Edgar's friends like the way he makes slime. He can make 5 different batches of slime an hour. Write an equation to model this situation.

Answer:

-7

Step-by-step explanation:

V = 207 cm^3

Step-by-step explanation:

volume of box A = 12 × 3 × 5 = 180 cm^3

volume of box B = 3 × 3 × 3 = 27 cm^3

total volume of box A and B = 180 + 27 = 207 cm^3

The coordinates of W after the rotation are:

W' = (7, -2)

For any point (x, y), a rotation of 180° maps the point into another with coordinates (-x, -y)

In this case, we can see that the coordinates of point W are (-7, 2), then we apply a rotation of 180° clockwise, and using the above rule, the coordinates of W after the transformation are:

W' = (- (-7), -2)

W' = (7, -2)

Learn more about rotations:

https://brainly.com/question/4289712

#SPJ1

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

For more questions on trigonometric form

https://brainly.com/question/31744474

#SPJ8

Part (a)

Count the number of individual digits in the leaf category only.

For the first row, we have 3 leaves representing 3 different ages between 20 and 29. Specifically those ages are 26, 26, 29. Repeat ages are possible.

The second row has 17 leaves in it

So far we have 3+17 = 20 people accounted for.

Keep this process going until you get every row.

You should find that in total there are 56 leaves in all to represent the 56 signers of the declaration of independence.

To verify the answer, you can look it up on any history website dealing with this point in time.

=======================================================

Part (b)

The youngest age is 26 because it corresponds to the smallest stem (2) and the smallest leaf (6)

=======================================================

Part (c)

The oldest person on the other hand was 70 since we look at the largest stem (7) and the largest leaf of that stem. There's only one leaf here so we don't have to worry about the second aspect.

Subtract the oldest and youngest ages to get the range.

range = max - min = 70 - 26 = 44

There's a 44 year gap between the oldest and youngest person.

=======================================================

Part (d)

No, the majority weren't between 30 and 39. Instead, the majority of the signers were between 40 and 49 since we have the most leaves in the stem corresponding to "4".

As per the matrix, the three linearly independent eigenvectors are 0, 0.05 and 1.

Now let's consider the given matrix A. We are asked to find three linearly independent eigenvectors and their corresponding eigenvalues. Linearly independent eigenvectors are important because they allow us to represent any vector in the space as a linear combination of these eigenvectors.

The first eigenvector v1 is -1, and it corresponds to the eigenvalue λ1 = 0. To check if this is indeed an eigenvector, we multiply it by A and check if the resulting vector is a scalar multiple of v1. In this case, Av1 = 0v1, which means that v1 is indeed an eigenvector with eigenvalue λ1 = 0.

The second eigenvector v2 is also -1, and it corresponds to the eigenvalue λ2 = 0. Again, we multiply it by A and check if the resulting vector is a scalar multiple of v2. Av2 = 0v2, which means that v2 is an eigenvector with eigenvalue λ2 = 0.

The third eigenvector v3 is 0, and it corresponds to the eigenvalue λ3 = 1. We repeat the same process and check if Av3 is a scalar multiple of v3. In this case, Av3 = 0.05v3, which satisfies the given condition of having all entries with absolute value smaller than 0.05. Therefore, v3 is an eigenvector with eigenvalue λ3 = 1.

To know more about matrix here

https://brainly.com/question/28180105

#SPJ4

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

Learn more about sine of angles on https://brainly.com/question/22649800

#SPJ1

Answer:

20

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Choose any two points on the line. For this, I will use (0, 5) and (1, 25):

\(\frac{25-5}{1-0}=\frac{20}{1} = 20\)

Answer:

0.42 ÷ 7

Step-by-step explanation:

There is a total of 42 squares out of 100 in the diagram.

It is broken into 7 equal parts.

This can be represented by 0.42 ÷ 7

Answer:

A = $ 545.38

A = P + I where

P (principal) = $ 345.00

I (interest) = $ 200.38

Answer:

A

Step-by-step explanation:

Took this test

Answer:

-3

Step-by-step explanation:

Answer: The slope whould be 3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept:

(0,0)

x|y

----

0|0

1|3

Diane plans to arrive at 7:30 A.M.

Time is a notion that is used to quantify the length and progression of occurrences. It is a key aspect of how things work and can be expressed in terms of hours, minutes, seconds, and other time intervals. Time helps us schedule, coordinate, and comprehend the sequence of events in our daily lives. It also enables us to arrange and synchronize activities.

If we take the assumed intended arrival time of 8:00 A.M. and deduct Diane's anticipated arrival time of 30 minutes, we get the intended arrival time.

