a) x² when x = 6
b) y² when y= -9
c) z² when z = 0.7

​

The amount of material needed = the surface area of the cylindrical can which is approximately calculated as: 332 square centimeters.

The material used = surface area of cylindrical can = 2πr(h + r).

Given the dimensions of the cylindrical can, we have:

radius (r) = 7/2 = 3.5 cm

height of cylindrical can (h) = 11.6 cm

π = 3.14

Amount of tin used = surface area = 2 * 3.14 * 3.5 * (11.6 + 3.5)

≈ 332 square centimeters

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The fraction of Cos L is 23/25

First, let's understand what a fraction is. A fraction represents a part of a whole. It has two parts: the numerator and the denominator. The numerator represents the part we are interested in, and the denominator represents the whole.

Now, let's look at our problem. We have a right triangle with sides KL and JL, and we need to find cos L. Cosine is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. So, to find cos L, we need to identify the adjacent and hypotenuse sides.

From the given information, we know that KL is adjacent to angle L, and JL is the hypotenuse. So, we can write:

cos L = KL/JL

Now, we need to simplify this fraction. To simplify a fraction, we need to divide both the numerator and the denominator by their greatest common factor (GCF). The GCF of 23 and 25 is 1, so we cannot simplify the fraction any further.

Therefore, the final answer is:

cos L = KL/JL = 23/25

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \:3(3x + 5)\)

now plug in the value of x as 5

\(\qquad \sf  \dashrightarrow \:3(3(5) + 5)\)

\(\qquad \sf  \dashrightarrow \:3(15 + 5)\)

\(\qquad \sf  \dashrightarrow \:3(20)\)

\(\qquad \sf  \dashrightarrow \:60 \: \)

So, the equivalent value is 60

Answer:

C or A

Step-by-step explanation:

Answer:

I would go with A

Step-by-step explanation:

Answer:

the 11th term is 0.0000488 or 4.88*10^-5.

Step-by-step explanation:

a3 = 20, a7 = 1.25

a7 = a3r^7-3

1.25 = 20r^4

r^4 = 0.0625

r = 4th root of 0.0625

r = 0.5

a3 = a1r^3-1

20 = a1(20)^2

400a1 = 20

a1 = 0.05

a11 = 0.05(0.5)^11-1 = 0.0000488 or 4.88*10^-5

Main Answer:The correct answer is "equality of three or more population means."

Supporting Question and Answer:

What is the purpose of the one-way analysis of variance (ANOVA) test?

ANOVA helps to assess whether these differences are statistically significant by comparing the variation between the groups to the variation within the groups.

Body of the Solution:The one-way analysis of variance (ANOVA) is used to test for" the equality of three or more population means". ANOVA compares the variation between the groups (due to differences in means) to the variation within the groups (due to individual differences within each group) to assess whether the observed differences in means are statistically significant. Therefore, the correct answer is:

"equality of three or more population means."

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Answer:

Step-by-step explanation:

The centroid of a triangle is the point where the three medians coincide.

Here,

The three medians coincide at point Z so it's the centroid

The energy balance equation can be simplified as:Ein = Eout + Wm * h1 = m * h2 + m * (h1 - h2)Thus, the final energy balance equation can be given as:W = (h1 - h2) * m150 words.

In order to determine the energy balance for a turbine using a closed volume of fluid as the system while the fluid flows through the turbine, several assumptions need to be made. The assumptions are as follows: There is no heat transfer, the kinetic energy at the inlet is negligible, and the potential energy changes are also negligible. Given these assumptions, the energy balance equation can be derived as follows:

Energy into the system = Energy out of the system

The energy into the system can be given as: Ein = m * h1, where m is the mass flow rate and h1 is the enthalpy at the inlet. The energy out of the system can be given as: Eout = m * h2 + W, where h2 is the enthalpy at the exit and W is the work done by the turbine.

Substituting the values, the energy balance equation can be written as:m * h1 = m * h2 + WThe work done by the turbine can be calculated as: W = m * (h1 - h2)

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a) The test statistic is t = -2.46, with 23 degrees of freedom, and a p-value of .021. Since the p-value is less than .05, we reject the null hypothesis and conclude that there is a significant difference in aggression between the two groups.

b) The negative sign indicates that the drug that lowers brain levels of serotonin has a negative effect on aggression. Cohen's d of -1.42 indicates a large effect size, which means that the difference in means between the two groups is significant.

a) Test for a significant difference in aggression between the two groups using the independent samples t-test: A t-test is used to determine whether the means of two groups are significantly different from each other. To conduct an independent samples t-test, the following conditions must be met:

The two groups are independent of one another.
The data are normally distributed (or close to it).
The variances of the two groups are approximately equal.

The first condition is met since the two groups of rats are independent samples. The second condition cannot be assessed without more information, so we will assume it is met. The third condition can be tested using the Levene's test for equality of variances.

The null hypothesis for the Levene's test is that the variances of the two groups are equal. We will use an alpha level of .05.

The test statistic is F = 3.406, with 1 and 23 degrees of freedom, and a p-value of .079. Since the p-value is greater than .05, we fail to reject the null hypothesis and conclude that the variances of the two groups are approximately equal.

Now we can conduct the independent samples t-test. The null hypothesis is that there is no significant difference in aggression between the two groups. The alternative hypothesis is that there is a significant difference in aggression between the two groups.

The test statistic is t = -2.46, with 23 degrees of freedom, and a p-value of .021. Since the p-value is less than .05, we reject the null hypothesis and conclude that there is a significant difference in aggression between the two groups.

b) Compute Cohen's d: Cohen's d is a measure of effect size that describes the standardized difference between two means. It is calculated by subtracting the mean of one group from the mean of the other group, and then dividing by the pooled standard deviation. The formula for Cohen's d is:

d = (M1 - M2) / Spooled

where M1 is the mean of group 1, M2 is the mean of group 2, and Spooled is the pooled standard deviation. The pooled standard deviation is calculated using the following formula:

Spooled = √(((n1 - 1) * S1^2 + (n2 - 1) * S2^2) / (n1 + n2 - 2))

where n1 and n2 are the sample sizes of group 1 and group 2, and S1 and S2 are the standard deviations of group 1 and group 2.

Using the values from the study:

M1 = 14
M2 = 19
S1 = √(180.5 / 9) = 4.26
S2 = √(130 / 14) = 2.93
n1 = 10
n2 = 15

Spooled = √(((10 - 1) * 4.26^2 + (15 - 1) * 2.93^2) / (10 + 15 - 2)) = 3.53

d = (14 - 19) / 3.53 = -1.42

The negative sign indicates that the drug that lowers brain levels of serotonin has a negative effect on aggression. Cohen's d of -1.42 indicates a large effect size, which means that the difference in means between the two groups is significant.

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Answer:

not a function because -3 maps to two different values 5 and 6

Step-by-step explanation:

Answer:

\((-3,-12)\)

\(x=-3, y=-12\)

Step-by-step explanation:

So we have the system:

\(3x+y=-21\\y=4x\)

To solve this, we can do some substitution. Substitute the y in the first equation for the 4x in the second:

\(3x+y=-21\\3x+(4x)=-21\)

Combine like terms:

\(7x=-21\)

Divide both sides by 7. The left side cancels:

\((7x)/7=(-21)/7\\x=-3\)

So we determined that x is -3. Now, plug this number back into the second equation:

\(y=4x\\y=4(-3)=-12\)

So the solution is:

\((-3,-12)\)

Answer:

\(\Large \boxed{x=-3 \ } \\ \\ \Large \boxed{y=-12}\)

Step-by-step explanation:

3x + y = -21

y = 4x

Substitue y = 4x in the first equation.

3x + 4x = -21

Combine like terms.

7x = -21

Divide both sides by 7.

x = -3

Let x = -3 for the second equation.

y = 4(-3)

Multiply.

y = -12

The solution for the system of equations is x = -3 and y = -12.

Answer:

6,812.26

Step-by-step explanation:

I found the answer key

Answer:

Number 1: -8.7. Number 2: -2

Step-by-step explanation:

To find the first one, subtract 11 from 2.3.

2.3-11= -8.7 , so that's the answer for the first one.

To find the answer to the second one, just do -4+-2=-2, so that's the answer for the second one.

The expression 60⋅1.2^t models the number of nano-related patents granted in the US as a function of years since 1991.


Start with the number 60.

This represents the initial number of nano-related patents granted in the US in the year 1991.

Multiply 60 by 1.2.

This accounts for a growth factor of 1.2, indicating that the number of patents granted is increasing by 20% each year.

Raise 1.2 to the power of t. The variable t represents the number of years since 1991. This allows the expression to model the increase in patents over time.

The resulting expression, 60⋅1.2^t, gives an estimate of the number of nano-related patents granted in the US for any given year since 1991.

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Answer:

810!

Hope this helped! Have a nice day!!

Answer:

30% of 2,700 is 810

Step-by-step explanation:

proportions

0.30×2,700

810

Answer:

36 km

Step-by-step explanation:

60% of 60km

60/100

.6*60=36

36 km

Answer:

The answer is 36km im taking that tes right now

Step-by-step explanation:

Answer:

6.25x+4.50x=550

6.25x+4.50(45)=550

6.25x+202.50=550

6.25x+202.50-202.50=550-202.50

6.25x=347.50

6.25x÷6.25=347.50÷6.25

x=55.6

she could get 55 adult size T-shirts

I hope this is good enough:

Answer: x=9

Step-by-step explanation:

To determine the x-values at which f is not continuous, we need to identify any points where there are discontinuities in the function. There are three types of discontinuities: removable, jump, and infinite.

1. Removable discontinuity: A removable discontinuity occurs when there is a hole in the graph of the function. It means that the function is not defined at a particular point, but it can be made continuous by assigning a value to that point. To find removable discontinuities, we look for points where the numerator and denominator of a fraction are both zero, but the function can be simplified. For example, if we have f(x) = (x^2 - 4)/(x - 2), there is a removable discontinuity at x = 2 because both the numerator and denominator become zero. However, canceling out the common factor of (x - 2) gives f(x) = x + 2, which is a continuous function.

2. Jump discontinuity: A jump discontinuity occurs when the left and right limits of a function at a particular point exist, but they are not equal. In other words, the function "jumps" from one value to another at that point. For example, f(x) = |x| has a jump discontinuity at x = 0 because the left limit is -1 and the right limit is 1, which are not equal.

3. Infinite discontinuity: An infinite discontinuity occurs when the function approaches positive or negative infinity at a particular point. For example, f(x) = 1/x has an infinite discontinuity at x = 0 because as x approaches 0 from the left, the function approaches negative infinity, and as x approaches 0 from the right, the function approaches positive infinity.

In conclusion, to determine the x-values at which f is not continuous, we need to analyze the function for removable, jump, and infinite discontinuities.

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No. A triangle cannot be formed with side lengths of 2, 4, and 5. option (d)

The sum of the lengths of the two shorter sides (2 + 4 = 6) must be greater than the length of the longest side (5). This is known as the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, to form a triangle, the sum of the lengths of the two shorter sides must be greater than the length of the longest side. In this case, the two shorter sides do not meet this requirement, so it is not possible to form a triangle with these side lengths.

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Complete Question:

Is it possible to form a triangle with side lengths 2, 4, and 5? If so, will it be scalene, isosceles, or equilateral?

A.Yes; scalene

B. Yes; isosceles

C. Yes; equilateral

d. no

The length and width of the rectangular pen that optimizes the area are 400 feet and 200 feet, respectively, according to the perimeter of a rectangle.

The perimeter of a shape is the sum of the lengths of all its edges. For example, a triangle has three edges, hence its perimeter is equal to the sum of those three lengths.The perimeter of a form can be calculated by adding the lengths of all its sides. A perimeter example is what? A field with a length of 24 yards and a width of 15 yards, for instance, will have a perimeter of 78 yards.

calculation

In order to construct a hog pen, I have 800 feet of fencing.

Assume that "l" represents the rectangle's length and "w" its width.

One of your properties borders a river that I own.

I can secure my property with fencing on its three sides.

because of this, the fencing's necessary perimeter p = l + 2w

The fencing's perimeter is now equal to

⇒ l + 2w = 800

= l = 800 - 2w

now the  rectangle's area  = A = lw

Therefore,  A = l * w = w ( 800 - 2w ) = 800w - \(2w^{2}\)

By diffusing the area equation, we can figure out the rectangle's greatest area.

Therefore, A' = 800 - 4w

Again, A" = -4

The rectangle has the largest area since the second order differentiation is constant negative.

Put simply, we obtain: A' = 0 , A' = 800- 4w

⇒800- 4w = 0

⇒ 4 w = 800

⇒ w = 200

So the rectangle has a 200-foot width.

The rectangle's length is currently:

l = 800 - 2w = 800 - 2 ( 200 ) = l = 400 feet

The length and width of the rectangular pen that optimizes the area are 400 feet and 200 feet, respectively, according to the perimeter of a rectangle.

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The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

y=-3x-13

Step-by-step explanation:

Plug in the -2 and -4 for the y and x. The slope is the same

1) -4 = -3 (-3)+b

2) -4=9+b

3) -4-9=b

4) -13=b

The equation is y=-3x-13

Answer:

3/7

Step-by-step explanation:

The annual return on assets for The Krogen Grocer was 3.87%.

To calculate Krogen Grocer's return on assets for the year, we need to use the formula:
Return on Assets = Net Income / Average Total Assets
By Plugging in the given values,
Return on Assets = $1,680 million / $43,350 million
Return on Assets = 0.0387 or 3.

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The solution of the system of equations is (2, 1).

Here we have the system of equations:

y = 2x - 3

y = -x + 3

To solve the system of equations graphically, we need to graph both of these lines in the same coordinate axis and then find the point where the lines intersect.

That point will be the solution of the system.

On the image at the end you can see the graph of the system of equations, there we can see that the solution is (2, 1).

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Answer:

Length = 12 miles

Width = 6 miles

Step-by-step explanation:

Set up our two equations:

L * W = 72

W = L - 6

So, let's plug W in to find our values:

(Remember: W = L - 6)

L * (L - 6) = 72

Simplify:

L^2 - 6L = 72

L^2 - 6L - 72 = 0

Let's use the quadratic formula (a = 1, b = -6, c = -72)

Quadratic formula:

x = -b ± \(\sqrt{b^2-4ac}\)

______________

           2a

Plug in our values:

\(\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \left(-72\right)}}{2\cdot \:1}\)

Solve for the square root value:

\(\sqrt{(-6)^2-4*1*(-72)} = 18\)

Set up the equation with simplified values:

L, W = \(\frac{-\left(-6\right)\pm \:18}{2\cdot \:1}\)

\(L_1=\frac{-\left(-6\right)+18}{2\cdot \:1},\:L_2=\frac{-\left(-6\right)-18}{2\cdot \:1}\)

Solve for L1: \(\frac{-\left(-6\right)+18}{2\cdot \:1}\) = 12

Solve for L2: \(\frac{-\left(-6\right)-18}{2\cdot \:1}\) = 6

Since the width is 6 miles less than the length, the width is 6 miles, and the length is 12 miles.

Plug this in to make sure: Does 6 * 12 = 72? Yes. Is 12 6 more than 6? Yes. We have our answers

Length = 12 miles

Width = 6 miles