In Science class, students are tracking the amount of rainfall. So
far, it has rained 6 inches in 15 days. If this rate continues, how
much rain will accumulate after 40 days?

The answer will be 25n because force equals mass times acceleration

The values of x and the measures of the angles, found using the angle sum property for the geometric figures are;

4. x = 130°

5. x = 112°

6. x = 115°

7. x = (232/3)°, m∠L = (232/3), m∠M = (479/3)°, m∠O = (464/3)°, m∠P = (332/3)°

The angle sum property defines the measeure of the interior angle found in geometric figures.

4. The angle sum property of a pentagon indicates that we get;

130° + 85° + x + 105° + 90° = 540°

410° + x = 540°

x = 540° - 410° = 130°

x = 130°

5. The angle sum property for a hexagon indicates that we get;

x° + 109° + 127° + 118° + 142° + x° = 720°

2·x + 496° = 720°

x = (720° - 496°)/2 = 112°

6. The angle sum property for a pentagon indicates that we get;

125° + 63° + 167° + 90° + x° = 560°

445° + x = 560°

x = 560° - 455° = 115°

7. angle sum property for a pentagon indicates that we get;

(2·x + 5)° + 61° + 2·x° + (x + 30)° + x° = 560°

6·x + 96 = 560

x = (560° - 96°)/6 = (232/3)°

m∠L = x° = (232/3)°

m∠M = 2 × (232/3) + 5 = (479/3)°

m∠O = 2 × (232/3)° = (464/3)°

m∠P = ((232/3) + 30) = (332/3)°

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Answer:

A

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

40 x 0.05 = 2

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The given sequence is not an arithmetic sequence.

In an arithmetic sequence, the difference between any two consecutive terms is always the same.

However, in this sequence, the difference between the first two terms is 102, and the difference between the second and third terms is 99. This indicates that the sequence is not following a fixed pattern of addition or subtraction.

On closer inspection, we can see that the sequence alternates between adding 102 and 99 to the previous term, respectively.

Therefore, it is following a pattern, but it is not an arithmetic sequence. This type of sequence is called a "mixed arithmetic/geometric sequence" or simply a "mixed sequence."

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\(\\ \sf\longmapsto 3y=z-2x\)

\(\\ \sf\longmapsto -2x=3y-z\)

\(\\ \sf\longmapsto 2x=-3y+z\)

\(\\ \sf\longmapsto 2x=z-3y\)

\(\\ \sf\longmapsto x=\dfrac{z-3y}{2}\)

Answer:

\( x = \frac{z - 3y}{2} \)

Step-by-step explanation:

Question :

\(3y = z - 2x\)

First take 2x to the left to make the 2x as a positive number (So, It's easy to solve)

\(3y + 2x = z\)

Then take 3y to the right side

\(2x = z - 3y\)

Now, divide both sides by 2 to make the x as the Subject

\( \frac{2x}{2} = \frac{z - 3y}{2} \\ x = \frac{z - 3y}{2} \)

hope this helps you.

Please let me know if you have another questions :-)

Answer:

Step-by-step explanation:

no

Answer:

If it passes through the origin (starting with 0) like (0,2)

The stems that have the same number of leaves are (c) 4 and 5 each have 3 leaves

The table of values is given as:

Week 1: 12 15 25 45 52 30 31

Week 2: 22 25 46 51 10 19 33

Week 3: 44 21 30 20 10 24 52

Remove the week tags:

12 15 25 45 52 30 31

22 25 46 51 10 19 33

44 21 30 20 10 24 52

Sort the data values in tens

10 10 12 15 19

20 21 22 24 25 25

30 30 31 33

44 45 46

51 52 52

Now, we can now plot the stem-and-leaf graph.

This is represented as follows:

Stem  |   Leaves

1               0 0 2 5 9

2              0 1 2 4 5 5

3              0 0 1 3

4              4 5 6

5              1 2 2

In the above plot, we can see that stems 4 and 5 have 3 leaves each

Hence, the stems that have the same number of leaves are (c)

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The two column proof to justify the complementary angles are;

Statement 1. ∠1 and ∠2 are complementary

∠2 and ∠3 are complementary

Reason 1: Given

Statement 2: m∠1 + m∠2 = 90°

Reason 2: Definition of Complementary Angles

Statement 3. m∠2 + m∠3 = 90°

Reason 3: Definition of Complementary Angles

Statement 4: m∠1 + m∠2 = m∠2 + m∠3

Reason 4: Transitive property of equality

Statement 5: m∠1 = m∠3

Reason 5: Substitution Property of Equality

Complementary angles are defined as angles that sum up to 90 degrees.

Now, from the question, we are given that;

∠1 and ∠2 are complementary, and ∠2 and ∠3 are complementary.

