write the equation of the line in fully simplified slop-intercept form.

please help

Answer:

slope = -5/2

Step-by-step explanation:

We know that slope intercept form is y=mx+b where m is the slope.

We see in the equation that -5/2 is m.

Step-by-step explanation:

a)

9x² - 4 = (3x + 2)×(3x - 2)

6x - 4 = 2×(3x - 2)

x² - 5x = x(x - 5)

(3x + 2)×(3x - 2) / (2×(3x - 2)) =

(3x + 2) / 2

3x / (x(x - 5) = 3 / (x - 5)

now let's multiply the 2 transformed fractions :

(3x + 2)/2 × 3/(x - 5) = (3×(3x + 2)) / (2×(x - 5)) =

= (9x + 6) / (2x - 10)

b)

4/(x + 2) + 1/(x- 1) - 5/x

(4x(x - 1) + x(x + 2) - 5(x + 2)(x - 1)) / (x(x+2)(x-1))

the numerator (upper part of the fraction) is then

4x² - 4x + x² + 2x - 5(x² - x + 2x - 2) =

= 5x² - 2x - 5(x² + x - 2) = 5x² - 2x - 5x² - 5x + 10 =

= -7x + 10

Answer:

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

Given function:

Find f(-7) by plugging in the value of x:

Answer:

1/2

Step-by-step explanation:

0.5 is half of 1 so 1/2 is 0.5 as a fraction

Answer: 6

Step-by-step explanation: 10-4=6

Answer:

Yeah, math math wu wu

Step-by-step explanation:

Answer:

10.5 miles

Step-by-step explanation:

You multiply the distance with the number of times he ran.

Answer:

 65 in

Step-by-step explanation:

The equations of the relationships are y₁ = 2x, y₂ = x² and y₃ = 2ˣ

From the question, we have the following parameters that can be used in our computation:

The table of values

Where, we can see that

Relationship 1: The variable x is doubled

This means that

y₁ = 2x

Also, we have

Relationship 2: The variable x is squared

This means that

y₂ = x²

Lastly, we have

Relationship 3: The number 2 is raised to the power of the variable x

This means that

y₃ = 2ˣ

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The correct answer is a)True  c)True The order of the cyclic group is determined by the number of elements in the group, whereas the order

a. True. If a nonempty subset H of a group G is closed under the binary operation of G, contains the identity element of G, and contains the inverse of each of its elements, then H is a subgroup of G.

c. A is true but B is false. Every cyclic group is indeed abelian, but the order of the cyclic group is not necessarily the same as the order of its generator. The order of the cyclic group is determined by the number of elements in the group, whereas the order of the generator refers to the smallest positive exponent that generates all elements of the group.

a. Zero has no inverse. In the set of real numbers under the usual multiplication operation, the element zero does not have a multiplicative inverse. Every nonzero real number has an inverse, but zero itself does not. In a group, every element should have an inverse, so the set of all real numbers under multiplication does not form a group.

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Answer:

First one! Hours of babysitting

Step-by-step explanation:

15 x y = 90

the variable would be how many hours she worked

Answer:

A

Step-by-step explanation:

she will always charge $15 a hour which makes it independent
as for the amount of hours she has spent would be dependent on how much time she has spent baby sitting

It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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Answer:

224.4

Step-by-step explanation:

102x2.2=224.4

Could I please have Brainliest.

Mr Scott paid $8664 after 3 years.

The algebraic expression that represents the amount of money in Erin's savings account after nine weeks is therefore; A(9) = 182.73 + 12.50 × 9

An algebraic expression consists of variables, constants and terms, and algebraic operators.

