Which expression can be used to determine the slope of the linear function represented in the table?

0
5
4
9
a. StartFraction 9 minus 5 Over 4 minus 0 EndFraction
b. StartFraction 4 minus 0 Over 9 minus 5 EndFraction
c. StartFraction 5 minus 0 Over 9 minus 4 EndFraction
d. StartFraction 9 minus 4 Over 5 minus 0 EndFraction
Group of answer choices

d

c

a

b

Answer:

(x+3)² + (y+2)² = 49

Step-by-step explanation:

To graph the circle that has centre of (-3,-2) with a point (-3, -9) on it.

First, let us write the equation of the circle

The equation is expressed as;

(x-a)² + (y-b)² = r²

(a, b) is the centre

r is the radius

r = √(-9-(-2))² +(-3-(-3))²

r = √(-9+2)² +(-3-(-3))²

r = √(-7)²

r = √47

r = 7

Get the equaton

(x-(-3))² + (y-(-2))² = 7²

(x+3)² + (y+2)² = 49

This gives the required equation

Answer:

8, 11, 14

Step-by-step explanation:

You add 3 to each number

Answer:

(Assuming they are both right triangles)

214.5 sq ft

Step-by-step explanation:

Area of a right triangle= leg×leg / 2

25×25 / 2 = 312.5

14×14 / 2 = 98

312.5-98= 214.5

Answer:100

Step-by-step explanation:

The sum of (8a + 2b - 4) and (3b - 5) is (8a + 5b - 9). We can find it in the following manner.

To find the sum of (8a + 2b - 4) and (3b - 5), we can simply add the corresponding coefficients of the variables a and b, as well as any constant terms.

So we have:

(8a + 2b - 4) + (3b - 5)

= 8a + 2b + 3b - 4 - 5 (grouping like terms)

= 8a + 5b - 9

Therefore, the sum of (8a + 2b - 4) and (3b - 5) is (8a + 5b - 9).

We can also explain this process by using the distributive property of addition over subtraction. This property states that the sum of two numbers with the same sign (positive or negative) can be found by adding their absolute values and keeping the common sign.

In this case, we can think of the expression (8a + 2b - 4) as the sum of three terms: 8a, 2b, and -4. Similarly, we can think of the expression (3b - 5) as the sum of two terms: 3b and -5.

Using the distributive property, we can add the terms with the same variable together:

(8a + 2b - 4) + (3b - 5)

= 8a + (2b + 3b) - (4 + 5)

= 8a + 5b - 9

Thus, we obtain the same result.

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If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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Answer:

-g^8

Step-by-step explanation:

it would still remain the same as it is shown because the "g" is negative and the "8", the exponent, is positive

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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The X value corresponding to z = -2.25 is X = 56.

A z score is a statistical indicator that shows how far a raw score is from a distribution's mean. Give the z-score formula. The z-score is calculated using the formula z = (x -μ)/σ.

To find the corresponding X value for a given z-score, we use the formula:

X = µ + (z * σ)

Given µ = 65, σ = 4, and z = -2.25, we can calculate the X value:

X = 65 + (-2.25 * 4)

X = 65 - 9

X = 56

Therefore, the X value corresponding to z = -2.25 is X = 56.

The correct answer is b. X = 56.

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TRUE: Basketball players' height is seen as a continuous variable.

Yes, as lengths are continuous variables, the random variable does indeed refer to length.

Thus, Basketball players' height is seen as a continuous variable

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The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Total songs = 53

Like songs = 14

Probability of selecting and liking the first song = 14/53

Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52

Probability of selecting liking the second song = 13/52

Probability of selecting liking the third song = 12/51

Probability of selecting liking the fourth song = 11/50

a)

The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.

b)

The probability of not liking the next four songs =1 - The probability of liking all songs

The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.

Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".

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1.The shape formed from intersection are hemisphere, cone and triangular prism

2. The only figure that is not a polyhedron is the second figure.

Any three-dimensional geometric solid known as a polyhedron is composed of flat polygonal faces, angular edges, and pointy vertices. It is an interesting object with a variety of straightforward to intricate forms. Polyhedrons can be found in crystals and various biological forms in the natural world.

Polyhedrons have two-dimensional polygonal faces, which give them their characteristic shape. These faces are connected by edges, which are line segments where two faces converge. At every intersection of edges, we identify vertices. The number and arrangement of faces, edges, and vertices determine the kind of polyhedron.

1. In the question given, the shape formed by intersection of the plane are hemisphere, cone and a triangular prism.

2. The only figure that is not a polyhedron is the second figure.

In the second figure, the figures formed from intersection of the plane are hemisphere, cone and triangular prism respectively.

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Answer:

SAS (side angle side)

Step-by-step explanation:

the third one

Answer:

because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.

Step-by-step explanation:

CAN YOU PLS MARK ME BRAINLIEST THX HAVE A NICE DAY!

The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g is show on the attachment

Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x).  That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).

See the attached image.  The table shows how the values of y change for each value of x used in the respective function.  Plot those new values to produce the graph.

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The maximum earning is v(r,b)

Let v(r,b) be the expected value of the game for the player, assuming optimal play, if the remaining deck has r red cards and b black cards.

Then v(r,b) satisfies the recursion

and

The stopping rule is simple: Stop when v(r,b)=0.

To explain the recursion . . .

If r,b>0, and the player elects to play a card, then:

Thus, if r,b>0, electing to play a card yields the value f(r,b).

But the player always has the option to quit, hence, if r,b>0, we get v(r,b)=max(0,f(r,b)).

Implementing the recursion in Maple, the value of the game is

v(26,26)=41984711742427/15997372030584

v(26,26)  ≈2.624475549

and the optimal stopping strategy is as follows . . .

So, The maximum earning is v(r,b)

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Answer:

7.

Step-by-step explanation:

Range = highest value - lowest

= 9 - 2

= 7.

To write Acos(?0t) + Bsin(?0t) in the form r*sin(?0t - ?), we can use the identities. The relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2), tan? = r/R = B/A

r = sqrt(A^2 + B^2)
tan? = B/A

Therefore, r = sqrt(A^2 + B^2) and tan? = B/A.

To determine the relationship among R, r, ? and ?, we can use the identity:

R^2 = r^2 + (tan?)^2

Therefore, R = sqrt(r^2 + (tan?)^2) and tan? = r/R. Substituting the expression for tan? from earlier, we get:

tan? = B/A = r/R

Solving for R, we get:

R = r/tan? = r/(B/A) = rA/B

And substituting the expression for R in terms of r and tan?, we get:

R = sqrt(r^2 + (r/R)^2) * A/B

Simplifying this expression, we get:

R^2 = r^2 + (A/B)^2 * r^2

R^2 = r^2 (1 + (A/B)^2)

Therefore, the relationship among R, r, ? and ? is:

R^2 = r^2 (1 + (A/B)^2)
tan? = r/R = B/A

To show that Acos(ω₀t) + Bsin(ω₀t) can be written in the form r*sin(ω₀t - θ), we can use trigonometric identities. We know that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Comparing this to the given expression, we have:

Acos(ω₀t) + Bsin(ω₀t) = r*sin(ω₀t - θ) = r[sin(ω₀t)cos(θ) - cos(ω₀t)sin(θ)]

Now, let's equate the coefficients of sin(ω₀t) and cos(ω₀t):

A = -r*sin(θ)
B = r*cos(θ)

To find r and θ in terms of A and B, we can use the Pythagorean identity:

A² + B² = (-r*sin(θ))² + (r*cos(θ))² = r²(sin²(θ) + cos²(θ)) = r²

Therefore, r = √(A² + B²).

Now, to find θ, we can use the tangent function:

tan(θ) = -A/B

Now, for the second part, if Rcos(ω₀t - θ) = r*sin(ω₀t - θ), we can use the sine-to-cosine transformation:

Rcos(ω₀t - θ) = Rsin(ω₀t - θ + π/2)

This implies that:

R = r
θ + π/2 = θ'

So, the relationship among R, r, θ, and θ' is:

R = r
θ' = θ + π/2

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Answer:

a) 3.50x + 1.75y=21 b) 6 c) 12 d) yes e) no

Step-by-step explanation:

A) you take the cost of the beads and add a variable the cost is per pound and you don't know how many pounds there are.

B) 3.50x = 21 you divide 3.50 on both side to get the variable alone and get how much pounds George gets.(blue beads)

C) 1.75y = 21 it is the exact process as the last but with the red beads instead

D) you take the equation you got and sub in the 4's in for the variables and you get 21

E) You do the same thing that was done in D (make sure you look at what they lbel it so you don't numbers in the wrong spot.)

Answer:

pleasee reply me ...

you looking very gorgeous...

also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you

Answer:

Pablo drove 268 miles.

Step-by-step explanation:

266.87-14.95=251.92

251 .92÷0.94=268

Could I please have Brainliest?

The solution  \(P(x \leq 4),p{x= 3), p(2 \leq * \leq 4)\)  is mathematically given as

Generally, the equation for the Probability of P(X=3) is mathematically given as

b)

\(P(X=3) = P(X \leq 3)-P(X\leq 2)\)

Therefore

\(P(X=3)= 0.65-0.48\)

P(X=3)= 0.17

c)

\(P(2\leq X\leq 4) = P(X\leq 4)-P(X\leq 1)\\\\\\P(2\leq X\leq 4) = 0.84-0.31'\)

\(P(2 < =X\leq 4)=0.53\)

a)

\(P(2\leq X\leq 4)=0.84\)

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Answer:

Please provide a question to be answered.

Answer: By having the arrow going to the left of the number line

Step-by-step explanation:

When subtracting, you always go to the left of the number line. Just like how you go to the right when adding. also having the line going from 5 to 1.

The best estimate of the volume of a ball shaped like a sphere with a radius of 4 3/8 inches is approximately 436.52 cubic inches.

To find the volume of a sphere, we use the formula V = (4/3)πr^3, where r is the radius of the sphere. Substituting the given radius of 4 3/8 inches (which can also be written as 35/8 inches) into this formula, we get V = (4/3)π(35/8)^3. Evaluating this expression, we get V ≈ 436.52 cubic inches, rounded to the nearest hundredth.

Therefore, the best estimate of the volume of the ball is 436.52 cubic inches.

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The cοοrdinates οf the fοurth vertex are (4,-1).

Tο find the fοurth vertex οf the parallelοgram, we need tο use the fact that οppοsite sides οf a parallelοgram are parallel and have the same length. We can use the given three vertices tο determine the vectοr representing οne οf the sides οf the parallelοgram. Then, we can extend that vectοr tο find the fοurth vertex.

Let's take the vectοrs representing twο adjacent sides οf the parallelοgram:

v1 = (-4,1) - (-2,-5) = (-2,6)

v2 = (6,-7) - (-4,1) = (10,-8)

Since οppοsite sides οf a parallelοgram are parallel, v1 and v2 must be parallel. This means that we can find the fοurth vertex by adding v1 tο the third vertex, (6,-7):

v4 = (6,-7) + v1 = (6,-7) + (-2,6) = (4,-1)

Therefοre, the cοοrdinates οf the fοurth vertex are (4,-1).

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Complete question:

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

The long-term probabilities for state 1, state 2, and state 3 are 0.471, 0.314, and 0.216, respectively.

To find the long-term probabilities for each state, we need to find the steady-state vector (also called the equilibrium distribution or limiting distribution) of the Markov chain. This can be done by solving the system of equations:

πP = π

where π is the row vector of long-term probabilities and P is the transition matrix.

We can write this system of equations as:

0.6π1 + 0.1π2 + 0.6π3 = π1
0.3π1 + 0.8π2 + 0π3 = π2
0.1π1 + 0.1π2 + 0.4π3 = π3

We also know that the sum of the probabilities in the long-term must be 1:

π1 + π2 + π3 = 1

We can solve this system of equations to find the long-term probabilities:

π1 = 0.471
π2 = 0.314
π3 = 0.216

Therefore, the long-term probabilities for state 1, state 2, and state 3 are 0.471, 0.314, and 0.216, respectively.

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Answer: c x=3

Step-by-step explanation:

Simplify it you will get

2-x=x-4 then minus x and four so you will get

2x=6 divide

X=3