what is the slope of the line that passes through the points (-9,0) and (-17,4)? write your answer in simplest form

The coefficient of (3y² + 9)5 is 15.

A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.

Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.

a₀ is the leading coefficient.

In the question, we are asked to identify the coefficient of (3y² + 9)5.

First, we expand the given expression:

(3y² + 9)5

= 15y² + 45.

Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.

Thus, the coefficient of (3y² + 9)5 is 15.

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Answer:

it is d i took the quiz

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i took the quiz

Answer:

22 hours

Step-by-step explanation:

since Meisy traveled a total of 1320 miles and the average speed is 60m/p then you need to divide 60 from 1320 which would give you 22 hours

Answer:

The toad trip took 22 hours.

Step-by-step explanation:

Time equals distance divided by speed, therefore the time the road trip would take would be equal to...

1320 / 60 = 22

Therefore the toad trip took 22 hours.

The required answer considering the given scale are;

i. length of the path on map = 3.6 cm

ii. value of k = 0.02 cm

Scale drawing

A scale is a representative factor that can be used to either increase or decrease the dimensions of a given object.

So that;

scale =  length of drawing/ original length

In the given question, the scale given is a reduced scale.

scale = 1/ 5000

         = 0.0002

Thus;

i. Given that the length of a path is 180 m, the length on the map can be determined by;

     180 m x 0.0002 = 0.036 m

The length on the map = 0.036 x 100

                                       = 3.6 cm

ii. The value of k = length of drawing/  original length

   k  = 1/ 5000

         = 0.0002 x 100

   k = 0.02 cm

The value of k = 0.02 cm.

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The distance between two vertical white gridlines on a graph typically represents a specific interval or scale.

Based on the options you provided, the correct answer would depend on the context of the graph.

If the graph is displaying population data over time, the distance between two vertical white gridlines could either represent:

- A time span of 20 years
- A time span of 50 years

If the graph is displaying population increase directly, the distance could represent:

- A population increase of 20 million
- A population increase of 2 billion

To determine the correct answer, please examine the labels and context of the graph you are analyzing.

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Answer: -2(x+5)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Using the nth term rule and a₁ = 6 , then

a₂ = a₁ + 4 = 6 + 4 = 10

a₃ = a₂ + 4 = 10 + 4 = 14

a₄ = a₃ + 4 = 14 + 4 = 18

The first 4 terms are 6, 10, 14, 18

Step-by-step explanation:

........ .......... ....

Answer: 0.39

Step-by-step explanation:

We are required to determine the the value of f, rounded to the nearest hundredth

The value of f, rounded to the nearest hundredth is 0.39

Given function:

\(d(v) = \frac{2.15 {v}^{2} }{64.4f} \)

Where,

d = stopping distance in feet

v = initial velocity in miles per hour

f = a constant related to friction

When

v = 40 mph

d = 138 ft

f = ?

\(d(v) = \frac{2.15 {v}^{2} }{64.4f} \)

\(138= \frac{2.15 {(40)}^{2} }{64.4f} \)

138(64.4f) = 2.15(1600)

8,887.2f = 3440

f = 3440 / 8,887.2

f = 0.3870735439733

Approximately to the nearest hundredth f = 0.39

Therefore, the value of f, rounded to the nearest hundredth is 0.39

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Answer:

2/3

Step-by-step explanation:

The first person to make me become Brainliest wins the official contest!!! Hurry!

Answer:

I'm not sure but it might be 2/3????? That's just from looking at Spatrickfarley's answer. He deserves Brainliest!

Answer:

if you are looking for the area, it would be 22ft

Step-by-step explanation:

Answer:

About 11.7

Step-by-step explanation:

In order to find the hypotenuse (if this is what you are looking for), you would use pythagorean theorem. This states : A squared + B squared = C squared. Our legs that you have given us (A and B) are 11 and 4. When we square these values, we get 121+16=137. Now we square the value of 137. To square the value, multiply numbers until you reach this number. Because the value 137 is odd, it will end up being a decimal when squared which is about 11.7

I also want to point out that all hypotenuse will be longer than the legs.

1.1.1 Short-term investment: An example of a short-term investment is investing in a 3-month Treasury bill. These are government-issued debt securities with a maturity of less than one year, providing a relatively low-risk investment option with a fixed interest rate.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a maturity of 5 years. Corporate bonds offer a higher yield compared to government bonds, making them suitable for investors with a moderate risk appetite seeking stable income over a longer time horizon.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. Stocks represent ownership in a company and have the potential for higher returns over an extended period, although they also involve higher risk.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. These bonds pay a fixed interest rate over the bond's duration, providing a predictable stream of income for the investor.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. The mortgage payment remains constant throughout the loan term, typically spanning several years, and includes both the principal repayment and the interest charged by the lender.

