16. Find the distance between points (-3,0) and (8,- 6)

The y-intercept of a function is the value of y when x = 0, which is represented as the value of b in the slope-intercept equation y = mx + b. b is the y-intercept.

If an equation of graph that represents a function is given in slope-intercept form as y = mx + b, the value of b in the function is the value of the y-intercept of the y-intercept.

The y-intercept of the function is the same as the value of y when the value of x is 0, or the point where the line of the function intercepts the y-axis on a given graph that represents the function.

For example, if we are given the equation of a graph that represents a function as, y = 3x + 4, the y-intercept of the function would be 4.

In summary, the y-intercept of the function is the value of b in the equation of the function that is expressed as y = mx + b in slope-intercept form.

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Answer:

hello your question is incomplete attached below is the complete question

Answer :

products : \(\frac{7H}{17} units\)

machinery : \(\frac{H}{17} units\)

households : H units

Step-by-step explanation:

attached below is the remaining part of the detailed solution

products : \(\frac{7H}{17} units\)

machinery : \(\frac{H}{17} units\)

households : H units

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

An average chicken breast weighs 174 g, or about 6 ounces (oz). But sizes vary from smaller cuts at around 4 oz, to larger ones at 8 to 10 oz. There's no right or wrong choice here. It really depends on what you're cooking and how much chicken you want.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3x+4y)(x+y)

Solution=3x^2+4xy+3xy+4y^2

=3x^2+7xy+4y^2

Answer:

Step-by-step explanation:

2x > 10       Divide by 2

2x/2 >10/2

x > 5

x cannot be 5 or anything smaller.

In English, x >5 reads as x must be greater than 5. (It can't be equal to 5 because 5 is not greater than 5)

The only two items that work are

8 which is greater than 5 and

30 which is also greater than 5

Answer:

Ten miles

Step-by-step explanation:

Use this inequality

20 + 3m = 5m

Answer:

300 in²

Step-by-step explanation:

Hello!

Because the diagonal forms right triangles, we can use the Pythagorean Theorem to find the missing length of the rectangle.

a² + b² = c²

In this case, 25 is c, and 15 is a. We can solve for b using the formula.

So the missing length of the rectangle is 20. We can find the area by multiplying 15 and 20

The area is 300 in².

Answer: 3x - 2

Step-by-step explanation:

First to solve this, we need to know some basic information such as:

1. (-) × (-) = +

2. (+) × (-) = -

3. (+) × (+) = +

Therefore, 6x-(3x+2)​

= 6x - 3x - 2

= 3x - 2

The answer to the question after removing the bracket will be 3x - 2.

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

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The computer can occupy a maximum of 1200 bytes of memory.

To determine the maximum memory capacity of a computer that can execute 300 instructions, we need to consider the representation of integers and the storage requirements for instructions.

If each instruction is stored in the entire memory word, it implies that each instruction occupies one memory word. Therefore, the number of instructions executed (300) directly corresponds to the number of memory words required.

The memory capacity of a computer is typically measured in bytes. However, since we are assuming each instruction occupies one memory word, we can consider the memory capacity in terms of memory words.

Hence, the maximum memory capacity this computer can occupy would be 300 memory words.

To convert this capacity into bytes, we need to know the size of a memory word. If we assume the computer uses a 32-bit word size, which is common in many systems, each memory word would consist of 4 bytes (32 bits / 8 bits per byte). Therefore, the maximum memory capacity in bytes would be:

300 memory words * 4 bytes per word = 1200 bytes.

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Answer:

number7 9452.425 and number 4 2 hrs

Step-by-step explanation:

85+15 is 100 so to get one hundred percent you alr have 85 but you need to find 15

find what 30percent of 400 it is 120 if hes going 60 mph:

120/60 is 2

so it took him 2 hrs

Answer:

Step-by-step explanation:

Answer:

10^4

what grade are you in

lol

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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Answer:

\(3x^2-x-10\)

Step-by-step explanation:

This equation cannot be simplified by much, so, the final answer is still an equation, \(3x^2-x-10\).

