100 Points! Geometry question. Photo attached. Name the angle of depression and the angle of elevation in each figure. Thank you!

Answer:

abdul has 15

keiko has 22

bob has 45

Step-by-step explanation:

82= a+7+3a+a

75=a+3a+a

75=5a

15=a

15=abdul

15+7=keiko

3(15)=bob

Using the Factor Theorem, the polynomial function that could be represented by the graph is:

f(x) = 3x² - 18x + 24.

The Factor Theorem states that a polynomial function with roots(also called zeros) \(x_1, x_2, \codts, x_n\) is given by the rule presented as follows.

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

In which a is the leading coefficient of the polynomial, determining if it is positive(a positive) or negative(a negative).

From the graphed polynomial, the roots are given as follows:

x' = 2, x' = 4.

(roots are the values of x where the function crosses the x-axis).

Hence it is written as follows:

f(x) = a(x - 2)(x - 4)

f(x) = a(x² - 6x + 8)

When x = 3, y = -3, hence the leading coefficient is given as follows:

-3 = a(1)(-1)

a = 3.

Hence:

f(x) = 3x² - 18x + 24.

(maybe your graph is different as the one I gave here, however the procedure is the same, you identify the roots and then build the equation).

The problem is given by the image at the end of the answer.

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The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).

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Answer:

Option C

g/9

Step-by-step explanation:

g ÷ 9

\( = \frac{g}{9} \)

Answer:

a. ⅛

b. ⅜

c. -⅜

Step-by-step explanation:

a. From 0 to -1, there are 8 equal segments. So also from 0 to 1, we have 8 equal segments.

Thus, the length of each segment on the number line would be:

1/8 × 1 = ⅛

Each segment has a length of ⅛ on the numberline.

b. From 0 to Point N, there are 3 segments of equal length.

Therefore, point N represents:

3 × ⅛ = ⅜

c. Opposite of point N would be ⅜ from 0 to the left direction.

Thus, opposite of point N = -⅜

Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7. 

Step-by-step explanation:

the answer is 14 strips of fabric.

The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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Answer

Since 3 is greater than 0 we know that 7.835 is greater than 7.8. We follow the same process to find that 7.35 is less than 7.358. Then we can put the number

There you go I hope that helps and have a great day

Answer:

$7

Step-by-step explanation:

If the total spending is $21, and he bought 3 items, we have to divide 21 by 3 and that makes 7

Hope it helped!

Answer:

7

Step-by-step explanation:

because each item is the same

let the item be 3x=21(given)

so x=21/3

therefore x = 7

come on this is easy

There are 9 CD's can she place on a shelf.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Each shelf is 28 inches long and each CD is 1 3/ inch thick.

Now,

Since, Each shelf is 28 inches long and each CD is 1 3/ inch thick.

Hence, The number of CD's = 28 x 1/3

                                            = 9.33

                                            = 9

Thus, There are 9 CD's can she place on a shelf.

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Clara can reach a height of 2.57 meters when she jumps.

Given information:

The ceiling in Clara’s basement is 2.75 meters high.

When Clara jumps she is 18 centimeters short of being able to touch the ceiling.

We can start by converting the height of the ceiling and Clara's jump to the same units, either meters or centimeters. Let's convert Clara's jump to meters:

18 centimeters = 0.18 meters

Now we can subtract Clara's jump from the height of the ceiling to find how high she can reach:

2.75 meters - 0.18 meters = 2.57 meters

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If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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The function C(x) that represents the cost of a pizza with at least one topping, where x is the number of toppings is C(x) = 9.99 + 1.25x

The domain is x >= 0 and the range is c(x) >= 9.99

The given parameters are:

One topping = 9.99

Additional topping = 1.25 each

We have x to represent the number of toppings

This means that

C(x) = One topping + Additional topping  * x

So, we have

C(x) = 9.99 + 1.25x

We have

C(x) = 9.99 + 1.25x

The smallest number of topping is 0

So, the domain is x >= 0

Substitute 0 for x in C(x) = 9.99 + 1.25x

C(0) = 9.99 + 1.25(0)

This gives

C(0) = 9.99

So, the range is c(x) >= 9.99

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Answer:

x = 23

DBC = 23

ABC = 157

Step-by-step explanation:

angles ABC and CBD are supplementary.

supplementary angles add up to 180.

you can make the following equation

6x + 19 + x = 180

7x + 19 = 180

7x = 180 - 19

7x = 161

x = 161/7

x = 23

substitute x into the equations

DBC = x

DBC = 23

ABC = 6x + 19

ABC = 6 * 32 + 19

ABC = 138 + 19

ABC = 157

Answer:

1 percent, or 20 marbles

Step-by-step explanation:

add all the other percentages and it sums up to 99%. and the other one percent of the marbles is 20.

Answer:

20 marbles

Step-by-step explanation:

61.5 + 27.5 + 10 = 99

this means 1% are neither red, white or blue

1% of 2000 is 20

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

I think 1 is the right answer

Step-by-step explanation:

Answer:

Read explanation

Step-by-step explanation:

Whatever is underlined copy in:

58+3x-13=90, so 3x + 45 = 90

Then 3x=45 and x =15

m<MNQ = 3x -13 = 3(15)-13

                           = 45-13

                           =32

Answer: 2/3yards

Step-by-step explanation:

From the question, we are informed that Jill is making a long cape and that she needs 7 1/3yards of blue fabric for the outside of the cape and that she needs 6 2/3yards of purple fabric for the lining of the cap.

To calculate the yards of blue fabric that'll be needed more than purple fabric,, we subtract 6 2/3 from 7 1/3. This will be:

= 7 1/3 - 6 2/3

= 2/3

She needs 2/3yards of blue fabric more.

Answer:

testable question asks how one change (independent variable) has an effect on something else (dependent variable). Testable questions examine cause and effect relationships. In other words, testable questions look into how an independent variable (IV) affects a dependent variable (DV).

TRUE

A testable hypothesis (or question) asks how the dependent variable has an effect on the independent variable is true.

The given statement is true or false.

A testable hypothesis is a hypothesis that can be proved or disproved as a result of testing, data collection, or experience. Only testable hypotheses can be used to conceive and perform an experiment using the scientific method.

Given that:

Testable question asks how one change (independent variable) has an effect on something else (dependent variable). Testable questions examine cause and effect relationships.

The hypothesis must be worded so that it can be tested in the experiment(s) and it must include both independent and dependent variables. affect change in the dependent variable. depend on changes in the independent variable.

∴ If the independent variable changes, then the dependent variable is affected.

Therefore, a testable hypothesis (or question) asks how the dependent variable has an effect on the independent variable is true.

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Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

Answer:

area = 375.8 ft^2

Step-by-step explanation:

The scale is 2 inches = 5 feet.

The room is 6.5 inches wide in the drawing. We need the real width, x.

2 in./5 ft = 6.5 in./x

2x = 5 * 6.5

2x = 32.5

x = 16.25

The real width is 16.25 ft.

The room is 9.25 inches wide in the drawing. We need the real length, y.

2 in./5 ft = 9.25 in./y

2y = 5 * 9.25

2x = 46.25

x = 23.125

The real length is 23.125 ft.

Area of rectangle = length * width

area = 23.125 ft * 16.25 ft

area = 375.78125 ft^2

area = 375.8 ft^2

Given:

is given in the question.

Answer:

j=1145

Step-by-step explanation:

(3j-5)=3430

3j=3430+5

j=3435÷3

j=1145

hope it helps you