Based on the values given in the table, which triangle is a right triangle?
a.E
b.g
с.D
D.F

Answer: Yes, No, No, Yes, No

Step-by-step explanation:

I think Graphing is the best way to tackle this. But I prefer algebra:

A) 2(-8) + 6(7) = 26

-16 + 42 = 26

26 = 26

The answer for A is Yes. I wont show work for the others, i think its pretty intuitive, (just substitute the coordinates for x and y, and check if the resulting statement is true)

B. No

C. No

D. Yes

E. No

(a) The doubling time of the population is approximately 13.86 years., (b) It takes approximately 23.10 years for the population to triple in size, (c) It takes approximately 27.72 years for the population to quadruple in size.

To calculate the doubling time of the population, we need to find the time it takes for the population to double from its initial value. In this case, the initial population is 9 million.

(a) Doubling Time:

Let's set up an equation to find the doubling time. We know that when the population doubles, it will be 2 times the initial population.

2P(0) = P(t)

Substituting P(t) = 9e^(0.05t), we have:

2 * 9 = 9e^(0.05t)

Dividing both sides by 9:

2 = e^(0.05t)

To solve for t, we take the natural logarithm (ln) of both sides:

ln(2) = 0.05t

Now, we can isolate t by dividing both sides by 0.05:

t = ln(2) / 0.05

Using a calculator, we find:

t ≈ 13.86

Therefore, the doubling time of the population is approximately 13.86 years.

(b) Time to Triple the Population:

Similar to the doubling time, we need to find the time it takes for the population to triple from its initial value.

3P(0) = P(t)

3 * 9 = 9e^(0.05t)

Dividing both sides by 9:

3 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(3) = 0.05t

Isolating t:

t = ln(3) / 0.05

Using a calculator, we find:

t ≈ 23.10

Therefore, it takes approximately 23.10 years for the population to triple in size.

(c) Time to Quadruple the Population:

Similarly, we need to find the time it takes for the population to quadruple from its initial value.

4P(0) = P(t)

4 * 9 = 9e^(0.05t)

Dividing both sides by 9:

4 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(4) = 0.05t

Isolating t:

t = ln(4) / 0.05

Using a calculator, we find:

t ≈ 27.72

Therefore, it takes approximately 27.72 years for the population to quadruple in size.

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2/6

Step-by-step explanation:

The two points are -3/6 and 5/6. Subtract -3 - 5 and it's 2. 2/6 :)

Answer:

12/13

Step-by-step explanation:

48/52 simplified in the lowest terms is 12/13

You do this by finding common numbers in the fraction

Answer:

12/13

Step-by-step explanation:

48/52     we can find an identical multiple for each 48 = 4*12  and 52 =4 *13 Turn into new fractions instead of 4*12 we show 4/12 and 4/13  - Then it is strike out the 4's and we are left with = 12 / 13   This is the recommended working out method.  

In a binomial experiment, there are only two possible outcomes for each of the n trials. True statement.

These outcomes are typically labeled as "success" and "failure," and they are mutually exclusive (meaning that only one outcome can occur per trial) and collectively exhaustive (meaning that one of the two outcomes must occur per trial).

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Answer:

3/231 can be simplified to 1/77.

Step-by-step explanation:

number line with closed circle on point negative 7 over 22 and arrow shaded to the left

In other words, we shade to the left of -7/22 and have a closed circle at this endpoint.

======================================================

Explanation:

Let's solve for m. To do so, we multiply both sides by 7 to clear out the fraction on the left side.

\(\frac{1}{7}m \le -\frac{1}{22}\\\\7*\frac{1}{7}m \le 7*\left(-\frac{1}{22}\right) \ \ \text{ ... multiply both sides by 7}\\\\m \le -\frac{7}{22}\)

The inequality sign doesn't flip since we didn't multiply both sides by a negative number.

The graph will involve a closed circle on the point -7/22 and an arrow shaded to the left. Therefore, it leads to choice D being the final answer.

This visually describes all values of m that either m = -7/22 or m < -7/22.

Side note: if there wasn't an "or equal to", then use an open circle or open hole, rather than a closed circle.

According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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The percentage that she spent on present for her sister is 26.67%

What does % example mean?

Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

Given that :

She spent = 360 * 1/5 = $72 on presents for her parents

she spent = 360 - 72 = 288 * 2/3 = $192 on presents for her friends

She spent = 288 - 192 = $96 on presents for her sister

Percentage of the $360 that she spent on presents for her sisters is

96/360 * 100 = 26.67%

Hence the percentage that she spent on present for her sister is 26.67%

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Answer:

its d

2.52x

3.40

____

0.00+

1.080+

7.5600

______.

8.658

Answer:

D. 8.568

Step-by-step explanation:

A quick tip is ignore the decimal points and just multiply, (which they already did for you) then add the decimal how many ever points forward the two multiples are combined.

So for 8568, since you have 2 . 52 3 . 4 you take it 3 points forward to right between the 8 and 5 for 8.568....

Also, just a word of advice, 4*4 is 16 so the answer couldn't be higher than 16, so A and C are wrong. B is actually switching the 6 and 5 so it's also wrong leaving only D

Answer:

2

Step-by-step explanation:

because average of 1 and 2 is 1.5 rounded is 2

The standard deviation of your revenues in a day is 14.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Let x be the revenue from hats.

And let y be the revenue from sunglasses.

And z be the total revenue.

Then according to the question:

z = 10x + 5y

You know the expected number of hats sold in a day is 10 with standard deviation 1.

σₓ = 1

σy = 2

Taking squares of both of the equation.

σₓ² = 1² = 1

σy² = 2² = 4

To find the standard deviation of your revenues in a day:

V(z) = (10)²σₓ² + 5²σy²

V(z) = (100)(1) + (25)(4)

V(z) = 200

Standard deviation,

σz² = √(200)

σz² = 10√(2)

σz² = 14.14

σz² ≈ 14

Therefore, the required standard deviation is 14.

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Answer:the function is linear

Step-by-step explanation:

Answer:

it linear

Step-by-step explanation:

AP3X verified

Answer:

5x-30

Step-by-step explanation:

Expand. 5x-30

it's 5x-30

Answer:

The answer is 5x-30.

Step-by-step explanation:

Answer: 57 i think

Step-by-step explanation:

Answer:

7.29 miles

Step-by-step explanation:

In 1 minute, Brian rides his bike for 0.27 of a mile.

in 27 mins the distance is going to be more than the other ( i.e 0.27 miles)

We use the proportion then get a solution

1 min = 0.27 miles

27 mins = (27 mins÷ 1 min) × 0.27

= 27 × 0.27 miles

= 7.29 miles

Step-by-step explanation:

Given parameters:

  Speed of the Brain's bike  = 0.27mile/min

Time = 27min

Unknown:

distance between Brain's house and where his friend lives =?

Solution:

Speed is a physical quantity.

   It is mathematically expressed as'

     Speed  = \(\frac{distance}{time}\)

   Distance  = speed x time

  Input the parameters;

    Distance  = 0.27mile/min x 27min  = 7.29miles

The solution to the equation 810x + y = 8 is given by the expression y = 8 - 810x, where x can take any integer or fraction value, and y will be determined accordingly

To solve the equation 810x + y = 8, we need to isolate either variable. Let's solve for y in terms of x.

First, subtract 810x from both sides of the equation:

y = 8 - 810x.

Now, we have expressed y in terms of x. This means that for any given value of x, we can find the corresponding value of y that satisfies the equation.

For example, if x = 0, then y = 8 - 810(0) = 8.

If x = 1, then y = 8 - 810(1) = 8 - 810 = -802.

Similarly, we can find other values of y for different values of x.

Note: The equation does not have a unique solution. It represents a straight line in the x-y coordinate plane, and every point on that line is a solution to the equation.

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Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Answer:

$75

Step-by-step explanation:

50+75=125

125 x 0.6= 75

Steve gives 75 dollars to his mother

No, you cannot find the length of an apothem without any side measurements.

In a regular polygon, the apothem is the distance from the center of the polygon to the midpoint of a side. To calculate the length of the apothem, you need to know the length of at least one side of the polygon and the number of sides. The formula to find the length of the apothem of a regular polygon is:a = s/2tan(π/n)

Where a is the apothem, s is the length of one side of the polygon, n is the number of sides, and tan(π/n) is the tangent of the polygon's interior angle. If you don't know the length of any side of the polygon, you won't be able to use this formula to find the apothem.

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Based on the given data, the height of a plant from Variety A is likely to be closer to the mean. So, correct option is C.

Based on the given data, we can make the following observations:

The mean height of plants from Variety A is 19 inches, while the mean height of plants from Variety B is 13 inches.

The mean absolute deviation (MAD) for Variety A is 1.2 inches, while the MAD for Variety B is 2.4 inches. This means that the heights of plants from Variety A are less variable than the heights of plants from Variety B.

Option A cannot be concluded from the given data as we do not have information on the maximum height of plants from either variety.

Option B cannot be concluded from the given data as there is overlap in the height ranges of the two varieties.

Option C is likely to be true as the MAD for Variety A is smaller, indicating that the heights of plants from this variety are more tightly clustered around the mean of 19 inches.

Option D is unlikely to be true as the MAD for Variety B is larger, indicating that the heights of plants from this variety are more spread out and farther away from the mean of 13 inches.

In conclusion, based on the given data, we can say that the height of a plant from Variety A is likely to be closer to the mean, and the height of a plant from Variety B is likely to be farther away from the mean.

So, correct option is C.

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Answer:

3

Step-by-step explanation:

Dilating a shape will proportionately affect its side lengths.

To find the scale factor between the given triangles, take one side on the larger triangle and divide it by the corresponding side on the smaller triangle. I will divide the triangles' top sides (24 and 8).

\(\textrm{scale factor} = \dfrac{24}{8} = 3\)

So, the scale factor used was 3.

Answer:1 and 8 what's the answer idj

Step-by-step explanation:

Answer:

2 and 8

Step-by-step explanation:

Answer:

\(9(b + 5) - 4b = \\ 9b + 45 - 4b = \\ 5b + 45 = b + 9\)

\( \looparrowright \sf9(b + 5) - 4b\)

\( \\ \\ \)

\( \looparrowright \sf9b + 45 = - 4b\)

\( \\ \\ \)

\( \looparrowright \sf9b + 4b + 45 = 0\)

\( \\ \\ \)

\( \looparrowright \sf5b + 45 = 0\)

\( \\ \\ \)

\( \looparrowright \sf5b = - 45\)

\( \\ \\ \)

\( \looparrowright \sf \: b = - 45 \div 5\)

\( \\ \\ \)

\( \looparrowright \sf \: b = -9\)

===========================================================

w = unknown width

We have two copies of w, since we have two parallel width portions, along with two copies of 132 being added to get the perimeter of the rectangle.

perimeter = sum of all sides

p = 132+132+w+w

p = 2w+264

Set this equal to the given perimeter of 346 and solve for w

2w+264 = 346

2w = 346-264

2w = 82

w = 82/2

w = 41

The width of the building is 41 meters

Answer:

ANS: 1 - D

ANS: 2 - B

ANS: 3 - A

ANS: 4 - D

Step-by-step explanation:

cartesian coordinate system. This system plots points on a graph based on their x-values and y-values. The x-values represent the horizontal axis and the y-values represent the vertical axis, with the origin (0,0) in the middle of the graph.

The points can then be plotted and connected to form lines, shapes, and other geometric figures.

1. A ordered pair of real numbers is a set of two numbers that have been arranged in a specific order.

2. This ordered pair can be represented in a plane called the rectangular coordinate system or the cartesian coordinate system.

3. In this system, points on a graph are plotted based on their x-values and y-values.

4. The x-values represent the horizontal axis and the y-values represent the vertical axis, with the origin (0,0) in the middle of the graph.

5. The points can then be plotted and connected to form lines, shapes, and other geometric figures.

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Answer:

8+44 factor teh of ok aprendeis facaleis

Answer: Sorry I cant answer this the image is blank

I'll answer it if you post it again in a different post

Step-by-step explanation: