The points (80, 20) and (120, 30) form a proportional relationship. What is the slope of the line that passes through these points?
A.1/4
B.4
C.10
D.40

Automated External Defibrillator(AEDs) administer an electrical shock. So it is dangerous to use n a victim who is lying on a conductive surface.

In the given question we have to explain what is a danger that would stop us from using an AED.

AEDs can be hazardous to use in damp settings, endangering the patient or the person supplying care. When treating the cardiac arrest sufferer, you must be especially careful because AEDs administer an electrical shock. When submerged in water, never use an AED.

Do not use an AED on a victim who is laying on conductive material. If other people are close to conductive items like metal bleachers or sheet metal, they could also get shocked.

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Answer:

10 pages

Step-by-step explanation:

To find 20% of 50, multiply .20 x 50

.2 × 50 = 10

Answer:

10 pages

Step-by-step explanation:

20% of 50 pages

One way is converting 20% to a decimal 0.2

0.2 x 50 = 10 pages.

The average temperature on Earth is greater than the average temperature on Jupiter by 225°F.

The average temperature on earth is greater than the average temperature in Jupiter by 225°F. This can be obtained by getting the average temperatures as follows:

The average temperature on Earth is = 59°F

The average temperature on Jupiter is = -166°F.

Now we represent this in an equation as follows:

-166°F + x = 59°F

x = 59 - (-166)

x = 59 + 166

x = 225°F.

So, the figure with which the average temperature of the earth surpasses the average temperature of Jupiter is 225°F.

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Answer:

-10

Step-by-step explanation:

start at 0 and move backwards 5(gives you -5) then move backwards 5 more(-10)

The literal equation for x is \(\frac{g}{4+5y}\) given that \(g= 4x+5xy\)

The subject of a formula is a way of representing a variable in terms of other variables.

Given the equation

\(g= 4x+5xy\)

Factor out the common variable x

\(g= x(4+5y)\)

Divide both sides by 4+5y

\(\frac{g}{4+5y} =\frac{x(4+5y)}{4+5y} \\\frac{g}{4+5y} = x\\Swap\\x = \frac{g}{4+5y}\)

This shows that the literal equation for x is \(\frac{g}{4+5y}\)

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Answer: A

Step-by-step explanation:

If you look at option A and ignore the -(x+2)^2, it would say f(x) = -3.

So the vertex has y-coordinate -3.

Because the coefficient of -(x+2)^2 is negative, the graph opens downward.

Because it says -(x+2)^2 instead of -(x-2)^2, it will be on the left side of the graph.

The graph meets all of these conditions.

The graph described in option B opens upwards.

The graph described in option C opens upwards and the vertex is in the fourth quadrant.

The graph described in option D opens downwards, but the vertex is in the fourth quadrant.

The coordinates of the particle are (0, 6) at t = 0, (-4, 16) at t = 1, and (-100, 630) at t = 5.

the coordinates of the particle at different times. Let's start by identifying the correct path equations for the particle:

x = -4t^2
y = 6 + 10t^3

Now, we'll find the coordinates at t = 0, 1, and 5:

1. For t = 0:
x = -4(0)^2 = 0
y = 6 + 10(0)^3 = 6
Coordinates at t = 0: (0, 6)

2. For t = 1:
x = -4(1)^2 = -4
y = 6 + 10(1)^3 = 16
Coordinates at t = 1: (-4, 16)

3. For t = 5:
x = -4(5)^2 = -100
y = 6 + 10(5)^3 = 630
Coordinates at t = 5: (-100, 630)

So, the coordinates of the particle are (0, 6) at t = 0, (-4, 16) at t = 1, and (-100, 630) at t = 5.

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Answer:

b) 1990659

Step-by-step explanation:

b) 9*9*9*9=6561, 12*12*12=1728, 8*8*8*8=4096 / 12*12=729, 2*2*2*2*2=32. 6561*1728*4096/729*32=1990656

Answer:

because he just wants his socks to wear

Step-by-step explanation:

We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,(\(H_{0}\)):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,(\(H_{A}\)) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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Answer:

B.4(1/2y+1/2)

C.2y+2

E.2(y+1)

Answer:

Option 2,3, and 5

Step-by-step explanation:

- Collect like-terms in the polynomial to find the perimeter:

3/4y+3/4y+1/2y = 2y

1+1 = 2

= 2y+2

Options 2 and 5 will give the same answer if u distributed them.

3.

I hope this helps.

Answer:

f(-1) = 1

Step-by-step explanation:

Are you missing a number after the negative in f(-)?

If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6

so f(-1) = -5 + 6 so f(-1) = 1

Answer:

its c on edg 2021

Step-by-step explanation:

Answer: 5

Step-by-step explanation: with these problems you're supposed to add all the numbers and then you divide it by the number you're asking to find the probability of so 10/2=5

The probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A spinner with 10 equally sized slices has 2 red slices, 4 yellow slices, and 4 blue slices.

The total number of slices is 10 and the total number of favorable outcome to get a red slice is 2. Thus, the probability that the dial stops on a red slice is,

\(P=\dfrac{2}{10}\\P=\dfrac{1}{5}\)

Thus, the probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.

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Answer: Let's let x be the number of hours worked. Then, the total charge for the first organizer is:

10 + 5x

The total charge for the second organizer is:

11 + 4x

To find the number of hours where the total charges are the same, we can set these two expressions equal to each other:

10 + 5x = 11 + 4x

Subtracting 4x from both sides gives:

10 + x = 11

Subtracting 10 from both sides gives:

x = 1

So the number of hours where the total charges are the same is 1 hour. To find the charge at that time, we can substitute x = 1 into either expression. Let's use the first organizer's expression:

10 + 5x = 10 + 5(1) = 15

So the charge at 1 hour is AED 15.

Step-by-step explanation:

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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Answer:

Given AD = 7 and DB = 12, to find AB you need to add them

AB = 12+7

AB = 19

The measure of the line segment AB is 19 units.

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

\(x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}\)

We are given that;

AD = 7, and DB = 12

Now,

To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.

In this problem, D is between A and B, so we can apply the segment addition postulate and write:

AD + DB = AB

Substituting the given values of AD and DB, we get:

7 + 12 = AB

Simplifying, we get:

19 = AB

Therefore, by the given point the answer will be 19 units.

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After  solving the equation 5(X - C)  = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

In the question ,

it is given that , the matrices are

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .

and the equation is given as 5(X - C)  = D ,

and we have to find the value of unknown matrix X .

let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)

Substituting , the given matrices A , B , C and D in the equation 5(X - C)  = D ,

we get ,

5(X - C)  = D ,

5X - 5C = D ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)

Simplifying further ,

we get ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)

Dividing both sides by 5 ,

we get ,

X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)

Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

The given question is incomplete , the complete question is

Solve the matrix equation for the unknown matrix X.

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is

5(X - C)  = D .

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

The integrating factor μ(x, y) is \(e^(x^2y + x).\)

The general solution of the given differential equation is given by:

\(\int\(x^2ye^(x^2y + x)) dx = C\)

To make the given differential equation exact,

we need to find an integrating factor.

An integrating factor for a first-order linear differential equation of the form M(x, y)dx + N(x, y)dy = 0 can be found by multiplying an integrating factor function μ(x, y) to both sides of the equation.

In this case, the given differential equation is:

\((2 - x)y' + (x^2y - 1) = 0\)

We can rewrite the equation in the standard form as:

\((2 - x)y' + x^2y = 1\)

Comparing this with the standard form M(x, y)dx + N(x, y)dy = 0, we have:

M(x, y) = (2 - x)

N(x, y) =\(x^2y - 1\)

To find the integrating factor μ(x, y), we use the equation:

\(μ(x, y) = e^\int\(∂N/∂x - ∂M/∂y) dx\)

Let's calculate ∂N/∂x and ∂M/∂y:

∂N/∂x = 2xy

∂M/∂y = -1

Substituting these values into the integrating factor equation, we get:

μ(x, y) = \(e^\int\ (2xy - (-1)) dx\)

        =\(e^(x^2y + x)\)

The integrating factor μ(x, y) is \(e^(x^2y + x).\)

To find the general solution, we multiply both sides of the given differential equation by the integrating factor:

\(e^(x^2y + x) * (2 - x)y' + e^(x^2y + x) * (x^2y - 1) = 0\)

Simplifying the equation, we have:

\((2 - x)e^(x^2y + x)y' + (x^2y - 1)e^(x^2y + x) = 0\)

This equation is exact. We can now find the solution by integrating with respect to x. After integrating, we equate the result to a constant of integration:

∫(2 - x)e^(x^2y + x) dx + ∫(x^2y - 1)e^(x^2y + x) dx = C

Integrating each term separately, we get:

\(e^(x^2y + x) + ∫(-e^(x^2y + x)) dx + ∫(x^2ye^(x^2y + x)) dx - ∫(e^(x^2y + x)) dx = C\)

Simplifying and rearranging the terms, we have:

\(e^(x^2y + x) - e^(x^2y + x) + ∫(x^2ye^(x^2y + x)) dx = C\)

The first two terms cancel out, and we are left with:

∫\((x^2ye^(x^2y + x)) dx = C\)

Now, we can integrate the remaining term to find the general solution. However, without additional boundary conditions, it is not possible to obtain an explicit solution.

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Answer:

(03,)(4,4(4,6),(5,10)

Step-by-step explanation:

I’m smart I have an A + so it’s correct

Answer:

  (x, y) = (-1, 5)

Step-by-step explanation:

You want to solve this system of equations by substitution.

The idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.

Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:

  5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y

  x +6 = 5 . . . . . . . . . . simplify

  x = -1 . . . . . . . . . subtract 6

  y = -2(-1) +3 = 5 . . . . . use the second equation to find y

The solution is (x, y) = (-1, 5).

__

Additional comment

Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.

Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.

  4x -y = 3   ⇒   y = 4x -3 . . . . . for example

The attached graph confirms the solution above.

Answer:

Center  = (1,2)  radius = 2

Step-by-step explanation:

I used Demos to graph the circle.

Then I added two line to find the center of the circle

The radius is 2

Answer:

Step-by-step explanation:

there is 1 dime and 12 quarters

Answer:

7 students in each van and 52 students in each bus.

Step-by-step explanation:

v = no of students in van, b = no of student in bus

High school A ⇒ 3v + 6b = 333 ---------- Equation (1)

High school B ⇒ 11v + 6b = 389 ------------ Equation (2)

Solve equation (1) & (2) simultaneously :

11v + 6b = 389

3v + 6b = 333

----------------------- MINUS

8v + 0 = 56

v = 56 / 8

v = 7

Put v = 7 into Equation (1) to get b:

3v + 6b = 333

3 (7) + 6b = 333

21 + 6b = 333

6b = 312

b = 312 / 6

b = 52

So there are 7 students in each van and 52 students in each bus.

Answer:

Its 514.23

Step-by-step explanation:

I just answered this question and I got it correct