Write an equation in point-slope form of the line that passes through the point (9, 0) and has a slope of m=−3

Answer:

8. The length of the longest side is 40 ⇒ H

Step-by-step explanation:

8. In the given figure

∵ The triangle has two equal sides 2x + 12 and 5x - 9

→ Equate their expressions to find the value of x

∴ 5x - 9 = 2x + 12

→ Add 9 to both sides

∵ 5x - 9 + 9 = 2x + 12 + 9

∴ 5x = 2x + 21

→ Subtract 2x from both sides

∵ 5x - 2x = 2x - 2x + 21

∴ 3x = 21

→ Divide both sides by 3 to find x

∵ \(\frac{3x}{3}\) = \(\frac{21}{3}\)

∴ x = 7

∵ The longest side is 6x - 2

→ Substitute the value of x in its expression to find its length

∴ The longest side = 6(7) - 2 = 42 - 2

∴ The longest side = 40

∴ The length of the longest side is 40

THE ANSWER IS FALSE

The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

Given that,

Because watching TV via digital streaming is becoming more and more common, tv advertising companies are having a harder time connecting with viewers. 53% of the 2343 American adults surveyed by the Harris Poll on November 13, 2012, claimed they had viewed digitally streamed television content on at least one device.

We have to find what is the sample proportion? firstly, the z-critical value is ? What is the confidence interval at 99%?

We know that,

n = 2343

Point estimate = sample proportion = \(\hat p\) = 0.530

1 - \(\hat p\) = 1 -0.530 = 0.470

At 99% confidence level

α = 1-0.99% =1-0.99 =0.01

α /2 =0.01/ 2= 0.005

Z(α /2) = Z0.005 = 2.576

Z (α/2) = 2.576 = 2.58

Margin of error = E = Z (α/2) × √((\(\hat p\) × (1 - \(\hat p\) )) / n)

=2.576 × (√(0.530×(0.470) /2343 )

= 0.027

A 99% confidence interval for population proportion p is ,

\(\hat p\)- E < p < \(\hat p\) + E

0.530 -0.027 < p < 0.530 +0.027

0.503 < p < 0.556

( 0.503, 0.556 )

Therefore, The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

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Answer:

D: {-1,2,9,-4}

R: {6,0,-3}

Step-by-step explanation:

domain are the x-values

range are the y-values

The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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The angle of intersection, θ, between the curves r1(t) = 2t, t^2, t^3 and r2(t) = sin(t), sin(4t), 3t at the origin is approximately 90 degrees.

The tangent vector of r1(t) at the origin is given by:

r1'(t) = (2, 0, 0)

The tangent vector of r2(t) at the origin is given by:

r2'(t) = (cos(t), 4cos(4t), 3)

Evaluating these tangent vectors at t = 0, we have:

r1'(0) = (2, 0, 0)

r2'(0) = (1, 4, 3)

The dot product of these vectors is given by:

r1'(0) · r2'(0) = (2 * 1) + (0 * 4) + (0 * 3) = 2

The angle between two vectors is given by the formula:

cos(θ) = (r1'(0) · r2'(0)) / (|r1'(0)| * |r2'(0)|)

Substituting the values, we have:

cos(θ) = 2 / (|r1'(0)| * |r2'(0)|)

To find the magnitude of the tangent vectors, we calculate:

|r1'(0)| = sqrt(2^2 + 0^2 + 0^2) = sqrt(4) = 2

|r2'(0)| = sqrt(1^2 + 4^2 + 3^2) = sqrt(26)

Substituting these values, we have:

cos(θ) = 2 / (2 * sqrt(26))

Simplifying further, we find:

cos(θ) = 1 / sqrt(26)

Taking the inverse cosine, we find the angle θ:

θ = acos(1 / sqrt(26))

Evaluating this expression, we find:

θ ≈ 90 degrees

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Answer:

y=9x

Step-by-step explanation:

For these x's and y's, we can notice that y is always equal to 9 times the value of x. 0 equals 9 * 0, 9 equals 9 * 1, 18 equals 9 * 2, 27 equals 9 * 3, and 36 equals 9 * 4.

We have just shown that y equals 9 times x, which is just y=9*x, or y=9x.

Answer:

Calories are transferred to flea beetle = 150 Calories

Calories are transferred to the sparrow = 15 Calories

Step-by-step explanation:

Given:

Calories in grass = 1,500 Calories

Find:

Calories are transferred to flea beetle

Calories are transferred to the sparrow

Computation:

According to food chain level only 10 % of Calorie transferred to the next level.

So,

Calories are transferred to flea beetle = 10% (Calories in grass)

Calories are transferred to flea beetle = 10% (1,500)

Calories are transferred to flea beetle = 150 Calories

Calories are transferred to the sparrow = 10% (Calories are transferred to flea beetle)

Calories are transferred to the sparrow = 10% (150)

Calories are transferred to the sparrow = 15 Calories

It should be noted that to obtain the graph of g(x) = |3x| from one of the basic graphs, we can start with the graph of y = |x|, which is the basic graph for the absolute value function.

First, we need to take the original function g(x) = |3x| and replace x with x/3 to get g(x/3) = |x|. This transformation stretches the graph horizontally by a factor of 1/3, making it narrower.

Next, we need to apply the vertical stretch by a factor of 3 to the graph of y = |x|. This involves multiplying all the y-coordinates of the points on the graph by 3. This transformation will make the graph taller.

Finally, we combine these two transformations by graphing the transformed function g(x/3) = |x| with the vertical stretch by a factor of 3. The resulting graph of g(x) = |3x| will be a taller, narrower version of the basic graph of y = |x|, with the vertex at the origin and the slope changing from negative to positive at x = 0.

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Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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Answer:

C. 7/9 and 0.7 (with bar notation)

Step-by-step explanation:

The division keeps going with the remainder as 7 and 9 can only go into 70 with a 63 so to show the 7 keeps going you would have to use bar notation above 7.

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{18}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{(-2)}}} \implies \cfrac{12}{-1 +2} \implies \cfrac{ 12 }{ 1 } \implies 12\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 12}(x-\stackrel{x_1}{(-2)}) \implies y -6 = 12 ( x +2) \\\\\\ y-6=12x+24\implies {\Large \begin{array}{llll} y=12x+30 \end{array}}\)

= 7.211102550928

The distance is 7.21 units.

Answer:

#13. line QR is 26.

#14. a) x = 2 b) m = 6

Step-by-step explanation:

13. We can use the Pythagorean therom: a^2 + b^2 = c^2

We will substitue PQ for a and PR for b

10^2 + 24^2  = c^2

100 + 576 = c^2

100 + 576 = 676

Then, we find the square root of 676, which is 26.

14. a) 3(2x -1) = 9

we first use distributive property:

6x - 3 = 9

then we add 3 to both sides to counteract the -3:

6x = 12

we divide both sides by 6 to get x alone:

x = 2

b) 3m - 12 = 6

we add 12 to both sides to counteract the -12:

3m = 18

we divide both sides by 3:

m = 6

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

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

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

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Answer:

49.65-50.35

Step-by-step explanation:

0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.

Answer:

Step-by-step explanation:

Answer:

1 4/6 tons.

Step-by-step explanation:

5/6+5/6

Add the numerator first to get 10.

Then convert the fraction from an improper fraction to a mixed number.

I need to know how many days buttttt

1 day = 1 2/3

2 days = 3 1/3

3 days = 5

4 days = 6 2/3

5 days = 8 1/3

6 days = 10

7 days = 11 2/3

Step-by-step explanation:

The chi test statistic value is 7.97

The p-value is less than 0.05

How to find test statistic?

To test whether the viewing audience proportions have changed, we will use a chi-square goodness-of-fit test.

The expected frequencies under the null hypothesis of no change can be calculated as follows:

Expected frequency of ABC viewers = 300 x 0.29 = 87

Expected frequency of CBS viewers = 300 x 0.28 = 84

Expected frequency of NBC viewers = 300 x 0.23 = 69

Expected frequency of independent viewers = 300 x 0.2 = 60

We can calculate the chi-square test statistic as follows:

χ² = Σ (Observed frequency - Expected frequency)² / Expected frequency

χ² = [(93 - 87)² / 87] + [(67 - 84)²/ 84] + [(82 - 69)² / 69] + [(58 - 60)²/ 60]

χ² = 7.97

The degrees of freedom for this test are (4 - 1) = 3, since there are four categories and we estimate one parameter (the total proportion of viewers) from the sample.

Using a chi-square distribution table with 3 degrees of freedom and a significance level of 0.05, we find that the critical value of chi-square is 7.815.

Since the calculated chi-square value (7.97) is greater than the critical value (7.815), we reject the null hypothesis of no change in viewing audience proportions.

To find the p-value, we can use a chi-square distribution table with 3 degrees of freedom and the calculated chi-square value of 7.97. The p-value is the probability of observing a chi-square value as extreme or more extreme than 7.97 under the null hypothesis.

The p-value is less than 0.05 (the significance level), indicating strong evidence against the null hypothesis.

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Answer:

It is already in simplest form :)

Step-by-step explanation:

5/8=5/8

I hope this helps :)

My answer got deleted last time I'm not sure why but here it is again :D

Also please don't just answer question randomly and put you are not sure for the answers when you are answering the question, other people might actually need help :(

Answer:

imma need my points back

Step-by-step explanation:

Answer:

The values that are solutions to K-3 >-2 are -7 and -5. To solve this inequality, we need to isolate the K term on one side of the inequality. We can do this by subtracting 3 from both sides of the inequality, like this:

K - 3 > -2

K - 3 - 3 > -2 - 3

K > -5

Therefore, the solutions to the inequality K-3 >-2 are all values of K that are greater than -5. This means that the values -7 and -5 are solutions to the inequality, but the other values listed are not.

Step-by-step explanation:

Answer:

-2+5x-8x+4

-3x+3

Step-by-step explanation:

Answer:

n^14

Step-by-step explanation:

Simplify. Note that when you have a power on top of a power, you multiply the two powers.

(n^7)^2 = n^(7 * 2) = n^14

n^14 is your answer.

~

Use power rule: (a^b)^c = a^b*c

Solve.

= (n^7)^2

= n^7*2

= n^14

Best of Luck!

If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

Given,

The total amount you had = $150

The amount you spend in each day = $2

Consider the number of days = x

Then the algebraic expression for this situation is 150-2x

Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

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Answer:

pythagorean theorem

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Can Yu Mark Brainliest Plz

The inequality representing Courtney's situation to buy air heads and popcorn is 0.25x + 2y ≤ 12.

Based on the situation of Courtney, we can conclude that she must get the combination in such quantity of each that it's total is less than or equal to 12. Creating the expression according to this statement.

Number of air heads × cost of one air head + number of popcorn × cost of one popcorn ≤ 12

Keep the values in formula to find the inequality

x×0.25 + y×2 ≤ 12

Performing multiplication between the constant and variable

0.25x + 2y ≤ 12

Thus, inequality representing this situation is 0.25x + 2y ≤ 12.

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Answer:

x=-5, 2, 4, -3

Step-by-step explanation:

Factor and you get:

(x−2)(x+3)(x−4)(x+5)

Answer:  the zeros are x = {-5, -3, 2, 4}

Step-by-step explanation:

x⁴ + 2x³ - 25x² - 26x + 120 = 0

Given: x = 2 and x = 4

Use synthetic division to find the reduced polynomial for x = 2 and then x = 4

2 |  1     2     -25     -26     120    

  |  ↓    2        8     -34     -120

     1    4      -17      -60      0  ← remainder

4 |  1    4      -17      -60

  |  ↓   4      32        60

     1    8      15         0  ←  remainder

      1x² + 8x + 15 = 0

      (x + 5) (x + 3) = 0

      x + 5 = 0    x + 3 = 0

        x = -5            x = -3

The zeros are: x = 2, x = 4, x = -5, and x = -3

Answer:

c

Step-by-step explanation: