what is tan 30*? picture below

Answer:

B

Step-by-step explanation:

Adding the 7 to the input (x) will increase the output (y) by 7. Therefore, the graph is translated 7 units up.

Answer:

The answer is B

Step-by-step explanation:

well the equation of a line is : y = mx + b

in this question the equation is y = x

so the line y = x +7  will be 7 units up than y = x

Answer:

The predicted sales for the new set of advertising budgets is 14.

Step-by-step explanation:

The linear regression model is:

[tex]\text{Sales}=2.9389+0.0458\cdot(\text{TV})+0.1885\cdot(\text{Radio})-0.0010\cdot(\text{Newspaper})[/tex]

Compute the value of sales for:

TV = 200,

Radio = 10,

Newspaper = 20

[tex]\text{Sales}=2.9389+0.0458\cdot(\text{TV})+0.1885\cdot(\text{Radio})-0.0010\cdot(\text{Newspaper})[/tex]

        [tex]=2.9389+0.0458\cdot(200)+0.1885\cdot(10)-0.0010\cdot(20)\\=2.9389+9.16+1.885-0.0002\\=13.9837\\\approx 14[/tex]

Thus, the predicted sales for the new set of advertising budgets is 14.

Answer:

a =5/9 b=1/3 c=1/9 d=8/9

Step-by-step explanation:

there are total 9 numbers

in a

there are 5 odd numbers

in b

there are 3 multiplier of 3

in c

there is only one 5

in d

there are 8 numbers except 7

a) 5/9 b) 1/3 c) 1/9 d) 8/9

Step-by-step explanation:

a) odd numbers between 1 to 9 are 1,3,5,7,9. so there are 5 odd numbers.

total balls are 9

=> probability is 5/9

b) multiples of 3 = 3, 6,9 there are 3 numbers.

=> probability is = 3/9 = 1/3

c) 5. only one 5 is there between 1 to 9 numbers.

=> probability is 1/9

d) not a 7.

removing 7. there will 8 numbers.

=> probability is 8/9

Answer:

18 degrees

Step-by-step explanation:

The triangle is an iscoceles right triangle.

The angles in a triangle add up to 180.

90+2y (iscoceles) =180

2y=90

y=45

So the angles of the right triangle are 45. However, you have to take away 27 because you are solving for only a part of 45. 45-27=18

Answer:

Federal income taxes, health insurance premium, state income tax

Step-by-step explanation:

Commission may be a bonus from a sale you made and overtime hours are extra hours over 40.00 that you worked during the week

2  things are certain in life death and taxes

Answer:

[tex]V(n) = 575000(0.7)^{n}[/tex]

Step-by-step explanation:

The value of the machine after n years is given by an exponential function in the following format:

[tex]V(n) = V(0)(1-r)^{n}[/tex]

In which V(0) is the initial value and r is the yearly rate of depreciation, as a decimal.

A company buys a machine for $575,000 that depreciates at a rate of 30% per year.

This means, respectively, that: [tex]V(0) = 575000, r = 0.3[/tex]. So

[tex]V(n) = V(0)(1-r)^{n}[/tex]

[tex]V(n) = 575000(1-0.3)^{n}[/tex]

[tex]V(n) = 575000(0.7)^{n}[/tex]

Answer:  (a) [tex]\bold{A=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}}[/tex]

               (b) A = $1680.67

               (c) t = 9.99 years

               (d) A = $1689.85

Step-by-step explanation:

[tex]A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}[/tex]   where

a) Given: P = 900, r = 7% = 0.07, n = quarterly = 4

[tex]\bold{A=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}}[/tex]

b) Given: P = 900, r = 7% = 0.07, n = quarterly = 4, t = 9

[tex]A=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4(9)}\\\\\\A = 900\bigg(1+\dfrac{0.07}{4}\bigg)^{36}[/tex]

A = 1680.67

c) Given: A = 1800, P = 900, r = 7% = 0.07, n = quarterly = 4

[tex]1800=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}\\\\\\2=\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}\\\\\\ln\ 2=ln\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}\\\\\\ln\ 2 = 4t\ ln\bigg(1+\dfrac{0.07}{4}\bigg)\\\\\\\dfrac{ln\ 2}{4\ ln\bigg(1+\dfrac{0.07}{4}\bigg)}=t\\\\\\\bold{t=9.99}[/tex]

d) [tex]A=Pe^{rt}[/tex]

Given: P = 900, r = 7% = 0.07, t = 9

[tex]A=900e^{0.07(9)}\\\\\\A=900e^{.63}\\\\\\\bold{A=1689.85}[/tex]

Answer:

15.48 ft^2

Step-by-step explanation:

According to the image we have the following information:

the length of the rectangle = diameter of the semicircle, therefore it is 12 feet

, the radius of the semicircle (half the diameter) = width of the rectangle = 12/2 ft = 6 ft

We also know that the area of the shaded region would be equal to the area of the rectangle minus the area of the semicircle.

Therefore, we replace:

Area of the rectangle = width * length

Ar = 6 ft * 12 ft = 72 ft ^ 2

Area of the semicircle = [1/2] * π * (r ^ 2)

As = [1/2] * 3.14 * (6 feet) ^ 2 = 56.52 ft ^ 2

We replace in the area of the shaded region

shaded region area = 72 ft ^ 2 - 56.52 ft ^ 2 =

Shaded region area = 15.48 ft ^ 2

Answer:

y=4x-8

Step-by-step explanation:

First you must use the distributive property and get y-8=4x-16.

Then you have to add 8 on both sides so just y is left on the left side.

This will get you y=4x-8 in slope-intercept form.

Answer:

53 in.

Step-by-step explanation:

to find the area u do 8 times 6 and 1/2 2(5)

triangle = 1/2bh

rectangle = bh

hope this helps

Answer:

He should accept contract 2 because it has a higher present value.

Step-by-step explanation:

we need to find the present value of each contract:

Contract 1 = $3,000,000/1.1 + $3,000,000/1.1² + $3,000,000/1.1³ + $3,000,000/1.1⁴  = $2,727,273 + $2,479,339 + $2,253,944 + $2,049,040 = $9,509,596

Contract 2 $2,000,000/1.1 + $3,000,000/1.1² $4,000,000/1.1³ + $5,000,000 /1.1⁴  = $1,818,182 + $2,479,339 + $3,005,259 + $3,415,067 = $10,717,847

Contract 3 $7,000,000/1.1 + $1,000,000/1.1² + $1,000,000/1.1³ + $1,000,000/1.1⁴  = $6,363,636 + $826,446 + $751,315 + $683,013 = $8,624,410

Answer:

1). SUBTRACTION property of equality

2). MULTIPLICATION property of equality

Step-by-step explanation:

Step 2:

When we subtract the same number from both the sides of an equation it represents the subtraction property of equality.

[tex]\frac{x}{4}+5-(5)=23-(5)[/tex]

Here 5 has been subtracted from both the sides.

Therefore, SUBTRACTION property of equality was applied.

Step 4:

If the same number is multiplied to both the sides of an equation, multiplication property of equality is applied.

[tex]4\times \frac{x}{4}=4\times (18)[/tex]

Here 4 has been multiplied to both the sides.

Therefore, MULTIPLICATION property of equality was applied.

Answer:

ur pito is to small

Step-by-step explanation:

it to little

Answer:  P(10,15,0.7)=3003*0.7^10*0.3^5=approx  0.2061

Step-by-step explanation:

The required probability P(10,15,0.7)= C15 10 *p^10*q^(15-10) where

C15 10=  15 !/10!/5!= 11*12*13*14*15/(2*3*4*5)=11*12*13*14/(2*4)=11*3*13*7=

=77*39=3003

p=0.7    q=1-p =1-0.7= 0.3 (probability of not having vcrs)

So P(10,15,0.7)=3003*0.7^10*0.3^5=approx  0.2061

We multiply the numerators together to get x*2x = 2x^2 as the numerator for the answer.

The denominators pair up and multiply to get (x-5)(x+4) = x^2+4x-5x-20 = x^2-x-20. You can use the distributive property, FOIL, or the box method to expand out (x-5)(x+4)

So that's how we end up with (2x^2) all over (x^2-x-20) as the answer.

Answer:

Make a point at (3pm, 45), (4.5 pm, 45), (5.5pm, 30), (6.5pm, 15), and (7.5pm, 0). Then connect the dots starting at (0,0) Then you have your graph :)

Step-by-step explanation:

DE is secant on the circle below.

A secant line is a straight line that twice intersects a circle.

We have a diagram of circle.

As, Either a secant or a tangent will arise from the circle's junction.

A secant is a line that intersects a circle twice. The relationship between the circle and the line that intersects it is explained by this idea.

Again from the figure CA and CE intersect circle at B and D.

It can also represented that the AB and DE intersects at a point C.

So, the secant line that intersects the circle twice.

Learn more about Secant here:

https://brainly.com/question/14348796

#SPJ7

Answer:

B

Step-by-step explanation:

Trapezoids have only one pair of parallel lines.        

Answer: £20.

Step-by-step explanation:

Let the old price = £x

Percent increase. = 10%

Increment. = 10% of £x

= 10x/100

Now new price = £22

To determine the old price we have

x + 10x/100. = 22

We now multiply everything by 100 to make it a linear expression

100x + 10x = 2200

110x = 2200, therefore

x. = 2200/110

= £20

Therefore, the price before the increase. = £20.

Answer: 342.32

Step-by-step explanation: sin(25) = h/a

Sin(25)= h/27

27*sin(25) = h

b*h = area

Answer:

24 cubic feet.

Step-by-step explanation:

What we need to do here, is to find the volume of the aquarium.

The Aquarium is a rectangular prism.

The volume of a rectangular prism is length*width*height (we just multiply the dimensions together)

2*4*3=8*3=24

The volume of the aquarium is 24 cubic feet, and therefore 24 cubic feet of water is required to fill the tank.

Answer:

Hello! :) The answer will be under “Explanation”

Step-by-step explanation:

The answer will be 24 cubic feet.

Work:

LxWxH

(Length,Width,Hight)

So you the question is asking about volume, we need to do the formula (length,width, and hight)

Now we have to multiply

2x4=8

8x3=24

So the answer will be 24 cubic feet.

Hope this helps! :)

Answer:

84%

Step-by-step explanation:

The probability that the selected player is a football player, P(F)=19%

The probability that the selected player is a basketball player, P(B)=79%

The probability that the selected player play both football and basketball,

[tex]P(B \cap F)=14\%[/tex]

We want to determine the probability that a randomly chosen athlete is either a football player or a basketball player, [tex]P(B \cup F)[/tex]

In probability theory

[tex]P(B \cup F)=P(B)+P(F)-P(B \cap F)\\=79\%+19\%-14\%\\=84\%[/tex]

The probability that a randomly chosen athlete is either a football player or a basketball player is 84%.

Answer:

945 ways

Step-by-step explanation:

Total

Required Selection

2  Appetizers out of 7 can be selected in [tex]^7C_2[/tex] ways

8 main courses out of 9 can be selected in [tex]^9C_8[/tex] ways

4 desserts out of 5 can be selected in [tex]^5C_4[/tex] ways

Therefore, the number of ways this can be done

[tex]=^7C_2 \times ^9C_8 \times ^5C_4[/tex]

=945 ways

Answer:

x = 22

Step-by-step explanation:

Since the the 2 bisectors are equal, that means the chords are also equal. Since bisector splits into 2 equal parts, 11 + 11 equals 22

Answer:

1) Option B is correct.

Expected frequency of satisfied customers from the Berwick sample = 75

2) Option D is correct.

Expected frequency of satisfied customers from the Milton sample = 90

3) Option A is correct.

Expected frequency of satisfied customers from the Leesburg sample = 60

4) Option B is correct.

The chi-square test statistic for these samples = 2.44

5) Option B is correct.

The degrees of freedom for the chi-square critical value = 2

6) Option C is correct.

The chi-square critical value using alpha = 0.05 is 5.991

7) Option D is correct.

The conclusion for this chi-square test would be that because the test statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is no difference in proportion of satisfied customers between these three locations.

Step-by-step explanation:

Berwick Milton Leesburg

Number Satisfied 80 85 60

Unsatisfied 20 35 20

Sample Size 100 120 80

Since this is a chi test that aims to check if there are differences in the proportion of expected number of customers for each location, we state the null and alternative hypothesis first.

The null hypothesis usually counters the claim we hope to test and would be that there is no difference between the proportion of expected frequency of satisfied customers at the three locations.

The alternative hypothesis confirms the claim we want to test and is that there is a significant difference between the proportion of expected frequency of satisfied customers at the three locations.

So, the total proportion of satisfied customers is used to calculate the expected number of satisfied customers for each of the three locations.

80+85+60= 225

Total number of customers = 100 + 120 + 80 = 300

Proportion of satisfied customers = (225/300) = 0.75

1) Expected frequency of satisfied customers from the Berwick sample = np = 100 × 0.75 = 75

2) Expected frequency of satisfied customers from the Milton sample = np = 120 × 0.75 = 90

3) Expected frequency of satisfied customers from the Leesburg sample = np = 80 × 0.75 = 60

4) Berwick Milton Leesburg

Number Satisfied 80 85 60

Unsatisfied 20 35 20

Sample Size 100 120 80

Proportion for unsatisfied ccustomers = 0.25

So, expected number of unsatisfied customers for the three branches are 25, 30 and 20 respectively.

Chi square test statistic is a sum of the square of deviations from the each expected value divided by the expected value.

χ² = [(X₁ - ε₁)²/ε₁] + [(X₂ - ε₂)²/ε₂] + [(X₃ - ε₃)²/ε₃] + [(X₄ - ε₄)²/ε₄] + [(X₅ - ε₅)²/ε₅] + [(X₆ - ε₆)²/ε₆]

X₁ = 80, ε₁ = 75

X₂ = 85, ε₂ = 90

X₃ = 60, ε₃ = 60

X₄ = 20, ε₄ = 25

X₅ = 35, ε₅ = 30

X₆ = 20, ε₆ = 20

χ² = [(80 - 75)²/75] + [(85 - 90)²/90] + [(60 - 60)²/60] + [(20 - 25)²/25] + [(35 - 30)²/30] + [(20 - 20)²/20]

χ² = 0.3333 + 0.2778 + 0 + 1 + 0.8333 + 0 = 2.4444 = 2.44

5) The degree of freedom for a chi-square test is

(number of rows - 1) × (number of columns - 1)

= (2 - 1) × (3 - 1) = 1 × 2 = 2

6) Using the Chi-square critical value calculator for a degree of freedom of 2 and a significance level of 0.05, the chi-square critical value is 5.991.

7) Interpretation of results.

If the Chi-square test statistic is less than the critical value, we fail to reject the null hypothesis.

If the Chi-square test statistic is unusually large and is greater than the critical value, we reject the null hypothesis.

For this question,

Chi-square test statistic = 2.44

Critical value = 5.991

2.44 < 5.991

test statistic < critical value

The test statistic is Less than the critical value, we fail to reject the null hypothesis and conclude that there is no difference in proportion of satisfied customers between these three locations.

Hope this Helps!!!

Answer:

$36,241.20

Step-by-step explanation:

Compounded Interest Rate Formula: A = P(1 + r/n)^nt

Since we are given P, r, n, and t, simply plug it into the formula:

A = 35000(1 + 0.035/4)⁴⁽¹⁾

A = 35000(1 + 0.00875)⁴

A = 35000(1.00875)⁴

A = 35000(1.03546)

A = 36241.2

Answer:

20

Step-by-step explanation:

The linear function represents the number of units sold y in terms of profit x is y = 27.5x - 1015.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given pair of (number of units sold y, profit x)

Linear equation slope and y-intercept

A linear equation or function is given as ;

y = mx + c

Here, c is the y-intercept and m is the slope.

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope m  = (y₂ - y₁)/(x₂ - x₁)

Therefore slope of (46,250), (48, 305)

m = (305 - 250)/(48 - 46) = 27.5

Put, m = 27.5 and (46,250)

250 = 27.5(46) + c

c = -1015

y = 27.5x - 1015

Hence "The linear function represents the number of units sold y in terms of profit x is y = 27.5x - 1015".

For more about the linear function,

brainly.com/question/21107621

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Answer:

Volume of cylinder = π/4 (the volume of the prism) or π/4 (4r²)(h) or πr²h (D)

The complete question related to this found on brainly (ID: 4049983 and 4265826) is stated below:

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or πr^2 or π/4. Since the area of the circle is π/4 the area of the square, the volume of the cylinder equals

A) π/2(the volume of the prism) or π/2 (2r)(h) or πrh.

B) π/2 (the volume of the prism) or π/2 (4r2)(h) or 2πrh.

C) π/4(the volume of the prism) or π/4 (2r)(h) or π/4(r2h).

D) π/4(the volume of the prism) or π/4 (4r2)(h) or πr2h.

See attachment for diagram

Step-by-step explanation:

Area of the cross section in the cylinder

Area of circle = πr²

Area of the cross section in the square prism

Area of square = (side length)²

Here the side length = diameter

Diameter = 2×radius = 2r

Area of square = (2r)² = 4r²

Ratio of area of circle to area of square = πr²/4r² = π/4

Area of circle/area of square = π/4

Area of circle = π/4 × area of square

Area of circle = π/4 × 4r²

Volume of cylinder = area of circle × height

Volume = πr² ×h = πr²h

Volume of square prism = area of square × height = (2r)²h = 4r²h

Ratio of volume of cylinder to volume of square prism = πr²h/4r²h = π/4

Volume of cylinder/volume of square prism = π/4

Volume of cylinder = π/4 × volume of square prism = π/4 × 4r²h

= πr²h

Therefore Volume of cylinder = π/4 (the volume of the prism) or π/4 (4r²)(h) or πr²h (D)

Answer:

the square root is 6.48

Answer:

≈6.48

Step-by-step explanation:

[tex]\sqrt{42}=\\6.4807407...[/tex]

If you multiply it by itself, it will equal 42. (Or you can just use a calculator)