The line shown represents the value y of change June has in her change jar. 1 week ago, she had $2 in the jar. What is an equation of the line in
point-slope form?
6
4
-2
O
2
O A. y - 2 = 4(x +1)
o B. y - 1 = 4(x+2)
OC. y + 2 = -4(X +1)
D. y + 1 = 4(x + 2)

The ratio of the volume of the triangular prism to the volume of the cuboid is 3: 20

The base of the triangular prism is a right triangle with legs 5 cm, 4 cm

∴ b = 5 cm and h = 4 cm

∵ Its height is 9 cm

∴ H = 9 cm

Substitute them in the rule of the prism above

∴ V = 90 cm³

The dimensions of the base of the cuboid are 6 cm and 5 cm

∴ L = 6 cm and W = 5 cm

∵ Its height is 20 cm

∴ H = 20 cm

→ Substitute them in the rule of cuboid

V = 6 × 5 × 20

V = 600 cm³

Find the ratio between them

∵ V: V = 90: 600

= 3 : 20

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Find the ratio of the volume of the triangular prism

to the volume of the cuboid.

Answer:

Hope the picture will help you.......

hello mai brou tenkuiusnriejqbe

P(X = 5)P(X = 5) is the probability of getting exactly 5 successes. It is calculated as follows: P(X = 5) = ${10\choose 5}$ $0.02^5$ $(1-0.02)^{10-5}$P(X = 5) = 0.002991Round your answer to six decimal places, which is 0.002991.

b. P(X ≤ 2)P(X ≤ 2) is the probability of getting at most 2 successes. It is calculated as follows\(:\(P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)P(X ≤ 2)\)= \((0.98)^10 + ${10\choose 1}$ $0.02$ $(0.98)^9$ + ${10\choose 2}$ $0.02^2$ $(0.98)^8$P(X ≤ 2)\)= 0.978371Round your answer to six decimal places, which is 0.978371.c. P(X ≥ 9)P(X ≥ 9) is the probability of getting at least 9 successes. It is calculated as follows:P(X ≥ 9) = P(X = 9) + P(X = 10)P(X ≥ 9) = ${10\choose 9}$ $0.02^9$ $(0.98)$ + ${10\choose 10}$ $0.02^{10}$P(X ≥ 9) = 0.000013Round your answer to six decimal places, which is 0.000013.

d. P(3 < X < 7)P(3 < X < 7) is the probability of getting between 4 and 6 successes. It is calculated as follows:P(3 < X < 7) = P(X = 4) + P(X = 5) + P(X = 6)P(3 < X < 7) = \(${10\choose 4}$ $0.02^4$ $(0.98)^6$ + ${10\choose 5}$ $0.02^5$ $(0.98)^5$ + ${10\choose 6}$ $0.02^6$ $(0.98)^4$P(3 < X < 7)\)= 0.014378Round your answer to six decimal places, which is 0.014378.

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Step-by-step explanation:

×=100

1. Divded 35 by 14 and u get 0.4

2

Divided 40 by 0.4 and u get 100

Answer:

16

Step-by-step explanation:

You could solve it two ways:

Cross multiply:

x times 35 = 35x

40 times 14 = 560

35x divided by 35 = x

560 divided by 35 = 16

x = 16

Or:

35 divided by 14 = 2.5

40 divided by 2.5 = 16

x = 16

Answer:

D. x ≥ 0

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We can see that our x-values span from 0 to infinity. Since 0 is a closed dot, it is included in our domain:

[0, ∞) or x ≥ 0

The 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is  403.538.

Given:

The lifetimes of light bulbs of a particular type are normally distributed with a mean of 392 hours and a standard deviation of 9 hours.

P(z<=?) = 0.90

z = 1.282

1.282 = x - mean / standard deviation

1.282 = x - 392 / 9

1.282 * 9 = x - 392

11.538 = x - 392

x = 392 + 11.538

x = 403.538.

Therefore the 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is 403.538.

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Answer:

a(n)= 4*n+1

a(n+1)=5+4*n

Step-by-step explanation:

The sequence   5, 9, 13, 17 is the ariphmetic progression where a(1)=5 is the first member of the progression and the diference is d=9-5=4 (the distance between the neighboring members)

For ariphmetic progression is known that n- term is equal to

a(n)=a(1)+d*(n-1)

So for our case

a(n)=5+4(n-1)=5+4n-4=4n+1

a(n+1)= 5+4(n+1-1)= 5+4n

Answer:

78°

Step-by-step explanation:

Theorem of vertical angles says that the opposite angle formed by two intersecting lines are congruent

So x = 78°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x = 78

Step-by-step explanation:

The angle labeled x and the angle with a measure of 78° are vertical angles

Vertical angles are congruent ( equal to each other )

So if "x"'s vertical angle has a measure of 78 degrees than x also has a measure of 78 degrees.

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

A = {1, 3, 5, 7, 9}

B = {2, 4, 5, 6, 7}.

A = {1, 3, 5, 7, 9}

B' = {1,3,8,9,10}

A U B' = {1,3,5,7,8,9,10}

Answer:

A U B' = {1,3,5,7,8,9,10}

Answer:  

the answer is x + 5y + 8.

Frank cannot recover the reward because he was unaware of the reward being offered by Emma.

In order to claim the reward, one typically needs to have knowledge of the reward prior to finding and returning the lost item or fulfilling the specified condition. Since Frank was unaware of the reward, he would not have had the opportunity to intentionally seek the dog with the expectation of receiving the reward. As a result, Emma is not obligated to provide the reward to Frank in this situation.

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999999%

Step-by-step explanation:

Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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Answer:

$0.99

Step-by-step explanation:

15x0.066=0.99

Answer:

5x²+7x-4

Step-by-step explanation:

Given: (7x²+2x-1)-(2x²-5x+3)

Distribute: 7x²+2x-1-2x²+5x-3

Rearrange: 7x²-2x²+5x+2x-3-1

Combine like terms: 5x²+7x-4

Your final answer is thus 5x²+7x-4

a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.

Here we already have the data available to us. From the data, we can clearly see that

Mode < Mean < Median

Hence this is a negatively skewed distribution.

Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.

Hence we can say that the median will a more appropriate measure.

Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.

Since now this will become multivariate data, the best measure of central tendency will be Mean.

The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.

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The calculated value of the commission percentage is 4%

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

Hourly rate = $15

Commission = x%

So, the function of the earnings is

f(x) = x% * 1400 + Hourly rate * Number of hours

This gives

When the total earning is 176, we have

x% * 1400 + 15 * 8 = 176

This gives

x% * 1400 + 120 = 176

So, we have

x% * 1400= 56

Divide

x = 4

Hence, the commission percentage is 4%

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Answer: svsdvcvsdvsdvsdv

vdsvds

Step-by-step explanation:

ght 4.8 pounds of chocolate covered almonds and 3.7 pounds of yogurt covered almonds how much did he spend

Answer:

43.6

Step-by-step explanation:

Answer:

$4/ticket; .25ticket per dollar

Step-by-step explanation:

Tyler paid $16 for 4 raffle tickets.

Part 1: What is the price per ticket?

Part 2: How many tickets per dollar?

For part 1, you will divide $16 by 4 tickets.

16/4=4

You can get 4 tickets for $16 so that's $4/ticket.

For part 2, you already know that it is $4 for one ticket. The question wants to know how many tickets you will get for $1. To find this answer you will divide 1 by 4.

4/1 = .25

So you can get .25 of a ticket per dollar.

The solution is, The answer is, -2.4, this expression is best represented by the number line model.

We know about number line model:

In mathematics, a number line is a straight line with numbers placed at equal intervals or segments along its length. A number line can be drawn horizontally and extended in any direction indefinitely.

Because the line has four segments and a -2 interval, option F is accurate.

As a result, it can write -2.4.

The solution is, The answer is, -2.4, this expression is best represented by the number line model.

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Formula for A in terms of B: A = ∫(B × r') / ||r - r'|| dr'

The missing link in the triangle summarizing the mathematical connections between A and B can be filled by writing down a formula for A in terms of B. This can be done by using the analogy between the equations defining A and the basic Maxwell's equations for B, and applying the Biot-Savart law. By using the basic idea from the first part, the vector potential in a situation where B is constant can be quickly found.

Physical situation creating constant B field:

A constant B field can be created by a current-carrying wire in the form of a straight line or a circular loop. The vector potential for this configuration can be found using the formula derived above.

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Answer:

10/3 liters

Step-by-step explanation:

Divide (4/3) by 2, then multiply by 5

Answer:

10/3 liters

Step-by-step explanation:

Your welcome, hope this helps you

The Laplace transform of the output displacement \(\( y(t) \)\), represented by \(Y(s) = \frac{Y(s)(s^2+\omega^2)}{\omega}\).

To determine the Laplace transform \(\( Y(s) \)\) of the output displacement \(( f(t) = \sin(\omega t))\), we need to find the transfer function \(\( Y(s)/F(s) \)\) of the system.

Given the input \(\( f(t) = \sin(\omega t) \)\), we can represent it in the Laplace domain as F(s). Since the Laplace transform of \(\( \sin(\omega t) \)\) is \(\( \frac{\omega}{s^2+\omega^2} \)\), we have \(\( F(s) = \frac{\omega}{s^2+\omega^2} \).\)

The transfer function \(\( Y(s)/F(s) \)\) represents the relationship between the output Y(s) and the input F(s). By substituting the given transfer function into the Laplace domain equation, we have:

\(\[ \frac{Y(s)}{F(s)} = \frac{Y(s)}{\frac{\omega}{s^2+\omega^2}} \]\)

To find Y(s), we can rearrange the equation as:

\(\[ Y(s) = \frac{Y(s)}{\frac{\omega}{s^2+\omega^2}} \cdot \frac{s^2+\omega^2}{\omega} \]\)

Simplifying further, we get:

\(\[ Y(s) = \frac{Y(s)(s^2+\omega^2)}{\omega} \]\)

Therefore, the Laplace transform of the output displacement y(t), represented by Y(s), is given by the equation:

\(\[ Y(s) = \frac{Y(s)(s^2+\omega^2)}{\omega} \]\).

This equation establishes the relationship between the output's Laplace transform and the input's Laplace transform, allowing us to analyze the system's behavior in the frequency domain.

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Answer:

24.93

First add all then subtract by 100

To transform the left side into the right side, we should use the double angle formula for cosine and simplify the left side.

To verify the given identity, we can start by using the double angle formula for cosine, which states that \(cos 2x = cos^2 x - sin^2 x\).

Substituting this expression into the original equation, we get:

\(sin^2 x + (cos^2 x - sin^2 x) = cos^2 x\)

Simplifying the equation further, we have:

\(sin^2 x + cos^2 x - sin^2 x = cos^2 x\)

The \(sin^2 x\) and\(-sin^2 x\) terms cancel each other out, leaving us with:

\(cos^2 x = cos^2 x\)

This shows that the left side is indeed equivalent to the right side, verifying the given identity.

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The limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.

In this series, each term consists of the expression (5n⁵) divided by (\($4n^{5.5}$\)). We can simplify this expression by canceling out common factors:

\(\(\frac{{5n^5}}{{4n^{5.5}}} = \frac{5}{4} \cdot \frac{{n^5}}{{n^{5.5}}} = \frac{5}{4} \cdot \frac{1}{{n^{0.5}}} = \frac{5}{{4n^{0.5}}}\)\)

Now, let's analyze the behavior of the terms as n approaches infinity. As n increases, the denominator \($n^{0.5}$\) grows larger while the numerator remains constant. Consequently, the value of each term approaches zero.

Since the series consists of an infinite sum of terms approaching zero, the sum of the series also approaches zero as the number of terms increases.

Therefore, the limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.

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Answer:

THE one with the u shape going up, and the the red line in the tilting to the left.