From the image attached, we can get a two column proof based on the given questions as;

Statement 1. ∠1 and ∠2 are complementary

∠2 and ∠3 are complementary

Reason 1: Given

Statement 2: m∠1 + m∠2 = 90°

Reason 2: Definition of Complementary Angles

Statement 3. m∠2 + m∠3 = 90°

Reason 3: Definition of Complementary Angles

Statement 4: m∠1 + m∠2 = m∠2 + m∠3

Reason 4: Transitive property of equality

Statement 5: m∠1 = m∠3

Reason 5: Substitution Property of Equality

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Complete Question is;

Identify the correct justification for each step, given that ∠1 and ∠2 are complementary, and ∠2 and ∠3 are complementary.

1. ∠1 and ∠2 are complementary

∠2 and ∠3 are complementary

2. m∠1 + m∠2 = 90°

3. m∠2 + m∠3 = 90°

4. m∠1 + m∠2 = m∠2 + m∠3

5. m∠1 = m∠3

Answer:

Point F is at -3

Step-by-step explanation:

Answer:

got u hommie -x-5

Step-by-step explanation:

graphed it on desmos

Answer: I hope this helps.

Step-by-step explanation:

Answer:

Total earning last week = 225

Step-by-step explanation:

Given:

Earning per hour = 12 pesos

Deduct per late delivery = 15 pesos

Total number of hour = 25 hour

Total number of late delivery = 5

Find:

Total earning last week

Computation:

Total earning last week = (Total number of hour)(Earning per hour) - (Deduct per late delivery)(Total number of late delivery)

Total earning last week = (12)(25) - (15)(5)

Total earning last week = 300 - 75

Total earning last week = 225

the pool can contain approximately 8,218 gallons of water.

A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. We are required to find out how many gallons of water can the pool contain.

Converting diameter to radius: The diameter of the cylinder is given as 20 feet. Hence the radius of the cylinder can be obtained by dividing the diameter by 2.

r= 20/2 = 10 feet

Volume of cylinder:Volume of cylinder is given by πr2h where π is a mathematical constant whose value is approximately 3.14r is the radius of the cylinderh is the height of the cylinder.

Putting values into the formula, we get:

π(10)²(3.5)≈ 1,095.75 ft³

Converting ft³ to gallons: 1 ft³ = 7.5 gallons

Therefore, 1,095.75 ft³ ≈ 8,218.13 gallons

the pool can contain approximately 8,218 gallons of water.Hence, the pool can contain approximately 8,218 gallons of water.

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Answer:

1.20+2m=15.20

m=7

Step-by-step explanation:

Answer:

1080 total inches of ribbon. 60 pieces of ribbon can be cut.

Step-by-step explanation:

Firstly, the dressmaker has 15 rolls of ribbon that are 6 feet in length. Multiply those to see how many feet in total, 90. Then multiply this by 12 (there are 12 inches in a foot) to get the amount of total inches: 1080.

This is the answer to the question below the problem.

To answer the bigger question at hand:

You would need to take 1080 divided by 18 to find how many pieces the dressmaker can cut. She can cut exactly 60 pieces from her 15 rolls of ribbon.

Answer:

h - d = 477 meters

Where:  h = original height

           d  = amount the helicopter descended

The original height of the helicopter is given to be h

Step-by-step explanation:

If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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The solution to the equation is -1.5 or -3/2.

We have the equation:

x² + 3-2x= 1+ x² +5

Combine Terms and subtract x² from both sides:

x² - x² + 3 -2x = 1 + 5 + x² - x²

3 -2x = 1 + 5

Add:

3 -2x = 6

Combine Terms and subtract 3 from both sides:

-2x + 3 -3 = 6 - 3

-2x = 3

Dividing by -2 we get:

x = 3/(-2)

x = -3/2

x = -1.5

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Answer:

1) Is 90° because that's what the little square in the corner means.

2) Is 60° because if you take everything to the right of the vertical line and add them up, and then subtract the total from 180° you can find the missing angle.

3) Is 30° because if you use what's below the horizontal line and do the same thing as number 4 (add the existing angles together and subtract the total from 180) you can find the missing angle.

4) Is 20° because if you add the existing angles together (40° + 90° + 30°), you'll get 160°, and since the diagonal line that's separating everything from 40° to 30° looks as though it equals 180°, you'd subtract 160° from 180° in order to get the missing angle.

5) Is also 90° because the angle across from it (1) looks to be around the same size.

I solved for each in the following order:

1, 5, 4, 3, 2.

I hope this helps. Also please let me know if I got something wrong or if you still need help :)

The sun of the 3 inside angles of a triangle = 180 degrees.

A circle = 360 degrees.

The sum of both would be 180 + 360 = 540 degrees.

Answer:

3 angles in a triangle add up to 180

And 360 in a circle

Answer:

B

Step-by-step explanation:

\(2x^{4}y - 18x^{2}y^{3}\)

Both sides have \(x^{2}\)

\(x^{2} (2x^{2}y - 18y^{3})\)

Both sides have y

\(yx^{2} (2x^{2} - 18y^{2})\)

Both sides have 2

\(2yx^{2} (x^{2} - 9y^{2})\)

\(x^{2} = x.x\\9y^{2} = 3y. 3y\)

\((x^{2} - 9y^{2}) = (x +3y) (x-3y)\)

Final:

\(\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}\)

Hope this helps ^-^

The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.

The given expression is 2x⁴y-18x²y³.

Factor the expression as follows:

2x⁴y-18x²y³

= 2x²y(x² - 9y²)

= 2x²y(x² - (3y)²)

= 2x²y(x + 3y)(x- 3y)

Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

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Explanation:

The ratio 6 to 7 can be written as 6:7

We can multiply both parts of that ratio by 20 to get 120:140 as an equivalent ratio. The 120 is the number of baseball cards and 140 is the number of football cards. He has 120+140 = 260 cards total.

The number of cards in the collection is 260.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained in another value.

Number of cards = (sum of ratios x number of baseball cards) / ratio of baseball cards

(13 x 120) / 6 = 260

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Answer:

P=35cm and A=49sq is correct

a) the demand function is Q(P, R) = 1400 + 10R

b) the manufacturer should set the size of the rebate at $150 in order to maximize its profit.

a. To find the demand function, we need to determine how the quantity demanded (Q) changes with respect to the price (P) and the rebate offered (R).

Given that the initial price is $450 and the number of sets sold increases by 250 per week for each $25 rebate, we can express the demand function as follows:

Q(P, R) = 1400 + (250/25)R

Simplifying this equation, we have:

Q(P, R) = 1400 + 10R

Therefore, the demand function is Q(P, R) = 1400 + 10R.

b. To maximize profit, we need to consider both the revenue and cost functions. The revenue function is given by:

R(x) = P(x) * Q(x)

Given that the price function is P(x) = $450 - R, and the demand function is Q(x) = 1400 + 10R, we can rewrite the revenue function as follows:

R(x) = (450 - R) * (1400 + 10R)

Expanding and simplifying the equation:

R(x) = 630000 + 4400R - 1400R - 10R^2

R(x) = -10R^2 + 3000R + 630000

The cost function is given as C(x) = 68000 + 150x.

To maximize profit, we need to subtract the cost from the revenue:

Profit(x) = R(x) - C(x)

Profit(x) = -10R^2 + 3000R + 630000 - (68000 + 150x)

Simplifying further:

Profit(x) = -10R^2 + 3000R + 562000 - 150x

To find the rebate size that maximizes profit, we can take the derivative of the profit function with respect to R, set it equal to zero, and solve for R:

d(Profit(x))/dR = -20R + 3000 = 0

-20R = -3000

R = 150

Therefore, the manufacturer should set the size of the rebate at $150 in order to maximize its profit.

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Answer:

Step-by-step explanation:

So, the longest tooth is 4 3/4 and the shortest is 3 1/4. So if you subtract 4 3/4 - 3 1/4, you will get the answer 1 2/4, which you can simplify to 1 1/2 or 1.5 :)

Step-by-step explanation:

y =-5

5x-6y=40

5x-6(-5)=40

5x+30=40

5x=40-30

x=10/5

x=2

Answer:

The value of x is 2 and y is -5

Step-by-step explanation:

Here, y = - 5 and 5x - 6y = 40 are two given equations.

Substitution Method:

y = - 5 ...(1)

5x - 6y = 40 ...(2)

Now, put the value of y = - 5 in equation (2) we get,

5x - 6y = 40

5x - 6(-5) = 40

5x - (-30) = 40

5x + 30 = 40

Now, Subtract 30 from both side

5x + 30 - 30 = 40 - 30

5x = 10

Now, Divide by 5 from both side

5x ÷ 5 = 10 ÷ 5

x = 2

Thus, The value of x is 2 and y is -5

5x - 6y = 40

5(2) - 6(-5) = 40

10 - (-30) = 40

10 + 30 = 40

40 = 40

Hence, L.H.S = R.H.S

-TheUnknownScientist

Step-by-step explanation:

"If the sum of 2 angles is 180°, then each is the supplementary angle of the other".

Answer:

A) 60 girls B)80 boys

Step-by-step explanation:

Pretend that the ratio is a fraction. If there are 4 boys for every 4 girls, than pretend that you add the 4 and the 3 together, thus giving you 7 as your denominator. Start with the girls, giving you a fraction of 3/7, multiply by 140, you get 60 as the number of girls. 140-60=80, giving you 80 boys.