use the Pythagorean theorem to find c!!!!

Answer:

2

Step-by-step explanation:

7(4+2b)-2(-7b+7)=70

28+14b+14b-14=70

28+28b-14=70

28-14+28b=70

14+28b=70

28b=70-14

28b=56

b=56/28

b=2

A cloudy eye may indicate an ulcer, something that can result from a small piece of hay in the eye. Any eye problems require urgent veterinary attention. NOTE: Guinea pigs secrete a milky discharge from their eyes, applying it to their paws when grooming. So if you see this, it's nothing to worry about.

Answer:

6,528,000

Step-by-step explanation:

Multiply 800 by 12. Then multiply the number by 680. And there u go.

6,528,000

The percent did monthly rent increase from last year to this year is 17.6%

Last year Justine paid $680 in rent while this year she paid $800 in rent

The increase in rent = $800 - $680 = $120

The percentage increase in rent = ($120/$680) * 100% = 17.6%

The percent did monthly rent increase from last year to this year is 17.6%

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A statement which best explains why the graph is not a function include the following: D. It is not a function because there are two different y-values for a single x-value.

In Mathematics, a function is typically used in mathematics for uniquely mapping an input variable (domain or independent value) to an output variable (range or dependent value).

This ultimately implies that, an independent value (x-value) represents the value on the x-axis of a cartesian coordinate while a dependent value (y-value) represents the value on the y-axis of a cartesian coordinate.

By critically observing the graph of this function (see attachment), we can reasonably infer and logically deduce that the graph does not represent a function because there are two different dependent values (y-values) for a single independent value (x-value) i.e y = -2 and y = 4 for a single x-value of 4.

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16h^(10/2) *remove the root sign

16h^5 *simplify the exponent

Answer: 16h^5

Step-by-step explanation: im correct

To prove that f(n) = 2n^4 + 5n^2 - 3 is Ω(g(n)), we need to find a function g(n) and positive constants c and n₀ such that f(n) ≥ c * g(n) for all n ≥ n₀.

Let's choose g(n) = n^4. We will now find positive constants c and n₀ such that f(n) ≥ c * g(n) for all n ≥ n₀.

Step 1: Define g(n) = n^4.

Step 2: Choose a positive constant c. Let's say c = 1.

Step 3: We need to find a value for n₀ such that f(n) ≥ c * g(n) for all n ≥ n₀.

f(n) = 2n^4 + 5n^2 - 3

g(n) = n^4

Now, let's find the value of n₀. We want to prove that for all n ≥ n₀, f(n) ≥ c * g(n).

f(n) ≥ c * g(n)

2n^4 + 5n^2 - 3 ≥ n^4 (since c = 1)

Simplifying the equation:

2n^4 + 5n^2 - 3 - n^4 ≥ 0

n^4 + 5n^2 - 3 ≥ 0

To find the value of n₀, we solve the equation n^4 + 5n^2 - 3 = 0.

However, this equation does not have an analytical solution. We can determine the behavior of the function f(n) by looking at its dominant term, which is 2n^4. As n increases, the value of 2n^4 dominates over the other terms (5n^2 and -3).

Therefore, we can say that for large enough values of n, f(n) ≥ c * g(n) holds true.

In conclusion, we have shown that f(n) = 2n^4 + 5n^2 - 3 is Ω(g(n)) with g(n) = n^4, which means that f(n) grows at least as fast as n^4.

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Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

Answer:

\( R = \dfrac{PV}{nT} \)

Step-by-step explanation:

\( PV = nRT \)

\( nRT = PV \)

\( R = \dfrac{PV}{nT} \)

The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

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The graph for the question is attached.

The probability that 10 squared centimeters of dust contains more than 10140 particles is 0.1841

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

The mean asbestos particles in 1 cm2 is given as 1000, therefore in 10 cm2 of dust, the mean number of particles is given as: 1000*10 = 10,000

The number of particles here is given as:

X ~ Poisson(y = 10000)

Therefore the normal approximation here is given as:

X Nu = 10000,02 = 10000)

The probability here is computed as:

P(X > 10090)

Converting it to a standard normal variable, we get here:

10090 – 10000 P(Z > V10000

P(Z > 0.9)

Getting it from the standard normal tables, we get here:

P(Z > 0.9) = 0.1841

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L((7,8)) = (-9,23).  To find the value of L((7,8)), we can use the linearity property of the linear operator L.

Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).

We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).

Using the linearity property, we can distribute the linear operator L over the linear combination:

L((7,8)) = L(7(1,2) + 1(1,-1))

= 7L((1,2)) + L((1,-1))

= 7(-2,3) + (5,2)

= (-14,21) + (5,2)

= (-9,23)

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The point slope form, , is useful in situations involving slope and the location of one or more points. The standard form, , is usually easier to use when we need to make algebraic calculations. When needs or knowledge change, we can convert an equation from one form into another.

Answer:

5

This is essentially the third identical question that you posted with the same

type of solution ... if you look at the previous question you asked and the explanation.. you will see that the red line crosses a corner of a box at (4,20)

4 cups =  20 pralines thus the number you are looking for is 20/4 = 5

Step-by-step explanation:

lets try this "story" to explain...

assume that you can walk 3 miles in 1 hour

this means that at 0 hr you go 0 miles , 1 hr you go 3 miles etc

0,0

1,3

2,6

3,9

etc.

if you graph that you will have the red line in you graph, and the x values would be 0,1,2,3 with the y values being 0,3,6,9....

if you DIVIDE any of those points

3/1 ,6/2, 9,3 the result is always a "3" that is the speed that you are walking at

it is a CONSTANT (in this problem) ... note: if the speed is NOT constant then this basically becomes a calculus problem, ant an algebra one.

These forecasts illustrate bias.

Therefore, these forecasts illustrate bias.

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Step-by-step explanation:

2 9/12×6=(2×12+9)/12×6=33×6/12=33/2=16.5is answer

Answer:

See below.

Step-by-step explanation:

So first, we can separate the entire figure into a semi-circle and an isosceles triangle.

AREA:

The area for a semi-circle is \(\frac{1}{2}\pi r^2\).

The diameter is 8cm, so the radius is 4cm.

Area of the semi-circle is:

\(\frac{1}{2}(4)^2\pi=\frac{1}{2}(16\pi)=8\pi cm^2\)

The area for a triangle is \(\frac{1}{2}bh\).

The base is the same as the diameter (8), and we are given the height as 10. Thus:

\(\frac{1}{2} (8)(10)=8(5)=40cm^2\)

The total area is \((8\pi +40 )cm^2\)

PERIMETER:

The perimeter of a semicircle is: \(\pi r + 2r\) (this is derived from dividing the circumference by 2 and then adding on the diameter).

Thus, the perimeter is:

\(4\pi +8\)

However, we ignore the 8 since the 8 is not part of the perimeter.

The perimeter of the triangle is the two slant lengths. We know the base and the height, so we can use the Pythagorean Theorem:

\(a^2+b^2=c^2\)

\(4^2+10^2=c^2\)

\(c^2=116\)

\(c=\sqrt{116}=2\sqrt{29\)

Two of them will be \(4\sqrt{29}\)

Thus, the total perimeter is \(4\pi + 4\sqrt{29}\)

Answer:

The solutions to the quadratic equations will be:

\(x=\sqrt{57}+6,\:x=-\sqrt{57}+6\)

Step-by-step explanation:

Given the expression

\(x^2-12x\:=\:21\)

Let us solve the equation by completing the square

\(x^2-12x\:=\:21\)

Add (-6)² to both sides

\(x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2\)

simplify

\(x^2-12x+\left(-6\right)^2=57\)

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

\(x^2-12x+\left(-6\right)^2=\left(x-6\right)^2\)

so the expression becomes

\(\left(x-6\right)^2=57\)

\(\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\)

solve

\(x-6=\sqrt{57}\)

add 6 to both sides

\(x-6+6=\sqrt{57}+6\)

Simplify

\(x=\sqrt{57}+6\)

also solving

\(x-6=-\sqrt{57}\)

add 6 to both sides

\(x-6+6=-\sqrt{57}+6\)

Simplify

\(x=-\sqrt{57}+6\)

Therefore, the solutions to the quadratic equation will be:

\(x=\sqrt{57}+6,\:x=-\sqrt{57}+6\)

The rate of increase of the y-coordinate as it approaches the point (1, 5) is 4 cm/s.At that instant, the x-coordinate of the point is not changing; it is staying at 1.

When a point reaches a certain coordinate, it means that the point is not changing anymore. In this case, the point has reached the coordinate (1, 5), which means that the x-coordinate (1) is not changing, while the y-coordinate (5) is increasing at a rate of 4 cm/s. Therefore, the x-coordinate of the point is not changing at that instant.

x = 1

Rate of Change (x-coordinate) = 0 cm/s

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"The revenue is always more than the cost," is the incorrect statement in relation to the profit business model. It is untrue that the revenue is always greater than the cost since the cost of manufacturing and providing the service must be considered as well.

The profit business model is a business plan that helps a company establish how much income they expect to generate from sales after all expenses are taken into account. It outlines the strategy for acquiring customers, establishing customer retention, developing the sales process, and setting prices that enable the business to make a profit.

It is important to consider that the company will only make a profit if the total revenue from sales is greater than the expenses. The cost of manufacturing and providing the service must be considered as well. The revenue from selling goods is reduced by the cost of producing those goods.

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Answer:

4.2

Step-by-step explanation:

 Step-by-step explanation:

Answer:

Step-by-step explanation:

Given system:

Multiply the second equation by - 4 (the opposite of the coefficient of x in the first equation) then add up the two equations, this will eliminate x and we'll solve it for y.

Find x:

Solution is: (-6, 2)

4x - 9y = -42 -------------(1)

-4x - 20y = -16 -----------(2)

-9y -20y = -42 -16

-29y = -58

y = 2

x + 5*2 = 4

x + 10 = 4

x = 4 - 10

x = -6

Answer:

(-6,2)

The rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83

What is the Volume of a Sphere?

The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements of a sphere's volume include m3, cm3, in3, etc. The sphere has a circular, three-dimensional form. Its form is determined by three axes: the x, y, and z axes. Sports like basketball and football are all instances of spheres with volume.

Since the cross-section of the sphere is a circle, the volume in this case is dependent on the diameter of the sphere's radius. The area or region of a sphere's outer surface is known as its surface area. We may use the following formula to get the volume of a sphere whose radius is "r":

Here, In the question, It is given that:

Radius = 4inch.

Rate of increase = 569 cubic inches;

So, using the Volume of Sphere, formula:

\(\begin{aligned}v=\frac{4}{3} \pi r^3 \\\frac{d v}{d t} &=\frac{d}{d t}\left[\frac{4}{3} \pi r^3\right] \\&=\frac{4 \pi}{3}\left(3 r^2\right) \frac{d r}{d t} \\\frac{d v}{d t} &=4 \pi r^2 \frac{d r}{d t}\end{aligned}\)

\(\begin{aligned}&\frac{d r}{d t}=\frac{\frac{d v}{d t}}{4 \pi r^2}\\&\left.\frac{d r}{d t}=\frac{569}{(4 \pi)(4)^2}=\frac{d}{d t}_{r=4}^{d r^2}=569\right]\\&\frac{d v}{d t}=\frac{569}{64 \pi} \sim 2.83\end{aligned}\)

Hence,  the rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83

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Sincerity is indeed a valuable attribute when declining a promotion. It reflects honesty, authenticity, and respect for oneself and others involved in the decision-making process.

Being sincere in declining a promotion can help maintain positive relationships, preserve trust, and ensure open communication within the professional setting.

When faced with the decision to decline a promotion, expressing sincerity is essential. By being sincere, one communicates their genuine thoughts and feelings about the promotion, providing transparency to their superiors and colleagues. Sincerity demonstrates honesty and integrity, as individuals express their true desires and motivations without resorting to insincere or fabricated reasons.

It shows respect for the organization and the opportunity presented, while also considering personal goals, aspirations, and career trajectory. Additionally, sincerity in declining a promotion helps foster positive relationships with superiors, as they appreciate the open and honest communication, leading to a better understanding of one's professional aspirations and potential for growth. Overall, sincerity in such situations promotes a healthy work environment built on trust, understanding, and mutual respect.

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Answer:

5

Step-by-step explanation:

12-7=5

Answer:

5

Step-by-step explanation:

We know that x is equal to 7. That means we can replace x with this value. This makes our new expression:

12 - 7

12-7 is equal to 5, so this expression will equal 5 when x = 7.

Please include picture. thank you

Answer:

v=-14

Step-by-step explanation:

Subtract 5 from both sides

5+v=-9

-5 -5

v=-14

the given expression is'

y = 13x - 5

compare this equation with the standard equation

y = mx + c

here m is slope

so m = 13

thus, the slope of the equation is m = 13

Answer:

Step-by-step explanation:

(A) is the right

Answer: C: 50 feet

Step-by-step explanation: The area of the basketball is 4700 square feet. We know that one side of the court is 94 feet long. To find the area for a rectangle, the formula would be Area=base times height. The "height" of this rectangle is 94 feet long. Now we need to find the base.

If you divide 4700 by 94, you will end up with 50 feet. To check, you multiply 50 by 94 and should end up with 4700. 50 feet is your base length.