Please triple check

Answer:

very easy the answer is 9 × 8 + 2

Step-by-step explanation:

74/9

The area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We know the area in the polar coordinates is given by:

\(\rm A =\int\limits^a_b {\dfrac{1}{2}r^2} \, d\theta\)

We have r = sin2θ

Here the quadrant is not given, so we are assuming we need to find the area in the first quadrant.

Put this value in the above integration and limit 0 to π/2

\(\rm A =\int\limits^{\dfrac{\pi}{2}}_0 {\dfrac{1}{2}(sin^22\theta)} \, d\theta\)

After solving the above integration, we get:

\(\rm A = \dfrac{\pi}{8}\)

Thus, the area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

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Answer:

0.4

Step-b0.y-step explanation:

The statement "if a > √n and b > √n, then n ≠ ab" is saying that if two positive integers, a and b, are both greater than the square root of another positive integer n, then the product of a and b is not equal to n. This statement can be proven by contradiction.

Suppose the opposite is true, and that n = ab, where a and b are positive integers such that a > √n and b > √n. Then, because n = ab, we have n/a = b and n/b = a. But because both a and b are greater than the square root of n, we have √n < a and √n < b. This leads to a contradiction, because it means that n/a = b > √n, but √n is the largest possible value of b such that b < n/a.

Thus, we have proven that if a > √n and b > √n, then n cannot equal ab, and our original statement is true.

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Solving a system of equations we can see that:

First, let's define the variables:

With the given information we can write 3 equations:

A = (3/4)*V

V = K - $18

A + V + K = $386.4

Then we need to solve a system of equations:

A = (3/4)*V

V = K - $18

A + V + K = $386.4

We can first replace the first equation into the third to get:

(3/4)*V + V + K = $386.4

And rewrite the second to get:

k = V + $18

And replace that in the other equation:

(3/4)*V + V + V + $18 = $386.4

Now we can solve this for V:

V*(1 + 1 + 3/4) = $386.4 - $18

V*(11/4) = $368.40

V = (4/11)*$368.40 = $133.96

Now that we know the value of V, we can replace it in:

K = V + $18 = $133.96 + $18 = $151.96

A = (3/4)*V = (3/4)*$133.96 = $100.47

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The width and length of the rectangle will be 4 units and 8 units, respectively.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The width of a square shape is 4 units less than the length. The region of the square shape is 32 square units. Then the equations are given below.

W = L - 4               ...1

L × W = 32           ...2

From equations 1 and 2, then we have

L × (L - 4) = 32

L² - 4L = 32

L² - 4L - 32 = 0

L² - 8L + 4L - 32 = 0

L(L - 8) + 4(L - 8) = 0

(L - 8)(L + 4) = 0

L = 8, -4

Then the width of the rectangle is given as,

W = 8 - 4

W = 4 units

The width and length of the rectangular shape will be 4 units and 8 units, separately.

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Answer:

2.35200000E+15

Step-by-step explanation:

star A distance : 5.88x10^14 miles from the Earth

star B distance : 4*A

\(b = 4 \times a \\ b = 4 \times 5.88x10^14 \\ b = 2.35200000E+15\)

Answer:

Step-by-step explanation:

Answer:

about 6 boxes for each

Step-by-step explanation:

both numbers have a common factor of 6, so 8 plates in each box, and 9 bowls in each box. She would need 12 boxes in total.

Answer:

its 6.1

Step-by-step explanation:

so we use this formula to find it 950=4/3×3.14×r^3

Answer:

b. Radius is 6.1cm.

Step-by-step explanation:

R=(3xV/4π)^⅓

R=(3x950/4π)^⅓≈6.09834

R= 6.1cm

Answer:

The equation is \((x - 2)^2 + (y + 7)^2 = 9\)

Step-by-step explanation:

Answer:

C

D

Step-by-step explanation:

Point slope form is written in

y - y1 = m(x - x1)

Where m is the slope and (x1, y1) is a point on the line.

Looking at the values we have m = 1/2 and x1 = 1, y1 = 4.

Therefore the slope is 1/2 and the point is (1,4)

Answer:

16

Step-by-step explanation:

Answer:

B. 16 feet

Step-by-step explanation:

The tree and well are to scale.

6x4 is 24

so that means that 4x4 is 16.

Answer:  gal / min

Step-by-step explanation:

Answer:

If your question is how much money you have after you purchase a duckling and a chick, your answer would be $33. It seems to me like you posted the question without finishing it. I'm guessing you were about to mention how many ducklings and chicks you were going to buy and how much money you would have leftover for the poultry.

Step-by-step explanation:

To solve your problem you must add what you're buying and then subtract from your original amount.

For example: if you want one duckling and one chick and you would like to know how much money you have leftover to buy poultry. $15 + $12= $27 dollars in all. Then, you will subtract $27 dollars from $60, this way you know how much money you will have left in order to buy the poultry. $60 - $27= $33.

Air masses are created by patterns of heating and cooling of the Earth's surface. Therefore, option D is the correct answer.

Air masses are large bodies of air that move over the Earth's surface. They are created when large amounts of air are heated and cooled in different areas of the Earth. As the air masses move, they maintain the same moisture, temperature, and other characteristics they had when they originated. Air masses are responsible for many of the weather patterns we experience on Earth.

Therefore, option D is the correct answer.

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Answer:

A. 7

Step-by-step explanation:

We already know that 8+4 = 12, So now we have to find out how to make the equation equal 12.

2×6= 12, we have to find out what x will be in order to make the equation true.

2(7-1) = 2(6) = 12. Substitute the 7 for x.

x = 7

To find the quadratic function in vertex form that satisfies the given conditions, we can start with the general vertex form equation:

f(x) = a(x - h)^2 + k

Where (h, k) represents the vertex of the parabola. Given that the vertex is (4, -10), we can substitute these values into the equation:

f(x) = a(x - 4)^2 - 10

Now, let's use the additional point (-1, 5) to find the value of 'a.' Substituting these values into the equation, we get:

5 = a(-1 - 4)^2 - 10

Simplifying further:

5 = 25a - 10

Adding 10 to both sides:

15 = 25a

Dividing by 25:

a = 15/25

Simplifying:

a = 3/5

Now that we have the value of 'a,' we can substitute it back into the equation to obtain the final quadratic function in vertex form:

f(x) = (3/5)(x - 4)^2 - 10

Therefore, the quadratic function with a vertex at (4, -10) and passing through the point (-1, 5) is:

f(x) = (3/5)(x - 4)^2 - 10\(\)

The thickness measurements of the metal pieces should be centered around a mean value, with the majority of the measurements falling within a certain range and then tapering off towards the tails of the distribution.

Measuring the thickness of pieces of metal with the same dimensions using a micrometer/caliper due to variability in the dimensions caused by errors during the manufacturing process. The distribution of the measurements taken by the entire lab section is expected to resemble a normal distribution, also known as a Gaussian distribution or bell curve.

The reason for this expectation is that the manufacturing process may introduce small, random errors that affect the dimensions of the metal pieces. The central limit theorem states that, given a large enough sample size, the distribution of these random errors will approximate a normal distribution.

The thickness measurements of the metal pieces should be centered around a mean value, with the majority of the measurements falling within a certain range and then tapering off towards the tails of the distribution.

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The system of inequalities is y ≤ 32 - x and y ≥ (168 - 15x)/25.

Jordan is working for two summer jobs. The amount made per hour by walking dogs is $15. The amount made per hour by clearing tables is $25. Jordan can work for a maximum of 32 hours a week. He must earn at least $168.

The number of hours spent walking dogs is represented by "x". The number of hours spent clearing tables is represented by "y". The inequalities formed are :

x + y ≤ 32

15x + 25y ≥ 168

The graph of the common shaded region is attached below. The solutions lie in the first quadrant, where the region is shaded for both the inequalities.

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Note that where you have a data set of positive values, at least two of which are not equal, the sample statistics that will be changed when each value in this data set is multiplied by a constant whose absolute value is greater than 1 is: "I, II and III" (Option E)

First, note that Sample Statistics are values calculated from a sample data.

