set x and y to zero respectively:

x-intercept: setting y = 0 gives us 6/(x^2 - 5x - 6) = 0, which has no real solutions.

y-intercept: setting x = 0 gives us s(0) = 6/(-6) = -1.

To find the vertical asymptotes, we set the denominator equal to zero and solve for x:

x^2 - 5x - 6 = 0

(x - 6)(x + 1) = 0

This gives us two vertical asymptotes at x = 6 and x = -1.

To find the horizontal asymptote, we need to look at the behavior of the function as x approaches infinity and negative infinity. As x becomes very large in magnitude, the terms involving x^2 become much larger than the terms involving x or the constant term, and so we can ignore those terms. This gives us:

s(x) ≈ 6/x^2 as x → ±∞

Therefore, the horizontal asymptote is y = 0.

In summary:

x-intercept: none

y-intercept: (0, -1)

vertical asymptotes: x = 6 and x = -1

horizontal asymptote: y = 0

If you have anymore questions, feel free to comment and I will answer them 8-5 I am on.

Step-by-step explanation:

For the truncated cuboid of height 3 m, top 5 m, base 8 m and side length of 1.5 m. Find the volume

Answers

Therefore, the volume of the truncated cuboid is approximately 68 + 4*√(30) cubic meters.

What is volume?

Volume is a measure of the amount of space occupied by a three-dimensional object. It is the amount of three-dimensional space enclosed by the boundaries of an object. Volume is typically measured in cubic units, such as cubic meters (m³) or cubic centimeters (cm³).

Here,

The truncated cuboid is a solid figure that is obtained by cutting off the top of a rectangular prism (cuboid) with a plane that is parallel to the base. The formula for the volume of a truncated cuboid is:

V = h/3 * (A + √(A*B) + B)

where V is the volume, h is the height of the truncated portion, A is the area of the top face, and B is the area of the base face.

In this case, the height of the truncated portion is 3 m, the top face has an area of 5 m x 8 m = 40 m², and the base face has an area of 8 m x 1.5 m = 12 m². Therefore:

A + B = 40 + 12 = 52 m²

√(AB) = √(4012) = √(480) = 4*√(30)

Substituting these values into the formula, we get:

V = 3/3 * (52 + 4√(30) + 12)

V = 68 + 4√(30)

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Beverly has a bag of marbles that weighs 30 grams. She knows that each marble weighs 1.5 grams and the bag weighs 1.5 grams. Which equation could she use to determine how many marbles are in the bag? Select all that apply. (1.5)x + 1.5 = 30 30 – x = 2(1.5) (1.5)(30) = 1.5x 1.5 + x = 30 1.5x = 30 – 1.5

Answers

(1.5)x + 1.5 = 30 and 1.5x = 28.5 are the correct equations that Beverly could use to determine how many marbles are in the bag.

How to determine the equations of the marbles

Let x be the number of marbles in the bag.

Each marble weighs 1.5 grams and the bag weighs 1.5 grams.

Therefore, the total weight of the marbles and the bag is 1.5x + 1.5 grams.

But we know that the total weight is 30 grams.

So, we can write the equation:

1.5x + 1.5 = 30

Simplifying this equation, we get:

1.5x = 28.5

Therefore, the number of marbles in the bag is x = 19.

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The gas mileages​ (in miles per​ gallon) for cars are shown in the frequency distribution. Approximate the mean of the frequency distribution.
Gas Mileage
​(in miles per​ gallon)
Frequency

Question content area bottom
Part 1
The approximate mean of the frequency distribution is

enter your response here.

Answers

The approximate mean of the frequency distribution is of 35.2 miles gallon.

How to calculate the mean of a data-set?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

As we are given a frequency distribution, we take the midpoint of each interval, and thus the sum of the observations is given as follows:

10 x 30 + 12 x 35 + 3 x 40 + 4 x 45 = 1020.

There are 29 observations, hence the mean of these observations is given as follows:

1020/29 = 35.2 miles gallon.

Missing Information

The frequency distribution is given as follows:

28-32 10

33-37 12

38-42 3

43-47 4

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Simplify (3x3y2 − 5xy4 − 2xy) + (2x3y2 + 5xy4 + 3xy). 5x3y2 − 2xy4 + xy 5x3y2 − 2xy4 − 5xy 5x3y2 + xy 5x3y2 − xy

Answers

After Simplifying, we get:  [tex]5x^3y^2 + xy - 2xy^4[/tex]

What is pοlynοmials ?

Pοlynοmials are algebraic expressiοns made up οf cοefficients and variables. Occasiοnally, variables are referred tο as indeterminates.

Fοr pοlynοmial expressiοns, additiοn, subtractiοn, multiplicatiοn, and pοsitive integer expοnents are all pοssible; hοwever, divisiοn by variable is nοt. x²+x-12 is an illustratiοn οf a single-variable pοlynοmial. Three terms are invοlved in this example: x², x, and -12.

The Greek wοrds "pοlynοmial" and "nοminal," which tοgether mean "many terms," are the sοurce οf the English wοrd pοlynοmial. There is nο limit tο the number οf terms that a pοlynοmial can have.

When we add the twο pοlynοmials term by term, we get:

[tex](3x^3y^2 - 5xy^4 - 2xy) + (2x^3y^2 + 5xy^4 + 3xy) = 3x^3y^2 + 2x^3y^2 - 5xy^4 + 5xy^4 - 2xy + 3xy[/tex]

Simplifying, we get: [tex]5x^3y^2 + xy - 2xy^4[/tex]

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Answer:

5x^3y^2+xy (C)

Step by Step:

(3x^3y^2 − 5xy^4 − 2xy) + (2x^3y^2 + 5xy^4 + 3xy) =

3x^3y^2 − 5xy^4 − 2xy + 2x^3y^2 + 5xy^4 + 3xy =

(3 + 2)x^3y^2 + (-5 + 5)xy^4 + (-2 + 3)xy =

5x^3y^2 + xy

hope this helps (btw it's C)

Find the probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour.

Answers

The probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour is given as follows:

0.0006 = 0.06%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The parameters for this problem are given as follows:

[tex]\mu = 4.2, \sigma = 0.8, n = 42, s = \frac{0.8}{\sqrt{42}} = 0.1234[/tex]

The probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour is equivalent to the probability of a sample mean between 193.2/42 = 4.6 and 201.6/42 = 4.8.

The probability is the p-value of Z when X = 4.8 subtracted by the p-value of Z when X = 4.6, hence:

Z = (4.8 - 4.2)/0.1234

Z = 4.86

Z = 4.86 has a p-value of 1.

Z = (4.6 - 4.2)/0.1234

Z = 3.24

Z = 3.24 has a p-value of 0.9994.

Hence:

1 - 0.9994 = 0.0006 = 0.06%.

Missing Information

The missing section is given by the image presented at the end of the answer.

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What is the surface area of the square pyramid?
______________________________________
(reporting wrong/spam answers)
(giving brainliest to the correct answer)
______________________________________

Answers

Answer:

105 in

Step-by-step explanation:

The area of the square pyramid = 4x( the area of the triangle) + the area of the squareArea of the triangle: the rule of multiplying the height divided by two

4×(8×5) =80

2

5×5=25

25+80=105

Please help!! Correct answer gets brainliest!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First, the shape is wrong

2(8×3)+2(8×4)+2(3×4)=

2(24)+2(32)+2(12)=

48+64+24=136

How do I solve the satellite question?
What is the perimeter of ABCD?

Answers

Answer 36

(7+6)+(6+3)+(2+2)+(7+2)=13+9+9+9=22+5+9=

36

Cindy is evaluating the expression -5m - 31 for
-2p + r
m = 1, n.= -4, p = -3, and r = -2. Her work is
shown below.
=5m - 31 =
-5(1) - 3(-4)
-2p + r
=2(-3) + (-2)
= 끌=-끔=-4
a. What error did Cindy make in her computation?
b. What is the correct answer?

Answers

The correct answer for the expression is -5(1) - 3(-4) = 7 and -2p + r = 4.

What is substitution method?

The algebraic approach to solving simultaneous linear equations is known as substitution technique. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.

The given expression is: -5m - 3n for m = 1, n.= -4 and -2p + r for p = -3, and r = -2.

The correct steps are:

For, -5m - 3n substitute the value of m = 1 and n = -4:

-5(1) - 3(-4)

-5 + 12 = 7

For -2p + r:

-2(-3) + (-2)

6 - 2 = 4

Hence, the correct answer for the expression  is -5(1) - 3(-4) = 7 and -2p + r = 4.

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5x[tex]11ab^{2}(2a^5b^4)[/tex]

Answers

Hence,[tex]110a^6b^6[/tex] is the simplified expression as by multiplying 5x11 using the distributive property .

what is expression ?

A mathematical expression seems to be a combination of digits, symbols, and operators (like +, -,, and ) that denotes a relation or quantity. A single figure or variable can constitute an expression, as can a collection of several numbers, constants, and operators. It is possible to depict mathematical connections, functions, and processes using expressions. There are various categories into which expressions can be divided, including numerical, algebraic, polynomial, rational, and exponential expressions. These can be assessed by carrying out the relevant operations in the mathematical operation order, i.e., parentheses operations first, multiplication or division second, addition or subtraction third.

given

[tex]5x11ab^2(2a^5b^4)[/tex]

We may multiply 5x11 using the distributive property, and then multiply the variables using exponentiation rules to simplify the formula

[tex]5x11ab^2(2a^5b^4):[/tex]

[tex]55ab^2(2a^5b^4)[/tex] is equal to [tex]5x11ab^2(2a^5b^4)[/tex]

= [tex]110a^(1+5)b^(2+4)[/tex] (using the product rule of exponents)

= [tex]110a^6b^6[/tex]

Hence,[tex]110a^6b^6[/tex] is the simplified expression as by multiplying 5x11 using the distributive property .

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What is the surface area?
9 in
9 in
9 in
square inches

Answers

Answer:

The surface area of an object is the total area of all its faces. For a cube with sides of length 9 inches, the surface area can be calculated as follows:

The cube has six faces, all of which are identical squares.

The area of one square face is 9 inches x 9 inches = 81 square inches.

Therefore, the total surface area of the cube is 6 x 81 square inches = 486 square inches.

So the surface area of a cube with sides of 9 inches is 486 square inches.

DIVIDE 3000 RUPEES AMONG TEENA AND BEENA SO THE THEY GET 40% AND 60% RESPECTIVELY

Answers

Answer:

To divide 3000 rupees between Teena and Beena so that they get 40% and 60% respectively, we need to follow these steps:

Step 1: Find the total percentage that Teena and Beena will receive together:

40% + 60% = 100%

This means that Teena and Beena will receive 100% of the total amount, which is 3000 rupees.

Step 2: Calculate the amount that Beena will receive:

60% of 3000 rupees = 0.6 x 3000 = 1800 rupees

Step 3: Calculate the amount that Teena will receive:

40% of 3000 rupees = 0.4 x 3000 = 1200 rupees

Therefore, Beena will receive 1800 rupees, while Teena will receive 1200 rupees

A used car costs $3450 at present. This is 60% of the cost 4 yr ago. What was the cost of the car 4 yr ago?

Answers

Using arithmetic operation it is obtained that the cost of the car 4 years ago was $5750.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Let C be the cost of the car 4 years ago.

According to the problem, the current cost of the car is 60% of the cost 4 years ago, so we can write -

3450 = 0.6C

Use the arithmetic operation of division -

To solve for C, we can divide both sides of the equation by 0.6 -

C = 3450/0.6

C = 5750

Therefore, the cost of the car 4 years ago was $5750.

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If f left parenthesis x right parenthesis equals x minus 2 and g left parenthesis x right parenthesis equals 2 x minus 6, then g left parenthesis 4 right parenthesis divided by f left parenthesis 3 right parenthesis = __________.

a.)
2

b.)
1

c.)
3

d.)
0

Answers

The value g left parenthesis 4 right parenthesis divided by f left parenthesis 3 right parenthesis is 2.

What is parenthesis?

Parenthesis, also known as round brackets, are a type of punctuation used in writing to enclose additional information within a sentence that is not essential to the meaning of the sentence, but can provide clarification, emphasis, or further explanation. They are usually shown as two curved lines facing each other, like this: ().

For example, consider the sentence: "The concert, which was held at the arena last night, was sold out (as expected)." The words "as expected" are enclosed in parentheses, indicating that they are not necessary to the main meaning of the sentence, but provide additional information that may be of interest to the reader.

Parentheses can also be used to enclose mathematical equations, citations, or references in writing.

In this problem, we first need to substitute the given values of x in the functions f(x) and g(x).

f(x) = x - 2

f(3) = 3 - 2 = 1

g(x) = 2x - 6

g(4) = 2(4) - 6 = 2

So, [tex] \frac{g(4)}{f(3)} = \frac{2}{1} = 2[/tex]

Therefore,the value of g(4)/f(3) is 2.

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PLEASE HELPPPPP
THANKS ​

Answers

The value of x =8
Explanation:
Height of a cylinder = volume/ (pi x radius^2)
Volume= 628m^3
pi=3.14
Radius = 5^2 = 25
Height = 628/ 3.14x25
=8

Does A (1,2) and A prime (5,12) represent a dilation? Why or why not?

Answers

Hence, in response to the provided question, we can say that As a result,  equation  A(1,2) and A'(5,12) are not dilations.

What is equation?

An algebraic equation is a method of connecting two quotes by using the equals symbol (=) to express equality. In algebra, an explanation is a definitive expression that verifies the equivalency of two formula. For example, the identical character divides the numbers 3x + 5 and 14. A linear equation might be used to recognize the connection that existing between the texts written on separate sides of a letter. The product and application both frequently the same. 2x - 4 equals 2, for example.

To evaluate if the points A(1,2) and A'(5,12) reflect a dilation, we must first determine the dilation's scale factor.

Let's use the given points to compute the scale factor:

(length of A' A) / scale factor (length of A)

A's length A [tex]=\ sqrt[(5-1)2 + (12-2)2] = \sqrt[16^2 + 10^2] =\ sqrt(296) (296)[/tex]

A's length is one.

[tex](\sqrt(296)) / 1\\\sqrt(x) = scale factor (296)[/tex]

As a result, the scaling factor is not an integer. That is, the transformation from point A to point A' is not a dilation with a whole number scale factor.

As a result, A(1,2) and A'(5,12) are not dilations.

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QUESTION 5 1 POINT
If cost is represented by C(x) = 3.7x + 9,000 and revenues are represented by R(x) = 4.6x, which equation could be
used to find the break-even point?

Answers

Answer:

The function that represents the company's profits is [tex]P(x)=0.9x-9,000[/tex]

Step-by-step explanation:

We are given

The costs of a company are represented by the function

[tex]C(x)=3.7x+9,000[/tex]

Its revenues are represented by the function

[tex]R(x) = 4.6x[/tex]

we know that

[tex]\text{Profit = Revenue - Cost}[/tex]

[tex]P(x)=R(x)-C(x)[/tex]

now, we can plug

[tex]P(x)=4.6x-(3.7x+9,000)[/tex]

now, we can simplify it

[tex]P(x)=0.9x-9,000[/tex]

So,

the function that represents the company's profits is [tex]P(x)=0.9x-9,000[/tex]

The equation used to find the break-even point is 0.9x - 9000.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

The costs of a company are represented by the function

C(x) = 3.7x + 9,000

and, revenues function

R(x) = 4.6x

For Break even point

Profit = Revenue - cost

P = 3.7x + 9000 - 4.6x

P = 0.9x - 9000

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Given: trap. SPQR with SP || QR ; MN is the median of the trap. m

Answers

Answer: Without additional information about the trap, it is not possible to determine the value of m or any other measurements of the shape. Could you please provide more information or context for the problem?

NEED HELP 35 POINTS!
Find x.
5 in.
8 in.
x
15 in.

Answers

Answer:

The answer is 24 in

Step-by-step explanation:

This solution is for "SIMILAR TRIANGLES";

Let us letter the shape starting from left to right A-B-C-D-E

Angle A is similar to Angle E, so is Angle B similar to Angle D, that is, "Alternate interior angles" while Angle ACB is similar to Angle DCE, that is, "Vertical Angles";

Line AB = 5 in is parallel to line DE = 15 in

So, K = DE / AB = 15 / 5 = 3

Line CD = K * CB = 3 * 8 = 24 in

Write an equation(any form) for the quadratic graphed below:

Answers

Answer:

[tex]y = -2(x + 3)^{2} + 3[/tex]

Step-by-step explanation:

The equation for a quadratic graph can be expressed in the Vertex form:

[tex]y = a(x-h)^{2} + k[/tex]

Where:

[tex](h, k)[/tex] = Vertex of the parabola

        = Extreme point of the parabola

Step I:
By reading from the graph:

    [tex](h, k)[/tex]  = [tex](-3, 3)[/tex]

Substitute the values of h and k in the above equation:

[tex]y = a[x- (-3)]^{2} + (3)[/tex]

[tex]y = a(x + 3)^{2} + 3[/tex]


Step II:

Determine a:

Based on the shape of the graph (which is an upside down U), the value of a will be negative:

Count one unit to the right from the vertex and see how far do you go down to touch the graph:

From the graph:

It seems you need to move 2 units down

∴a = [tex]-2[/tex]


Step III:
Substitute this value of a in the above equation:

[tex]y = -2(x + 3)^{2} + 3[/tex]

One can also find the interest rate of the uneven cash flow stream with a financial calculator and solving for the internal rate of return (IRR) using the IRR key. Quantitative Problem: You own a security with the cash flows shown below. 0 1 2 3 4 0 690 365 220 330 If you require an annual return of 12%, what is the present value of this cash flow stream? Do not round intermediate calculations. Round your answer to the nearest cent. $

Answers

Answer:

To solve this problem, we need to find the present value of the cash flow stream using a discount rate of 12%. We can use the present value formula:

PV = CF1/(1+r)^1 + CF2/(1+r)^2 + CF3/(1+r)^3 + CF4/(1+r)^4

where PV is the present value, CF1, CF2, CF3, and CF4 are the cash flows at time 1, 2, 3, and 4 respectively, and r is the discount rate.

Substituting the values given in the problem, we get:

PV = 690/(1+0.12)^1 + 365/(1+0.12)^2 + 220/(1+0.12)^3 + 330/(1+0.12)^4

PV = 690/1.12 + 365/1.2544 + 220/1.4049 + 330/1.5735

PV = 616.07 + 290.76 + 156.51 + 209.38

PV = 1272.72

Therefore, the present value of the cash flow stream is $1,272.72.

Step-by-step explanation:

Without using a calculator, compute the sine and cosine of
by using the reference angle. What is the reference angle?
degrees.

Answers

The reference angle is given as 45 degrees

the angle is in the 4th quadrant

sin 315 = - sqrt(2) / 2

cos 315 = sqrt(2) / 2

How to solve for the reference angle

We have θ = 315

θ is seen to lie between 270 degrees and 360 degrees in the 4th quadrant

In the fourth quadrant the reference angle has been solved by:

360 - θ

360 - 315

= 45 degrees

The reference angle is 45 degrees

sin 315 = sin( 360 - 45)

= [tex]-\frac{\sqrt{2} }{2}[/tex]

= - sqrt(2) / 2

cos 315 = cos (360 - 45)

= [tex]\frac{\sqrt{2} }{2}[/tex]

= sqrt(2) / 2

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If you multiply a certain number by 5, and then subtract 3, the answer is 17. Find the number.​

Answers

Answer:

The number is 4

Step-by-step explanation:

Let us make the unknown number xMake the question an equation{5x-3=17}Solve the equation(5x-3=17)Collect like terms (5x= 17+3)

5x=20

Divide both sides by the coefficient of x

5x/5=20/5

x=4

Step-by-step explanation:

so let the unknown be x

x+5-3=17

x+2=17

so then you carry +2 over to the left hand side which collecting of like terms

so we have

x=17-2

x=15

so therefore the unknown value x is 15

to check

we substitute 15 for x in the equation

let's go

so we have

15+5-3=17

now using this solve it .

I believe u can do it

or I just do it

so we hv the unknown to be x

x*5-3=17

5x-3=17

5x=17+3

5x=20

x=20/5

x=4

If this figure was rotated around the x-axis, what would the height be? The radius?

Answers

The height and the radius of the figure will remain unchanged as the figure is being just rotated around the axis and not transformed.

What is a transformation?

A function transformation "moves," "resizes," or "reflects" the parent function's graph, depending on the case. Function transformations can be broadly divided into three categories:

Translation

Dilation

Reflection

Dilation is the only one of these changes that modifies the original shape's size; the other two just change the shape's placement.

Here in the question,

The figure is being rotated not dilated so the dimensions of the new figure will remain the same.

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Dylan has a pitcher with 1.65 L of orange juice. He pours out 0.2 L
of the juice. Then he adds some sparkling water to the pitcher to
make orangeade. He ends up with 1.9 L of orangeade. Solve the
equation 1.65 -0.2 + x = 1.9 to find the amount of sparkling
water, x, Dylan adds to the pitcher. Show your work.

Answers

Answer:

Step-by-step explanation:

fork knife

determine the solution for the system of equation -2y=-6x-18 3x-4y=27 ( , )

Answers

The solution for the system of equation -2y=-6x-18 3x-4y=27 is (x, y) = (-3, 9).

What is system?

A system is an organized set of components that work together to achieve an overall goal. It could be a physical system, such as an automobile, or an abstract system, such as an economic system.

The first step is to isolate one of the variables in one of the equations. To do this, we can multiply both sides of the first equation by -3. This will give us: 6y = 18x + 54.
Next, we need to subtract this equation from the second equation. Doing so gives us: 3x - 6y = -27.
Now we can isolate the variable y. To do this, we can divide both sides of the equation by -6. This will give us: y = -3x - 9.
We have now isolated the variable y in both equations, so we can substitute y = -3x - 9 in the first equation. Doing so gives us: -2(-3x - 9) = -6x - 18.
We can then simplify this equation to get: 6x + 18 = -6x - 18.
Finally, we can solve this equation for x. Doing so gives us x = -3. We can then substitute this value into either equation to find the value of y: y = -3(-3) - 9 = 9.
Therefore, the solution for the system of equation -2y=-6x-18 3x-4y=27 is (x, y) = (-3, 9).

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Thabo travelled 95 kilometres in 2 hours. If he keeps going at the same rate, how long will it take him to go the remaining 165 kilometres of her trip?​

Answers

Answer: Velocity,  v= distance/time

Given: distance=95km & time= 2 hours

Velocity= 95/2 = 47.5km/hour

Step-by-step explanation:

Now, Distance= 165 km and we got velocity= 47.5km/hour

                          = 47.5 =165/time

Time taken =      165/47.5= 3hours and 50 minutes.

Therefore, Time taken to remaining 165 km of her trip is 3hours and 50 minutes.

Two spinners-One 5 and one 6. What is the probability that you get the same numbers as a previous spin?

Answers

Answer: Since the spinners have 5 and 6 numbers respectively, the total number of outcomes is 5 x 6 = 30.

If we get the same number as a previous spin, it means that the first spin is irrelevant, and we only care about the second spin. Therefore, the probability of getting the same number as a previous spin is the same as the probability of getting any specific number on the second spin, which is 1 out of 6.

Therefore, the probability of getting the same number as a previous spin is 1/6, or approximately 0.17 to two decimal places.

Step-by-step explanation:

The sum of two numbers is 22. The difference of the two numbers is 0. What are the two numbers?

Answers

Answer:

11

Step-by-step explanation:

because 11+11=22 so there are no different with two 11s

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