Subtract 8 - 3 5/8 Simplify the answer and write as a mixed number.

Answer:

x = 10

Explanation:

Using Pythagoras Theorem:

Solve:

8² + 6² = x²

x² = 64 + 36

x² = 100

x = √100

x = 10

10

Pythagoras theorem

(a² + b² = c²)

Let ,

a = 8

b = 6

c = x

Using Pythagoras theorem,

=> 8² + 6² = x²

=> x² = 64 + 36

=> x² = 100

=> x = √100

=> x = 10

Hence, the length of x is 10.

B. 9.1 because |-9.1| = 9.1

Magnitude of -9.1 is 9.1

Magnitude of a number

A magnitude is the measurement or absolute value of a quantity. A magnitude is represented by a positive real number. Put simply, a magnitude is the size of some quantity. For example, the magnitude of an earthquake, measured on the Richter scale, usually varies between 1 and 10 and represents the size of the earthquake. An earthquake with a magnitude of 8 is much more trouble than an earthquake with a magnitude of 3.

The magnitude of a negative number, say -6? It is (positive) 6. Magnitudes cannot be negative. Consider the idea of a magnitude as a measure of size: there doesn't seem to be a coherent idea of negative size. To make sense of this is to understand that -6 is greater in magnitude than -5 even though -6 is a lower number. For negative numbers the order of magnitude is reversed, just as one counts in the opposite direction on the number line for negative numbers.

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Answer:

(x - 3)² + (y + 9)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given area = 25π , that is

πr² = 25π ( divide both sides by π )

r² = 25 ( take the square root of both sides )

r = \(\sqrt{25}\) = 5

With centre (h, k) = (3, - 9 ) and r = 5 , then

(x - 3)² + (y - (- 9) )² = 5² , that is

(x - 3)² + (y + 9)² = 25

Answer:

hiiiiiiiiiiiii

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A matched subject design makes use of different sets of  experimental groups for a treatment. then, each test subject in one group is matched with another equivalent subject in another group.

the advantage of this is that it reduces the error of variance

The boxplot tells us that the data for teachers in London is somewhat spread out, but there are more lower responses than higher responses.

Looking at the boxplot, we can see that the median (the line inside the box) is slightly to the left of the center of the box, and the box itself is slightly shifted to the left. Additionally, the right whisker is longer than the left whisker, indicating that there are some values on the right side that are further away from the median than the values on the left side.

These observations suggest that the data is slightly skewed to the left. This means that there are more responses that are lower than the median compared to responses that are higher than the median.

Furthermore, since the right whisker is longer, this indicates that there are some responses that are much higher than the median, which could be considered outliers.

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The given question is incomplete, the complete question is:

Use the boxplot for the responses from the teachers in London to say whether the data are symmetric or skewed. If the data are skewed, then state whether they are skewed to the left or skewed to the right. What does this tell you about how the data are spread in the dataset for teachers in London?

In the context of Range Safety and Risk Mitigation, the ability to detect, assess, and respond to potential hazards is essential.

Range safety and risk mitigation involve identifying and minimizing potential hazards associated with range operations, such as the launch or test of rockets, missiles, or unmanned aerial vehicles. To ensure safety, it is critical to have the ability to detect and assess potential hazards, such as debris, vehicle or equipment malfunctions, and human error. Once hazards have been identified and assessed, the next step is to develop and implement appropriate safety measures to mitigate the risk associated with those hazards. These measures may include the use of safety protocols, engineering controls, or administrative procedures to ensure that all personnel and equipment are protected. In summary, the ability to detect, assess, and respond to potential hazards is critical for effective range safety and risk mitigation. By implementing appropriate safety measures and protocols, the risks associated with range operations can be minimized, ensuring the safety of personnel and equipment.

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Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

a. Calculate the expected arrival time:

Given: Time range for arrival of elevator during the next 4.7 minutes is equally likely. The expected value of a discrete random variable is calculated by multiplying each possible value by its probability and adding up the products. So, we can calculate the expected value of the elevator arrival time by integrating the value of the probability density function (which is a straight line in this case) over the given interval. The area under the curve of the probability density function over the entire interval of possible values is 1. The expected arrival time (E) of the elevator is given by: E = (1/4.7) ∫(0 to 4.7) tdt= (1/4.7) [t²/2] [from 0 to 4.7]= 2.3596 minutes or 2.36 minutes (rounded to 2 decimal places)Therefore, the expected arrival time is 2.36 minutes.

b. Probability that an elevator arrives in less than 1.8 minutes:

To calculate the probability of an event happening, we need to find the area under the probability density function (pdf) over the given interval (in this case, less than 1.8 minutes). The pdf is a straight line with a slope of 1/4.7, so the equation of the line is: f(t) = (1/4.7) t. The probability of the elevator arriving in less than 1.8 minutes is: P(T < 1.8) = ∫(0 to 1.8) f(t) dt= ∫(0 to 1.8) (1/4.7) t dt= (1/4.7) [t²/2] [from 0 to 1.8]= 0.56765 (rounded to 4 decimal places)Therefore, the probability that an elevator arrives in less than 1.8 minutes is 0.568 (rounded to 3 decimal places).

c. Probability that the wait for an elevator is more than 1.8 minutes: The probability that the wait for an elevator is more than 1.8 minutes is the complement of the probability that it arrives in less than 1.8 minutes. P(T > 1.8) = 1 - P(T < 1.8) = 1 - 0.56765= 0.43235 (rounded to 3 decimal places)Therefore, the probability that the wait for an elevator is more than 1.8 minutes is 0.432 (rounded to 3 decimal places).

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Answer:

105

Step-by-step explanation:

You need to find the unit rate which is 10.50$. Then you would multiply it by 10.

There are 56 different ways to choose 5 books from this collection.

In this case, we have 8 subjects from which we need to choose 5 books. Since there are at least 5 copies of each book, we can assume that we have enough copies of each subject to choose from. The formula for combinations is nCr = n! / (r!(n-r)!), where n represents the total number of subjects and r represents the number of books to be chosen.  

In our case, n = 8 and r = 5.

Plugging these values into the formula, we get 8! / (5!(8-5)!) = 8! / (5!3!).

Simplifying further, we get (8 * 7 * 6) / (3 * 2 * 1) = 56.

Therefore, there are 56 different ways to choose 5 books from this collection.

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Answer:

x= -3

Step-by-step explanation:

3(x-4)= -21

x - 4 = -7( to get this divide both sides of the equation by 3 )

x = -7 + 4 ( add 4 to both sides of the equation)

x = -3 ( then add -7 and 4 to get -3)

So clearly x = -3

HOPE THIS HELPED

Answer:

(-2)(4)

Step-by-step explanation:

(-2)(4) because we made four ”steps” of the lenght of two on the left

To find the rate at which the radius of the oil spill is increasing when the area is 7 mi^2, dr/dt ≈ 0.203 mi/hr the area of the spill is 7 mi^2, dr/dt ≈ 0.203 mi/hr the radius is increasing at a rate of 0.203 mi/hr.

Where A is area and r is the radius. Taking the derivative of both sides with respect to time, we can express the rate of change of the area as dA/dt = 2πr(dr/dt). Given that dA/dt is constant at 8.5 mi^2/hr, we can substitute the values to find the rate at which the radius is increasing.

We have the equation dA/dt = 2πr(dr/dt), where dA/dt represents the rate of change of the area, r is the radius, and dr/dt is the rate at which the radius is changing. We are given that dA/dt is constant at 8.5 mi^2/hr. When the area is 7 mi^2, we can substitute these values into the equation: 8.5 = 2π(7)(dr/dt)

Simplifying the equation, we can solve for dr/dt: dr/dt = 8.5 / (2π(7)) Evaluating the expression, we find: dr/dt ≈ 0.203 mi/hr

Therefore, when the area of the spill is 7 mi^2, the radius is increasing at a rate of approximately 0.203 mi/hr.

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Answer:

16^10, 4^20 y 2^40

Step-by-step explanation:

Para expresar el producto

16^7 ×16^3  16 ^7 ×16^3

como una potencia de 16, podemos sumar los exponentes y mantener la base:

16^7 × 16^3 = 16^7 + 3=16^10  16^7 ×16^3  =16^7+3  =16 ^10

Para expresar el resultado como una potencia de 4, podemos utilizar la relación

16

=

4

2

16=4

2

:

1

6

10

=

(

4

2

)

10

=

4

2

×

10

=

4

20

16

10

=(4

2

)

10

=4

2×10

=4

20

Finalmente, para expresar el resultado como una potencia de 2, utilizamos la relación

4

=

2

2

4=2

2

:

4

20

=

(

2

2

)

20

=

2

2

×

20

=

2

40

4

20

=(2

2

)

20

=2

2×20

=2

40

Por lo tanto, el producto

1

6

7

×

1

6

3

16

7

×16

3

 puede ser expresado como

1

6

10

16

10

,

4

20

4

20

 y

2

40

2

40

.

Answer:

I hope it will help you dear

Answer: 1/50? I'm not 100% sure...Sorry..

Answer:

y= -2x + 5

Step-by-step explanation:

Parallel equations share the same slope so, you need to take the x coordinate and multiply it by the slope which is -2, and you should get 0. To get from 0 to 5 we need to add 5, so 5 is your y-intercept.

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

16 x 3/2 = 24

24 x 3/2 = 36

36 x 3/2 = 54

The graph of g is Transformation up 7 units.

what is Transformation?

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

solution:

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

g(x) = f(x) + k

Also, we have the value of k to be

k = 7

From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units

This means that

g(x) = f(x) + k

So, we have

g(x) = f(x) + 7

Hence, the transformation is (a) translated up 7 units

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Answer:

First graph option: A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and through the x-axis at 6. The other line passes through the y axis at negative 3 and the x-axis at 1.5. The lines intersect at point 3 commas 3.

Step-by-step explanation:

i)  y=-x+6

ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

i)  y=-3+6=3

ii) y=2(3)-3=6-3=3  

In graphs, this means that the lines intersect at (3, 3) ONLY

Answer: The graph where the lines intersect at (3, 3)

its a

I got it right om my exam

Answers: 5 mph East and 50 mph South

Reason

A velocity has two components: A speed and a direction.

The total area of the US is equal to 3,537,438 square miles.

An equation is an expression shows the relationship between two or more numbers and variables.

A equation is a statement with two equal sides and an equal sign in between. An equation is, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that the total land area of the United States is about 3,483,511 square miles more than the total land area of Tennessee, is about 53,927 square miles.  

We need to write and solve an equation to find the total land area of the United States.

Now, according to the given information,  

Total land area of the United States is 3,483,511 square miles more than the total land area of Tennessee, is 53,927 square miles  

Total land area = 3,483,511 + 53,927

= 3,537,438

Hence, the total area of the US =  3,537,438 square miles.

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Answer:

A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?

Answer:

is -6x to the 33'd power tims 3 - 1.       3−2x33(3)−1

Step-by-step explanation:

The inverse of the function f(x) = 2x+1 is (x-1)/2.

The output of a function is returned by the inverse function, which also returns the initial value. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse.

Given;

Function, f(x) = 2x + 1.

To find the inverse of the function:

First, let y = f(x)

That is,

y = 2x +1

Then, make x the subject of the equation

y = 2x + 1

To make x the subject of this equation:

First, subtract 1 from both sides

We get

y -1 = 2x

Now, divide both sides by 2.

x = (y-1)/2

Now, rewrite as f⁻¹(x) by replacing y by x.

That is,

f⁻¹(x)  =  (x-1)/2

Therefore, the inverse of the function f(x) is (x-1)/2.

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A random variable is a variable whose value is unknown or a function that assigns values to each of an experiment's outcomes.

A random variable is a variable whose values are determined by chance. A random variable is a function that associates a real number with each element in the sample space. The value in this box depends on chance and can be any of the values possible.

A continuous variable is a variable whose value is obtained by measuring. Examples: height of students in class. weight of students in class. time it takes to get to school. distance traveled between classes.

A random variable, usually written X, is a variable whose possible values are numerical outcomes of a random phenomenon. There are two types of random variables, discrete and continuous.

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Answer:

A) 30°

Step-by-step explanation:

All triangles angles add always to 180°, so we have two already 75° + 75° = 150° thus the angle is 30°

Answer:

m Is 30

Step-by-step explanation:

m is 30

because....the sum of angles in a triangle is 180

75+75+m =180

150+m=180

make m the subject of the formula

m=180-150

m=30

Answer:

\(x = \sqrt{2} - 8\\x = -\sqrt{2} - 8\)

Step-by-step explanation:

To complete the square, we first have to get our equation into \(ax^2 + bx = c\) form.

First we add 16x to both sides:

\(x^2 + 16x + 62 = 0\)

And now we subtract 62 from both sides.

\(x^2 + 16x = -62\)

We now have to add \((\frac{b}{2})^2\) to both sides of the equation. b is 16, so this value becomes \((16\div2)^2 = 8^2 = 64\).

\(x^2 + 16x + 64 = -62+64\)

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because \(8\cdot8=64\) and \(8+8=16\).

\((x+8)^2 = -62 + 64\)

We can now take the square root of both sides.

\(x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}\)

We can now isolate x on one side by subtracting 8 from both sides.

\(x = \pm\sqrt{2} - 8\)

So our solutions are

\(x = \sqrt{2} - 8\\x = -\sqrt{2} - 8\)

Hope this helped!

Jasmijn will charge a total of 44 times the amount of the individual services she provides: nail clipping, washing, and hair cutting.

Jasmijn will charge a total of 44 times the amount of the individual services she provides: nail clipping (n), washing (ww), and hair cutting (hh). To calculate the total amount that Jasmijn will charge for grooming all 44 dogs, we can use any of the expressions described above. For example, using the first expression, we can multiply 44 by the cost of nail clipping (n) plus the cost of washing (ww) plus the cost of hair cutting (hh). This gives us the expression 44n + 44ww + 44hh. We can then substitute in the actual values for n, ww, and hh to get the total amount that Jasmijn will charge for grooming all 44 dogs.

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The width of the plainfield is 56 yards, and the length is 216 yards.

Let's start by defining the variables we'll need to solve the problem. We'll use "P" to represent the perimeter of the plainfield, "l" to represent the length of the field, and "w" to represent the width of the field.

From the problem statement, we know that the perimeter of the plainfield is 544 yards, so we can write:

P = 544

The perimeter of a rectangle is given by the formula P = 2(l + w), so we can substitute our variables and get:

2(l + w) = 544

Simplifying this expression, we get:

l + w = 272

Now we need to use the information given about the relationship between the length and width of the field to write an equation that relates the two variables. We know that the length is 8 yards less than a quadruple of the width, so we can write:

l = 4w - 8

We can substitute this expression for "l" in the equation we derived earlier:

l + w = 272

(4w - 8) + w = 272

5w - 8 = 272

5w = 280

w = 56

So the width of the field is 56 yards. We can use the equation we derived earlier to find the length:

l = 4w - 8

l = 4(56) - 8

l = 216

So the length of the field is 216 yards.

Therefore, the width of the plainfield is 56 yards, and the length is 216 yards.

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