X 2.2.PS-15
Challenge The price of Stock A at 9 A.m. was $12.96. Since then, the price has been increasing at the
rate of $0.11 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of
$0.12 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the
same?
In how many hours will the prices of birch stocks be the same?

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%.

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%. This probability is derived from statistical analysis considering the correlation between lecture attendance and exam scores. By attending all lectures, the student receives comprehensive instruction, indicating a high likelihood of success.

The calculated probability implies a 97.13% chance of achieving the desired score. However, it's important to note that this prediction assumes lecture attendance as the sole influencing factor and doesn't account for individual study habits or other variables.

While attending lectures is beneficial, it's also crucial for students to engage in additional studying and practice to optimize their chances of achieving the desired grade.

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The center-radius form of the equation of the circle with center (0, 0) and radius 2 is\(`(x - 0)^2 + (y - 0)^2 = 2^2` or `x^2 + y^2 = 4`.\)

The center-radius form of the equation of the circle is given by \(`(x - h)^2 + (y - k)^2 = r^2`\), where (h, k) is the center and r is the radius of the circle.

Given the center of the circle as (0, 0) and the radius as 2, we can substitute these values in the center-radius form to obtain the equation of the circle:\(`(x - 0)^2 + (y - 0)^2 = 2^2`or `x^2 + y^2 = 4`.\)

This is the center-radius form of the equation of the circle with center (0, 0) and radius 2.

The equation describes a circle with radius 2 units and the center at the origin (0,0).

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Answer:

Number 1 is S

Number 2 is 0.4

Number 3 is 8 yards per second

Number 4 is 4 hours.

Answer:

1375 square inches

Step-by-step explanation:

Rectangle 1

Area= 25*10= 250 square inches

Rectangle 2

Area= 75*15= 1125 square inches

Total Area of rectangle= 1125+250

=1375 square inches

The rocket takes approximately 2 seconds to reach its maximum height, and it reaches a maximum height of approximately 19.6 meters. It takes approximately 4 seconds for the rocket to hit the ground.

To solve this problem, we can use the equations of motion. Let's assume that the rocket is fired upwards with an initial velocity u of 19.5 m/s and an initial height h of 1.5 meters. The acceleration due to gravity is -9.81 m/s^2 (negative because it acts downwards).

Using the equation of motion for displacement s, we can find the time t it takes for the rocket to reach its maximum height:

s = ut + (1/2)at^2

At maximum height, the final velocity of the rocket is 0, so we can use:

v = u + at

Substituting v = 0, u = 19.5 m/s, and a = -9.81 m/s^2, we get:

t = u/a

Using this value of t in the equation for s, we get:

s_max = u(t/2) + (1/2)a(t/2)^2

s_max = (19.5/2)(19.5/9.81) + (1/2)(-9.81)(19.5/9.81)^2

s_max ≈ 19.6 meters

To find the time it takes for the rocket to hit the ground, we can use the equation of motion for displacement again:

s = ut + (1/2)at^2

We want to find the time t when the rocket hits the ground, so we can use s = 0 and solve for t:

0 = 19.5t + (1/2)(-9.81)t^2

This is a quadratic equation that we can solve for t using the quadratic formula:

t = (-19.5 ± √(19.5^2 - 4(-4.905)(0))) / (2(-4.905))

t ≈ 4 seconds (we take the positive root since time cannot be negative)

Therefore, the rocket takes approximately 2 seconds to reach its maximum height, reaches a maximum height of approximately 19.6 meters, and takes approximately 4 seconds to hit the ground.

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Answer:

If sin 115 degrees≈ 0.91 and cos 115 degrees = -0.42, then sin -115 = -0.91 and cos -115 degrees = 0.42

Step-by-step explanation:

Answer:

456.63

Step-by-step explanation:

Answer:

5

I hope this helps!

Answer:distance beetween 4, -3 =-7  distance beetween 4,2=2

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Answer: 10

Step-by-step explanation:

You just add them together-

Step-by-step explanation:

using Pythagoras theorem :

hyp²= opp² + adj²

x²= 7² + 3²

x² = 49 + 9

x² = 58

take the root of both sides

x = √58

x = 7.62

Answer:

I am pretty sure it is 69 meters per 1 second

Step-by-step explanation:

Because you divide 2070 with 30 and you get 69.

Answer:

69

Step-by-step explanation:

To do this question, you have to do 2,070 divided by 30 so your answer would be 69

Answer:

6

Step-by-step explanation:

72 divided by 12 equals 6

Answer: it is (a)

explanation: in took the test :)

Answer:

5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 10^2 = (5 sqrt(5))^2

a^2 +100 = 25(5)

a^2 +100 = 125

a^2 = 125-100

a^2 = 25

Taking the square root of each side

sqrt(a^2) = sqrt(25)

a = 5

There are 33 numbers that are less than 200 and divisible 4 but not divisible 12. this can be solved with the help of simplification.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Main body:

Given that,

To determine how many natural numbers less than 200 are divisible by 4, but not divisible by 12.

Here,

Let the largest number divisible by 4 less than 200 is 198

The total numbers divisible by 4 and less than 200 is,

= 198 / 4 = 49

Similarly

The total number divisible by 12 and less than 200 is,

= 192/ 12 = 16

So the numbers that are less than 200 but divisible 4 not by 12 is,

= 49 - 16

= 33

Hence, there are 33 numbers that are less than 200 and divisible 4 but not divisible 12.

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We will use Dirichlet's test to determine if the series converges. Let {an} and {bn} be the sequences defined as follows:

an = (-1)^(n+1) and bn = 1/n

Then, we can write the series as:

∑ (an * bn) = 1*(-1/1) - 1/2*(1/2) - 1*(-1/3) + 1/4*(1/4) + 1*(-1/5) - 1/6*(1/6) - ...

To apply Dirichlet's test, we need to show that:

The sequence {an} is bounded and monotonically decreasing.

The sequence of partial sums of {bn} is bounded.

For (1), note that |an| = 1 for all n and an is alternating in sign. Also, an+1 < an for all n, so {an} is monotonically decreasing.

For (2), note that the partial sums of {bn} are given by:

S_n = 1 + 1/2 + 1/3 + ... + 1/n

which is known as the harmonic series. It is well-known that the harmonic series diverges, but we can show that its partial sums are bounded as follows:

S_n = 1 + 1/2 + (1/3 + 1/4) + (1/5 + 1/6 + 1/7 + 1/8) + ... + (1/(2k-1) + 1/2k) + ... + 1/n

> 1 + 1/2 + 1/2 + 1/2 + ... + 1/2 + 1/n

= 1 + n/2n

= 3/2

Thus, the sequence of partial sums of {bn} is bounded by 3/2, and so Dirichlet's test implies that the series converges.

Therefore, the series 1 - 1/2 - 1/3 + 1/4 + 1/5 - 1/6 - 1/7 + ... converges.

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Answer:

Step-by-step explanation:

Given

The difference in mass

Earth is 85.71 times heavier than moon

Jupiter is 333.33 times heavier than Earth

Answer:

53

Step-by-step explanation:

\(8 - \frac{m}{n} + {p}^{2} \\ \\ (plug \: m = 8, \: \: n = 2, \: \: p = 7) \\ \\ = 8 - \frac{8}{2} + {7}^{2} \\ \\ = 8 - 4 + 49 \\ \\ = 4 + 49 \\ \\ = 53\)

Answer:53

Step-by-step explanation:

substitute the letters for the numbers then use pemdas

Answer:

5 hours

Step-by-step explanation:

217+43+43+43+43+43=432

Answer:

1. 2x + 1 ≤ 3

2. 1 + 3x ≥ -5

3. 5x - 7 ≥ 17

4. 5 - 3x ≥ 11

Step-by-step explanation:

Ok

5x - 7 ≥ 17

subtract 7 and u get 5x ≥ 10

divide that and you get ≥ 2

so 3 goes with that one

1 + 3x ≥ -5

subtract 1 and you get 3x ≥ -6

divide that and youll get x ≥ -2

so 2 goes with this one

2x + 1 ≤ 3

subtract 1 and u get 2x ≤ 2

divide them and you get x ≤ 1

so 1 goes with this one

5 - 3x ≥ 11

subtract 5 and u get -3x  ≥ 6

divide it and u get x ≥ -2

so 4 goes with this one

Hoped this helps :)

also btw Brainly steals half the points you give out so instead of 15 ur giving me 25.

Step-by-step explanation:

"warmer" means the temperature is higher. so, we need to add the degrees.

on Thursday we have therefore 0 + 7 = 7°F.

this is still not "warm" for a human being, but it is "warmer" than (in the sense of "not as cold as") the original 0°F.

you see, so many basic things in math are just common sense. not rocket science ...

Step-by-step explanation:

step one:

The question is incomplete it did not specify weather the scale was a reduction or an increase in the dimension of the rectangle.

step two:

let us assume it was to be an increase i.e 7x

the length would be 4*7= 28 inches

the width would be 6*7= 42 inches

step three:

Also, we assume it was to a decrease i.e 7x

the length would be 4/7= 0.57 inches

the width would be 6/7= 0.85 inches

The simplest form of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Both given expressions are not equivalent.

What is an expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given expression is 3x + 14 – x + \(1\frac{1}{2}\)

Now combine like terms:

= (3x - x) + (14 + \(1\frac{1}{2}\))

= 2x +  (14 + \(1\frac{1}{2}\))

Convert mixed fraction to improper fraction:

= 2x +  (14 + 3/2)

= 2x + 31/2

= 2x + \(15\frac{1}{2}\)

The equivalent expression of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Therefore, 3x + 14 – x + \(1\frac{1}{2}\) is not equivalent to 4x + \(1\frac{3}{4}\).

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Answer:

y+6=9(x+4)

Step-by-step explanation:

point slope form is y-y1=m(X-x1)

y1 is -6

x1 is -4

And the slope or m is 9 so we can fill it in

y-(-6)=9(x-(-4))

y+6=9(x+4)

we can fill the equation out to see if it’s true

-6+6=9(-4+4)

0=9(0)

0=0

It is true

Hopes this helps please mark brainliest

For a normal distribution with mean 0 and standard deviation 1 the python line will be 0.627409464153

What is mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. It is known as the "average" and is the most widely used central tendency measure.

What is standard Deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Appropriate function and output are given below

import scipy.stats as st

print(st.norm.cdf(0.325,0,1)

0.627409464153

The python line will be 0.627409464153 for a normal distribution with a mean of 0 and a standard deviation of 1.

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Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

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The probability that at least one child will inherit the hereditary disease is approximately 16.9%.

To calculate the probability that at least one child will inherit the hereditary disease, we can use the concept of complementary probabilities.

The probability of the event "at least one child inherits the disease" is equal to 1 minus the probability that none of the children inherit the disease.

The probability that a child does not inherit the disease is 1 minus the probability that they do inherit the disease, which means it is 1 - 0.06 = 0.94.

Since the couple plans to have three children, we multiply the probability of not inheriting the disease for each child:

Probability of none of the children inheriting the disease = 0.94^3 = 0.830584.

Finally, we subtract this value from 1 to get the probability of at least one child inheriting the disease:

Probability of at least one child inheriting the disease = 1 - 0.830584 = 0.169416 or 16.9% (rounded to one decimal place).

Therefore, the probability that at least one child will inherit the hereditary disease is approximately 16.9%.

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Answer:

578.5

Step-by-step explanation: