Please help! Tysm!!! ❤✨

Answer:

The distance of the run is 10 miles

The distance of the bicycle race is 69 miles

Step-by-step explanation:

Let:

The run: r = 5t

The bicycle race: 79 - r = 23(5 - t)

Simplify the bicycle race:

Now we have two equations set up for r

We know that r = r, so 5t must equal 23t - 36

Now we know that the run took 2 hours.

Plug it back into the equation for the run to find the distance for the run

The run is 10 miles

To solve for the bicycle race, we simply subtract 10 from 79, because we know that the two distances combined are 79.

The bicycle race is 69 miles.

-Chetan K

Answer:

Step-by-step explanation:

Let r represent the distance run. Then 79-r is the distance biked. The total time is ...

  time = distance/speed

  5 = (r/5) +(79-r)/23 . . . . sum of time running and time biking

  575 = 23r +5(79 -r) . . . . multiply by 115

  180 = 18r . . . . . . . . . . . . . subtract 395

  10 = r . . . . . . . . . . . divide by 18

  79-r = 69 . . . . . . distance biking

The distance of the run is 10 miles; the bicycle race is 69 miles.

The rate at which the ball drops from the height is an illustration of an geometric sequence

The height of the 9th bounce of the ball is 0.4 feet

The given parameters are:

Initial height, a = 4.75

Rate, r = 75%

Bounce, n = 9

The function that represents the height of the ball is:

\(H = ar^{n\)

So, we have:

\(H = 4.75 * (75\%)^{9\)

Evaluate

\(H = 0.4\) --- approximated

Hence, the height of the 9th bounce of the ball is 0.4 feet

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Answer:

0= -42

Step-by-step explanation:

Simplify then add 6 to both sides after simplify again and subtract 2x from both sides then finally combine like terms and simplify the expression.

The area of the polygon is 80 units².

What is a Polygon?

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides.

Dividing the polygon into parts marked in the attached figure so as to calculate the area easily.

For triangle, DEF

Area = \(\frac{1}{2} bh\)

        = \(\frac{1}{2}\) × 3 × 4

       = 6 units²

For triangle BCD

Area = \(\frac{1}{2}bh\)

        = \(\frac{1}{2}\) × 2 × 4

        = 4 units²

For trapezoid ABFG,

Area = \(\frac{1}{2} (a + b) h\)

        = \(\frac{1}{2}\) × (5.5 + 12) × 8

        = 70 units²

Hence, total area = 6 + 4 + 70

                             = 80 units².

Therefore, the total area of the polygon is 80 units².

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Answer:

Below

Step-by-step explanation:

f(-5) = 85 * .95^(-5)   = 109.9 mg remaining after -5 hours   this does not fit the context of the problem  

 ( domain ( values of 'x')  should be   0 ---> infinity)

f(24) = 85 * .95^24 = 24.8 mg remaining after 24 hours   this does fit the context of the problem

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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The conditioned response (CR) in this scenario is the feeling of illness that Jack experiences whenever he sees bread. It is a learned response that has been associated with the moldy bread incident and has become triggered by the sight of bread.

When Jack unknowingly ate the sandwich with moldy bread, he formed an association between the moldy bread and feeling ill. This association was established through classical conditioning, where an unconditioned stimulus (the moldy bread) became paired with an unconditioned response (feeling ill) due to its natural properties.

Over time, this association became learned, and the bread itself became a conditioned stimulus (CS).

As a result, whenever Jack now sees bread, the conditioned stimulus (CS), it triggers the conditioned response (CR) of feeling ill.

The association between the moldy bread and feeling ill has been generalized to bread in general, leading to the automatic and involuntary response.

The CR in this scenario demonstrates the power of conditioning and how an initially neutral stimulus (bread) can come to evoke a response (feeling ill) due to its association with an aversive experience (eating moldy bread).

This learned response can persist even after the initial incident and continue to affect Jack's emotional and physiological reactions to bread in the future.

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Answer:

x=2

PT=7

Step-by-step explanation:

set up the equation like this: PT=TQ

(4x-1)=(2x+3)

calculate to find x

x=2

put x into the equation for PT

4(2)-1=7

The volume of the solid is 64π/3.

We have to use the disk method formula to find the volume of the solid generated by revolving the region bounded by the lines and curves y y=0, x=4, and x = 11 about the x-axis.

The disk method formula is given by:

V= π ∫[a,b]R²(y)

where R(y) is the distance from the axis of revolution to the curve, y is the variable of integration, and [a, b] is the interval of integration.

Let's find the distance from the axis of revolution (x-axis) to the line x = 4 and x = 11.

The radius of the disk when x = 4 is 4 units.

The radius of the disk when x = 11 is 11 units. ∵ y is bounded by the line y = 0∴ limits of integration are 0 to the curve, which is x = 4.

Limits of integration: 0 to 4.

Now, let's put these values in the formula.

V= π ∫[a,b]R²(y)dyV = π ∫[0,4]R²(y)dyV = π ∫[0,4](4² - y²)dy= π [4²y - (y³/3)] [0,4]V = π [(4² * 4) - (4³/3) - 0]= 64π/3

Thus, the volume of the solid generated by revolving the region bounded by the lines and curves y y=0, x=4, and x = 11 about the x-axis is 64π/3.

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a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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In any group of 6 people there always at least 3 people who either all know one-another or all are strangers to one-another.

The Pigeonhole principle states that if n items are put into m containers, with n > m, then at least one container must contain more than one item.

The Pigeonhole principle applies because every person is related to every other person in two ways, either they know the person or they do not.

Given that there is a group of 6 people.

Let us say A,B,C,D,E,F.

Suppose that A has at least three friends. If any two of these three are friends with each other, then together with A, they are a group of three mutual friends. If none of these are friends with each other, then they are a group of three mutual strangers to themselves.

On the other hand, A has fewer than three friends among the other five people, then there must be at least three that are strangers to A. If any two of these are strangers, then together with A, they are a group of three strangers. If none of them are strangers to each other, then they are a group of at least three mutual friends.

Hence it is proved that, in any group of 6 people there are always at least 3 people who either all know one-another or all are strangers to one-another.

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Answer:

y= -1/3x+3 the y-intercept is 3 so plot it at (0,3)

Step-by-step explanation:

pls mark brainliest <3

We want to know which of the given expressions will produce an answer with three significant figures. That is, it has an answer with three nonzero numbers.

Let us find the values to know

Answer:

Estimated=189

Exact=190.026

Step-by-step explanation:

Estimated values

20.7 to nearest whole number= 21

9.18 to nearest whole number= 9

Product means multiplication

Estimated product of 20.7 and 9.18

=21×9

=189

Exact product of 20.7 and 9.18

=20.7 × 9.18

=190.026

It has 3 decimal places

Answer:

The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number,

is

✔ 189

.

The exact product of 20.7 and 9.18 has

✔ 3

decimal places.

Step-by-step explanation: Hope this helps(:

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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We will determine the area of the green section as follows:

Here alpha is the angle [In radians] and r is the radius-

*First: We determine the angle:

Now, we transform it to radians:

*Second: We replace on the equation:

So, the area of the green sector is 69pi/5 square centimeters. [Approximately 43.4 square centimeters]

Answer:

A ≈ 43.4 cm²

Step-by-step explanation:

the area (A) of the green sector is calculated as

A = area of circle × fraction of circle

  given d = 12 then r = 12 ÷ 2 = 6 cm

the central angle of the green sector = 180° - 42° = 138°

then

A = πr² × \(\frac{138}{360}\) ( simplify fraction by dividing numerator/denominator by 6 )

   = π × 6² × \(\frac{23}{60}\)

   = 36π × \(\frac{23}{60}\)

   = \(\frac{36\\pi (23) }{60}\)

   ≈ 43.4 cm² ( to the nearest tenth )

The probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.

The event of getting a "2" and the event of getting a "5" on the first roll of a die are mutually exclusive events because they cannot both occur in the same trial. The probability of either of these events occurring is P(A) = 0.16, and the probability of both events occurring at the same time is P(A ∩ B) = 0.00.

The event of getting a "2" on the first roll and the event of getting a "5" on the second roll of a die are independent events. This can be confirmed using the formula P(A ∩ B) = P(A)P(B). The probability of getting a "2" on the first roll is P(A) = 0.16 and the probability of getting a "5" on the second roll is P(B) = 0.16. Thus, the probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.

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If a=4, b= 7, and B= 75°, the area of triangle ABC is approximately 13.476 square units.

To find the area of triangle ABC given the values of a, b, and B, we can use the formula:

Area = (1/2) * a * b * sin(B)

where a and b are the lengths of two sides of the triangle and B is the angle between them, measured in degrees.

Substituting the given values, we get:

Area = (1/2) * 4 * 7 * sin(75°)

Using a calculator to evaluate the sine of 75°, we get:

Area = (1/2) * 4 * 7 * 0.96593

Area ≈ 13.476 square units

The formula for the area of a triangle involves using the length of two sides and the angle between them.

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Step-by-step explanation:

Answer:

237

Step-by-step explanation:

Answer:

x^2+1/x^2

(x+1/x)^2 = x^2+1/x^2 +2

(5)^2 = x^2+1/x^2 + 2

25 = x^2+1/x^2 + 2

25-2 = x^2+1/x^2

23 = x^2+1/x^2

Step-by-step explanation:

Answer:

9. 15b + 4

10. 4y + 6

11. 15r+72

12. 130n + 20

Step-by-step explanation:

9. Combine Like terms

10. Combine Like terms

11. Distribute the 8 into (r + 9) then combine like terms

12. Distribute 10 into (3n + 2 + 10n) then combine like terms

Answer:

\(\mathsf {9) 15b + 4}\\\mathsf {10) 4y + 6}\\\mathsf {11) 15r + 72}\\\mathsf {12) 130n + 20}\)

Step-by-step explanation:

\(\textsf {Question 9}\)

\(\mathsf {3 + 8b + 4 + 7b - 3}\)

\(\mathsf {8b + 7b + 4 + 3 - 3}\)

\(\mathsf {15b + 4}\)

\(\textsf {Question 10}\)

\(\mathsf {8 + 7y - 3y + 2 - 4}\)

\(\mathsf {7y - 3y + 8 + 2 - 4}\)

\(\mathsf {4y + 6}\)

\(\textsf {Question 11}\)

\(\mathsf {8(r + 9) + 7r}\)

\(\mathsf {8r + 8(9) + 7r}\)

\(\mathsf {8r + 7r + 72}\)

\(\mathsf {15r + 72}\)

\(\textsf {Question 12}\)

\(\mathsf {10(3n + 2 + 10n)}\)

\(\mathsf {10(13n + 2)}\)

\(\mathsf {10(13n) + 10(2)}\)

\(\mathsf {130n + 20}\)

Answer:

2 ki power 6

Step-by-step explanation:

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \tt \: ( 2 ^ { 3 } ) ^ { 2 } \\ \)

Use the rules of exponents to simplify the expression. To raise a power to another power, multiply the exponents.

\( \sf \: 2^{3\times 2} \\ \)

Multiply 3 times 2.

\( \sf \: 2^{6} \\ \)

Raise 2 to the power 6 to get 64.

\( \sf \: 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ = \sf8 \times 8 \\ = \boxed{\boxed{\bf \: 64}}\)

Answer:

its 30

Step-by-step explanation:

can you please mark me as brainliest

Answer:

P(nickel or dime) = 3/4

Step-by-step explanation:

First, find the total amount of coins that there are:

6 + 14 + 16 + 4 = (20) + (20) = 40

You are trying to find P(nickel or dime). Note that there are 14 nickels, and 16 dimes. Add these two numbers together:

P(Nickel or dime) = (14 + 16)/40

P(Nickel or dime) = (30)/40

Simplify. Divide common factors from both the numerator & denominator (10)

P(Nickel or dime) = (30/40)/(10/10) = 3/4

P(nickel or dime) = 3/4

~

Answer:

88 yards

Step-by-step explanation:

because the park is 11 inches wide in the drawling, and the scale of it is 1:8

so the actual width of the park is

\(11/1/8=11*8=88 yards\)

11 divided by 1/8

Answer:

To write the expression (16x^4 y^6)^(-2/3) as a radical expression in the simplest form, we can use the property that (a^m)^n = a^(m*n), where a is a non-negative number and m and n are any real numbers. Applying this property, we get:

(16x^4 y^6)^(-2/3) = [(16x^4 y^6)^(1/3)]^(-2)

Now, we need to simplify the expression inside the square brackets. We can factor 16 as 2^4, and since we're taking the cube root, we can take out one factor of 2 from each term inside the parentheses:

(16x^4 y^6)^(1/3) = [(2^4 x^4 y^6)^(1/3)] = 2x^(4/3) y^(2)

Substituting this into the previous expression, we get:

(16x^4 y^6)^(-2/3) = [2x^(4/3) y^(2)]^(-2) = 1/[2^2 x^(4/3 * 2) y^(2*2)] = 1/(4x^(8/3) y^(4))

Therefore, the expression (16x^4 y^6)^(-2/3) can be written as 1/(4x^(8/3) y^(4)) in the simplest radical form.

Applying the centroid theorem, the length of QK in the triangle is: 10.

The centroid of a triangle is the point of intersection of the three medians of the triangle. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposing side. T

The Centroid Theorem states that the centroid of a triangle is located two-thirds of the distance from each vertex to the midpoint of the opposite side.

In other words, if G is the centroid of triangle ABC, then AG = (2/3)AD, BG = (2/3)BE, and CG = (2/3)CF, where D, E, and F are the midpoints of sides BC, AC, and AB, respectively.

Therefore, given that:

Q is the centroid of ΔJKL

PQ = 5

Thus, PQ = 1/3(PK) [according to the centroid theorem]

Substitute:

5 = 1/3(PK)

15 = PK

PK = 15

QK = PK - PQ

QK = 15 - 5

QK = 10 units

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Answer:

ang electricity ay 150 at ang sagot ay 7.65

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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Answer:h

Step-by-step explanation: