Which expression can be used to find the volume of the sphere?

A sphere with diameter 10 inches.
V = four-thirds pi r squared = Four-thirds (3.14) (5) squared
V = four-thirds pi r cubed = Four-thirds (3.14) (5) cubed
V = four-thirds pi r cubed = Four-thirds (3.14) (10) cubed
V = four-thirds pi r squared = Four-thirds (3.14) (10) squared

The expanded form of the expression (x+3)(x-3) is x² - 9

Given the expression;

(x+3)(x-3)

We multiply each term in the second bracket by each term in the first bracket

x(x-3) + 3(x-3)

x² - 3x + 3x - 9

x² - 9

Therefore, the expanded form of the expression (x+3)(x-3) is x² - 9.

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Answer:

84 square units.

Step-by-step explanation:

  [tex]\sf \boxed{\bf Area = \sqrt{s*(s-a)(s-b)*(s-c)}}[/tex]

Here, a, b and c are the sides of the triangle. s is the semi perimeter.

a = 13

b = 14

c = 15

[tex]\sf s= \dfrac{a+b+c}{2}\\\\ =\dfrac{13+14+15}{2}\\\\=\dfrac{42}{2}\\\\s = 21[/tex]

s -a = 21 - 13 = 8

s -b = 21 - 14 = 7

s - c = 21 - 15 = 6

   [tex]\sf Area = \sqrt{21*8*7*6}[/tex]

            [tex]= \sqrt{ 7* 3 * 2 * 2 * 2 * 7 * 2 * 3}\\\\=7 * 3 *2*2\\\\= 84 \ square \ units[/tex]

Step-by-step explanation:

the sum of all angles around a single point on one side of a line must be 180°.

because that line can be seen as the extension of the diameter of a circle, and the point would be the center of that circle. so, one side of the line represents a half-circle, which stands for 180°.

so we have

180 = 40 + 40 + (2x + 30) = 80 + 2x + 30 = 110 + 2x

70 = 2x

x = 35

Answer: MULTIPLYING THE EXPONENTS!!!

Step-by-step explanation:

Mark me brainliest

Answer:

462

Step-by-step explanation:

C(11, 5)
= 11!/(11-5! * 5!)

= 462

Using it's concepts, the mean and the standard deviation of the data-set are given as follows:

B. mean: 17; standard deviation: 7.53.

The mean for this problem is:

M = (22 + 21 + 20 + 4 + 19 + 6 + 24 + 11 + 26)/9 = 17

The standard deviation is:

[tex]S = \sqrt{\frac{(22-17)^2+(21-17)^2+(20-17)^2+(4-17)^2+(19-17)^2+(6-17)^2+(24-17)^2+(11-17)^2+(26-17)^2}{9}} = 7.53[/tex]

Hence option B is correct.

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Answer: 22.5

Step-by-step explanation:

[tex]\sin 64^{\circ}=\frac{x}{25}\\\\x=25 \sin 64^{\circ}\\\\x \approx 22.5[/tex]

Answer:

(-1,-2)

Step-by-step explanation:

See attached graph.

The height of a pyramid with volume of 75 cm³ and square base area of 25 cm², is 9 cm

An equation is an expression that shows the relationship between two or more variables and numbers.

Let us assume that the pyramid has a volume of 75 cm³ and square base area of 25 cm², hence:

Volume = (1/3) * area of base * height

75 = (1/3) * 25 * height

height = 9cm

The height of a pyramid with volume of 75 cm³ and square base area of 25 cm², is 9 cm

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Answer:

Improper fraction

Step-by-step explanation:

-36/12 is indeed an improper fraction. An improper fraction is usually a fraction where the numerator is larger than the denominator. Which in order for the fraction to be a "proper" fraction, the fraction has to have a numerator that is smaller than the denominator. Not only is this fraction an improper one, but it can also be heavily reduced (or simplified) by dividing the numerator/denominator by a common factor, which you would still have an improper fraction speaking how the numerator will still be greater than the denominator.

Hope this helps.

Answer:

Proper Fraction

Step-by-step explanation:

The expansion of the expression (x + 2y)² is x² + 4xy + 4y².

The given expression is (x + 2y)². The expansion of the expression will be:

(x + 2y)²

= (x + 2y)(x + 2y)

= x² + 2xy + 2xy + 4y².

= x² + 4xy + 4y²

The expansion is x² + 4xy + 4y².

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Hyperkalemia is what is more likely to occur due to the results of the conditions.

This is used to refer to the condition where there is too much of potassium in the blood of a person.

The side effects is that the person would feel tiredness, weakness and he would feel abnormal heart beat.

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The measure of the smallest side of the triangle is 10 inches

A triangle is a shape that has 3 sides and angles. The perimeter of a shape is defined as the sum of the sides of the figure.

