Select the correct answer. The graph below shows the height of a seat on a Ferris wheel as the Ferris wheel goes through its rotation. The function describing this graph is a transformation of the parent sine function, y=sin(x). Which value best describes the maximum of the transformed function?

Answer:

x = -2/7

Step-by-step explanation:

The excluded values of the given expression are all the values of x that will make the denominator (7x + 2) = 0. This is because you cannot divide by 0...at least in algebra.

1. 7x + 2 = 0

7x = -2

x = -2/7

Therefore, x = -2/7 is the excluded value.

Answer:

3rd option

Step-by-step explanation:

[tex]\frac{14x}{7x+2}[/tex]

the denominator cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the value that x cannot be.

7x + 2 = 0 ( subtract 2 from both sides )

7x = - 2 ( divide both sides by 7 )

x = - [tex]\frac{2}{7}[/tex] ← excluded value

[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Volume of a rectangular prism is ~

[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]

So, the correct choice is B

Answer :

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}= (7) {}^{2} + (8 {)}^{2} }}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=49 +64}}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=113 }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x= \sqrt{113} }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x \approx10.63 }}} \\ [/tex]

Therefore,

Answer:

y = x + -5

Step-by-step explanation:

Solution

To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):

(1, -4):

(2, -3):

Thus, the equation is y = x + (-5).

Step-by-step explanation:

6) The sum of the length of any two sides of a triangle is always equal to the third side.

Option C 3,4,7

7) The sum of the length of any two sides of a triangle is always equal to the third side.

Option B 5 units

8) The sum of the length of any two sides of a triangle is always equal to the third side.

Option D 13 units

9) The sum of the length of any two sides of a triangle is always equal to the third side.

Option A 5<x<13

Answer:

Variance

Step-by-step explanation:

Biased estimators ar ethe values in which the calculated value is less than the estimated values .

For statistics sector this word is used.

Mean and medians are standards and unbiased estimators .

Option A

In between: variance, proportion, median and mean, variance is considered a biased estimator.

An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.

Because they are centered on parameters, the sample percentage (p) and sample mean (x) are both unbiased estimators.

When the population is normal, the sample median is a fair estimate of the population median. It is untrue that the sample median is a fair estimator of the population median for a broad population, nevertheless. When the population is not symmetric, the sample mean is a biased estimator of the population median.

A biased estimate of the population variance is the sample variance.

Therefore, a biased estimator is variance.

To learn more about the biased estimator;

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Check the picture below, the assumption being that the 6ft line is perpendicular to the 18ft line and thus making a right-triangle.

now, if we just get the whole area of the containing parallelogram and then get the area of the triangle and subtract it from that of the parallelogram's, what's leftover is the area we didn't subtract, the shadead area.

[tex]\stackrel{ \textit{\LARGE Areas}}{\stackrel{parallelogram}{(18)(10)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(18)(6)}}\implies 180~~ - ~~54\implies 126[/tex]

Answer:

1/2 < 3/5 < 2/3 < 5/6

Step-by-step explanation:

Using the given inputs:

1/2 5/6 2/3 3/5

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

1/2 5/6 2/3 3/5

15/30 25/30 20/30 18/30

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/2 3/5 2/3 5/6

15/30 < 18/30 < 20/30 < 25/30

Therefore, the sorted inputs in order from least to greatest is:

1/2 < 3/5 < 2/3 < 5/6

Let's apply BPT theorem(Not necessary we can apply common ratios and similarities)

Put values

Option B

Let's solve it out

Answer:

y int = -12

vertex = (-4,4)

Axis of Symmetry = x = -4

It has a Maximum

Opens up

Step-by-step explanation:

Answer:

78125

Step-by-step explanation:

Answer:

Part A: (2x−5)(x+2)

Part B: (5/2,0) and (-2,0)

Part C: The graph of f(x) has both "ends" of the graph pointing upward. You can describe this as heading toward infinity.

Part D: To graph function we can use x-intercepts and "ends" to sketch.In order to graph better use one more point of parabola that you can find as the average of x-intercepts: (-2+5/2)/2 =1/4.This is just x coordinate and you need to plug in 1/4 in the f(x) and find y coordinate -10 1/8. You can use y-intercept (0,-10) as well to graph.

Step-by-step explanation:

2x^2-3x-5=y

(2x-5)(x+1)=y

(2x-5)(x+1)=0

2x-5=0

2x=5

x=2.5

x+1=0

x=-1

you have an even degree (2) and a positive coefficient (2)

therefore as x---> -∞, f(x)----> +∞

also, as x----> +∞, f(x)----> +∞

also notice that this is a parabola that opens upwards so both "ends" approach positive infinity

plot the x-intercepts, find the vertex using h=-b/2a and substituting this value into the equation to find k and make a table of values to graph the parabola unless you only want a rough sketch of the graph-you know the x-intercepts and you found the vertex using h=-b/2a

Step-by-step explanation:

Answer: hes right

Step-by-step explanation: i took the test

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n ≤ − 2

We conclude that the distance between the home plate and the second base is 107.48 feet.

We know that the distance will be equal to the diagonal of the square. Remember that for  a square of side length S, the diagonal is:

D = S*√2

In this case, the side length is S = 76ft, then the diagonal is:

D = 76ft*√2 = 107.48ft

From this, we conclude that the distance between the home plate and the second base is 107.48 feet.

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The triangle PAT is an isosceles triangle because the side lengths PA and AT are congruent

The points are given as:

P = (1,6)

A = (4,5)

T = (5,2)

Calculate the distance between both points as follows:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]PA = \sqrt{(1 -4)^2 + (6-5)^2}[/tex]

[tex]PA = \sqrt{10}[/tex]

[tex]PT = \sqrt{(1 -5)^2 + (6-2)^2}[/tex]

[tex]PT = \sqrt{32}[/tex]

[tex]AT = \sqrt{(4 -5)^2 + (5-2)^2}[/tex]

[tex]AT = \sqrt{10}[/tex]

Because the side lengths PA and AT are congruent, i.e. √10, then the triangle is an isosceles triangle

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Answer:

See below ~

Step-by-step explanation:

Solving for F

Finding F when K = 310.15 K

Answer:

$2756.01  to the nearest cent.

Step-by-step explanation:

A = P(1 + r)^t     where A is the amount after t years, P = amount invested, r = rate as a decimal fraction.

So here, we have:

A = 1500(1 + 0.052)^12

= 1500 * 1.837337

= $2756.01

Answer:

19/20

Step-by-step explanation:

380÷ 20= 19

400÷20= 20

Answer:

Step-by-step explanation:

Solving :

Q1

Q2

Q3

Best examples

Boyles law

Current with resistance

Resistance with length of wire

Pressure with area

Answer:

∠ 1 = 36° , ∠ 2 = 144°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is

x + 12 + 6x = 180

7x + 12 = 180 ( subtract 12 from both sides )

7x = 168 ( divide both sides by 7 )

x = 24

Then

∠ 1 = x + 12 = 24 + 12 = 36°

∠ 2 = 6x = 6 × 24 = 144°

Answer:

Julia can afford 5 stops including the initial fee

Step-by-step explanation:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

$21 - $5  ÷ $2.75 = 5 with remainder

What percent of students prefer aerobic excersize: 53%

88+69 /350= 0.5257 x 100

52.57 round up 53

53%

Answer:

you can approximate it to 61°

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

Answer:

... There isnt answer choices...

Answer:

the new points/coordinates would be (3,0) and (3,-3) and (-3,-3)

Step-by-step explanation:

this is because you use column vectors and draw a cross at the centre of enlargement then find out how many spaces you need to go right and up for each of the coordinates. then times that by -3 and use your answers to go left and down from the centre (3,3)