Divide 17.9 by 2.38. Round your answer to the nearest tenth.
7.5
0.7
0.8
7.6

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

Answer:

A: He had $147.85 more in credits than in debits.

Step-by-step explanation:

To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.

(a) The 4 smallest natural numbers are 6, 18, 30, and 42.

(b) All natural numbers whose smallest common multiple with 36 is 540 are 108, 180, and 540.

(a) The prime factors of 48 are:

48 = 2 × 2 × 2 × 2 × 3 = 2⁴ × 3

The prime factors of 6 are:

6 = 2 × 3

Therefore, The four smallest numbers that have a 6 and a 48 as their greatest common factor are as follows:

2 × 3 = 6

2 × 3 × 3 = 18

2 × 3 × 5 = 30

2 × 3 × 7 = 42

(b) The factors of 36 are:

36 = 2 × 2 × 3 × 3

The factors of 540 are:

540 = 2 × 2 × 3 × 3 × 3 × 5

Therefore, the smallest common multiple with 36 is 540:

108 = 2 × 2 × 3 × 3 × 3

180 = 2 × 2 × 3 × 3 × 5

540 = 2 × 2 × 3 × 3 × 3 × 5

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Answer:

"Through" (and any subsequent words) was ignored because we limit queries to 32 words.

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

The hypothenuse of a right triangle is calculated as:

Where a and b are the other two sides of the right triangle.

In this case, a=5 and b=12, then the hypotenuse is:

Then, the answer is that the hypothenuse has a lenght of 13.

Value of m is -4

Value of x is 5

To solve linear equations, follow the following steps:

Equation 1.

2-6m = -4m+10

6m-4m = 2-10

2m = -8

m = -8/2

m = -4

Value of x is -4

Equation 2.

2.5+1.75 = -3.25+1.5x

1.5x = 4.25+3.25

1.5x = 7.5

x = 7.5/1.5

x = 5

Value of x is 5

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Answer: (3)

Step-by-step explanation:

In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.

Step 1: Draw a rectangle where the width is x and the length is x + 5.

Step 2: Find the sum of the lengths and the sum of the widths

2 times the length plus 2 times the width equals the perimeter

2(x + 5) + 2(x) = 54

Step 3: Solve for the width

2(x + 5) + 2(x) = 54

2x + 10 + 2x = 54 (Distributive Property)

4x + 10 = 54 (Group Like Terms)

4x = 44 (Subtraction Property of Equality)

4x/4 = 44/4

x = 11 (Division Property of Equality)

x = width = 11

Step 4: Solve for the length

x + 5 = length

11 + 5 = 16

Length = 16. So (3) must be the answer.

The equation describes the relationship between the rate of change of with respect to time and the rate of change of with respect to time is dx/dt -2 dy/dt              

Well   x + 2y = k                   (constant)

differentiate through wrt t

dx/dt  +  2 dy/dt = 0

so dx/dt -2 dy/dt               (so B)

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Answer:

its upside down

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

-2/x²-1

Step-by-step explanation:

p(x)-q(x)

(1/x+1) - (1/x-1)

(x-1)/((x+1)(x-1)) - (x+1)/((x+1)(x-1))

x-1-x-1 / x²-1

-2/x²-1

The margin of error can be calculated in two ways, depending on whether you have population parameters or sample statistics:

Margin of error (parameter) = critical value x population standard deviation Margin of error (statistic) = Critical value x Sample standard error

A margin of error is a statistical metric that accounts for the difference between actual and projected survey results in a random sample.

In layman's terms, the margin of error measures the degree of unpredictability in data and research results. The margin of error formula is calculated by multiplying a critical factor. The result is then divided by the square root of the sample's number of observations.

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The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

Daughter age = x = 16 years old

Mother's age = 2x = 2 × 16 = 32 years

Step-by-step explanation:

The computation of their current age is shown below:

Let us assume that the current age of the daughter is x

And, the current age of the mother be 2x

Now nine years ago, their ages would be

daughter age is x - 9

And, the mother age would be 2x - 9

Now the equation would be

x - 9 + 2x - 9 = 30

3x - 18 = 30

3x = 30 + 18

3x = 48

x = 48 ÷ 3

x = 16.

Therefore

Daughter age = x = 16 years old

Mother's age = 2x = 2 × 16 = 32 years

Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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The HR analyst for the Peel District School Board needs to determine the number of positions to be filled and their impact on current employees in the Secondary School Division.

Level 5: 1.75 (5% of 35)

Level 6: 10.5 (10% of 105)

Level 7: 7 (3% of 350)

Level 8: 48.2 (2% of 2410)

Total: 67.45 or approximately 67 positions to be filled

2. Table of employees is attached as an image

Note: The numbers in each cell represent the number of promotions from the row position to the column position and the percentage. For example, 48.2 Level 8 teachers will be promoted to Level 5.

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Answer:

30 feet in 10 seconds

Step-by-step explanation:

Answer:

11 buses

Step-by-step explanation:

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)

If x = the number of $5 bills in the drawer, the equation which could be used to find the number of $5 bills in the drawer is: D. $5x + $10(35-x) = $240​.

In order to write a system of linear equations that could be used to model the situation, we would assign variables to the number of $5 bills in the drawer and the number of $10 bills in the drawers respectively as follows:

Next, we would translate the word problem into system of linear equations as follows:

5x + 10y = 240

x + y = 35

y = 35 - x

By substituting equation 3 into equation 1, we have the following:

5x + 10(35 - x) = 240

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Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

Answer:

37.69

Step-by-step explanation:

Answer:r=7r =9 r=10

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

0.2^(3)-:0.4*60+3.6-:1.2 = 4.2

Answer:

4.2

Step-by-step explanation:

Answer:

y = sin(4(x+π/8)) + 1

Step-by-step explanation:

For a trigonometric equation of form

y = Asin(B(x+C)) + D,

the amplitude is A, the period is 2π/B, the phase shift is C, and the vertical shift is D (shifts are relative to sin(x) = y)

First, the amplitude is the distance from the center to a top/bottom point (also known as a peak/trough respectively). The center of the function given is at y=1, and the top is at y=2, Therefore, 2-1= 1 is our amplitude.

Next, the period is the distance between one peak to the next closest peak, or any matching point to the next matching point. One peak of this function is at x=0 and another is at x= π/2, so the period is (π/2 - 0) = π/2. The period is equal to 2π/B, so

2π/B  = π/2

multiply both sides by b to remove a denominator

2π = π/2 * B

divide both sides by π

2 = 1/2 * B

multiply both sides by 2 to isolate b

4 = B

After that, the phase shift is the horizontal shift from sin(x). In the base function sin(x), one center is at x=0. However, on the graph, the closest centers to x=0 are at x=± π/8. Therefore, π/8 is the phase shift.

Finally, the vertical shift is how far the function is shifted vertically from sin(x). In sin(x), the centers are at y=0. In the function given, the centers are at y=1, symbolizing a vertical shift of 1.

Our function is therefore

y = Asin(B(x+C)) + D

A = 1

B = 4

C = π/8

D = 1

y = sin(4(x+π/8)) + 1

Answer(s):

\(\displaystyle y = sin\:(4x + \frac{\pi}{2}) + 1 \\ y = -cos\:(4x \pm \pi) + 1 \\ y = cos\:4x + 1\)

Explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{8}} \hookrightarrow \frac{-\frac{\pi}{2}}{4} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 1\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 1\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = sin\:4x + 1,\) in which you need to replase “cosine” with “sine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{8}\:unit\) to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK \(\displaystyle \frac{\pi}{8}\:unit,\) which means the C-term will be negative, and perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{8}} = \frac{-\frac{\pi}{2}}{4}.\) So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = sin\:(4x + \frac{\pi}{2}) + 1.\) Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits \(\displaystyle [0, 2],\) from there to \(\displaystyle [\frac{\pi}{2}, 2],\) they are obviously \(\displaystyle \frac{\pi}{2}\:unit\) apart, telling you that the period of the graph is \(\displaystyle \frac{\pi}{2}.\) Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 1,\) in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.