What is the x-intercept of the line with this equation?

−5x + \(\frac{1}{5}\)y = 15

Answer:

81

Step-by-step explanation:

Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

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The number of emergency kits that Neil packed in total for the 150 bottles is gotten as; k = 50 kits.

We are told that Neil puts 3 water bottles into each emergency kit packed.

Now, let the number of emergency kits be k.

Thus;

3k = 150

Division property of equality, we have;

3k/3 = 150/3

k = 50

Thus, the number of emergency kits that Neil packed is gotten as k = 50 kits.

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A-The first line has a direction vector of ⟨-2, 1, 3⟩, b-the second line has parametric equations x(t) = -4 - 2t, y(t) = 2 + t, z(t) = 17 + 5t, c-the two lines intersect at the point (1, 3, 10), d-the angle formed is 15.2 degrees, and e- the equation containing both lines is -2x + 7y - 5z = -59.

What is direction vector ?

A direction vector, also known as a directional vector or simply a direction, represents the direction of a line, vector, or a linear path in three-dimensional space. It is a vector that points in the same direction as the line or path it represents.

a) The direction vector for the first line is given by ⟨-2, 1, 3⟩.

b) The parametric equations for the second line, written in terms of the parameter t, are x(t) = -4 - 2t, y(t) = 2 + t, z(t) = 17 + 5t.

c) To find the intersection point, we set the x, y, and z coordinates of both lines equal to each other and solve for s and t:

4 - 2s = -4 - 2t

-2 + s = 2 + t

1 + 3s = 17 + 5t

Solving this system of equations yields s = 3 and t = 1. Therefore, the two lines intersect at the point (1, 3, 10).

d) The angle formed at the intersection point is given by the angle between their respective direction vectors. Using the dot product, the angle θ can be found as cos(θ) = (⟨-2, 1, 3⟩ · ⟨-2, 1, 5⟩) / (|⟨-2, 1, 3⟩| |⟨-2, 1, 5⟩|), which simplifies to cos(θ) = 0.96. Taking the inverse cosine, we find θ ≈ 15.2 degrees.

e) To find the equation of the plane containing both lines, we can use the point-normal form of a plane equation. We choose one of the intersection points (1, 3, 10) and use the cross product of the direction vectors of the two lines as the normal vector. The equation of the plane is given by -2x + 7y - 5z = -59.

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The function that represents the total charge for renting a truck for a certain number of hours is c(h) = $90 + $20(h) and the value of the function for an input of 5, is $190 and this represents the total charge for a rental of 5 hours.

Given,

A truck rental company charges $90 plus $20 per hour.

Here we need to  identify a function that represents the total charge for renting a truck for a certain number of hours. And we also need to find the value of the function for an input of 5.

The problem statement tells you the total charge is the sum of $90 and a charge of $20 per hour. That is, for h hours, the total charge is ...

c = 90 + 20h

In functional form, this is

c(h) = 90 +20(h) . . . . . . total charger for a rental of h hours

The function value with an input of 5 is ...

c(5) = 90 +20(5)

c(5) = 90 + 100

c(5) = 290

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 5 hours.

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Answer:

f(h)=90+20h

$190

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

The scale of the 2 shapes is 1:1.8. so if the smaller shape's side is 3, insert 3 into the ratio. Now, multiply 3*1.8, and you get your answer of 5.4

Answer:

f(5) = 22; f(9) = 34

Step-by-step explanation:

f(5) = 3(5) +7

f(5) = 22

f(9) = 3(9) +7

f(9) = 34

Answer:

You can write 23.3 with a dot on the three after the decimal point

Answer:

y=x+1 with slope of 1 and y-intercept of 1.

Step-by-step explanation:

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer:

The answer is y=3/4+5 (C)

Step-by-step explanation:

You have to find two exact points on the line then calculate the rise/run (3/4). 3/4 is the slope. Now all that's left is to find the y- intercept (where the line crosses the y-axis) which is 5. Which leaves you with answer choice C.

The equation of the line of best fit that Waylan drew is y=3/4 x+5. Therefore, the correct answer is option C.

From the given graph, the coordinate points are (4, 8) and (16, 17).

Here, slope (m) = (y₂-y₁)/(x₂-x₁)

= (17-8)/(16-4)

= 9/12

= 3/4

Substitute m=3/4 and (x, y)=(4, 8) in y=mx+c, we get

8=3/4 ×4+c

8=3+c

c=5

Substitute m=3/4 and c=5 in y=mx+c, we get

y=3/4 x+5

Therefore, the correct answer is option C.

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The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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(a) To calculate the permeate composition, yp, we can use the formula:

yp = (P * x * (Ph - p₁) * t * 0) / (q * (Ph - p₁) + P * x * t * 0)

Given:

x = 0.5 (mole fraction of gas A)

Ph = 80 cm Hg (feed-side pressure)

p₁ = 20 cm Hg (permeate-side pressure)

P = 400 x 10^(-10) cm³(STP) cm/(s cm² cm Hg) (permeability)

t = 2 x 10³ cm (membrane thickness)

0 = 0.25 (fraction of feed permeated)

q = feed flow rate (to be determined)

Substituting the given values into the formula:

yp = (400 x 10^(-10) * 0.5 * (80 - 20) * 2 x 10³ * 0) / (q * (80 - 20) + 400 x 10^(-10) * 0.5 * 2 x 10³ * 0)

Since 0 * anything equals zero, we can simplify the formula to:

yp = 0

Therefore, the permeate composition, yp, is zero.

(b) To calculate the reject composition, xo, we can use the formula:

xo = 1 - yp

Since we found in part (a) that yp = 0, we can conclude that:

xo = 1 - 0

xo = 1

Therefore, the reject composition, xo, is 1.

(c) To calculate the feed flow rate, q, we can rearrange the formula from part (a) and solve for q:

q = (P * x * (Ph - p₁) * t * 0) / (yp * (Ph - p₁) + P * x * t * 0)

Substituting the given values into the formula:

q = (400 x 10^(-10) * 0.5 * (80 - 20) * 2 x 10³ * 0) / (0 * (80 - 20) + 400 x 10^(-10) * 0.5 * 2 x 10³ * 0)

Again, since 0 * anything equals zero, we can simplify the formula to:

q = 0

Therefore, the feed flow rate, q, is zero.

In conclusion:

(a) The permeate composition, yp, is zero.

(b) The reject composition, xo, is 1.

(c) The feed flow rate, q, is zero.

Please note that the calculations resulted in a feed flow rate of zero, which may suggest an inconsistency in the given values or equations. Double-checking the values and equations is recommended to ensure accuracy.

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Answer:

1.35 x 102 i think

Step-by-step explanation:

Step-by-step explanation:

3r + (9 + 2r + 1)

this can be simplified :

3r + (9 + 2r + 1) = 3r + 2r + 9 + 1 = 5r + 10

The characteristic of any function created by the product of two linear factors has two x-intercepts.

According to the question;

We are required to determine which is a characteristic of any function created by the product of two linear factors.

The product of two linear factors results in a quadratic function.

Since a quadratic function is a polynomial of degree two, 2.

In essence, the resulting function created by the product of two linear factors has two x-intercepts.

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Answer:

Sorry if it is not clear enough

Answer:

\(Average\ Rate = \frac{104}{3}\)

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over: 4≤x≤7.

Average rate of change is calculated as:

\(Average\ Rate = \frac{f(b) - f(a)}{b - a}\)

Where:

\(a=4\)

\(b = 7\)

So:

\(Average\ Rate = \frac{f(b) - f(a)}{b - a}\)

\(Average\ Rate = \frac{f(7) - f(4)}{7 - 4}\)

\(Average\ Rate = \frac{f(7) - f(4)}{3}\)

From that table:

f(4) =

f(7) =

So:

\(Average\ Rate = \frac{f(7) - f(4)}{3}\)

\(Average\ Rate = \frac{108-4}{3}\)

\(Average\ Rate = \frac{104}{3}\)

Yes, the three numbers 7, 5, and 4 can be the measures of the sides of a triangle.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three numbers 7, 5, and 4 can be the measures of the sides of a triangle.

This is because the sum of the two shorter sides of a triangle must be greater than the longest side.

In this case,

The longest side is 7, and the sum of the two shorter sides is 5 + 4 = 9, which is greater than 7.

Therefore,

The three numbers satisfy the triangle inequality and can be the measures of the sides of a triangle.

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\(\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3\)

\(\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0\)

\(cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1\)

Answer:

2x+8

2 is common

2(x+4)=0

Step-by-step explanation:

0.148 is the probability that they are both democrats.

In one town, 39% of all voters are democrats.

If two voters are randomly selected for a survey, the probability that they are both democrats can be calculated as follows.

P(A) = 0.39 is the probability of selecting a democrat in the first draw.

P(B|A) = 0.38

is the probability of selecting a democrat in the second draw if the first draw selects a democrat.

P(B|A') = 0.39 is the probability of selecting a democrat in the second draw if the first draw does not select a democrat.

The probability that both voters are democrats is:

P(A) x P(B|A) = 0.39 x 0.38 = 0.1482

The result is 0.1482, which means the probability that two voters are both democrats in one town is 0.1482 to the nearest thousandth.

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Answer:

yes n is -6

Step-by-step explanation:

b/c 5(-6)-42=12(-6)

-30-42=-72

-72=-72

Answer

660in²

Step-by-step explanation:

B1=30

B2=36

h=20

1/2*20(30+36)

1/2*20(66)

10(66)

660in²

Answer:

Mean= 23

Median= 29

Step-by-step explanation:

the correct answer is "Days would be exactly 12 hours."

If the time is 12:00 A.M. in Greenwich, England, then it is 6:00 P.M. in Houston (CST). Therefore, the correct answer is 6:00 P.M.

Now, let's consider the second question.

If Earth rotated at double its current rotational speed, which of the following would be true?

A day is measured by the time taken by the Earth to complete one rotation around its own axis. The current rotational speed of the Earth is 1 revolution per 24 hours.

Therefore, if the Earth rotates at double its current rotational speed, then one revolution would be completed in 12 hours only. Hence, the days would be exactly 12 hours long.

Therefore, the correct answer is "Days would be exactly 12 hours."

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Answer:

x = - 2 is not a zero

Step-by-step explanation:

If x = - 2 is a zero of the polynomial then f(- 2) = 0

f(x) = 3x² +4x + 32

f(- 2) = 3(- 2)² + 4(- 2) + 32 = 3(4) - 8 + 32 = 12 - 8 + 32 = 36

Since f(- 2) ≠ 0 , then x = - 2 is not a zero of the polynomial

Answer:

the third option cannot be a function

Step-by-step explanation:

whenever a set or ordered pairs contains an x-value that appears more than once then it cannot form a function

Answer:

The third one

Step-by-step explanation:

Answer:

My answer to your question is a "No".

We can know that a and b are the same numbers. If we multiply the same number on each side, the answer will be the same. However, x and y have different values. So, it will show differently.

Let's have an example:

It we say a = 5, x = 6, y = 7.

We know a and b are the same number so, both a and b will be 5. If we multiply a by x, it will be 5 x 6 which is 30. It will show the same answer on multiplying b because as you said a and b are the same. The equation will be 5(a) x 6(x) = 5(b) x 6(x) Let's look at multiplying y. If we multiply a by y, it will be 5 x 7 which is 35. As you said it will show the same answer on multiplying b because a and b are the same. The equation for this will be 5(a) x 7(y) = 5(b) = 7(y). Finally, let's compare the two equations.

5(a) x 6(x) = 5(b) x 6(x) -> 30 = 30

5(a) x 7(y) = 5(b) = 7(y) -> 35 = 35

You can see it more clearly when we compare those to the equations that I made.

Thank you

Yes, if a = b, then ax = bx and ay = by for any value of x.

This is because the equation a = b implies that a and b are equal in value, so any expression involving a can be replaced with an equivalent expression involving b. In other words, any operation performed on a can be performed on b and produce the same result.

For example, if a = b, then multiplying both sides of the equation by x yields ax = bx, and multiplying both sides of the equation by y yields ay = by. This means that any power, root, logarithm, or other mathematical operation performed on a can also be performed on b and produce the same result.

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