Which of the following is equal to sin(0)?​

Answer:

L = 10, W = 6

Step-by-step explanation:

(x-2)(x+2) = 60

[tex]x^{2}[/tex] - [tex]2^{2}[/tex] = 60

[tex]x^{2}[/tex] = 60 + 4 = 64

x = [tex]\sqrt{64}[/tex] = 8 or -8

-8 rejected

thus length is 8 + 2 = 10, width is 8-2=6

The length is 10 units and width is 6 units.

Length = x+2

Width = x-2

Area = 60

Area = Length × Width

Therefore, (x+2)(x-2) = 60

x²-2x+2x - 4 = 60

Collect like terms

x² = 60+4.

x² = 64.

Therefore, in order to get the value of x, we'll find the square root of 64

x² = 64.

x = ✓64

x = 8

Length =  = x+2 = 8+2 = 10

Width = x-2 = 8-2 = 6

In conclusion, the length is 10 units and width is 6 units.

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Answer:

x = -3

Step-by-step explanation:

-2x + 7 = 13

-2x = 13 - 7

-2x = 6

x = 6/-2

x = -3

Answer:

  G. y-intercept

Step-by-step explanation:

Both of Marcus's functions are lines in slope-intercept form:

  y = mx +b

where b is the y-intercept.

In his first function, b=2; in his second, b=-2. The value of the y-intercept is what changed.

Answer:

A(1) = -7

A(4) = -48

A(8) = -769

Step-by-step explanation:

[tex]A(n) = -3.2 ^n - 1.....(1)\\\\Plug \: n= 1\: in \: (1)\\A(1) = -3.2 ^1 - 1 =-3.2-1= -6 -1 \\\huge\red{\boxed{A(1) = -7}}\\\\Plug \: n= 4\: in \: (1)\\A(4) = -3.2 ^4 - 1 =-3.16-1= -48 -1 \\\huge\purple{\boxed{A(4) = -49}}\\\\Plug \: n= 8\: in \: (1)\\A(8) = -3.2 ^8 - 1 =-3.256-1= -768 -1 \\\huge\orange{\boxed{A(8) = -769}}[/tex]

Answer:

Step-by-step explanation:

Answer:

164 m^2

Step-by-step explanation:

You can think of the shaded area in different ways. One of the ways is the entire outer colored rectangle minus the area of the small white rectangle inside.

The large colored rectangle is 12 m by 15 m.

The inner rectangle is 8 m tall. The width is 12 m - 5 m - 5 m = 2 m

A = 12 m * 15 m - 2 m * 8 m

A = 180 m^2 - 16 m^2

A = 164 m^2

Answer:

4,775.329156626506‬

Step-by-step explanation:

$285×15/100

= $42.75 and this is the discount

$285-42.75 = $242.25

Sally will buy the bicycle at $ 242.25

Answer:

1/3

Step-by-step explanation:

We have (x₁, y₁) = (-2.5, 0.5) and (x₂, y₂) = (2, 2). The formula for slope is

(y₂ - y₁) / (x₂ - x₁). When we plug these values in we get (2 - 0.5) / (2 - (-2.5)) =

1.5 / 4.5 = 1 / 3. Hope this helps!

9: What is the probability of beef tips being the preferred new menu item?

To find the probability of a customer preferring beef tips over the other menu items, divide the quantity of customers that preferred beef tips over the total number of customers that participated in the survey:

28 / (42 + 28 + 30) = 28/100 = 28%

There is a 28% chance that beef tips is the new preferred menu item.

11: Out of a similar group of 375 customers, predict how many more customers will prefer chicken carbonara to shrimp scampi.

There are 100 customers that participated in the pre-existing survey. A grand total of 375 participants in a similar survey would mean that each food's preference would grow in a similar fashion.

100 * 3.75 = 375

You can then multiply each response group by 3.75 to find how many people prefer chicken carbonara and shrimp scampi.

42 * 3.75 = 157.5

30 * 3.75 = 112.5

Then, subtract the quantities to find out how many more people prefer chicken to shrimp.

157.5 - 112.5 = 45 people.

13: Predict the number of times that Giorgianna's name will be drawn in 32 weeks. Round to the nearest whole number.

There are five people in the group, and one is chosen as the team leader every week. 1 divided by 5 is .2, so the probability of being chosen as team leader is 20%.

You can multiply 0.2 by 32 to represent how many times the experiment will be run. The product is 6.4 times, so Giorgianna's name will likely be drawn 6 times within 32 weeks.

Answer:

9.) 7/ 25. 11). 45. 13) 6

Step-by-step explanation:

Explanation shown below;

For 13;

The probability of chosen Georgianna is 1/5

The number of times the draw would be conducted would be 32

Hence Georgianna would be chosen [ 1/5. * 32 = 6. 4 = 6[to the nearest whole]

Answer:

Hope this is correct

Answer:

The line y = 1/4x −3 and the half-plane lying above it.

Step-by-step explanation:

I attached the work to your problem. Please see the attachment.

Answer:

[tex] t = \frac{504.9m}{49.5 m/h}= 10.2[/tex]

And the best option would be:

10.2 h

Step-by-step explanation:

We have the following formula for the distance:

[tex] d = rt[/tex]

And we want to find the value of t with r = 49.5 m/h and d = 504.9 m. If we solve from t we got:

[tex] t = \frac{d}{r}[/tex]

And replacing the info given we got:

[tex] t = \frac{504.9m}{49.5 m/h}= 10.2[/tex]

And the best option would be:

10.2 h

Answer:

[tex]\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ \dfrac{m}{h}\cdot t\\\\\text{solve for}\ t:\\\\49.5\ \dfrac{m}{h}\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ \dfrac{m}{h}\\\\t=504.9\ m:\left(49.5\ \dfrac{m}{h}\right)\\\\t=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}\\\\t=10.2\ h[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ \dfrac{m}{h}\cdot t\\\\\text{solve for}\ t:\\\\49.5\ \dfrac{m}{h}\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ \dfrac{m}{h}\\\\t=504.9\ m:\left(49.5\ \dfrac{m}{h}\right)\\\\t=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}\\\\t=10.2\ h[/tex]

Answer:

c(1)=-15

c(n)=c(n-1)+4

Step-by-step explanation:

Answer:

Since the perimeter of ΔPQR = 44, QR + PR = 44 - PQ, or 32 cm. This is proportional to the sum XY + WY, because the two triangles are similar so their corresponding sides are proportional. Their ratio is 24:32 or 3:4, which is the same as their perimeters, 3/4 = P/44, so P = 33 cm.

Step-by-step explanation:

The given parameters are;

ΔPQR ~ ΔWXY

Perimeter of ΔPQR = 44

PQ = 12

XY + WY = 24 based on position is proportional to QR + PR

However, the perimeter of ΔPQR = PQ + QR + PR = 44

Therefore, QR + PR = 44 - PQ = 44 - 12 = 32

Hence, XY + WY = 24 based on position is proportional to QR + PR = 32

If XY:QR = WY:PR we get  (XY + WY):(QR + PR) (common factors)

∴ (XY + WY):(QR + PR) = 24:32 = 3:4

By extension, (WX + XY + WY):(PQ + QR + PR) =  3:4

Where: WX + XY + WY = P and PQ + QR + PR = 44 we have;

P:44 = 3:4 or 3/4 = P/44

From which P = 44 × 3/4 = 33 cm.

Answer:

-24

Step-by-step explanation:

goes by -5

Answer:

-24

Step-by-step explanation:

We are subtracting 5 each time

1-5 = -4

-4-5 = -9

-9-5=-14

-14-5=-19

-19-5 =-24

The fifth term is -24

Answer:

V(x) = (f ∙ g)(x)

Step-by-step explanation:

Note. There is no table attached.

However it can solved with remaining information given.

The volume of a prism is

If we have a function for the volume V(x) it has to be equal to a product of functions for the area and the height

Therefore the function will be similar to:

So the correct option is the first one

Answer:

Do you think the rate of death due to pandemic will rise over the next month?

Considering the increase in death rate due to pandemic over the last 2 months, there will be an increase over the next 4 months?

Step-by-step explanation:

It is important to create a truly unbiased sample and survey questinos so that the results are authentic and can be generalized to represent a population.

Answer:

$ 140,104.96  

Step-by-step explanation:

The amount the bank will the individual is the present value of the total mortgage payment.

monthly mortgage payment=28%*$36,000/12=$840

the payment is meant for 30 years but 360 months i.e 12*30

the amount of loan is the present value of $840 monthly for 360 months with 0.5% interest rate per month

=pv(rate,nper,-pmt,fv)

rate is 0.5%

nper is 360 months

pmt is $840 per month

fv is the total payments which is unknown

=pv(0.5%,360,-840,0)=$140,104.96  

The loan amount is closest to $ 140,104.96  

Answer:

A. Inscribed Angle Theorem

Step-by-step explanation:

Because the angles are inscribed in the circle, the angle lie on arcs which mean that the angles have to add up to 360 degrees just like a circle is 360 degrees, making it a quadrilateral that is inscribed!

Hope this helps actually explain the answer,

                                                   Matthew Keister aka Mattsawesome 5000 YT

The missing information in the paragraph proof is  inscribed angle theorem that if an angle is inscribed in a circle, the measure of the inscribed angle is half the measure of the intercepted arc.

Inscribed angle in a circle is formed by two chords that have a common end point on the circle. This common end point is the vertex of the angle.

We have,

Quadrilateral [tex]A B C D[/tex] inscribed in Circle.

Measure of Arc [tex]B C D = a^0[/tex].

Arc [tex]B C D[/tex] and Arc [tex]B A D[/tex] form a circle, and a circle measures [tex]360^0[/tex],

Measure of Arc [tex]B A D = 360 - a^0[/tex]

Because of the theorem that if an angle is inscribed in a circle, the measure of the inscribed angle is half the measure of the intercepted arc.

Therefore,

[tex]\angle A = \frac{a}{2}^0[/tex]  and    

[tex]\angle C = (\frac{360-a}{2}) ^0[/tex]

The sum of the measures of angles [tex]A[/tex] and [tex]C[/tex] is,

[tex]\angle A + \angle C = \frac{a}{2}^0 +(\frac{360-a}{2}) ^0=180^0[/tex]

Therefore, angles  [tex]A[/tex] and [tex]C[/tex] are supplementary because their measures add up to [tex]180^0[/tex].

Angles [tex]B[/tex] and [tex]D[/tex] are supplementary because the sum of the measures of the angles in a quadrilateral is[tex]360^0[/tex].

[tex]\angle A + \angle C + \angle B + \angle D = 360^0[/tex]

and using substitution,

[tex]180^0 + \angle B + \angle D = 360^0[/tex]

So,

[tex]\angle B + \angle D = 180^0[/tex]

So, from the above provided proof we can say that the missing information in the proof was inscribed angle theorem.

Hence, we can say that the missing information in the paragraph proof is  inscribed angle theorem that if an angle is inscribed in a circle, the measure of the inscribed angle is half the measure of the intercepted arc.

To know more about inscribed angle click here

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Answer:

48

Step-by-step explanation:

6+6+6=24 (6*3)

24*2=48

Answer:

36

Step-by-step explanation:

6 + 6 + 6 = 18

18 x 2 =36

:3

Answer:

False

Step-by-step explanation:

there is more than one y-value for some x-values

Answer:

d

Step-by-step explanation:

Answer:

2(2+1)-[2-(-3)]

(2×3)-5

6-5=1

Answer:

d

Step-by-step explanation:

Answer:

p ≥ -14

Step-by-step explanation:

Subtract 4 from both sides:

p + 4 ≥ -10

   - 4     - 4

________

p ≥ -14

Answer:

-6x-10=20

Collect like terms

-6x=20+10

-6x=30

Divide both sides by -6

x=30/6

x=5

Hey there! I'm happy to help!

First, let's find the slope of the two lines. To find the slope, you divide the difference in the y-values by the difference in the x-values.

LINE M

7-12/3-6=-5/-3= 5/3

LINE N

1-6/-5+2=-5/-3=5/3

If lines have the same slopes, they are parallel because they are always moving at the same incline and therefore will never meet. This matches what answer A says.

Therefore, the correct answer is A) Lines m and n have the same slope so they are parallel.

I hope that this helps! Have a wonderful day!

Answer:

Actually, a loaf of bread costs 1.5. Barbara was wrong but only by 10 pence

Step-by-step explanation:

1 box of eggs = 1.2

3 boxes of eggs =3*1.2=3.6

1 jar of mayonnaise =1.8

2 loves of bread=2x

Total price of her purchases =10-1.6=8.4

Setting up the equation:

3.6+1.8+2x=8.4

Solving for x

2x=8.4-3.6-1.8

2x=3

x=3/2=1.5

Answer:

Estimations of π/4:

100 points: 0.75

1,000 points: 0.768

10,000 points: 0.7819

Step-by-step explanation:

To get an estimate of π/4 you can place random points in the square [0, 1] × [0, 1] and estimate it as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4).

We do it for 100 xy points and we get:

Point inside the circle area = 75

Estimation of π/4 = 0.75

[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{75}{100}=0.75[/tex]

We do it for 1,000 xy points and we get:

Point inside the circle area = 768

Estimation of π/4 = 0.768

[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{768}{1000}=0.768[/tex]

If we do it fo 10,000 xy points, we get

Point inside the circle area = 768

Estimation of π/4 = 0.768

[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{7819}{10000}=0.7819[/tex]

The value of π/4 (4 decimals) is 0.7854.

The simulation gets more precise with the increase in the number of points.

The spreadsheet and the graphs are attached.