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The points (-4, k) and (-2, -9) fall on a line with a slope of -9. What is the value of k?
k=

Answer:

13、25、37

Step-by-step explanation:

13,25,27 is an arithmetic progression and the rule is too add 12.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-7)}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-4)}}} \implies \cfrac{-3 +7}{4 +4} \implies \cfrac{ 4 }{ 8 } \implies \cfrac{ 1 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{(-4)}) \implies y +7 = \cfrac{ 1 }{ 2 } ( x +4) \\\\\\ y+7=\cfrac{ 1 }{ 2 }x+2\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 2 }x-5 \end{array}}\)

Answer:

i think 1.8 not sure tho

Answer:

Z-score Formula: z = (x - μ)/σ

Plug in: -0.5 = (x - 12.5)/1.8

Solve: -0.5 * 1.8 = x - 12.5

-0.9 = x - 12.5

-0.9 + 12.5

x = 11.6

Therefore, the height of a peach tree with a z-score of -0.5 is 11.6 feet.

Answer:

\(11x+5\)

Step-by-step explanation:

\((4x + 8) + (7x - 3)\)

\(4x + 8 +7x - 3\)

\(4x+7x+8-3\)

\(11x+5\)

Answer:

8 - 4 x = -(2 x - 17)

Step-by-step explanation:

Solve for x:

-4 (x - 2) = -2 (x - 17/2)

Hint: | Put the fractions in x - 17/2 over a common denominator.

Put each term in x - 17/2 over the common denominator 2: x - 17/2 = (2 x)/2 - 17/2:

-4 (x - 2) = -2(2 x)/2 - 17/2

Hint: | Combine (2 x)/2 - 17/2 into a single fraction.

(2 x)/2 - 17/2 = (2 x - 17)/2:

-4 (x - 2) = -21/2 (2 x - 17)

Hint: | In (-2 (2 x - 17))/2, divide -2 in the numerator by 2 in the denominator.

(-2)/2 = (2 (-1))/2 = -1:

-4 (x - 2) = -1 (2 x - 17)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

Answer: 8 - 4 x = -(2 x - 17)

Since the power series involves terms of the form an3^n and an6^n, we can conclude that the radius of convergence of the power series must be at least 3.

This is because the series converges for values of x that are within a distance of 3 from the origin. However, we cannot say anything about the radius of convergence beyond 3, as the fact that sum(an6^n) diverges tells us nothing about how the power series behaves for values of x greater than 3.
If you have a power series sum(an * x^n) and you're given that sum(an * 3^n) converges while sum(an * 6^n) diverges, we can analyze the radius of convergence (R) using the ratio test.

The ratio test states that if the limit as n approaches infinity of |a_(n+1) * x^(n+1) / (a_n * x^n)| exists and is less than 1, the series converges. If the limit is greater than 1, it diverges. In this case, we have:

1. Convergent series: sum(an * 3^n)
2. Divergent series: sum(an * 6^n)

By applying the ratio test to the convergent series, we get:

lim (n→∞) |(a_(n+1) * 3^(n+1)) / (a_n * 3^n)| < 1

For the divergent series:

lim (n→∞) |(a_(n+1) * 6^(n+1)) / (a_n * 6^n)| > 1

Comparing the two inequalities, we can conclude that the radius of convergence (R) for the power series sum(an * x^n) lies between 3 and 6, i.e., 3 < R < 6.

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Answer:

The last one, d = 13/2

Step-by-step explanation:

First distribute.

Then add 14 on both sides

then subtract 2d on both sides

then divide 2 from both

then you get d= 13/2

It stays improper because thats what you do when solving these equations.

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The statements aren't given; however the number of 1/2 and 1/4 - pound package have been calculated below.

Answer:

Step-by-step explanation:

Given :

A 12 pound block :

Number of 1/2 pound packages that can be obtained :

12 ÷ 1/2 ;

12 * 2/1 = 24 (1/2 - Pound package) can be obtained.

Number of 1/4 pound package that can be obtained :

12 ÷ 1/4

12 * 4 /1 = 48 (1/4 - Pound package) can be obtained

We can obtain twice the number of 1/2 - pound package by using the 1/4 - pound slicing.

Answer:

Step-by-step explanation:

I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:

\(28=100e^{-.0001t}\) and begin by dividing both sides by 100 to get

\(.28=e^{-.0001t}\) . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.

ln(.28) = -.0001t Now it's easy to solve for t.

\(\frac{ln(.28)}{-.0001}=t\) and

\(\frac{-1.272965676}{-.0001}=t\) so

t = 12729.65676 years or rounded, 12730 years.

We start by replacing a=1/4, b=0 and c=-5/6 on both sides of a x (b + c) = (a×b) + (a+c) and compare results

So in 1/4 x (0 + (-5/6)) we solve first the parenthesis (0 + (-5/6))=(-5/6)

Now we solve the product 1/4×(-5/6) = -5/24

Now we replace in the other side

(1/4 × 0) + (1/4 × (-5/6))

First parenthesis: (0) + (-5/24) = -5/24

We conclude that both sides are equal to -5/24! So the property verifies

(Btw this is called distributive property)

Answer:

D) 18

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

\(6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you\)

Answer:

Set your calculator to degree mode.

\( \tan( \alpha ) = \frac{23}{35} \)

\( \alpha = {tan}^{ - 1} \frac{23}{35} = 33.31\)

The angle of elevation of the sun is about 33°.

Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

To find Diogo's optimal bundle, we need to maximize his utility function subject to his budget constraint. The budget constraint is given by:

p1q1 + p2q2 = Y

Substituting the given values:

2q1 + 1q2 = 100

We can rewrite this as:

q2 = (100 - 2q1) / 1

Now, let's maximize Diogo's utility function:

U(q1, q2) = q1^0.2 * q2^0.8

Substituting the expression for q2:

U(q1) = q1^0.2 * [(100 - 2q1) / 1]^0.8

To find the optimal bundle, we need to find the value of q1 that maximizes U(q1). We can do this by taking the derivative of U(q1) with respect to q1 and setting it equal to zero:

dU(q1) / dq1 = 0.2q1^(-0.8) * [(100 - 2q1) / 1]^0.8 - 0.8q1^0.2 * [(100 - 2q1) / 1]^(-0.2) * (-2 / 1) = 0

Simplifying the equation:

0.2[(100 - 2q1) / q1]^0.8 = 0.8

[(100 - 2q1) / q1]^0.8 = 4

Taking both sides to the power of 1/0.8:

(100 - 2q1) / q1 = 4^(1/0.8)

Solving for q1:

100 - 2q1 = 4^(1/0.8) * q1

100 = (4^(1/0.8) + 2) * q1

q1 = 100 / (4^(1/0.8) + 2)

Calculating the value of q1:

q1 ≈ 12.77

Now we can substitute this value back into the budget constraint to find q2:

2q1 + q2 = 100

2(12.77) + q2 = 100

25.54 + q2 = 100

q2 = 100 - 25.54

q2 ≈ 74.46

Therefore, Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

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Answer:

how many fluid ounsous you need

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Base on the similarity principle of triangles, the distance d across the lake as shown is 90 ft.

Two triangles are similar if they are only difference in size but have the same shape.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, let's create a proportion from the triangles since they are similar.

40 / d = 20 / 45

cross multiply

45 × 40 = 20d

1800 = 20d

divide both sides by 20

1800 / 20 = 20d / 20

d = 90 ft

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A. The variable is qualitative because it is a numerical measure is correct answer.

Any variable that isn't numerical is referred to as a qualitative variable or a category variable. It describes information that falls into a category. for instance: Eye color (variables include: blue, green, brown, hazel).

In statistics, qualitative variables are given nominal scales since they cannot be ordered on a numerical scale. Qualitative variables are exactly what the word "nominal" means: names. No ordering is either conceivable or inferred on a nominal scale (except for alphabetical ordering like New York, Washington, West Virginia or Chelsea, Edinburgh, London). In other words, data are classified according to a category on the nominal scale.

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Answer:

44000

Step-by-step explanation:

Answer:

44000

Step-by-step explanation:

i have no phone so i had to use paper and pencil

Answer:

none or vertical

Step-by-step explanation:

I think sorry if I get that wrong

Answer: 20.2 * -2.5ft = -50.5ft

Hence, Winston reach -50.5 feet during his deepest dive.

If your question was this: On Wednesday at 9 a.m., Winston went diving. Near the beach, the ocean’s surface was at an elevation of -2.5 feet. During his deepest dive, Winston reached an elevation that was 20 1/5 times the elevation of the ocean’s surface. What elevation did Winston reach during his deepest dive? Then that should be your answer....                                         I had this question too, and this is what i got....

Hope this helps.... Stay safe and have a Merry Christmas!!!!!! :D

Answer:

ok so first we have to find out how meaning cubes are in each tower so

bob 25*5*6=750

beatrice 12*3*5=180

ok so we want to see how many extra layers bob can add on with beatrices blockes so from looking at bobs tower we can see that 5*6 each layer is 30 so

180/30=6

so bobs will be 31 blocks tall

Hope This Helps!!!

A. The correlation coefficient (r) is given as 29.4%. To find r, divide by 100: r = 0.294. This indicates a positive, but weak, correlation between drop height and duration for the 90 roller coasters.

B. The coefficient of determination (R^2) is the square of the correlation coefficient (r). Calculate R^2 = (0.294)^2 ≈ 0.086. This means that approximately 8.6% of the variation in ride duration can be explained by the variation in drop height.

C. For the Tower of Terror, the regression model may not provide an accurate prediction of ride duration based on its drop height, as it is an outlier with a large drop but a short ride duration. The weak correlation between drop height and duration for the remaining 90 coasters suggests that this model may not be a good predictor for unusual cases like the Tower of Terror.

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Answer:

Five coins are tossed the probability of getting two heads is 5/16.

Step-by-step explanation:

I hope it will be helpful for you.

Answer:

Therefore, the length of the ladder is 13 feet.

Step-by-step explanation:

This is a classic example of a right triangle problem in geometry. The ladder serves as the hypotenuse of the triangle, while the distance from the building to the ladder and the height of the window serve as the other two sides. Using the Pythagorean theorem, we can solve for the length of the ladder:

ladder^2 = distance^2 + height^2 ladder^2 = 5^2 + 12^2 ladder^2 = 169 ladder = √169 ladder = 13

Therefore, the length of the ladder is 13 feet.

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Answer:

3

Step-by-step explanation:

The angle of elevation of the road is approximately 9.48 degrees.

To calculate the angle of elevation of the road, we need to use the tangent function, which relates the opposite side (vertical change) to the adjacent side (horizontal distance). In this case, the vertical change is 100 feet and the horizontal distance is 0.6 miles, which we need to convert to feet.

Convert 0.6 miles to feet

Since 1 mile is equal to 5,280 feet, we can calculate:

0.6 miles * 5,280 feet/mile = 3,168 feet

Step 2: Calculate the angle of elevation

Using the tangent function:

To find the angle, we take the inverse tangent (arctan) of this ratio:

Finally, we convert the angle from radians to degrees:

Rounded to two decimal places, the angle of elevation of the road is approximately 9.48 degrees.

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The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer:

Is the answer 9 .please mark me as brainliest

The requried length of the line segment on number line SU is 25 units.

To find the length of the line segment SU, we need to subtract the coordinates of S from the coordinates of U and take the absolute value. So we have:

|SU| = |U - S| = |10 - (-15)| = |25| = 25

Therefore, the length of the line segment on number line SU is 25 units.

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