After swimming 80 feet below the surface of the water, a whale swims up 40 feet. Use a number line to help you create an equation that shows the new location of the whale in relation to the water's surface.

A) The equation is -80 + (-40) = -120. The whale is 120 ft below the water's surface.
B) The equation is -80 + 40 = -40. The whale is 40 ft below the water's surface.
C) The equation is -80 + (-40) = -40. The whale is 40 ft below the water's surface.
D) The equation is -80 + 40 = -120. The whale is 120 ft below the water's surface.​

Answer:

Step-by-step explanation:

There are 10 cubes all together.

You want blue and then red with replacement.

Blue

P(B then red) = 3/10 * 4/10 = 12 / 100

12/100 reduces to 3/25

The answer is A

Answer:

A?

Step-by-step explanation:

To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.

To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.

Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).

However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.

Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.

So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.

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The area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (-2, 1) is 6 square units.

To find the area of a pentagon given its vertices, we can divide it into triangles and then calculate the area of each triangle separately.

Let's label the given vertices as A(0, 0), B(3, 1), C(1, 2), D(0, 1), and E(-2, 1). We can divide the pentagon into three triangles: ABD, BCD, and CDE.

To calculate the area of a triangle, we can use the shoelace formula. Let's apply it to each triangle:

Triangle ABD: Coordinates: A(0, 0), B(3, 1), D(0, 1)

Area(ABD) = |(0 * 1 + 3 * 1 + 0 * 0) - (0 * 3 + 1 * 0 + 1 * 0)| / 2

= |(0 + 3 + 0) - (0 + 0 + 0)| / 2

= |3 - 0| / 2

= 3 / 2

= 1.5 square units

Triangle BCD: Coordinates: B(3, 1), C(1, 2), D(0, 1)

Area(BCD) = |(3 * 2 + 1 * 0 + 0 * 1) - (1 * 1 + 2 * 0 + 3 * 0)| / 2

= |(6 + 0 + 0) - (1 + 0 + 0)| / 2

= |6 - 1| / 2

= 5 / 2

= 2.5 square units

Triangle CDE: Coordinates: C(1, 2), D(0, 1), E(-2, 1)

Area(CDE) = |(1 * 1 + 2 * 1 + (-2) * 0) - (2 * 0 + 1 * (-2) + 1 * 1)| / 2

= |(1 + 2 + 0) - (0 - 2 + 1)| / 2

= |3 - (-1)| / 2

= 4 / 2

= 2 square units

Now, we can sum up the areas of the three triangles to find the total area of the pentagon:

Total area = Area(ABD) + Area(BCD) + Area(CDE)

= 1.5 + 2.5 + 2

= 6 square units

Therefore, the area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (-2, 1) is 6 square units.

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Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

The isospin ⊗ spin wavefunctions for the four different spin states of a Δ0 particle, in terms of the wavefunctions of the quarks it is composed of, are:

|3/2, 3/2⟩ = |u↑d↑⟩

|3/2, 1/2⟩ = (√3/2)|u↓d↑⟩ + (√1/2)|u↑d↓⟩

|3/2, -1/2⟩ = (√1/2)|u↓d↑⟩ - (√3/2)|u↑d↓⟩

|3/2, -3/2⟩ = |u↓d↓⟩

The Δ baryons are composed of three quarks: two down (d) quarks and one up (u) quark. The isospin of a particle represents its behavior under rotations in the isospin space, which is related to the behavior of the particle under the strong force. The spin of a particle represents its intrinsic angular momentum.

For the Δ0 particle, which has isospin 3/2, there are four different spin states. Each spin state corresponds to a different combination of up and down quark spin projections along the z axis. The isospin ⊗ spin wavefunctions represent the composite wavefunctions of the quarks that make up the Δ0 particle for each spin state.

In the first spin state, |3/2, 3/2⟩, both the up and down quarks have their spins aligned in the upward direction. In the second spin state, |3/2, 1/2⟩, the up quark has its spin aligned upward while the down quark has its spin aligned downward. The third spin state, |3/2, -1/2⟩, has the up quark with its spin aligned downward and the down quark with its spin aligned upward. Finally, in the fourth spin state, |3/2, -3/2⟩, both the up and down quarks have their spins aligned in the downward direction.

These wavefunctions provide a mathematical description of the different spin states of the Δ0 particle, taking into account the wavefunctions of the constituent quarks. They help us understand the quantum mechanical properties and behavior of the Δ0 baryon in terms of its quark composition.

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She could only solve 24 * 25 if the array has 24 rows and 25 columns or vice versa

From the question, we have the following parameters that can be used in our computation:

Product expression = 24 * 25

An array is a set of items that has rows and columns

The array is not given

However, the true statement is that: for Rosie to evaluate the expression using an array, then the array must be a 24 x 25 array or 25 x 24 array

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Answer:

B. -32 + 12

Step-by-step explanation:

When we solve -4(8-3) we get -20

to solve first subtract 3 from 8 to get 5, then multiply -4 and 5 to get -20

-32 + 12 also = -20 therefore, these expressions are equivalent.

hope this helps!

Answer:

One of Pryor's 10 Laws of shaping is D. Train one behavior at a time is one of Pryor's 10 Laws of shaping. This law emphasizes the importance of focusing on one behavior at a time when shaping behavior.

By doing so, the trainer can avoid confusing the animal and can more effectively reinforce the desired behavior. This law also helps the trainer to break down complex behaviors into smaller, more manageable parts, which can then be shaped individually.

According to Karen Pryor's 10 Laws of Shaping, one of the key principles is to train one behavior at a time. This is important because it helps the learner to focus on mastering a specific behavior without getting overwhelmed or confused by multiple tasks.

By concentrating on one behavior at a time, the trainer can provide clear, consistent reinforcement and feedback, which increases the likelihood of successfully shaping the desired behavior.

Overall, following this law can lead to more successful shaping and training outcomes.

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Among the provided options, Pryor's 10 Laws of Shaping suggests training one behavior at a time. This technique avoids confusion and ensures reliable behavior is established before moving to the next behavior.

According to Pryor's 10 Laws of Shaping, among the given options, the correct answer is: Train one behavior at a time. This rule focuses on the fact that trying to shape multiple behaviors simultaneously can often lead to confusion for the individual or animal being trained. Instead, it's more effective to focus on one behavior at a time, reinforcing each successful approximation towards the target behavior before moving on to the next. The goal is to build a strong, reliable behavior before adding complexity or new behaviors.

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Answer: 11355ml

Step-by-step explanation: It gives you how many milliliters are in one gallon.

Answer:

11,355 mL

Step-by-step explanation:

This problem gives you too much information just to confuse you, but you can ignore it.

There are 3,785 mL in 1 gallon.

How many mL are there in 3 gallons?

(The statement about 4 quarts in 1 gallon is not necessary, so just ignore it.)

If 1 gal has 3,785 mL, then 3 gallons has 3 times as many mL.

1 gal = 3,785 mL

3 × 1 gal = 3 × 3,785 mL

3 gal = 11,355 mL

Answer: 11,355 mL

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

Answer:

B-16

Step-by-step explanation:

jsjjsjdjsjsjxjsjsijsjdjdjjsjzjzijzjsndjidjsjsid

The problem entails calculating the probability for a scenario in which the IRS audits 30% of tax returns at random and a married pair has filed separate returns. Calculate the chances of both husband and wife being audited, just one of them being audited, neither of them being audited, and at least one of them being audited.

a) Probability that both the husband and the wife will be audited: (0.3)² = 0.09 or 9%

b) Probability that only one of them will be audited:

c) Probability that neither one of them will be audited: (0.7)² = 0.49 or 49%

d) Probability that at least one of them will be audited: This is the complement of the probability that neither one of them will be audited. So, the probability that at least one of them will be audited is 1 - 0.49 = 0.51 or 51%.

The relevant terms in this question are probability and statistics. To solve for the probability of each scenario, we used the formulas for independent probabilities and complements.

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An inequality that represents the number of bags of chips, x, the teacher can purchase is \(2.95x \leq 36\).

Given the following data:

To write an inequality that represents the number of bags of chips, x, the teacher can purchase:

In this exercise, you're required to write a mathematical expression to represent the total number of bags of chips (x) that a teacher can purchase without exceeding his or her budget of $36.

Translating the word problem into an algebraic expression, we have;

\(2.95x \leq 36\)

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As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.

Answer:

Step-by-step explanation:

The line RS has a vertical line running through S. The line has the equation of x = - 1

The line running through R (the origin) has a slope to be determined by the points TS

T=6,0

S=-1,4

m = (y2 - y1) / (x2 - x1)

m = (4 - 0)/(-1 - 6)

m = 4/-7

The line you want going through 0,0 has a slope of m1 * m2 = -1 where m1 = -4/7

-4/7 * m2 = - 1

m2 = -1/(-4/7) = 7/4

Since the line goes through 0,0 the equation is y = 7/4 x

====================

The orthocenter must be on a y value determined by x = - 1

The orthocenter is (-1,-7/4)

y = 4/7

The orthocenter is (-1,4/7)

Answer:

2(-3x-6)= -6x-12

Step-by-step explanation:

-6x-12

The derivative of logₐ x (log x with base a) is 1/(x ln a).

Here, the interesting thing is that we have "ln" in the derivative of "log x". Note that "ln" is called the natural logarithm (or) it is a logarithm with base "e". i.e., ln = logₑ.

Further, the derivative of log x is 1/(x ln 10) because the default base of log is 10 if there is no base written.

The derivative of log x (base 10) with respect to x is denoted by d/dx (log x) or (log x)'. Thus,

d/dx(logₐ x) (or) (logₐ x)' = 1/(x ln a)

d/dx(log x) (or) (log x)' = 1/(x ln 10)

d/dx (logₐ x) = 1 / (x ln a)

Substitute a = e on both sides. Then we get:

d/dx (loge x) = 1 / (x ln e)

By the properties of natural logarithms, ln e = 1. So

d/dx (loge x) = 1 / (x · 1)

Thus, d/dx (loge x) = 1.

Replacing loge x with ln x back, we get d/dx (ln x) = 1/x.

Hence, the derivatives of logs are:

d/dx (logₐ x) = 1 / (x ln a) (this is the derivative of common logarithm)

d/dx (ln x) = 1/x (this is the derivative of natural logarithm)

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Answer:

1st answer choice

no because there is no whole number that when multiplied by itself gives 125

Step-by-step explanation:

125 is a perfect cube

5 times 5 times 5 = 125

Answer:

Option A

Step-by-step explanation:

125 is NOT a perfect square, because there is no whole number that multiplies by itself to give 125.

To check the perfectness of a square, take the square root:

\(\sqrt{125} =\) 11.1803399

The above number is NOT a whole number

∴125 is NOT a perfect square

The vector parametrization for the equation of line passing through points (2,5,3) and (6,9,6) is: r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K).

WE know that parameterization of the a curve is provided by each vector-valued function.

Since the pair of equations x = x (t) and y = y (t) that express the coordinates of a point along a curve in terms of such a parameter is known as a parameterization of a curve.

Given passing points:

(2,5,3) and (6,9,6)

In vector form;

Let vector a = 2i + 5j + 3k

Let vector b = 6i + 9j + 6K

Let μ be any constant.

Then, using the vector parametrization:

The equation of line in vector form for the given points is;

r(t)= a + μb

r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K)

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Correct question:

Find the vector parametrization for equation of the line that passes through the points (2,5,3) and (6,9,6). (Give your answer in the form 〈∗,∗,∗〉. Express numbers in exact form. Use symbolic notation and fractions where needed.)

r(t)=?

Answer: $225

Step-by-step explanation:

Let the value of the bond at the purchase price be x.

Based on the information in the question, the equation to solve the question will be:

x + (8% × x) = $243

x + (8/100 × x) = $243

x + 0.08x = $243

1.08x = $243

x = $243/1.08

x = $225

Taylor's mom purchased the bond at $225

The maximum number of real zeros in a polynomial will same as its degree thus 3 degrees will have 3 zeros.

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

An n degree of a polynomial can have a maximum of n number of variables.

For example, a quadratic equation ax² + bx + c = 0 is a two-degree equation so it has a maximum of two roots or zeros.

As per the given a polynomial is having 3 degrees so it will have exactly 3 roots.

Hence "A polynomial can have as many real zeros as the number of degrees it has, therefore one with three degrees can have up to three of them.".

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Answer:

Perpendicular would be -7

Parallel would be 7

Because m = slope and the m is connected to the x (mx)

By using 2.5th and 97.5th percentile of these values.

Bootstrapping:

Bootstrapping, a test or measure that uses random sampling with replacement to simulate the sampling process, falls within the more general area of resampling techniques. For example, bias, variance, confidence intervals, prediction error, etc. are used to rate the accuracy of sample estimates when using bootstrapping.

                                                          A random sample with replacement from the original sample must be taken thousands of times in order to determine the 95% confidence interval for the population standard deviation. You calculate the sample standard deviation from each fresh sample.

From the values of the 2.5th and the 97.5th percentile of these data, we can use the bootstrap method to determine the 95% confidence interval for the population standard deviation.

So we need to use 2.5th and the 97.5th percentile of these values.

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Answer:    Find the square roots and the multiply that by 4

Step-by-step explanation:

hope this helped

the growth factor is simply the same amount, but in decimal format, so what is 5.1% of anything?

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.1\% of anything}}{\left( \cfrac{5.1}{100} \right)anything}\implies 0.051(anything)\)

so the growth factor is simply the decimal format of 0.051.

Answer:

Step-by-step explanation:

Answer:8xy-16x^2y +24xy^2

X^6-8

Step-by-step explanation: