A line with a slope of 4 and passes through (2, 4) What is the equation of the line in slope intercept form (y = mx + b) ?

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

Answer:

B

Step-by-step explanation:

1.454, 1.454444, 1.454454454, 1.4545454, 1.454545 in order but as you can see, the last two are equal

Answer:

1, 3, 4 5/1.2 8 maybe?

Step-by-step explanation:

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).

To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.

Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).

Using the midpoint formula, we can set up the following equations:

(x1 + x2) / 2 = -4

(y1 + y2) / 2 = 2

Substituting the coordinates of point A (-7, 3), we have:

(-7 + x2) / 2 = -4

(3 + y2) / 2 = 2

Simplifying the equations:

-7 + x2 = -8

3 + y2 = 4

Solving for x2 and y2:

x2 = -8 + 7 = -1

y2 = 4 - 3 = 1

Therefore, the coordinates of point B are (-1, 1).

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Answer:

Linear

Step-by-step explanation:

because it is in the form y=mx+c if rearranged

Answer:

7/8

Step-by-step explanation:

If the question is simply about the fraction that didn't vote for the super salad, you don't need to worry about the other options. You just realize that when 1/8 voted for it, it means that the rest (or 7/8) didn't vote for it.

Fraction is a representation of a decimal number the fraction which does not vote for super salad is 7/8.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole.

As per the given fractions,

1/8=super salad

1/8=Chicken nugget

1/4=turkey burgers

1/2=Cheese pizza

Total fraction ,1/8 + 1/8 + 1/4 + 1/2

1/8 + 1/8 + 1/4 + 1/2 = (1 + 1 +2 + 4)/8

8/8 = 1

The fraction that votes for super salad = 1/8

The fraction that did not vote for super salad = 1 - The fraction that vote for super salad.

The fraction that did not vote for super salad = 1 - 1/8

⇒ (8 - 1)/8 = 7/8

Hence "Fraction is a representation of a decimal number the fraction which does not vote for super salad is 7/8".

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The correct answer is option B which is the volume of the prism is 216 km³.

A prism is a three-dimensional solid with a triangular base called a triangular prism. The volume of the triangular prism is equal to the product of the area of the base and the height of the prism.

The volume of the prism will be calculated by using the formula below:-

V  =  Area of the base   x   Height

Since the base is a right-angle triangle so we will calculate the area of the right-angle triangle.

V  =  Area of the triangle  x  Height

V  =  ( 1/2 ) x 8 x 6 x ( 9 )

V  =  216 km²

Therefore the correct answer is option B which is the volume of the prism is 216 km³.

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9514 1404 393

Answer:

  23°

Step-by-step explanation:

The angle a vector makes relative to the +x axis is found as ...

  α = arctan(y/x) = arctan(4.30/10.3) ≈ 22.66°

The angle is about 23°.

__

Additional comment

This vector resides in the first quadrant, so no adjustment of the angle is needed. In other quadrants, 180° may need to be added or subtracted from the angle given by the arctan function to arrive at the correct value. (Some calculators and spreadsheets have an ATAN2(x, y) function that takes signs into account.)

Answer: (-2, 7)

Step-by-step explanation:

X started at 2 and went to the left 2 to get to the mid point of 0.  Go 2 more to the left to get to the other end of -2.

Y started at 1 and went up 3 to get to the midpoint of 4.  Go up another 3 to get to the endpoint of 7.

Answer:

a

   The  percentage is

            \(P(x_1 < X < x_2 ) = 51.1 \%\)

b

   The probability is  \(P(Z > 2.5 ) = 0.0062097\)

Step-by-step explanation:

From the question we are told that

        The  population mean is  \(\mu = 800\)

        The  variance is  \(var(x) = 1600 \ kg\)

        The  range consider is  \(x_1 = 778 \ kg \ x_2 = 834 \ kg\)

         The  value consider in second question is  \(x = 900 \ kg\)

Generally the standard deviation is mathematically represented as

        \(\sigma = \sqrt{var (x)}\)

substituting value

        \(\sigma = \sqrt{1600}\)

       \(\sigma = 40\)

The percentage of a cucumber give the crop amount between 778 and 834 kg  is mathematically represented as

       \(P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )\)

    Generally  \(\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)\)

So

      \(P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )\)

      \(P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)\)

From the z-table  the value for  \(P(z_1 < 0.85) = 0.80234\)

                                            and \(P(z_1 < -0.55) = 0.29116\)  

So

             \(P(x_1 < X < x_2 ) = 0.80234 - 0.29116\)

             \(P(x_1 < X < x_2 ) = 0.51118\)

The  percentage is

            \(P(x_1 < X < x_2 ) = 51.1 \%\)

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

             \(P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )\)

substituting values

             \(P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )\)

             \(P(X > x ) = P(Z >2.5 )\)

From the z-table  the value for  \(P(Z > 2.5 ) = 0.0062097\)

Answer:

x=1

Step-by-step explanation:

5x+2=3x+4(2x-1)

5x+2=3x+8x-4

5x+2=11x-4

5x-11x=-4-2

-6x=-6

6x=6

x=1

Answer:

8

Step-by-step explanation:

2,3,5,11,13,14

Mean= 8

Standard deviation= 4.830

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

Answer: 584 yds

Step-by-step explanation:

3mi-3mi=0

1622-1038=584yds

Answer:

22.5

Step-by-step explanation:

How do you solve this question?

In order to find this answer, you must multiply the number given (30) by the percentage (75%). 75% is equal to .75. So, if you multiply 30 and 75%, you will get 22.5.

Hope this helps,

Philip

Brainliest always appreciated! <3

The additional revenue that Disneyland will get if admission is raised from $31 to $41.

= $60000.

An additional revenue stream is exactly what it sounds like – another option for you and your company to make money. It is supplemental income that you earn in addition to the main revenue stream that defines and mostly sustains your firm.

Revenue denotes income generated by business operations, whereas profit denotes net income after deducting expenses from earnings. Sales, fee income, and property income are all examples of revenue.

6,000 children

first cost = 31

second cost = 41

The cost was raised from 31 to 41 so the Disneyland will make 10 profit per children.

The additional revenue will Disneyland receive if it raises the cost of admission from $31 to $41:

6000 x 10

= $60000

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Answer:

42 dollars -x......................

The three questions are illustrations of arithmetic operations and geometric progressions

(1) Acid concentration

The given parameters are:

pH of acid lemon juice = 2

pH of acid urine = 5.5

The difference between their pH is calculated as follows:

Difference = 5.5 - 2

Difference = 3.5

Multiply the difference by 10, to calculate the acidity

Acidity = 3.5 * 10

Acidity = 35

Hence, the acid like lemon juice is 35 times stronger than urine

(2) Depreciation

The depreciation is given as:

r = 18%

In 1998, the car's worth is $19995.

This is represented as:

a = 19995

2012 is 14 years from 1998.

This is represented as:

n = 14

So, the worth of the car in 2014 is calculated using:

\(\mathbf{Worth =a(1 -r)^n}\)

So, we have:

\(\mathbf{Worth =19995 \times (1 -18\%)^{14}}\)

Express percentage as decimal

\(\mathbf{Worth =19995 \times (1 -0.18)^{14}}\)

\(\mathbf{Worth =19995 \times 0.82^{14}}\)

Evaluate

\(\mathbf{Worth =1243}\)

Hence, the worth of the car in 2012 is $1243

(3) Spread of Gossip

The spread of the gossip is an illustration of geometric progression, where

a = 1 ---- the first term

r = 3 --- the common ratio

L =1200 --- the last term

So, we calculate the number of terms from 1 to 1200 using the following nth terms of geometric progression

\(\mathbf{L = ar^{n-1}}\)

This gives

\(\mathbf{1200 = 1 \times3^{n-1}}\)

\(\mathbf{1200 = 3^{n-1}}\)

Take logarithm of both sides

\(\mathbf{log(1200) = log(3^{n-1})}\)

Apply law of logarithm

\(\mathbf{log(1200) = (n-1)log(3)}\)

Divide both sides by log(3)

\(\mathbf{n - 1 = log(1200) \div log(3)}\)

\(\mathbf{n - 1 =6.45}\)

Add 1 to both sides

\(\mathbf{n =7.45}\)

Since the gossip spreads every two minutes.

The total time is:

\(\mathbf{Total =2minutes \times 7.45}\)

\(\mathbf{Total =14.9\ minutes}\)

Hence, it will take 14.9 minutes for the gossip to spread to 1200 students

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Answer:

B, C, and E are correct

Step-by-step explanation:

Answer:

the answers are B, C, and E

Step-by-step explanation:

got it right on edge 2021 hope this helped! :]

EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

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Answer: 2.63

Step-by-step explanation:

Using the formula \(A=\frac{1}{2} ab \sin C\),

\(6\sqrt{2}=\frac{1}{2}(2x-1)(x+3) \sin 45^{\circ}\\\\6\sqrt{2}=\frac{(2x-1)(x+3)}{2} \cdot \frac{\sqrt{2}}{2}\\\\6=\frac{(2x-1)(x+3)}{4}\\\\24=(2x-1)(x+3)\\\\24=2x^2 +5x-3\\\\2x^2 +5x-27=0\\\\x=\frac{-5 +\sqrt{5^2 -4(2)(27)}}{2(2)} \text{ } (x > 0)\\\\x=\frac{\sqrt{241}-5}{4} \approx 2.63\)

Answer:

f(x)=5x+3

Step-by-step explanation:

The slop is 5 and the y intercept is 3

So if you put that in an equation it makes 5x+3

I used the slope formula to find the slope

Subtract the y values over x values

The parametrization shown below,

            \(x(t),y(t),z(t)=10cost,5,10sint\)

Given equation of sphere,

                 \(x^{2} +y^{2} +z^{2} =125\)

Substitute y = 5 in above relation.

         \(x^{2} +z^{2}=125-25=100\\ \\x^{2} +z^{2}=10^{2}\)

For parametrization,

Substitute \(x=rcos(t),z=rsin(t)\) and \(r=10\)

So that,  \(x(t),y(t),z(t)=10cost,5,10sint\)

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Answer:

9333/10000

Step-by-step explanation:

To write .9333 as a fraction you have to write .9333 as the numerator and put 1 as the denominator. Then you multiply the numerator and the denominator by 10.

f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.

Given: f(x) = 4.1/(42.4x-10(x-2))

To find the x-intercept, we set f(x) to zero and solve for x:

0 = 4.1/(42.4x-10(x-2))

0 = 4.1/(32.4x+20)

0 = 4.1/4.08(x+4.878)

So, the x-intercept is x = -4.878.

To find the y-intercept, we set x to zero and solve for f(x):

f(0) = 4.1/(42.4(0)-10(0-2))

f(0) = -2.05

So, the y-intercept is (0,-2.05).

To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:

f(x) = 4.1/(42.4x-10(x-2))

f(x) = 4.1/(32.4x+20)

f(x) = 4.1/4.08(8x+5)

So, a = 8, b = 5, and q = 4.1/4.08.

To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.

We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.

To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:

4.1

8x + 5 | 4.1

- 4.1

0

So, the slant asymptote is y = 4.1/8x.

Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.

The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.

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Answer:

b and e I think not sure :) :) :)

The correct option is- A: (-1/2 , -√3/2) are the coordinates found using the terminal points t = 10pi/3.

On the unit circle, the terminal point. To find any terminal point on the unit circle which start at (1, 0), and determine the angle in degree or radian on the circle that travel counter clockwise whereas if angle is positive as well as clockwise if the angle is negative. The terminal point is the coordinate of the endpoint.

Given values:

t = 10pi/3

convert to degrees

t = 10*pi/3

t = 10*180/3

t = 600 degrees

Find quadrant of 600 degrees.

600 = 360+240

240 comes in III quadrant

Thus,  x-coordinate and y-coordinate are negative

Now,

240° = 180°+ 60°

60° is the angle for which terminal point are to be find.

Let ∅=60°

Consider unit circle

radius r = 1 units

Then,

x = -r*cos ∅

x = -cos 60

x = -(1/2)

And,

y = -r*sin ∅

y = -sin 60

y = -(√3)/2

Thus, the coordinates of the terminal point are found as  (-1/2 , -√3/2) by

t = 10pi/3.

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