x^{2}+10x-24
helpppppp

Answer:

9 9/25

Step-by-step explanation:

234/25 = 9 9/25

Answer:

the answer is 9 9/25

Step-by-step explanation:

The number the teacher gave Ross is 5127

From the question, we are to determine the number that the teacher gave Ross

From the given information,

Mr. David gave Ross a number and asked him to divide it by 15.

Let the number be x

That is,

x/15

The quotient and remainder obtained by ross are 341 and 12 respectively

That is,

x/15 = 341 + 12/15

Now, we will solve the equation for x

x/15 = 341 + 12/15

Multiply through by 15

x = 15×341 + 12

x = 5115 + 12

x = 5127

Hence, the number the teacher gave Ross is 5127

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Answer:

r — 7.5 > -8

Step-by-step explanation:

r — 7.5 < —8 is r < - 0.5

—r — 7.5 > -8 is r < 0.5

—r — 7.5 > 8 is r < -15.5

r — 7.5 > -8 is r > -0.5

If you replace r with 17 the only that would be true is r — 7.5 > -8 cause 17 - 7.5 > -8 = 9.5 > -8 making the sentence true.

We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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Answer:

negative because the container is losing liquid.

Step-by-step explanation:

y-5x is the rate

Answer:

Sabrinas work

Step-by-step explanation:

5+c+c+c-4

5+3c-4

=3c+1

Given:

\(h(1)=9\)

\(h(n)=h(n-1)\cdot (-3)\)

To find:

The explicit formula for h(n).

Solution:

We have,

\(h(n)=h(n-1)\cdot (-3)\)         ...(i)

It is the recursive formula of a geometric sequence. It is of the form

\(a(n)=a(n-1)\cdot r\)         ...(ii)

where r is the common ratio.

On comparing (i) and (ii), we get

\(r=-3\)

We have, \(h(1)=9\) so the first term of the geometric sequence is \(a=9\).

The explicit formula for a geometric sequence is:

\(h(n)=ar^{n-1}\)

Substitute a=9 and r=-3 to get the explicit formula for the given sequence.

\(h(n)=9(-3)^{n-1}\)

Therefore, the required explicit formula is \(h(n)=9(-3)^{n-1}\).

Answer:

The first answer

Step-by-step explanation:

Domain refers to the set of x values and range refers to the set of y values. Since x goes from 0 to 3, and does not exclude any values within those numbers, the first answer applies to that set.

Answer:

option 1

that is

{t| 0 <= t <= 3}

Step-by-step explanation:

as the graph plots height ove time

time will be the domain, taken on the x axis, with values ranging from 0 to 3.

so the domain is

{t| 0 <= t <= 3}

Answer:

-1.86

Step-by-step explanation:

1.86 is half of 3.72, and when you divide a negative with a positive, you get a negative.

Answer:

-1.86

Step-by-step explanation:

The value of the function f⁻¹ (7) is, 1/3.

We have,

The function f (x) is shown in the graph.

Here, points (5, 1) and (6, 4) lie on the tangent line.

So, the Slope of the line is,

m = (4 - 1) / (6 - 5)

m = 3/1

m = 3

Hence, the slope of the tangent line to the inverse function at (7, 7) is,

m = 1/3

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Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:

Number of balls of clay: 10

Step-by-step explanation:

The volume of the cube is  \($V_{\text{cube}}=7^3=343,$\)

and the volume of a clay ball is: \($V_{\text{ball}}=\frac43\cdot\pi\cdot2^3=\frac{32}{3}\pi.$\)

Since the balls can be reshaped but not compressed, the maximum number of balls that can completely fit inside a cube is

\(\[\left\lfloor\frac{V_{\text{cube}}}{V_{\text{ball}}}\right\rfloor=\left\lfloor\frac{343}{\frac{32\pi}{3} }\right\rfloor.\]\)

Approximating with \($\pi\approx3.14\)

We have:

\(\[\left\lfloor\frac{V_{\text{cube}}}{V_{\text{ball}}}\right\rfloor=10.23565228\)

We simplify to get:

\(\[\left\lfloor\frac{V_{\text{cube}}}{V_{\text{ball}}}\right\rfloor\approx10\)

So:

\(\boxed{number\ of\ balls = 10}.$\)

Refer to the attached image.

Answer:

4(x+4)

Step-by-step explanation:

Factor 4x+16

4x+16

=4(x+4)

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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The  statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.

From the  question, the spinner has:

8 sections, with:

So probability of one getting on any section is  = 1/8, or 0.125.

Therefore, the  probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.

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Using conditional statements we can say that three plus two does not equal four, Hence the second statement is false.

In mathematics, a statement is a declarative speech that has only two possible outcomes: true or false.

The given statements are: (Mathematically)

1 + 2 = 3

3 + 2 = 4

3 + 2 ≠ 4

We know that from the properties of addition:

1 + 2 = 3 this statement is true.

3 + 2 = 4 , this statement is false

3 + 2 ≠ 4 , this statement is also true.

Hence we can conclude that only the second statement is false.

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the arc length of the function f(x) = 6 - 2x² over the interval [0, 2] is approximately 5.568 units AND the surface area of the object obtained by rotating y = 7x + 2 about the x-axis over the interval [2, 5] is approximately 296.5π units.

To find the arc length of the function f(x) = 6 - 2x² over the interval [0, 2], we need to set up and evaluate the appropriate integral.

Start by finding the derivative of the function f(x) with respect to x:

f'(x) = -4x.

Use the formula for arc length:

L = ∫[a,b] √(1 + (f'(x))²) dx.

In this case, a = 0 and b = 2.

Substitute the derivative f'(x) into the formula:

L = ∫[0,2] √(1 + (-4x)²) dx.

Simplify the integrand:

L = ∫[0,2] √(1 + 16x²) dx.

Evaluate the integral using a calculator or Desmos.

L = ∫[0,2] √(1 + 16x²) dx ≈ 5.568 units.

Therefore, the arc length of the function f(x) = 6 - 2x² over the interval [0, 2] is approximately 5.568 units.

For the surface area of the object obtained by rotating y = 7x + 2 about the x-axis over the interval [2, 5], we can use the formula for surface area:

S = ∫[a,b] 2πy √(1 + (dy/dx)²) dx.

Determine the derivative of y = 7x + 2 with respect to x:

dy/dx = 7.

Substitute the values into the surface area formula:

S = ∫[2,5] 2π(7x + 2) √(1 + 7²) dx.

Simplifying,

S = 2π∫[2,5] (7x + 2) √(1 + 49) dx.

S = 2π∫[2,5] (7x + 2) √50 dx.

Evaluate the integral using a calculator or Desmos.

S ≈ 296.5π.

Therefore, the surface area of the object obtained by rotating y = 7x + 2 about the x-axis over the interval [2, 5] is approximately 296.5π units.

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Here, we want to describe the difference between relative frequency and theoretical probability

Firstly, we need the values for the theoretical probability and relative frequency

To get the theoretical probability, we only need to divide the number of frequencies of lizards by the total frequency

The total frequency is;

13 + 7 + 5 + 10 + 7 + 5 = 47

The theoretical probability is thus;

Now, we need the value for the relative frequency

That would be expressed as a percentage and that is;

Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

A negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

or

4.9x + 3 = 12.8

or

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

Answer:

8 miles

Step-by-step explanation:

:p

The value of the functions at 9m is

Generally, In mathematics, a function is a rule that maps one set of values (the domain) to another set of values (the range). The values in the range are determined by applying the function to the values in the domain.

Functions can take many forms and be expressed in different ways, including:

Linear functions: a function that produces a straight line when graphed. It has the form f(x) = mx + b, where m is the slope of the line and b is the y-intercept.

Quadratic functions: a function that produces a parabola when graphed. It has the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Therefore, this function

- f(x) = 4x

g(x) = 9x¹/2

for

F(x)=4x

F(9)=4*9

f(9)=36

for

g(x) = 9x¹/2

g(9)=9√9

=27

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Answer:

k = 10

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 10.

Therefore, k = 10.

Freud is a stage theorist. Sigmund Freud, the renowned Austrian neurologist and psychoanalyst, is widely recognized as one of the pioneers in the field of psychoanalysis.

He proposed a developmental theory that included psychosexual stages of development. According to Freud, human development progresses through distinct stages, each characterized by a specific focus on different erogenous zones. These stages include the oral stage, stage, phallic stage, latency stage, and genital stage. Freud believed that the way individuals navigate these stages influences their personality and psychological well-being in adulthood.

Although Freud's stage theory has been critiqued and modified over time, his ideas regarding the importance of early childhood experiences and unconscious processes have had a profound impact on psychology and continue to shape our understanding of human development.

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Answer:

28+8=24

61=12-6

Step-by-step explanation:

Subtract 8 from both sides of the equation.

2x+8=24

2x+8-8=24-8

Simplify

2x=16

Divide both side of the equation by the same term

2x/2 16/2

Simplify

x=8

Subtract the numbers

6x=12-6

6x=6

Divide both side of the equation by the same term

6x/6 6/6

Simplify

x=1

hope it helps took a long time to do lols

Answer:

Subtract 8 from both sides of the equation.

2x+8=24

2x+8-8=24-8

Simplify

2x=16

Divide both side of the equation by the same term

2x/2 16/2

Simplify

x=8

Step-by-step explanation:

Sorry I can't aNswer well

A taste test asks people from Texas and California which pasta they prefer brand A or brand B. The correct answer is option D.

We first give events names:

Event C: Californians were chosen for the group.

Event A: The chosen individual favors the A mark

Now note in the table that there are 275 people in total.

Then, there are 176 persons who favor the A mark.

150 persons identified as being from California.

There are 96 residents of California who favor the A brand.

Next, we have this:

\(P(C)= \frac{150}{275} \\P(C)= \frac{6}{11} \\P(C)=0.55\\P(A)= \frac{176}{275} \\P(A)= \frac{16}{25} \\P(C and A)= \frac{96}{275} \\P(C and A) = 0.3491\)

Then:

\(P(CIA)= \frac{P(C and A)}{P(A)} \\P(CIA)= \frac{\frac{96}{276} }{\frac{16}{25} } \\= \frac{6}{11} = 0.55\)

Two occurrences C and A are by definition independent if and only if:

\(P(C and A)=P(A)*P(C)\)

If A and C are separate events, the following condition must be true:

\(P(CIA)= \frac{P(A)*P(C)}{P(A)} \\P(CIA)=P(C)\\\)

Be aware that \(P(C)=0.55\) and \(P(CIA)=0.55\)

So:

\(P(CIA)=P(C)\)

Consequently, the occurrences are separate, and \(P(C)=P(CIA)=0.55.\)

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Answer:

Many test takers have found the Reading and English section to be moderately difficult. However, many TEAS takers vouch that the Science and Math section are more complex and challenging. The timed nature of the exam can be difficult for some.

Step-by-step explanation:

Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student