8 degrees and 90 minutes

Answer:

See below ↓

Step-by-step explanation:

1)

2)

Answer:

Step-by-step explanation:

Rotate counter-clockwise = from right towards left  

Rotate 90° about the origin = We can think that our rectangle is a flag and that we added a pole to it. The pole is rotated counter-clockwise about the origin until we have the 90°. Where is the flag now positioned?

(Draw a line from origin to one of the rectangle's points; draw another line from origin that is ⊥ to the previous one. You rotate that point 90° from right to left and will lend on the new line.)

1. K (-6, 3) L (-4, 5) M (-1, 2) N (-3, 0) → K' (-3,-6) L'(-5, -4) M'(-2, -1) N'(0, -3)

2. We notice that the rule for rotating 90° about the origin is (x, y)→(-y, x)

Answer and Step-by-step explanation:

First, it depends on what calculator you have.

For a Texas Instruments TI-30Xa Scientific Calculator (Standard calculator in schools), you would:

Press 281, then press the square root button (if that doesn't work, do it the other way, press the square root button first, then type in 281). After, add -9 (or subtract by 9). Finally, divide by 10.

For another calculator, you can simply type it in as seen (like on my Casio fx-115ES PLUS)

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

More can be learned about the perimeter of a polygon at https://brainly.com/question/3310006

#SPJ1

Answer:

Peanuts to Raisins!

Step-by-step explanation:

Answer:

B. Peanuts to Raisin!!!

Answer:

1. 57/16 or 3.5625 ounces of water

8 : 4.75

1 : 19/32  -----> divide both by 8

19/32x6=57/16 = 3.56 ounces

2. 2.4375 ounces of other ingredients

6-3.5625=2.4375

Step-by-step explanation:

21

may be, I am not sure about this answer. But it can be

Answer:

3x-10=7x+5

Step-by-step explanation:

Answer: 1.2

Step-by-step explanation:

Just use a calculator

Answer:

14 students have to retake the test

Step-by-step explanation:

to calculate the mean mark as

sum of ( product of mark and frequency ) ÷ total

mean = \(\frac{14(2)+15(10)+16(2)+17(3)+18(13)}{30}\)

        = \(\frac{28+150+32+51+234}{30}\)

       = \(\frac{495}{30}\)

      = 16.5

students who score less than 16.5 will retake the test , that is

2 scored 16 , 10 scored 15 , 2 scored 14

number who have to retake test = 2 + 10 + 2 = 14

Brandon have a total of $32 originally

From the question, we have the following parameters that can be used in our computation:

When he spends $24, he has 3/4 of the original amount left

Using the above as a guide, we have the following:

24 = Original * 3/4

Make "Original" the subject of the formula

So, we have the following representation

Original = 24/(3/4)

Evaluate the expression

Original = 32

Hence, the amount is $32

Read more about proportion at

https://brainly.com/question/870035

#SPJ1

The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions

Given: |x+3|-2=k

Below are rules for solving absolute value equations:

1. If p is positive and |y| = p, then

x = p   OR    y = -p

(two equations are set up)

2. If p is negative and |y| = p, then

No solution

3. If p is zero  and |y| = p, then

One solution

Using the rules:

|x+3|-2=k

when k = -1

|x+3|-2= -1    

|x+3| = 1

Rule 1 is applicable here. Thus, there are solutions  

when k = -3

|x+3|-2 = -3

|x+3| = -1

Rule 3 is applicable here. Thus, no solution

Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions.     The 2nd option is the true statement

Learn more about absolute value equation on:

brainly.com/question/28728226

#SPJ1

Answer:

A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).

Step-by-step explanation:

If she starts (at zero) with $10, that will be the y-intercept (0, 10)

That eliminates one option

Now if she were to not complete her chore, her y value will go down by one

At the same time she does not complete one, her x value will go up

This is because the y value represents money earned while the x value is for chores not completed

That being said, the coordinates should look like this:

(1, 9)

(2, 8)

(3, 7)

(4, 6)

(5, 5)

(6, 4)

(7, 3)

(8, 2)

(9, 1)

(10, 0)

And so on..

(1, 9) matches with the first problem so that is the answer

Answer:

so the answer is a if you didnt understand the other one

Step-by-step explanation:

Answer:

the correct answer is 44

Step-by-step explanation:

22/5 = 4.4

44/ 10 = 4.4

Given:

The graph of a function.

To find:

The domain and range of the graphed function in the interval notation.

Solution:

Domain: The set of x-values or input values is called domain.

Range: The set of y-values or output values is called range.

The given graph is divided into three pieces, first line, second parabola and third is again line. But the function is continuous.

The graph is defined for all values of x. So,

\(Domain=(-\infty,\infty)\)

Therefore, the correct option is A.

The maximum value of the function is 4 and the graph approaches in the negative direction from both sides. So,

\(Range=(-\infty,4]\)

Therefore, the correct option is B.

Answer:

c

Step-by-step explanation:

A Roth 401(k) plan takes money after tax has been removed from gross income, and has a contribution limit, but withdrawal is tax free.

Answer:

its c

Step-by-step explanation:

The solution of the system of linear equations is (x, y, z) = (1, 1, - 3).

In this problem we find a system of three linear equations with three variables, which can be resolved by several methods. In this case, we shall use the method of substitution. First, clear the variable x in the third equation:

x = 4 - 3 · y

Second, substitute x in the first two equations:

3 · (4 - 3 · y) + 2 · y - z = 8

12 - 9 · y + 2 · y - z = 8

- 7 · y - z = - 4

2 · (4 - 3 · y) + 2 · z = - 4

8 - 6 · y + 2 · z = - 4

- 6 · y + 2 · z = - 12

Third, clear z in the first equation derived in the previous step:

z = 4 - 7 · y

Fourth, substitute z in the second equation derived in the second step:

- 6 · y + 2 · (4 - 7 · y) = - 12

- 6 · y + 8 - 14 · y = - 12

- 20 · y = - 20

y = 1

Fifth, calculate y and x:

z = 4 - 7 · 1

z = - 3

x = 4 - 3 · 1

x = 1

The solution of the system of linear equations is (x, y, z) = (1, 1, - 3).

To learn more on systems of linear equations: https://brainly.com/question/20379472

#SPJ1

Answer:

x = 5+3i, x = 5-3i

Step-by-step explanation:

x^2-10x=-34

Add 34 to both sides:

x^2-10x+34 = -34+34

Simplify:

x^2-10x+34=0

Use the quadratic formula using both (+/- after the first -10):

x = \(\frac{-(-10)+\sqrt{(-10)^2 -4*1*34} }{2*1}\)

Simplify:

x = 5 + 3i  

x = 5 - 3i

It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.

The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.

Substituting P = 306 in the equation, we get:

306 = 14 + 4d/9

Multiplying both sides by 9, we get:

2754 = 126 + 4d

Subtracting 126 from both sides, we get:

2628 = 4d

Dividing both sides by 4, we get:

d = 657 feet

The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.

For such more questions on Measurements:

https://brainly.com/question/27122947

#SPJ11

Answer:

Is x = - 70

Step-by-step explanation:

If its wrong tell me

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

To learn more about exponential functions, please check: brainly.com/question/26331578

My ans is C

24 - 6x + 40 = 34

24+40 - 6x = 34

64 - 6x = 34

6x = 64-34

6x = 30

x = 5 ^^

Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.

According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.

Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.

Interest = Principal * Rate

= $13,250.00 * 0.10358

≈ $1,370.56

Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.

Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.

Calculating the interest with a credit score of 680:

Interest = Principal * Rate

= $13,250.00 * 0.09132

≈ $1,210.57

Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.

Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

For more question on interest visit:

https://brainly.com/question/25720319

#SPJ8

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

Last option

Step-by-step explanation:

\(-2(z + 3) - z = x - 4(z + 2)\)

\(x = -2(z + 3) - z + 4(z + 2)\)

\(x = -2z - 6 - z + 4z + 8\)

\(x = z + 2\)

Answer:

hello!!!

300 cupcakes

please read the explanation.. it always helps... trust me...

Step-by-step explanation:

alrighty here it goes...

okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....

okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.

we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.

so now we need to find out 92% of what number gets us 276.

the percentage formula (in this problem) should be as follows:

92/100 x (total amount of cupcakes) = 276

to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)

i hope this helps!!!

Answer:

300

Step-by-step explanation:

Answer:

D. 268.1 m³

Step-by-step explanation:

Volume =  4/3 * 3.14 * 4³

Volume = 4/3 * 201

Volume = 268 ≈ 268.1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Here we go. System of equations:

Step-by-step explanation:

y = 18x + 75

y = 22x + 40

2 equations with 2 unknown,,, x= 35/4, and you will find y= 232.5......then you will have system of linear equation will graph.

Answer: 24.45 miles apart

Step-by-step explanation:

because if its 1.5 inches apart so we already know 1 inch is 16.3 then half and inch is 8.15 so 16.3+8.15 is 24.45

Step-by-step explanation:

(3x-15)°= 105°

3x=120

x=40°

(y+25)°=180-105

(y+25)°=75°

y=75-25

y=50°

Answer:

x = 40°

y = 50°