The speed of light in a vacuum is about 3000000000 meters per second, which can be written as 3 x 10n meters per second. What is n

Answer:    x=67

Step-by-step explanation:

All of the angles add up to 180 for a triangle

38 + 75 + x = 180               >combine like terms (the numbers)

113 + x = 180                       >subtract 113 from both sides

x=67

Answer:

Step-by-step explanation:

We know that,

\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)

\( \large \sf \: → x +38° + 75° = 180°\)

\( \large \sf \: → x + 113 = 180°\)

\( \large \sf→ x = 180°- 113°\)

\( \boxed{\large \bf→ x = 67° }\)

Answer:

Step-by-step explanation:

It's 75°  b/c of complementary angles.... understand? :∫

Answer is 75

Alternate Angle:

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

Here, angle-1 is the sum of alternate angles

=> i.e., sum of angle 45 degrees and 30 degrees

=> 45 + 30 = 75

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The solution to the above algebra question is  (b) x-3, x+5.

To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.

We set up the synthetic division table as follows, using -2 as the divisor:

-2 | 1 4 -11 -30

|____-2__-4___30

| 1 2 -15 0

The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:

x^2 + 2x - 15 = (x - 3)(x + 5)

Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.

The correct answer is (b) x-3, x+5.

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The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

Answer:

teczoneq:) im rlly awkward tho-

Answer:

The set = {1, 2, 3, 4, 5}

Step-by-step explanation:

Let us explain how to solve this question

∵ The set = {x : x is a digit in the number 241,532)

→ That means the elements of the set are the digits of the given number

∴ The elements in this set are the digits of the number 241,532

∵ The digits of the number 241,532 are 2, 4, 1, 5, 3, 2

→ In any set of numbers,

∴ The elements of the set are 1, 2, 3, 4, 5

∴ The set = {1, 2, 3, 4, 5}

The area of the shape for this problem is given as follows:

56 units².

Without considering the removed triangular region, the shape would be a rectangle of dimensions 7 units and 10 units, hence the area would be given as follows:

A = 7 x 10 = 70 units².

The removed shape is a triangle with base 7 and height of 10 - 6 = 4, hence it's area is of:

0.5 x 7 x 4 = 14 units².

Hence the area of the shape for this problem is given as follows:

70 - 14 = 56 units².

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Answer:

1/2 + 1/4 _ 1/3 = 0.91667

Step-by-step explanation:

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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Answer: To graph the linear equation x - y = 1, we can find its intercepts by setting one of the variables to zero and solving for the other.

Step-by-step explanation:

Setting x = 0, we get:

0 - y = 1

Solving for y, we get:

y = -1

So the y-intercept is (0, -1).

Setting y = 0, we get:

x - 0 = 1

Solving for x, we get:

x = 1

So the x-intercept is (1, 0).

Now we can plot the intercepts on a coordinate plane and draw a straight line passing through them:

    |

    |    .

    |        .

    |             .

    |                  .

    |                        .

    |                             .

------------------------------------------

    |         |         |         |         |

   -2        -1         0         1         2

Therefore, the graph of the linear equation x - y = 1 is a straight line passing through the points (0, -1) and (1, 0).

a) The 95% confidence interval estimate for the population mean spending by a customer on visiting salon per month is given as follows: (747, 853).

b) The sampling error at 95% confidence level is of: $35.78.

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{x} = 800, \mu = 200, n = 55, z = 1.96\)

Hence the lower bound of the interval is of:

800 - 200 x 1.96/square root of 55  = 747.

The upper bound of the interval is of:

800 + 200 x 1.96/square root of 55  = 853.

The sampling error for a sample size of 120 is calculated as follows:

200 x 1.96/square root of 120 = $35.78.

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Answer:

what

Step-by-step explanation:

Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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Answer:

D

Step-by-step explanation:

It's D

Answer:

Answer D

Step-by-step explanation:

Its right I just took the test.

The value of h is 0.895, the arc cosine of h is 0.462 and it terminates in the correct quadrant

Lastly, the measure of angle θ is 1.46 π

Given that

Terminal point = (-1.79, -0.89)

This means that

(x, y) = (-1.79, -0.89)

Also, we have

Radius, r = 2 units

So, the value of h is

h = |x|/r

This gives

h = |-1.79|/2

Evaluate

h = 0.895

In part (a) of this solution, we have

h = 0.895

Take the arc cos of both sides

So, we have

cos⁻¹(h) = cos⁻¹(0.895)

Evaluate the arc cos using a calculator

So, we have the following representation

h = 0.462 rad

This angle is in the first quadrant

It means that the angle terminates in the correct quadrant

For the value of θ, we have the following

This is calculated as

θ = π + tan⁻¹(-0.89/-1.79)

Evaluate

θ = π + 0.46 π

Evaluate

θ = 1.46 π

Hence, the measure of angle θ is 1.46 π

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Answer:

13.77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777

Answer: AKA B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

− 0.85 y + 10.26

Step-by-step explanation:

The multiplication of the expression (5.23y + 3.8) and (2.7 - 1.6y) will be 8.041y + 10.26 - 8.368y²

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (5.23y + 3.8) · (2.7 - 1.6y)

Simplify the expression, then we have

⇒ (5.23y + 3.8) · (2.7 - 1.6y)

⇒ 14.121y + 10.26 - 8.368y² - 6.08y

⇒ 8.041y + 10.26 - 8.368y²

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Answer:

---------------------------

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Answer:

It is better to buy the 16-ounce drink and it is 0.01 cent cheaper

Step-by-step explanation:

We have to find out how much each sports drinks cost per ounce.

0.96 ÷ 12 = 0.08 per ounce

1.12 ÷ 16 = 0.07 per ounce

It is better to buy the 16-ounce drink and it is 0.01 cent cheaper

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

1,3

Step-by-step explanation:

1 belongs in the green box because on a graph, you start from the x axis which is the horizontal line. The dot is on top of the 1, so the green box would be 1. On the vertical line, the dot is next to the 3, so 3 would go in the grey box.

Answer:

22.7

Step-by-step explanation:

Okay so the situation given shows a right triangle with the two sides being 7.6 and 18.2. So we can find the angle of elevation using tangent, which is tan-1*7.6/18.2. I got 22.66 so 22.7

Answer:

B

Step-by-step explanation:

if he needs 3 cups for 48 ones then you just divide by 2

because 48/2 = 24 and so 3 cups/2 = 1.5

so 1.5 cup makes 24 cookies.

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

  320 square units

Step-by-step explanation:

The four rectangles that approximate the area are shown in the graph. They have heights of 48, 64, 48, and 0. The width of each is 2. Then the total area is the sum of the products of length and width:

  2·48 +2·64 +2·48 +2·0 = 2·160 = 320 . . . square units

Correct option is D. the combined expenses are $300,000 more than the combined income.

In business, economics, statistics, and science, bar charts are frequently used to display and compare data. When dealing with data that can be divided into discrete categories, like nominal or ordinal data, they are especially helpful.

According to the Income and expenses graph;

We can verify each options one by one.

A. Expenses have increased $200,000 each year over the last 5 years:

If we see the graph for expenses in each year that is increased by $100,000 not the $200,000 over the last 5 years.
So, the option is wrong.

B. The income in Year 5 was twice the income in Year 1:

Income in year 1 = $600,000
Income in year 5 = $900,000

We can see here, income is not just double.
So, the option is wrong.

C. The sum of all expenses in Years 1, 2, and 3 was the same as the sum of all income in those years:

combined income in Years 1, 2, and 3 = $600,000 + $600,000 + $400,000  =  $1600,000
combined expenses in Years 1, 2, and 3 = $400,000 + $500,000 + $600,000 = $1500,000

Both are not equal.
So, the option is wrong.

D. The total amount expenses in Years 3 and 4 were $300,000 more than the total amount income in Years 3 and 4:

combined expenses in Years 3 and 4 = $600,000 + $700,000 = $13,00,000

combined income in Years 3 and 4 = $400,000 + $600,000 = $10,00,000

We can see here the combined expenses are $300,000 more than the combined income.

So, the option is correct.

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Answer:

\(\sf \dfrac29\)

Step-by-step explanation:

From the table:

\(\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}\)

\(\sf \implies P(Girl)=\dfrac{18}{30}\)

\(\sf \implies P(Freshman \cap Girl)=\dfrac{4}{30}\)

\(\begin{aligned}\sf P(Freshman|Girl)& = \sf\dfrac{P(Freshman \cap Girl)}{P(Girl)}\\\\ & = \sf \dfrac{4}{30} \div \dfrac{18}{30}\\\\ & \sf=\dfrac{4}{30} \times \dfrac{30}{18}\\\\ & = \sf \dfrac29\end{aligned}\)