In polar coordinates, the positive x-axis is called the __
axis.

Answer:

b = -2

Step-by-step explanation:

Start with your given:

-3b + 7 = 13

Subtract 7 on both sides:

-3b = 6

Then, divide -3 on both sides and solve:

b = -2

Answer:

b = -2

Step-by-step explanation:

You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.

Hope this helps.

Answer:

The first option. ∠2 and ∠4 are vertical angles.

Step-by-step explanation:

The fact that ∠2 is vertical with ∠4, proves the angles must be congruent. Vertical angles are always congruent, while adjacent angles are supplementary.

Answer:

C

Step-by-step explanation:

Angle 1 is supplementary to both 2 and 4. It's correct

Find the given attachments

Answer:

X is for the height

Step-by-step explanation:

Arcodding to the coordinate table , this chart has x and y. We measure the y first then we measure the x.

the y coordinate show the length and the y measure the height

I hope it'll help you much

Thank you for asking

Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.

Step-by-step explanation:

Answer:

r ≤ 2 1/4

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

1 2/3 ≥ r - 7/12

Step 2: Solve for r

Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.

Answer:

13.9534883721

Step-by-step explanation:

12/(0.9-0.04)=12/0.86=13.9534883721

Answer:

z = (3/√2) + (1/√2)î = (1/√2) [3 + i] = (2.1213 + 0.7071i)

OR

z = -(3/√2) + i(1/√2) = (1/√2) [-3 + i] = (-2.1213 + 0.7071i)

p = (3/√2) = 2.1213

q = (1/√2) = 0.7071

OR

p = (-3/√2) = -2.1213

q = (1/√2) = 0.7071

Step-by-step explanation:

z = √(4 + 3i)

Let the complex number z be equal to

z = p + qi

So, we can write

z = p + qi = √(4 + 3i)

p + qi = √(4 + 3i)

Square both sides

(p + qi)² = [√(4 + 3i)]²

p² + pqi + pqi + (qi)² = (4 + 3i)

p² + 2pqi + q²i² = 4 + 3i

note that i² = -1

p² + 2pqi - q² = 4 + 3i

(p² - q²) + 2pqi = 4 + 3i

Comparing both sides, and them equating the real parts on both sides to each other and the complex parts to each other

(p² - q²) = 4 (eqn 1)

2pq = 3 (eqn 2)

From eqn 2

p = (3/2q)

p² = (9/4q²)

Substituting this into eqn 1

(9/4q²) - q² = 4

multiplying through by 4q²

9 - 4q⁴ = 16q²

4q⁴ + 16q² - 9 = 0

let q² = x, q⁴ = x²

4x² + 16x - 9 = 0

Solving the quadratic equation

x = 0.5 or -4.5

q² = 4

q² = 0.5 or q² = -4.5

q = √0.5 or √-4.5

q = (1/√2) = (√2)/2 = 0.7071

Or q = i(3/√2) = i(3√2)/2 = 2.1213I

p = (3/2q)

If q = (1/√2) = (√2)/2 = 0.7071

p = (3/√2) = (3√2)/2 = 2.1213

if q = i(3/√2) = i(3√2)/2 = 2.1213I

p = i(1/√2) = i(√2)/2 = 0.7071i

z = p + qi

If q = (1/√2) = (√2)/2 = 0.7071

p = (3/√2) = (3√2)/2 = 2.1213

z = (3/√2) + (1/√2)î = (1/√2) [3 + i]

= 2.1213 + 0.7071i

if q = i(3/√2) = i(3√2)/2 = 2.1213I

p = i(1/√2) = i(√2)/2 = 0.7071i

z = i(1/√2) + [i(3/√2) × i]

z = i(1/√2) - (3/√2)

z = -(3/√2) + i(1/√2)

z = (1/√2) [-3 + i]

z = -2.1213 + 0.7071i

Hope this Helps!!!

Answer:

2.37783 or 23.7783

Step-by-step explanation:

Answer:

27.5 pages read per hour

Step-by-step explanation:

Answer:

(k + 7) • (k - 6)

Step-by-step explanation:

Final result :

 (k + 7) • (k - 6)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "k2"   was replaced by   "k^2".

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  k2+k-42

The first term is,  k2  its coefficient is  1 .

The middle term is,  +k  its coefficient is  1 .

The last term, "the constant", is  -42

Step-1 : Multiply the coefficient of the first term by the constant   1 • -42 = -42

Step-2 : Find two factors of  -42  whose sum equals the coefficient of the middle term, which is   1 .

     -42    +    1    =    -41

     -21    +    2    =    -19

     -14    +    3    =    -11

     -7    +    6    =    -1

     -6    +    7    =    1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  7

                    k2 - 6k + 7k - 42

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (k-6)

             Add up the last 2 terms, pulling out common factors :

                   7 • (k-6)

Step-5 : Add up the four terms of step 4 :

                   (k+7)  •  (k-6)

            Which is the desired factorization

Final result :

 (k + 7) • (k - 6)

Answer:

2^5

Step-by-step explanation:

2^5 = 32

3^3=27

1^10 =1

5^2 = 25

Answer:

2^5

Step-by-step explanation:

Look at the attachment

Answer:

a. The area of the garden is 11.68 [tex]m^{2}[/tex]

b. $192 and then $177

Step-by-step explanation:

a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37

then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle

so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]

b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)

16*$12=$192, then 5($33)+$12=$177

Answer:

236

Step-by-step explanation:

Answer:

Step-by-step explanation:

The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.

That makes "water" the dependent variable, and "rice" the independent variable.

  The amount of water is the dependent value.

  The amount of rice is the independent value.

Answer:

The amount of water is the dependent value.

The amount of rice is the independent value.

Step-by-step explanation:

Answer:

$13.50

Step-by-step explanation:

$54 divided by 4 is $13.50.

Answer:

  87,300,000,000,000,000

Step-by-step explanation:

The E16 is a way to write ×10¹⁶ that is used by some computers, spreadsheets, and calculators. As with any decimal number, the exponent of 10 tells you the number of decimal places between the place with that value and the decimal point.

  8.73E16 = 8.73×10¹⁶ = 87.3×10¹⁵ = 87.3 × 1,000,000,000,000,000

  = 87,300,000,000,000,000

_____

Some places, the "standard form" is 8.73×10¹⁶.

Answer:

X = 2

Step-by-step explanation:

6(x-4) + 3(x+7)= 3 ​

Open parentheses

6x-24+3x+21=3

Simplify

3x-3=3

Add 3 onto both sides

3x=6

And...

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

1/3 of 60 is 20

40 would be left

1/4 of 40 is 10 so 30 would be left

Answer:

its A

Step-by-step explanation:

ED 2020

Answer:

DH

Step-by-step explanation:

this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.

Answer:

Creating a diagram..

Step-by-step explanation:

Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)

a. 7 do not own anything.

b. the probability that someone owns a bone or a stick is 50%.

c. the probability that someone owns a rock and a bone is 14%.

d. the probability that someone owns at least 2 items is 42%.

e. the probability that someone owns only 1 of these items is 51%.

Please tell me if im wrong! im only a student .m.

Answer:

18x^2 + 9x - 5

Step-by-step explanation:

Combine like terms:

(9x^2-8) + (9x^2+9x+3)

= 9x^2 + 9x^2 + 9x - 8 + 3

= 18x^2 + 9x - 5

Answer:

Placebo controlled experiment.

Step-by-step explanation:

The placebo effect is when the effectiveness of a treatment is influenced by the patient’s perception of how effective they think the treatment will be, so a result might be seen even if the treatment is ineffectual. In order to reduce this effect, a dummy treatment (placebo) is given to a control group and the result is compared.

Answer:

(6.2, 8.8).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5 hours

Standard deviation = 1.3 hours

About 68% ...

By the Empirical Rule, within 1 standard deviation of the mean.

7.5 - 1.3 = 6.2

7.5 + 1.3 = 8.8

So in the format requested

(6.2, 8.8).

Answer:

B

Step-by-step explanation:

Took quiz GL

Answer:

the answer is not B

Step-by-step explanation:

the answer is A I actually took the quiz

Answer:

P(even or odd prime) = 0.85

There is 85% probability of rolling an even number or odd prime number.

Step-by-step explanation:

We are given a twenty-sided die which means it has faces from 1 to 20, so that means the total number of outcomes are 20.

We are asked to find the probability of rolling an even number or odd prime number.

We know that probability is given by

P = Number of desired outcomes/Total number of outcomes

Let us first count the number of desired outcomes.

In the range of 1 to 20 we have following even numbers,

2, 4, 6, 8, 10, 12, 14, 16, 18, 20    (10 outcomes)

P(even) = 10/20

P(even) = 0.50

In the range of 1 to 20 we have following odd prime numbers,

3, 5, 7, 11, 13, 17, 19    (7 outcomes)

P(odd prime) = 7/20

P(odd prime) = 0.35

So the required probability is

P(even or odd prime) = 10/20 + 7/20

P(even or odd prime) = 0.50 + 0.35

P(even or odd prime) = 0.85

Therefore, there is 85% probability of rolling an even number or odd prime number.

Note: Since we are asked to find the probability of rolling an even number or odd prime number, that's why we have added the probabilities of these two events.

OR corresponds to addition of probabilities

AND corresponds to multiplication of probabilities

Answer:

The 4 t h term is   f(4)   = 143

Step-by-step explanation:

Explanation:-

Given  function f(1) = -4

Given 'nth' term is  f(n) = -3f(n-1) +5

Put n =2         f(2) = -3 f(2-1) +5

                             = -3 f(1) +5

                             = -3 (-4) +5

                             = 12 +5

                       f(2) = 17

put n= 3      

                         f(n) = -3f(n-1) +5  

                        f(3) = -3 f(3-1) +5

                            = -3f(2) +5

                           = -3(17) +5

                           = -51+5

                      f(3) = -46

Put n=4

                  f(n) = -3f(n-1) +5

                 f(4)  = -3f(4-1) +5

                 f(4)  = -3f(3)+5

                f(4)   = -3(-46)+5

                f(4)   = 138 +5

                f(4)   = 143

Final answer:-

The 4 t h term is   f(4)   = 143