Need help understanding how to figure this out. I am confused

The slope is positive and equal to 3, there is a positive relationship between X and Y. The remaining statements regarding a horizontal relation, a negative slope, or a vertical relation between X and Y are incorrect.

Based on the given information, we can conclude the following:

1. The slope is positive, and it is equal to 3: The coefficient of X in the equation Y = 390 * 3X is 3, indicating a positive relationship between X and Y. For every unit increase in X, Y increases by 3 units.

2. When X = 0, Y = 390: When X is zero, the equation becomes Y = 390 * 3 * 0 = 0. Therefore, when X is zero, Y is also zero.

3. The relation between X and Y is horizontal: The statement "the relation between X and Y is horizontal" is incorrect. The given equation Y = 390 * 3X implies a linear relationship between X and Y with a positive slope, meaning that as X increases, Y also increases.

4. When Y = 0, X = 130: To find the value of X when Y is zero, we can rearrange the equation Y = 390 * 3X as 3X = 0. Dividing both sides by 3, we get X = 0. Therefore, when Y is zero, X is also zero, not 130 as stated.

5. The slope is -3: The statement "the slope is -3" is incorrect. In the given equation Y = 390 * 3X, the slope is positive and equal to 3, as mentioned earlier.

6. The relation between X and Y is vertical: The statement "the relation between X and Y is vertical" is incorrect. A vertical relationship between X and Y would imply that there is no change in Y with respect to changes in X, which contradicts the given equation that shows a positive slope of 3.

7. As X goes up, Y goes down (downward sloping or negative relationship between X and Y): This statement is incorrect. The equation Y = 390 * 3X indicates a positive relationship between X and Y, meaning that as X increases, Y also increases.

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Answer:2

Step-by-step explanation:

Answer:

\(-(-4.1b - 6c - 8) = 4.1b + 6c + 8\)

Step-by-step explanation:

Given

\(-(-4.1b - 6c - 8)\)

Required

Simplify

To solve this using distributive property, we simply open the bracket

\(-(-4.1b - 6c - 8)\)

This becomes

\(= -1 * -4.1b -1 * - 6c -1 * - 8\)

\(= 4.1b + 6c + 8\)

Hence;

\(-(-4.1b - 6c - 8) = 4.1b + 6c + 8\)

Answer:

Choose 0 to substitute in for x to find the ordered pair. Remove parentheses. Simplify 3(0)−10 3 ( 0 ) - 10 .

Step-by-step explanation:

Answer:

how many floors the elevator goes down per unit of time

Step-by-step explanation:

not sure what the unit of time is but its seconds or minutes im pretty sure it doesnt say

Answer:

The elevator started at floor 7

Step-by-step explanation:

The y-intercept is when x is 0

In this situation x represents time, so when no time has passes yet y is at 7

This means that the elevator was at floor before any time passed (before it started moving)

hope this helps, lmk if it doesnt :)

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of phones produced abroad and y represent the number of phones produced locally.

The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:

30x + 20y = 6000            (1)

Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:

20x + 60y = 12000           (2)

Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:

70x = 6000

x = 600/7 ≈ 86

Put x = 86 in equation 1:

30(86) + 20 y = 6000

20y = 3420

y = 171

86 phones should be produced abroad and 171 phones locally

18 shirts can be stitched using 40m of cloth, and 130cm of cloth will remain.

To stitch one shirt, 2m 15cm (or 215cm) of cloth is needed.

Therefore, the number of shirts that can be stitched using 40m (or 4000cm) of cloth can be found by dividing the total cloth by the cloth required to stitch one shirt:

Number of shirts = 4000cm / 215cm per shirt

Number of shirts = 18.60 (rounded to two decimal places)

Since we can't stitch a part of a shirt, we can only stitch 18 shirts using 40m of cloth.

To find the amount of cloth that will remain after stitching 18 shirts, we can multiply the cloth required to stitch one shirt by the number of shirts stitched, and then subtract this amount from the total cloth available:

Cloth used for 18 shirts = 18 shirts x 215cm per shirt

Cloth used for 18 shirts = 3870cm

Cloth remaining = 4000cm - 3870cm

Cloth remaining = 130cm

Therefore, 18 shirts can be stitched using 40m of cloth, and 130cm of cloth will remain.

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The productivity of the painter is 0.66 up to two decimal places. It is attained by applying the knowledge of the division of two numbers and decimals to the provided problem.

What is decimal?

A decimal is a quantity that is distributed into two components, namely a whole and a fraction. A decimal number represents the numerical value lying in between the two integers. A decimal point (.) is used to segregate the fractional part from the whole part of a number.

E.g. 1.5, 0.06, 7.05, etc.

Calculation of the productivity of the painter

Productivity of the painter is obtained by dividing the number of houses painted by the number of days taken to paint them

The number of houses painted is 4

The number of days taken to paint 4 houses is 6 days

Productivity = 4 ÷ 6

                  = 0.666

Thus, the productivity of the painter is 0.66 up to two decimal places.

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Answer:

Your is answer would be choice C which is : 32 cm

Step-by-step explanation:

The loading station is located 5 miles distance east and 10 miles south of the depot.

1. Calculate the distance between train A and train B.

Distance = √((17-4)^2 + (16+26)^2) = 33 miles

2. Calculate the two-thirds point between train A and train B.

Distance = 33 x 2/3 = 22 miles

3. Calculate the x and y coordinates of the two-thirds point from train A.

x = 17 - (22 - 16) = 9 miles

y = 16 - (22 - 17) = 10 miles

4. Calculate the x and y coordinates of the loading station relative to the depot.

x = 9 - 17 = - 8 miles

y = 10 - 16 = - 6 miles

Therefore, the loading station is located 5 miles east and 10 miles south of the depot.

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Therefore, the baseball team wins 9/20 of its games in fraction form.

To convert a percentage to decimal form, we divide the percentage by 100.

Decimal form of 60%: 60% = 60/100 = 0.6

Simplified fractional form of 60%: 60% can be written as a fraction by taking the decimal form (0.6) and simplifying it. Since 0.6 is already simplified, the fractional form of 60% is 6/10 or 3/5.

Now, let's calculate the fraction of games won by a baseball team that wins 45% of its games.

Fraction of games won: 45%

= 45/100

= 9/20

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\(\\ \rm{:}\dashrightarrow p+120=180\)

\(\\ \rm{:}\dashrightarrow p=60\)

And

Now

\(\\ \rm{:}\dashrightarrow r+65=180\)

\(\\ \rm{:}\dashrightarrow r=115\)

So

\(\\ \rm{:}\dashrightarrow x=q(Opposite interior angles)=65\)

Answer:

p = 60°

r = 115°

q = 65°

y = 60°

x = 65°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore, the linear pairs are:

   p + 120° = 180°

⇒ p = 60°

   r + 65° = 180°

⇒ r = 115°

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

Vertical angle theorem: a pair of opposite angles formed by intersecting lines.  Vertical angles are always congruent (equal).

Therefore, the vertical angles are q and 65°:

⇒ q = 65°

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

Consecutive interior angle theorem:  if a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary and so their measures sum to 180°.

Therefore, the consecutive interiors angles are:

   120° + y = 180°

⇒ y = 60°

   x + r = 180°

⇒ x + 115° = 180°

⇒ x = 65°

Given:

Total number of hours = 70 hours

Amount he charges (base fee) = $75

Amount he charges per hour =

The vertex is the point on the curves with minimum distance from focus and the center is the midpoint between the vertices.

A set of points on a plane such that they have a positive and constant absolute difference from its 2 fixed points is called a hyperbola.

The two separate curves of a hyperbola are called its branches. The point on each branch with a minimum distance from the focus is called the vertices of the hyperbola.

It is the midpoint between the vertice that is called the center.

Here, we can see that the center is marked by (h,k) while the left vertex is (h - a , k)and (h + a , k)

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Answer:

The answer is b. -0.5

Step-by-step explanation:

Answer:

the answer is b. -0.5 i believe

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

We have that Priya (P) and Jibran (J) take 1 h + 10 min working together:

\( P + J = 60min + 10min = 70 min \)    (1)

Also, Priya can finish the delivery 5 minutes faster than Jibran:

\( P = J - 5 \)    (2)  

By entering equation (2) into (1) we have:

\( (J - 5) + J = 70 min \)

\( 2J = 75 min \)

\( J = 37.5 min = 37 min + 30 s \)

Hence, Jibran takes 37 minutes and 30 seconds to complete the route.

Now, by entering J into equation (2):

\( P = 37 min + 30 s - 5 min = 32 min + 30s \)

Therefore, Priya takes 32 minutes and 30 seconds to complete the route.

I hope it helps you!      

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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x = -8, x = 7. It can also be put into coordinate form based off what the website is looking for.

But solutions to a quadratic equation is essentially where the line crosses the 'x' line.

Step-by-step explanation: To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators, we have 6/25.

The result of the division of 3/5 divided by 2 1/2 is: 6/25.

Here, we have,

given that,

3/5 divided by 2 1/2

To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators,

we have 6/25.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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It will take 3 hours to bake 3 pans of baked macaroni if the oven can only bake one pan of baked macaroni for 1 hour.