The balance in Erin's savings account = $182.73

The amount Erin deposits in her account each week = $12.50

Let A represent the amount of money Erin has in her savings account after n weeks, we get;

After one week, the amount Erin will have in her account can be found using the following equation;

A = 182.73 + 12.50 × 1

The amount she will have after two weeks is therefore;

A = 182.73 + 12.50 × 2

The general equation for the amount Erin will have in her savings account after n weeks is therefore;

A = 182.73 + 12.50 × n = 182.73 + 12.50·n

The algebraic expression that represents the amount of money in Erin's savings account after nine weeks can be found as follows;

The amount of money Erin will have in her savings account after 9 weeks can be obtained by plugging in n = 9, therefore;

A(9) = 182.73 + 12.50 × 9

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Probability of getting two red balls: 0.3529

Probability of getting a red and a blue ball in order: 0.4706

Given that both of the chosen balls are red, the probability that Urn 1 is chosen: 0.3333

To understand why the probability that Urn 1 is chosen, given that both of the chosen balls are red, is 0.3333, we can use Bayes' theorem.

Let's denote the events as follows:

A: Urn 1 is chosen

B: Both chosen balls are red

We are given the following probabilities:

P(B) = 0.3529 (probability of getting two red balls)

P(B') = 1 - P(B) = 1 - 0.3529 = 0.6471 (probability of not getting two red balls)

P(B|A) = 1 (since if Urn 1 is chosen, it contains only red balls)

P(B|A') = 0.4706 (probability of getting a red and a blue ball in order, given that Urn 1 is not chosen)

Now, we can apply Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

We want to find P(A|B), the probability that Urn 1 is chosen given that both chosen balls are red.

Substituting the known values into the formula, we have:

P(A|B) = (1 * P(A)) / P(B)

We can also calculate P(A'|B), the probability that Urn 2 is chosen given that both chosen balls are red, using the complement rule:

P(A'|B) = 1 - P(A|B)

Since we only have two urns, P(A'|B) represents the probability that Urn 2 is chosen given that both chosen balls are red.

The sum of these two probabilities should be equal to 1, so we can write:

P(A|B) + P(A'|B) = 1

Substituting the values we have:

(1 * P(A)) / P(B) + P(A'|B) = 1

Simplifying the equation, we get:

P(A) / P(B) + P(A'|B) = 1

P(A) / P(B) + (1 - P(A|B)) = 1

P(A) / P(B) + 1 - (P(B|A) * P(A)) / P(B) = 1

P(A) / P(B) - (P(B|A) * P(A)) / P(B) = 0

Now, let's substitute the given values:

P(A) / 0.3529 - (1 * P(A)) / 0.3529 = 0

P(A) - P(A) = 0.3529 * 0.3333

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The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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Answer:

10000000000000000000000

Step-by-step explanation:

=================================================

Explanation:

For this problem, we can make a lattice multiplication diagram. Place the digits of 124 across the top of the lattice multiplication box. Then place the digits along the right hand side of the box. Refer to figure 1 in the diagram below. I've color-coded the alternating bands of diagonals to help be able to add the values we need.

In figure 2, I multiplied all of the outer header single-digit values to get two-digit results. For instance, in the bottom right corner we have 4*3 = 12. Note how the 1 and the 2 of "12" is broken up like you see in figure 2. It's important to separate out the digits like this.

This is because we'll be adding along the diagonal color bands. The 2 in the white triangle in the very bottom right corner is the last digit of the product. This matches with 64086e2 having 2 as the last digit.

Then we add along the diagonal pink color band getting 6+1+2 = 9. This is the digit e. So e = 9 (refer to figure 3). The number 64086e2 updates to 6408692

We could keep going with the lattice process, but I'll stop here and move onto the next section below.

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

Let m = 6408692

We can do trial and error to determine what d must be equal to. The list of choices we have are {0,1,2,3,4,5,6,7,8,9}

So let's go through those possible values of d

Since d = 6 and e = 9, this means d+e = 6+9 = 15.

Answer:

1/5

Step-by-step explanation:

Hi there!

To find the answer, use inverse operations to solve.

Multiply 7/15 by 3/7 to isolate the unknown number.

7/15 * 3/7 is equal to 0.2, which can be simplified into fraction form as 1/5.

I hope this helps!

:)

Histograms are primarily used to demonstrate how often data values fall into certain ranges. So, option 3 is correct.

Histograms are graphical representations of a dataset's distribution, with the data separated into intervals or "bins" and the frequency of values falling into each bin represented as bars.

Histograms can be used to find the trends and the specific information in the data for the help of data analyst. They are especially useful for huge datasets when the distribution of values from a simple list may be difficult to understand. Although histogram could be used for more than two data types and but this is not there natural purpose. Hence option option 3 is correct choice.

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Complete question - A data analyst creates a histogram to share in a presentation. what are histograms used to demonstrate?

1. how two or more values contrast and compare

2. how much each part of something makes up the whole

3. how often data values fall into certain ranges

4. how data has changed over time.

Answer:

A”(-3, -18) B” (0, -27) C” (-12, -30)

Step-by-step explanation:

Two transformations have been listed beneath the graph. Complete them in order to get the solution.

The first transformation is a translation. A translation involves moving the shape across the graph without altering its form. To receive the coordinates for this. Add the <-3, -8> given to coordinates A, B, and C. Which should result in the following: A (-1, -6) B (0, -9) C (-4, -10)

Now complete the second transformation, which is a dilation. Dilations happen when a shape is either made smaller or larger by a set number. To complete the second transformation: take the number given: “3” and multiply each number in the coordinate sets you got after the first transformation by this number.

Which should result in: A”(-3, -18) B” (0, -27) C” (-12, -30)

In a probability histogram, there is a correspondence between area and probability. So, the option(d) is right choice for answering this problem.

Probability histograms represent chance of occurrence an event. A probability histogram is a graphical representation that shows the probability of each outcome on the y -axis. It consists of a rectangle centered on for all values x, and the area of each rectangle is proportional to the probability of the corresponding value. The standard normal distribution is a normal probability distribution with μ = 0 and σ = 1. The area above a class interval denotes the chance of occurrence for that class interval. Because the total area under the curve is equal to one, therefore, is a correspondence between area and probability.

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Complete question:

In a probability histogram, there is a correspondence between _______.

a)volume and probability

b) area and volume

c)variation and area.

d) area and probability

Answer:

x=47, y=68

Step-by-step explanation:

Add the two equations. Then we get

-y=-68

y=68

Substituting the value of y in the first equation,

8x-6(68)=-32

8x-408=-32

8x=376

x=47

Answer:

To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.

On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.

Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.

The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.

The analytical balance is the device which is used to measure the mass or weight of the object with high level of precision.

Even using the analytical balance equipment, you do not get the accurate weight. For the measurement of the 0.2 g the precision level is ±0.1 mg.

The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.

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Answer:

a) Circumference of the circle = 56.52 in

b) Area of the circle = 254.34 in²

Step-by-step explanation:

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Note that:

Pizza is Circular in shape

a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the circumference of a circle when given that diameter = πD

Where D = Diameter of the circle = 18 in

π = 3.14

Hence,

Circumference of the circle = 3.14 × 18 in

= 56.52 in

b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the area of a circle = πr²

Radius = Diameter/2

Diameter = 18 in

Radius = 18 in/2 = 9 in

The area of the circle = 3.14 × 9²

= 254.34 in²

Answer:

38 m

Step-by-step explanation:

Set up as proportion and cross multiply to solve:

x/57 = 18.9/28

x = 38.475

Rounded this would be 38 m.

If p varies inversely as the square of q and inversely as r if p equals 36 and Q equals to 3 and R equal to 4, then when q = 5 and r = 4, p = 1.

The relationship between p, q, and r can be represented as:

p ∝ 1/q^2 * 1/r

where ∝ means "varies inversely as".

Substituting the given values into this equation, we get:

36 ∝ 1/3^2 * 1/4

36 ∝ 1/36

Multiplying both sides by 36, we get:

p = 1

So, when q = 3 and r = 4, p = 1.

To find p when q = 5 and r = 4, we use the same equation and solve for p:

p ∝ 1/5^2 * 1/4

p ∝ 1/100

Multiplying both sides by 100, we get:

p = 1

So, when q = 5 and r = 4, p = 1.

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