Height,20 m
Bases, 9 m, 15 m
What is the area of this trapezoid?

Answer:

3

Step-by-step explanation:

3 x 2 = 6 - 3 (half) = 3

Answer:

I think the answers to the question is 3

Answer: 1/6

Step-by-step explanation:

There are 6 faces in a dice

The faces are labeled as =

1

2

3

4

5

6

This means, there are 6 different outcomes in a dice

So we have to find out the probability of the dice showing 3

Now, out of 6 different possible outcomes, there is only 1 face labeled as 3.

So there is only 1 possible outcome as "3".

We can simply make it a fraction = 1/6 . 

So the answer is 1/6

Probability is expressed as a fraction, percentage and decimal.

Answer:

H= -35/4

Decimal form: -8.75

Explanation:

Answer:

  $1,021,337.13

Step-by-step explanation:

The sum of present values of medical expenses is ...

  30,000/1.05 +30,000(1.0513)/1.05^2 +30,000(1.0513^2)/1.05^3 +...

So, the series has an initial value of 30,000/1.05 and a common ratio of 1.0513/1.05. Its sum is given by ...

  S = a(r^n -1)/(r -1)

where a = 30,000/1.05, n = 35, r = 1.0513/1.05.

Filling in these values and doing the arithmetic, we get ...

  S = $1,021,337.13

You need an initial deposit of $1,021,337.13 to cover rising expenses for 35 years.

Answer: 9.66666667

Step-by-step explanation:

To find the number of days it would take to build a similar house, we would need to create a proportion.

Workers: 27:9

Days: 29:?

Let's simplify.

Workers: 3:1

Days: 29:?

Now, we divide 29 by 3 to see how many days it would take to build a similar house.

29/3=9.666666667 (9.6 repeating)

So, your answer would be 9.6

Hope this helps!

\(-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\\)

↝ Form into \(ax^2+bx+c = 0\) where a > 0 (Optional)

\(x^2-5x+8=0\) ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

\(x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\\)

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

↝ Solution with Real Numbers  System ↝  There are no real solutions.

↝ Solution with Complex Number System ↝

\(x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}\)

Therefore, the answer for Complex Number System is (5±√7i)/2

Answer:

- x(- 8x^2 + 3x)

8x^3 - 3x^2

Answer:

19

Step-by-step explanation:

Answer:

$42,918

Step-by-step explanation:

There are basically a couple ways to do this

First way:

46,000 x 0.067 = 3,082

46,000 - 3,082 = 42,918

Second way

46,000 x (1 - 0.067)

46,000 x 0.933 = 42,918

Either way works; just use which one you prefer

If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.

Let's x represent the amount invested at 15%

Let the  amount invested at 9% = 24,783 - x.

Interest earned at 15% is 0.15 * x

Interest earned at 9% is 0.09 * (24,783 - x)

We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09

Solving for x:

0.06x = 24,783 * 0.09 + 894.09

0.06x = 2223.47 + 894.09

0.06x = 3117.56

x = 51,960

So,

(24,783 - x)

24,783 - 51,960

= 22,823

Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.

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-2 1/2 - (-1 3/4)

When subtracting a negative vile the equation becomes addition:

-2 1/2 + 1 3/4 = -3/4

Answer: -3/4

Answer:No

Step-by-step explanation:

i. Costco is more effective at collecting its accounts receivable faster.

ii. The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing.

iii. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

Accounts Receivable Turnover: Year ended in 2022: 10.2 times; Year ended in 2021: 10.1 times.

Number of Days Sales in Accounts Receivable: 2022: 38.6 days; 2021: 39.1 days.

Sam's Club

Accounts Receivable Turnover: Year ended in 2022: 8.6 times; Year ended in 2021: 8.5 times.

Number of Days Sales in Accounts Receivable: 2022: 45.2 days; 2021: 46.2 days.

This could be due to a number of factors, such as the economic environment, changes in customer payment habits, or changes in the way that the companies are managing their receivables.

This could be due to a number of factors, such as the companies' different business models, customer bases, or payment terms.

So, Costco is more effective at collecting its accounts receivable faster.

The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

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The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

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The standard deviation of the distribution is given as follows:

1.3.

Before obtaining the standard deviation, first we must obtain the expected value, which is given by the sum of each value multiplied by it's respective probability, hence:

E(X) = 1 x 0.18 + 2 x 0.2 + 3 x 0.26 + 4 x 0.21 + 5 x 0.15

E(X) = 2.95.

The standard deviation is then calculated as the square root of the sum of the difference squared between each observation and the mean, multiplied by their respective probabilities, hence:

S(X) = sqrt[(1-2.95)² x 0.18 + (2-2.95)² x 0.2 + (3-2.95)² x 0.26 + (4-2.95)² x 0.21 + (5-2.95)² x 0.15]

S(X) = 1.3.

