The equation y=−x4+5 describes line 1. The equation x+4y=−40 describes line 2.



Which statement is true?

Responses

Line 1 is neither parallel nor perpendicular to line 2.

Line 1 is parallel to line 2.

Line 1 is perpendicular to line 2.

Answer:

a) point (2, 1) is when the ball is on it's way down at 2 seconds

b) vertex (1, 2) is the highest the ball goes, which is 2 at 1 second.

c) y-intercept (0, 1) at time zero the ball is starting at a height of 1.

d) Points (0, 1) and (2, 1) are the points at which the ball starts and when it is in the same position from the ground as when it started, which is 1.

e) zero (x-int) is when the ball hits the ground at 2.5 seconds.

Step-by-step explanation:

Answer:

See below

step by step explanation

A. (2 , 1 ) is point on the parabola . It represents that the height of the ball after 2 second have passed.

b. The vertex is at ( 1 , 2 ) . It represent that the maximum height of the ball which is 2 units to at t = 1 second

c. The y - intercept is ( 0 , 1 ) . It represent that the initial height of ball at t = 0 second is 1 unit.

d. Point ( 0 , 1 ) and ( 2 , 1 )

This point represent the set of point having equal height at two different time. It represents how long before the ball reaches the same height from the starting point.

e. The zero or x - intercept is ( 2.5 , 0 )

It represent the time taken by ball before it reaches the ground.

Hope this helps...

Best regards!!

Answer:

43

Step-by-step explanation:

multiply 4 x c(12)=48

then just plug it in and solve

82-48=34

34+9=43

Answer: 35,000 · 0.87t

Step-by-step explanation: A coefficient is multiplying

Answer:

1) 20 % decrease

2)21% decrease

3)8% increase

4)39.9% increase

5)23 % increase

6) 43.3 decrease

Step-by-step explanation:

Step-by-step explanation:

D=M/V

M=D*V

V= M/D

M is mass

D is Density

V is Volume

Substitute and solve

Answer:

7/16,15/8,13/4,11/2

Step-by-step explanation:

i am not sure but thinking its the wright answer hope it will help you.

Answer:

7/16, 1 1/2, 1 5/8, 1 3/5

Step-by-step explanation:

a simple way to find the smallest to largest is by converting those fractions to decimal. I'll prefer to use a calculator. Then after getting their decimals use the number line system and know which is the highest and lowest from them.

The Intermediate Value Theorem, this implies that there exists at least one root of the equation e^x = x^2 on the interval [-4, 0].

To apply the Intermediate Value Theorem, we need to show that the function defined by f(x) = e^x - x^2 is continuous on the interval [-4, 0] and that it takes on both positive and negative values. First, let's consider the continuity of f(x). Both e^x and x^2 are continuous functions for all real numbers. Subtracting one continuous function from another preserves continuity.

Hence, f(x) = e^x - x^2 is continuous on the interval [-4, 0]. Next, we evaluate f(-4) and f(0): f(-4) = e^(-4) - (-4)^2 ≈ 0.0183 - 16 = -15.9817; f(0) = e^0 - 0^2 = 1 - 0 = 1. Since f(-4) is negative and f(0) is positive, we have f(-4) < 0 < f(0). By the Intermediate Value Theorem, this implies that there exists at least one root of the equation e^x = x^2 on the interval [-4, 0].

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We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.

Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.

This statement is referring to a specific vector-valued function, which we can write as:

f(t) = (0, t^2, ct)

where c is a constant.

The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.

The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.

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A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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Answer

3. 6.4 - 2.218=5.182

4. 51.04 - 23.21=27.83

5. 125.50Php - 78.25Php= 47.25Php

Answer:5.182, 27.73, and 47.25

Step-by-step explanation:

Hope this helps!:)

Answer:

You can just switch them around, 68 + 76×

Answer:

4(19x+17)

Step-by-step explanation:

Answer:

HIIIII GVJJHGNKJMJNNJ SEXIIIJBH

Step-by-step explanation:

Answer: Hi there are sex11  sigZaghahahahah

Step-by-step explanation:  What????????

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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A $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.  A $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

The formula to calculate the value of a CD after a specific duration at a specific interest rate compounded annually is given by:

A = P(1 + r/n)^(nt)

where P is the principal,

r is the annual interest rate,

n is the number of times compounded per year,

t is the number of years, and

A is the value of the CD at maturity.

Here, we need to calculate the value of a $1,000 initial investment in each bank's CD at maturity.

Let's calculate the value of a $1,000 investment in Bank ABC's CD.

P = $1,000

r = 5.0% compounded annually

t = 10 years

n = 1

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.05/1)^(1x10)A = $1,628.89

Therefore, a $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.

Let's calculate the value of a $1,000 investment in Bank XYZ's CD.

P = $1,000

r = 4.95% compounded daily

t = 10 years

n = 365

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.0495/365)^(365x10)A = $1,622.82

Therefore, a $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

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The area occupied by the colony when first observed is 1/9 square centimeter and the doubling time for the colony is approximately 5.57 hours.

Let's start by finding out how many times the colony tripled in the first 12 hours. Since the colony triples every 4 hours, it will have gone through 3 cycles of tripling in 12 hours.

Therefore, the area occupied by the colony when first observed is (3)^2 = 9 times the original area.

Let A be the original area occupied by the colony. Then we have

9A = 1 square centimeter

Solving for A, we get

A = 1/9 square centimeter

The doubling time is the time it takes for the colony to double its area. Let's call this time t. We know that the colony triples every 4 hours, so in t hours it will have tripled twice, or multiplied by a factor of 9. Therefore, we can write

A(0) * 9 = A(0) * 2^(t/d)

where A(0) is the initial area occupied by the colony and d is the doubling time. Solving for d, we get

d = t/log(9/2)

We know that after 12 hours the colony occupies 1 square centimeter, so we can use this information to solve for the doubling time

1/9 * 2^(12/d) = 1

Solving for d, we get

d = 4*log(3) ≈ 5.57 hours

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A . f(×)

IS POLYNOMIAL FUNCTION

or

E

the output of f(×) will remain greater than those of g(×) as input values continue to increase.

CORRECT ME IF I AM WHRONG.

THANK YOU.

Only option A, \(f(x)\) is a polynomial function is the correct answer based on the table given.

A polynomial is mathematical equation consisting of independent variables such that, for each value of the independent variable, the function have a unique value.

As for uniques values of the variable \(x\), the value of the function \(f(x)\) is unique so, \(f(x)\) is a polynomial function.

The function, \(g(x)\) is not a function as it have equal values for two different values of the variable \(x\).

Option E and F are incorrect as, we can see in the table that sometimes the value of \(f(x)\) is more and sometime the value of the function, \(g(x)\) is more.

Thus, only option A is the correct answer.

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Answer:

home loan

\(451\)

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

you do it with.... MATH!

but the answer is 64%

see, 5x5=25

3x3=9

25-9=16

16/25 = 0.64 = 64%

brainliest me for answering that for you, thanks.

Answer:

C. 64%

Step-by-step explanation:

(25 - 9) / 25 = 16/25 = 0.64

Answer:

\(x_1= \frac{20}8 = \frac52; x_2= \frac28\)

Step-by-step explanation:

the x intercepts are the solutions to the equation

\(8x^2-22x+5 = 0\). Quadratic formula it is, unless you can spot one right off the bat. Reduced version since the linear term is even.

\(\frac \Delta 4 = 11^2 -40 = 121-40 =81 = 9^2\\x_{1,2}= \frac{11\pm9} 8\\x_1= \frac{20}8 = \frac52; x_2= \frac28= \frac14\)

Answer:

x = 10

Step-by-step explanation:

given : x : 20 = 5 : x

x/20 = 5/x

 x² = 100

 x = 10

Hope this helps !

Answer:

Nancy

Step-by-step explanation:

Her pumpkin weighed more

[ 18  5  2  ] is  the sum of a vector .

What, in the simplest terms, is a vector?

A quantity or phenomena with both magnitude and direction being independent of one another is called a vector.

                           The phrase also describes how such a quantity is represented mathematically or geometrically.

                                  Velocity, momentum, force, electromagnetic fields, and weight are some natural examples of vectors.

Since u₁ , u₂ = 0

So, u₁, u₂ is an orthogonal set is W .

Since orthogonal  vector are linearly independent , it follows that { u₁, u₂} is linearly independent set .

 \(\frac{u_{1} . y}{u_{1} u_{1} } u_{1} + \frac{u_{2}. y }{u_{2}u_{2} } u_{2}\)

\(\frac{19 + 0 - 3}{1 + 0 + 1} [ 1 0 -1 ] + \frac{38 + 1 + 6}{4 + 1 + 4} [ 2 1 2 ]\)

 = 16/2 [ 1 0 1 ]  + 45/9  [ 2 1 2 ]

  = 8 [ 1 0  - 1 ] + 5 [ 2  1   2  ]

  = [ 18  5  2  ]

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Answer:

c = 0.3

Step-by-step explanation:

c = √0.5² - 0.4² = √0.09 = 0.3

Answer:

#4 is not a function because not every x-value corresponds with only one y-value

Step-by-step explanation:

Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

According to the statement

we have to explain all about the discrete probability distribution and its two conditions which determine that the this probability is a probability distribution.

So, For this purpose, we know that the

Discrete events are those with a finite number of outcomes

And this is other way that we defines that the A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum.

The main example of this is Binomial.

And the two conditions of the probability distribution is :

So, Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

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Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.