If Jeanna's oven can only bake one pan of baked macaroni for 1 hour, then it will take 3 hours to bake 3 pans of baked macaroni. This is because the time it takes to bake the pans is directly proportional to the number of pans being baked. Therefore, if it takes 1 hour to bake 1 pan, it will take 3 hours to bake 3 pans. So, the answer is 3 hours.

It is important to note that the number of pans Jeanna wishes to bake, which is 34 pans, is irrelevant to the question. The question only asks for the time it will take to bake 3 pans of baked macaroni, so the number of pans Jeanna wishes to bake does not affect the answer.

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Answer:

The measure of angle 7 is 155*.

Step-by-step explanation:

The distance between the two given points is 8.357 cm (to three significant figures).

the two points in a rectangular coordinate system have the coordinates

`(4.9, 2.5)` and `(-2.9, 5.5)`

and we need to determine the distance between these points. Therefore, we need to use the distance formula.Distance formula:The distance between two points

`(x1, y1)` and `(x2, y2)` is given byd = √[(x₂ - x₁)² + (y₂ - y₁)²]

where d is the distance between the two points

.`(x1, y1)` = (4.9, 2.5)`(x2, y2)` = (-2.9, 5.5)

Substitute the above values in the distance formula to get

d = √[(-2.9 - 4.9)² + (5.5 - 2.5)²]d = √[(-7.8)² + (3)²]d = √[60.84 + 9]d = √69.84d = 8.357... cm (to three significant figures)

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Thus,  the general solution of the given differential equation dy/dt = 3t^2/8y is y = ±√(4t^3+C).

To find the general solution of the given differential equation dy/dt = 3t^2/8y, we can use separation of variables.

First, rewrite the equation as: (dy/y) = (3t^2/8)dt.
Now, integrate both sides of the equation:
∫(1/y) dy = ∫(3t^2/8) dt.

After integration, we get:
ln|y| = (t^3/8) + C1,
where C1 is the constant of integration.

Now, exponentiate both sides to remove the natural logarithm:
y = e^((t^3/8) + C1).

We can rewrite the constant as follows:
y = e^(t^3/8) * e^C1.

Let C = e^C1, which is also a constant. So,
y = Ce^(t^3/8).

Comparing with the given options, none of them exactly matches our solution. However, option c is the closest to the correct form.

To match the given options, we can rewrite our solution as:
y = ±√(C*4t^3).

This is similar to option c, which is:
y = ±√(4t^3+C).

Note that the given options may not perfectly represent the actual general solution. In this case, the closest answer is option c.

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We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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Answer:

SM= 196.6

Step-by-step explanation:

i had the same question and got this answer and it was correct

One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.

To find the rate of change, we need to find the derivative of the variables with respect to time.

Let:

p = distance between 2 cars

q = distance between car 1 and the start point

r = distance between car 2 and the start point

Using the Pythagorean Theorem:

p² = q² + r²

Take the derivative with respect to time:

2p dp/dt = 2q dq/dt + 2r dr/dt

dq/dt = speed of car 1 = 64 mi/h

dr/dt = speed of car 2 = 48 mi/h

The distance of car 1 and car 2 from the start point after 4 hours:

q = 64 x 4 = 256 miles

r = 48 x 4 = 192 miles

Using the Pythagorean theorem:

p² =256² + 192²

p = 320 miles

Hence,

2p dp/dt = 2q dq/dt + 2r dr/dt

p dp/dt = q dq/dt + r dr/dt

320  x dp/dt = 256 x 64 + 192  x 48

dp/dt = 80

Hence, the distance between the cars increases with rate at 80 mi/h

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Answer:

Is not the answer but is how to do it. Sorry

Step-by-step explanation:

you got the value of a=2

use the formula

S=n/2 [2a+(n-1)d] then calculate d from here..

put it in t=a+(n-1)d

The requreid 8th term in the series is 366, which is an option (C).

Arithmetic progression is the series of numbers that have common differences between adjacent values

We can use the formula for the sum of an arithmetic series, which is:

S = n/2 * (a + l)

Since we are given that the first term is 2, we can write the formula for the sum of the first 8 terms as:

1472 = 8/2 * (2 + l)

1472 = 4 * (2 + l)

368 = 2 + l

l = 366

Therefore, the 8th term in the series is 366, which is an option (C).

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Answer:

Top 15 percent

Step-by-step explanation:

48 * 100 = 4800/326 = 14.723 (your exact percentage) or about 15

Answer:

You are about in the Top 15%.

Step-by-step explanation:

48/326 = 0.1472...

48/326 = 14.72...%

That is about 15%