Which linear function represents the line given by
the point-slope equation y - 8 = 1/2(x - 4)?
O f(x) = =x + 4
O f(o) = %x + 6
O 1(x) = X - 10
O 10x) = x - 12

Answer:

(a) y=x             YES

(b) y=-9            YES

(c) y=4x²¹ +8    NO

(d) y=-4x+7       YES

Step-by-step explanation:

See attached worksheet.

Answer:

n = 12

Step-by-step explanation:

16/48 = n/36

cross multiply

16 × 36 = 48n

576 = 48n

n = 576/48

n = 12

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In the figure given the value of x is calculated to be

The value of x is solved from using the vertical angle theorem.

According to this theorem, when two straight lines cross, they create two sets of linear pairs with equal angles.

The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.

From this principle,

8x = 2x + 72

8x - 2x = 72

6x = 72

x = 16

The angles marked by 8x is equal to

= 8 * 12

= 96 degrees

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My least favorite food would defiently be soup.

Answer:

Step-by-step explanation:

Brussels sprouts

Answer: wait how much was her allowance

Step-by-step explanation:

Answer:

Step-by-step explanation:

If r and h radius and of inscribed cylinder then from similyarity of triangles(2- h)/2 = 2r/15, from here h = 2 - 4r/15.

Volume V = πr2h = πr2(2 - 4r/15)= π(2r2 - 4r3/15). Let  find derivative and set it to 0:

V' = π(4r - 12r2/15) = 0; we get equation 4r - 4r2/5 = 0, r = 0 and r = 5.

To check if we get maximum we  find V'' = π(4 - 8r/5) and at r = 5 V'' = π(4 -8) = -4π < 0 max

Answer: demantions of inscribed cylinder r = 5 and h = 2 - 4·5/15 = 2 - 4/3 = 2/3

Answer:

The answer is -15

Answer:

Comparing the functions, from the tables, it is found that (f - g)(x) is positive in the interval (–∞, 9) .

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

For the subtraction function, we simply subtract both functions, thus:

It is positive if f is greater than g, that is: f(x) > g(x).

It is a linear function, so one function is greater before the equality, one after.

They are equal at x = 9.

If x < 9, f(x) > g(x), and thus, (f - g)(x) is positive, which means that the desired interval is:

(–∞,

Step-by-step explanation:

(C) 2x=x^2 is not a quadratic equation and the rest of the equation is a quadratic equation.

Any algebraic statement that can be represented in a standard form, where x stands for an unknown number, a, b, and c stand for known values, and where a 0 is true, is said to be a quadratic equation.

Factoring, using square roots, completing the square, and using the quadratic formula are the four approaches of solve a quadratic problem.

A quadratic equation's form is: ax²+bx+c=0

(A) x^2–8x+5=0

In the form ax2+bx+c=0.

(B) 3x^2–4=0

In the form ax2+bx+c=0.

(C) 2x=x^2

Not in ax2+bx+c=0 form.

(D) x+5=3

In the form ax2+bx+c=0.

Therefore, (C) 2x=x^2 is not a quadratic equation and the rest of the equation is a quadratic equation.

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The expression as 3f – 2.

The value when f = 4.5 is 11.5.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario

Two less than the product of a number and three will be:

(3 × f) - 2

= 3f - 2

When f = 4.5

(3 × 4.5) - 2

= 11.5

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The time it takes for the cannonball to strike the ground if a certain cannon is fired from a height of 8.1 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ the time, t, in​ seconds, is found by the function h(t) =-4.9 t² + 27.5t + 8.1 is 5.612 seconds.

A vector measure of movement's speed and direction is called velocity. Simply described, velocity is the rate of movement in a specific direction.

Given:

The height of the cannon = 8.1 m

The height equation, h  = -4.9 t² + 27.5t + 8.1

Calculate the time by putting the value of  height in the equation as shown below,

h = (-4.9 t² + 27.5t + 8.1)

8.1 = (-4.9 t² + 27.5t + 8.1)

-4.9 t² + 27.5t = 0

Solve the quadratic equation,

t = 5.61224 sec

Therefore, the time it takes for the cannonball to strike the ground if a certain cannon is fired from a height of 8.1 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ the time, t, in​ seconds, is found by the function h(t) =-4.9 t² + 27.5t + 8.1 is 5.612 seconds.

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The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134

In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.

We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.

Given, μ = 12, σ = 8, n = 4

P(X > 8)

= P(z > (8 - 12 / 8/√4))

= P(z > -1)

= 1 - P(z ≤ -1)

= 1 - [1 - P(z ≤ 1)]

=  P(z ≤ 1)

= 0.84134

Therefore, the required probability is 0.84134

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The equation can be written as: 2.4x - 9.1x + 12.5x = -39.44. x = 9.44.

The distributive property is a mathematical rule that states that multiplying a number by a group of numbers in a set can be done by multiplying the number by each individual number in the set. It is sometimes referred to as the distributive law of multiplication. This property is used to simplify complex expressions and equations into simpler ones. For example, the distributive property allows us to take the expression (x+y) * 5 and rewrite it as x * 5 + y * 5. This makes it easier to work with and solve. The distributive property can be used with addition and multiplication and is one of the most important and useful tools in algebra.

To solve for x, we need to use the distributive property to combine the like terms on the left side of the equation:
2.4x - 9.1x + 12.5x = (2.4 - 9.1 + 12.5)x
= -4.2x
We can now divide both sides of the equation by -4.2 to isolate x:
-4.2x / -4.2 = -39.44 / -4.2
x = 9.44

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The equation that could be represented by the number line is 1+ (-7) = -6. Option A. is the answer

A number line is a line on which numbers are marked at intervals, which is used for illustrating simple numerical operations

Looking at the number line in the image, the arrow from right to left (backward) by 7 steps (-7).

Thus, the equation can be written as 1 + (-7) = -6

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Answer: Domain: All real numbers. Range: (0,-∞)

Step-by-step explanation:

Assuming the arrows denote that this behavior continues for the rest of the function we can say what the domain and range are. Domain is the x-values where this function exists. There are no holes or asymptotes visible so it would appear it exists at all x-values and therefore all real numbers. For the range we can see the line does not go into the positive y-values at all. That means the range is all negative values and no positives, or (0,-∞).

Answer:

-9n - 6

Step-by-step explanation:

1. combine the n's

-3n - 6n = -9n

2. combine the constants

-7 + 1 = -6

The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.

It is TRUE statement.

Now, According to the question:

Let's know:

What is meant by 95% confidence interval?

Strictly speaking a 95% confidence interval means that if we were to take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

                                                      OR

A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. Analysts often use confidence intervals than contain either 95% or 99% of expected observations.

Hence, The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.

It is TRUE statement.

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Answer:

25° × π/180 is = 0.4363rad

Step-by-step explanation:

The percent of change 8 to 2

The distance between the airplanes changing is  -390.

The miles from the airport to Airplane A can be calculated as follows: a = 30 -250t, where t is in hours.

b = 40 -300t

Using the Pythagorean theorem, one can calculate the separation (d) between the aircraft:

d^2 = a^2 + b^2

2dd' = 2aa' + 2bb', and d' = (aa' + bb')/d.

a = 30 -2500 = 30 a' = -250 b = 40 -3000 = 40 b' = -300

d = √(a²+b²) = √(900+1600) = 50

Then, d' = (30(-250) +40(-300))/50 = -19500/50 = -390

At a speed of 390 miles per hour, the space between the aircraft is closing.

The distance between the two planes is going to be the square root of six, therefore if we solve for d, multiply both sides of this equation by the square root of six, we obtain six is equal to negative d, or d is equal to negative six.

For a commercial airliner, separation will typically be at least 3 miles laterally or 1,000 feet vertically (as stated in the question). The 5 mile rule is applied laterally in the enroute environment, at greater operating speeds over 10,000 feet, depending on the kind of radar and distance from the antennae.

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Answer:

x=60

Step-by-step explanation:

these shapes seem to be flipped

side WZ seems to be similar to PS

and Side ZY seems to be similar to RS

ewe can make ratios on the side lengths

40/75=32/x

cross multiply

40x=75(32)

40x=2400

/40.  /40

x= 60

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Answer:

Step-by-step explanation:

well this makes no sese is there any pics

Eh I don't know ???

Picture should be shown...

The solution for definite integral ∫2^x dx from [−1,1] is

 3/ 2 ln2

Definite Integral:

A definite integral is defined as the exact limit and summation examined in the previous section to find the net area between the function and the x axis. Also note that the definite integral notation is very similar to the indefinite integral notation. The reason for this will become clear in due course.

There are a few terms that should be left out along the way. The number "a" below the integral sign is called the lower integral limit, and the number "b" above the integral sign is called the upper integral limit. Even if the intervals a and b are specified, the lower bound is not necessarily less than the upper bound. Collectively, a and b are often referred to as the interval of integration.

Given a function :

f(x) that is continuous function on the interval [a , b]

we divide the interval into n subintervals of equal breadth, Δx, and from each interval choose a point, x i. Then the definite integral of f(x) from a to b is

[tex]\int\limits^b_a f(x) \, dx = \lim_{n \to \infty} f(xi)[/tex] Δx.

According to the question:

let's start by differentiating 2ˣ.

   y = 2ˣ

⇒ ln y = x ln 2

⇒ 1/y dy/dx = ln2

⇒ d /dx = y ln 2 = 2ˣ ln2

So remembering integration is the reverse of differentiating.

  y = 2ˣ

⇒ dy/dx = 2ˣ ln 2

⇒ ∫2ˣ dx = 2ˣ / ln 2 + C

2ˣ > 0, ∀ x ∈ R, there is no negative area so we can

Insert the limits and evaluate immediately.

= 1/ ln2 [2x][tex]\left \{ {{y= -1} \atop {x=1}} \right.[/tex]

= 1/ln 2  (2¹ - 2⁻¹)

= 3/ 2ln 2

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There are 30-megawatt hours (MWh) per year of savings the students had identified for computers at the Penn State Mueller Laboratory Building.

"Information available from the question"

How many megawatt hours (mwh) per year of savings did the students identify for computers at the Penn state Mueller laboratory building?

Now, According to the question:

There are 30-megawatt hours (MWh) per year of savings the students had identified for computers at the Penn State Mueller Laboratory Building.

At Pennsylvania State University, an undergraduate class studied an environmental evaluation in one of their laboratory buildings in biology. They want to answer the question, "How is this building like an ecosystem?" Their evaluation result was a report that contains 52-page noting ways to lessen the Mueller Laboratory Building’s environmental footprint in  of water, energy communications, maintenance, renovation, and food usage. The students establish techniques to save an almost $45,500 yearly in the energy cost alone for a building with 123 scientists and backing staff.

Hence, There are 30-megawatt hours (MWh) per year of savings the students had identified for computers at the Penn State Mueller Laboratory Building.

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The equation which shows the correct way to find the product out of the exponents is (A) (y∧a)∧b=y∧a⋅b.

The way of representing huge numbers in terms of powers is known as an exponent.

Exponent, then, is the number of times a number has been multiplied by itself.

For instance, the number 6 is multiplied by itself four times, yielding 6 * 6  * 6 * 6.

We can write this as 64. Here, 4 is the exponent, and 6 is the base.

So, multiply the exponents to find the product as follows:

(W^c)^d = W^c•d (RULE)
So, we will  have:

(y∧a)∧b=y∧a⋅b

Therefore, the equation which shows the correct way to find the product out of the exponents is (A) (y∧a)∧b=y∧a⋅b.

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Correct question:
Which equation shows that you can find the power of power by finding the product of the exponents?

clear check

a. (y∧a)∧b=y∧a⋅b

b. (ya)∧b=ya∧b

c. (y∧a)b=ya∧b

d. (y∧a)∧b=ya ⋅ b

Answer:

/x/=3 then x value has 3 and -3

Answer:

The required equation has only two solution x = 3 and x = -3 is x2 -9

Step-by-step explanation:

Answer:rise over rub

Step-by-step explanation:

The true or false values of the statements are:

From the question, we have the graph which represents the given parameters that can be used in our computation

Analysing the graph, we have:

The graph crosses the y-axis at y = 18

This means that the y-intercept of the graph is

y-intercept  = 18

This in other word mean that:

The cost of the book is $18

So, (a) is true

Also, the graph crosses the x-axis at x = 90

This means that the x-intercept of the graph is

x-intercept  = 90

This in other word mean that:

Giselle gets $18 if she pulls all the weed (i.e. 90 weeds) in the garden

So, (b) and (d) are true

The amount paid by her grandma is calculated as

Amount = 18/90

Amount = 1/5

So, (c) is true

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