A cylindrical container has a radius of 4 inches and a height of 7 inches. to the nearest tenth, what is the volume of the container?

[tex]

d = 258ft \\

t = 2min = 2\cdot 60s = 120s \\

s = \frac{d}{t}=\frac{258ft}{120s}=\boxed{2.15\frac{ft}{s}}

[/tex]

Answer:

The balls average speed was 2.15 feet per second.

Hope this helps.

Step-by-step explanation:

There are 60 seconds in a minute, and there are 2 minutes so you add 60 and 60, which would give you 120 seconds. Then you would divide 258 by 120, which would give you 2.15

Answer:

Step-by-step explanation:

Lateral Area:

We have five congruent triangles with base = 7in and height h = 9in.

The formula of an area of a triangle:

[tex]A_triangle=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_\triangle=\dfrac{(7)(9)}{2}=\dfrac{63}{2}=31.5\ in^2[/tex]

The Lateral Area:

[tex]L.A.=5A_\triangle\to L.A.=5\cdot31.5=157.5\ in^2[/tex]

Surface Area:

S.A. = L.A. + B

L.A. - lateral area

B - area of a base

The base is the regular pentagon. The formula of an area:

[tex]B=\dfrac{a^2}{4}\sqrt{25+10\sqrt5}\approx1.72048a^2[/tex]

Substitute a = 7in:

[tex]B\approx1.72048(7^2)=84.303552\ in^2\approx84.3\ in^2[/tex]

The Surface Area:

[tex]S.A.=157.5+84.3=241.8\ in^2[/tex]

Answer:

There is no solution for this equation. :)

Please mark as brainliest!! :)

Answer:

Option B. 5P5 × 20P15

Step-by-step explanation:

It is very important to remember that the second grade students are sitting in the front row, therefore, it is only necessary to organize 15 first grade students in 20 seats.

Permutations allow you to calculate the number of ways in which m objects can be arranged in n positions.

The permutation of m in n is written as:

nPm

Where n is the number of elements and m are chosen.

The way in which the 5 second grade students can be organized in the 5 seats is from the first row is:

5P5

Then, the number of ways in which 15 first-year students can be organized into 20 seats is:

20P15

Then, the number of ways to organize all students on the bus is the product of both permutations

5P5 * 20P15

Answer:

2 eggs and 6 ounces of flour.

Step-by-step explanation:

To calculate this, we have to find 1/3 of 6 eggs and 18 ounces of flour separately.

So to calculate 1/3 of 6 eggs, multiply 6 by 1/3, which is to say divide 6 by(reciprocal) .Then you get 2 eggs.

Then similarly to calculate 1/3 of 18 ounces of flour, multiply 18 by 1/3, or divide it by 3. Then you get 6 ounces of flour.

So your answer is 2 eggs and 6 ounces of flour.

:)

Answer:

Option D. [tex]150\°[/tex]

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

[tex]m\angle ABC=\frac{1}{2}[arc\ ADC-arc\ AC][/tex]

substitute the given values

[tex]30\°=\frac{1}{2}[210\°-arc\ AC][/tex]

[tex]60\°=[210\°-arc\ AC][/tex]

[tex]arc\ AC=210\°-60\°=150\°[/tex]

Answer:

Option (D) is correct.

Step-by-step explanation:

OA is perpendicular to AB

OC is perpendicular to BC

Radius from the center is perpendicular to the tangent.

In quadrilateral ABCO,

∠ABC+∠BCO+∠AOC+∠OAB=360°

30°+90°+∠AOC+90°=360°

∠AOC+210°=360°

∠AOC=360°-210°

∠AOC=150°

Hence, arc AC=150°

Thus, the correct answer is option (D)

the answer is: (check the image the answer is on the image)

Answer:

2 1797/2000

Step-by-step explanation:

Final answer:

To convert 134.7 grams to milligrams, multiply by the conversion factor of 1000, resulting in 134700 milligrams.

Explanation:

To complete the statement 134.7 g = blank mg, one needs to understand the conversion between grams and milligrams. There are 1000 milligrams (mg) in 1 gram (g). When converting from a larger unit to a smaller unit, we multiply by the conversion factor. Therefore, multiplying 134.7 g by 1000 gives us the equivalent number of milligrams.

134.7 g × 1000 = 134700 mg

Thus, 134.7 g is equal to 134700 mg.

Answer:

9x^(3/2)=9 √(x^3 )  

Step-by-step explanation:

We are given

9x^(3/2)

We have to write the expression in radical form, for that the power has to be a multiple of ½

=9x^(3*1/2)

As we can see now the power is a multiple of 1/2. ½ will convert to square root while 3 will become the power of radicand.

So, 9 will remain outside of the square root while x will be inside the square root while having power 3.

=9 √(x^3 )

Hence,

9x^(3/2)=9 √(x^3 )  

Answer:

b. you're welcome

Step-by-step explanation:

Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

[tex]x = |sx - tx| \\ y = |sy - ty| [/tex]

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

[tex] {c}^{2} = {x}^{2} + {y}^{2} \\ {c}^{2} = {8}^{2} + {17}^{2} = 64 + 289 \\ {c}^{2} = 353 \\ c = \sqrt{353} [/tex]

And finally, the correct answer is in fact 353.

Answer:

3u+15

Step-by-step explanation:

6u-3u

4+11

3u+15

Answer:

3u+15

Step-by-step explanation:

6u-3u +4+11

3u + 15

Answer:

Step-by-step explanation:

Keep in mind that we want to eliminate the radical from the denominator.  Note that the denominator is equal to

8^(1/4) = (2^3)^(1/4).

If we multiply the entire given expression by 2^(1/4), we get:

2^(1/4)           √10

----------- * -----------------

2^(1/4)       (2^3)^(1/4)

or

2^(1/4)           √10            2^(1/4) · √10          2^(1/4) · 10^(2/4)    

----------- * ----------------- = ---------------------- = ---------------------------

2^(1/4)       (2^3)^(1/4)         2^(1/4 + 3/4)                2                          

    2^(1/4) · 10^(2/4)           2^(1/4) · 100^(1/4)        200^(1/4)

= ------------------------------ = -------------------------- = --------------------

                 2                                   2                           2

This result is the same as the first answer choice:

fourth root of 200   over   2

Answer:

A!!!!!!!

Step-by-step explanation:

Answer:

1. The number zero (0) is the additive identity for real numbers as adding it to any real number doesn't change the number.

2. a(b+c) = ab + ac or a(b-c) = ab-ac is the distributive property as a is distributed to b and then c.

3. An Equation with more than one variables is called literal equation. The variables are known in literal equations. These kind of equations are usually used to represent time, distance etc.

4. The number 1 is the multiplicative identity for real numbers as multiplying any real number with 1, other than zero, doesn't change the number.

5. The reciprocal of a number such that x is a number other than zero and 1/x is the reciprocal and the product of x and 1/x is equal to 1 then 1/x is called the multiplicative inverse of x.

Answer:

(-2, -3)

Step-by-step explanation:

2x + 1 = 3x + 3

minus 3 from both sides

2x - 2  = 3x

minus 2x from both sides

-2 = x

then plug in -2 for x

y = 2(-2) + 1

y = -4 + 1

y = -3

(-2, -3).

Answer:

410 kilograms

Step-by-step explanation:

The mean is another way to say average.

Add the weights of all the polar bears together

3,280 kilograms total.

Then divide by the total number of bears

3,280 / 8 = 410

Answer:

Mean=410

Step-by-step explanation:

Given that the table shows the weights, in kilograms, of 8 polar bears.

Now we need to find about what is the mean weight of the polar bears.

So we just need to add all the weights then divide the sum by 8 to get the mean weight.

[tex]Mean=\frac{453+553+471+358+467+262+352+364}{8}[/tex]

[tex]Mean=\frac{3280}{8}[/tex]

[tex]Mean=410[/tex]

Hence final answer is Mean=410.

Answer:

(B) The employee subtracted the wrong percent's.

Answer:

b she substracted wrong

Step-by-step explanation:

If we want to share the money in equal parts, we have to consider that Eli has 9 shares, Freda has 13 shares and Geoff has 18 shares. So, in total, we have to split the money in

[tex]9+13+18 = 40[/tex]

parts. So, each part is

[tex]\dfrac{800}{40} = \dfrac{80}{4} = 20[/tex]£

Now, we distribute the shares:

Answer:

Eli gets £180

Freda gets £260

Geoff gets £360

Step-by-step explanation:

First, you need to make a ratio comparing their ages.

9 : 13 : 18 which is Eli : Freda : Geoff

Next, you need to work out the sum their ages (9+13+18) which is 40.

Then you divide the £800 (the amount that is being shared) by the sum of their ages 800÷40 which gives £20.And finally you need to multiply 20 by each section of the ratio.

So, 9×20 : 13×20 : 18 ×20 but then you need to simplify to get 180: 260 : 360.

Sorry if this explanation is confusing.

Answer:

[tex]-13 <x <-12[/tex]   Neither Increasing or Decreasing ​

[tex]-12 <x <-9[/tex]       Increasing

[tex]-9 <x <-6[/tex]     Decreasing

[tex]-6 <x <-4[/tex]        Increasing

[tex]-4 <x <-1[/tex]      Neither Increasing or Decreasing ​

Step-by-step explanation:

To know if the graph of a function is growing or decreasing you must use the graph to verify what happens when x increases.

If when x increases y decreases, then the function is decreasing.

If when x increases y increases, then the function is growing.

Let's look at the

First interval.

[tex]-13 <x <-12[/tex] Note that the value of y is always equal in this interval, therefore the function is not  increasing or decreasing.

Second interval

[tex]-12 <x <-9[/tex]

Note that when x increases from -12 to -10, the value of y increases from y = 1 to y = 3.

Then the function is  increasing in this interval

Third interval

[tex]-9 <x <-6[/tex]

Note that when x = -9 y= 8, but when x approaches -6 then y approaches 7.

Therefore in this interval the function is decreasing.

Fourth interval

[tex]-6 <x <-4[/tex]

When x = -6 y = 7 and at the end of the interval when x = -4 then y = 11

The function is increasing.

Fifth interval

[tex]-4 <x <-1[/tex]

The value of y remains constant throughout the interval. So the function is not  increasing and it is not decreasing

Answer:

x = 25

Step-by-step explanation:

4x+50 and 150 are vertical angles which means they are equal.

4x+50 =150

Subtract 50 from each side

4x+50-50 = 150-50

4x = 100

Divide each side by 4

4x/4 = 100/4

x = 25

Answer:

4x-8+4y

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = - 2x² + 4x - 2

To find the y- intercept set x = 0

f(0) = 0 + 0 - 2 = - 2 ← y- intercept

The equation of the axis of symmetry is of the form x = c

where c is the value of the x- coordinate the line goes through.

Given the equation in standard form

with a = - 2, b = 4 then the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{4}{-4}[/tex] = 1

Equation of axis of symmetry is x = 1

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

 where a, b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

 the y-axis at point (0 , c)

- The axis of symmetry of the function is a vertical line

  (parallel to the y-axis) and passing through the vertex of the curve

- We can find the vertex (h , k) of the curve from a and b, where

 h is the x-coordinate of the vertex and k is the y-coordinate of it

# h = -b/a and k = f(h)

- The equation of any vertical line is x = constant

- The axis of symmetry of the quadratic function passing through

  the vertex then its equation is x = h

* Now lets solve the problem

∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

Step-by-step explanation:

For a parabola y = ax² + bx + c, the vertex occurs at x = -b / (2a).

For f(x), a = -2, b = 0, and c = 9.  So the vertex is at:

x = -0 / (2×-2)

x = 0

At x=0:

f(0) = -2(0)² + 9

f(0) = 9

The maximum of g(x) is at 11.

So g(x) has a greater maximum value than f(x).

Answer:

2.07%

Step-by-step explanation:

92 out of a total of 3,204 graduates earned a professional degree.  That works out to 0.0207, or 2.07%.

B) 2.87% of students earned a professional degree in 2009, calculated by dividing the number of professional degree holders by the total number of students.

To find the percentage of students earning a professional degree, divide the number of students with a professional degree (92) by the total number of students (3,204) and multiply by 100:

[tex]\[ \frac{92}{3,204} \times 100 \approx 2.87\% \][/tex]

Therefore, the correct answer is B) 2.87%.

Check the picture below.

5+4+10+9+14 = 42.

Answer:

fish 1 dollar

castle 6 dollars

Step-by-step explanation:

4x + y = 10

4x + 2y = 16

Multiply the first equation by -1

- 4x - y = -10

4x + 2y = 16

------------------------

0x  +y   = 6

y = 6

This means the castle costs 6 dollars

Substitute this into the first equation

4x+y =10

4x+6=10

Subtract 6 from each side

4x+6-6=10-6

4x=4

Divide by 4

4x/4=4/4

x=1

This means each fish costs 1 dollar

So x=1 the answer is 1

Answer:

central

Step-by-step explanation:

we know that

A central angle is an angle that forms when two radii are drawn from the center of a circle out to its circumference

so

A central angle has the same measure as its arc

Answer:

No there cannot be the same number of stickers on each page.

Step-by-step explanation:

If you want to find out how many stickers need to be in every page to be even you would add all the stickers up. 6+6+9+10+11= 42. Take the 42 and divide it by 5 to see how many stickers would go in each page. This will give you 8.4. However since this number is a decimal it can't be split evenly in whole stickers for each page. Meaning that it wouldn't be possible for each page to have a evenly distributed number of stickers per each page.

Answer:

The correct answer is (0, -2) (5, -5) (-3, 4)

Step-by-step explanation:

The given inequality is x ≥ -3

To find the correct answers

1) (0, -2)

x ≥ -3

0 ≥ -3  TRUE

2) (5, -5)

x ≥ -3

0 ≥ -3 TRUE

3) (-3, 4)

x ≥ -3

0 ≥ -3 TRUE

4) (-4, -2)

x ≥ -3

5 ≥ -3  FALSE

Therefore the  correct answer is (0, -2) (5, -5) (-3, 4)

Answer:

(0,-2)

(5,-5)

(-3,4)

Step-by-step explanation:

The given inequality is [tex]x\ge -3[/tex]

If any of this points is a solution, then it must satisfy the given inequality;

We substitute the first point (0,-2) to obtain;

[tex]0\ge -3[/tex]. This is true. hence (0,-2) is a solution.

We substitute the first point (5,-5) to obtain;

[tex]5\ge -3[/tex]. This is also true. Hence (5,-5) is a solution.

We substitute the first point (-3,4) to obtain;

[tex]-3\ge -3[/tex]. This is also true. Hence (-3,4) is a solution.

We substitute the first point (-4,2) to obtain;

[tex]-4\ge -3[/tex]. This is false. Hence (-4,2) is not a solution.

The first three options are correct.

Answer:

0.61

Step-by-step explanation:

The average rate of change of H(s) in the closed interval [ a, b ] is

[tex]\frac{H(b)-H(a)}{b-a}[/tex]

here [ a, b ] = [ 80, 100 ]

H(b) = H(100)

= 0.003 × 100² + 0.07 × 100 - 0.027

= 30 + 7 - 0.027 = 36.973

H(a) = H(80)

= 0.003 × 80² + 0.07 × 80 - 0.027

= 19.2 + 5.6 - 0.027 = 24.773

Hence

average rate of change = [tex]\frac{36.973-24.773}{100-80}[/tex] = [tex]\frac{12.2}{20}[/tex] = 0.61

The answer is 27 i think..

This triangle is a right triangle.

We know that the sum of the angles is 180°.

So:

90° + (x+23)°+ (x+13)° = 180°

90 + (x+23) + (x+13) = 180

(x+23)+(x+13) = 180-90

(2x+36) = 90

(2x) = 90-36

(2x) = 54

x = (54/2)

x = 27

=> x = 27