If f(x) = 2/3x^2 + 8x, what is the value of f(6)?

Olivia will need at least 11 months to reach her savings goal.

What is algebra ?

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It involves the use of letters and symbols to represent values and quantities in mathematical equations and formulas. Algebra is used to solve problems that involve unknown quantities by using rules and operations to manipulate the symbols representing those quantities.

Let's use algebra to solve this problem. Let "m" be the number of months it will take for Olivia to reach her goal of saving at least $7,500.

In one month, Olivia will deposit $650, so after "m" months, she will have deposited:

650m

In addition to this, Olivia already has a balance of $400, so her total savings after "m" months will be:

650m + 400

We want to find how many months "m" it will take for Olivia to save at least $7,500. So we can set up the following inequality:

650m + 400 >= 7,500

Subtracting 400 from both sides:

650m >= 7,100

Dividing both sides by 650:

m >= 10.92

Since we can't have a fraction of a month, we'll round up to the next whole number. Therefore, Olivia will need at least 11 months to save at least $7,500.

Therefore, Olivia will need at least 11 months to reach her savings goal.

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Answer:

Step-by-step explanation:

A.  h = -2(1)² + 7(1) + 4 = 9 ft

B.  use the quadratic formula to find the 2 solutions to t when

y = f(t) = -2t² + 7t + 4 = 0         a=-2, b=7, c=4

the 2 solutions for t are:  -1/2, 4

halfway between t=-1/2 and t=4 is:  (-1/2 + 4) /2 = 1.75   (vertex of the parabola)

so, at t = 1.75 s, the toy is at its max. height:

h = -2(1.75)² + 7(1.75) + 4 = 10.125 ft

C.  Toy is in the air for 4 sec

The answer is 4 s because f(4) = 0, meaning the toy hits the ground after 4 sec

Answer:

C) 36.

Step-by-step explanation:

Since there are 9 game pieces in each tic-tac-toe board and the class has 4 tic-tac-toe boards, the total number of game pieces the class has is:

9 pieces/board x 4 boards = 36 pieces

Therefore, the answer is C) 36.

series: 12, 11, 13, 12, 14, 13, … What number should come next? i believe its 12

12-11=1

13-11=2

So to get 11 you subtract 1 from 12 and to get 13 you add 2 to it

If you follow that procedure the next number should be 15 if you add 2 to 13

Answer:

it 39 ×90 for sure it 3510

The expression "eight more than the sum of a number and 7 is 90" can be written as: 8 + (x + 7) = 90

From the question, we have the following parameters that can be used in our computation:

eight more than the sum of a number and 7 is 90

Express the numbers properly

So, we have

8 more than the sum of a number and 7 is 90

Express the operators properly

8 + (x + 7) = 90

hence, the expression is 8 + (x + 7) = 90

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An equation for the relation is y = -3x + 10.6.

f(50) is -139.4.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At point (1, 7.6), an equation of this line can be calculated by using the point-slope form:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 7.6 = (4.6 - 7.6)/(2 - 1)(x - 1)

y - 7.6 = -3(x - 1)

y = -3x + 3 + 7.6

y = -3x + 10.6

For f(50), we have:

y = -3x + 10.6

y = -3(50) + 10.6

y = -150 + 10.6

y = -139.4

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Therefore , the solution of the given problem of area  comes out to be potential dimensions are thus (19 m, 15 m) and (15 m, 19 m), or (8 m, 37 m), and (37 m, 8 m).

Its total size can be determined by how much space is required to completely cover the outside. The nearby surroundings are taken into consideration when calculating the surface of a trapezoidal shape. The total measurements of something are determined by its surface area. The sum of the boundaries for each of a cuboid's six rectangular edges represents its internal water capacity. To calculate the size of the box, use the following method:

Here,

Let's write L for the rectangular plot's length and W for its breadth. Consequently, the rectangle plot's perimeter can be written as:

=> 2L + W = 53

Additionally, since we are aware that the rectangle plot's area is 306, we can write:

=> LW = 306

By resolving the initial solution for W, we can obtain:

=> W = 53 - 2L

When we use this formula as W's substitute in the second equation, we obtain:

=> L(53 - 2L) = 306

Increasing the left edge gives us:

=> 53L - 2L² = 306

Rearranging and condensing results in:

=> 2L² - 53L + 306 = 0

To find L, we can use the cubic formula:

=> L = [53 + √53² - 4(2)(306))] / (2(2))

=> L = [53 ± 25] / 4

=> L = 19 or L = 8

The rectangular plot's two groups of potential dimensions are thus (19 m, 15 m) and (15 m, 19 m), or (8 m, 37 m), and (37 m, 8 m).

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A good book is one that makes the reader feel. It takes the reader on a compelling journey. .

A book is a medium for recording information in the form of writing or images, typically composed of many pages bound together and protected by a cover

Given is to understand what are the characteristics of good book.

A good book is one that makes the reader feel. It takes the reader on a compelling journey.

Calling a book “good” is an opinion that can be applied to any book.

Therefore, a good book is one that makes the reader feel. It takes the reader on a compelling journey.

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The side AC is 10 units long.

Measurement of length can be done in a variety of methods, including using handspan, foot span, metres, or other units including millimetres, inches, and metres. There are two types of length measurement units: There are both conventional and nonstandard length measurement units.

The Pythagorean theorem can be used to determine the length of side AC in the triangle ABC given:

AC² = AB² + BC²

AC² = 6² + 8²

AC² = 36 + 64

AC² = 100

AC = 10

As a result, the side AC is 10 units long.

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Answer:whoops it’s b

Answer:

Its A I think

Step-by-step explanation:

Harry has  90 mosquitoes on his uniform after the loop de loop.

An integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations

To find the number of mosquitoes that splat on Harry's uniform during the loop de loop, we need to integrate the mosquito density function M(x,y,z) over the curve given by the parametrization r(t):

[tex]\int _C\:M\left(x,y,z\right)\:ds\:=\:\int _{t_1}^{t_2}\:M\left(r\left(t\right)\right)\:||r'\left(t\right)||\:dt\:[/tex]

where C is the curve defined by r(t), ||r'(t)|| is the magnitude of the tangent vector to the curve, and ds is the arc length element.

We can compute the tangent vector to the curve as:

[tex]r'\left(t\right)\:=\: < 7,\:3cos\left(t\right),\:-3sin\left(t\right) >[/tex]

The magnitude of the tangent vector is:

[tex]||r'\left(t\right)||\:=\:\sqrt{7^2\:+\:3^2cos^2\left(t\right)\:+\:3^2sin^2\left(t\right)}\:=\:\sqrt{67}[/tex]

Substituting these expressions into the integral, we get:

[tex]\int _C\:M\left(x,y,z\right)\:ds\:=\:\int _0^{5\pi }\:\frac{12+3cos\left(t\right)}{\pi \sqrt{58}}\sqrt{67}\:dt\:[/tex]

[tex]\int _C\:M\left(x,y,z\right)\:ds\:\approx \:89.62[/tex]

Hence, Harry has  90 mosquitoes on his uniform after the loop de loop.

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Let's start by using "x" to represent the number of picture cards that Cevin has. We know that Tom has 3 times as many picture cards as Cevin, so:

Tom = 3x

We also know that Tom has 2304 picture cards, so:

3x = 2304

Solving for x, we get:

x = 768

So, Cevin has 768 picture cards.

We also know that Ron has 190 fewer picture cards than Kevin, so:

Ron = x - 190

Substituting x with 768, we get:

Ron = 768 - 190

Therefore, Ron has:

Ron = 578 picture cards.

Answer:

8.407

Step-by-step explanation:

8.767−0.36

= 8.767−0.36

=8.767+(−0.36)

= 8.407

Answer: the length is 6

Step-by-step explanation:

3+3+6+6=18

3x6=18

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &708000\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=years\dotfill &10\\ \end{cases} \\\\\\ A = 708000(1 - 0.16)^{10} \implies A=708000(0.84)^{10}\implies A \approx 123830.07[/tex]

By answering the above question, we may state that As a result, around expressions 10:35 AM, Ariana and Leon began their clothing shopping.

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.  

We must take the time they spent at the mall overall from the moment they departed in order to determine when Ariana and Leon began looking for clothing.

To make adding up the times easier, let's first convert all the times to minutes:

Clothing shopping takes an hour, or 60 minutes.

Restaurant: 55 minutes

In a video arcade, two hours are equal to 120 minutes plus 10 minutes.

Total time spent at the mall is 245 minutes (60 + 55 + 130).

If they left the mall at 1:40, then we need to take 245 minutes away from that time.

1:00 PM minus 245 minutes equals 10:35 AM.

As a result, around 10:35 AM, Ariana and Leon began their clothing shopping.

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As the x-value increases, the function decreases towards y = 0. Then the correct option is C.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as,

y = a(b)ˣ

The exponential function is given below.

f(x) = (0.4)ˣ

As x tends to positive infinity, then the value of the function is calculated as,

[tex]\rm f(x) = (0.4)^{\infty}\\\\f(x) = 0[/tex]

As the x-value increases, the function decreases towards y = 0. Then the correct option is C.

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Answer:

21

Step-by-step explanation:

Answer:

25% of 84 is 21

Step-by-step explanation:

25% can be written as 0.25

0.25 times 84 = 21

Answer: 9 and 3

Step-by-step explanation: Depends the signs +/- and the problem.

The solution to equation 1, 2, 3, 4, 5 and 6 are y = (-3/2) + 6, y = (-5/3) + 3,  y = (-1/5)x + 9/5, y = (1/4)x + 3/2, y = (-7/3)x + 3 and y = 6x + 3 respectively.

Given the linear equations in the question;

To make y the subject of the formula, we need to isolate y on one side of the equation by moving all other terms to the other side.

1) 3x + 2y = 12

Subtract 3x from both sides:

3x - 3x + 2y = -3x + 12

2y = -3x + 12

Divide each term by 2

2y/2 = -3x/2 + 12/2

y = (-3/2) + 6

2) 5x + 3y = 9

Subtract 5x from both sides:

5x - 5x + 3y = -5x + 9

3y = -5x + 9

Divide each term by 3

3y/3 = -5x/3 + 9/3

y = (-5/3) + 3

3) x + 5y = 9

Subtract x from both sides:

x - x + 5y = -x + 9

5y = -x + 9

y = (-1/5)x + 9/5

4) -2x + 8y = 12

8y = 2x + 12

y = (2/8)x + 12/8

y = (1/4)x + 3/2

5) -7x - 3y = -9

-3y = 7x - 9

y = (-7/3)x + 3

6) 6x - y = -3

-y = -6x - 3

y = 6x + 3

Therefore, the formula in terms of x is: y = 6x + 3.

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As the total of Rita and Shova's current ages is 20, they are both 20 years old.

A mathematical strategy for resolving proportional and ratio issues is called the unitary method. Finding the value of one unit of an amount and using that value to calculate the value of additional units is what this process entails. The foundation of the unitary approach is the idea that if two quantities are equal, then their ratios must also be equal. For instance, if five apples cost $10, then the expense-to-apple ratio is 10/5 = 2. This ratio can be used to calculate the price of a varied quantity of apples.

given

According to the issue statement, Rita was three times as old as Shova when her age and Shova's current age were equal.

R - (S - R) Equals 3(S - R) (S - R)

When we simplify this solution, we obtain:

2R = 4S - 2S

2R = 2S

R = S

As a result, we are aware that Rita and Shova are both currently the same age.

Additionally, we are aware that their combined current ages are 40 years.

R + S = 40

R = S, so we can change S in the second equation to R:

R + R = 40

2R = 40

R = 20

Rita is currently twenty years old. Since R = S, Shova is 20 years old at the moment.

As the total of Rita and Shova's current ages is 20, they are both 20 years old.

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Given:-

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━

Hope it helps! :)

Answer:

Step-by-step explanation:

a. 4x + 8

b. 14x

c. 8x + 12

d. 6x + 6y + 6z

Answer:

Step-by-step explanation:

1]4(x+2)

using distributive property ,

Multiply 4 to x and 2

4x + 8

2]4(2x+3)

using distributive property ,

Multiply 4 to 2x and 3

= 4 x 2x + 4 x 3

= 8x +12

3](6 + 8).x

= (14).x

14x

4] 6(x + y + z)

using distributive property ,

multiply 6 to x and y and z

6.x + 6.y + 6.z

6x + 6y +6z

Answer:

B I did the math in my head mb if I get wrong

Answer:

[tex]\frac{1}{256}[/tex]

Step-by-step explanation:

Given

[tex]\left(4^4\right)^{-1}[/tex]

We can use the power rule to multiply the exponents.

The power rule for exponents states

[tex]\left(a^b\right)^{c}=a^{bc}[/tex]

[tex]4^{4*-1}[/tex]

Multiply 4 by −1.

[tex]4^{-4}[/tex]

Rewrite the expression using the negative exponent rule.

The negative exponent rule states

[tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]\frac{1}{4^4}[/tex]

Raise 4 to the power of 4.

[tex]\frac{1}{256}[/tex]

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Answer:

Step-by-step explanation:

Answer:

a and b

Step-by-step ex

Answer: 7 batches

Step-by-step explanation:

If Eduardo makes 4 batches, he will need 2/3 x 4 = 8/3 cups of flour.

To add 3 more batches, he will need 3 x 8/3 = 8 cups of flour.

In total, Eduardo will need 8/3 + 8 = 32/3 + 8 = 32/3 + 24/3 = 56/3 cups of flour for 7 batches. Therefore, Eduardo will need 8 cups of flour if he makes 3 more batches, and he will need 56/3 cups of flour in total if he makes 7 batches.

Answer:1.111

Step-by-step explanation:

Let's use the variable W to represent the percent of top earners who are women.

According to the problem statement, the percent of top earners who are men is more than four and a half times the percent of top earners who are women. Mathematically, we can write this as:

M > 4.5W

Additionally, the percent of top earners who are men is less than five times the percent of top earners who are women. This can be written as:

M < 5W

We can combine these two inequalities into a compound inequality:

4.5W < M < 5W

This means that the percent of top earners who are men is between 4.5 times and 5 times the percent of top earners who are women.

To solve for W, we can divide all three parts of the compound inequality by 4.5:

W < M/4.5 < W/0.9

Simplifying, we get:

W < 0.222M < 1.111W

Therefore, the percent of top earners who are women, W, must be less than 0.222 times the percent of top earners who are men, and also less than 1.111 times the percent of top earners who are women.