One night a thief sneaks into your house and steals some of the twinkie supply from your vault. They take a half of your twinkies, and (because they are mean) t

Answer:

The diver is at a depth of \(-5\frac{1}{15}\).

_____________________________________
What we have given:

Initial dive: \(1\frac{2}{3}\) = \(x\)
Additional dive: \(3\frac{2}{5}\\\) = \(z\)

Given the context, we can assume that sea level is 0ft.

So we have:
\(d=0-1\frac{2}{3}-3\frac{2}{5}\) (d = depth)|

\(d=0-\frac{5}{3}-\frac{17}{5}\) <- Convert mixed numbers to improper fractions.
\(d=-\frac{5}{3}-\frac{17}{5}\) <- Simplify.
\(d=-\frac{25}{15}-\frac{51}{15}\) <- The LCM between 3 and 5 is 15, so adjust the fractions accordingly.

(NOTE: Remember everything you do to the denominator must be replicated on the numerator as well!)

\(d=\frac{-25-51}{15}\) <- Since the denominators are equal, combine the fractions.
\(d=\frac{-76}{15}\)
\(d=-\frac{76}{15}\) <- Apply the following fraction rule = \(\frac{-a}{b}=-\frac{a}{b}\)
\(d=-5\frac{1}{15}\) <- Convert the improper fraction to a mixed number and there is your final answer.

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Have a WONDERFUL day!

Hi, there.

  ______

Let's solve the equation \(\boldsymbol{y=mx+b}\) for x.

First off, subtract b from both sides:

\(\boldsymbol{y-b=mx}\)

Next, divide both sides by m:

\(\boldsymbol{\dfrac{y-b}{m}=x}\)

Hope the answer - and explanation - made sense,

happy studying!!

Answer:

\( \sf \bold {\frac{y - b}{m} = x }\\ \)

Step-by-step explanation:

\( \sf \: y = mx + b\)

To remove b, subtract b from both sides.

\( \sf \: y - b = mx\)

To remove m, divide both sides by m.

\( \sf \frac{y - b}{m} = \frac{mx}{m} \\ \)

\( \sf \frac{y - b}{m} = x \\ \)

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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The areas of the rectangles given in this problem are:

1. 21.

2. 4a.

3. mn.

The area of a rectangle of length l and width w is given by the multiplication of the dimensions, that is:

A = lw.

For this problem, each item gives the dimensions and we just have to find the areas, hence:

1. 7 x 3 = 21.

2. 4 x a = 4a.

3. m x n = mn.

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Answer:

A

Step-by-step explanation:

You said fast so no explanation

Answer:

Rate of 18 miles an hour

Step-by-step explanation:

The rate is the height of the pile changing when it is 8 feet is:

dh/dt=60/256π

The volume of a cone is defined as the amount of space or capacity a cone occupies, and it is measured in cubic units like cm³, m³, and in³.

The volume of a cone is given as V = (1/3)πr²h.

If the radius of the base of the cone is "r"

height of the cone is "h",

Let r = radius of the base at time t

    h = height at time t

    V = volume of cone at time t

Given:  dV/dt = 20

Find dh/dt when h = 8

V = (1/3)πr²h   Since 2r = 4h, r = 2h

V = (1/3)π[2h]²h

  = (2/3)πh³

dV/dt = (4/3)πh²(dh/dt)

Now, substitute the values we get

20 = (4/3)π(8)²(dh/dt)

20=4/3π×64(dh/dt)

20=256π/3(dh/dt)

60/256π=dh/dt

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Answer:

10

Step-by-step explanation:

Answer:

\(\sqrt{3}\cdot 2\sqrt{2}= 2 \sqrt{6}\)

you can't simplify it any more

Part A: k = 8.4, to find the value of k, we must solve for k in the equation.

Part B: 193°F is the temperature of the water after 4.5 minutes.

Initial temperature is the temperature of a system before it undergoes a change. It can be calculated by subtracting the change in temperature from the final temperature.

Part A: k = 8.4

To find the value of k, we must solve for k in the equation.

We are given the temperature of the room (67°F) and the initial temperature of the water (208°F).

We are also given the temperature of the water after 3 minutes (193°F). We can plug these values into the equation and solve for k:

T-Ta = k(To-T)

193-67 = k(208-193)

126 = 15k

k = 126/15

k = 8.4

Part B: 193°F

To find the temperature of the cup of water after 4.5 minutes, we can plug the k-value we found in Part A into the equation, along with the given temperature of the room (67°F) and the initial temperature of the water (208°F).

T-Ta = k(To-T)

T = Ta + k(To-T)

T = 67 + 8.4(208-T)

T = 67 + 1747.2 - 8.4T

9.4T = 1814.2

T = 193

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Part A: k = 8.4, to find the value of k, we must solve for k in the equation.

Part B: 193°F is the temperature of the water after 4.5 minutes.

The temperature of a system at the start of a shift is called the initial temperature. You can figure it out by deducting the final temperature from the temperature difference.

Part A: k = 8.4

We must answer for k in the equation in order to determine its value.

We are informed of the room's temperature (67°F) and the water's starting temperature (208°F).

After three minutes, we are also told the water's temperature (193°F). We can solve for k by entering these numbers into the equation:

T-Ta = k(To-T)

193-67 = k(208-193)

126 = 15k

k = 126/15

k = 8.4

Part B: 193°F

We can enter the k-value we discovered in Part A, the given room temperature (67°F), and the starting temperature of the water (208°F) into the equation to determine the temperature of the cup of water after 4.5 minutes.

T-Ta = k(To-T)

T = Ta + k(To-T)

T = 67 + 8.4(208-T)

T = 67 + 1747.2 - 8.4T

9.4T = 1814.2

T = 193

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The complete question is,

EXIT TICKET

After heating up in a teapot, a cup of hot water is poured at a temperature of 208^0F . The cup sits to cool in a room at a temperature of 67^0 F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between temperature of the water and the temperature of the room, as given by the formula shown below.

Part A: If the cup of water reaches the temperature of 193^0 F after 3 minutes. Find the value of k, to the room, as given by the formula shown below. nearest thousandth.

Part B: Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4.5 minutes.

Answer: The third one

Step-by-step explanation:

Answer:

M6 is 70 degrees. All u have to do is add a zero to the back number

The solution for the inequality will involve an inequality symbol that points to the left.

The given problem involves finding the solution for the inequality, which represents the Pirouette Dance Team's fundraising goal. Since they need more than $300 to cover the costume expenses and have only $75, they plan to sell raffle tickets at $5 each to raise money. Thus, the inequality that represents this situation is 5r + 75 > 300, where r is the number of raffle tickets sold. This inequality can be simplified to 5r > 225 or r > 45.

Therefore, the solution for the inequality involves an inequality symbol that points to the left, indicating that they need to sell more than 45 raffle tickets to meet their fundraising goal.

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The Department of Zoology at Virginia Tech conducted a study to compare the density of organisms at two different stations on Cedar Run, a secondary stream in the Roanoke River drainage basin. The study aimed to determine if there was a significant difference in the variances of the number of organisms per square meter of water at the two locations.

To test the hypothesis at the 0.05 level of significance that sigma^2_1 = sigma^2_2 against the alternative that sigma^2_1 ≠ sigma^2_2, we will perform an F-test. Here are the steps:

1. Calculate the sample variances (s^2) for both sets of density measurements.
2. Find the ratio of the larger sample variance to the smaller sample variance: F = (s^2_1) / (s^2_2), where s^2_1 > s^2_2.
3. Determine the degrees of freedom for both sets of data: df1 = n1 - 1 and df2 = n2 - 1, where n1 and n2 are the sample sizes.
4. Find the critical F values for a two-tailed test at the 0.05 level of significance using the F-distribution table, with df1 and df2 as the row and column indexes.
5. Compare the calculated F value to the critical F values. If the calculated F value is between the lower and upper critical F values, then we fail to reject the null hypothesis (sigma^2_1 = sigma^2_2). If the calculated F value is less than the lower critical F value or greater than the upper critical F value, we reject the null hypothesis and accept the alternative hypothesis (sigma^2_1 ≠ sigma^2_2).
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I don't know if this right but the answer is 26783

Answer:

18 because we will multiply them all together

formula applied was lbh multiplied together. Mark me as the brainliest

Step-by-step explanation:

Answer:

2 meters

Step-by-step explanation:

The formula for finding the volume of a triangular prism is:

V = 1/2ba * h where b = base length, a = height of base and h = height of prism. In this case, we're solving for a. We know that V = 4.5, b = 1.5 and h = 3 so:

4.5 = 1/2 * 1.5 * a * 3

4.5 = 2.25a

a = 2 meters

Answer:

First of all snog can you please say something in comments man you the best mod out there.

1.5 m because that is the height of the tent. It says so as a measurement.

Step-by-step explanation:

Answer: y = \(\frac{5}{3}\)x + 14 \(\frac{5}{3}\)

Step-by-step explanation:

      First, we will transform the given equation into slope-intercept form. To do this, we will isolate the y-variable.

             -5x + 3y = 6

             3y = 5x + 6

             y = \(\frac{5}{3}\)x + 2

      A parallel line will have the same slope as the given line. To solve for the y-intercept, we will input the given coordinate point and solve.

             y = \(\frac{5}{3}\)x + b

             (14) = \(\frac{5}{3}\)(-1) + b

             (14) = -\(\frac{5}{3}\) + b

             14 \(\frac{5}{3}\) = b

             y = \(\frac{5}{3}\)x + 14 \(\frac{5}{3}\)

      We can also graph the two lines and the given coordinate point. You can see the equation we wrote goes through the coordinate point (-1, 14) and is parallel to -5x + 3y = 6.

Answer:

  5x -3y = -47

Step-by-step explanation:

You want the equation of the line through point (-1, 14) that is parallel to -5x +3y = 6.

The equation of a parallel line can be found by leaving the x- and y-coefficients alone, and finding the constant that makes the equation be true at the given point. Substituting the point coordinates for x and y, we have ...

  -5(-1) +3(14) = 5 +42 = 47

Making the constant be 47 will give the desired equation:

  -5x +3y = 47

The equation is written in standard form when the leading coefficient is positive:

  5x -3y = -47 . . . . . . multiply the above equation by -1

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Dave's workout routine follows an arithmetic sequence, where each term in the sequence is the previous term plus 2. The first term in the sequence is 6, and each subsequent term is found by adding 2 to the previous term.

Thus, the sequence of Dave's workout lengths is 6, 8, 10, 12, 14, and so on.

This sequence describes the lengths of Dave's workouts because each term represents the length of his workout on a particular day. The first term, 6, represents the length of his workout on the first day. The second term, 8, represents the length of his workout on the second day, and so on.

It is important to note that this sequence assumes that Dave follows his workout routine every day without fail. If he misses a day or decides to take a break, the sequence would be disrupted and may not continue in the same pattern. However, as long as he sticks to his routine of increasing his workout time by 2 minutes every day, this sequence accurately describes the lengths of his workouts.

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Hello there. To graph this function, the best way is to find two points that are into the line and then pass a line through them.

Since the image of a line is all the real numbers, we can pick any point for x and find y that satisfy it.

Starting with x = 0, we have that f(0) = -3 * 0 + 4 = 4.

So the point (0, 4) is in the line.

Now, making x = 1, we have that f(1) = -3 * 1 + 4 = -3 + 4 = 1

So the point (1, 1) is in the line.

Graphing the function, we have:

This is the graph of this function.

The statement says:

"The number 0.35 belongs to the set of real numbers"

This is true, because 0.35 is a rational number, and all the rational numbers also are real numbers.

Here we have the statement:

0.35 ∈ R

Let's explain what this statement means:

The symbol "∈" means that the thing to the left of the symbol belongs to the set at the right of the symbol

And "R" refers to the set of real numbers, which is the set that conatins all the common numbers. (The set of real numbers is the union of the set of rational numbers and irrational numbers).

Then that statement says:

"The number 0.35 belongs to the set of real numbers"

This is true, because 0.35 is a rational number, and all the rational numbers also are real numbers.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Y - intercept is the value of y - coordinates of the point where the line intersects the y - axis, that is :

Y - intercept = 0

Answer:

Let's find slope first

Take 2points

\(\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\\ \sf\longmapsto m=\dfrac{0+2}{0-1}\)

\(\\ \sf\longmapsto m= \dfrac{2}{-1}\)

\(\\ \sf\longmapsto m=-2\)

Equation of the line

\(\\ \sf\longmapsto y=mx+b\)

Put values

\(\\ \sf\longmapsto -2=-2(1)+b\)

\(\\ \sf\longmapsto b=-2+2\)

\(\\ \sf\longmapsto b=0\)

y-intercept is 0

Answer:

d

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 + 2 = 4

you have two and you add 2

you get 4

Hope this helps!

:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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Answer:

The solutions to the quadratic equations will be:

\(x=\sqrt{57}+6,\:x=-\sqrt{57}+6\)

Step-by-step explanation:

Given the expression

\(x^2-12x\:=\:21\)

Let us solve the equation by completing the square

\(x^2-12x\:=\:21\)

Add (-6)² to both sides

\(x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2\)

simplify

\(x^2-12x+\left(-6\right)^2=57\)

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

\(x^2-12x+\left(-6\right)^2=\left(x-6\right)^2\)

so the expression becomes

\(\left(x-6\right)^2=57\)

\(\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\)

solve

\(x-6=\sqrt{57}\)

add 6 to both sides

\(x-6+6=\sqrt{57}+6\)

Simplify

\(x=\sqrt{57}+6\)

also solving

\(x-6=-\sqrt{57}\)

add 6 to both sides

\(x-6+6=-\sqrt{57}+6\)

Simplify

\(x=-\sqrt{57}+6\)

Therefore, the solutions to the quadratic equation will be:

\(x=\sqrt{57}+6,\:x=-\sqrt{57}+6\)

Answer:

68oz

Step-by-step explanation:

1) 3lbs x 16oz = 48

Now we know 3lbs is 48oz. since one pound is 16 ounces, 3 pounds is 48 ounces.

2) 48 + 20 = 68oz

3) The total weight of both packages is 68 ounces.

Jesus loves ya, have a great day!

---------------------

John 8:12 - When Jesus spoke again to the people, he said, "I am the light of the world. Whoever follows me will never walk in darkness, but will have the light of life."

If all the conditions are met to conduct a hypothesis test, the null and alternative hypotheses are given below:

Option d. H0 : μ= 0 minutes, H1 : μ≠ 0 minutes is the correct answer.

A statistical hypothesis test is a method of making a statistical decision using experimental data. Hypothesis testing is a way to infer about a population using data gathered from a sample. The process involves several steps, including stating the null and alternative hypotheses.

The first step in hypothesis testing is to state the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis represents the assumption that there is no significant difference or effect in the population. It assumes that any observed difference or effect is due to random chance.

In this case, the null hypothesis is stated as H0 : μ = 0 minutes, where μ represents the population mean. This means that the population mean is assumed to be zero minutes.

The alternative hypothesis (H1) is the hypothesis that contradicts the null hypothesis. It represents the possibility of a significant difference or effect in the population. In this case, the alternative hypothesis is stated as H1 : μ ≠ 0 minutes, indicating that the population mean is not equal to zero minutes.

The choice of the alternative hypothesis depends on the research question and the specific hypothesis being tested. It could be a two-tailed test, as indicated by the "≠" symbol in the alternative hypothesis, suggesting that the population mean could be significantly greater than or less than zero minutes.

After stating the null and alternative hypotheses, the significance level (α) is determined, which represents the probability of rejecting the null hypothesis when it is actually true. The significance level helps in making a decision about the null hypothesis based on the calculated test statistic and p-value.

In conclusion, option d. H0 : μ = 0 minutes, H1 : μ ≠ 0 minutes is the correct answer for the null and alternative hypotheses in this context.

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The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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