Chelsea went ice-skating. The ice, her skates, the Zamboni, and the rink building itself were all examples of solids she encountered. She developed a model of the particles in the ice. Which of these statements about the particles present in her model of a solid are true? Choose the three statements that apply.
A.They vibrate in place
B.They slide past each other.
C.They are packed very closely together.
D.They cause the solid to have definite volume and shape.

Answer:

yes that is right

Step-by-step explanation:

yes

Answer:

When a pair of parallel lines is cut with another line, known as an intersecting transversal, it creates pairs of angles with special properties.

Step-by-step explanation:

CORRESPONDING ANGLES are equal

<1 and <5 <2 and <6 <4 and <8 <3 and <7

ALTERNATE INTERIOR ANGLES are equal

<3 and <5 <2 and <8

ALTERNATE EXTERIOR ANGLES are equal

<1 and <7 <4 and <6

VERTICALLY OPPOSITE ANGLES are equal

<5 and <7 <6 and <8 <1 and <3 <2 and <4

COINTERIOR ANGLES are supplementary, meaning adding their measurements together will give you 180°

<2 and <5 <3 and <8

Here is the complete question.

\(Consider \ circle \ Y \ with \ radius \ 3 m \ and \ central \ angle \ XYZ \ measuring \ 70°. \\ \\ What \ is \ the \ approximate \ length \ of \ minor \ arc \ XZ?\\ \\ Round \ to \ the \ nearest \ tenth \ of \ a \ meter. \\ 1.8 meters \\ 3.7 \ meters \\ 15.2\ meters \\ 18.8 \ meters\)

Answer:

3.7 meters

Step-by-step explanation:

From the given information:

The radius is 3m

The central angle XYZ = 70°

To calculate the circumference of the circle:

C = 2 π r

C = 2 × 3.142 × 3

C = 18.852 m

Let's recall that:

The circumference length define a central angle of 360°

The approximate length of minor arc XZ can be determined as follow:

Suppose the ≅ length of minor arc XZ = Y

By applying proportion;

\(\dfrac{18.852}{360} = \dfrac{Y}{70}\)

Y(360) = 18.852 × 70

Y = 1319.64/360

Y = 3.66

Y ≅ 3.7 m

Answer:

B!!! 3.7

Step-by-step explanation:

ON EDG2020

Step-by-step explanation:

8y-9=14

bring the 9 to the other side because of which the operator has to change to a plus sign.

8y=14+9=23

23÷8=

\( \frac{23}{8} \)

or

\(2.875\)

A set of ordered pairs (x,y) that represent a linear function are B= {(−1,−6), (2,−3), (5,−1), (8,2)} and C= {(−2,3), (−1,5), (0,7), (1,9)}.

What is a linear function?

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Here, we have

Given: A= {(−4,8), (−2,6), (1,0), (3,−4)}

B= {(−1,−6), (2,−3), (5,−1), (8,2)}

C= {(−2,3), (−1,5), (0,7), (1,9)}

D= {(−4,5), (−3,2), (−1,−1), (1,−4)}

We have to find the set of ordered pairs (x,y) that represent a linear function.

To do this, we calculate each ordered pair's slope (m).

m = (y₂ - y₁)/(x₂ - x₁)

Considering A:

A = {(−4,8), (−2,6), (1,0), (3,−4)}

Consider the following pairs

(x₁,y₁) = (−4,8), (x₂,y₂) = (−2,6)

m = (6 - 8)/((-2) + 4) = -2/2 = -1

Consider the other pair

(x₁,y₁) = (1,0) , (x₂,y₂) =  (3,−4)

m = ((-4) - 0)/(3 - 1)  = -4/2 = -2

The calculated slopes are not equal.

Hence, this can't be a linear function

Considering B:

B= {(−1,−6), (2,−3), (5,−1), (8,2)}

Consider the following pairs

(x₁,y₁) = (−1,−6) , (x₂,y₂) = (2,−3)

m = ((-3) + 6)/(2 + 1) = 3/3 = 1

Consider the other pair

(x₁,y₁) = (5,−1), (x₂,y₂) = (8,2)

m = (2 + 1)/(8 - 5) = 3/3 = 1

The slope is uniform all through.

Hence, this can be a linear function.

Considering C:

C= {(−2,3), (−1,5), (0,7), (1,9)}

Consider the following pairs

(x₁,y₁) =(−2,3), (x₂,y₂) = (−1,5)

m = (5 - 3)/((-1) + 2) = 2/1 = 2

Consider the other pair

(x₁,y₁) = (0,7), (x₂,y₂) =  (1,9)

m = (9 - 7)/(1 - 0) = 2/1 = 2

The slope is uniform all through.

Hence, this can be a linear function.

Considering D:

D= {(−4,5), (−3,2), (−1,−1), (1,−4)}

Consider the following pairs

(x₁,y₁) = (−4,5), (x₂,y₂) = (−3,2)

m = (2 - 5)/((-3) + 4) = -3

Consider the other pair

(x₁,y₁) = (−1,−1) , (x₂,y₂) = (1,−4)

m = ((-4) + 1)/(1 + 1)  = -3/2

The calculated slopes are not equal.

Hence, this can't be a linear function.

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a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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Step-by-step explanation:

jack has error in 0 and -5x

The equation that relates the y-displacement to the acceleration in the y-direction, the initial velocity in the y-direction, and the time is:\(y = (1/2)at^2 + v_{i}t\)

where y is the vertical displacement, a is the acceleration in the y-direction, t is time, and \(v_{i}\) is the initial velocity in the y-direction.

This equation is derived from the kinematic equations of motion, specifically the one that relates the displacement, velocity, acceleration, and time for motion in one dimension. The first term of the equation represents the displacement due to the acceleration, while the second term represents the displacement due to the initial velocity. The equation can be used to calculate the vertical displacement of an object with a known initial velocity and acceleration in the y-direction after a certain amount of time has passed.

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Answer:

-6ca-4

Step-by-step explanation:

Answer:

9c2/a4

Step-by-step explanation:

The hiker plans a trip in two sections, with her destination being 18 km away on a bearing of N63'E from her starting position. The first leg of the trip is on a bearing of N13E. We need to find the length of the first leg.

To find the length of the first leg, we can use trigonometry. Since the bearing is given as an angle relative to the North direction, we can break it down into its components using the right-angled triangle formed by the bearing and the North direction.
In this case, the bearing of N13E can be broken down into a North component (opposite to the angle) and an East component (adjacent to the angle). The North component can be found using the formula: North component = length of leg * sin(bearing angle). The East component can be found using the formula: East component = length of leg * cos(bearing angle).
Once we have the North and East components, we can use them to find the length of the first leg using the Pythagorean theorem: Length of first leg = sqrt((North component)^2 + (East component)^2).
Therefore, to find the length of the first leg, we can follow these steps:
1. Calculate the North component: North component = length of leg * sin(bearing angle).
2. Calculate the East component: East component = length of leg * cos(bearing angle).
3. Calculate the length of the first leg using the Pythagorean theorem: Length of first leg = sqrt((North component)^2 + (East component)^2).
By substituting the given values, we can find the length of the first leg.

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

The number you are is 2.

Let's break down the information provided:

You are a factor of 40 when paired with 15.

Your least common multiple (LCM) with 15 is not equal to 1.

To find the number that satisfies these conditions, let's examine the factors of 40. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. Now, we need to find a number from this list that is a factor of 40 when paired with 15.

To find the LCM of 15 and each factor of 40, we can compare their multiples:

For 15 and 1: LCM = 15

For 15 and 2: LCM = 30

For 15 and 4: LCM = 60

For 15 and 5: LCM = 15 (already the smaller number)

For 15 and 8: LCM = 120

For 15 and 10: LCM = 30 (already the smaller number)

For 15 and 20: LCM = 60 (already the smaller number)

For 15 and 40: LCM = 120 (already the smaller number)

From the list, we can see that the LCM of 15 with 5, 10, 20, and 40 is equal to 15. However, the problem states that the LCM of 15 with the number is not equal to 1. Thus, the number that satisfies both conditions is 2, as the LCM of 15 and 2 is 30, and it is not equal to 1. Therefore, the number you are is 2.

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The means of a stock that has a beta measure of 2.5 is 2.5%.

A beta measure of 2.5 indicates that the stock is 2.5 times as volatile as the market.

This means that if the market goes up by 1%, the stock is expected to go up by 2.5%.

The beta measure is a measure of the volatility of a stock relative to the market.

If the market goes down by 1%, the stock is expected to go down by 2.5%.

Therefore,

The stock is considered to be more risky than the average stock in the market.

A beta measure of 2.5 indicates that the stock is 2.5 times as volatile as the market.

This means that if the market goes up by 1%, the stock is expected to go up by 2.5%.

Conversely, if the market goes down by 1%, the stock is expected to go down by 2.5%.

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The total number of boys enrolled in the course is 170.

Here are 374 children, are there are 5 boys to every 6 girls.

If the ratio of boys to girls is 5 to 6, then 5 out of every 11 students are boys and 6 out of every 11 students are girls.

Set up a proportion for the boys, where b = the total number of boys.

5/11 = b/374

11b = 1870

b = 1870/11

b = 170

There are 170 boys.

The total number of student is 374, so the number of girls, is 374 -b.

There are 374-170= 204 girls.

Finding a proportionality constant would be another algebraic solution to this issue. The total number indicated by the ratio is 5 + 6 or 11, which is equal to the total number of children when multiplied by the proportionality constant.

Let x = the proportionality constant

11x=374

x=34

The number of boys is 5x and the number of girls is 6x.

5x=5×34 =170 boys

6x=6×34 =204 girls.

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Answer:

Point-slope form: y - 6 = -1/3(x + 6)

Slope-intercept form: y = -1/3x + 4

Answer: 60

Step-by-step explanation: -4x-15=60

Answer:

60

Step-by-step explanation:

negative times negative is equals to positive

There were 14 participants in each condition in the study, with a total sample size of 28. To determine the number of participants in each condition, we need to look at the degrees of freedom in the one-way ANOVA output.

In this case, the degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 26. Since the ANOVA assumes equal sample sizes across conditions, we can calculate the total number of participants by multiplying the sample size by the number of conditions. Using the formula for degrees of freedom, we can calculate the sample size for each condition as follows:
df_between = k - 1
df_within = N - k
Where k is the number of conditions and N is the total number of participants.
In this case, df_between = 1 and df_within = 26. Thus,
1 = k - 1
k = 2
Substituting k = 2 into the df_within equation, we get:
26 = N - 2
N = 28
So, the total number of participants across both conditions is 28. Since we assume equal sample sizes, each condition has 14 participants. Therefore, the number of participants in each condition is 28 / 2 = 14.Therefore, we can conclude that there were 14 participants in each condition in the study, with a total sample size of 28. In summary, given the one-way ANOVA output and assuming equal sample sizes across conditions, we can use the formula for degrees of freedom to calculate the sample size for each condition and determine that there were 14 participants in each condition in the study.

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The second solution is: y2(x) = -1 / x¹⁸ + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx) where C is a constant of integration.

To find a second solution y2(x) for the given differential equation x²y'' - xy' + 26y = 0 with the function y1(x) = x sin(5 ln x), we'll use the reduction of order formula:y2(x) = y1(x) * e^(-∫P(x)dx) * ∫(e^(∫P(x)dx) / y1(x)^2 dx)
First, rewrite the given differential equation in the standard form:
y'' - (1/x)y' + (26/x²)y = 0
From this, we can identify P(x) = -1/x.
Now, calculate the integral of P(x):
∫(-1/x) dx = - ln|x|
Now, apply the reduction of order formula:
y2(x) = x sin(5 ln x) * e^(ln|x|) * ∫(e^(-ln|x|) / (x sin(5 ln x))² dx)
Simplify the equation:
y2(x) = x sin(5 ln x) * x * ∫(1 / x² (x sin(5 ln x))² dx)
y2(x) = x² sin(5 ln x) * ∫(1 / (x² sin²(5 ln x)) dx)
Now, you can solve the remaining integral to find the second solution y2(x) for the given differential equation.

To find the second solution y2(x), we will use the reduction of order method. Let's assume that y2(x) = v(x) y1(x), where v(x) is an unknown function. Then, we can find y2'(x) and y2''(x) as follows:
y2'(x) = v(x) y1'(x) + v'(x) y1(x)
y2''(x) = v(x) y1''(x) + 2v'(x) y1'(x) + v''(x) y1(x)
Substituting y1(x) and its derivatives into the differential equation and using the above expressions for y2(x) and its derivatives, we get:
x^2 (v(x) y1''(x) + 2v'(x) y1'(x) + v''(x) y1(x)) - x(v(x) y1'(x) + v'(x) y1(x)) + 26v(x) y1(x) = 0
Dividing both sides by x^2 y1(x), we obtain:
v(x) y1''(x) + 2v'(x) y1'(x) + (v''(x) + (26/x^2) v(x)) y1(x) - (1/x) v'(x) y1(x) = 0
Since y1(x) is a solution of the differential equation, we have:
x^2 y1''(x) - x y1'(x) + 26y1(x) = 0
Substituting y1(x) and its derivatives into the above equation, we get:
x^2 (5v'(x) cos(5lnx) + (25/x) v(x) sin(5lnx)) - x(v(x) cos(5lnx) + v'(x) x sin(5lnx)) + 26v(x) x sin(5lnx) = 0
Dividing both sides by x sin(5lnx), we obtain:
5x v'(x) + (25/x) v(x) - v'(x) - 5v(x)/x + v'(x) + 26v(x)/x = 0
Simplifying the above expression, we get:
v''(x) + (1/x) v'(x) + (1/x² - 31/x) v(x) = 0

This is a second-order linear homogeneous differential equation with variable coefficients. We can use formula (5) in Section 4.2 to find the second linearly independent solution:
y2(x) = y1(x) ∫ e^(-∫P(x) dx) / y1^2(x) dx
where P(x) = 1/x - 31/x^2. Substituting y1(x) and P(x) into the above formula, we get:
y2(x) = x sin(5lnx) ∫ e^(-∫(1/x - 31/x²) dx) / (x sin(5lnx))² dx
Simplifying the exponent and the denominator, we get:
y2(x) = x sin(5lnx) ∫ e^(31lnx - ln(x)) / x^2sin²(5lnx) dx
y2(x) = x sin(5lnx) ∫ x^30 / sin²(5lnx) dx
Let u = 5lnx, then du/dx = 5/x, and dx = e^(-u)/5 du. Substituting u and dx into the integral, we get:
y2(x) = x sin(5lnx) ∫ e^(30u) / sin²(u) e^(-u) du/5
y2(x) = x sin(5lnx) ∫ e^(29u) / sin²(u) du/5
Using integration by parts, we can find that:
∫ e^(29u) / sin^2(u) du = -e^(29u) / sin(u) - 29 ∫ e^(29u) / sin(u) du + C
where C is a constant of integration. Substituting this result into the expression for y2(x), we get:
y2(x) = -x sin(5lnx) e^(29lnx - 5lnx) / sin(5lnx) - 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
Simplifying the first term and using the substitution u = 5lnx, we get:
y2(x) = -x⁶ e^(24lnx) + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
y2(x) = -x⁶ / x^24 + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
y2(x) = -1 / x¹⁸ + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
Therefore, the second solution is: y2(x) = -1 / x¹⁸ + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx) where C is a constant of integration.

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Answer:

$5

Step-by-step explanation:

Start by finding how much money Jacob has after buying a game for himself:

$50-$15=$35

Now, we have to divide $35 by 7 since he has 7 friends...

$35/7=$5

He can spend $5 on each friend

Set x<5 = sagutan mo apapapdifuv

No, we can only suppose that the observed distribution deviates from the expected distribution when we reject the null hypothesis.

The null hypothesis exists as a specific mathematical theory that claims that there exists no statistical relationship and significance between two sets of observed data and estimated phenomena for each set of selected, single observable variables. The null hypothesis can be estimated to define whether or not there exists a relationship between two measured phenomena, which creates it useful. It can let the user comprehend if the outcomes exist as the product of random events or intentional manipulation of a phenomenon.

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Answer:

I replaced alpha by A and bitta by B. Sorry for this mistake

Answer:

Step-by-step explanation:

Given

Then the sum and product of the roots are:

(i) Roots are α + 1 and β + 1, then we have:

(ii) Roots are 2 - α and 2 - β, then we have:

(iii) Roots are α² and β², then:

(iv) Roots are 1/α and 1/β, then:

(v) Roots are 2/α² and 2/β², then:

Answer:

3(x+2)² - 1

Step-by-step explanation:

You have to complete the square and when you complete the square, the coefficient of x must be always 1. But here it's 3. So we need to take 3 out and put the x ones in brackets.

3x² + 12x + 11 = 3 [ x² + 4x ] + 11 = 3 [ (x+2)² - 4 ] + 11 = 3(x+2)² - 12 + 11 = 3(x+2)² - 1

Yup (3) is good for num 4

Answer: 734.7

Step-by-step explanation:

We get rid of 90 and 70 since they are the highest and lowest scores.

80+75+80+85+75 = 395

395 * 3.1 = 1224.5

1224.5*0.6 = 734.7

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

\(\small\bold\orange{ → } \small\bold{ 5^3 + 3(5 − 3) }\)

\(\small\bold\orange{ → } \small\bold{ 5^3 + 3 ( 2 ) }\)

\(\small\bold\orange{ → } \small\bold{ 5^3 + 6 }\)

\(\small\bold\orange{ → } \small\bold{131 }\)

Answer:

3 months

Step-by-step explanation:

Without the 5% interest it would take 2 months to pay it off but with the 5% interest added that's going to 5% of whatever the balance is.

After her 1rst payment of 60$ she will have 66$ left to pay: 120(1/20)+6-60

After her 2nd payment of 60$ she will have 9.3$ left to pay: 66(1/20)+ 3.3-60

so basically 2 payments of $60 and one payment of $0.47

Answer:

yy

Step-by-step explanation:

huuu

Answer:

ба ман нуқтаҳо лозиманд :) умедворам шумо мефаҳмед

Step-by-step explanation:

Answer:

What is the GCF of 75 and 27? The GCF of 75 and 27 is 3.

Step-by-step explanation: