Figure E is dilated from point D, the center of dilation

By calculating the cube root of 729, we find that x = 9. Therefore, the minimum height, width, and length required to build the tank are all 9m.

To calculate the minimum height, width, and length required to build the tank, we need to consider the volume of the tank. In this case, the volume of the tank is given as 729m³.

Since the tank is cubical, all sides are equal in length. Let's assume the length of each side is 'x'. Therefore, the volume of the tank can be calculated using the formula:

Volume = length × width × height

In this case, since all sides are equal, we can rewrite the formula as:

Volume = x × x × x

Given that the volume is 729m³, we can substitute this value into the formula:

729 = x × x × x

To solve for 'x', we need to find the cube root of 729. The cube root of a number is the value that, when multiplied by itself three times, gives the original number.

By calculating the cube root of 729, we find that x = 9.

Therefore, the minimum height, width, and length required to build the tank are all 9m.

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Answer: its 236

Step-by-step explan

Answer:

To compute the average speed, multiply the total distance travelled by the whole time spent. There's a formula for speed, time and distance

Travel distance aboard the pterodactyl = 10 mph x 3 hours = 30 miles

Distance travelled on the spinosaurus = 2 miles x 1 hour = 2 miles

30 miles + 2 miles = 32 miles total distance travelled

Total time required = 3 hours + 1 hour = 4 hours

Average speed = total distance travelled divided by the total time taken = 32 miles divided by 4 hours = 8 mph

As a result, our average speed is 8 mph.

Step-by-step explanation:

127-83=44

9x-10=44

9x=54

x=6

Question 3

\(m\angle XHK=126^{\circ}\) by the alternate interior angles theorem.

Question 4

\(m\angle HKV=126^{\circ}\) because it is given.

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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Answer: x=3 ; y=13

Step-by-step explanation:

1. isolate y from equation to substitute into the second equation

y= 16-x ---> (16-x) = 3x+4

2. move to one side and solve for x

4x=12 --> x=3

3. plug in x value to solve for y

3+y=16 or 3(3)+4

y=13

To find a particular solution to the given differential equation, we can assume a constant value for y and solve for it.

The given differential equation is y′′ + 3y = -9. To find a particular solution, we assume y = k, where k is a constant. Substituting this assumption into the differential equation, we get k'' + 3k = -9. Since k is a constant, its second derivative is zero, so the equation simplifies to 3k = -9. Solving for k, we find k = -3.

Therefore, a particular solution to the given differential equation is y = -3. This means that for this particular value of y, the second derivative of y is zero, and when we substitute it into the differential equation, it satisfies the equation.

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The equation of the tangent line to the curve xy² + xy = 6 at the point (3, 1) is y = (7/4)x - 19/4.

To find the equation of the tangent line to the curve xy² + xy = 6 at the point (3, 1), we first need to find the slope of the tangent line. We can use implicit differentiation to find the derivative of the curve:

(xy² + xy)' = (6)'

Using the product rule for differentiation, we get

y² + 2xydx/dy + xdx/dy + y = 0

Rearranging and solving for dx/dy, we get

dx/dy = (-y - 2xy)/(x + y²)

Substituting the values x = 3 and y = 1, we get

dx/dy = (-1 - 2(3)(1))/(3 + 1) = -7/4

Therefore, the slope of the tangent line at the point (3, 1) is -7/4.

Now we can use the point-slope form of a line to find the equation of the tangent line

y - y₁ = m(x - x₁), where (x₁, y₁) = (3, 1) and m = -7/4

Simplifying, we get:

y - 1 = (-7/4)(x - 3)

Multiplying both sides by 4 to eliminate the fraction, we get:

4y - 4 = -7(x - 3)

Simplifying further, we get

4y - 7x = -19

Therefore, the equation of the tangent line is y = (7/4)x - 19/4

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The probability of a family having three males and two females can be calculated using the concept of binomial probability.

In a family with five kids, each child has a 50% chance of being male or female. The probability of having three males and two females can be calculated by considering the different ways this combination can occur.

There are a total of 10 possible outcomes when arranging three males and two females in a sequence of five children (i.e., 5C3, where 5C3 represents the binomial coefficient "5 choose 3").

The probability of having three males and two females is given by the number of favorable outcomes divided by the total number of possible outcomes, which is 10/32 or 0.3125. Therefore, the probability of a family having three males and two females is approximately 31.25%.

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Answer:

125π km³

Step-by-step explanation:

We are to find the Volume of a cylinder

From the question:

Height of the cylinder = 5km

Radius of the cylinder = 5 km

The volume of a cylinder =

πr² h

Hence:

π × 5² × 5

= 125π km³

The volume of the cylinder = 125π km³

Option d is the correct option

The area of the propeller-shaped region enclosed by the curves x = \(y^3\) and x - y = 0 is 1 square unit.

To find the area of the propeller-shaped region enclosed by the curves, we need to determine the points of intersection between the curves and then integrate the appropriate function over the interval between these points.

The curves given are:

Curve 1: x = y^3

Curve 2: x - y = 0

First, we find the points of intersection by setting the equations of the curves equal to each other:

y^3 = y

y(y^2 - 1) = 0

This equation has three solutions: y = 0, y = -1, and y = 1.

The intersection points are:

A: (0, 0)

B: (-1, 1)

C: (1, 1)

To find the area of the propeller-shaped region, we need to evaluate the integral of the function representing the region over the interval [y1, y2], where y1 and y2 are the y-coordinates of the intersection points.

The region can be divided into two parts: the upper part, enclosed by the curve x = y^3, and the lower part, enclosed by the line x - y = 0.

For the upper part, the function representing the region is given by the difference between the curves:

f1(y) =\(y^3 - (y^3 - y) = y\)

For the lower part, the function representing the region is given by the line equation:

f2(y) = x - y = y - y = 0

Therefore, the area of the propeller-shaped region can be calculated as:

Area = ∫[y1, y2] (f1(y) - f2(y)) dy

= ∫[-1, 0] (y - 0) dy + ∫[0, 1] (y - 0) dy

= ∫[-1, 0] y dy + ∫[0, 1] y dy

=\([y^2/2] [-1, 0] + [y^2/2] [0, 1]\)

= \((0/2 - (-1)^2/2) + (1^2/2 - 0/2)\)

= 1/2 + 1/2

= 1

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Answer:

A fraction equivalent to 4/4 is 8/8 and 9/9 and 10/10 and 11/11 and 12/12 and 16/16 To answer this question, first of all, we should know that the equivalent fractions of a number or value are the fractions having different numerators and denominators but when simplified they are all equal to the same value or number.

Step-by-step explanation:

hope this helps if not let me know

Answer:

8/8 , 12/12, 16/16

Given:

A fraction 4/4.

To find:

An equivalent fraction to a given fraction.

Solution:

A fraction equivalent to 4/4 is 8/8.

To answer this question, first of all, we should know that the equivalent fractions of a number or value are the fractions having different numerators and denominators but when simplified they are all equal to the same value or number.

There is no limit to equivalent fractions of a given number.

Now,

we have,

a fraction 4/4,

To get its equivalent fraction, we will multiply the same number in its numerator and denominator.

Let's multiply 2 in both numerator and denominator of 4/4.

We get

4x2/4x2 = 8/8

So, an equivalent fraction to 4/4 is 8/8.

In notice of this 12/12 and 16/16

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Answer:

118.2°

Step-by-step explanation:

Supplementary angles are angles that sum up to 180°. 180 - 61.8 = 118.2°, so that's you answer.

Answer:

118.2°

Step-by-step explanation:

supplementary means angle so it makes 180°

180-61.8=118.2°

Answer:

find the GCF or factors or factors group or what?

Answer:

Nah I have grids

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

You need to find the derivitive of the equation and ,ultiply by B!!!

The representation of √14 on number line is shown below.

A visual representation of numbers on a straight line is known as a number line. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is typically represented horizontally and can extend indefinitely in any direction.

On a number line, the numbers rise as you move from left to right and fall as you move backwards from right to left.

Given:

For drawing number line of root number we will use spiral method.

So, Using Pythagoras theorem

H² = P² + B²

H² = (√13)² + 1²

H² = 14

H = √14

So, we will take Perpendicular 1 unit and base of √13 unit.

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Answer:

8.99999999998

Step-by-step explanation:

45:115::_:23

The ratio between 45 and 115 is 2.55555555556 so 23 divied by that is 8.99999999998

Answer:

Answer: 40 small cups sold and 30 large cups sold.

\(6\frac{1}{3}\rule[0.35em]{10em}{0.25pt}M\rule[0.35em]{10em}{0.25pt}6.4\)

so, let's find their difference, take half of it and give it to 6⅓.

\(\stackrel{mixed}{6\frac{1}{3}}\implies \cfrac{6\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{19}{3}} ~\hfill 6.4\implies \cfrac{64}{10}\implies \cfrac{32}{5} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{32}{5}~~ - ~~\cfrac{19}{3}\implies \cfrac{(3)32~~ - ~~5(19)}{\underset{\textit{using this LCD}}{15}}\implies \cfrac{96-95}{15}\implies \cfrac{1}{15}\)

\(\stackrel{\textit{now let's take half of that}}{\cfrac{1}{15}\div 2\implies \cfrac{1}{15}\div \cfrac{2}{1}}\implies \cfrac{1}{15}\cdot \cfrac{1}{2}\implies \cfrac{1}{30} \\\\\\ \stackrel{\textit{now let's add it to }6\frac{1}{3}}{\cfrac{19}{3}+\cfrac{1}{30}}\implies \cfrac{10(19)~~ + ~~(1)1}{\underset{\textit{using this LCD}}{30}}\implies \cfrac{191}{30}\implies {\Large \begin{array}{llll} 6\frac{11}{30} =M\end{array}}\)

The minimum length of the other side is 3 cm.

Given that the area of the rectangle is 40 cm², and one side of the rectangle is exactly 10 cm, we can find the maximum and minimum lengths of the other side by dividing the area by the known side length.

Let's denote the length of the other side as x cm. Since the area of a rectangle is the product of its length and width, we have the equation:

10 cm \(\times\) x cm = 40 cm²

To find the maximum length, we assume that x is the largest possible value. Therefore, rounding up the result of the division:

x = 40 cm² / 10 cm

x = 4 cm

So, the maximum length of the other side is 4 cm.

For the minimum length, we assume x is the smallest possible value. Rounding down the result of the division:

x = 39 cm² / 10 cm

x = 3.9 cm

Since the length cannot be a decimal value, we round down to the nearest whole number.

Hence, the minimum length of the other side is 3 cm.

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Answer:

24,36

Step-by-step explanation:

Answer:

1. 12

2. 24

3. 36

4. 48

Step-by-step explanation:

a) The probability that more than 64% of the sampled adults drinks coffee daily is equals to the 0.2574.

b) The probability that the sample proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67 is equals to the 0.2316.

We have a report data of National Coffee Association related to coffee drinking by adults. Sample proportion that adults drink coffee daily, p = 61% = 0.61

1 - p = 1 - 0.61 = 0.39

A random sample of sample size, n

= 250.

Population proportion= Sample proportion, p = 0.61

So, mean for population, μₚ = population proportion = 0.61

Standard deviations for population is σₚ

= √p( 1 - p)/n = √0.61(1 - 0.61)/250

= 0.0308

The sample proportion is approximately normally distributed, p ~ N(0.62,0.03072).

a) The probability that more than 64% of the sampled adults drinks coffee daily is, P( X > 0.64) = P ( (X - μₚ)/σₚ < (0.64 - 0.61)/0.0308 = 0.974

Using the normal distribution table probability value, P (Z >0.974 ) is equals to 0.2574 so, P( X> 0.64) = 0.2574.

b) The probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67, P ( 0.59 < p < 0.67) = P[(0.59 - 0.61) / 0.0308 < (p - μₚ)/σₚ < (0.67 - 0.61) / 0.0308]

= P(-0.65 < z < 1.94)

= P(z < 1.94) - P(z < -0.65 )

= 0.4738 - 0.2422

= 0.2316

Hence, required probability is 0.2316.

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Complete question:

Coffee: The National Coffee Association reported that 61% of U.S. adults drink coffee daily. A random sample of 250 U.S. adults is selected. Round your answers to at least four decimal places as needed.

a)find the probability that more than 64% of the sampled adults drinks coffee daily

b)Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67.

Withholding food and fluids before surgery is done to ensure that the patient's stomach is empty. This helps to minimize the risk of aspiration, which occurs when stomach contents enter the lungs. Aspiration can lead to respiratory complications such as pneumonia, which can be dangerous for the patient.

The appropriate response by the nurse is d) It prevents aspiration and respiratory complications. Withholding food and fluid before surgery is important to prevent aspiration, which occurs when stomach contents enter the lungs during surgery, and can cause respiratory complications. It also helps ensure a clear surgical field. However, the patient will still receive necessary fluids and medications through an IV during surgery to prevent dehydration and maintain blood pressure. It is important to follow the healthcare provider's instructions on pre-operative fasting to ensure the safest surgical experience.
d) It prevents aspiration and respiratory complications.
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Answer:

6a - 28

Step-by-step explanation:

combine like terms

3a - 28 - 7a + 10a

3a - 7a + 10a = 6a

have a lovely day :)

Answer:

Step-by-step explanation:

the steps are on the pic

symbolab

tiger-algebra

and

geteasysolution

aregoof for math

Hi,

4 350

9  412.5

x = 412.5/9 ≈ 45.83