Find the area and the circumference of a circle with diameter 10 mmWrite your answers in terms of it, and be sure to include the correct units in your answers.

The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

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Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Answer:

0.99998412723

Step-by-step explanation:

basically i divided 252 by 252.004 and got 0.99998412723 so 252.004 times 0.99998412723 equals 252

I hope this helps!

Answer:

no,

Step-by-step explanation:

The reason for this is because if you were to take away the 4 at the end of both 0's you could easily just multiply by 1 but due to the 4, you can multiply anything to get 252

Answer:

19 is equal or less than X

Step-by-step explanation:

I know this because wherever the arrow goes, that’s equal to X. We also know that if the dot is colored, that means it equals: 19 is equal or less than X.

Answer:

X = 7

Step-by-step explanation:

7 + 1 = 8

7 - 3 = 4

4 is half of 8

Answer:

x = 7

Step-by-step explanation:

To find the value of x we can use similarity ratio

3/6 = (x-3)/(x+1) cross multiply expressions

3x + 3 = 6x - 18

3 + 18 = 6x - 3x

21 = 3x divide both sides by 3

7 = x

Answer:

Step-by-step explanation:

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Answer:

105

Step-by-step explanation:

Answer:

$56,226

Step-by-step explanation:

x = investment

Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;

Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;

We can formulate an equation to solve to get the initial investment:

x(1.0357)²⁰ = 113400

(2.01687752)x = 113400

x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎

x = 56225.5263 → 56226

The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years

The growth rate is the rate of growth of a function with regards to the input variable.

T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars

The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars

The growth rate per annum of The Iron Man's net worth = 10% per annum

The number of years it will take to reach T'Challa can therefore, be found as follows;;

(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)

(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)

x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))

x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years

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A U B is the set containing all elements from both A and B:

A U B = {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20}

A ∩ B is the set containing all elements that are common to both A and B:

A ∩ B = {2, 5, 11, 18, 20}

x = 0.75 is not a function, because the expression x = 0.75 will not change futhor.

Given that,
To determine whether x = 0.75 a function where x is the dollar amount for entrance to the toll road and y is the number of passengers.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
An expression to being a proper function must have at least a dependable and a dependable variable. So, the expression given does not have any dependable variable i.e x = 0.75 So it is not a function.

Thus, x = 0.75 is not a function, because the expression x = 0.75 will not change futhor.

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Let's solve the equation:

Let's now solve the inequality:

Therefore the solution of the inequality is:

Once we know both solutions we conclude that:

The equation has one solution and the inequality have a range of solutions. Therefore the correct choice is the third option.

Answer:

Opal saves more

Step-by-step explanation:

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Answer:

Her pay​ is;

Explanation:

Given that;

She earns $12.38 per hour

and She worked 2 hours last week.

Her pay can be calculated as;

Substituting the given values;

Her pay​ is;

Answer:

c hope this helps

Step-by-step explanation:

Answer:

The correct answer should be C.

The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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There are a total of 2 + 3 + 6 = 11 letters, which gives rise to 11! possible permutations.

Consider one such permutation:

BBHHHOOOOOO

I write one of the Bs in the bold for emphasis. This permutation is not distinguishable (but for the temporary boldface) from

BBHHHOOOOOO

which is to say they both count as the same permutation. To avoid counting this twice, you would divide the total number of permutations by the number of ways you can permute the identical character. In the case of Bs, this can be done in 2! = 2 ways.

Similarly, the 3 Hs can be rearranged in 3! = 6 ways, and the 6 Os can be rearranged in 6! = 720 ways.

Then the total number of distinguishable permutations is

11! / (2! • 3! • 6!) = 4620

As a formula: given a word of length \(N\) with \(n\) different characters that respectively occur \(k_n\) times, the total number of distinct permutations is

\(\dfrac{N!}{k_1! k_2! k_3! \cdots k_n!}\)

where \(k_1+k_2+k_3+\cdots+k_n=N\).

Try this with some simple examples:

• GREECE

This has length 6, with E occurring three times, and every other letter occurs once. The total number of distinct permutations of GREECE is

6! / (1! • 1! • 1! • 3!) = 120

• BANANA

This also has length 6, with B occurring once, N twice, and A three times, so the total number of distinct permutations of BANANA is

6! / (1! • 2! • 3!) = 60

• STATISTICALLY

This has length 13, with one each of C and Y; two each of S, A, I, L; and three Ts. Then the number of distinct permutations is

13! / (1! • 1! • 2! • 2! • 2! • 2! • 3!) = 64,864,800

The value of intergal  \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) is

\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)

In mathematics, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the two main tools used in calculus and are used to calculate areas, volumes, and their generalizations.

The integral \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\)  can be evaluated by first completing the square and then using the substitution method.

Completing the square gives us \(( 3 t^{4} -1 = (3t^{2} -1)^{2} \)\).

We can now make the substitution \(( u = 3 t^{2} -1 \)\)).

Differentiating, we get \(( du = 6t dt \)\)).

Therefore, the integral can be written as\(y=\int_{-2}^{x} \sqrt{(3t^{2}-1)^{2}} \frac{du}{6t} \)\).

Solving the integral, we get:

\(y = \frac{1}{6} \sqrt{(3t^{2}-1)^{2}} +C \)\)

Substituting back into the equation, we get the answer as:

\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)

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Step-by-step explanation:

If n n n is odd, then ( − 72.4 ) n (-72.4)^n (−72.4)n will be negative since the product of an odd number of negatives gives a negative value. Therefore ( − 72.4 ) n (-72.4)^n (−72.4)n is a negative number with an absolute value greater than 1

Answer:

x=6

Step-by-step explanation:

x is the geometric mean of 3 and 12.

3 · 12 = x²

x=6

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Answer:

12-4r

Step-by-step explanation:

4r<12 because r<3 so you flip it.

Answer:

64 marbles

Step-by-step explanation:

The solution is, 24 is the total number of marbles in the bag.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

A bag of marbles only has red and blue marbles.

The bag has a ratio of blue marbles to red marbles of 3:5,

and there are 24 blue marbles in the bag.

we have to find the total number of marbles in the bag.

let, there are x red marbles .

we have,

blue marbles : red marbles = 3:5

so, we get,

blue marbles : red marbles = 24 : x

i.e. 3:5 = 24 : x

so, x = 24 * 5 / 3

or, x = 8*5

or, x = 40

so, there are 24 red marbles .

so, total = 24 + 40 = 64

Hence, The solution is, 24 is the total number of marbles in the bag.

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Answer:

56 degrees

90-34=56

Right-angle triangle, so the 2 angles should add to 90 to make 180 degrees

Hope this helps!