Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.

The slope of the line is .
When the point (7, –4) is used, the point-slope form of the line is .
The slope-intercept form of the line is

Answer:

A: y = –4x + 5

Step-by-step explanation:

I got it right on Edge

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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Answer:

7:01

29%

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Hopes this helps :)

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

Answer:

Binomial = 0.8724

Normal approximation = 0.873

Step-by-step explanation:

Given that :

Sample size (n) = 20

p = 0.6

q = 1 - p = 1 - 0.6 = 0.4

.using normal approximation :

Mean = np

Mean (m) = 20 * 0.6 = 12

Standard deviation (s) = √npq

s = √(20 * 0.6 * 0.4) = 2.1908902

Probability of 10 or more lines in use :

p(x ≥ 10)

Applying for correction:

p(x ≥ 10 - 0.5) = p(x ≥ 9.5)

Using the z formula :

Z = (x - m) / s

Z = (9.5 - 12) / 2.1908902

Z = - 1.141

p(Z > - 1.141) = 0.87307 (Z probability calculator)

p(Z > - 1.141) = 0.873

Using the binomial distribution :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p(x ≥ 10) = p(x = 10) + p(x = 11) +.... + p(x = 20)

Using calculator :

p(x ≥ 10) = 0.87247

= 0.873

The geometric center of the graph under the function is 5/3

The equation of the function is given as:

f(x) = 3 - |x - 2|

The interval is given as:

x ∈ [0, 3]

The geometric center (gc) of the graph under the function is calculated using

gc = ∫x f(x) dx/∫f(x) dx

Substitute the known values in the above equation

gc = ∫x * (3 - |x - 2|) dx/∫3 - |x - 2| dx

Integrate the numerator and the denominator of the above equation

gc = [-1/6(x - 2)((2|x -2| - 9)x + 2|x - 2| - 18)]/[3x - 1/2[|x - 2|(x - 2)]]

Recall that the interval is given as x ∈ [0, 3]

Substitute the interval values in the above equation.

The equation is then simplified using a graphing calculator.

So, we have

gc = (65/6)/(13/2)

Express the quotient expression as a product

gc = (65/6) * (2/13)

Divide 65 by 13

gc = 5/6 * 2

Divide 2 by 6

gc = 5/3

Hence, the geometric center of the graph under the function is 5/3

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Answer:

15 hours

Step-by-step explanation:

150/10=15

Answer: 15 hours

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

15 plus 6 equals 21

21 divided by 3 is 7

Answer:7

Step-by-step explanation:

sum of 15 and 6

15+6=21

1/3 Of The sum

1/3 of 21

1/3 x 21

(1x21)/3

21/3=7

Answer:

The standard form of the equation of a circle with center at (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

We are given that the center of the circle is (4, -1), so h = 4 and k = -1. We also know that the circle passes through the point (-4, 1), which means that the distance from the center of the circle to (-4, 1) is the radius of the circle.

The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

So the radius of the circle is:

r = sqrt((-4 - 4)^2 + (1 - (-1))^2) = sqrt(100) = 10

Now we can substitute the values of h, k, and r into the standard form equation of a circle:

(x - 4)^2 + (y + 1)^2 = 10^2

Expanding the equation gives:

x^2 - 8x + 16 + y^2 + 2y + 1 = 100

Simplifying and putting the equation in standard form, we get:

x^2 + y^2 - 8x + 2y - 83 = 0

Therefore, the equation in standard form of the circle with center at (4, −1) and that passes through the point (−4, 1) is:

x^2 + y^2 - 8x + 2y - 83 = 0

Answer:

B

Step-by-step explanation:

It will cost more

The equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi.

Given that;

V = π × r² × h

V = π × (4)² × h

V = π4²h

Therefore, the equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

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Answer:

30,290,000 people

Step-by-step explanation:

The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000

23,300,000/100 = 233,000 = 1%

233,000 x 30 = 6,990,000

23,300,000 = 6,990,000 = 30,290,000

Answer:

x = 2.5

Step-by-step explanation:

I am assuming that this is the entire equation and that it equates to 0 otherwise the answer will just be \(4x + 10\)

\(x + 3x +10 = 0 \\4x + 10 = 0\\4x = 10\\x = \frac{10}{4} \\x = 2.5\)

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Applying the definition of similar triangles, the measure of ∠DEF = 85°.

If two triangles are similar, then their corresponding angles are all equal in measure to each other.

In the image given, since E and F are the midpoint of both sides of triangle BCD, then it follows that triangles BCD and EFD are similar triangles.

Therefore, ∠DBC ≅ ∠DEF

m∠DBC = m∠DEF

Substitute

4x + 53 = -6x + 133

4x + 6x = -53 + 133

10x = 80

10x/10 = 80/10 [division property of equality]

x = 8

Measure of ∠DEF = -6x + 133 = -6(8) + 133

Measure of ∠DEF = 85°

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Answer:

Step-by-step explanation:

Tungsten is a very hard and strong metal that is commonly used in the production of various types of high-strength materials, such as steel alloys, filaments for incandescent light bulbs, and electrical contacts. Tungsten has the highest tensile strength of any metal, which means it can withstand the highest amount of stress without breaking or deforming. However, tungsten is not very resistant to corrosion, especially in the presence of oxygen. At high temperatures, tungsten can react with oxygen to form tungsten oxide, which can cause corrosion of the metal.

Tantalum, on the other hand, is a highly corrosion-resistant metal that is often used in applications where exposure to oxygen and other corrosive materials is a concern. Tantalum has a natural oxide layer on its surface that helps protect the metal from corrosion. This oxide layer is very stable and adheres strongly to the underlying metal, providing an effective barrier against oxygen and other corrosive substances. Tantalum also has a relatively high tensile strength, making it a good choice for applications where both strength and corrosion resistance are important considerations.

In summary, while tungsten has the highest tensile strength of any metal, it is not as resistant to corrosion as some other metals, such as tantalum. Tantalum is highly resistant to corrosion by oxygen and other corrosive substances, making it a good choice for applications where exposure to these materials is a concern. Tantalum also has a relatively high tensile strength, making it a good choice for applications where strength is important.

Answer:

stainless steel

Step-by-step explanation:

because it is made from uranium

the answer is C.

the exponent of 10 is -2, so the decimal point will move to the left two spaces which makes .0254 mm

If Erin had 150m/ of buttermilk and recipe require 0.25 cups of buttermilk. Erin would  have enough buttermilk for the recipe (2).

1.2. Convert the units of measurement to a common unit.

Erin has:

150 ml of buttermilk

Recipe requires 0.25 cups of buttermilk.

1 cup=  236.59 ml

So,

0.25 cups = 0.25 * 236.59 = 59.15 ml

Therefore Erin has enough buttermilk for the recipe.

1.3. The cake recipe calls for the following ingredients:

0.8 kg of flour

650 g of sugar

900,000 mg of butter

Simplify the units by converting them to a common unit

0.8 kg = 0.8 * 1000 g = 800 g

650 g = 650 g (no conversion needed)

900,000 mg = 900,000 mg / 1000 = 900 g

Therefore the required amounts of the ingredients are: 800 g of flour, 650 g of sugar, 900 g of butter.

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The inequality c ≥ 20 represents the minimum number of candles that need to be sold to pay for a visit to Knotts costing $100 when each candle is sold for $5.

To write the inequality that represents c, we need to consider the cost of the visit to Knotts and the price of each candle that is being sold. Let's assume that the cost of the visit to Knotts is $100 and each candle is being sold for $5.

We know that the total amount of money she earns from selling c candles is given by 5c, and this amount must be greater than or equal to the cost of the visit, which is $100. Therefore, we can write:

5c ≥ 100

Dividing both sides of the inequality by 5, we get:

c ≥ 20

Therefore, the inequality that represents c is c ≥ 20. This means that she needs to sell at least 20 candles to be able to pay for the visit to Knotts. If she sells fewer than 20 candles, she won't have enough money to cover the cost of the visit.

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Answer:

The proposed equation is solved as follows:

2X + 7 = 21

2X = 21 - 7

2X = 14

X = 14 / 2

X = 7

The value of X is 7.

A first degree equation is an algebraic equation in which each term is either a constant or a product of a fixed term on a single variable. Therefore, this equation is a first degree one, since it only has a single variable, which is X.

Answer:

473

Step-by-step explanation:

1:1

473:x

Cross Multiply

1x=473

Divide both sides by 1

x=473

Answer:

x = 25

Step-by-step explanation:

Answer:

x = 25°

Step-by-step explanation:

<BDC + BCD = <ABD      I know that part may seem confusing but Im just giving you a little boost of knowledge about it. So later on in math ( I imagine that your barely starting off with this stuff) it will become more complex. You have to lable the sides because later on you will have to find the decimales or whole numbers in  meters inches or whatever. But yea you dont need to worry abbout that till later. :)

x + 90° =115°

Answer:

No, Because it has 2 endpoints lines travel forever in both directions

Step-by-step explanation:

Answer:

D. No, it has two end points.

Step-by-step explanation:

A line is something that extends indefinitely in one or both directions.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following data:

First round of scores :

71 65 67 73 74 73 71 71 74 73 71 70 75 71 72 71 75 75 71 71 74 75 66 75 75 75 71 72 72 73 71 67

STEM AND LEAF PLOT of 1st ROUND SCORES:

Stem - - | - - Leaf

______________

6 - - - | - - 5 6 7 7

7 - - | - - 0 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5

- - - | - - 5 5 5 5 5

Second round scores :

69 69 73 74 72 72 70 71 71 70 72 73 73 72 71 71 71 69 70 71 72 73 74 72 71 68 69 70 69 71 73 74

STEM and LEAF PLOT of 2nd ROUND SCORES:

Stem - - | - - Leaf

______________________________

6 - - | - - 8 9 9 9 9 9

7 - - | - - 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3

- - - | - - 4 4 4

Both set of data have similar shape, showcasing what we can call a negative skew with the tail to the leaf and peak to the right of the distribution.

Answer:

The point of intersection would be (3,-2)

Step-by-step explanation:

To determine the intersection of the conics we can use a system of equations since they intersect when they are both equal.

Then, we have these equations:

Equalize equations (1) and (2).

Solve for the x-coordinate.

Since the circle has a radius of 4, we know that the intersection cannot be x=-9. Then, the x-coordinate to use is x=3.

Substitute x=3 into one of the equations to determine the y-coordinate:

Hence, the point of intersection would be (3,-2)