Please please please help
i really need to bring my grade up
:(

The amοunt οf space within the cylinder that is nοt taken up by the tennis balls is abοut 12.56 cubic inches.

A cylinder is a three-dimensiοnal geοmetric shape that cοnsists οf twο parallel circular bases οf the same size and shape, and a curved lateral surface cοnnecting the bases.

The vοlume οf the cylindrical cοntainer can be calculated using the fοrmula fοr the vοlume οf a cylinder:

Vcylinder = πr²h

where the cylinder's radius (r) and height (h) are given.

Substituting the given values, we have:

Vcylinder = 3.14 x 1² x 8Vcylinder = 25.12 cubic inches

The vοlume οf οne tennis ball can be calculated using the fοrmula fοr the vοlume οf a sphere:

Vball = 4/3 x πr³

where r is the radius οf the tennis ball.

Substituting the given value, we have:

Vball = 4/3 x 3.14 x 1³

Vball = 4.19 cubic inches

Since there are three tennis balls, the tοtal vοlume they take up is:

3 x Vball = 3 x 4.19 = 12.57 cubic inches.

Therefοre, the amοunt οf space within the cylinder that is nοt taken up by the tennis balls is:

Vcylinder - 3 x Vball = 25.12 - 12.57 = 12.55 cubic inches

Rοunding this answer tο the nearest hundredth gives:

12.55 rοunded tο the nearest hundredth is 12.56 cubic inches.

Hence, the amοunt οf space within the cylinder that is nοt taken up by the tennis balls is abοut 12.56 cubic inches.

To learn more about cylinder from the given link:

https://brainly.com/question/16134180

#SPJ9

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

Question 8.

Let's select the correct representation that shows y as a function of x.

When y is a function of x, it means the values of y depends on the values of x.

Let's start from the first option.

• F. Given the table:

x 0 1 0 -2

y 5 8 -5 -4

This relation is not a function because there are more than one y value for one value for x.

• G. From the graph, let's use the vertical line test to verify if it represents a function.

If you draw a vertical line and it touches the curve on more than one point, this means the graph does not show y as a function of x.

Here, the graph passes the vertical line test.

Therefore, graph G shows y as a function of x.

ANSWER:

G.

Answer:

99 is 36% of 275.

Step-by-step explanation:

To find this, we need to set up our equation. We will have 99 be 36% of the number we are trying to find, while we are going to have x equal the number we are looking for. Then, on the right side of the equation we are making, we will have the percent.

99/x=36/100

Next, we cross multiply.

36x=9900

Now, divide both sides by 36 to get x by itself.

x=275

So 99 is 36% of 275.

.............. ......

Answer:

B

x is representing the price of one ticket in which the tickets bought was four.so therefore (x+x+x+x+16)=680

4x + 16 =680

Answer:

Slope = -1 .     Parallel lines have the same slope.  The slope is a coefficient of the x-term.

Step-by-step explanation:

y - x = 5

y = x + 5    slope = 1

The slope of the line parallel to the given line is 1.

Slope is a value that describes the steepness and direction of a line. In variable format, it is commonly represented by the letter m.

The slope of a line is also called its gradient or rate of change. The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run.

Given that the equation of a line y - x = 5, we need to find the slope of the parallel to the same,

Converting the equation in slope-intercept form,

y - x = 5

y = x + 5

Comparing with standard form of the equation of the line y = mx + c, where m is the slope,

Hence, the slope of the given line is 1,

We know that the slopes of the parallel lines are equal.

So, the slope of the asked line is 1.

Hence, the slope of the line parallel to the given line is 1.

Learn more about slopes, click;

https://brainly.com/question/3605446

#SPJ7

Answer:

I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25

Step-by-step explanation:

The sequence that maps ΔABC to ΔDEF are represented by three transformations: a horizontal and vertical translation and a counterclockwise rotation.

According to Euclidean geometry, a transformation is rigid if and only if Euclidean distances are conserved for every point of the figure. It is to be noticed that there is more than one manner to obtain the resulting figure.

After a careful inspection both on the statement and on the figure, we conclude that the following sequence of transformations:

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Step-by-step explanation:

how can you find the original amount in real-world percent problems.

Answer:

width = 64 inches

lenght = 76 inches

Step-by-step explanation:

2(x + 12) + 2x = 280

2x + 24 + 2x = 280

4x = 280 - 24

4x = 256

x = 256/4

x = 64

The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."

More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.

The given statement is: "If x equals 3, then 2b + 5 equals 11."

Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."

The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.

The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.

To know more about inverse visit:

https://brainly.com/question/30194642

#SPJ1

Answer:

19.99%

Step-by-step explanation:

hope this helps

here you go

Answer:

The gcf of 16,48,72 is 4,12,18

Answer:

Answer:

MEDIAN = 6

Step-by-step explanation:

FORMULA = (n+1)÷2

Step-by-step explanation:

Given:-

To find:-

Solution:- (Q.1)

\(\sf \: Arithmetic \: mean = \dfrac{Sum \: of \: all \: observation}{No.of \: observations}\\\\\\: \implies \sf \: mean \: = \dfrac{1 + 1 + 1 + 1 + 3 + 3 + 4 + 4 + 4 + 8 + 12}{11}\\\\\\ : \implies \sf \: mean = \dfrac{42}{11} \\\\\\ : \implies \sf \: mean = 3.81\)

Solution:- (Q.2)

\(: \implies \sf \:median = \bigg({\dfrac{n + 1}{2} \bigg)^{th}}\\\\\\ :\implies \sf \:median = \bigg( {\dfrac{11 + 1}{2} \bigg)^{th}}\\\\\\: \implies \sf \:median = \bigg( \dfrac{12}{2} \bigg) ^{th}\\\\\\ : \implies \sf \:median = 6th \: item\\\\\\ : \implies \sf \:median = 3\)

Solution:- (Q.3)

Mode = Number of Maximum times occurring in Observation.

Mode = 1 Because its Occurring most in the Observation.

Solution:- (Q.4):-

Range = Highest - Lowest

⠀⠀⠀⠀= ⠀⠀12 ⠀⠀- ⠀1

⠀⠀⠀⠀= ⠀⠀⠀⠀⠀11

.°. 11 is the Required Range

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ1

Answer:804,000,000,000 & 8.0e+11

Step-by-step explanation:

logic

Answer:

-1/3 + -25

Step-by-step explanation:

-1/3 - 2/5 = -11/15

-1/3 + -2/5 = -11/5

Because add the same, but the two negatives are even so you keep the negative.

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

for such more question on distance

https://brainly.com/question/7243416

#SPJ8

Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.

To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.

The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.

The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:

Reduction in weight / Initial weight

Substituting the values, we have:

20 kg / 85 kg

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:

(20 kg / 5) / (85 kg / 5) = 4/17

For such more question on weight:

https://brainly.com/question/25973294

#SPJ8

For x = 4.1:

Slope of PQ =5.1

For x = 4.01:

Slope of PQ =6.01

For x = 3.9:

Slope of PQ =15.1

For x = 3.99:

Slope of PQ =105.99

From the results above, we can guess that the slope of the tangent line to the curve at P is approximately 6.

To find the slope of the secant line PQ, we need to first find the coordinates of point Q in terms of x:

Q = (x, x² + x + 8)

Then, the slope of the secant line PQ is given by:

(yQ - yP) / (xQ - xP)

where yP = 28 and xP = 4, and yQ and xQ depend on the value of x.

For x = 4.1:

Q = (4.1, 4.1² + 4.1 + 8) = (4.1, 28.51)

Slope of PQ = (28.51 - 28) / (4.1 - 4)

= 0.51 / 0.1

= 5.1

For x = 4.01:

Q = (4.01, 4.01² + 4.01 + 8) = (4.01, 28.0601)

Slope of PQ = (28.0601 - 28) / (4.01 - 4)

= 0.0601 / 0.01

= 6.01

For x = 3.9:

Q = (3.9, 3.9² + 3.9 + 8) = (3.9, 26.49)

Slope of PQ = (26.49 - 28) / (3.9 - 4)

= -1.51 / -0.1

= 15.1

For x = 3.99:

Q = (3.99, 3.99² + 3.99 + 8) = (3.99, 26.9401)

Slope of PQ = (26.9401 - 28) / (3.99 - 4)

= -1.0599 / -0.01

= 105.99

As x approaches 4 from both sides, the x-coordinate of Q approaches 4, and the slope of PQ approaches the slope of the tangent line to the curve at P(4,28). From the results above, we can guess that the slope of the tangent line to the curve at P is approximately 6.

Learn more on calculating slopes of tangent here https://brainly.com/question/6353432

#SPJ1

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

For more such questions on rank

https://brainly.com/question/28839672

#SPJ8

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Step-by-step explanation:

It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other .   Opposite angles are equal and adjacen angles sum to 180 degrees .

Then remember alternate angles are equal  and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one

Answer: b and d

Step-by-step explanation:it IS

The canister holds 80 cups and they need 84 cups of flour to make a dozen pizzas. So, the cooks cannot make a dozen pizzas without refilling the canister. The solution has been obtained by using unitary method.

What is the unitary method?

The unitary technique is used to first calculate the value of each individual unit, and only then is the value of the necessary quantity of units calculated.

We are given that a pizzeria stores flour in a 5-gallon container. We assumed that 16 cups make 1 gallon.

So, number of cups that will make 5 gallon is 16 * 5 = 80 cups

Since, each pizza they make uses 7 cups of flour. So, for making 12 pizzas, they require 12 * 7 = 84 cups of flour.

Hence, the cooks cannot make a dozen pizzas without refilling the canister.

Learn more about unitary method from the given link

https://brainly.com/question/28731562

#SPJ1

The length of the given curve in the interval [0, 2] is approximately 2.833 units.

To find the length of the given curve in the interval [0, 2], we are provided with the parametric equation for a curve

which exceeds the quality -1.

We need to find why he called you despair by two for this given carve in an interval of tea for uh 0-2.

The length of the given arc can be calculated using the formula below:

\(s = \int_a^b\sqrt{(dx/dt)^2+(dy/dt)^2dt\)

Where a and b are the limits of integration for the interval [0, 2].

Now, from the given equations, we can write that the x by d.t. is one and the uae by d.t. d. y by d. t. is going to be equal to d.

So the length of the given arc in the interval [0, 2] is given by the integral:

s = \(\int_0^2\sqrt{(1^2+t^2)dt\)

Now we can simplify this integral by using the formula for

∫√(a²+x²)dx = x/2√(a²+x²) + (a²/2)ln|x+√(a²+x²)|.

Hence, using this formula, we get:

s = [(2/2)√(1²+2²) + (1/2)ln|2+√(1²+2²)|] - [(0/2)√(1²+0²) + (1/2)ln|0+√(1²+0²)|]

s = √5 + (1/2)ln(2+√5)

s ≈ 2.833 units.

Thus, the length of the given curve in the interval [0, 2] is approximately 2.833 units.

for such more question on length of curve

https://brainly.com/question/29364263

#SPJ11

Question :-

What is the length of the given curve in the interval [0, 2]?

Answer:

yes it's equivalent to 2/6

Answer:

1,920

Step-by-step explanation:

125% × x = 24

x = 19.2

125% divided by 100 = 1.25

19.2 x 100 = 1920