Solve the equation for m
Q=mL

To find the percentage of plants that are exactly 13cm tall using a proportion, you need to first identify the number of plants that are 13cm tall and the total number of plants. Based on your question, let's assume that 2 out of 9 plants are exactly 13cm tall.

Now, set up a proportion with the given information:

(number of plants 13cm tall) / (total number of plants) = (x) / (100)

In this case, the proportion is:
2/9 = x/100

To solve for x, cross-multiply:
2 * 100 = 9 * x
200 = 9x

Now, divide both sides by 9:
x = 200 / 9
x ≈ 22.22
So, approximately 22.22% of the plants in Dorothy's garden are exactly 13cm tall.

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Answer:

cos θ = 4/5.

tan θ = 3/4.

Step-by-step explanation:

Given sin θ = 3/5, we can find the value for the other side of the right triangle.

Using the Pythagorean formula, we can derive the value of this other leg.

5² = 3² + x²

x = 4.

Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.

cos θ= A/H --> cos θ = 4/5.

tan θ= O/A --> tan θ = 3/4.

Answer:

Step-by-step explanation:

a is (5,1)

b is (-5,-1)

c is (5,-1)

Answer:

0.21428571428

Step-by-step explanation:

hope it helps

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

Answer:

y=mx+b

b= y intercept

mx=slope

First lets find the y intercept = the y intercept is 3

Now lets find the slope = the slope is 3x because each time it goes 3 up it goes one right

So the answer is y=3x+3

The area of a polygon with the given vertices is calculated by adding the areas of the individual triangles that make up the polygon.

A polygon is a closed figure in a plane consisting of a set of straight line segments connected end-to-end. The sides of a polygon are all of equal length, and the angles between them are all of equal measure. Polygons are one of the most fundamental shapes in geometry. They include triangles, squares, rectangles, hexagons, and many more.

The area of triangle WXZ is calculated as (1/2) × |XW × ZY|,

where XW is the vector from W to X and ZY is the vector from Z to Y.

In this example,

XW = (3, -2) and ZY = (-2, -4).

Therefore, the area of triangle

WXZ is (1/2) ×|(3, -2) × (-2, -4)| = (1/2) × 14 = 7.

The area of triangle XYA is calculated similarly,

where XY = (2, 3) and YA = (-2, -4).

Therefore, the area of triangle

XYA is (1/2) ×|(2, 3) ×(-2, -4)| = (1/2)× (-14) = -7.

The area of the polygon is calculated by adding the areas of the individual triangles, which in this example is 7 + (-7) = 0. Therefore, the area of the polygon with the given vertices is 0.

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Answer:

a. $70.43

b. 23.43 + 13.92 + 32.98 = t (UNSURE)

Step-by-step explanation:

Since Mrs. Thomas is driving 231 miles using 23 miles per gallon, let's start by dividing 231 by 23

\(\frac{231}{23} = 10.043....\)

We need to round 10.043... to 11 because you can't get part of a gallon.

Now, we need to multiply 2.13 by 11 to get the total amount of money for gasoline.

\(11 * 2.13 = 23.43\)$

We also have the aditional meal expenses, which are $13.92 and $32.98.

We can use an equation to solve. Our total amount will be represented by t.

\(23.43 + 13.92 + 32.98 = t\)

\(t = 70.43\)

Hope this helps! Part b seems a bit confusing. I'll fix my answer if you could clarify, like if I do "communative property" or write equation. :))

a. The dependent variable for this study is the number of correct answers on the test given.

b. The dependent variable in this study is a discrete variable.

a. The dependent variable for this study is the number of correct answers on the test given to the students after they prepared for the test by either generating and answering questions or reading the passage a second time.

b. The dependent variable in this study is a discrete variable because the number of correct answers can only take on whole numbers (e.g., 0, 1, 2, 3, etc.). It is not possible to have fractional or continuous values of correct answers on the test.

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Multiply the whole number by the denominator. Add the product to the numerator of the proper fraction. The sum is the numerator of the improper fraction. The denominator will stay the same.

Answer:

Formula of reflection the y axis is

P(x,y)→P'(-x,y)

Now

By using formula

E(1,3)=E'(-1,3)

F(1,0)=F'(-1,0)

P(4,2)=P'(-4,2)

R(2,0)=R'(-2,0)

Step-by-step explanation:

Answer: y = 40 - 3x

Step-by-step explanation:

x = # of days

y= number of hours remaining

40 minus 3 times the number of days Wally volunteers would be the formula to find the number of hours he has remaining after a certain number, x, days.

Answer:

we need the graph in order to find the answer.

Step-by-step explanation:

Using the concept of sample, the correct option is:

B. The sample is the randomly selected customers.

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

Sampling:  

Suppose I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

In this case:

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

In this question, a survey is passed to the customers, which are the sample. Thus, the correct option is:

B. The sample is the randomly selected customers.

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Answer:

b

Step-by-step explanation:

Answer:

you dont do 6x6 instead you do 6 pie r then multiply by 11.

Step-by-step explanation:

Answer:

correct

Step-by-step explanation:

3(4)-2(4)+8=12

12-8+8=12

12=12

By mathematical induction, we have proven that any positive integer can be written as a sum of distinct members of the given series.

To prove that any positive integer can be written as a sum of distinct members of this series, we can use mathematical induction.

Firstly, let's observe that the given series starts as an arithmetic series with a common difference of 1, and then becomes a geometric series with a common ratio of 2.

Now, we will prove the statement for n = 1, that is, any positive integer can be written as a sum of distinct members of the series for n = 1.

For n = 1, we have only one term in the series, which is 1. Clearly, any positive integer can be written as a sum of distinct 1's.

