Pick the word that best describes the definition: a piece or part of a line having two endpoints ray segment line angle

Answer:

\(8\sqrt{5}+3\sqrt{30}\)

Step-by-step explanation:

\(\sqrt{5}(8+3\sqrt{6})\)

\((\sqrt{5})(8)+(\sqrt{5})(3\sqrt{6})\)

\(8\sqrt{5}+3\sqrt{30}\)

Answer:

about 34 hours

Step-by-step explanation:

Answer:

35 hours.

Step-by-step explanation:

To achieve an answer to this question, we'll have to set two expressions equal to each other.

Let's first start by calculating how much Nadia has made in the first two weeks of the month. We can do this by adding the amount of hours she works in the first and second week together:

\(21+17.5\)

\(=38.5\)

Let \(h\) equal hours.

Set up your first expression:

\(5.50h\)

Let's go ahead and substitute 38.5 into the expression to see how much money she will make the first two weeks of the month at a rate of $5.50 an hour:

\(5.50(38.5)\)

\(=211.75\)

We are told that Nadia raises her rate by $0.55, so we'll need to add 0.55 to 5.50 in order to find her increased rate:

\(5.50+0.55\)

\(=6.05\)

Set up your second expression:

\(6.05h\)

Now, set this equal to how much she made the first two weeks at a rate of $5.50 an hour:

\(211.75=6.05h\)

Divide both sides of the equation by the coefficient of \(h\), which is \(6.05\):

\(35=h\)

Therefore, it will take Nadia 35 hours to earn the same amount of money she made in the first two weeks of the month.

_

Check your work by substituting 35 for \(h\) in the equation below:

\(211.75=6.05h\)

\(211.75=6.05(35)\)

\(211.75=211.75\)

Since both sides of the equation are equal to each other, our answer is correct!

There is not sufficient evidence to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.

To determine if there is sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased, we can use a hypothesis test.

Let p be the true proportion of families who eat dinner together seven nights a week. Our null hypothesis is that there has been no decrease in the proportion of families who eat dinner together seven nights a week:

H0: p = 0.32

Our alternative hypothesis is that the proportion has decreased:

Ha: p < 0.32

We will use a one-tailed z-test with an alpha level of 0.01.

First, we need to calculate the sample proportion, P:

P = 325/1089 ≈ 0.298

Next, we can calculate the test statistic, z0:

z0 = (P - p) / sqrt(p(1-p)/n)

where n is the sample size.

z0 = (0.298 - 0.32) / sqrt(0.32(1-0.32)/1089) ≈ -2.32

Finally, we can compare the test statistic to the critical value for a one-tailed z-test at an alpha level of 0.01. The critical value is -2.33. Since -2.32 is greater than -2.33, we fail to reject the null hypothesis.

Therefore, there is not sufficient evidence to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.

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The area of each polygon in this problem is given as follows:

a) 252 square units.

b) 65 square units.

For item a, we have a rectangle of dimensions 12 and 21, hence the area is the multiplication of the dimensions, as follows:

A = 12 x 21 = 252 square units.

For item b, we have a triangle with base 13 and height 10, hence the area is half the multiplication of the base by the height, as follows:

A = 0.5 x 13 x 10 = 65 square units.

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There are 455 different three-student study groups that can be formed from a class of 15.

This situation involves determining the number of different three-student study groups that can be formed from a class of 15.

To determine whether this situation involves a combination or permutation, we need to consider if the order of selection matters or not, and if repetitions are allowed.

In this case, we are only concerned with forming study groups, and the order of selection does not matter. Additionally, it is assumed that each student can only be selected once for a study group.

Therefore, this situation involves a combination, specifically a combination of 15 students taken 3 at a time.

The formula to calculate the number of combinations is given by:

\(C(n, r) = n! / (r! * (n - r)!),\)

where n is the total number of items to choose from (in this case, the number of students in the class), and r is the number of items being chosen (in this case, the number of students in each study group).

Substituting the values into the formula:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = (15 * 14 * 13) / (3 * 2 * 1) = 455.

Therefore, there are 455 different three-student study groups that can be formed from a class of 15.

In summary, this situation involves a combination, and the number of different three-student study groups that can be formed from a class of 15 is 455.

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If the MSbetween (Mean Square Between) is lower than the MSwithin (Mean Square Within), the F value will be less than 1.

The F value is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). It is used in analysis of variance (ANOVA) to test for significant differences among group means. The F value follows an F-distribution, and its magnitude determines the statistical significance of the differences between groups.

When the MSbetween is lower than the MSwithin, it indicates that the variability between groups is smaller compared to the variability within groups. This suggests that the differences observed among the group means are not substantial or meaningful. In other words, there is more similarity within the groups than between them.

Since the F value is calculated as the ratio of MSbetween to MSwithin, if the numerator (MSbetween) is smaller than the denominator (MSwithin), the F value will be less than 1.

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Answer:

Step-by-step explanation:

9x9x9=729ft cubed

hope this helps

Answer:

On the Y axis

Step-by-step explanation:

Answer:

(0, 7)

Step-by-step explanation:

aight so its set up as (x,y). X on the graph is left and right while y is up and down. "8" means that the X is positive or to the right of the origin. If you go left, essentially you are subtracting. So 8-8=0. Same kind of idea for the Y axis. Up is positive, down is negative. If you're going down 6 from 13 (13-6) then you are at 7. (0,7)

Lines 'a' and 'c' are parallel lines.

We have to given that,

There are three lines are shown in image.

We know that,

In a parallel line,

If two angles are alternate angles then both are equal to each other.

And, If two angles are corresponding angles then both are equal to each other.

Now, From the given figure,

In lines a and c,

Corresponding angles are 65 degree.

Hence, We can say that,

Lines a and c are parallel lines.

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Step-by-step explanation:

15y-14y=1y

14 years is stracted from 15 years

Answer:

3.5

Explanation:

Take any two points of the line and simply use the formula slop = y2-y1/x2-x1

Two points that I consider

(x1, y1) = (5,0)

(x2,y2) = (7,7)

Now using the above mentioned formula,

y2-y1/x2-x1 = 7-0/7-5 = 7/2= 3.5

Hence slop of line is 3.5

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The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

The value of the vehicle would be $7,242

Step-by-step explanation:

Given,

The original value of the vehicle, P = $29,800,

Rate of depreciation, r = 9% = 0.09

Time, t = 15 years,

Thus, the value of the car after 15 years,

\(A=P(1-r)^t\)

\(=29800(1-0.09)^{15}\)

\(=29800(0.91)^{15}\)

\(=7241.64363066\)

\(\thickapprox \bold{\$ 7,242}\)

If your bottom time is 25 minutes, general rules recommend that you ascend immediately to 15 feet then remain there for 8 minutes. You should then go to the surface and not dive for 6 hours.

The recommended bottom time is 24 minutes which means that staying there for 25 minutes will have exceeded this recommendation.

You should immediately ascend to 15 feet or 5 meters, and then wait there for 8 minutes. Then return to the surface and avoid diving for the next 6 hours.

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u = [2, -2]. The orthogonal complement W⊥ of W is the set of all vectors orthogonal to W. In this case, a basis for W⊥ is {[2, -2]}.

Rewrite the equation in standard form for vectors

The given equation is 2x - y = 0. We can rewrite it as y = 2x

Find a vector in W
We can choose any value of x and compute the corresponding y value to find a vector in W. Let x = 1, then y = 2(1) = 2.

So, one such vector in W is v = [1, 2].

Find a vector orthogonal to v

To find a vector orthogonal to v, we need to find a vector u = [a, b] such that the dot product of v and u is zero (v • u =

0). So, [1, 2] • [a, b] = 0. This translates to 1a + 2b = 0.

Find a basis for W⊥

Solve the equation 1a + 2b = 0 for a and b. We can set a = 2 and solve for b: 2(2) + 2b = 0, which gives b = -2.

Therefore, u = [2, -2].
The orthogonal complement W⊥ of W is the set of all vectors orthogonal to W. In this case, a basis for W⊥ is {[2, -2]}.

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The area of the circle is 95.03.

The velocities at both sections of a gradually transitioning rectangular channel are zero, indicating stagnant or very slow flow, and the longitudinal force acting on the channel boundary cannot be determined without the density of the fluid.

To determine the velocities at Section 1 and Section 2, we can use the specific energy equation for open channel flow. The specific energy equation relates the flow depth, velocity, and energy head of the flow.

Velocity at Section 1:

Using the specific energy equation:

E1 = y1 + (V1^2) / (2g)

Where:

E1 = specific energy at Section 1

y1 = flow depth at Section 1

V1 = velocity at Section 1

g = acceleration due to gravity

Given:

y1 = 7 ft

E1 = y1 + (V1^2) / (2g) (since α1 = 1, energy coefficient = 1)

Substituting the known values:

7 = 7 + (V1^2) / (2g)

Simplifying the equation, we find:

V1 = 0 ft/s

Therefore, the velocity at Section 1 is 0 ft/s.

Velocity at Section 2:

Using the specific energy equation:

E2 = y2 + (V2^2) / (2g)

Where:

E2 = specific energy at Section 2

y2 = flow depth at Section 2

V2 = velocity at Section 2

Given:

y2 = 8 ft

E2 = y2 + (V2^2) / (2g) (since α2 = 1, energy coefficient = 1)

Substituting the known values:

8 = 8 + (V2^2) / (2g)

Simplifying the equation, we find:

V2 = 0 ft/s

Therefore, the velocity at Section 2 is 0 ft/s.

Both velocities at Section 1 and Section 2 are 0 ft/s, indicating that the flow is stagnant or very slow in the channel.

To determine the longitudinal force acting on the channel boundary through the transition, we can use the momentum equation for open channel flow:

F = ρQV2

Where:

F = longitudinal force

ρ = density of the fluid (assumed constant)

Q = flow rate

V2 = velocity at Section 2

Given:

ρ = constant

Q = A2V2 (since the flow is subcritical, the flow rate is Q = A2V2, where A2 is the cross-sectional area at Section 2)

The cross-sectional area A2 can be calculated using the flow depths and channel widths at Section 2:

A2 = y2 * B2

Given:

y2 = 8 ft

B2 = 15 ft

Substituting the known values:

A2 = 8 ft * 15 ft

A2 = 120 ft^2

Substituting the calculated values into the momentum equation:

F = ρ * (y2 * B2 * V2) * V2

Since the density ρ is not given, we cannot calculate the exact value of the longitudinal force without knowing the density.

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Answer:

0.00110192837

Step-by-step explanation:

Answer:

a. y = -3/4x + 4

Step-by-step explanation:

to figure this out, you have to start with process of elimination.

you can start with the y-intercept, with us the point of the equation that falls on the y-axis. since the y-intercept is on +4, you can eliminate b and c

now, we need to find the slope. since the slope is on a downwards tilt, it has to be a negative number. this leaves you with a being the correct answer

Answer:

3.68 cm ^2

Step-by-step explanation:

A= b x h

A= 1.6 cm x 2.3 cm

A= 3.68 cm ^2

Answer:no

Step-by-step explanation:

Answer: No

Step-by-step explanation: On of the exponents is three

Answer:

Should be around 3.60555

Step-by-step explanation:

Round it to whichever place it needs to be rounded

The graph will cross the x-axis if the multiplicity of the real root is odd.

What is polynomial?

In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Main body:

For polynomials, the graph will cross the x-axis if the multiplicity of the real root is odd, and just touch the x-axis if the multiplicity of the real root is even. (The multiplicity of the root is the number of times it occurs as a root)

(a) y=(x+1)^2(x-2) The graph crosses at x=2 (multiplicity 1) but touches at x=-1 (mulitplicity 2)

(b) y=(x-4)^3(x-1)^2 The graph crosses at x=4 (multiplicity 3) but touches at x=1 (m=2)

(c) y=(x-3)^2(x+4)^4 The graph touches at x=3 and x=-4 as the multiplicities are both even.

The graphs: (a) black, (b) red, (c) green

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The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

When the two sides and an angle of a  triangle is known, then the area of the triangle can be found out with the following formula.

\(A=ab\sin\left(\dfrac{C}{2}\right)\)

Here, a,b are the adjacent sides and C is the angle made between them.

The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.

The angle made between them has the measure of 31 degrees. Put the values in the above formula as,

\(A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2\)

Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

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Answer: A, 10.3

Step-by-step explanation: edge 2022

39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A

Answer:

Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA  2nd answer.

Step-by-step explanation:

Answer:

162 miles

Step-by-step explanation:

54(3) = 162

Answer:

162 miles?

Step-by-step explanation:

Answer:

\(Perimeter = 4x+16\)

Step-by-step explanation:

Given

\(Rug=x\)

Required

Determine the perimeter of the room

The room is 3ft wider.

So:

\(Width = Rug + 3\)

\(Width = x + 3\)

The room is 5ft longer,

So:

\(Length = Rug + 5\)

\(Length = x + 5\)

The perimeter is:

\(Perimeter = 2 * (Length + Width)\)

\(Perimeter = 2 * (x+5+x+3)\)

Collect Like Terms

\(Perimeter = 2 * (x+x+5+3)\)

\(Perimeter = 2 * (2x+8)\)

\(Perimeter = 4x+16\)