Select all of the equations that are equivalent to 8k = 20. 8k – 4 = 20 + 4 8k ÷ 4 = 20 ÷ 4 8k × 3 = 20 × 3 8k + 10 = 20 + 10 8k × 5 = 20 ÷ 5

Answers : ACD

Answer:

The answer is 30+7i.

Step-by-step explanation:

Imaginary Number Definition

[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]

Simply evaluate like how you evaluate polynomials. Expand the expression in.

[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]

Therefore, our new expression when cancelling out the brackets is:

[tex]\large\boxed{24+16i-9i-6i^2}[/tex]

Imaginary Number Definition II

[tex]\large\boxed{i^2=-1}[/tex]

Therefore, substitute or change i² to -1

[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]

Complex Number Definition

[tex]\large\boxed{a+bi}[/tex]

Where a = Real Part and bi = Imaginary Part.

Therefore, it's the best to arrange in the form of a+bi.

Hence, the answer is 30+7i.

Answer: Population = Total students attend the school.

Parameter = Proportion of students named by president correctly.

Step-by-step explanation:

Population for a particular study is the largest possible group of individuals that are essential to be considered.

Parameter = measure of characteristic in a population.

By the above definition, we have

Population = Total students attend the school(1800).

Parameter = Proportion of students named by president correctly.

Answer:

A

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

Hello There!

The angle that has a measure of 82 degrees and the angle labeled "2" are supplementary angles.

This meaning that the sum of the two angles is 180

So to find the missing angle (2) we subtract the given angle (82 in this case) from 180

so ∠2 = 180 - 82

180 - 82 = 98

Hence, the answer is 98°

Answer

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Explanation

Given

[tex]a = 11500[/tex] -- initial

[tex]b = 3[/tex] ---- every 14 years

Required

The exponential equation

The exponential equation is:

[tex]y =ab^T[/tex]

First, calculate the yearly rate.

Triples every 14 years, implies that:

[tex]b = 3[/tex] -- the rate

[tex]T=\frac{t}{14}[/tex] ---- time

So:

[tex]y =ab^t[/tex]

[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]

Hence:

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Answer:

x = 14

Missing angles: 33° and 57°

Step-by-step explanation:

(2x + 5) + (3x + 15) = 90° (complementary angles)

Add like terms

5x + 20 = 90

5x = 90 - 20

5x = 70

x = 70/5

x = 14

✔️Plug in the value of x to find each missing angle:

2x + 5 = 2(14) + 5 = 33°

3x + 15 = 3(14) + 15 = 57°

Answer:

(i) (-3/2, 3/2) and (1/2, - 3/2)

6x + 4y = - 3

(ii) Points are col linear

Step-by-step explanation:

Let the coordinates of the point(lower) be (a, b) and that of upper be (x, y).

Using mid point formula,

Mid point of diagonal(using the given points) is:

= ( (-2+1)/2 , (-1+1)/2) = (-½ , 0)

Using (a, b) and (x, y) :

= ( (a+x)/2 , (b+y)/2 ) = (-1/2, 0)

Which means, a+x= -1 & b + y = 0

Therefore, x = - 1 - a & b = - y

Using distance formula, diagonal = √(-2-1)² + (-1-1)² = √13

Knowing the relation in diagonal and side, side = diagonal/√2 = √13/√2 = √(13/2)

Again using distance formula, diagonal = √13

=> √(x - a)² + (y - b)² = √13

=> (-1-a -a)² + (-b - b)² = 13

=> a² + b² + a = 3 ... (1) [solved directly]

Length of side = √(13/2)

=> √(a-(-2))² + (b-(-1))² = √(13/2)

=> a² + b² + 4a + 2b = 3/2 ...(2)

On solving (1) and (2):

a = 1/2 or -3/2, but a lies in 4th quadrant so a > 0, thus, a = 1/2

b = -3/2 or 3/2, but b lies in 4th quadrant so b < 0, b = -3/2

Therefore,

x = - 1 - a = -1 - 1/2 = -3/2

y = - b = - (-3/2) = 3/2

Vertices are (x, y) = (-3/2, 3/2) and (a, b) = (1/2, -3/2)

Equation is just a relation in y and x, for a relation:

Subtract (1) from (2):

3a + 2b = -3/2 => 6a + 4b = - 3

By merely replacing a, b by x, y

6x + 4y = -3 is the required equation

(ii):

Ar. of ∆ = ½ | 1(3 - 5) + 2(5 - 2) + 4(2 - 3) |

Ar. of ∆ = ½ | -2 + 6 - 4 | = 0

As the area of the ∆ is 0, the given points don't form ∆, they are col linear.

Answer:

rate of the current = 2 mph

Step-by-step explanation:

d = rt

Let c = rate of the current

Rate going downstream = c + 40

Time going downstream = 126/(40 + c)

Rate going up stream =  40 - c

Time going upstream = 114/(40 - c)

Since the times are equal, then

126/(40 + c) = 114/(40 - c)

126(40 - c) = 114(40 + c)

5040 - 126c = 4560 + 114c

   240c  =  480

          c = 2 mph

Answer:

1/2x

Step-by-step explanation:

Slope is

Rise over run  In a fraction the rise is the numerator and the run is the denominator

From getting one point to another

You rise 1 and run 2

Which is the equivalent of 1/2

Answer:

Step-by-step explanation:

(-1, -4) (1, -3)

(-3 + 4)/(1 + 1) = 1/2

Answer:

if 28 cm is the radius then:

area = 2461.76 cm²

if 28 cm is the diameter then:

area = 615.44 cm²

Step-by-step explanation:

area = πr² = (3.14)(28²) = 2461.76 cm²

Answer:

the unit cost of each lemon is $0.60

Step-by-step explanation:

divide 3.00 by 5 to get 0.6

Answer:

4z + 2q

Step-by-step explanation:

there is 4 "z" and 2 "q"

Answer:

4z+2q

Step-by-step explanation:

combine like terms

combine all the z’s and all the q’s

Answer:

3

Step-by-step explanation:

If I’m wrong sorry

But can I get brainlist

Answer:

x = 60

Step-by-step explanation:

33 + 87 + 60 = 180

:))

Answer:

x = 60

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

Domain =  [tex]-7\leq x\leq infinity[/tex]

Range = [tex]-1<y<infinity[/tex]

Domain refers to the set of x values of the graph, while range refers to the set of y values of the graph.

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that [tex]\pi = 0.89, n = 60[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564[/tex]

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Answer:

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that

90% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564

Step-by-step explanation:

Answer:

50% off

Step-by-step explanation:

15 is half of 30 so it would be 50%

Answer:

the correct answer is B

Step-by-step explanation:

got it right!!!!

Answer:

a) 12/13

b) 5/13

Step-by-step explanation:

sin k = 12/13

cos k = 5/13

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(\text{White})=\dfrac{6}{22}[/tex]

[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]

[tex]P(\text{green})=\dfrac{7}{22}[/tex]

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

[tex]P=P(\text{green})\times P(\text{green})[/tex]

[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]

[tex]P=\dfrac{49}{484}[/tex]

Therefore, the correct option is (a).

Answer:

so it would be 5+20

Step-by-step explanation:

Answer:

y=1x-b is thou answer

Answer:

um yeah i have that question but it isnt right?

Step-by-step explanation:

I dont know why it didnt work :(

Answer: 297.5

Step-by-step explanation:

Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5

Answer:

No Solution

Step-by-step explanation:

-8x - 2(7+2x) = -6(2x+5)

-12x - 14 = -12x - 30

-14 = -30, False

No Solution

Answer:

pretty sure its 9

[tex] \sqrt{9 = + 3} [/tex]

Are you given how many pages are in the binder?