If we multiply all the numbers in a data set by a bigger number, it will change the mean, median, and standard deviation. The mean, for example, changes because it is the average of all the numbers, so if we make all the numbers bigger the mean will also get bigger.

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Full Text:

Consider a data set of positive values, at least two of which are not equal. Hich of the following sample statistics will be changed when each value in this data set is multiplied by a constant whose absolute value is greater than 1?

I. The mean

II. The median

III. The standard deviation

A. I only

B II Only

C. III only

D. I and II only

E. I, II, and Ill

the general equation of a graph is given by

y = mx + c

where m= slope

c=intercept

the equation given is

9x-5y=4

make y subject of formula

9x-4=5y

5y=9x-4

divide through by 5

y=9/5x-4/5

comparing with the general equation

mx=9/5x

m=slope=9/5

Answer:

4. m of angle2 = 42

m of angle 1 = 88

m of angle 3 = 113

Step-by-step explanation:

Social scientists gather data from samples instead of populations because c. populations are often too large to test.

Social scientists often cannot test an entire population due to its size, so they gather data from a smaller group or sample that is representative of the larger population. This allows them to make inferences about the larger population based on the data collected from the sample. The sample size must be large enough to accurately represent the population, but it is not necessarily larger or more complete than the population itself. Trustworthiness, meaning, and interest are subjective and do not necessarily determine why social scientists choose to gather data from samples.

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Rounding to the nearest degree, the direction of u + v is approximately 17°. Therefore, the direction of u + v is 17°.

To find the direction of u + v, we need to first find the components of u and v in the x and y directions:

For vector u:

Magnitude = 50

Direction = 70°

x-component of u = magnitude * cos(direction) = 50 * cos(70°) ≈ 16.225

y-component of u = magnitude * sin(direction) = 50 * sin(70°) ≈ 47.912

For vector v:

Magnitude = 60

Direction = 240°

x-component of v = magnitude * cos(direction) = 60 * cos(240°) ≈ -30

y-component of v = magnitude * sin(direction) = 60 * sin(240°) ≈ -51.961

To find the components of u + v, we add the corresponding components of u and v:

x-component of u + v = 16.225 + (-30) ≈ -13.775

y-component of u + v = 47.912 + (-51.961) ≈ -4.049

The direction of u + v is given by the arctan of the ratio of the y-component to the x-component:

direction of u + v = arctan(-4.049/-13.775) ≈ 16.67°

Rounding to the nearest degree, the direction of u + v is approximately 17°. Therefore, the direction of u + v is 17°.

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Answer: 80 degrees

Step-by-step explanation:

Answer:

the remaining angle of triangle is 80° by the sum of triangle is 180.

Answer:

it would be in the fourth quadrant, directly underneath where it is now. the base would be c and d

Answer:

g+-7

Step-by-step explanation:

Let's simplify step-by-step.

3g−8−(2g−1)

Distribute the Negative Sign:

=3g−8+−1(2g−1)

=3g+−8+−1(2g)+(−1)(−1)

=3g+−8+−2g+1

Combine Like Terms:

=3g+−8+−2g+1

=(3g+−2g)+(−8+1)

=g+−7

Answer:

\(g - 7\)

Step-by-step explanation:

1. Remove parentheses.

\(3g - 8 - 2g + 1\)

2. collect like terms.

\((3g - 2g) + ( - 8 + 1)\)

3. Simplify.

\(g - 7\)

therefor, the answer is g - 7

The circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

The circumference and area of a circle of radius 4.2 cm can be calculated using the following formulas:

Circumference = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14.

Area = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14.

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Given the radius of the circle as 4.2 cm, the circumference of the circle can be found by using the formula for the circumference of a circle. The circumference of a circle is the distance around the circle and is given by the formula C = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the circumference of the circle is calculated as follows:

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Similarly, the area of the circle can be found by using the formula for the area of a circle. The area of a circle is given by the formula A = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the area of the circle is calculated as follows:

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Therefore, the circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

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