1.1.1 Short-term investment: A short-term investment option is the 3-month Treasury bill. Treasury bills are considered low-risk investments issued by the government, and they offer a fixed interest rate that is determined through an auction process. Investors can purchase Treasury bills directly from the government or through a broker.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a 5-year maturity. Corporate bonds are issued by companies to raise funds, and they pay a fixed interest rate to bondholders over the bond's duration. The bond's yield and risk profile depend on the creditworthiness of the issuing company.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. A diversified portfolio consists of a mix of stocks from different sectors and regions, spreading the risk across multiple companies. The goal is to achieve long-term capital appreciation and potentially earn dividends from the stocks held in the portfolio.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. Government bonds are issued by national governments to finance their operations. The bond's interest rate is fixed at the time of issuance, and the investor receives periodic interest payments until the bond reaches maturity, at which point the principal amount is returned.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. When purchasing a property with a mortgage loan, the borrower agrees to make fixed monthly payments that include both the principal repayment and the interest charged by the lender. The monthly payment amount remains constant throughout the mortgage term, typically ranging from 15 to 30 years.

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Null hypothesis: Gender and flight destination preference are independent.

Alternative hypothesis: Gender and flight destination preference are not independent.

The null and alternative hypotheses for this chi-square test can be stated as follows:

Null hypothesis (H0): Gender and flight destination are independent variables. There is no association between gender and preferred flight destination

Alternative hypothesis (H1): Gender and flight destination are dependent variables. There is an association between gender and preferred flight destination.

To calculate the chi-square statistic, we need to first construct the observed and expected contingency table. The degrees of freedom for a chi-square test in this case can be calculated as (number of rows - 1) * (number of columns - 1), which in this case is (2 - 1) * (4 - 1) = 3.

Using the chi-square table or a statistical software, we can find the critical chi-square value at a 2% significance level with 3 degrees of freedom.

The decision rule at the 2% significance level is: If the calculated chi-square statistic is greater than the critical chi-square value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

After calculating the chi-square statistic and comparing it with the critical chi-square value, we can make a decision. If the calculated chi-square statistic is greater than the critical chi-square value, we reject the null hypothesis, indicating that there is a significant association between gender and preferred flight destination. If the calculated chi-square statistic is less than or equal to the critical chi-square value, we fail to reject the null hypothesis, suggesting that there is no significant association between gender and preferred flight destination

A graph can be created to illustrate the decision, with the calculated chi-square statistic compared to the critical chi-square value at the 2% significance level. The key numerical values, such as the observed and expected frequencies, can be included in the graph.

Based on the decision made, there are two types of errors that can occur:

Type I error: Rejecting the null hypothesis when it is actually true, indicating a false positive result.

Type II error: Failing to reject the null hypothesis when it is actually false, indicating a false negative result.

The conclusion of the test should be interpreted in the context of the specific hypothesis and the significance level chosen.

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Answer:

> hope I helped please mark brainlist

The exercise involves calculations with matrices A, B, and C. We need to determine if matrix products AB, BA, BC, and CB are defined. Additionally, we need to calculate the specific matrix products and determine if BC is equal to CB.

Let's perform the calculations step by step:

(a) To determine if AB is defined, we need to check if the number of columns in matrix A is equal to the number of rows in matrix B. If they are equal, the matrix product AB is defined. If not, the product is not defined.

Matrix A has 2 columns and matrix B has 2 rows, so the product AB is defined.

Calculating AB:

AB = [23 + 83 20 + 88]

[23 + 03 20 + 08]

= [30 64]

[6 0]

To calculate BA, we need to check if the number of columns in matrix B is equal to the number of rows in matrix A. In this case, matrix B has 2 columns and matrix A has 2 rows, so the product BA is also defined.

Calculating BA:

BA = [32 + 02 38 + 02]

[32 + 02 38 + 02]

= [6 24]

[6 24]

(b) To determine if BC is defined, we need to check if the number of columns in matrix B is equal to the number of rows in matrix C. In this case, both matrices have 2 columns and 2 rows, so the product BC is defined.

Calculating BC:

BC = [26 + 85 23 + 81]

[06 + 05 03 + 01]

= [52 22]

[0 0]

To calculate CB, we need to check if the number of columns in matrix C is equal to the number of rows in matrix B. In this case, matrix C has 2 columns and matrix B has 2 rows, so the product CB is also defined.

Calculating CB:

CB = [62 + 30 68 + 30]

[52 + 10 58 + 10]

= [12 48]

[10 40]

Is it true that BC = CB?

BC = [52 22]

[0 0]

CB = [12 48]

[10 40]

BC and CB are not equal. The matrix product is not commutative, so BC and CB may yield different results.

In summary:

(a) AB is defined and the result is:

AB = [30 64]

[6 0]

BA is also defined and the result is:

BA = [6 24]

[6 24]

(b) BC is defined and the result is:

BC = [52 22]

[0 0]

CB is also defined and the result is:

CB = [12 48]

[10 40]

BC and CB are not equal, indicating that matrix multiplication is not commutative.

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the correct answer is (A) The set of all ordered pairs (x, y) such that y less than or equal to (8 - x²).

To determine the domain of the function f(x,y) = 6 ×(8 - x² - y)^(0.5), we need to find the values of x and y for which the expression under the square root is non-negative.

8 - x² - y ≥ 0

y ≤ 8 - x²

This means that the domain of f(x,y) in the xy plane is the set of all ordered pairs (x,y) such that y is less than or equal to 8 - x².

Therefore, the correct answer is (A) The set of all ordered pairs (x, y) such that y less than or equal to (8 - x²).

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There are a total of 36 boxes of popcorn with each box containing 2 popped kernels except for the last box which contains 1 popped kernel.

If there are 85 kernels in a pound of popcorn, then we can assume that there are 84 boxes of popcorn with each box containing one kernel less than the previous box. The last box will contain only one kernel.

Following formula should be used to find the sum of the first n natural numbers:

n(n+1)/2.

Therefore, the number of boxes required to hold all the popped kernels is given by solving the equation:

n(n+1)/2 = 84

Solutions for the quadratic equation can be found as:

n = -9 or n = 8

Since we cannot have a negative number of boxes, therefore, we take:

n = 8.

Therefore, there are a total of 36 boxes of popcorn with each box containing 2 popped kernels except for the last box which contains 1 popped kernel.

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The number of boxes required for the popped corn can be calculated by dividing the total number of popped kernels by the capacity of each box. To do this, we need to know the yield of the popcorn, which means the ratio of popped kernels to unpopped kernels.

Let's assume that the yield of the popcorn is 10:1, which means that for every 10 unpopped kernels, 1 kernel pops. Therefore, there would be 10 x 16 = 160 unpopped kernels in a pound of popcorn.

Assuming that each box can hold 100 popped kernels, we can calculate the total number of boxes required as follows: Total number of popped kernels = 1 lb of popcorn x 10 (yield) = 1600 popped kernels Number of boxes required = 1600 popped kernels ÷ 100 kernels per box = 16 boxes

Therefore, 16 boxes are needed to hold all the popped kernels. The last box will be partially filled, and the number of popped kernels in it can be calculated by subtracting the number of kernels in the other 15 boxes from the total number of popped kernels:

Number of kernels in the last box = 1600 popped kernels - (15 boxes x 100 kernels per box) = 100 popped kernels Hence, there are 16 boxes required to hold all the popped kernels, with the last box having 100 popped kernels in it.

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Answer:

where is tge other half question?

9514 1404 393

Answer:

  y -3 = 1/2(x -4)

Step-by-step explanation:

In point-slope form, the equation of the desired line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

Comparing this to the given equation, ...

  y = 1/2(x +4)

we see the given line has a slope of 1/2 and goes through point (-4, 0). Using the same slope for the parallel line, the equation for point (4, 3) is ...

  y -3 = 1/2(x -4)

IF AB=3x, BC=x+5 and AC=24 then the midpoint of AC is point B.

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

WE have given that AB=3x, BC=x+5 and AC=24. Since B is the midpoint, then we have:

AB = BC = AC/2

Now Substitute and solve for x:

AB = BC

x + 5 = 3x

x + -3x = -5

2x = 5

x = 5/2

AB = 3(5/2) = 15/2

BC = x + 5 = 5/2 + 5 = 15/2

Hence, the midpoint of AC is point B.

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Answer:

D

Step-by-step explanation:

This would be using the SSS.

Which means knowing three sides.

The other options do not relate to any of the SSS, SAS, ASA, RHS

Hope that helped!!! k

Triangles A, B, and C have a scale factor less than 1 in common

The figure that completes the question is added as an attachment

From the figure, we can see that triangles A, B, and C are smaller than the original triangle i.e. the triangle D

This means that triangle D is dilated by a scale factor less than 1 to form each of these triangles

This has just a slight difference to (a)

From the figure, we can see that triangles E, F, and G are bigger than the original triangle i.e. the triangle D

This means that triangle D is dilated by a scale factor greater than 1 to form each of these triangles

The conclusion about the scale factors is that

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The surface area of the cuboid is 126cm²

a cuboid is a solid shape or a three-dimensional shape. A convex polyhedron that is bounded by six rectangular faces with eight vertices and twelve edges is called a cuboid. A cuboid is also called a rectangular prism.

A cuboid has six faces. The total surface area of the cuboid is obtained by adding all the area of the faces.

SA = 2(lb+lh+bh)

SA = 2(3×5+3×6+5×6)

SA = 2( 15+18+30)

SA = 2( 63)

SA = 126cm²

therefore the surface area of the cuboid is 126cm²

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A Venn diagram is a graphical representation of all possible logical relationships between a finite collection of sets. Venn diagrams are used to visualize how different sets overlap and the relationship between different groups of objects.

Venn diagrams are often used in statistics and probability to illustrate the relationship between different events.

In the context of probability, events A, B, and C are considered independent if the occurrence of one event does not affect the probability of the other events occurring. In other words, the probability of each event is independent of the other events.

To create a Venn diagram that illustrates three independent events A, B, and C, you would first draw three circles that are not overlapping.

Each circle represents one of the three events. Next, you would label each circle with the name of the corresponding event. In order to make the size of each circle proportional to the probability of the event occurring, you would adjust the size of each circle according to the probability of that event.

The larger the probability, the larger the circle. Finally, you would indicate the area of overlap between each pair of events. Because the events are independent, there should be no overlap between any of the circles. The Venn diagram would look something like this: In summary, to illustrate three independent events A, B, and C using a Venn diagram, you would draw three non-overlapping circles that represent each event and adjust their size to be proportional to the probability of that event.

There should be no overlap between any of the circles since the events are independent.

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To determine how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis, we need to first establish a hypothesis test. A hypothesis test is a statistical procedure that helps us determine if there is enough evidence to support a particular hypothesis.

In a hypothesis test, we start with a null hypothesis (H0) which is a statement that there is no significant difference between two groups or variables. The alternative hypothesis (Ha) is the statement that there is a significant difference between the two groups or variables.

Once we have established our null and alternative hypotheses, we need to conduct a statistical test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. The test statistic is the numerical value that we obtain from our statistical test, which we compare to a critical value to determine if we can reject the null hypothesis.

The critical value is determined by the level of significance (α) we have chosen for our test, which is the probability of making a type I error (rejecting the null hypothesis when it is actually true). Typically, the level of significance is set at 0.05 or 0.01.

So, to answer the question, how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis depends on the level of significance we have chosen, as well as the degrees of freedom and distribution of the test statistic. The critical value for a given level of significance and degrees of freedom can be found in statistical tables or calculated using software. If the test statistic is larger than the critical value, we can reject the null hypothesis in favor of the alternative hypothesis.

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Given

one nanometers equals about 0.000004 inches select from the drop down lists

Answer

Answer:

0 BAC

Step-by-step explanation:

m BAD+m DAC=m BAC(180°)

The value of m(BAD) + m(DAC) is equal to the measure of angle BAC.

Let's use the angle addition postulate to find the value of m(BAD) + m(DAC):

The angle addition postulate states that if you have an angle formed by two rays, say ∠BAD, and  another angle formed by two rays, say ∠DAC, then the sum of their measures is equal to the measure of the angle formed by the original rays extended to meet the rays of the second angle. In other words:

m(BAD) + m(DAC) = m(BAC)

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Answer:

x=4

Step-by-step explanation:

Hey there!

I am going to use this image as an example so you can understand the formula

The formula for problems like these is

B(BA)=D(DC)

So all we have to do is plug in the numeric values

so now we have 5(5+x+3)=6(6+x)

now we just solve for x

5(5+x+3)=6(6+x)

step 1 distribute the 5 to what is in the parenthesis (5, x and 3)

5x5=25

5*x=5x

5x3=15

so now we have

25+5x+15=6(6+x)

step 2 distribute the 6 to what is in the parenthesis (6 and x)

6x6=36

6*x=6x

now we have

25+5x+15=6x=36

step 3 combine like terms, the only like terms are 25 and 15

15+25=40

now we have

40+5x=6x+36

step 4 subtract 5x from each side

5x-5x cancels out

6x-5x=x

now we have

40=x+36

step 5 subtract 36 from each side

40-36=4

36-36 cancels out

now we have

x=4 so we can conclude that x=4

hope this helps :)

Answer:

mad ebe cause we want money and space

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

1,6,9,10,10,11,13,15,15,15

moda-10 and 15

median-10+11/2=10,5

mean-(1+6+9+10+10+11+13+15+15+15)÷10=105÷10=10,5

hope it helps

have a nice day