Hope this helped! :)

Answer:

Here,

(3x+5)(x-2)

=3x^2-6x+5x-10

=3x^2-x-10

=3x^2-6x+5x-10

=3x(x-2)+5(x-2)

=(3x+5)(x-2)

The triangle given is a scalene acute triangle

A triangle can be classified based on the measures of its angles and the lengths of its sides.

In this case, the angle measures of the triangle are 82, 75, and 23 degrees. Since the sum of the angles in a triangle is always 180 degrees, we can verify that these angles satisfy this condition: 82 + 75 + 23 = 180.

The triangle is not an equilateral triangle because all the sides are not of equal length.

The triangle also doesn't have one right angle so it can't be right triangle.

Now, as per the angle measures, none of the angles are right angles, but one angle is greater than 90 degree, so this triangle is not acute triangle.

So, this triangle is not an Obtuse triangle since it has no angle greater than 90 degrees.

As the triangle has no sides of equal length, it is also a Scalene triangle.

Therefore, the triangle would be classified as a Scalene acute triangle (c).

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Based on what we know a function to be today, Euler mean an analytic expression "an expression formed from operations such as addition, multiplication, powers, and roots"

According to Euler, a function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities.”

The function is. combination of expression which includes variables and constants using various operations such as roots, power and multiplication.

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Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this question, firstly we calculating the \(\bar{x} \ \ and \ \ s\)

\(\bar{x}=11.89 \\\\s = 2.52\\\\n = 9\\\\\alpha=0.05\\\)

\(H_0 : u \leq 10\\\\ H_1 : u > 10\)

It is an upper test  and testing the statistics:

\(t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}\\\\t=\frac{11.89-10 }{\frac{2.52}{\sqrt{9}}}\\\\t=2.25\\\\\)

So, the test statistics \(t=2.25\)

\(\alpha=0.05 \\\\ d.f = n-1\\\\\)

     \(=9-1\\\\=8\)

critical value =2.306 ( using t-table ) \(critical\ value >\ test\ statistics , \ Fail\ to\ Reject\ H_0\)

Decision: We should not reject the null hypothesis.

The equation is  x + y=z. X represents the number of hours for tutoring, and Y represents the total cost for the tutoring session. The equation does not represent direct variation, as the hourly rate is a fixed rate, not a variable rate.

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Which statement best reflects the solution(s) of the equation?

\( \small \sqrt{2x - 1} - x + 2 = 0\)

There is only one solution: x = 5 .

The solution x = 1 is an extraneous solution.

\( \small \sqrt{2x - 1} - x + 2 = 0\)

\( \small \sqrt{2x - 1} = x - 2 \)

\( \small 2x - 1 = {(x - 2 )}^{2} \)

\( \small 2x - 1 = {x}^{2} - 2 \times x \times 2 + {2}^{2} \)

\( \small 2x - 1 = {x}^{2} - 4x + 4\)

\( \small {x}^{2} - 4x - 2x + 4 + 1 = 0\: \)

\( \small {x}^{2} - 6x + 5 = 0\: \)

\( \small {x}^{2} - 5x - x+ 5 = 0\: \)

\( \small x(x- 5) - (x - 5 )= 0\: \)

\( \small (x- 1)(x - 5 )\)

so the root would either be 5 or 1

_____________________________________

putting the value of x as 1,

\( \small \sqrt{2 \times 1 - 1} - 1 + 2 = 0\)

\( \small 1 - 1 + 2 = 0\)

\( \small 3 - 1≠ 0\)

hence , it's not the true solution of the equation

_____________________________________

putting the value of x as 5,

\( \small \sqrt{2 \times 5 - 1} - 5 + 2 = 0\)

\( \small 3 - 5 + 2 = 0\)

\( \small 5 - 5 = 0\)

\( \small 0 = 0\)

hence ,it's the true solution of the equation

Let's solve

\(\\ \rm\rightarrowtail \sqrt{2x-1}-x+2=0\)

\(\\ \rm\rightarrowtail \sqrt{2x-1}=x-2\)

\(\\ \rm\rightarrowtail 2x-1=(x-2)^2\)

\(\\ \rm\rightarrowtail 2x-1=x^2-4x+4\)

\(\\ \rm\rightarrowtail x^2-6x+5=0\)

\(\\ \rm\rightarrowtail (x-1)(x-5)=0\)

Option B is correct

As putting 1 as x

The writer can best improve their organization by reordering sentences to keep related ideas together.

Who is called writer?

Writers are individuals who use written words to communicate ideas, stories, or information to a particular audience. They may work in various fields such as journalism, creative writing, copywriting, technical writing, or academic writing. Writers can be novelists, poets, essayists, screenwriters, playwrights, and more, and their work can take many forms, such as books, articles, blogs, scripts, and speeches. Writing is a skill that can be developed and honed through practice, and good writers are able to engage and captivate their readers with their words.

Here,

The writer can best improve their organization by reordering sentences to keep related ideas together. Here's a possible reorganization of the text:

Ponies and horses have significant differences. Horses are considered to be over fifty-eight inches tall and usually live to be twenty-five to thirty years old. In contrast, ponies are generally shorter than horses, with a height of less than fifty-eight inches, and they tend to live longer, often up to thirty-five or even forty years.

This revision keeps the sentences that relate to each other together, creating a clear and logical progression of ideas. Additionally, it removes the redundant statement of defining ponies as a type of horse, which is already well-known information.

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Answer:

Step-by-step explanation:

Given

5x : 8 = 7 : 2

\(\frac{5x}{8} =\frac{7}{2}\\cross , multiply\\\\10x = 56\\x = \frac{56}{10}\\x =\frac{28}{5}\)

hope it helps :)

Work done by the vector is 11π/16.

We know that,

the given closed curve in the plane is,

F(x,y) = \((\frac{x^{2}y }{4} + \frac{y^{3} }{3} )\) i+xj

Suppose C be a simple smooth closed curve in the plane. It is also oriented counterclockwise.

Let S be the interior of C.

Let P = \(\frac{x^{2}y }{4} +\frac{y^{3} }{3}\) and Q = x

so the partial differentiation is,

\(\frac{dP}{dy} = \frac{x^{2} }{4} + y^{2}\)  and  \(\frac{dQ}{dx}\) = 1

By the Green's theorem work done by F is given as,

W = ∫ F dr

W = ∫∫ ( \(\frac{dQ}{dx} - \frac{dP}{dy}\) )dxdy

W = ∫∫ \((1 - \frac{x^{2} }{y} -y^{2} )dxdy\)

Let C = x² + y² = 1

and x = rcosθ, y = rsinθ ;

0 ≤ r ≤ 1; 0 ≤ θ ≤ 2π

Therefore

W = ∫∫ (1 - r²cos²θ/4 - r²sin²θ) \(|\frac{d(x,y)}{dr,0} |\) dθdr

and d(x,y)/d(r,θ) = [cosθ  -rsinθ; sinθ  rcosθ] = r

Thus

W = ∫∫ (1 - r²cos²θ/4 - r²sin²θ)rdθdr

after solving we get,

W = 11π/16.

Hence the work done along with the vector is 11π/16.

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The relative frequency table that summarizes the data is given by the image at the end of the answer.

The number of desired experiment results divided by the total number of experiment results is used to compute the relative frequency of an event in an experiment.

Given:

The percentage of people interested in waterskiing

= 90/250 x 100

= 36%.

Thus, the percentage of people that was not interested in waterskiing is

=100-36

= 64%

Now, the percentages related to paddle boarding are :

Yes: 72/250 = 28.8%.

No: 18/250 = 7.2%.

Of those not interested in waterskiing, the percentages related to paddle boarding are

Yes: 112/250 = 44.8%.

No: (120 - 72)/250 = 19.2%.

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7,701 divided by 36 is 213.91

The division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in mathematics. For example, we can divide a group of 20 members into 4 groups of 5 members

The number 7701 is called the numerator or dividend, and the number 36 is called the denominator or divisor.

The quotient of 7701 and 36, the ratio of 7701 and 36, as well as the fraction of 7701 and 36 all mean (almost) the same:

7701 divided by 36, often written as 7701/36

Therefore, 7701 divided 36 is 213.91

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