Does the story ( Jada's teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each bag weigh? Matches the equation 3(x + 5) =17

Answer:

23+15 or 2/3+1/5

Step-by-step explanation:

23+15=48

2/3+1/5= 13/15

Add all numerators above the least common denominator then add the numbers

The midpoint for zero is (0,0).

The midpoint can be zero. This is dependent on the value of the two points. For two points on a number line on points with values -4, and 4, the midpoint is 0. And for two points such as (-2, 5), and (2, -5), the midpoint is equal to (0, 0).

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

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Answer:-2,6

Step-by-step explanation:

Answer: =0.39 J

Step-by-step explanation:

The height will be taken only in the vertical direction. Then the relative height will be 0.20 meters.

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

2.0 kg pendulum swings from point A of height y₁ = 0.10 m to point B of height y₂ = 0.12 m.

The relative height is given as,

y₁₂ = y₂ - y₁

y₁₂ = 0.12 - 0.10

y₁₂ = 0.02 m

The height will be taken only in the vertical direction. Then the relative height will be 0.20 meters.

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Answer:

The answer to the logarithm is 2 so inputting this into the equation it would now be 2 ( 4 + 6) - 2(4) = 4 now solving it would be 20 - 8 which is 12/3 which is 4 so the final answer will be 1/4.

Step-by-step explanation:

Answer: side CD = CY

Step-by-step explanation:

They are asking for ASA = Angle, Side, Angle. And they already gave you the two angles so they are asking for the side

The provided values for the independent-measures study the repeated-measures study had 21 subjects.

The degrees of freedom (df) for both the repeated-measures and independent-measures studies.

For a repeated-measures, the degrees of freedom calculated using the formula:

df = N - 1

where N is the number of subjects.

An independent-measures study, the degrees of freedom calculated using the formula:

df = (n1 + n2) - 2

where n1 and n2 are the sample sizes of the two groups.

Given that both studies produce a t statistic with df 20, the equations as follows:

For the repeated-measures study:

df = N - 1

20 = N - 1

N = 20 + 1

N = 21

Therefore, the repeated-measures study had 21 subjects.

For the independent-measures study:

df = (n1 + n2) - 2

20 = (n1 + n2) - 2

Different combinations of n1 and n2 to find the values that satisfy the equation the given values:

20 = (0 + 40 + 22 + 42 + 21) - 2

20 = 125 - 2

20 = 123.

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Answer:

C

Step-by-step explanation:

f(x)=72-4x

72-4x=0

4x=72

x=18

f(x)<=18

The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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Answer:

z= 117°

y = 34

Hope it helps!

Step-by-step explanation:

(5y - 53) + 63 =180°

5y + 10 =180

5y = 170

y= 34

z and y are congruent (vertical angles)

5 (34) - 53 = z

170 - 53 = z

z = 117

The correct statements about given synthetic division are C, D, and F

"It is a polynomial with degree 2."

"It is defined as a way of dividing one polynomial by another polynomial of first degree."

For given question,

We have been given a quadratic polynomial \(F(x)=4x^{2} -17x-15\)

We can factorize above quadratic polynomial as,

\(F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)\)

This means the factors of \(4x^{2} -17x-15\) are (x - 5) (4x + 3)

And the roots of the polynomial would be,

\(\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}\)

This means, the roots of \(4x^{2} -17x-15\) are 5 and \(\frac{-3}{4}\)

Therefore, the correct statements about given synthetic division are C, D, and F

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

The general solution of the system x'(t) = Ax(t), where A is the given matrix, can be found by solving the system of linear differential equations associated with it.

To find the general solution, we need to solve the system of linear differential equations x'(t) = Ax(t), where x(t) is a vector-valued function and A is the given matrix.

The solution involves finding the eigenvalues and eigenvectors of the matrix A. The general solution will have the form x(t) = c₁v₁e^(λ₁t) + c₂v₂e^(λ₂t) + ... + cₙvₙe^(λₙt), where c₁, c₂, ..., cₙ are constants, v₁, v₂, ..., vₙ are eigenvectors, and λ₁, λ₂, ..., λₙ are eigenvalues of A.

This general solution represents a linear combination of exponential functions, where each term corresponds to an eigenvalue-eigenvector pair. The specific values of the constants are determined by initial conditions or boundary conditions provided in the problem.

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Answer:

180 degrees

Step-by-step explanation:

A full circle is 360 degrees

Parallel is half of a circle, so, 360/2=180

Hope it Helps

The selling price is $36.25 and the markup amount is $11.25.

Given, Original cost of the bracelet, C = $25

Markup is 45% on the selling price

We need to calculate the selling price and the amount of the markup.

a) Selling price

We can find the selling price using the following formula:

Selling price = (1 + Markup%) × CostPrice = C × (1 + Markup%)

Putting the given values in the formula, we get:

Selling price = $25 × (1 + 45/100) = $25 × 1.45 = $36.25

Selling price of the bracelet is $36.25

b) Markup amount

The markup amount can be found using the following formula: Markup amount = Selling price - Cost price

Markup amount = $36.25 - $25 = $11.25

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Answer:

$15.00

Step-by-step explanation:

25% of anything means a quarter of that thing. (ie.1/4 of $60 which is $15).

OR

(25/100)*$60

0.25*60=$15

Answer:

O 3x+12

Step-by-step explanation:

3(x + 4) = (3 · x) + (3 · 4)

= 3x + 12

Given the probabilities P(A) = 0.7, P(Ac) = 0.3, P(B|A) = 0.4, and P(B|Ac) = 0.8, the joint probabilities can be calculated as follows: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.12, and P(Ac and Bc) = 0.18.

The joint probability P(A and B) represents the probability of events A and B occurring simultaneously. It can be calculated using the formula P(A and B) = P(A) * P(B|A). Given that P(A) = 0.7 and P(B|A) = 0.4, we can multiply these probabilities to obtain P(A and B) = 0.7 * 0.4 = 0.28.

It can be calculated as P(A and Bc) = P(A) * P(Bc|A). Since the complement of event B is denoted as Bc, and P(Bc|A) = 1 - P(B|A), we can calculate P(A and Bc) as P(A) * (1 - P(B|A)) = 0.7 * (1 - 0.4) = 0.42.

Finally, P(Ac and Bc) represents the probability of both event A and event B not occurring. It can be calculated as P(Ac and Bc) = P(Ac) * P(Bc|Ac). Using P(Ac) = 0.3 and P(Bc|Ac) = 1 - P(B|Ac), we can calculate P(Ac and Bc) as P(Ac) * (1 - P(B|Ac)) = 0.3 * (1 - 0.8) = 0.18.

Therefore, the joint probabilities are: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.24, and P(Ac and Bc) = 0.18.

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Answer:

y > 4 or y < -4

Step-by-step explanation:

The nth-order Taylor polynomials of the function f(x) = sin(x) centered at a = π/4 are to be found for n = 0, 1, and 2. Additionally, the graph of the Taylor polynomials and the function needs to be plotted.

a) For n = 0, the zeroth-order Taylor polynomial is simply the value of the function at the center point a. In this case, f(π/4) = sin(π/4) = √2/2.

b) For n = 1, the first-order Taylor polynomial is obtained by including the linear term in the Taylor series expansion. The general formula for the first-order Taylor polynomial is P₁(x) = f(a) + f'(a)(x - a). Plugging in the values, we have P₁(x) = √2/2 + cos(π/4)(x - π/4).

c) For n = 2, the second-order Taylor polynomial includes the quadratic term in the Taylor series expansion. The general formula for the second-order Taylor polynomial is P₂(x) = P₁(x) + f''(a)/2!(x - a)². Plugging in the values and simplifying, we have P₂(x) = √2/2 + cos(π/4)(x - π/4) - sin(π/4)(x - π/4)²/2.

To graph the Taylor polynomials and the function, plot the points using the above equations for each value of n, and connect them to form the polynomial curves. The function f(x) = sin(x) can also be plotted to observe its relationship with the Taylor polynomials.

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Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.

Given the diameter of the balloon = 55 ft

Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft

Rate of change of radius = 1.5 ft/min.

The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)

                                                              = 87069.583 \(ft^3\)

Two- thirds of the volume = (2/3) x 87069.583 = 58046.389  \(ft^3\)

Let R be the radius of the balloon with two-thirds of its maximum volume.

Then, \(\frac{4}{3}\pi R^3\) =  58046.389

⇒          \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583

⇒            \(R=13864.583^\frac{1}{3}\)

⇒           R = 24.023 ft

Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.

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Answer:

A) 16 minutes

Step-by-step explanation:

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If the maximum height of the ball is greater than or equal to the height of the fence, then it would clear the fence.

To determine whether the ball hit towards the fence would clear it, we need to use the laws of projectile motion. Assuming the ball was hit at an angle of 45 degrees, we can calculate the maximum height it would reach using the following formula:

h = (\(v^{2}\) * \(sin^{2} \alpha\)) / (2g)

where h is the maximum height, v is the initial velocity, \(\alpha\) is the launch angle, and g is the acceleration due to gravity (9.8 m/\(s^{2}\)).

Since we know the distance the ball traveled (130 feet), we can use the following formula to calculate the initial velocity:

d = \(v^{2}\) * sin(2\(\alpha\)) / g

where d is the distance, v is the initial velocity, \(\alpha\) is the launch angle, and g is the acceleration due to gravity (9.8 m/\(s^{2}\)).

Converting the distance and height to meters (since the formula uses SI units), we have:

d = 130 * 0.3048 = 39.624 m

h = 7.62 m (assuming a 45 degree launch angle)

Using the second formula, we can solve for the initial velocity:

v = \(\sqrt{dg/sin2\alpha }\) = \(\sqrt{39.624*9.8/sin(90)}\) = 28.07 m/s

To determine whether the ball would clear the fence, we need to calculate the height of the fence in meters:

fence_height = 25 * 0.3048 = 7.62 m

If the maximum height of the ball is greater than or equal to the height of the fence, then it would clear the fence. In this case, since the maximum height is 7.62 m and the fence height is also 7.62 m, the ball would just clear the fence if it was hit directly towards it at a launch angle of 45 degrees. However, if the ball was hit at a different angle or with a different initial velocity, the outcome could be different.

Correct Question:

There is a 25ft fence, 130 feet away from where the ball was hit. If the ball was hit towards the fence, would it be high enough to clear the fence?

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Answer:

Step-by-step explanation:

The area formula for a square is

\(A=s^2\) where A is the area and s is a side measure. In a square, this side measure is the same (because all 4 sides in a square are the same). Therefore, our formula becomes:

\(1369=s^2\)

Take the square root of both sides to find that a side measures 37 m.

The perimeter of a square is to add all 4 sides together (or to multiply the one side by 4):

4 * 37 = 148 m

Answer:

iq don't no ok dear

mruxfjiceyi

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

\(f(-2)=(-2)^2+3=4+3=7\)

a pair of jenas that sell for $49

rate of tax is 6%

cost of that jeans is ?

Let the cost of jeans = x

through question

or, $49 = X + X×6%

or,$49 = X + X×6/100

or, $49 = 106X/100

or, $4900 = 106X

or, X = $4900/106

: X = $46.226

thus ; the cost of jeans is $46.226

Answer:

51.94

Step-by-step explanation:

6% of 49 is 2.94. 49 + 2.94 = 51.94

Answer:

Step-by-step explanation:

1.

all the lines with slope 2 are parallel with each-other

all the lines with slope 1/3 are parallel with each-other

2.

all lines have positive slope so they go upward from left to right

3.

slope 2 is steeper then slope 1/3

4.

the distance between the parallel lines with slope (1/3) is greater for the lines with the slope 2

the drop-down boxes to complete the steps of the proof =

1. Tangent Half-angle identity

2. 1 + cos x

3. 1 - cos x

In mathematics, trigonometric functions are real functions that relate the angles of a right triangle to the ratio of the lengths of its two sides. They are widely used in all geometry-related sciences such as navigation, solid mechanics, celestial mechanics, and geodesy.

Trigonometric periodic functions repeat at predictable intervals, but are not a direct result of trigonometric functions. It can be used to accurately predict values ​​outside the original range. Common non-trigonometric functions include: Four corners. triangle.

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The question is incomplete. Please read below to find the missing content.

This proof shows the first five steps for verifying cot^2 (x/2)= cos x+1/cos c-1 use the drop-down boxes to complete the steps of the proof

The value of x is x = 9/4. The equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4

The equation 2xc = d and 2x + 1 = 9 are similar in that they are both linear equations and involve the variable x.

However, they are different in that they have different constants and coefficients.

How to use 2xc = d to solve 2x + 1 = 9? To use 2xc = d to solve 2x + 1 = 9, you first need to rewrite 2x + 1 = 9 in the form 2xc = d.

To do this, you need to isolate x on one side of the equation. 2x + 1 = 9

Subtract 1 from both sides2x = 8. Divide both sides by 2x = 4Now, we can write 2x + 1 = 9 as 2x * 1/2 = 9/2.

Therefore, we can see that this equation is similar to 2xc = d, where c = 1/2 and d = 9/2.

We can use this relationship to solve for x in the equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4 Therefore, x = 9/4.

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