Which graph represents
y= -2x?

Answer: 168 liters

Step-by-step explanation:

From the information given , we are informed that they put out 12 three-and-a-half liter containers and that each of these containers was filled four times during the storm.

The amount of rain that was collected in all goes thus:

Since each container was filled 4 times, the amount filled by each container will be:

= 3 1/2 liters × 4

= 14 liters

Therefore, the total amount for the 12 containers will be:

= 12 × 14 liters

= 168 liters

Answer:

48 °

Step-by-step explanation:

The following data were obtained from the question:

Adjacent = 12 cm

Hypothenus = 18 cm

Angle R =?

We can obtain angle R by using cosine ratio. This can be obtained as follow:

Cos R = Adjacent / Hypothenus

Cos R = 12 / 18

Cos R = 0.6667

Take the inverse of Cos

R = Cos¯¹ 0.6667

R = 48 °

Thus, <QRP = 48 °

Answer:

sinA = 12/13, cosA = 5/13, tanA = 12/5

sinB = 5/13, cosB = 5/13, tanB = 5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Sin(A) = 12/13

Sin(B) = 5/13

Cos(A) = 5/13

Cos(B) = 12/13

Tan(A) = 12/5

Tan(B) = 5/12

If (-2)^k+1 x (-2)^3 = (-2)^7

then,

k+1+3= 7

k= 7-3-1

k= 7-4

k=3

Answer:

Hahaha hahaha hahaha hahaha

The number of steps that Julissa walked each hour is 3409.6 steps per hour.

According to this question, Julissa works in the warehouse of a large online retailer. She walked 20,458 steps on Tuesday from 9:00 a.m. to 3:00 p.m.

9:00 a.m to 3:00pm is 6 hours difference. This means that Julissa walked 20,458 steps in 6 hours.

Therefore, Julissa walked 20,458 steps ÷ 6 = 3409.6 steps per hour.

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Answer:

it's A

Step-by-step explanation:

(i) A Venn-diagram of this information is shown below.

(ii) The number of students who like picnic = 34

(iii) The number of students who like hiking only = 51

(iv) The percentage of students who like picnic only. = 45.33%

Let us assume that A represents the set of students who like picnic.

B represents the set of students who like the hiking.

The total number of students in a  class are: n(A U B) = 75

Out of 75 students, 10 like both the activities.

n(A ∩ B) = 10

The ratio of the number of students who like picnic to those who like hiking is 2 : 3

Let number of students like tea n(A) = 2x

and the number of students like coffee n(B) = 3x

n(A U B) = n(A) + n(B) - n(A ∩ B)

75 = 2x + 3x - 10

75 + 10 = 5x

85/5= x

x = 17

The number of students like picnic = 2x

                                                          = 2 × 17

                                                          = 34

The number of students like hiking = 3x

                                                           = 3 × 17

                                                           = 51

This informtaion in Venn diagram is shown below.

The percentage of students who like picnic only would be,

(34/75) × 100 = 45.33%

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The standard form of equation of ellipse with endpoints of major axis (-6, 7) and (-6,-9) and minor axis (-2, -1) and (-10, - 1) is given by 36(x + 6)² + 64(y + 1)² = 2304.

Endpoints of major axis are,

(-6, 7) and (-6,-9)

Endpoints of minor axis are,

(-2, -1) and (-10, - 1)

To find the standard form of the equation of an ellipse,

Determine the center, major axis length, and minor axis length of the ellipse.

The endpoints of the major axis (-6, 7) and (-6, -9),

Observe that the center of the ellipse is the midpoint between these two points.

The x-coordinate of the center will be -6, and the y-coordinate will be the average of 7 and -9, which is -1.

The major axis length is the distance between the endpoints of the major axis.

It is the distance between (-6, 7) and (-6, -9),

which is 7 - (-9) = 16.

Similarly, the endpoints of the minor axis (-2, -1) and (-10, -1),

Observe that the center of the ellipse remains the same, (-6, -1).

The minor axis length is the distance between the endpoints of the minor axis,

which is 10 - (-2) = 12.

Now, use the standard form of the equation for an ellipse centered at (h, k),

((x - h)² / a²) + ((y - k)² / b²) = 1

Where (h, k) represents the center of the ellipse,

'a' represents the semi-major axis length,

and 'b' represents the semi-minor axis length.

Here, the center is (-6, -1),

The semi-major axis length is 16/2 = 8,

and the semi-minor axis length is 12/2 = 6.

Plugging these values into the equation, we have,

((x + 6)² / 8²) + ((y + 1)² / 6²) = 1

Simplifying further,

(x + 6)² / 64 + (y + 1)² / 36 = 1

Multiplying through by 64 and 36 to eliminate the fractions, we get,

36(x + 6)² + 64(y + 1)² = 64 × 36

Simplifying further,

36(x + 6)² + 64(y + 1)² = 2304

Therefore, the standard form of the equation of the ellipse satisfying the given conditions is equal to 36(x + 6)² + 64(y + 1)² = 2304.

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The new price of the shoe before taxes will be $ 35.75.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

It cost Nike $55 to make the "Kyrie 5".

You just found a coupon for 35% off.

Then the new price of the shoe before taxes will be

⇒ (1 - 0.35) x 55

⇒ 0.65 x 55

⇒ $ 35.75

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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The null hypothesis is H0: µ1 = µ2 and the alternative hypothesis is H1: µ1 ≠ µ2. Based on the output, the participants who received instructions with images made 1.09 errors on average, and those who received instructions without images made 2.04 errors on average.

The t-value for testing the equality of means was -13.21 and the degrees of freedom for this test were 498. Based on the output, the p-value suggests that we reject the null hypothesis. Therefore, based on our analysis, we can conclude that the number of errors made while assembling furniture significantly differed between groups.The APA formatted write up for your analysis would be:The 250 participants who followed assembly instructions with images made significantly fewer errors (M = 1.09, SD = .81) compared to the 250 participants who followed assembly instructions without images (M = 2.04, SD = .80), t (498) = -13.21, p < .001. Thus, we can conclude that images significantly reduced the number of errors.

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To solve for the IS-LM equilibrium in an economy, we need to calculate the IS equation, LM equation, equilibrium level of income, and equilibrium level of interest rate. Given the functions for consumption (C), saving (S), investment (I), money supply (Ms), and money demand (Md), we can derive these values.

(a) IS equation:

The IS equation represents the equilibrium condition in the goods market. It is derived by equating national income (Y) with aggregate demand (C + I + G), where G represents government spending. In this case, the equation is:

Y = C + I

Substituting the given consumption and investment functions, we have:

Y = (100 + 0.8Y) + (120 - 5r)

Simplifying the equation, we get:

Y = 220 + 0.8Y - 5r

(b) LM equation:

The LM equation represents the equilibrium condition in the money market. It is derived by equating money supply (Ms) with money demand (Md). In this case, the equation is:

Ms = Md

Substituting the given money supply and money demand functions, we have:

120 = 0.2Y - 5r

(c) Equilibrium level of income:

To find the equilibrium level of income, we solve the IS equation for Y. Rearranging the IS equation from part (a), we get:

0.2Y = 220 - 5r

Y = (220 - 5r) / 0.2

(d) Equilibrium level of interest rate:

To find the equilibrium level of interest rate, we solve the LM equation for r. Rearranging the LM equation from part (b), we get:

5r = 0.2Y - 120

r = (0.2Y - 120) / 5

By substituting the equilibrium level of income (Y) into the LM equation, we can find the corresponding equilibrium level of interest rate (r). Similarly, by substituting the equilibrium level of interest rate (r) into the IS equation, we can find the corresponding equilibrium level of income (Y). These values represent the IS-LM equilibrium in the economy.

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Answer:

you multiply all of those answers

Step-by-step explanation:

Answer:cab

Step-by-step explanation:

Answer: c. GBF

Step-by-step explanation:

Answer:

Translate (5,0)

Translate (0,4)

Step-by-step explanation:

Translate to the right five spaces, then translate downward four spaces

Answer:

the question is invalid. please rewrite the question.

A compound event is any event combining two or more simple events.

From the question, we have the following parameters that can be used in our computation:

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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Answer:

the answer is......8.90

Answer:

8.90

Step-by-step explanation:

53.4 ÷ 6

= 53.4 / 6

= 534 / 60

= 8.90

The answer is 21/20.

To prove the given identity, we need to rewrite the left side of the equation in the form of the right side of the equation. We can use the trigonometric identity (a + b)² = a² + 2ab + b² to expand the second term of the left side of the equation.

So, we can rewrite the given identity as follows:

25 sin²(y) + (2 + 5 cos(y))²

= 29 + 20 cos(y)

Expanding the second term of the left side of the equation using the identity (a + b)² = a² + 2ab + b²,

we get: 25 sin²(y) + (2)² + 2(2)(5 cos(y)) + (5 cos(y))²

= 29 + 20 cos(y)

Simplifying the left side of the equation, we get:

25 sin²(y) + 4 + 20 cos(y) + 25 cos²(y)

= 29 + 20 cos(y)Rearranging the terms, we get:

25 sin²(y) + 25 cos²(y) - 20 cos(y)

= 29 - 4

Simplifying further,

we get:25 (sin²(y) + cos²(y)) - 20 cos(y)

= 25 - 4

Therefore, the left side of the equation is equivalent to the right side of the equation.

We can verify the given identity as follows:

25 sin²(y) + (2 + 5 cos(y))²

= 29 + 20 cos(y)25 sin²(y) + 4 + 20 cos(y) + 25 cos²(y)

= 29 + 20 cos(y)25 sin²(y) + 25 cos²(y) - 20 cos(y)

= 25 - 425 (sin²(y) + cos²(y)) - 20 cos(y)

= 21cos(y)

= 21/20Therefore, the given identity is verified.

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False. An even function is a periodic function that satisfies the condition f(x) = f(-x) for all x.

It has the property that its Fourier series only contains cosine terms, and no sine terms. The reason for this is that sine functions are odd and change sign when the variable is negated, while cosine functions are even and remain unchanged under negation. Therefore, when we take the average of the function over one period, the sine terms will cancel out to zero because they are equal and opposite over symmetric intervals. Only the cosine terms will contribute to the average, resulting in a Fourier series with only cosine terms.

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Answer:

7 17/99

Step-by-step explanation:

The contact force F3→2 that box 3 exerts on box 2 during the acceleration is 82.45N.

The solution to the problem is:

Calculation of contact force F1→2

The net force on the 2nd box is given by,

\(F_{net,2}=m_2a\\= 4.5 kg×0.90 m/s^2\\=4.05N\)

The contact force F1→2 that the 1st box exerts on the 2nd box is given by

\(F_{1→2}=F_{net,2}−w_1 \\= 4.05 N - 3.5 kg×9.8m/s^2\\=-32.95N\)

Thus, the contact force F1→2 that box 1 exerts on box 2 during the acceleration is -32.95N.

Calculation of contact force F3→2

The net force on the 2nd box is given by,

\(F_{net,2}=m_2a \\= 4.5 kg×0.90 m/s^2\\=4.05N\)

The weight of the 3rd box is given by,

\(w_3 = m_3g \\= 8.0 kg×9.8m/s^2\\=78.4N\)

The contact force F3→2 that the 3rd box exerts on the 2nd box is given by,

\(F_{3→2}=F_{net,2}+w_3\\=4.05N+78.4N\\=82.45N\)

Thus, the contact force F3→2 that box 3 exerts on box 2 during the acceleration is 82.45N.

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Answer: A, TRUST ME!

Step-by-step explanation:

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Answer:

$16.28

Step-by-step explanation:

44.%

Move the decimal up by two numbers to get a whole number, .44

and multiply .44 by $37

Answer:

Step-by-step explanation:

Let the number of free throws = x

And the number of regular field goals = y

Total shots made by the team = 31

Equation for the shots will be,

x + y = 31 ------(1)

If the team gets 1 point for free throws and 2 points for a regular field goal,

x + 2y = 49 --------(2)

[total points gained by the team = 49]

1). Option (2) is the correct option.

2). Subtracting equation (1) from equation (2),

  (x + 2y) - (x + y) = 49 - 31

  y = 18

  Therefore, number of  regular field goals made by the team = 18

Answer:

D

Step-by-step explanation:

Answer: The width is 5.

Step-by-step explanation:

'(2+w)+(2+w)+2w=24

4+4w=24

W=5

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, the statement which is most likely true for g is that: A. g(-13) = 20.

In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.

Based on the information provided in this scenario, the domain and range of this function g(x) in interval notation are as follows:

Function g(0) = 2 is false because it was stated that g(0) = -2. Also, g(-4) = -11 is outside the scope of the given range for this function.

Furthermore, function g(7) = -1 is not within the domain for the given function. However, we can logically deduce that g(-13) = 20 is within the domain for the given function and it would produce an output that is within the scope of the given range for this function.

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