Use the following function rule to find f(1). f(x) = 9(2)X + 9 f(1) =Please Help I need to get an 80 I have more questions.

Answer:

125/2

Step-by-step explanation:

62 * 2 = 124

124 1/2 = 124 + 1 = 125/2

Answer:125/2

Step-by-step explanation:

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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Answer:

Its A

Step-by-step explanation:

Have a nice day

Answer:

Option A

Step-by-step explanation:

Mean value for the given data is 8.129, median = 7.7, Standard deviation is 1.699, Probability for MPa value greater than 10 is 0.148 and Coefficient of variation = 20.9

a) To estimate the mean value, we have to calculate all the observations and divide it by number of observations.

  x = ∑ xi / n = 219.5/27 = 8.129

So here the estimator used is x

b) To estimate the strength value or to separate weakest 50% from strongest 50%, we have to calculate the median. For that we have to arrange in ascending order and find the middle most term.

Since  n is odd, middle term is (n+1)/2 th term = (27+1)/2 = 28/2 = 14th term. Ascending order is given as image. the 14th term is 7.7.

c) Next we have to calculate standard deviation

 σ =  √(∑xi² - (∑x)²/n)/(n-1) = [1859.53 - (219.5²/27)] /(27-1)

                                          = (1859.53- 1784.454) / 26

                                         = 1.699

d) We have to calculate the probability flexural strength greater than 10. Here there are 4 values above 10.

So, p = 4/27 = 0.148

e) Coefficient of variation = (σ/x) ×100

                                           = \(\frac{1.699}{8.129} * 100\)

                                            = 20.9

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Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

Answer:

B.50

Step-by-step explanation:

The two angles form a right angle ( indicated by the little square )

Right angles have a measure of 90 degrees

Hence, x + 10 + 30 = 90

( Note that we just created an equation that we can use to solve for x )

We now solve for x using the equation we created

x + 10 + 30 = 90

Combine like terms

x + 40 = 90

Subtract 40 from both sides

x = 50

Answer:

That's weird he would definitely have to be a genius to start high school at 7.

Answer: 97908.54

Steps:

7/100 * 105,278

7369.46

105,278-7369.46

97908.54

Brainliest pls if I am correct!

Answer:

3/8

Step-by-step explanation:

1/2*3/4

is

(1*3)/(2*4)

So it's 3/8

Answer:

Here,

a=\( \frac{1}{2} \)

b=\( \frac{3}{4} \)

Now,

\(ab \\ = \frac{1}{2} \times \frac{3}{4} \\ = \frac{3}{8} \)

The value of x from the given expression is negative start fraction 17 over 3 end fraction

The given proportion is as follows;

x+1/x-1 = 14/20

we have to cross multiply

20(x + 1) = 14(x - 1)

open the brackets

20x + 20 = 14x  - 14

subtract 14x from both sides

20x - 14x + 20 = 14x - 14x  - 14

6x + 20 = -14

subtract 20 from both sides

6x + 20 - 20 = -14 - 20

6x = -34

divide both sides by 6

6x / 6 = -34 / 6

x = - 17 / 3

Hence the value of x from the given expression is negative start fraction 17 over 3 end fraction

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Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

g(6) = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(n) = n + 2

g(6) is n = 2

Step 2: Evaluate

An orthonormal basis for the -eigenspace of \(\pi\)2 is

B1=(V3=\(\left[\begin{array}{ccc}1/\sqrt{3}\\1\sqrt{3}\\1/\sqrt{3} \end{array}\right]\)

What is Spectral Theorem?

There exists an invertible matrix C such that C 1 M C C-1 MC C1MC is a diagonal matrix, according to the spectral theorem, which asserts that if M equals the transpose of M, then M is diagonalizable.

Concept of theorem

If A is a symmetric matrix, then eigenvectors of different eigenvalues are orthogonal

here if v3 is an eigenvectors for eigenvalues \(\pi\)2 of matrix A,then by spectral theorem we have

v1.v3=0

-2x+0y+2z=0 ------------(1)

and v2.v3=0

-2x+y+z=0 ------------(2)

To find v3 we have solve system

-2x+0y+2z=0

-2x+y+z=0

\(\left[\begin{array}{ccc}-2&0&-1\\-2&1&1\end{array}\right]\) \(\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\) = \(\left[\begin{array}{ccc}0\\0\\\end{array}\right]\)

Applying R1 = -1/2 X R1

               R2= R2+2 X R2 We get

\(\left[\begin{array}{ccc}1&0&-1\\0&1&-1\\\end{array}\right]\)\(\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\) = \(\left[\begin{array}{ccc}0\\0\\\end{array}\right]\)

x-z=0

y-z=0

put z=t

x=t

y=t

\(\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\)=\(\left[\begin{array}{ccc}t\\t\\t\end{array}\right]\)=t\(\left[\begin{array}{ccc}1\\1\\1\end{array}\right]\)

thus eigenvector for eigenvalue \(\pi\)2 is v3=\(\left[\begin{array}{ccc}1\\1\\1\end{array}\right]\)

and basis for eigenspace of \(\pi \\\)2 is B=\(\left[\begin{array}{ccc}1\\1\\1\end{array}\right]\)

Next we will convert v3 into a unit vector

for this v3=\(\sqrt{(1.1)+(1.1)+(1.1)}\) = \(\sqrt{v3.v3}\)

v3=\(\sqrt{3}\)

v3= v3/v3 =1/\(\sqrt{3}\) (1   1   1)

an orthonormal basis for the -eigenspace is B1 = V3=\(\left[\begin{array}{ccc}1/\sqrt{3} \\1/\sqrt{3} \\1/\sqrt{3} \end{array}\right]\)

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Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

Answer:

2 hours = 8 miles

1 hour = 4 miles

7 hours = 28 miles

Answer:

28 miles

Step-by-step explanation:

trust me

The area of the rectangular garden is equal to the length times the width.

Using the variables given, we have:

Area = (3z-4)(2x-5)

= 6xz - 15z - 8x + 20

We can simplify this expression by factoring out a common factor of 2:

Area = 2(3xz - 4x - 5z + 10)

None of the answer choices match this expression, so we can simplify it further:

Area = 6xz - 8x - 15z + 20

Now we can match this expression with one of the answer choices:

A: 5x-9

6xz ≠ 5x, -15z ≠ -9. So, this is not the correct answer.

B: 6x+20

6xz ≠ 6x, -15z ≠ 20. So, this is not the correct answer.

C: 6x^2-23x+20

This is not a quadratic expression, so it is also not the correct answer.

D: 6x^2-14x-9

This matches the expression we simplified earlier, so the answer is D.

Therefore, the correct answer is D: 6x^2-14x-9.

Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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The measure of angle POQ is given as follows:

30º.

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

The radius of the circle in this problem is given as follows:

r = OP = 2.

(distance of the center O to point P on the circumference).

Hence the area of the circle is given as follows:

A = 4π.

The area of the sector is given as follows:

π/3.

The ratio of the area of the sector and the area of the circumference is given as follows:

(π/3)/(4π) = 1/12.

The entire area has a measure of 360º, hence the angle measure is obtained as follows:

1/12 x 360 = 30º.

The problem is given by the image presented at the end of the answer.

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Answer:

The boat weighs 5000 pounds

Southeast Washington State has a long history of seasonal dust storms. In October 1991, levels of dust particles in the air were six times greater than the Environmental Protection Agency's standard.

Several researchers conducted studies at three community hospitals to examine the relationship between the amount of dust particles in the air during the storms and the number of emergency room visits for respiratory disorders. Using the methods of correlation and regression, they were able to determine the effect of these dust storms on local residents.

In this module, you will write a short statistical report based on your linear regression analysis of data collected for two interesting variables that you believe could be linearly correlated. Your report should be supported by a scatter plot of the data and a least squares regression line.

To begin, you should collect your own data or use data that has already been collected. You may find data in the exercises at the end of sections 10.2 and 10.3 of your course text. Use at least 5 pairs of data.

Once you have collected your data, you should create a scatter plot of the data and a least squares regression line. You should also calculate the correlation coefficient and the equation of the regression line.

In your report, you should discuss the relationship between the two variables and the strength of the correlation. You should also discuss the equation of the regression line and how it can be used to make predictions.

Finally, you should conclude your report by discussing the implications of your findings and any limitations of your study.

Overall, your statistical report should be factually accurate, professional, and concise. You should also be sure to cite any sources that you use in your report.

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Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

<95141404393>

The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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Answer: y= -2/3 x + 1/3

Step-by-step explanation:

The first thing you need to do is but it into standard y = mx + b form, where m is the slope of the line and b is the y-intercept. Using algebra, we can turn 3y + 2x = 1 into y = -2/3x + 1/3. the slope is -2/3 which means you start at the y-intercept (0,1/3) and go down 2 and to the right 3. Putting it on paper or in a graphing simulator will give you this line. The point on the y-axis is the y-intercept and the point on the x-axis is the x-intercept.

Answer:

make 3y subjet of the fomulae then subtract 2x then divide by 3 both sides then the ans will be y= -2x+1/3

Explanation

For the given question:

Question 4

The area of the trapezoid is 150 square meters

The bases are 14 meters and 16 meters

The height of the trapezoid will be obtained using the formula

Substituting these values into the formula , we will obtain

To get h, we will divide both sides by 15

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61