Next, we assume that the statement is true for some positive integer k, that is, any positive integer can be written as a sum of distinct members of the series for n = k.

Now, we will prove that the statement is also true for k + 1, that is, any positive integer can be written as a sum of distinct members of the series for n = k + 1.

Since any positive integer can be written as a sum of distinct members of the series for n = k, we can express (k + 1) as the sum of distinct members of the series for n = k and add the next term in the series, which is 2 times the last term.

Let the sum of distinct members of the series for n = k that add up to k + 1 be denoted as S. Then, we have:

(k + 1) + 2 x last term in S = S + last term in S + 2 x last term in S

= S + 3 x last term in S

= sum of first (k+1) terms of the series

Therefore, we can express (k + 1) as the sum of distinct members of the series for n = k + 1, which completes our induction step.

Hence, by mathematical induction, we have proven that any positive integer can be written as a sum of distinct members of the given series.

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Answer:

It is 32:200 for the 2nd row last one                        

Answer:

It is 32:200 for the 2nd row last one                        

the correct answer is 8

Options B and C, Utilizing basic fractions, the qualities scenario displays a result of 0. 4 Jesse completed 40 out of 100 arithmetic problems and rode his bike for 4 of the 10 kilometers.

We are seeking a scenario that corresponds to a value of 0.4 or 40% among the possibilities mentioned, which represent various sections or fractions of a total.

Jesse rode his bike 4 out of the 10 miles in option B, which is equal to 0.4 or 40%.

Similarly, Jesse completed 40 of the 100 arithmetic problems in option C, which is likewise 0.4 or 40%. The other choices don't correspond to a 0.4 value.

A fraction of 2/3, or 0.666, is represented by choice A, a fraction of 4/100, or 0.04, by option D, and a fraction of 1/2, or 0.5, by option E.

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The question is -

Which of the following scenarios shows a value of 0.4? Select all that apply.

A. Jesse sold 40 out of 60 items at a garage sale.

B. Jesse rode 4 out of 10 miles on his bike.

C. Jesse finished 40 out of 100 math problems.

D. Jesse ate 4 out of 100 jellybeans.

E. Jesse returned 4 out of 8 library books.

Answer:

The answer is  7±2i

Step-by-step explanation:

THIS IS ONE HUNDRED PERCENT CORRECT. My teacher told me. So the symbol between them is like an underscore an a plus in one. I cant type is that easy so I tried my best.

(i) 2.2% is the periodic interest rate offered by Becky's savings account

(ii) Becky earn $27,000  in interest on her first payment during this time

(iii) Becky earn $1,782 in interest on her second payment during this time

Part I:

Given that the savings account is paying simple interest at an annual interest rate of 8.8% calculated quarterly.

Then the periodic interest rate offered by Becky's savings account is given by  8.8% / 4 = 2.2%

Part II:

Given that the first payment of $27,000 is occurring in 3 months, then Becky  will be able to have the money in the bank for 3 quarters before the lump-sum payment would occur

Part III:

Given that Becky's first payment of $27,000 will be in her account for 3 periods at a simple interest of 2.2% per quarter.

The amount Becky will earn in interest on her first payment during this period is given by:

I = (P*R*T) / 100

I = (27,000 * 2.2 * 3) / 100

I = $1,782

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Answer:

C

Step-by-step explanation:

Each x value only corresponds with 1 y value

Answer:

h = 14 units

Step-by-step explanation:

Given:

Area of parallelogram = 84 units²

base length = 6

height = h

Required:

The missing height

SOLUTION:

Area of parallelogram = base × height

Plug in the values into the equation

Thus:

84 = 6 × h

84 = 6h

Divide both sides by 6

84/6 = 6h/6

14 = h

h = 14 units

The distance between the boat 1 and boat 3 is 34 miles if the  distance between Boats 2 and 3 is 50 miles.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The distance between boat 2 and boat 3 = 50 miles

Let's suppose the point is A between the boat 2 and boat 3

Distance between boat 3 and point A = 50 - 20 = 30 miles

As we can see in the figure, it is a right angle triangle.

From the Pythagoras theorem

Distance between the boat 1 and boat 3 = √(30² + 16²) = 34 miles

Thus, the distance between the boat 1 and boat 3 is 34 miles if the  distance between Boats 2 and 3 is 50 miles.

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Answer:

Yes, it is true by AAS theorem.

The triangles ΔMNP and ΔQRS are congruent triangles

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔMNP

Now , let the second triangle be ΔQRS

where the measure of angle ∠MNP = measure of angle ∠QRS = 90°

And , the measure of side NP = measure of side RS

And , the measure of ∠NPM = measure of angle ∠RSQ

So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent by ASA theorem

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Using the power series expansion of cos(x) to find the sum of this series. Recall that:

cos(x) = ∑[n=0, ∞] (-1)^n (x^(2n)) / (2n)!

Comparing the given series to the power series expansion of cos(x), we have:

(-1)^n 2^(2n) / (2n)! = (-1)^n 42^n (2n)! / (2n)!

Therefore, cos(x) = ∑[n=0, ∞] (-1)^n (x^(2n)) / (2n)! = ∑[n=0, ∞] (-1)^n 2^(2n) / (2n)! = ∑[n=0, ∞] (-1)^n 42^n (2n)! / (2n)!

Setting x = 4 in the power series expansion of cos(x), we get:

cos(4) = ∑[n=0, ∞] (-1)^n (4^(2n)) / (2n)! = ∑[n=0, ∞] (-1)^n 2^(2n) / (2n)!

Therefore, the sum of the given series is cos(4) / 42 = cos(4) / 1764.

Hence, the sum of the series is cos(4) / 1764.

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