help 10 points plssssssssss

To isolate f in an equation, we make f the subject of the equation

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

The statement that represents isolating the variable

Take for instance, the equation is

bc + fc = k

To isolate f we make f the subject

So, we have

f = (k - bc)/c

Hence, isolating f means solving for f

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Answer:

1)The equation of the Parallel line is 2x -y -4=0

2) The equation of the perpendicular line of the given line x+2y+8=0

Step-by-step explanation:

Step(i):-

Given function f(x) = 2x+3 and passes through (0,-4)

Let y =f(x) = 2x+3

    y = 2x+3

⇒ 2x -y +3=0

The equation of the parallel line of the given line 2x - y +k =0

This line is passes through the point (0,-4)

⇒ 2 (0) -(-4)+k=0

            4 +k=0

        ⇒    k =-4

The equation of the Parallel line is 2x -y -4=0

2)

Step(ii):-

Given function f(x) = 2x+3

Let y = 2 x + 3

 2x - y +3=0

The equation of the perpendicular line   bx -ay +k=0

The equation of the perpendicular line of the given line -x-2y +k =0

This line is passes through the point (0,-4)

⇒  (0) -2(-4)+k=0

            8 +k=0

        ⇒    k =-8

The equation of the perpendicular line of the given line -x-2y -8 =0

The equation of the perpendicular line of the given line x+2y+8=0

the center is (-7,5) and the radius is 2

Answer:

the answer is c because each input is only allowed 1 output

The time taken before the two automobiles meet is determined as 1.33 hours.

Apply the principle of relative velocity as shown below;

Vat + Vbt = D

(Va + Vb)t = D

where;

(20 + 25)t = 60

45t = 60

t = 60/45

t = 1.33 hours

Thus, the time taken before the two automobiles meet is determined as 1.33 hours.

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From the given numbers, the greatest number is 23 × 10^126

The first number = 23 × 10^126

The second number = 23 × 10^86

The third number = 23 × 10^66

The fourth number = 23 × 10^3

The scientific notation is defined as the easiest method to represents the very smallest or the largest number. The scientific notation consist of a whole number multiplied by the power of ten

Here, the whole number is same in all cases, only the power of the 10 is different . To find the largest number we have to find the number with largest power of 10

The number with largest power of 10 = 23 × 10^126

Hence, the greatest number is 23 × 10^126

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The equivalent expression will be 5(2x - 1)

2(x-6)+ 4(2x+1)+3 will be:

= 2(x-6)+ 4(2x+1)+3

= 2x - 12 + 8x + 4 + 3

= 10x - 5

The equivalent expression is 5(2x - 1)

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

950.33 ft³

Step-by-step explanation:

The volume of a cylinder is denoted by: V = πr²h, where r is the radius and h is the height.

Here, the radius is r = 5.5 ft and the height is h = 10 ft. Plug these into the formula:

V = πr²h

V = π * 5.5² * 10 ≈ 950.33 ft³

The answer is thus 950.33 ft³.

~ an aesthetics lover

Answer:

$1,735.24

Step-by-step explanation:

"at time and a half" basically means 1.5

So, the overtime would be 1.5 times the normal hourly wage.

40 regular hours * $33.37 = $1334.8

8 overtime hours * (1.5 * $33.37) = $400.44

$1334.8 + $400.44 = $1735.24

So, the total weekly pay is $1735.24.

Answer:

twenty six units putfghdjk

Answer:

c

Step-by-step explanation:

The statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

The statement is false. An eigenvector is a non-zero vector that, when multiplied by a matrix, produces a scalar multiple of itself. In other words, if v is an eigenvector of a matrix A, then Av = λv, where λ is the corresponding eigenvalue.

The statement suggests that if a is an nn matrix (presumably an n x n matrix), and a scalar α exists such that αv is an eigenvector of a, then v must also be an eigenvector of a. However, this is not necessarily true.

Let's consider a counterexample to demonstrate this. Suppose we have the 2x2 identity matrix I:

I = [[1, 0],

    [0, 1]]

In this case, any non-zero vector v will satisfy the condition αv = v for α = 1. However, not all non-zero vectors v are eigenvectors of I. In fact, the only eigenvectors of I are [1, 0] and [0, 1] with corresponding eigenvalues of 1.

Therefore, the statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

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Answer:

95xhsshsjsjeeiejjejsjsjsjwnnsnsmsmmwwnsnnsns

Answer:

Step-by-step explanation:

\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)

Answer:

3+13i

Step-by-step explanation:

(10+10i)+(-7+3i)

Combine the real parts

10+-7 = 3

And the imaginary parts

10i +3i = 13i

Combine them to make the complex number

3+13i

Answer:

Explanation:

Answer: not clear

Step-by-step explanation:

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Answer: a

Step-by-step explanation:

substitute the coordinate values for x and y

y<3x+3, (1,-5)

-5<3(1)+3

-5<3+3

-5<6

the coordinate (1,-5) works, so a is the answer

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Answer:

Step-by-step explanation:

    1/4                     ( x+10)                   =                x -4

one fourth the sum of x and 10 is identical to x minus 4

Answer: 1 L = 0.001 m³

Step-by-step explanation:

1m³ =1000 L

0.001 m³ = 1 L

The test statistic is negative, we can conclude that the sample mean is less than the claimed value of 36. However, we cannot make a decision without knowing the critical value.

Hypothesis testing is used to determine whether there is enough statistical evidence to support or reject a claim made about a population parameter. When carrying out hypothesis testing, we make use of a test statistic and a critical value to make a decision. The test statistic is obtained from the sample data while the critical value is obtained from a statistical table based on the significance level and the degree of freedom.

In the scenario presented, we are interested in determining whether a company's claim that the average value of 36 is correct or not. In order to do this, we carry out a hypothesis test.

The null hypothesis is the claim made by the company, that the average value of 36 is correct. The alternative hypothesis is the opposite of the null hypothesis, which in this case is that the average value of 36 is not correct.

H0: μ = 36
H1: μ ≠ 36

We are not told the sample size, the significance level or the degree of freedom, which are all required to determine the critical value for the test. However, we are given the test statistic which is -1.67. We can use this value to make a decision.

If the test statistic is less than the critical value, we fail to reject the null hypothesis. If the test statistic is greater than the critical value, we reject the null hypothesis.

Since the test statistic is negative, we can conclude that the sample mean is less than the claimed value of 36. However, we cannot make a decision without knowing the critical value.

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The volume of the solid formed by revolving the region about the x-axis is 11200/3 √2π.

An integral is the continuous equivalent of a sum in mathematics, where sums are used to compute areas, volumes, and their generalisations. One of the two basic operations in calculus, along with differentiation, is integration, which is the process of computing an integral.

Let R be the region bounded by given curves

The intersection of curves is

\(10 = 20-\frac{x^2}{20}\)

x² = 200

x = ±10√2.

Cross sectional area pf solid

\(A(x) = \pi[(20-\frac{x^2}{20} )^2-10^2]\)

Volume = ∫ A(x) dx               ; a ≤ x ≤ b

\(V = \int {\pi[(20-\frac{x^2}{20} )^2-10^2]} \, dx \\\\= 2\pi[\frac{x^4}{400} -2x^2+300]\\\\= 2\pi[\frac{(10\sqrt{2} )^5}{2000}-\frac{2(10\sqrt{2} )^3}{3}+3000\sqrt{2}-0]\\ \\ 2\pi\sqrt{2} [\frac{600-4000+9000}{3}] \\\\= \frac{11200}{3} \sqrt{2} \pi\)

The volume of the solid formed by the region is 11200/3 √2π.

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Answer:

AIB = 105°

BIC = 130°

CIA = 125°

Step-by-step explanation:

Шаг 1

Находим Угол C

В приведенном выше вопросе нам говорят

Угол A = 80 °

Угол B = 70 °

Сумма углов в треугольнике = 180 °

Угол C = 180 ° - (80 ° + 70 °)

= 180 ° - 150 °

= 30 °

Шаг 2

ABI = ∠IBC = 1/2 ∠B

1/2 × 70 ° = 35 °

∠IAC = ∠BAI = 1/2 ∠A

= 1/2 × 80 ° = 40 °

∠ICB = ∠ACI = 1/2 ∠C

= 1/2 × 30 ° = 15 °

Помните, что сумма углов в треугольнике = 180 °.

∠CIA = 180 ° - ∠IAC - ∠ACI

= 180 ° - 40 ° - 15 °

= 180 ° - 55 °

= 125 °

∠BIC = 180 ° - ∠ICB - ∠IBC

= 180 ° - 15 ° -35 °

= 180 ° - 50 °

= 130 °

∠AIB = 180° - ∠ABI - ∠BIA

=180° - 35° - 40°

=180° - 75°

=105°

The median number of free throws made is 5.5.

To find the median, we first need to arrange the number of free throws made in order from lowest to highest:

3, 4, 5, 5, 5, 6, 6, 7, 8, 9

There are 10 numbers in the list, so the median is the average of the fifth and sixth numbers.

(5 + 6) ÷ 2 = 5.5

Therefore, the median number of free throws made is 5.5.

The median is a measure of central tendency that is used to describe the middle value or values of a dataset. It is especially useful when dealing with datasets that have extreme values or outliers, which can skew the mean.

The median is found by ordering the values in the dataset from lowest to highest and then finding the middle value(s). If there are an even number of values, the median is the average of the two middle values.

In this case, there were an even number of values, so we took the average of the fifth and sixth numbers to find the median.

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Step-by-step explanation:

perimeter (find by adding each side) = 8a + 5a + 7a-6

combine like terms to simplify

perimeter = 20a - 6