Let the length of the smallest side be x

If one side is 5 inches longer than the smallest side, then;

L1 = x + 5

If another side is 1 inch less than twice the smallest side, then;

L2 = 2x - 1

Take the sum to have:

x+x+5+2x-1 = 44

4x+4= 44

Subtract 4 from both sides

4x =44 - 4

4x = 40

Divide both sides by 4

x = 40/4

x = 10

Hence the measure of the smallest side of the triangle is 10 inches

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Answer:

[tex]4x^2+20x-2[/tex]

Step-by-step explanation:

To find (c.g)(x) we basically use the function d(x) as your variable, x, and plug it into c(x). So we replace every x in c(x) with the function d(x), [tex]x^{2} +5x[/tex]

c(g(x))=4(x^{2} +5x)-2

c(g(x))4[tex]x^2[/tex]+20x-2

Answer:

c

Step-by-step explanation:

im smart like that

Answer:

also known as the population parameter of interest the parameter of interest is a practical value that gives you more information about the research sample or population being studied in other words these parameter define the describe the search population

what is parameter answer is given above

Tangent of a circle is a line which touches the circle at a point from outside the circle.

Given a tangent to a circle through a point outside the circle.

We have to draw a tangent to a circle from point outside the circle.

Tangent of a circle is a line which touches the circle at a point from outside the circle.. The point at which tangent touches the circle is known as point of contact.The radius of the circle and tangent are perprndicukar to each other at the point of contact. There cannot be any tangent  to the circle through a point inside the circle. There can be one tangent to a point on the circle. The steps of drawing a tangent to a circle are as under:

1) Draw a circle with the radius neede with center O.

2) Join center of the circle O and any point P on the circle OP is the radius of the circle.

3) Draw a line perpendicular to radius OP through point P which is the intersection point of tangent and circle.

This line is the tangent to the circle at P.

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Answer:

igu

you could crop out question n use pic :)

The volume of the composite solid shown in the diagram is: 80 ft.³.

Volume of the composite solid = volume of triangular prism + volume of triangular pyramid.

Volume = 0.5 × base of triangle × height of triangle × length of prism + 1/3 × Base area × Height = 0.5 × 8 × 5 × 3 + 1/3 × 0.5 × 8 × 5 × 3

Volume = 60 + 20

Volume of the composite solid = 80 ft.³.

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[tex]\textbf{Heya !}[/tex]

✏[tex]\bigstar\textsf{Given:-}[/tex]✏

✏[tex]\bigstar\textsf{To\quad find:-}[/tex]✏

▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪

✏[tex]\bigstar\textsf{Solution\quad steps:-}[/tex]✏

First, subtract both sides by 7:-

[tex]\sf{-\cfrac{y}{4} > -1-7}}[/tex]

[tex]\sf{-\cfrac{y}{4} > -8}[/tex]

Now multiply both sides by 4:-

[tex]\sf{-y > -8*4}[/tex]

[tex]\sf{-y > -32}[/tex]

last step:-

[tex]\sf{y < 32}[/tex]

`hope it was helpful to u ~

[tex] \implies \: \sf{ - \dfrac{y}{4} \: + \: 7 \: > \: - 1} \\ \\ \implies \: \sf{ - \dfrac{y}{4} \: > \: - 7 \: - 1} \\ \\ \implies \: \sf{ - \dfrac{y}{4} \: > \: - 8} \\ \\ \implies \: \sf{ \cancel- \: \dfrac{y}{4} \: > \: \cancel- \: 8} \\ \\ \implies \: \sf{ \dfrac{y}{4} \: < \: 8} \\ \\

\implies \: \sf{ y \: < \: 8 \times 4} \\ \\ \implies \: \bf{ y \: < \: 32}[/tex]

Answer:

C

Step-by-step explanation:

cosecΘ = [tex]\frac{1}{sin0}[/tex] = [tex]\frac{2}{\sqrt{3} }[/tex] ( cross- multiply )

2sinΘ = [tex]\sqrt{3}[/tex] ( divide both sides by 2 )

sinΘ = [tex]\frac{\sqrt{3} }{2}[/tex] , then

Θ = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = 60°

Answer:

C.  60°

Step-by-step explanation:

by definition,  cosec(θ) is the reciprocal of sin(θ)

In other words ,

[tex]\text{cosec} \left( \theta \right) =\frac{1}{\sin \theta }[/tex]

Then

[tex]\text{cosec} \left( \theta \right) =\frac{2}{\sqrt{3} }[/tex]

[tex]\Longleftrightarrow \frac{1}{sin \left( \theta \right) } =\frac{2}{\sqrt{3} }[/tex]

[tex]\Longleftrightarrow sin \left( \theta \right) =\frac{\sqrt{3} } {2}[/tex]

Then

θ = 60°

Because we have a vertical asymptote at x = 0 and a horizontal asymptote at y = -1, we conclude that the correct option is the last one.

Here we have the function:

[tex]f(x) = \frac{1}{x} - 1[/tex]

First notice that we have a vertical asymptote at x = 0, because we can't divide by zero.

Now, notice that when x tends to infinity or negative infinity, the first term becomes zero, then we have a horizontal asymptote at y = -1.

Then the correct option is the last one:

"On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1."

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Answer:

Last option

Step-by-step explanation:

It is not too many reds, but it is also not a perfectly balanced roulette wheel.

It is given that the red numbers should come up 18 times when the roulette wheel is played 38 times.

Therefore, the ratio of red numbers to the total number of plays is = 18:38

It is also given that a casino tests the wheel with 3800 plays and noticed that the red numbers came up 1890 times.

The ratio is given as 1890:3800.

We have to simplify this.

1890/3800 = 18.9/38

If the roulette wheel was perfect, it should've been 18:38.

Therefore, we can say that the roulette wheel is not perfectly balanced.

Therefore we have found that it is not too many reds, but it is also not a perfectly balanced roulette wheel.

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Answer:

I don't understand the array of numbers as written in the question.

Step-by-step explanation:

See attached image

a) The variables are:

b)

x + y ≥ 12

x*$0.75 + y*$1.25 ≤ $15

a) First we need to define the variables, in this case we have:

b) Now we want to write the system, we know that he must buy at least 12 items, then:

x + y ≥ 12

And he can spend, at most, $15, then:

x*$0.75 + y*$1.25 ≤ $15

These two inequalities conform the system of inequalities:

x + y ≥ 12

x*$0.75 + y*$1.25 ≤ $15

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By applying the Theorem of Intersecting Secant to circle Q, an equation which is correct about the measure of ∠MNP is: A. m∠MNP = One-half(x – y).

The Theorem of Intersecting Secant states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

For this exercise, the following points should be noted:

By applying the Theorem of Intersecting Secant to circle Q shown in the image attached below, we can infer and logically deduce that angle MNP will be given by this formula:

m∠MNP = One-half(x – y).

m∠MNP = ½(x – y)

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The height of the frame is 15 feet.

From the information given, the following can be depicted:

b - 10/a = 2/5

2a = 5b - 50

2a - 5b = -50

Also, slope of AC:

= (b - 10(/(a - 5) = 2/5

2a - 50 = -5b + 50

2a + 5b = 100

Both equations will be solved

The height of the frame will be:

= 5 + 10

= 15 feet

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Answer:

15:02 or 3:02 pm

Answer:

[tex]13.35 + 1.27 = 14.62 \\ \\1 hr = 60min \\ 62 min- 60min =2min \\ 14hr + 1hr = 15hr \\ \\it \: ends \: at \: 15.02[/tex]

Answer:

Domain: (-∞, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

The domain are the x-values included in the function (the horizontal axis).

The range are the y-values included in the function (the vertical axis).

The two arrows on the ends of the line (pointing upwards and downwards respectively) indicate that the function goes in those direction for infinity. Therefore, if there are an infinite amount of y-values, the range is (-∞, ∞).

While the slope is quite steep, there is still a slope and slowly "expands" the line on the horizontal axis. Because there is no limit to the y-values, the domain will also expand infinitely. Therefore, the domain is also (-∞, ∞).

Answer:

Domain: All real numbers (interval notation: [tex](-[/tex]∞, ∞[tex])[/tex]

Range: All real numbers (interval notation: [tex](-[/tex]∞, ∞[tex])[/tex].

Step-by-step explanation: The domain of a graph is all the x-values where the line touches or will eventually touch.

The range of a graph is like the domain, but it is all the y-values where the line touches or will touch.

In a linear function in the form y = mx + b or ax + by = c, the domain and range will always be "all real numbers" and the interval will always be (-∞,  ∞). This makes sense since a line always goes on forever (unless it's piecewise or an inequality.) So the line will eventually meet every single x and y value on the xy graph.

The solution to the inequality 6x + 3y ≤ 84 is the dark region shown and the point (9, 10) satisfies this inequality.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the number of rides Darren can ride and y represent the number of exhibits he can view. Hence:

6x + 3y ≤ 84

The solution to the inequality 6x + 3y ≤ 84 is the dark region shown and the point (9, 10) satisfies this inequality.

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It was A! I got it right on the Edmentum/Plato test!! YW!!!

The total weight of the bag that the salesman is carrying for selling a machine including some personal stuff is 13.9 Kg.

A fraction is a rational number that consists of a numerator and a denominator, used to represent a part of the whole thing.

It is given that,

A salesman is carrying a big bag for selling a machine.

Consider the weight of the machine = w

So,

The weight of his machine is three kilograms and half a machine. I.e.,

w = 3kg +w/2

⇒ w/2 = 3kg

∴ w = 6kg

Thus, the weight of the machine is 6 Kg.

So, the weight of the repair tool for the machine = a half kilogram and one-fourth of the machine

⇒ 1/2Kg + 1/4w

⇒ 1/2 + 6/4

⇒ 2 Kg

The personal stuff weighs - four kilograms minus a fourth of the weight of the machine.

⇒ 4Kg - w/4

⇒ 4 - 6/4

⇒ 2.5 Kg

He has some supplies that weigh two-fifth of the machine and personal stuff combined.

⇒ 2/5(w + 2.5)

⇒ 2/5 × 8.5

⇒ 3.4 Kg

Thus, the total weight of the bag = 6 Kg + 2 Kg + 2.5 Kg + 3.4Kg =  13.9Kg.

Therefore, the total weight of the salesman's bag is 13.9 Kg.

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