q(x)=1/x^2+25
Find the domain of the rational function

Answer:

f(x) = x^3 + 4x^2 - 7x - 28

Step-by-step explanation:

If the roots of this cubic function are Square root of seven,  -Square root of seven,  -4, then the factors must be (x^2 - 7)(x + 4).

Multiplying this out, we get f(x) = x^3 + 4x^2 - 7x - 28.

Note:  Please use " ^ " to indicate exponentiation.

h(1)= -91

h(n)=h(n-1)* (-1/7)

Hope this helps!

h(1)= -91

h(n)=h(n-1)* (-1/7)

Hope this helps!

Answer:

5 * 10^10

Step-by-step explanation:

(9 * 10^10) - (4 * 10^10)

If the * 10^x are both the same then just take the numbers away.

Answer:

5×10 to the tenth power

Step-by-step explanation:

(9×10^10)-(4×10^10)

remove the parenthesis

9×10^10-4×10^10

then you need to collect like terms so you subtract 9-4

and get 5×10^10

final answer:5×10 to the tenth power

Answer:

D) 13m

Step-by-step explanation:

To find the hypotenuse, use the formula for a² + b²= c², where a and b are the values of the triangle's two legs and c is the value of the hypotenuse.

In this case, a² = 7m and b² = 11m. Remember that there is no definite value for a or b, so they can be switched around.

So now our formula will look like this: 7² + 11² = c².

When squaring the two values, you will get a more simplified manner of the equation: 49 + 121 = c².

When we add them altogether, we get 170 = c²

That is not our answer yet, because we want the simplified, and not squared, form as the answer.

In order to do that, we must find the square root of √170, which is 13.0384048104, or just 13 when rounded to the nearest tenth.

So now we know that c², the hypotenuse, is approximately equal to 13.

Just to be sure, plug in all the value into the formula and try again.

Notice: the reason why they are not both is because we rounded 13.0384048104 to 13. But if we square 13.0384048104, we get 170, which is the same value as the one above. Easy, right?

Hope this helps!

Answer:

75 men spent 7 hours or more exercising.

Step-by-step explanation:

If you multiply 300 by 0.67, you get 201. That would be the amount of men.  Multiply 300 by 0.37 to get 111, the amount of people who spent less than 7 hours exercising, and subtract it from the 201 men to get 90. Then, multiply 300 by 0.75 to get 225, the amount of women that spent 7 hours or more exercising, and subtract it from 300, which would result in an answer of 75. That's how many men spent 7 hours or more exercising.

Answer:

4

Step-by-step explanation:

As you can see, 108 divided by 36 is 3

And 36 divided by 12 is 3

So in the geometric sequence, each tern is divided by 3, so that means we divide 12 by 3

12/3 = 4

The next term of the geometric sequence ; 108,36,12,4.

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹.

Given:

The geometric sequence; 108,36,12,....

Common ratio of the geometric sequence,

r = 36/108 = 1/3

The general formula of geometric sequence,

aₙ=a₁(r)ⁿ⁻¹.

a₄=(108)(1/3)⁴⁻¹.

a₄=(108/27)

a₄= 4.

Therefore, the next term is 4.

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The first quartile of the data 33, 25, 42, 25, 31, 37, 46,29,38 is 27.

The first quartile of the data can be found as follows:

Firstly, let's arrange the data in ascending order.

25, 25, 29, 31, 33, 37, 38, 42, 46

Therefore,

Median is the middle number = 33

25, 25, 29, 31

first quartile = 25 + 29 / 2

first quartile = 54 / 2 = 27

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Answer:

x = ± [tex]\sqrt{17}[/tex]

Step-by-step explanation:

Given

ln(x² - 16) = 0, then

x² - 16 = [tex]e^{0}[/tex] = 1 ( add 16 to both sides )

x² = 17 ( take the square root of both sides )

x = ± [tex]\sqrt{17}[/tex]

Answer:

B.

Step-by-step explanation:

x²-16 = 0

Adding 16 to both sides

x² = 16

Taking square root on both sides

we get

√x² = √16

x = ± 4

Either,

x=4        OR             x= -4

Final answer:

To find the total amount due after five years on a loan of $523 with a 9% interest rate, first calculate the simple interest ($235.35) and then add it to the principal to get a total of $758.35.

Explanation:

To calculate the total amount you will have at the end of five years after taking out a loan for $523 at an interest rate of 9%, you need to use the formula for calculating the future value with simple interest: Principal + (principal × rate × time). The principal in this case is $523, the rate is 0.09 (9% expressed as a decimal), and the time is 5 years.

First, we calculate the simple interest: Interest = Principal × rate × time = $523 × 0.09 × 5. This gives us the total interest that will be charged over the five years.

Step 2. Calculate the simple interest: $523 × 0.09 × 5 = $235.35.

Step 3. Calculate the total future amount using the formula: Principal + Interest = $523 + $235.35 = $758.35.

Therefore, the total amount that you will have to pay at the end of the five years is $758.35.

Answer:

C. 6524 x 3/3

Step-by-step explanation:

Simplify:

3/3 = 1

6524 x  1 = 6524 (True).

C. is your answer.

Divide:

1204/14 = 86

86 is your answer.

~

Step-by-step explanation:

A 6524 x 6/3 = 13048

B 6524 x 3/ 3 = 6524

C 6524 x 1/8 = 815.5

D 6524 x 5/2 = 16310

Option B is the correct answer

5 1204 ÷ 14 = 86

Answer:

180 tiles

Step-by-step explanation:

It's easiest to work with only one unit for length and one unit for area. We will work with inches and square inches, and we will convert feet to inches.

An 8-inch square tile is a tile shaped like a square whose side measures 8 inches.

area of square = side^2

area of 1 tile = (8 in.)^2 = 64 in.^2

One 8-inch, square tile has an area of 64 sq in.

Now we need to find the area of the floor in square inches.

1 ft = 12 in.

We multiply each dimension in ft by 12 to find inches.

10 ft = 10 * 12 in. = 120 in.

8 ft = 8 * 12 in. = 96 in.

Now we find the area of the rectangular floor.

area of rectangle = length * width

area of rectangle = 120 in. * 96 in.

area of rectangle = 11,520 sq in.

The rectangular floor has an area of 11,520 sq in.

Each tile has an area of 64 sq in.

To see how many tiles are needed, we divide the area of the floor by the area of one tile.

number of tiles = (11,520 sq in.)/(64 sq in.) = 180

Answer: 180 tiles

Answer:

Data Presentation - Tables

Tables are a useful way to organize information using rows and columns. Tables are a versatile organization tool and can be used to communicate information on their own, or they can be used to accompany another data representation type (like a graph). Tables support a variety of parameters and can be used to keep track of frequencies, variable associations, and more.

For example, given below are the weights of 20 students in grade 10:

50, 45, 48, 39, 40, 48, 54, 50, 48, 48, \\ 50, 39, 41, 46, 44, 43, 54, 57, 60, 45.

50,45,48,39,40,48,54,50,48,48,

50,39,41,46,44,43,54,57,60,45.

To find the frequency of 4848 in this data, count the number of times that 4848 appears in the list. There are 44 students that have this weight.

The list above has information about the weight of 2020 students, and since the data has been arranged haphazardly, it is difficult to classify the students properly.

To make the information more clear, tabulate the given data.

\begin{array}{c}\\ \text{Weights in kg} & & & \text{Frequency} \\ 39 & & & 2 \\ 40 & & & 1 \\ 41 & & & 1 \\ 43 & & & 1 \\ 44 & & & 1 \\ 45 & & & 2 \\ 46 & & & 1 \\ 48 & & & 4 \\ 50 & & & 3 \\ 54 & & & 2 \\ 57 & & & 1 \\ 60 & & & 1 \end{array}

Weights in kg

39

40

41

43

44

45

46

48

50

54

57

60

Frequency

2

1

1

1

1

2

1

4

3

2

1

1

This table makes the data more easy to understand.

Examples of data presentation in math includes: Tables, Bar Graphs, Line Graphs, Pie Charts and Scatter Plots

1. Tables: Tables are used to organize and present data in rows and columns. They are effective for comparing values and showing relationships between different sets of data.

2. Bar Graphs: Bar graphs represent data using rectangular bars of varying lengths or heights. They are useful for comparing quantities across different categories.

3. Line Graphs: Line graphs show data points connected by line segments. They are commonly used to display trends and changes in data over time.

4. Pie Charts: Pie charts represent data as a circle divided into sectors, with each sector representing a proportion of the whole. They are effective for showing proportions and percentages.

5. Scatter Plots: Scatter plots display individual data points on a two-dimensional graph. They are useful for identifying relationships and correlations between two variables.

Answer:

Mikey weighs 110 pounds.

Step-by-step explanation:

Because Mikey weighs 15 pounds more, just add 95 pounds and 15 pounds to get Mikey's weight:

95 + 15 = 110

I hope this helps you!

Please rate my answer and give me Brainliest!

Have a nice day! :)

Answer:

y=-3x+5

Step-by-step explanation:

m= (-10-(-1))/(5-2) = -3

-1 = -3x2 + c

c=5

Answer:

3,000,000

Step-by-step explanation:

Answer:

Time, t = 3.125 s

Step-by-step explanation:

The height attained by the ball after it was kicked is given by as a function of time t as :

[tex]h=-16t^2+50t[/tex]

It is required to find the time until which the ball hits the ground. At that point, h(t) = 0

So,

[tex]-16t^2+50t=0\\\\t(-16t+50)=0\\\\t=0, -16t+50=0\\\\t=0, 3.125\ s[/tex]

So, 3.125 seconds before the ball hit the ground.

Answer:

See the attachment

Step-by-step explanation:

A unit circle is one whose radius is 1

sin(90) will have coordinates (0,1)

sin(40)= 0.643

sin(40)= P/H= 0.643/1

cos(40)= B/H= 0.766

Similarly for cos(245)= cos(-65)= -0.423/1

                      sin(245)= sin(-65)= -0.906

The question involves applying knowledge of the unit circle and trigonometric identities to find the values of sine and cosine for certain angles as well as using the Law of Sines and Law of Cosines in triangle problems.

The question involves finding trigonometric function values using the unit circle. The unit circle is a circle with a radius of 1 unit, centered at the origin of the coordinate system, and is a fundamental tool in trigonometry. The sine and cosine values for certain angles are as follows:

sin(90°) = 1

cos(180°) = -1

sin(40°) = 0.643

cos(245°) = -0.423

Additionally, trigonometric identities like sin(90° – x) = cos x are useful for finding values of sine and cosine for complementary angles. The Law of Sines and the Law of Cosines can help solve for unknowns in triangles when certain side lengths and angles are known.

Answer:

5.75 inches

Step-by-step explanation:

The diagonal will always be larger than the height... I think

Hope this helps?

Answer:

There are 35 possible group of 3 socks from a total of 7

Step-by-step explanation:

Given

Number of unique socks = 7

Number of possible selection = 3

Required

Number of ways she can make her selection.

The question can be categorised as combination; reason being that words like "take" as used in the question points to combination or selection.

To solve this, we make use of combination formula.

nCr = nPr/r!

Where n = 7 and r = 3

By substitution, we have

7C3 = 7P3÷3!

Taking it one at a time

7P3 = 7!÷(7-3)!

7P3 = 7! ÷ 4!

7P3 = 7 * 6 * 5 * 4! ÷ 4!

7P3 = 7 * 6 * 5

7P3 = 210

3! = 3 * 2 * 1

3! = 6.

So,

7C3 = 210 ÷ 6

7C3 = 35.

Hence, there are 35 possible group of 3 socks from a total of 7

Answer:

(5,0) would be the x-intercept while (0,5) would be the y-intercept.

Answer:

X-axis for the 5,0 and y-axis for the 0,5

Step-by-step explanation:

So, you would know the x-axis makes the first number and the y-axis makes the last number

hope this helps :)

Answer:

B. 7 miles

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Functions

Systems of Linear Equations

Step-by-step explanation:

Step 1: Define

Identify given.

[Ralph's Walking Distance Function]: d = -6t + 10

[Joan's Bicycle Distance Function]: d = 14t

Step 2: Find Meeting Point

To find where Joan and Ralph will meet, we need to find where they intersect. Therefore, we need to find the time which they both meet up at. To do this, we can use the process of substitution to find our value of t:

From here, we can simply use techniques listed under "Algebra I" to solve for t:

[tex]\displaystyle\begin{aligned}14t & = -6t + 10 \\20t & = 10 \\t & = \boxed{ \frac{1}{2} } \\\end{aligned}[/tex]

∴ both Joan and Ralph will meet up in half an hour, or 0.5 hours.

Step 3: Find Mileage

To find how many miles they will meet up at, we substitute the number of hours elapsed (found in Step 2) and substitute it into any of the equations given:

[tex]\displaystyle\begin{aligned}d & = 14t \\& = 14 \bigg( \frac{1}{2} \bigg) \\& = \boxed{7} \\\end{aligned}[/tex]

∴ Joan will meet Ralph after 7 miles.

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Topic: Algebra I

The answer is B. 7 miles. Joan and Ralph meet when their distances are equal. By solving the distance equations, we find they meet after 7 miles.

To establish where Joan will meet Ralph, we must find the time when their distances are equal. We equate their distance equations: d = -6t + 10 (Ralph) and d = 14t (Joan).

Set the equations equal to each other:

Combine like terms:

Divide both sides by 20:

Next, we substitute t = 0.5 into either of the original equations to find the distance:

Using Joan's equation: d = 14t

So, the distance at which Joan meets Ralph is 7 miles.

Therefore, the correct answer is B. 7 miles.

Answer:

23.0 =x

Step-by-step explanation:

Assuming this is a right triangle

cos theta = adj/ hypotenuse

cos 23 = x/25

Multiply each side by 25

25 cos 23 = x

23.01262134 =x

To the nearest tenth

23.0 =x

Answer:

B. because an acute is smaller then a right angle which is the opposite of the obtuse angle which is bigger then a right angle.

Step-by-step explanation:

Answer:

the answer is b. hope this helps

The expression 4^{3}+8-\dfrac{9}{y4} can be broken down into different components:

1. 4^{3}: This part represents 4 cubed, which is equal to 4 x 4 x 4 = 64.

2. +8: This is simply the addition of 8 to the previous result, which is 64 + 8 = 72.

3. -\dfrac{9}{y4}:

Here, we have a subtraction and a fraction.

It's important to note that there might be a typo in the expression, and it should perhaps be written as \(\dfrac{9}{y}4\), which would mean 9 divided by y and then multiplied by 4.

If that's the case, the result depends on the value of y.

The expression demonstrates the use of exponentiation, addition, subtraction, and fractions, making it a comprehensive example of various mathematical operations.

In summary, the expression 4^{3}+8-\dfrac{9}{y4} showcases the use of exponentiation, addition, and subtraction, along with a fraction.

It's important to clarify whether the fraction should be interpreted as \(\dfrac{9}{y}4\) or \(\dfrac{9}{y4}\) to determine its exact mathematical meaning and result.

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Answer:

-2, 9

Step-by-step explanation:

Factor this expression:

[tex]x^{2} + 7x - 18[/tex]

We know that we need a factorization that multiplies to -18, and adds up to positive 7. Test all our combinations! Add them together and see if they equal 7.

-18 + 1 = -17 ≠ 7

-1 + 18 =  17 ≠ 7

-9 + 2 =  -7 ≠ 7

-2 + 9 = 7

So we need to use -2 and 9!

[tex](x+9)(x-2)[/tex]

Answer:

Step-by-step explanation:

The aceleration increases

When the velocity of an object changes it is said to be accelerating. Acceleration is the rate of change of velocity with time. ... Acceleration occurs anytime an object's speed increases or decreases, or it changes direction. Much like velocity, there are two kinds of acceleration: average and instantaneous

Answer:

The acceleration increases.

Answer:

Option B, y = 2 Superscript x + 2 Baseline + 3

Step-by-step explanation:

I could be wrong tbh. I graphed it on a graphing website and the graph from B matched up with the graph shown in the question.

Answer:

B

Step-by-step explanation:

I graphed it

Answer:

cube - c

exponential - d

log -a

Step-by-step explanation:

Answer:

74880

Step-by-step explanation:

first you do 8x104 and get 832 and then you do 832x90 and you get 74880.

By performing multiplication, you find that a farm picking approximately 800,000 papayas each day for 90 days in a season would pick around 72,000,000 papayas in total.

The subject of this question is Mathematics, specifically multiplication. To determine the total number of papayas picked in a season, we can multiply the number of picking days in a season by the average number of papayas picked each day. Thus, we need to multiply 90 (the number of picking days in a season) by 8 x 104 (the average number of papayas picked each day). Step-by-step, this process would look like the following:

Therefore, the farm picks approximately 72,000,000 papayas in a season.

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