It is 3{:}32\text{ p.M.}3:32 p.M.3, colon, 32, start text, space, p, point, m, point, end text and Emma has gymnastics lessons at 6{:}00\text{ p.M.}6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text

Answer:

\(\huge\boxed{\sf m = 11}\)

Step-by-step explanation:

-7m + 10m - 8 = 25

3m - 8 = 25

Add 8 to both sides

3m = 25 + 8

3m = 33

Divide 3 to both sides

m = 33/3

m = 11

\(\rule[225]{225}{2}\)

Answer:

(-1,1)

Step-by-step explanation:

Answer:

(- 1, 1 )

Step-by-step explanation:

2x - 3y = - 5 → (1)

3x + y = - 2 → (2)

multiplying (2) by 3 and adding to (1) will eliminate y

9x + 3y = - 6 → (3)

add (1) and (3) term by term to eliminate y

11x + 0 = - 11

11x = - 11 ( divide both sides by 11 )

x = - 1

substitute x = - 1 into either of the 2 equations and solve for x

substituting into (2)

3(- 1) + y = - 2

- 3 + y = - 2 ( add 3 to both sides )

y = 1

solution is (- 1, 1 )

Answer:

254.5

Step-by-step explanation:

there is no explanation

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Based on the definition of congruent triangles, we can state that: C. They are not congruent because only one pair of corresponding sides is congruent.

Congruent triangles refer to a pair of triangles that possess identical shape and size. If two triangles are congruent, it implies that their corresponding sides and angles are precisely equal.

The image that is attached below shows the diagram of triangles FGH and FJH. We see that only one pair of sides are congruent (FH = FH).

This is not enough to conclude that both triangles are congruent. Therefore, we can conclude that:

C. They are not congruent because only one pair of corresponding sides is congruent.

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Answer:

Step-by-step explanation:

answer:289/4

x² + 17x + 12 = 0

x² + 17x = -12

Take half of the second coefficient, square it, then add the result to both sides.

(17/2)² = 289/4

x² + 17x + 289/4 = -12 + 289/4

(x + 17/2)² = 241/4

Answer:

i think it might be 72.5

also theres an app called air math it could possibly help with questions you have

Step-by-step explanation:

.

Answer:

Option A.

Step-by-step explanation:

First lets define a non-linear function.  A non-linear function is a curved line, or in other words, it is not a straight line.  Therefore, the only option without a straight line, is option A.

The area of the walkway is 24π square meters.

To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.

The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).

A_inner = π * \(5^{2}\) = 25π square meters.

The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.

The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).

A_outer = π * \(7^{2}\) = 49π square meters.

Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.

A_walkway = 49π - 25π = 24π square meters.

The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.

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Answer:

c

Step-by-step explanation:

asdfghj

Answer:

7

Step-by-step explanation:

Make the fractions have a denominator of 20.

2/5 times the top and bottom by 4 (because 5 times 4 = 20) = 8/20

So 8 socks are white

1/4 times 5 = 5/20

So 5 socks are black

Add them and subtract from 20 to get the number of gray socks

20-13=7

To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.

The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.

The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.

Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.

Solving for b, we find b = 30.

Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.

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To determine the probability that a man and woman getting married both have at least a bachelor's degree, we need to make certain assumptions.

Firstly, we must assume that the probability of a man having at least a bachelor's degree is independent of the probability of a woman having at least a bachelor's degree. Additionally, we must assume that the population of men and women with at least a bachelor's degree is representative of the population of all married couples.
Assuming these conditions are met, we can estimate the probability of a man having at least a bachelor's degree as well as the probability of a woman having at least a bachelor's degree using data from the relevant population. We can then calculate the joint probability of both events occurring simultaneously by multiplying the probabilities of each event. Without data, it is difficult to provide an exact probability. However, according to the U.S. Census Bureau, as of 2019, approximately 35% of the U.S. population aged 25 and older have at least a bachelor's degree. Therefore, assuming that the probabilities are independent, the probability of a man having at least a bachelor's degree is approximately 0.35, and the probability of a woman having at least a bachelor's degree is also approximately 0.35.
Multiplying these probabilities together, we get an estimated probability of 0.1225 or 12.25% chance that a man and woman getting married both have at least a bachelor's degree. However, it's important to remember that this is only an estimate and may not hold true for all populations or regions.

To determine the probability that a man and a woman getting married both have at least a bachelor's degree, we need to make some assumptions and use the concept of probability.
Assumptions:
1. The probability of a man having a bachelor's degree is independent of the probability of a woman having a bachelor's degree.
2. We know the probabilities of a man and a woman having a bachelor's degree in the given population.
Let P(M) be the probability of a man having a bachelor's degree, and P(W) be the probability of a woman having a bachelor's degree. To find the probability of both the man and the woman having a bachelor's degree, we simply multiply these two probabilities:
P(both have bachelor's degree) = P(M) * P(W)
So, the probability that a man and a woman getting married both have at least a bachelor's degree depends on the individual probabilities of a man and a woman having a bachelor's degree in the population under consideration.

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Answer:

1. 6

2. 8

3. 10

4. 12

5. 14

Step-by-step explanation:

just solve

Answer:

50.25

Step-by-step explanation:

100.50/2=50.25

Answer:

50.25

explanation:

The expression {0^n 1^m 0^k 1′ ∣ k, I, n, m ≥ 0, k > n, and m < n} is an example of a language.

A language is a collection of strings over some alphabet. The term "language" refers to any set of words composed of letters or symbols in a specific order that can be produced by a grammar. If the grammar follows a set of precise rules for generating the words in the language, it is referred to as a formal grammar.

The expression {0^n 1^m 0^k 1′ ∣ k, I, n, m ≥ 0, k > n, and m < n} belongs to a formal grammar. It denotes the set of all binary strings that begin with n 0s, followed by m 1s, followed by k 0s, and ending with a 1. However, m must be less than n, and k must be greater than n.

The expression {0^n 1^m 0^k 1′ ∣ k, I, n, m ≥ 0, k > n, and m < n} is a language of binary strings in which n 0s, followed by m 1s, followed by k 0s, and ending with a 1 are represented.

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Answer:

19

Step-by-step explanation:

If the number of skits is x we can write:

9x + 5 = 176

9x = 171

x = 19

The solution to the system of equations graphed below is,

⇒ (0, 1)

Since, We have to given that;

Two system of equations are,

⇒ g (x) = 3x + 2

⇒ f (x) = |x - 1| + 1

Here, The graph of both system of equation are shown in graph.

We know that;

In a graph, the solution of system of equation are represented by a intersection point of both graph.

Here, In the graph of system of equation,

Intersection point is,

⇒ (0, 1)

Hence, The solution to the system of equations graphed below is,

⇒ (0, 1)

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Answer:

18 adults and 20 children

Answer:

B

Step-by-step explanation:

A function cannot have more than one point on the same x coordinate. So, B is the only option that works.

Answer:

There is only a 25% of the probability

All the required relationship is given below.

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

A linear function: y = mx + b,

and an exponential function : y = a(b)ˣ

In a linear function,

y = mx + b.

m is the slope or rate of change and b is the y-intercept.

In an exponential function: y = a(b)ˣ,

a is the initial value and r is the rate of change.

When the x-values rise by a certain amount, the y-values change in different ways for linear and exponential relationships:

The y-values in a linear connection differ by an equal amount.

The y-values have identical ratios in an exponential relationship.

Because both linear and exponential equations must rise at the same pace as they began, they are similar.

Therefore, the required relationship is given above.

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The metric space ([0,1],∣⋅∣) is complete. The functions Vn(t)=tn are continuous, but the limiting function V(t)={0 for t∈[0,1) and V(t)=1 for t=1 is not continuous.

In the given problem, we are dealing with the metric space ([0,1],∣⋅∣) and the functions Vn(t)=tn. The first part of the problem requires us to show that ([0,1],∣⋅∣) is a complete metric space.

To do this, we can use the fact that (R,∣⋅∣) is a complete metric space and prove that closed subsets of complete metric spaces are also complete.

Moving on to the second part, we need to demonstrate that the functions Vn(t)=tn are continuous for all n. This can be established by using the properties of polynomial functions and the continuity of the power function.

Finally, in the last part, we are asked to prove that the sequence of functions {Vn} converges pointwise to the function V(t)={0 for t∈[0,1) and V(t)=1 for t=1. We can show that V(t) is not continuous by observing the jump discontinuity at t=1.

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Answer:

BC ≈ 8.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle , that is

BC² = AB² + AC² = 7.3² + 4.6² = 53.29 + 21.16 = 74.45 ( square root both sides )

BC = \(\sqrt{74.45}\) ≈ 8.6 ( to 1 dec. place )

Answer:

D.) y-4=3[(x-(-1)]

Step-by-step explanation:

just took the test hope this helps

Answer:

7%

Step-by-step explanation:

Perimeter of a rectangle

P = 2(w + l)

where:

Given:

Therefore, the perimeter of the original rectangle is:

⇒ P = 2(30 + 20)

⇒ P = 2(50)

⇒ P = 100 cm

If the width is increased by 5%:

⇒ new width = 30 × 1.05 = 31.5 cm

If the length is increased by 10%:

⇒ new length = 20 × 1.1 = 22 cm

Therefore, the new perimeter will be:

⇒ P = 2(31.5 + 22)

⇒ P = 2(53.5)

⇒ P = 107 cm

Percentage Increase

\(\sf PI=\dfrac{final\:value-initial\:value}{initial\:value} \times 100\)

Substitute the values:

\(\begin{aligned} \implies \sf Percentage\:increase & = \sf \dfrac{new\:perimeter-original\:perimeter}{original\:perimeter} \times 100\\\\& = \sf \dfrac{107-100}{100} \times 100\\\\& = \sf 7\%\end{aligned}\)

The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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The number of deposits that she has to make in order to reach her goal of saving $475 is 21 weeks.

The equation that represents the total amount Amelia can save is:

Total amount saved ≥ initial deposits + (weekly deposits x number of weeks)

$475 ≥ $60 + $20x

In order to determine the value of x, take the following steps:

Combine similar terms

$475 - $60 ≥ $20x

$415 ≥20x

Divide both sides by 20

x ≥ 20.75

x ≥ 21 weeks

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So the required blanks for the series are filled with:

Blank 1: 4ke⁻ᵏ

Blank 2: ((k + 1)/k)e⁻¹

Blank 3: <

Blank 4: The series is convergent.

The given series is,

\(\sum_{k=1}^{\infty}\) 4ke⁻ᵏ

So the k th term of the series is given by,

aₖ = 4ke⁻ᵏ

Now,

aₖ₊₁/aₖ = (4(k+1)e⁻⁽ᵏ⁺¹⁾)/(4ke⁻ᵏ) = ((k + 1)/k)e⁻¹

Now the value of the limit is given by,

\(\lim_{k \to \infty}\) |aₖ₊₁/aₖ| = \(\lim_{k \to \infty}\) ((k + 1)/k)e⁻¹ = \(\lim_{k \to \infty}\) (1 + 1/k)e⁻¹ = (1 + 0)e⁻¹ = e⁻¹

since e > 2

then e⁻¹ < 1/2

So, e⁻¹ < 1

So, it is less than 1.

since  \(\lim_{k \to \infty}\) |aₖ₊₁/aₖ| = e⁻¹ < 1

Hence the given series \(\sum_{k=1}^{\infty}\) 4ke⁻ᵏ is convergent.

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