What is the solution of the equation?:
-2(3x+1)-2x=-4(2x)-4

The height of the ball after x tosses is given as follows:

\(h(x) = 2.5(0.8)^x\)

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) represents the first term.

The parameters for this problem are given as follows:

\(a_1 = 2.5, q = 0.8\)

Hence the height of the ball after x tosses is given as follows:

\(h(x) = 2.5(0.8)^x\)

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Answer:

4³, 8², and 2⁶ are all equivalent to 64¹

Answer:

A, C, F

Step-by-step explanation:

A. 4 x 4 x 416 x 4= 64

C. 8 x 8 = 64

F. 2x2=4x2= 8x2=16x2=32 x 2= 64

The number of students who own a cat are 17.

Given is a survey of the 30 students in Juan's class.

We can write -

Number of students who own dog = (1/2) x 30 = 15

Number of students who own dog and cat both = (2/3) x 15 = 10

Number of students who have no pets = 8

Number of students owning a cat alone = 30 - (15 + 8) = 7

Students who own a cat = 10 + 7 = 17

Therefore, the number of students who own a cat are 17.

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The value of cos⁻¹(−0.53) is approximately equals to  -1.012 radians (rounded to 3 decimal places).

Use the inverse cosine function on a calculator to find the value of cos⁻¹(−0.53),

Evaluate it to at least 3 decimal places, use the following steps,

cos⁻¹(−0.53) = x

⇒cos(x) = −0.53

Use the identity cos²(x) + sin²(x) = 1 to solve for sin(x),

⇒sin²(x) = 1 − cos²(x)

⇒sin²(x) = 1 − (−0.53)²

⇒sin²(x) = 0.7191

⇒ sin(x) ≈ ±0.8479

Both a positive and negative value for sin(x),

since sine is positive in both the first and second quadrants.

To determine which value of sin(x) is correct,

The range of values for the inverse cosine function.

The range of cos⁻¹(x) is [0, π], or [0°, 180°],

⇒ The output of the inverse cosine function is always a non-negative angle in the first or second quadrant.

Since sin(x) is negative in the second quadrant, eliminate the positive value for sin(x).

⇒ sin(x) = −0.8479

Now use the inverse sine function to find x,

⇒sin⁻¹(−0.8479) = x

⇒x ≈  -1.012radians

Therefore, cos⁻¹(−0.53) ≈  -1.012 radians (rounded to 3 decimal places).

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The above question is incomplete, the complete question is:

Use your calculator to evaluate cos⁻¹( − 0. 53 ) to at least 3 decimal places. Give the answer in radians

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Knowing that two bouquets of flowers and candies are bought, leaving 21.10, the money at the beginning of the purchase is $266.85.

To find out how much money she had in the beginning, we can use the following equation:
Starting money - (bouquets cost + candies cost) = money left

Let's plug in the given values:
Starting money - ((2 x 121.75) + (2.25 x candies)) = 21.10

Simplifying the equation, we get:
Starting money - (243.50 + 2.25 x candies) = 21.10

Now, we can rearrange the equation to solve for the starting money:
Starting money = 21.10 + 243.50 + 2.25 x candies

If we plug in the given values, we get:
Starting money = 21.10 + 243.50 + 2.25 x candies
Starting money = 266.85

Therefore, Arunima had a total of $266.85 in the beginning.

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The percentage by which the price of chicken parmesan will increase is 153.76%.

Food cost is defined as the cost of ingredients and raw materials that are required to make a dish. Food cost is also known as menu cost or recipe cost.

Menu pricing strategy determines the selling price of a dish or menu item. To price the menu, the food cost is usually divided by the desired percentage of profit. Let's solve the problem using the following formula:

Menu Price = (Food Cost ÷ Desired Percentage Markup) + Food Cost

Given, Price for chicken parmesan = $11.99

Food cost for this item = $4.31

New menu price will be 30% of the food cost.

Menu Price = (30% × 4.31) + 4.31= 1.293 + 4.31= 5.6033 ≈ $5.60

The percentage increase in the price of chicken parmesan is given by the following formula:

Percentage increase = (New Price - Old Price) / Old Price × 100%

Percentage increase = (5.60 - 11.99) / 11.99 × 100%

Percentage increase ≈ -53.76%

This is a negative value which implies that the price is decreased instead of increasing. So we have to add the absolute value of the percentage increase to 100% to get the actual percentage increase.

Percentage increase = 53.76% + 100%

Percentage increase = 153.76%

So, the percentage by which the price of chicken parmesan will increase is 153.76% rounded to two decimal places .

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Greetings from Brasil...

For reverse function, just invert the X by the Y and vice versa.

Note that F(X) = Y and F⁻¹(X) = Y⁻¹

F(X) = 1(9X - 2)  ⇔  Y = 1(9X - 2)

replacing X with Y⁻¹

X = 1(9Y⁻¹ - 2)

Answer:

We move all terms to the left:

4t+6-(-24)=0

We add all the numbers together, and all the variables

4t+30=0

We move all terms containing t to the left, all other terms to the right

4t=-30

t=-30/4

t=4.5

Brainiest?

Answer:

\(\boxed{t=\frac{9}{2} }\)

Step-by-step explanation:

\(4t+6=24\)

Subtract 6 on both sides.

\(4t+6-6=24-6\)

\(4t=18\)

Divide 4 on both sides.

\(\displaystyle \frac{4t}{4} =\frac{18}{4}\)

\(\displaystyle t=\frac{9}{2}\)

Answer:

a. k > 7

b. a < -21

c. h > 9

d. f < 301

Step-by-step explanation:

a. 2k + 7 > 21

2k > 14

k > 7

b. a/3 + 12 < 5

a/3 < -7

a < -21

c. 6h − 5 > 49

6h > 54

h > 9

d. f/7 − 9 < 34

f/7 < 43

f < 301

Hope this helps!

The following inequalities are:

a.

2k + 7 > 21

k > 7

b.

a ⁄ 3 + 12 < 5

a < -21

c.

6h − 5 > 49

h > 9

d.

f ⁄ 7 − 9 < 34

f < 301

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

2k + 7 > 21

Subtract 7 on both sides.

2k > 21 - 7

2k > 14

Divide 2 on both sides.
k > 7

a ⁄ 3 + 12 < 5

Subtract 12 on both sides.

a/3 < 5 - 12

a/3 < -7

Multiply 3 on both sides.

a < -21

6h − 5 > 49

Add 5 on both sides.

6h > 49 + 5

6h > 54

Divide 6 on both sides.

h > 9

f ⁄ 7 − 9 < 34

Add 9 on both sides.

f/7 < 34 + 9

f/7 < 43

Multiply 7 on both sides.

f < 301

Thus,

k > 7

a < -21

h > 9

f < 301

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Answer:

Variant c

Step-by-step explanation:

c²=4*9

c=6

You can apply phyphagor

b²=6²+9²=36+81=117

\(3 \sqrt{13} \)

Answer:

well it asking for a vowel I think and the only vowel that is on there that is not (Y) is (A) so I would think it would be 1

Describe four common ways in which individuals respond to perceived inequity are -

Equity, also known as shareholders' equity (or shareholders' equity for private companies), is the sum of money which would be handed back to a company ’s creditors if each of its assets have been liquidated and all of its debt was paid off in the event of liquidation.

Some key features regarding the equity are-

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A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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Answer:

exabit for about 51 min

Step-by-step explanation:

COMMET IF I BE WRONG

Answer:

6 1/2×60=390 390÷5=78

Step-by-step explanation:

They will have an hour and 18 minutes per each water ride.

b) i. The number of students who studied all the three subjects is 4students

Ii. The number of students that studied history only is 32 students

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles to denote the relationship between sets.

let the number of students that did three subject be x

and n(F) = 22

n(E) = 22

n(H) = 36

since 6 student didn't offer any of the three subject then U= 60-54

therefore U= 22+22+36+x-8-10-12

54= 50+x

x= 50-54

x= 4

therefore number of students that did the three subjects is 4

The number of those that offered history only is 36-4= 32students.

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Answer:

this is the correct solution for your question

Answer:

The value of k is -4.

Step-by-step explanation:

In order to find the value of k, you have to substitite x = -1/2 into the equation :

\(2 {x}^{2} - 7x + k = 0\)

\(let \: x = - \frac{1}{2} \)

\(2 {( - \frac{1}{2} )}^{2} - 7( - \frac{1}{2} ) + k = 0\)

\(2( \frac{1}{4} ) + \frac{7}{2} + k = 0\)

\( \frac{1}{2} + \frac{7}{2} + k = 0\)

\(4 + k = 0\)

\(k = - 4\)

Answer: a

Step-by-step explanation:

The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.

In the given question we have to find how fast is the distance to the top of the building changing when they are 60 feet from the base of the building.

A family is walking toward their home, which is in an apartment building 123 feet tall.

They are walking at a rate of 5 ft/sec.

So according to the given statement diagram is

In the diagram x represent base and s represent the distance.

Using the Pythagorean theorem to find the value of s.

So the equation should be

\(s^2=x^2+(123)^2\)........................(1)

From the question, x=60 feet

Now putting the value

\(s^2=(60)^2+(123)^2\)

\(s^2\) = 3600+15129

\(s^2\) = 18729

s = 136.85

Differentiate equation 1 with respect to t using the power rule then solve the expression for ds/dt

2s ds/dt=2x dx/dt+0

2s ds/dt= 2x dx/dt

Divide by 2s on both side, we get

ds/dt= x/s dx/dt.......................(2)

They are walking at a rate of 5 ft/sec.

So dx/dt=5

Putting the value in the equation 2

ds/dt=60/136.85 ×5

ds/dt=0.438×5

ds/dt=2.19 ft/s

The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.

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Answer:

-14541

Step-by-step explanation:

100 - 121² = 0

100 - 14641

-14541

Answer:

-14541 = 0

Step-by-step explanation:

Simplify each term.

121 to the power of 2

100 − 1 X 14641 = 0

1 X 14641

100 − 14641 = 0

14641 - 100

Sorry if it's confusing... I'm not the best at explaining.

Given:

The given coordinate is (1,2).

The obective is to find the image of (1,2) after a reflection about x=3 followed by x=7.

Consider the coordinate as (x1, y1) = (1,2).

The distance between the given coordinate and the line x= 3 can be calculated as,

After the reflection, the coordinate will shift to d more the x = 3.

So the coordinate (x2, y2) can be calculated as,

Thus, the coordinate will be (x2, y2) = (5, 2).

Now, the distance between the coordinate (x2, y2) and x-7 can be calculated as,

After the reflection, the coordinate will shift to d more than x = 7.

So the coordinate (x3, y3) can be calculated as,

Hence, the image of (1,2) after reflection ove x = 3 and x= 7 will be (9,2).

Answer: 156!

Step-by-step explanation: i’m not going to lie, i guessed but, i ended up getting it right .

D. A state is Alaska if and only if it is the biggest state in the United States of America is the correct biconditional statement.

This is the correct biconditional statement because it accurately reflects the information given. The statement states that a state is Alaska if and only if it is the biggest state in the United States of America. This is true, as the given information states that Alaska is the biggest state in the United States of America.

Therefore, statement D is the correct biconditional statement that reflects the given information that Alaska is the biggest state in the United States of America.

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a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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Answer:

Of the given options, "an engine" is the most reasonable abstraction for a car.

An engine is a fundamental component of a car that powers its movement, and it is present in almost all cars. The number of miles driven and the driving car color are characteristics of a specific car rather than abstractions of a car itself. For example, a car can still be considered a car even if it has not been driven any miles yet or if it has no color at all.

Therefore, an engine is a more reasonable abstraction for a car as it captures an essential feature of a car that is present in all cars.

The solution is, D. Driving, a reasonable abstraction for a car includes. Driving is an action or behavior associated with a car, as it involves operating or using the car to travel from one place to another. It is an essential aspect of the car's purpose and function.

Here, we have,

we know that,

An engine is a machine designed to convert fuel into mechanical energy that can be used to power other machines or devices. In the context of automobiles, an engine is the primary source of power that drives the vehicle. It typically operates by burning fuel in a combustion chamber to generate high-pressure gases that drive a piston, which in turn rotates a crankshaft that ultimately powers the car's wheels.

Car color and number of miles driven are characteristics or properties of a car, while an engine is a component that helps to power the car. Driving, on the other hand, is an action or behavior associated with a car, as it refers to the act of operating or using the car to travel from one place to another.

Therefore, driving is a reasonable abstraction for a car, as it captures an essential aspect of the car's purpose and function.

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Answer:

Step-by-step explanation:

i took the test hope this helps

a)

The expression that represents the number of lawns Eve mows in those 8 weeks is 8(L- 2)

b)

The value of the expression is 8.

c)

The tabular table is given above.

d)

Eve mowed 24 lawns in 8 weeks.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Logan:

Number of lawns each week = L

Number of lawns 8 weeks = 8L

Eve:

Number of lawns each week = )L - 2)

Number of lawns 8 weeks = 8(L- 2)

a)

The expression represents the number of lawns Eve mowed in those 8 weeks.

= 8(L -2)

b)

When L = 3,

8 (L - 2)

= 8 (3 - 2)

= 8 x 1

= 8

c)

Tabular table

                Number of weeks     Number of lawns

Logan         x                                xL

Eve            x                                 x(L - 2)

d)

Logan:

Number of lawns in one week = 5

L = 5

Eve:

Number of lawns in 8 weeks.

= 8 (L - 2)

= 8 (5 - 2)

= 8 x 3

= 24

Thus,

a) 8(L- 2)

b) 8

c) Tabular table is given above.

d) Eve mowed 24 lawns in 8 weeks.

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Answer:

a = -3

Step-by-step explanation:

f(x) = 5x³+4x²+3x-4a

f(-1) = 8

therefore , x = -1

substituting x = -1 in 5x³ + 4x² +3x-4a

5(-1)³ + 4(-1)² + 3(-1) - 4a. = 8

-5 + 4 -3 - 4a = 8

-8 + 4 -4a = 8

-4 - 4a = 8

shifting -4 from LHS to RHS

-4a = 8+4

-4a = 12

\( - a = \frac{12}{4} \)

therefore

-a = 3

a = -3

ANS = the value of a = -3

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Answer: descriptive statistics

Step-by-step explanation: The average age of everyone in the class is an example of descriptive statistics.