the surface area of a cylinder is 140 pie square feet, and its height is 9 feet. find its radius

Answer:

Step-by-step explanation:

20 palindromes exist that qualify this criteria rigorously

Examples:

52025, 52125, 52225, 52325, 52425, 52525, 52625, 52725, 52825, 57975 etc.

Answer:

Table C

Step-by-step explanation:

The input value in Table C gives a different value in the output.

Answer:

0-4

derivate first

function is missing

substitute the value of X

Answer:

Step-by-step explanation:

perp. -4

y - 2 = -4(x - 0)

y - 2 = -4x + 0

y = -4x + 2

Answer:

34.48cm²

Step-by-step explanation:

Assuming the shaded area doesn't contain the triangle:

area of triangle = bh/2

area of triangle = 4(2)/2

area = 4

area of circle = πr²

area = π3.5²

area = 38.48

area of shaded = 38.48 - 4

area = 34.48cm²

Since the values on both sides are different, hence the set of equations has no solution

System of equation are made of two equations with unknown variables. Given the following equations

y = 6x + 9

y = 6x + 2

Equate

6x + 9 = 6x + 2

Collect the like terms

6x - 6x = 2 - 9

0x = -7

Since the values on both sides are different, hence the set of equations has no solution

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Answer:

1.5:1

Step-by-step explanation:

the original answer is 12:8, so you have to simplify it down. you can get it down to 3:2 with whole numbers, but to get it down to a ratio with one, you'll have to divide each number by 2 because the bottom number is 2, so the final answer would be 1.5:1

The total amount that was raised for charity is £75.

Here is the sample space

                  1               2            3            4            5           6

Heads        1               4            9           16            25        36

Tails           1               8            27          64           125        216

Probability of getting a number greater than 30 = 4/12 = 1/3

1/3 x 450 = 150

Total value of people getting more than 30 : 150 x £1 = £150

Total amount paid = 50 x 450 = £225

Amount raised = £225 - 150 = £75

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Answer:

1/4

Step-by-step explanation:

3/4 x 2/4 = 6/24

6/24 simplified is 1/4

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Answer:

6/12 or 1/2

Step-by-step explanation:

Start by multiplying the numerators

3 x 2 = 6

Then multiply the denominators

4 x 3 = 12

Then you get your answer of 6/12

But if you want it simplified then divide both the denominator and numerator by 6 and you will get your final answer of

1/2

Hope this helped

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The value of the trigonometry functions will be:

sinθ = opposite / hypothenuse

cosθ = adjacent / hypothenuse

secθ = 1 / cosθ

cscθ = 1 / sinθ

tanθ = opposite / adjacent

cotθ = 1 / tanθ

It should be noted that trigonometry is the branch of mathematics that's is concerned with angles and their application.

When a triangle is drawn, the longest side is the hypothenuse, the side facing the angle is the opposite and the last side is the adjacent.

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Answer: Your answer is going to be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

1/8 is nothing but 0.125

4/.125 = 32

.125 goes into four 32 times.

Answer:

all real numbers

ez clappp

To solve this, we need to use our trignometric functions;

   ⇒ look at the diagram attached

Let's examine what the problem wants:

Let's examine what the problem gives us:

Let's solve:

   [tex]sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07[/tex]

Answer: 7.1 (rounded to nearest tenth)

Hope that helps!

Answer:

[tex]5\sqrt2[/tex]

Step-by-step explanation:

This is a 45-45-90 triangle so we can find all the side lengths easily.

The ratio between the base and the hypotenuse of a 45-45-90 triangle is [tex]1:\sqrt2[/tex], which means for this triangle it would be [tex]5:5\sqrt2[/tex]. This means the length of the hypotenuse is [tex]5\sqrt2\\[/tex], which is [tex]x[/tex], which is the answer.

The answer is Option C) 7th graders in her school.

In order to ascertain the suitability of a candidate for any popular position, his popularity can be assessed by taking a survey of the concerned sample.

Answer:

She should ask the 7th graders in  the school

Step-by-step explanation:

Because their opinion is important in electing the president.

The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

The end behavior of a function f tells us that the way that the graph function behaves at the "ends" of the x-axis.

Note that the end behavior of a function tells the trend of the graph and in this graph, f(x) -----> +∞ as x----> -∞  (as the value of x decreases the value of f(x) increases) and  f(x) -----> -∞ as x----> +∞ (as the value of x increases the value of f(x) decreases).

Therefore, The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

See full question below

What is the end behavior of the graph of f(x) = -0.25x2 - 2x + 1?

A) As x increases, f(x) increases. As x decreases, f(x) decreases.

B) As x increases, f(x) decreases. As x decreases, f(x) decreases.

C) As x increases, f(x) increases. As x decreases, f(x) increases.

D) As x increases, f(x) decreases. As x decreases, f(x) increases

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The perimeter of the bean bag toss board is 12 units

The points are given as:

C (3,2) D (3,6) E (5,2) F (5,6)

Calculate the distance between adjacent points using:

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

So, we have:

[tex]CD = \sqrt{(3 - 3)^2 + (2 - 6)^2} = 4[/tex]

[tex]DF = \sqrt{(3 - 5)^2 + (6 - 6)^2} = 2[/tex]

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

[tex]CE = \sqrt{(3 - 5)^2 + (2 - 2)^2} = 2[/tex]

The perimeter is then calculated as:

P = CD + DF + FE + CE

This gives

P = 4 + 2 + 4 + 2

Evaluate

P =12

Hence, the perimeter of the bean bag toss board is 12 units

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Answer:

[tex](2x + 1)(x - 6)[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - 11x - 6[/tex]

[tex]2 {x}^{2} + x - 12x - 6[/tex]

[tex]x(2x + 1) - 6(2x + 1)[/tex]

[tex](2x + 1)(x - 6)[/tex]

Answer:

[tex]y=-\frac{1}{2}x+2[/tex]

Step-by-step explanation:

The equation for slope-intercept form is [tex]y=mx+b[/tex].

First, we find b by looking at where the line passes through where [tex]x=0[/tex]. We can see that it is 2, so in our equation for slope-intercept form [tex]b=2[/tex].

Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression [tex]\frac{0-2}{2-1}[/tex]. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form, [tex]m=-\frac{1}{2}[/tex].

By putting the information we have about m and b together, we get the equation [tex]y=-\frac{1}{2}x+2[/tex].

The equation of the composite function is g(f(x)) = -2x - 6

The functions are given as:

f(x)= -2x - 5

g(x) = x - 1

In function g(x), we have:

g(x) = x - 1

Substitute f(x) for x

g(f(x)) = f(x) - 1

Substitute f(x)= -2x - 5

g(f(x)) = -2x - 5 - 1

Evaluate the difference

g(f(x)) = -2x - 6

This means that the equation of the composite function is g(f(x)) = -2x - 6

See attachment for the graph

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Step-by-step explanation:

[tex] \sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4} [/tex]

[tex] \sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30) [/tex]

[tex] \frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4} [/tex]

[tex] \frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4} [/tex]

The  statement that best  describes the relationship between lines s and t is: Lines s and t are parallel.

Parallel lines can be defined as those lines that are equal to one another but does not intersect one another.

For Lines s and t to be parallel lines this means that lines s ant t are cut by transversal. Hence, transversal intersect lines s and t to make it parallels lines.

Therefore Lines s and t are parallel.

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Answer:

x=36

Step-by-step explanation:

2x+2x+70+78+68=360

4x+216=360

4x=360-216

4x=144

x=144/4=36

The solutions are where the red and blue lines cross each other.

Answer would be D. X ≅ 1 and x ≅ 4.2

Answer:

The answer is 97

Step-by-step explanation:

According to PEMDAS, we will solve the multiplication first. 2 × 42 is 84. Next, we will add or subtract from left to right. 9 + 84 + 6 – 2 is 97, the answer to our problem.

9 + 2 × 42 + 6 - 2

Multiply 2 and 42 to get 84.

9 + 84 + 6 - 2

Add 9 and 84 to get 93.

93 + 6 - 2

Add 93 and 6 to get 99.

99 - 2

Subtract 2 from 99 to get 97.

97 ===> Answer

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04}}}}}}}[/tex]

Answer:

B.   The maximum occurs at the function's x-intercept.

Step-by-step explanation:

Given table:

[tex]\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}[/tex]

From inspection of the table, we can see that:

This indicates symmetry.  

The line of symmetry is the mid-point between the two x-values.

Therefore, the line of symmetry is x = -4

The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0).  As the function decreases as x → 0, the vertex is a maximum.

As the y-value of the vertex is 0, the maximum occurs at the function's x-intercept.

Answer:

B

Step-by-step explanation:

Finding the line of symmetry :

⇒ Two x-values have the same y-coordinate → (-5) and (-3)

⇒ This means the symmetry is exhibited and it lies between these 2 x-values

⇒ Line of symmetry : x = -4

=============================================================

Now, on plotting these points on a graph we see that this graph has a negative coefficient.

⇒ This means this graph will have a maximum point as the vertex

⇒ The vertex lies on the line of symmetry, hence the vertex (according to the graph and table) is (-4, 0)

Hence, we can say that the maximum occurs at the function's x-intercept.