Therefore, Diane plans to arrive at 7:30 A.M.

Learn more about time here :brainly.com/question/24662469

#SPJ1

Answer:

W=16

L = 2(16)-6 = 32-6 = 26

Step-by-step explanation:

width = W

length = L= 2W-6

P = 2L+2W

84=2(2W-6) + 2W

84= 4W -12 + 2W

84 = 6W -12

84 + 12 = 6W

96 = 6W

W=16

Answer: The formula for the area of a rectangle is: A = L * W where L is the length and W is the width. where S is the length of one side.

Step-by-step explanation:

Hope This helps, Brainlees, please

keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year.

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ I = (300)(0.15)(\frac{3}{2})\implies I=67.5\)

The students need to earn $182 per month in order to accomplish their goals.

Division is the process of dividing a number by a given number.

Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.

To collect $910 in 5 months, students must earn $910/5 per month.

910/5

= 182

Hence, the students need to earn $182 per month in order to accomplish their goals.

To learn more about division, click here:

https://brainly.com/question/10571790

#SPJ1

Answer:

80

Step-by-step explanation:

155-75=80

The approximate x-values for the local maximum and the local minimum are given as follows:

D) max ≈ -0.3 , min ≈ 2.3.

Hence the critical points of the graphed function are given as follows:

More can be learned about relative minimums of a function at https://brainly.com/question/9839310

#SPJ1

Answer:

1)   3.401244 ft^3

2)  708.75

Step-by-step explanation:

1) take the cube root of the volume (gets you one side of the cube), divide it by 100, then cube that.

2) square the scale factor (3/4), and multiply the area by that number.

if they're in a bundle of 10 then theres 10 pencils

Answer:

Slope-intercept form: y = -4x + 5

Point-slope form: y + 3 = -4 (x - 2)

Step-by-step explanation:

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Using tape diagram, when the fraction 2/5 divided by 1/2 equals 1.25.

When writing a fraction, a numerator and a denominator are used, with the denominator being greater than the numerator.

2.5 is the product of 2/5 and 1.

2/5 divided by 1/2 equals 1.25.

When writing a fraction, a numerator and a denominator are used, with the denominator being greater than the numerator.

An example of a fraction is 1/2 or 1/3.

We've got

1 and 1/2

the product of 2/5 and 1.

2/5x = 1

x = 5/2

x = 2.5

the proportion of 2/5 to 1/2.

2/5x = 1/2

x = 1/2 x 5/2

x = 5/4

x = 1.25

Thus,

2.5 is the product of 2/5 and 1.

2/5 divided by 1/2 equals 1.25.

To learn more about fractions from given link

https://brainly.com/question/20964888

#SPJ1

Complete question -

Use the tape diagram to represent and answer the question: How many 2/5 's are in 1 and 1/2.

Answer:

(-3,-1)

Step-by-step explanation:

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Answer:

The answer is

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

where

m is the slope

( x1 , y1) is the point

From the question the point is (0 , 3) and slope is - 6

Substitute the values into the above formula and solve

That's

We have the final answer as

Hope this helps you

Answer:

\(\boxed{\sf{m=-\dfrac{3}{11} }}\)

Step-by-step explanation:

You simply need to use a slope formula that passes through the points in order to solve this problem.

Slope:

\(\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }\)

y2=(-1)

y1=2

x2=5

x1=(-6)

Rewrite the problem down.

\(\sf{\dfrac{-1-2}{5-(-6)}=\dfrac{-1-2}{5+6}=\dfrac{-3}{11}=\boxed{\sf{-\dfrac{3}{11} }}}\)

-3/11

Therefore, the slope is -3/11, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Interest rate (r ) = 0.035 or 3.5%

Step-by-step explanation:

Given the principal amount of $1,800, and an interest payment of $378 earned in 6 years:

Use the simple interest formula and algebraically solve for variable, interest rate, r :

I  =  P × r × t

Where:

I = interest payment = $378

P = principal amount = $1,800

t = time (in years) = 6

r = interest rate

Divide both sides by P × t to isolate r :

\(\displaytext\sf{\frac{I}{P\:\times\:t}\:=\:\frac{P\:\times\:r\:\times\:t}{P\:\times\:t}}\)

\(\displaytext\sf{interest\:rate\:(r)\:=\:\frac{I}{P\:\times\:t}}\)

Substitute the given values into the formula for the interest rate:

\(\displaytext\sf{interest\:rate\:(r)\:=\:\frac{378}{1800\:\times\:6}\:=\:\frac{378}{10800}}\)

Interest rate (r ) = 0.035 or 3.5%

Therefore, the interest rate is 3.5%.