Which shows how to calculate the number of liters he used if he used 5 cups of water?
divide 5 by 4.22
multiply 5 by 4.22
divide 5 by 1.05
multiply 5 by 1.05

Answer:

Step-by-step explanation:

Let the rate of boat in still water be b and the speed of the current be c

We got equations for time:

Add up the equations:

Then finding the values of c

Given matrices are from here

https://brainly.com/question/18267865

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Problem 3

a)

B - C = DNE

We cannot subtract matrices of different sizes. Matrix B is 2x2 while C is 3x2. Both matrices must have the same number of rows, and they must also have the same number of columns. The matrices don't have to be square.

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b)

[tex]A+B = \begin{bmatrix}-5 & 6\\7 & 4\end{bmatrix}[/tex]

You add the corresponding elements. For instance, in the top left corner we have -1+(-4) = -5. The other entries are treated in a similar manner.

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c)

[tex]-2E = \begin{bmatrix}6 & -4 & 8\\-12 & 14 & -16\\-10 & -18 & 20\end{bmatrix}[/tex]

You get this from multiplying each entry in matrix E by -2. Eg: top left corner has -2*(-3) = 6

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d)

[tex]CD = \begin{bmatrix}4 & 7 & 8\\ 1 & 3 & 4\\14 & 17 & 16\end{bmatrix}[/tex]

Matrix C has 3 rows and D has 3 columns. The final answer will be size 3x3

To generate each value in the answer matrix, you'll highlight rows of C to pair with columns of D. Then you'll multiply out the corresponding values, after which you add those products. This is done for every entry in the answer shown above.

For example, the first row of C is highlighted and the second column of D is highlighted. Those values pair up and multiply getting -1*(-1) + 2*3 = 1+6 = 7, which goes in the first row and second column of the answer matrix. The other entries are handled in a similar fashion.

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e)

[tex]\det(B) = -46[/tex]

The 2x2 matrix determinant formula is [tex]\begin{vmatrix}a & b\\c & d\end{vmatrix} = a*d - b*c[/tex]

In this case, a = -4, b = 6, c = 5, d = 4.

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f)

[tex]B^{-1} = \begin{bmatrix}-2/23 & 3/23\\ 5/46 & 2/23\end{bmatrix}[/tex]

Swap the top left and bottom right corners of matrix B. Change the sign of the other two corner values. Then multiply each entry by 1/d where d is the determinant found back in part (e) above. Be sure to reduce any fraction as much as possible.

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Problem 4

Answers: x = 2  and y = -10

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Work Shown:

[tex]\begin{bmatrix}2x & 4\\-5 & -2\end{bmatrix}+\begin{bmatrix}3 & -7\\11 & y-1\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & 4+(-7)\\-5+11 & -2+(y-1)\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & -3\\6 & y-3\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\[/tex]

In the top left corners of each matrix, in line 3, we have 2x+3 = 7 which solves to...

2x+3 = 7

2x = 7-3

2x = 4

x = 4/2

x = 2

In the bottom right corners, we have y-3 = -13 which solves to....

y-3 = -13

y = -13+3

y = -10

Answer:

[A] 9 minutes to complete one task

[B] 6 tasks completed, with 2/3rds of another task completed.

Step-by-step explanation:

5 tasks in 45 mins is equal to one task in 9 minutes

60 minutes in an hour, 9 minutes per task = 6 tasks completed, with 2/3rds of another task completed.

Step-by-step explanation:

take the right triangle

15^2 = 9^2 + x^2

225 = 81 + x^2

x = 12

area of square b = 144

Answer:

no

Step-by-step explanation:

because it is nor a solution

Answer:

10

Step-by-step explanation:

60% of 10 is 6, so if 6 is 60% then 100% of them would be 10

Answer:

M<1 = 120° therefore, M<7 = 120°

M<1 = 120° therefore, M<5 = 120°

Answer:

[tex]\frac{\sqrt{2}-\sqrt{6} }{4}[/tex]

Step-by-step explanation:

sin(x)==cos(90-x)

cos(90-195)

cos(-105)

cos(105)

cos(105)= [tex]\frac{\sqrt{2}-\sqrt{6} }{4}[/tex]

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Answer: Katherine should reject the null hypothesis.

Step-by-step explanation:

We reject the null hypothesis when p-value is less than the significance level.

here,  H0:μ=329 versus Ha:μ<329

α=0.05 (significance level)

p-value<0.005

so , we should reject the null hypothesis as p-value is less than the significance level.

Hence, Katherine should reject the null hypothesis.

28/4 or 7

Well, I looked it up. Ain't gonna lie

Answer:

If the Payans make a 15% down payment of $1,237.18, their monthly payment will be $35.

Hope this helps!

Full question attached

Answer:

Option C: because the percent of children compared differ too much

Explanation:

Sample Proportion of students from Montessori = students that participated from Montessori /total number of students assigned to Montessori

=30/54= 0.56

Sample proportion of students from other schools = students that participated I'm the study /total number of students assigned to other schools

=25/112

=0.22

We observe that there is a large difference(0.56-0.22) between the two sample proportions hence the bias

Step-by-step explanation:

try the option shown in the attachment, note, all the answers are marked with red colour.

Answer:

To write the answer without rounding or changing it in any way

Step-by-step explanation:

This is what exact means

Answer: 1) 2.375

               2) 2.833333333333333

                3) 2.095238095238095

               4)  3.823529411764706

Step-by-step explanation:

1)7/4+5/8=2.375

2)3/2+4/3= 2.833333333333333

3)2/3+10/7= 2.095238095238095

4)4-3/17= 3.823529411764706

Answer:

20m

Step-by-step explanation:

Perimeter is the sum of all the sides.

Perimeter = 3+5+1+7+4 = 20m

Answer:

Step-by-step explanation:

We use these three methods

1. Generalized cylinder method

2. Surface of revolution method

3. Method of slices general quadratic

1. For A = x² = 4z + 8

We use the method of slices for general quadratic

2. X²-4y²-4z² = 16

We use the generalized cylinder method

3. Y² = z² + 2z²

We use surface of revolution

Please check attachment for answers

Answer:

$33.84 cents

Step-by-step explanation:

Given the following question:

4 gallons = 15.04
1 gallon = ?

How much for 9 gallons?

To find the answer we have to find how much one-gallon costs since we already know how much it costs for 4 gallons of this unleaded gasoline.

[tex]15.04\div4[/tex]
[tex]15.04\div4=3.76[/tex]
[tex]=3.76[/tex]

One gallon of this gasoline costs $3.76 now we need to find how much it costs for 9 gallons.

[tex]3.76\times9=33.84[/tex]
[tex]=33.84[/tex]

For nine gallons of gasoline it will cost you "$33.84 cents."

Hope this helps.

Answer:

42y^2 - 43y + 1/7y^3

Step-by-step explanation:

Answer:

8 [tex]\frac{3}{4} \\[/tex]

Step-by-step explanation:

Going from left to right on the number line we see that k is between 8 and 9. So 8 will be your whole number.  The number line is divided into 8 sections between each whole number and k is located 6/8 between 8 and 9.  

This mixed number is 8 6/8. We can reduce the 6/8 to 3/4 by dividing by 2 on the top and bottom.  So your final answer is 8 3/4.

Answer:

D

Step-by-step explanation:

That is the closest number from the sum of 35+6 35+7 35+9

Answer:

1. 3/6

2. 2/4

3. 4/6

4. 3/6

Step-by-step explanation:

multiple each fraction by the number of parts I pretty sure

Answer/Step-by-step explanation:

This is what we know...

f(x) = 3x + 2 and h(x) = 3x and that h(2) or x=2

Given that info we can input our values into the variables.

f(2) = 3(2) + 2

Now according to the Order of Operations, we should multiply next.

f(2) = 6 + 2

Now according to the Order of Operations, we should add.

f(2) = 8

I don't know if your question wants it as a ordered pair or not so ignore this if there is any of those. The answer in an ordered pair would be (2,8)

Now we have to do the other equation.

Input our values into the variables

h(2) = 3(2)

Now according to the Order of Operations, we should multiply next.

h(2) = 6

I don't know if your question wants it as a ordered pair or not so ignore this if there is any of those. The answer in an ordered pair would be (2,6)

Hope this Helps! :)

If you have any extra questions, comment them and I will try my best to answer!

-SGO

Answer:

there are no sequences pls edit or repost so i can help : )

(-3, 23/2)

the picture i linked shows the step by step

Answer:

41

Step-by-step explanation:

Answer:

the value of x is 41°

Step-by-step explanation:

x + 76°+63° = 180°{being straight angle}

or, x+139° = 180°

or, x = 180° - 139°

or, x = 41°

Answer:

[tex]y=3x-1[/tex]

Step-by-step explanation:

lines that are parallel have the same gradient

using this fact we can create the equation:

[tex]y=3x+c[/tex]

and substitute in our values

[tex]2=3+c[/tex]

[tex]c=-1[/tex]

so the equation of the line is [tex]y=3x-1[/tex]