HELP! I’ll MARK BRAINLIEST
contestants indoor run-and-bike-a-thon run for a specified length of time, then bike for a specified length of time. Jason ran at an average speed of 5.2 mi/H and biked at an average speed of 20.2 mi/H, go in a total of 14.6 miles. Seth ran at an average speed of 10.4 mi/H and bite at an average speed of 18.8 mi/H, going a total of 17.8 miles. For how long do contestants run and for how long do they bike? Round to the nearest hundred if necessary.

Answer:

The value of g(-2) = -5

Step-by-step explanation:

Explanation:-

Given functions are   f (x) =  3 x - 2 and g(x) = x-3

Given g (x) = x-3

Put x = -2 in g (x) = x-3

⇒  g ( -2 ) = - 2 -3 = -5

The value of g(-2) = -5

Answer:

9. The answer is 208

10. The anwer is 122°

11. m∠1 = 43°

   m∠2 = 17°

   m∠3 = 120°

   m∠4 = 60°

   m∠5 = 60°

   m∠6 = 60°

   m∠7 = 17°

   m∠8 = 120°

   m∠9 = 43°

Step-by-step explanation:

Long explanation that's why I don't have to put it. But I solved it on a scratch  paper so you don't have to doubt me. I hope it helps

9.each side of the equilateral triangle has a length of 190 units.

10.The angles of the triangle are approximately: Angle 1 = 29 degrees

Angle 2 ≈ 10.5 degrees and Angle 3 = 11x - 65 ≈ 139.7273 degrees

11. m∠1 = 43° , m∠2 = 17° , m∠3 = 120° ,  m∠4 = 60° , m∠5 = 60°, m∠6 = 60°

9.Given that two angles in a triangle are 60 degrees each, we have an equilateral triangle, where all three angles are equal to 60 degrees.

In an equilateral triangle, all three sides are also equal. Let's denote the length of each side as "s."

You are given two expressions for the sides: 1. First side: 7x + 19 2. Second side: 11x - 89

Since the triangle is equilateral, all three sides have the same length. Therefore, we can set up the following equation:

7x + 19 = 11x - 89

Now, solve for "x":

Subtract 7x from both sides: 19 = 4x - 89

Add 89 to both sides: 108 = 4x

Divide by 4: x = 27

Now that we have the value of "x," we can substitute it back into either of the expressions to find the length of each side. Let's use the first expression: First side = 7x + 19 = 7 * 27 + 19 = 190

So, each side of the equilateral triangle has a length of 190 units.

10. In a triangle, the sum of all three angles is always 180 degrees. Therefore, to find the value of the second angle when one angle is 29 degrees and the third angle is expressed as 11x - 65 degrees, we can set up the following equation:

Angle 1 + Angle 2 + Angle 3 = 180

Given: Angle 1 = 29 degrees, Angle 3 = 11x - 65 degrees

Let's denote Angle 2 as "A2": 29 + A2 + (11x - 65) = 180

Simplify the equation: A2 + 11x - 36 = 180

Now, you mentioned that Angle 2 is expressed as 11x - 65 degrees. So, we can equate this expression to "A2": 11x - 65 = A2

Substitute this expression for A2 back into the equation: 11x - 65 + 11x - 36 = 180

Combine like terms: 22x - 101 = 180

Add 101 to both sides: 22x = 281

Divide by 22: x = 281 / 22 ≈ 12.7727

Now that we have the value of "x," we can find Angle 2 using the expression 11x - 65: Angle 2 = 11x - 65 = 11 * 12.7727 - 65 ≈ 10.5 degrees

So, the angles of the triangle are approximately:

Angle 1 = 29 degrees

Angle 2 ≈ 10.5 degrees

Angle 3 = 11x - 65 ≈ 139.7273 degrees

11.m∠7 = 17° , m∠8 = 120° ,m∠9 = 43°

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A: The range of the function f(x) is (-3,∞).

B: The horizontal asymptote for y=2^(x+1)−3 is y=-3, the vertical and horizontal asymptote for y=10/x is x=0 and y=0 respectively.

C: The end behaviour of y=2^(x+1)−3 is [x→∞,x→-∞] = [f(x)→∞,f(x)→-3] and the end behaviour of y=10/x is [x→∞,x→-∞] = [f(x)→0,f(x)→0].

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The set of values of the dependent variable for which a function is defined is known as the range of the function.

The range of an exponential function of the form c·n^(ax+b) + k is f(x) > k.

So, the range of function {2^(x+1)}-3 is f(x)>-3.

The range of function 10/x is (-∞,+∞).

So, the range for system of function becomes (-3,+∞).

The line x=L is a vertical asymptote of the function y=2^(x+1)−3, if the limit of the function (one-sided) at this point is infinite.

In other words, it means that possible points are points where the denominator equals 0 or doesn't exist.

So, find the points where the denominator equals 0 and check them.

As it can be seen, there are no such points, so this function doesn't have vertical asymptotes.

Line y=L is a horizontal asymptote of the function y=f(x), if either limx→∞f(x)=L or limx→−∞f(x)=L, and L is finite.

Calculate the limits -

limx→∞(2x+1−3)=∞

limx→−∞(2x+1−3)=−3

Thus, the horizontal asymptote is y=−3.

The line x=L is a vertical asymptote of the function y=10x, if the limit of the function (one-sided) at this point is infinite.

In other words, it means that possible points are points where the denominator equals 0 or doesn't exist.

So, find the points where the denominator equals 0 and check them.

x=0, check:

limx→0+(10x)=∞

Since the limit is infinite, then x=0 is a vertical asymptote.

Line y=L is a horizontal asymptote of the function y=f(x), if either limx→∞f(x)=L or limx→−∞f(x)=L, and L is finite.

Calculate the limits:

limx→∞(10x)=0

limx→−∞(10x)=0

Thus, the horizontal asymptote is y=0.

The end behaviour of a function f(x) describes the behaviour of the function as x approaches +∞ and x approaches -∞.

The end behaviour of y=2^(x+1)−3 is as x approaches +∞, f(x) approaches +∞ and x approaches -∞, f(x) approaches -3.

The end behaviour of y=10/x is as x approaches +∞, f(x) approaches 0 and x approaches -∞, f(x) approaches 0.

Therefore, the range, asymptotes and end behaviour is found.

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The actual height of the statue is option C 231.2 feet.

A scale factor is a number used in mathematics to scale or multiply a quantity or measurement by another factor in order to establish a proportional relationship between two identical figures or objects.

In other terms, the scale factor is the ratio of the corresponding lengths, widths, or heights of the two figures or objects if they are similar, that is, they have the same shape but may range in size. This implies that you may determine the dimension of the second object by multiplying one dimension of one object by the scale factor.

Given that the scale factor is 230:1.

Thus,

actual height of statue / 230 = height of drawing / 1.2 feet

Now,

actual height of statue = (1.2 feet / 1.2 feet) * 230

actual height of statue = 230 feet

Hence, the actual height of the statue is option C 231.2 feet.

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if f has an absolute maximum value at c, then function f '(c) = 0 is True

This statement is true. This is because the first derivative of a function, f', is equal to 0 at the point of an absolute maximum. This is because the first derivative measures the rate of change of a function, and at a maximum, the rate of change of a function is 0. Therefore, if a function has an absolute maximum value at c, then f'(c) = 0.

The statement that if f has an absolute maximum value at c, then f '(c) = 0 is true. This is because the first derivative of a function measures the rate of change of a function. At an absolute maximum, the rate of change of a function is 0, so the first derivative of a function at that point must be 0. Therefore, if a function has an absolute maximum value at c, then f'(c) = 0.

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The question is incomplete. Here is the complete question.

The football team needed to buy Gatorade for Saturday's big game. They have two options. The first option is they can buy it pre-made in 48 ounces bottles for $3.84 for each bottle. Or they can buy packets and mix with water. Each packet makes 64 ounces and will cost $4.80.

a) Find the cost per ounce of each.

b) Which size costs less?

c) The team will need to buy 192 ounces of Gatorade. How much do you save using the choice from answer b?

Answer: a) Pre-made: $0.08 cost per ounce; Packet: $0.075 cost per ounce

              b) Packets

              c) Save $0.96.

Step-by-step explanation:

a) Cost per ounce:

Pre-made:

\(\frac{3.84}{48}\) = 0.08

Packet:

\(\frac{4.8}{64}\) = 0.075

b) Comparing costs per ounce, packets costs less than pre-made.

c) Buying packets, the cost will be:

0.075*192 = $14.4

Buying pre-made:

0.08*192 = $15.36

Comparing costs, pre-made is 0.96 more than packets, so they will save 96 cents.

D & F

Step-by-step explanation:

D scale because all sides are different lengths

F obtuse because one angle is greater than 90 degrees

Look up definition of the other properties and you will see they don't apply

The given triangle is a obtuse and scalene triangle

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangle is an obtuse triangle and scalene triangle.

A triangle whose any one of the angles is an obtuse angle or more than 90° is known as obtuse triangle.

A triangle in which all the three sides have different lengths then it is called as scalene triangle.

Hence, the given triangle is a obtuse and scalene triangle.

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Now if the lemonade is 1.50 he can only buy two because the total amount is 8.30 so it will be 3.00 and the amount left will be 5.00 and you can only buy one cupcake so you will buy two lemonades one cupcake

Answer:

3

Step-by-step explanation:

You spend $8.30 total. Subtract the $5 for the cupcakes, and you're left with $3.30 to spend on lemonade.

Since you bought the dozen cupcakes, you get the lower price for the lemonade. Lemonade was $1.25, but subtract $0.15 and it's now $1.10/quart

3.30 divided by 1.10 = 3

The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.

The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.

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Answer:

x = 2

Step-by-step explanation:

2ln4x = 2ln8

ln4x = ln8

4x = 8

x = 2

Answer:

2 is corresponding angles

3 is alternate interior angles

4 is sum of angles

Answer:

615.6

Step-by-step explanation:

area of sphere formula

4πr²

4×3.14×7²

=615.6

Step-by-step explanation:

As we can see it a right angled triangle

so <y =90°

Now

3x + 11° + 25° + 90° = 180°{being sum of angles of triangle}

3x + 126° = 180°

3x = 54°

X = 18°

The z-score is -0.933 and the interpretation is that Andy's score is -0.933 standard deviations away from the mean.

From the question, the given parameters about the distribution are

Mean value of the set of data = 100

Standard deviation value of the set of data = 15

The actual data value = 86

The z-score of the data value is calculated using the following formula

z = (Actual data - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (86 - 100)/15

Evaluate the difference

z = -14/15

Evaluate the quotient

z = -0.933

This means that the score is -0.933 standard deviations away from the mean.

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Complete question

The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points.

Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score and what does that mean in context?

The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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Answer:

what is meaning of ¥?...................

The solution to the system of equations is (x, y) = (1, 3).

We have,

We use the elimination method on the two equations:

-3x + 4y = 9

2x + 4y = 14

We can eliminate y by subtracting the second equation from the first equation:

-3x + 4y - (2x + 4y) = 9 - 14

Simplifying the left side and the right side, we get:

-5x = -5

Dividing both sides by -5, we get:

x = 1

Let's use the first equation:

-3x + 4y = 9

Substituting x = 1.

-3(1) + 4y = 9

Simplifying and solving for y.

4y = 12

y = 3

Therefore,

The solution to the system of equations is (x, y) = (1, 3).

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Work Shown:

8x^2 + 6x - 8

8(2)^2 + 6(2) - 8

8(4) + 6(2) - 8

32 + 12 - 8

44 - 8

36

Explanation: I replaced each copy of x with 2. Then I used the order of operations (PEMDAS) to simplify to a single number. You can use a regular calculator or a graphing calculator to verify the final answer.

The term "Objective Function" refers to a mathematical model in linear programming which maximizes as well as minimizes some quantity.

Thus, in either a mathematical optimization problem, the objective function is the real-valued function for whom value must be minimized or maximized well over set of feasible alternatives.

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No matter how much experience you have, good traders never stop learning.

Quite often, we have to learn the same lessons over and over, yet we will still make the same mistakes. It is important to constantly remind ourselves of key principles.

Last week I covered five of the 10 most important lessons I've learned in my 25-year career as a trader.

These lessons are:

In fact, Losing trades are just part of the process of finding winning trades. There is no shame in picking a stock that turns out to be a dud. If you don't have losing trades, then you probably are not taking sufficient risk. The only way you can produce great returns is to accept the fact that there is risk and that a trade may not work.

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The probability that no greater than 150 calls will be received any day is 0.0283 (rounded off to four decimal places).

Given that the customer service department receives 150 calls per day, the number of calls received is Poisson distributed.To find the probability that no greater than 150 calls will be received any day, we need to find the Poisson probability distribution with parameter λ and x=150.In Poisson probability distribution, the probability of getting x occurrences in a given time period is given byP(x) = (λ^x * e^-λ) / x!where λ is the average number of occurrences in the given time period. The value of λ is given as 150 in the question.Substituting the given values into the formula:P(x ≤ 150) = Σ P(x = i), where i ranges from 0 to 150.P(0 ≤ x ≤ 150) = Σ P(x = i), where i ranges from 0 to 150.Here, x is a random variable representing the number of calls received in a day.

Then the probability of receiving at most 150 calls in a day can be calculated as follows:P(x ≤ 150) = Σ P(x = i), where i ranges from 0 to 150.Substituting the values in the Poisson probability formula,P(x = i) = (λ^i * e^-λ) / i!= (150^i * e^-150) / i!P(x ≤ 150) = Σ (150^i * e^-150) / i!, where i ranges from 0 to 150.Then we need to add all the Poisson probabilities up to i=150, and report it as a number between 0 and 1.The required probability that no greater than 150 calls will be received any day isP(x ≤ 150) = Σ (150^i * e^-150) / i!= 0.0283 (rounded off to four decimal places).Therefore, the probability that no greater than 150 calls will be received any day is 0.0283 (rounded off to four decimal places).

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Answer:

50

Step-by-step explanation:

use a ruler

Answer: 63.4

Step-by-step explanation:

Just got it right on Acellus:)

Answer:

$5,172.93

Step-by-step explanation:

We're gonna use the simple interest formula: P = A(1 + r(t))

P = final amount

A = starting amount (4,678)

r = rate (0.073)

t = years (529/365)

P = 4,678(1 + 0.073(529/365))

P = 5,172.9324

Step-by-step explanation:

rational numbers, irrational numbers, integers, whole numbers, and natural numbers.there are five subset

Answer:

Step-by-step explanation:

Answer:

4xy(3a+2b+1)

Step-by-step explanation:

1)  Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?

It is 4.

2 -  What is the highest degree of \(a\)  that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since a is not in every term.

3 -  What is the highest degree of \(x\) that divides evenly into 12axy, 8bxy and 4xy?

It is x.

4 - What is the highest degree of \(y\)  that divides evenly into  12axy, 8bxy and 4xy?

It is y.

5 -  What is the highest degree of \(b\) that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since \(b\) is not in every term.

6 - Multiplying the results above,

GCF = 4xy

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

\(4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )\)

3) Simplify each term in parentheses.

\(4xy(3a+2b+1)\)

A simple random sampling of 5 observations from a population containing 400 elements was taken. Then, the point estimate of the population means is 18.

You have a simple random sample of 5 observations from a population containing 400 elements, and the observed values are 12, 18, 19, 20, and 21.

To calculate the point estimate of the population mean, we simply take the average of the sample values.

Point estimate of population mean = (12 + 18 + 19 + 20 + 21)/5 = 18

Therefore, the point estimate of the population means is 18.

To clarify the terms used in the question, a "random sample" is a sample that is selected randomly from the population, meaning that every element in the population has an equal chance of being included in the sample. In this case, a simple random sample of 5 observations was taken. "Elements" refers to the individual units or objects within the population that is being studied. In this case, there were 400 elements in the population.

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Answer:

p=10320^2

Step-by-step explanation:

formula:

p=4a

a=2580cm^2

To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.

In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:

lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|

Simplifying the expression, we get:

lim(n→∞) |7(n+1)/n|

As n approaches infinity, the limit evaluates to:

lim(n→∞) |7(n+1)/n| = 7

Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.

However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.

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Answer:

the answer is the first one! please mark brainliest

Answer:

20 = 20

Step-by-step explanation:

I just did the assignment and got it right.