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Answer:

The center

Step-by-step explanation:

is the player who begins the play from scrimmage by snapping the ball to the quarterback. As the name suggests, the center usually plays in the middle of the offensive line, though some teams may employ an unbalanced line where the center is offset to one side.

If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.

To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.

Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:

d = √((4 - 1)² + (6 - 2)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

Rounded to the nearest whole number, the length of the line is also 5 units.

In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.

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Answer:

B. 12

Step-by-step explanation:

Based on the centroid theorem,

\( BP = \frac{2}{3}(BF) \).

BP = 8

Plug in the value of BP into the equation and find the value of BF.

\( 8 = \frac{2}{3}(BF) \)

\( 8 = \frac{2*BF}{3} \)

Cross multiply

\( 8*3 = 2*BF \)

\( 24 = 2*BF \)

Divide both sides by 2

\( \frac{24}{2} = BF \)

\( BF = 12 \)

Answer:

  8 cm; from the table

Step-by-step explanation:

The equation gives the ground distance in terms of the map distance, so would have to be solved for x to be used to find map distance.

The graph is not shown.

The table appears correct, and includes the value 32 km for a map distance of 4 cm. The ground distance of interest is 64 km, which is twice that table value. That means the map distance will be twice the corresponding table value: 2×4 cm = 8 cm.

The distance from Town A to Town B is represented on the map by 8 cm.

\(~\hspace{16em}\underset{\downarrow }{\textit{distance on map}}\\ \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \cline{1-10} Map&0&1&2&3&4&5&6&7&8\\ \cline{1-10} Actual&0&8&16&24&32&40&48&56&64\\ \cline{1-10} \end{array}\\ ~\hspace{16em}\stackrel{\uparrow }{actual~distance}\)

The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.

To answer this question, we need to perform a hypothesis test to determine whether the sample data supports the claim that the variance in the number of patients seen per day is equal to 10.

The null hypothesis is that the variance is equal to 10:

H0: \(\sigma^2 = 10\)

The alternative hypothesis is that the variance is not equal to 10:

Ha: \(\sigma^2 \neq 10\)

The level of significance is set at 0.10. To calculate the test statistic, we first need to find the sample variance. Using the formula for the sample variance, we get:

\(s^2 = (\sum(x_i - mean)^2)/(n-1) = (104.22)/8 = 13.03\)

The test statistic is calculated as follows:

\(t = (s^2 - 10)/(10/\sqrt{9}) = (13.03 - 10)/(1) = 3.03\)

We can now use Table 3 from Appendix B to determine whether the test statistic is significant at the 0.10 level of significance. Looking at the critical values for a two-tailed test with 8 degrees of freedom and a significance level of 0.10, we find that the critical value is ±2.306. Since our test statistic of 3.03 is greater than 2.306, we reject the null hypothesis.

The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.

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We know that the sum of the internal angles is equal to 180°, then we write and solve a linear equation to see that the missing angle is 94°.

Remember that for any triangle, we know that the sum of the interior angles is equal to 180°.

In this case we know that two of the angles have a measure of 62° and 24°, and if the third angle is x, then we can write the linear equation:

62° + 24° + x = 180°

To solve this we need to isolate x, we will get:

x = 180° - 24° - 62°

x = 94°

So the measure of the third interior angle is 94 degrees.

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Answer:

For seed transfer. If an animal gathers fruit and eats it or just carries it away for later consumption, it will move the seed further away from the parent plant. That way, the new plants do not take from the parent plant's resources.

Answer: Therefore, the value of x is 4√5 meters.

Step-by-step explanation:

To solve for x, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we can see that side a is the hypotenuse, so we have:

a^2 = b^2 + c^2

Substituting the given values, we get:

(6m)^2 = (3m)^2 + (2m)^2

Simplifying:

36m^2 = 9m^2 + 4m^2

36m^2 = 13m^2

Dividing both sides by 13m^2:

36/13 = (4√5)^2/x^2

Simplifying:

x^2 = (4√5)^2 / (36/13)

x^2 = (16513) / 36

x^2 = 260/9

Taking the square root of both sides (and simplifying the surd):

x = 4√(65/9) = 4√5 X m

Answer:

2nd option:

x-intercept: (-4,0)

y-intercept: (0,8)

Step-by-step explanation:

X-intercept

\(-6x+3y=24\)

\(-6x+3(0)=24\)

\(-6x=24\)

\(x=-4\)

\((-4,0)\)

Y-intercept

\(-6x+3y=24\)

\(-6(0)+3y=24\)

\(3y=24\)

\(y=8\)

\((0,8)\)

Answer:

C, F

Step-by-step explanation:

Dont have time rn

The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

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Answer:

The pencils at store A cost more.

Step-by-step explanation:

First find the price of one pencil at store A

y=0.55(1)=

y=0.55

One pencil at store A costs 0.55

Now find the price of one pencil at store B

3.06/6=

0.51

One pencil at store B costs 0.51

0.55>0.51 so The pencils at store A cost more.

Hope this helps!

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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