X-3 5X-3X-12-4x + 18X-7

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

4 units to the left

Step-by-step explanation:

I took the test!

Answer:

The volume of the sphere is 32 π /3 cm^3

Step-by-step explanation:

Mathematically, the volume of a sphere can be calculated using the formula below;

V = 4/3 * pi * r^3

Now since we have the radius and diameter = 2 * radius

radius = diameter/2 = 4/2 = 2

Substituting this value into the volume equation;

V = 4/3 * pi * 2^3 = 32pi/3

Answer:

The correct answer is A

Step-by-step explanation:

To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.

Answer: there are 2 whole in 7/3

Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3

The expression d - 1.1 can be evaluated for d = 11.8, resulting in the value 10.7. This means that when 1.1 is subtracted from 11.8, the result is 10.7.

To evaluate the expression d - 1.1 for the given value of d = 11.8, we substitute the value of d into the expression. Thus, we have 11.8 - 1.1. Subtracting 1.1 from 11.8 gives us 10.7. In this case, d represents a variable that is assigned the value 11.8. When we subtract 1.1 from this value, we obtain the result 10.7. This means that if we were to substitute d = 11.8 into the expression d - 1.1, the value of the expression would be 10.7.

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Answer:

6.28571428571

Step-by-step explanation:

Answer: 5/6 chance

Step-by-step explanation:

well on a six sided die there are the numbers : 1 , 2 , 3 , 4 , 5 , 6 obviously and we know that the total number of possible outcomes when you roll it would be six

rolling a 4 is only one option out of six so we subtract one from six

6 - 1 = 5

so theres a 5/6 chance you will not roll a 4

hope this helped :))

Answer:

5/6 or .83 or 83%

Step-by-step explanation:

there are five other numbers.

The formula of a slope:

\(\huge\begin{array}{ccc}m=\dfrac{y_2-y_1}{x_2-x_1}\end{array}\)

We have two points:

\((0,\ 3)\to x_1=0,\ y_1=3\\\\(5,\ 13)\to x_2=5,\ y_2=13\)

Substitute:

\(m=\dfrac{13-3}{5-0}\\\\m=\dfrac{10}{5}\\\\\boxed{m=2}\)

Answer:

Slope = 2

Step-by-step explanation:

Now we have to,

→ find the slope of the line.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Then the slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (13 - 3)/(5 - 0)

→ m = 10/5

→ [ m = 2 ]

Hence, the slope is 2.

Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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Answer:

Answer:

Option C is correct.

Explanation:

Explicit formula for the geometric sequence is given by:

where r is the common ratio term.

Given the recursive formula for geometric sequence:

For n =2

⇒

For n =3

⇒

Common ratio(r):

and so on..

⇒ r = 3

Therefore, the explicit formula for the geometric sequence represented by the recursive formula is:

Step-by-step explanation:

Answer:

现在我想你需要将 30 乘以 10/8，因为 1 张桌子需要 10/8 分钟，30 张桌子需要 10/8 * 30

The total number of members there is 199

Two kinds of logical reasoning are often distinguished in addition to formal deduction: induction and abduction. Given a precondition or premise, a conclusion or logical consequence and a rule or material conditional that implies the conclusion given the precondition, one can explain the following.

Since the number of members of the band is <200. the members are arranged in rows and 3 will be left out

therefore assume the members on row are 200- 3= 197, but 197 is a prime number ,therefore we choose the closet number to 197 which is 196.

therefore the total number of members = 196+3= 199.

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Answer:

L³

Step-by-step explanation:

De la pregunta anterior se nos dice que el diámetro del virus esférico

= 50 - 140 millas náuticas

Radio = 50 - 140 nm / 2

= 25 - 70 millas náuticas

El volumen de una esfera es

= 4/3 πr³

Usando el análisis dimensional

4/3 = constante

π = constante

[r] = Dimensión de longitud = L

Por lo tanto, la dimensión del volumen de la esfera = L³

Answer:

The employees in a firm earn $8.50 an hour for the first 40 hours per week and 1.5 times the hourly rate for any hours worked over 40.

If an employee works 52 hours in one week, it means that the amount that the employee would earn in the first 40 hours is 40 × 8.5 = $340

The number of hours left is 52 - 40 = 12 hours. The amount of money that he would earn in 12 hours is 12 × 1.5 = $18

Total amount of money that he earns for the week 340 + 18 = $358

Step-by-step explanation:

Answer:

HOPE IT HELPS YOU BRAINLIEST

Answer:

7

Step-by-step explanation: u get 14 by multiplying 2 and 7 and u get 21 by multiplying 7 times 3

\(14 = 7 \times 2 \\\\21 = 3 \times 7\\\\GCF = 7\)

Therefore, m = 7.5454... (rounded to four decimal places) and n = 0.5455...

What is Simultaneous Equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

1) 3p + 4q = 23

10p + 12q = 74

Subtracting 3 times the first equation from the second equation, we get:

10p + 12q - 3(3p + 4q) = 74 - 3(23)

10p + 12q - 9p - 12q = 5

p = 5

Substituting p = 5 in the first equation, we get:

3(5) + 4q = 23

4q = 8

q = 2

Therefore, p = 5 and q = 2.

2) 4s + 2t = 20

11s + 4t = 49

Multiplying the first equation by 2 and subtracting it from the second equation, we get:

11s + 4t - 2(4s + 2t) = 49 - 2(20)

11s + 4t - 8s - 4t = 9

3s = 9

s = 3

Substituting s = 3 in the first equation, we get:

4(3) + 2t = 20

2t = 8

t = 4

Therefore, s = 3 and t = 4.

3) 3a + 4b = 34

12a + 5b = 59

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

12a + 5b - 3(3a + 4b) = 59 - 3(34)

12a + 5b - 9a - 12b = 17

3a - 7b = 17

Multiplying the first equation by 5 and subtracting it from the second equation, we get:

12a + 5b - 5(3a + 4b) = 59 - 5(34)

12a + 5b - 15a - 20b = -61

-3a - 15b = -61

a + 5b = 20

Adding the equations 3a - 7b = 17 and a + 5b = 20, we get:

4a = 37

a = 9.25

Substituting a = 9.25 in the equation a + 5b = 20, we get:

9.25 + 5b = 20

5b = 10.75

b = 2.15

Therefore, a = 9.25 and b = 2.15 (rounded to two decimal places).

4) 6m + 5n = 48

18m + 4n = 78

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

18m + 4n - 3(6m + 5n) = 78 - 3(48)

18m + 4n - 18m - 15n = -6

-11n = -6

n = 0.5455...

Substituting n = 0.5455... in the first equation, we get:

6m + 5(0.5455...) = 48

6m = 45.2727...

m = 7.5454...

Therefore, m = 7.5454(rounded to four decimal places) and n = 0.5455.

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Note that the graph that represents the equation or expression given is option A. See same attached.

A system of linear inequalities is similar to a system of linear equations, except that it is made up of inequalities rather than equations. To represent scenarios with various restrictions, systems of linear inequalities are utilized.

A line graph is an effective tool for displaying a connection between two variables. The line graph depicts how the number of frog croaks per minute varies with temperature. Line graphs can help you to spot trends and correlations in data, allowing you to infer values that you did not measure.

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Answer: 44

Step-by-step explanation: No explain because just yeah:)

Answer:

4 - log3 (2)

Step-by-step explanation:

2log3 (9) = log3 (9^2)

log3 (27 * 9^2 / 54)

log3 ( 3^3 * 3^4 / 9 * 6)

log3 (3^7 / 3^2 * 3 * 2)

log3 (3^7 / 3^3 * 2)

log3 ( 3^4 /2)

log3 (3^4) - log3 (2)

4 - log3 (2)

The probability comes out to be 0.2296

We need to calculate the probability of each jet waiting at least 10 minutes before takeoff.

P(X≥10)=?

Let Z be the standard normal variable.

Z=(X-μ)/σ

Where μ is the mean of the taxi and take-off time for commercial jets and σ is the standard deviation of the taxi and takeoff time for commercial jets.

Z=(X-8.3)/2.3

Using the z-score formula, Z=(X-μ)/σ, we can standardize the value of the variable X to get its respective z-score value, z.

With a mean of 8.3 and a standard deviation of 2.3, the standardized score for a taxi and takeoff time of 10 is:

z=(10-8.3)/2.3 = 0.73913

The probability of a jet waiting at least 10 minutes before takeoff can be calculated as follows:

P(X≥10) = P(Z≥0.73913)

The probability of a standard normal random variable z is greater than or equal to 0.73913 is:

1 - Φ(0.73913)

where Φ(z) is the standard normal distribution function.

Using a standard normal distribution table or calculator, we find that:

Φ(0.73913) = 0.7704

Therefore: P(X≥10) = P(Z≥0.73913)= 1 - Φ(0.73913)= 1 - 0.7704= 0.2296

Thus, the probability of each jet waiting at least 10 minutes before takeoff is 0.2296.

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The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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Answer:

Its already solved, -4+25 does equal -4+25

Step-by-step explanation:

Answer:

you can solve this anymore....

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The correct order from best to worst of the sample groups is b→ a→ c.

The study conducted by the City Council of USA incorporates the reviewing for the funding for local sports-related activities.

There are 3 sample groups selected from the population of Anytown residents with an active interest in sports. They are:

a. High-school students at three different schools.

b. People randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar.

c. People randomly approached at a department store and at a shopping mall

All these groups are selected randomly.

But for (b), the people are obviously interested in sports activities, as they are selected from softball tournament, a swim meet, an athletic supply store, and a sports bar.

Next would be (a), because the students being younger is probably more interested in sports than elder ones.

The last would be the (c), people selected from the department store since they would be less aware of local- sports related activities.

So the order of samples from best to worst is b→ a→ c.

The question is incomplete. Find the complete question below:

The city council of Anytown, U.S.A., is reviewing the funding for local sports-related activities. To be better informed, it commissions a study. Order the sample groups, best to worst, based on how well they would represent the population of Anytown residents with an active interest in sports.

a. high-school students at three different schools

b. people randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar

c. people randomly approached at a department store and at a shopping mall

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Answer:

Step-by-step explanation:

EX.  in function f(x) = 2 cos x -2  

The first 2 is your amplitute, how high from middle line it goes

the last 2 is the shift in y direction.  

For f(x) = 2 cos x -2   (see image for this function)

it has been shifted down 2 and has a period

At \(\pi\) your function has a solution of -4

The first blank is  f(x) = cos x+2

Second blank is f(x) =  cos x -2

Answer:

\(x° + (3x + 60)° = 180° \: b. \: \boxed{combine \: like \: terms}

\\ 4x° + 60° = 180° c. \: \boxed{additive \: property \: of \: equality}

\\ 4x° = 120° d. \: \boxed{division \: property \: of \: equality}

\\ x° = 30° e. \: \boxed{division \: property \: of \: equality}\)

Step-by-step explanation:

♨Rage♨

Answer:

114 plus 3 = 117 (one-third of the novel)

117 x 3 = p = 351 (entire novel)