Debby pays rent twice a year, buys groceries once every quarter, and buys a transit pass
every month. How should her yearly expenses be represented?

1. O2 + 4y + 122
2. O 2x + 4y + 12z
3. OI +y + 122
4. O 2x + 3y + 12z​

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = [tex]\pi r^2[/tex]

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

Answer:

sure

Step-by-step explanation:    

I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph

Answer:

29

Step-by-step explanation:

To find the lower quartile you need to split it into 2 by finding the median

Set A: 73, 75, 79, 81, 84, 85

Set B: 47, 49, 51, 51, 55, 56

Now you have to find the median of each

A: 80

B: 51

Lastly, you subtract and get 29

Answer:

22ft^2

Step-by-step explanation:

I am not sure if this is the correct answer since there were no numbers to the question you wrote out.

Answer:

A. 5

Step-by-step explanation:

6d+15<50

subtract 15 from both sides

6d<50-15

6d<35

divide both sides by 6

d<35/6

d<5 5/6

So he can only rent it for 5 days.  If he rented for 6, it would be $51, which is too much.

Solving the given inequality for d, we get...

6d + 15 < 50

6d + 15-15 < 50-15 <<-- subtract 15 from both sides

6d < 35

6d/6 < 35/6 <<--- divide both sides by 6

d < 5.83

Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}

The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all

The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days

Any larger value of d is not allowed as it would make the total cost go over $50

Notice how I'm rounding down regardless how close 5.83 is to 6

Answer: 5.34

Step-by-step explanation: 18 - 12.66 = 5.34

Answer:

A, D and E

Step-by-step explanation:

Option B is an inequality while Option C is an Equation. However, Rest of the options are expressions because they don't have any equality (=) sign or any inequality (<,>,≥,≤). So, they are expressions.

Answer:

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

[tex](x,y) = (-4,2)[/tex]

Testing Option A

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

Open Brackets

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

Open Brackets

[tex]-24 + 22 = 2[/tex]

[tex]2 = 2[/tex]

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.

Answer:

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the investment = $ 8,000  

Interest rate of the first account= 6% simple  

Interest rate of the second account= 12% simple  

Interest of the accounts in a year = $ 600  

2. How much did he invest in each account?

For answering the question, we will use the following equation:  

x = Amount invested in the first account  

8,000 - x = Amount invested in the second account  

0.06x + 0.12 * (8,000 - x) = 600

0.06x + 960 - 0.12x = 600

-0.06x = 600 - 960 (Subtracting 960 at both sides)

-0.06x = -360

x = -360/-0.06

x = 6,000 ⇒ 8,000 - x = 2,000  

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Answer:

Add the two equations: 5y=5 so y=1, therefore x=3-2y=1.

What did you mean by Dx? If it's the determinant for x then it's:

| 3 2 |

| 2 3 | = 9-4=5

Dy is:

| 1 3 |

| -1 2 | = 2-(-3)=5

And D is:

| 1 2 |

| -1 3 | = 3-(-2)=5

x=Dx/D=5/5=1 and y=Dy/D=5/5=1

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments  = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]

[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105

[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016

[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062

[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432

Answer:

Step-by-step explpointsanation:

I'm assuming you meant to say P(A) = 3/5 and P(B|A) = 8/9.

If so, then we multiply the probabilities to get P(A and B)

P(A and B) = P(A)*P(B|A)

P(A and B) = (3/5)*(8/9)

P(A and B) = (3*8)/(5*9)

P(A and B) = 8/(5*3)

P(A and B) = 8/15

Answer:

144 units

Step-by-step explanation:

3x + 8 + 4x + 10 = 8x

7x + 18 = 8x

8x - 7x = 18

x = 18

8x is length of BC

8 × 18 is length of BC

144 units

Answer:

What is the length of segment BC?

144 units

explanation:

<3

Answer:

[tex]\sum_{n=4}^{18}(n+1)^2=2440[/tex]

Step-by-step explanation:

Series: [tex]\sum_{n=4}^{18} (n+1)^2[/tex]

Formula :[tex]\sum_{k=m}^n=\sum_{k=1}^n-\sum_{k=1}^{m-1}[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=\sum_{n=1}^{18}(n+1)^2-\sum_{n=1}^{3}(n+1)^2[/tex]

[tex]\sum_{n=1}^{18}(n+1)^2=2469[/tex]

[tex]\sum_{n=1}^{3}(n+1)^2=29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2469-29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2440[/tex]

So, Option C is true

Answer:

2560

Step-by-step explanation:

Answer:

2,560

Step-by-step explanation:

To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.

8 x 8 x 8 x 5 = 2560

Hope this helps!! ;)

Answer:

67,108,864 or 4^13

Step-by-step explanation:

4^6*4^7=4^13 you basically just add the exponents since the base is the same.

Since these two powers have the same base of 4, you can multiply

them together by simply adding their exponents to get 4¹³.

This idea is called the product rule.

A common mistake in this problem would be to multiply

the bases together and give an answer of 16¹³.

It's important to understand however that the 4's in this problem can't

be multiplied together because they're not coefficients, they're bases.

When applying your exponent rules, your base will never change.

Answer:

C

Step-by-step explanation:

On edg 2020

Answer:

$810 total raised

Step-by-step explanation:

Charley:

12 * $18 = $216

Maria:

15 * $18 = $270

Paul:

18 * $18 = $324

Total:

$324 + $270 + $216 = $810

Answer:

pls appreciate my efforts by markinf my answer as the brainliest......

Step-by-step explanation:

Charley raised = 12 *18 =$216

Maria raised =15*18 = $270

Paul raised = 18*18 = $ 324

total amount raised = $ 810

Answer:

(4,-1)

Step-by-step explanation:

The required coordinate of J is (1, 4). Hence the option c is correct.

Rectangle JKLM is rotated 90° clockwise about the origin.
On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1).

Rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.

While rotating the rectangle about origin clock wise, the new coordinates forms of  rectangle J K L M has points  ( 4, 1), (1, 1), (negative 1,  1), (negative1 ,  4).

Thus, the required coordinate of J is (1, 4).

Learn more about rectangles here:
https://brainly.com/question/16021628

#SPJ2

Answer:

length: 5 yd

width: 4 yd

area: 20 yd^2

Step-by-step explanation:

1 yd = 3 ft

15 ft * (1 yd)/(3 ft) = 5 yd

12 ft * (1 yd)/(3 ft) = 4 yd

A = LW

A = 5 yd * 4 yd = 20 yd^2

Answer:

20 yd²

Step-by-step explanation:

1 yd = 3 ft =>

=>w = 12ft×yd/3ft = 4 yd

=> l = 15ft×yd/3ft = 5 yd

A = l × w

= 5yd × 4yd

= 20 yd²

Answer:

Option B.

Step-by-step explanation:

Note: The function f(x) is not in correct format it must be [tex]f(x)=3^x[/tex].

It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).

Let as consider the two functions,

[tex]f(x)=3^x[/tex]

[tex]g(x)=5x+12[/tex]

Now, table of values is

Month(x)        [tex]f(x)=3^x[/tex]           [tex]g(x)=5x+12[/tex]

    1                      3                          17

    2                     9                         22

    3                     27                        27

    4                     81                        32

From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).

In month 3, heights are equal.

In month 4, height of the f(x) plant exceed that of the g(x) plant.

Therefore, the correct option is B.

Answer:

Expected win = $15.17 to the nearest cent.

Step-by-step explanation:

Expected win = (1/6)*(1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2) = 15.167  or $15.17 to the nearest cent.

The positive expected value means that Monica wins 1.17 dollars on average for each roll.

==================================================

Explanation:

The sample space is {1,2,3,4,5,6} to represent the outcomes of the die.

Of that list, {2,3,5} are prime numbers. Note that 1 is not a prime number. It's not composite either. So Monica will lose money when she rolls a 1. If she rolls {4,6} then she wins 0 dollars.

For any single roll, the probability of landing on that value is 1/6

Multiply 1/6 by each winning amount. Then add up the products

(1/6)*(-3) + (1/6)*(2) + (1/6)*(3) + (1/6)*(0) + (1/6)*(5) + (1/6)*(0)

-3/6 + 2/6 + 3/6 + 5/6

(-3+2+3+5)/6

7/6

1.17 approximately

Monica will get about 1.17 dollars per roll on average. She only loses money on average if the expected value was negative.

Answer:

A = 27π

P =

Step-by-step explanation:

Well if it follows the same proportions as a square then the dotted line is 6 cm.

                                                      Triangle                                                                

So the area of a triangle is b*h / 2

b = 6

h = 6

6*6 = 36

36 / 2 = 18

A = 18cm^2

So to find the missing side or c we do 6^2 + 6^2 = c^2,

36 + 36 = c^2

72 = c^2

≅8

6 + 6 + 8

= 20cm

                                                       Half circle                                                                  

Now the area of a semicircle is,

pi r^2 / 2

So if the diameter is 6 then the radius is 3.

So we do 3*3 = 9

9 * pi = 9π^2

Perimeter: 6π

____________________________________________________________

Thus,

the area is 27π and the perimeter 26π.

Hope this helps :)

Answer:

Step-by-step explanation:

Mary received 726 votes.

Answer: it's not working on my laptop but it seems to be working on the phone right now

Answer:

can somebody help asap !!!

Step-by-step explanation:

=================================================

Work Shown:

Use the geometric mean formula to find that BD = 6

BD = geometric mean of AD and DC

BD = sqrt(AD*DC)

BD = sqrt(12*3)

BD = 6

Then use the pythagorean theorem to find the missing side for triangle BCD

a^2+b^2 = c^2

(CD)^2 + (BD)^2 = (BC)^2

3^2 + 6^2 = m^2

m^2 = 45

m = sqrt(45)

m = 6.70820393249937 approximately

m = 6.7 after rounding to one decimal place

Answer:16 students liked ready salted

Step-by-step explanation:

35 students = boys

65 students = girls

Boys:

12/35 like cheese and onion

16/35 like salt and vinegar

7/35 like ready salted

Girls:                  

9/65 like ready salted

25/65 like salt and vinegar

31/65 like cheese and onion

Answer:

l = 2cosΘ p = see attachment

Step-by-step explanation:

√2+√2+2cos 4Θ

√2+√2(1 + cos 4Θ)

√2 + √2(2 cos² 2Θ)

√2 + √4 cos² 2Θ                      cos 2Θ = 2 cos²Θ - 1

√2 + 2cos 2Θ

√2(1 + cos 2Θ)

√4cos²Θ

2cosΘ

Answer:

Step-by-step explanation:

I'm only going to do the first one, because the tangent problem is going to give us both night mares.

Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).

cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1

2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2

2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4

(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2

sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2

=====================================

sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS