Consider the line y=-2/3x+8. Find the equation of the line that is perpendicular to this line and passes through the point (3,-2). Find the equation of the line that is parallel to this line and passes through the point (3,-2).

Answer:

The answer is Linear absolute value .

I hope I helped ;-)

Step-by-step explanation:

Answer:

x = 70

Step-by-step explanation:

The two angles are same side interior angles and same side interior angles add to 180

45+ (2x-5) = 180

Combine like terms

2x +40 = 180

Subtract 40 from each side

2x+40-40 =180-40

2x =140

Divide by 2

2x/2 = 140/2

x = 70

Answer:

x=70

Step-by-step explanation:

hope it helped! :)

have a nice day

The sampling method used in the given study is stratified sampling. In this method, the population is divided into homogeneous groups called strata, and a random sample is selected from each stratum to form the final sample. stratified sampling is a useful method for selecting a representative sample from a heterogeneous population when subgroups are well defined.

The given study chooses the sample by dividing the population by voting district and sampling everyone in five districts selected. Therefore, it is an example of stratified sampling where the strata are defined by voting districts. The method is preferred when the population is heterogeneous and it is important to ensure that the sample represents all subgroups of the population.

By dividing the population into strata, the variability within each stratum is reduced, making the sample more representative of the entire population.

In the given study, stratified sampling was used because the researchers wanted to ensure that the sample represents the entire population by selecting individuals from different voting districts. By dividing the population into strata based on voting districts, the researchers were able to reduce the variability within each stratum, making the sample more representative of the entire population.

In addition, the method also ensures that each stratum is represented in the sample, providing a more accurate estimate of the population parameters. Overall, stratified sampling is a useful method for selecting a representative sample from a heterogeneous population when subgroups are well defined.

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Answer:

Step-by-step explanation:

Here is the solution en degree.

x°=29.81689453°

You just have to modify the value in F1 .

Answer:

cool

Step-by-step explanation:

Answer:

ok now h h h h h j j j m m n j oh g g g h j

Answer:

-4.5

Step-by-step explanation:

While some College Board math sections permit all students to use a calculator, other math portion do not. Students can prayer the use of a four-function calculator for use on Non calculator sections.

Four-function calculators are basic calculators that have functions limited to subtraction, addition, multiplication, square roots, division, and percentage.

Four-function calculators can only be used on test portion that need math calculations.

They must be put away during non-mathematical part.

Board policy on use of a calculator may vary by exam. Check by reading calculator rules for the PSAT/NMSQT and PSAT 10 and the SAT or visiting AP Students to read calculator policies for specific AP exams.

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Answer:

a,e

Step-by-step explanation:

Answer:

A, E

Step-by-step explanation:

lets first solve the equation using distributive property:

-3(x-2)=4x-2(x-1)

-3x+6=4x-2x+2

-3x+6=2x+2    (E)

Now move the like terms on one side:

-3x-2x=2-6

-5x=-4             (A)

Answer:

y=2/3x-7

Step-by-step explanation:

For lines to be parallel, they must have the same slope which is 2/3. However, they can't have the same y-intercept.

Answer:

y=0.25x^2−2x

Step-by-step explanation:

You have to use the disruptive property.

A study group of five people wants to track the root growth of sweet potatoes. To achieve this, the group should create a table to keep track of the data and then use the data to create the appropriate charts. To answer this question, we must first understand what root growth is and why it is important.

Root growth refers to the lengthening and thickening of roots over time. Root growth is essential for the survival of plants, as it allows them to absorb water and nutrients from the soil. Sweet potatoes are particularly interesting because they are root vegetables, meaning that the part of the plant that we eat is the root itself.
To track root growth, the study group should create a table that records the length and thickness of the sweet potato roots over time. The group should measure the roots at regular intervals, such as once a week, and record the measurements in the table. The table should also include the date and any other relevant information, such as weather conditions or soil quality.
Once the study group has collected enough data, they can use it to create appropriate charts. Line charts are ideal for showing how root length and thickness change over time, while bar charts are ideal for comparing the root growth of different sweet potato varieties or under different growing conditions.
In conclusion, tracking root growth is an essential part of understanding how sweet potatoes grow and develop. To do this, the study group should create a table to keep track of the data and then use the data to create appropriate charts. The table should include the date, root length, root thickness, and any other relevant information, while the charts can be used to visualize the data and draw conclusions.

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The smallest possible inside length of the cubical steel tank that can hold 600 L of water is approximately X meters. This calculation is based on the assumption that 1 liter of water occupies 1 cubic decimeter.

To determine the smallest possible inside length of the tank, we need to calculate the volume of the tank and then find the side length of the cube. Given that the tank needs to hold 600 L of water, we can convert this volume to cubic meters by dividing by 1000 (since 1 cubic meter is equal to 1000 liters). So, the volume of the tank in cubic meters is 600/1000 = 0.6 cubic meters.

Since the tank is cubic in shape, the volume can be calculated by raising the length of any side to the power of 3. Let's denote the side length of the cube as 's'. Therefore, we have the equation s^3 = 0.6.

Taking the cube root of both sides, we find s = ∛0.6. Evaluating this expression, we get s ≈ 0.824 m (rounded to three decimal places).

Therefore, the smallest possible inside length of the cubical steel tank that can hold 600 L of water is approximately 0.824 meters.

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After 8 seconds the ball height was 42 units.

It is given that on a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.

It is required to find how high was the ball after 8 seconds.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The orbit of the ball will be a parabola.

We know the standard form of a quadratic function:

\(\rm y=ax^2+bx+c\)      where \(\rm \\a\neq 0\)

At x = 0 and y = 10, we get:

\(\rm 10 =a(0)^2+b(0)+c\\\rm 10= c\\\rm c=10\)

At x = 2 and y=24, we get:

\(\rm 24= a(2)^2+b(2)+c\\\rm 24=4a+2b+10\\\rm 4a+2b=14\)....(1)

At x = 16 and y = 10, we get:

\(\rm 10= a(16)^2+b(16)+c\\\rm 10=256a+16b+10\\\rm 256a+16b=0 \\\)....(2)

By solving equations (1) and (2), we get;

a = - 1/2, b = 8 and c = 10

Putting these values in the standard form of a quadratic function, we get:

\(\rm y = - \frac{1}{2} x^2+8x+10\\\)

Now, after 8 seconds means when x = 8, we get:

\(\rm y=-\frac{1}{2}\times 8^2 +8\times8+10\\\rm y = -32+64+10\\\rm y= 42\)

Thus, after 8 seconds the ball height was 42 units.

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Answer:

b

Step-by-step explanation:

Hi there

I think I maybe able to help.

Here is my answer:

996

Hope this helps

Answer:

x=1, y=3

Step-by-step explanation:

Rearrange equations 1 and 2 so that y is the subject

3x^2 = xy

Equation 1) y = 3x

Equation 2) 2y = 5x + 1

multiply the first equation by 2

2y = 6x

2y = 5x + 1

subtract the 2 equations from each other

2y - 2y = 6x - (5y +1)

0 = x - 1

x = 1

substitute x = 1 in the second equation

2y - 5(1) = 1

2y = 1 + 5

2y = 6

y = 3

Answer:

0

Step-by-step explanation:

7 is not in the sample space, meaning it is impossible. Therefore, the probability is 0.

Answer:

The ratio of red, green, and blue counters before adding 15 red and some blue counters is 3:4:5. After adding, the ratio became 7:6:8. By solving equations, the total number of counters in the bag was found to be approximately 32.

Let's first find the number of green counters in the bag before any counters were added.

Let the common ratio be 3x, 4x and 5x for red, green, and blue counters respectively. Since we know that the ratio of red, green and blue counters is 3:4:5, we can write

3x + 4x + 5x = total number of counters in the bag

Simplifying the expression, we get

12x = total number of counters in the bag

We are not given the value of x or the total number of counters in the bag, but we can use this expression to find the number of green counters in terms of x.

Since the ratio of red, green, and blue counters after adding 15 red and some blue counters is 7:6:8, we can write

3x + 15 : 4x : 5x + b = 7 : 6 : 8

where b is the number of blue counters added.

Simplifying the expression and cross-multiplying, we get

42x = (3x + 15) * 6

252x = 3x + 15 * 6

249x = 90

x ≈ 0.361

So the common ratio for the red, green, and blue counters is approximately 1.083, 1.444, and 1.805 respectively.

To find the total number of counters in the bag after 15 red and some blue counters were added, we need to add up the number of red, green, and blue counters. We know that there were 15 red counters added, and we can find the number of blue counters using the ratio before and after

Before adding counters,  red : green : blue = 3x : 4x : 5x

After adding counters, red : green : blue = 7 : 6 : 8

Since the ratio of green counters stayed the same, we can set 4x * 6 = (4x + 15) and solve for x to get x ≈ 2.143.

Therefore, the number of blue counters before adding any counters was 5x ≈ 10.715, and after adding some blue counters it became 8/6 times as many, or approximately 14.286.

The total number of counters in the bag after adding 15 red and some blue counters is

3x + 15 + 4x + 14.286 ≈ 8.674x + 29.286

Substituting x ≈ 0.361, we get

Total number of counters ≈ 32.4

Therefore, there were approximately 32 counters in the bag after 15 red and some blue counters were added.

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To decompose partial fractions, you can use the method of long division or the method of undetermined coefficients.

The method of long division is a technique that allows you to decompose a rational function (i.e. a fraction of two polynomials) into a sum of simpler fractions, each having a denominator that is a factor of the original denominator.

It's similar to regular long division but it's applied to polynomials.The method of undetermined coefficients involves setting up an equation with the original fraction on one side and a sum of simpler fractions on the other side.

Then the unknown coefficients in the simpler fractions are solved for by matching powers of the variable and by using the constraints that the numerator and denominator must be equal to zero.Both methods are used to decompose a rational function into simpler fractions that can be integrated more easily.

The decomposition is useful in solving integrals that can't be solved by other methods. It's used in solving physics and engineering problems, such as in mechanics, control systems, and signal processing.

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Answer:

184/4

Step-by-step explanation:

A rational number is a number in the form p/q where the numerator and denominator (p and q) are both integers but the denominator q is not equal to zero (q ≠ 0)

An integer is a whole number (not fractional) that is either positive, negative or zero.

From the question:

-144 is an integer because it is a negative whole number. Also -144 can be represented as -144 / 1, hence it is a rational number

√218/12 is neither a rational number or integer

184/4 is not an integer because it is not a whole number. 184/4 is a rational number

99 is an integer because it is a positive whole number. Also 99 can be represented as 99 / 1, hence it is a rational number

Answer:

the car is traveling 60 miles per hour

Step-by-step explanation:

Since it is going 30 miles in half an hour, we just need to double both values to find the speed for an hour

30*2=60

1/2*2=1

60 miles per hour

hope this helps pls give crown <3

Answer:

theres no question or answers

Step-by-step explanation:

Answer:

Where is the question? I don't see it did you forget to attach it?

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

(6-0)(6-0)

(6)(6)

6*6=36

\(-4(4x-6)=3(-7x-1)\)

\(-16x+24=3\left(-7x-1\right) \)

\(-16x+24=-21x-3 \)

\(-16x+24+21x=-3 \)

\(5x+24=-3 \)

\(5x=-3-24 \)

\(5x=-27 \)

\(x=\frac{-27}{5} \)

\(x=-\frac{27}{5} \)

Explanation:

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Answer:

273984828kdjsssdjdjdjdjddddeejddfj

Answer:

47

Step-by-step explanation:

First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.

The probability that the mean score of the 49 seniors is greater than 20 is 0.0516. To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with any distribution will approach a normal distribution as the sample size increases.

First, we need to find the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean. We can use the formula SEM = σ / √n, where σ is the population standard deviation, and n is the sample size.

In this case, σ = 6.0 and n = 49, so SEM = 6.0 / √49 = 0.857.

Next, we need to standardize the sample mean using the z-score formula: z = (x - μ) / SEM, where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.

In this case, x = 20, μ = 18.6, and SEM = 0.857, so z = (20 - 18.6) / 0.857 = 1.63.

Finally, we need to find the probability that a standard normal distribution is greater than 1.63, which is 0.0516 when rounded to 4 decimal places.

Therefore, the probability that the mean score of the 49 seniors is greater than 20 is 0.0516.

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The absolute value equation representing all numbers x whose distance from 5 is equal to 5 units is written as:

|x - 5| = 5

An absolute value equation where the variable is x can be written as:

|x - a| = b

This means that the distance between x and a is equal to b.

So if we want to write an equation where the distance between x and 5 is equal to 5, then we can replace:

a = 5

b = 5

And the absolute value equation will be:

|x - 5| = 5

This is what we wanted to get.

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Answer:

8.8866 or 8.89 (rounded)

Step-by-step explanation:

There are a number of ways you can solve it. Here I will just explain 1 way. 18% is the same thing as 0.18. You can do 0.18 x 49.37 which equals 8.8866 tip or you could round it to dollars and cents which would be 8.89.

l Hope this helped! If it did, please give brainliest! It would help a lot! Thanks! :D

Answer:

49.37 x .18= 8.886

Round to the nearest penny $8.89 tip

Step-by-step explanation:

The Expression that have a product greater than 4 is one hundred  and one hundredths times four , the correct option is (d).

In the question ,

four expressions are given as

(a) four times ninety-nine hundredths

= 4 × 99/100

= 4 × 0.99

= 3.96

(b) four times eight-eighths

= 4 × 8/8

= 4 × 1

= 4

(c) three-fourths times four

= 3/4 × 4

= 3

(d) one hundred  and one hundredths times four

= 1.01 × 4

= 4.04

Therefore , The Expression that have a product greater than 4 is one hundred and one hundredths times four .

The given question is incomplete , the complete question is

Which of the following expressions will have a product greater than 4?

(a) four times ninety-nine hundredths

(b) four times eight-eighths

(c) three-fourths times four

(d) one hundred and one hundredths times four

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Answer:

MARK AS BRAINLIEST

Step-by-step explanation:

hope

it helps