The final grade for a class is calculated by taking 75% of the
average test score and adding 25% of the score on the final exam. If all
scores are out of 100 and a student has a 76 test average, what score does
the student need on the final exam to have a final grade of at least 80?

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Answer:

25, 50, and 105.

Step-by-step explanation:

Let the first angle be A, the second angle be B, and the third angle be C.

First, the sum of the three angles in a triangle is 180. Thus:

\(A+B+C=180\)

We know that the measure of A is twice the measure of B. Thus:

\(A=2B\)

And the measure of C is 80 more than the measure of B. So:

\(C=80+B\)

Let's substitute A and C into the original equation:

\(2B+B+80+B=180\)

Now, let's solve for the second angle (B). Combine like terms:

\(4B+80=180\)

Subtract 80 from both sides:

\(4B=100\)

Divide both sides by 4:

\(B=25\)

So, the second angle is 25 degrees.

This means that the first angle is 2(25) or 50 degrees.

And the third angle is 80+25 or 105 degrees.

And we're done!

The angles are 25, 50, and 105.

Answer:

c 57

Step-by-step explanation:

\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)

The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.

To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.

The velocity vector is the derivative of the position function r(t):

\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)

\(= (t^2, 2t, 2)\)

The speed of the particle at any given time t is:

|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)

= √(t^4 + 4t^2 + 4)

= √((t^2 + 2)^2)

To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.

distance = ∫[from -1/3 to 9] |v(t)| dt

= ∫[from -1/3 to 9] |t^2 + 2| dt

= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt

= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)

Evaluating the definite integrals:

distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]

= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]

= [1/27 + 2/3] + [729/3 + 18]

= 1/27 + 2/3 + 729/3 + 18

= 1/27 + 18/27 + 729/3 + 18

= (1 + 18 + 729)/27 + 18

= 748/27 + 18

= 27.63 + 18

= 45.63 units (approximately)

Therefore, the particle travels approximately 45.63 units along the path.

To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.

average speed = distance / time

= 45.63 / (28/3)

= 45.63 * (3/28)

= 4.9179 units per unit time (approximately)

The displacement is the straight-line distance between the initial and final positions of the particle.

displacement = |r(9) - r(-1/3)|

= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|

= |(27, 81, 18) - (-1/27, 1/9, -2/3)|

= |(27 + 1/27, 81

= 2781.

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Answer:

x=-0.9375

Step-by-step explanation:

x= - \(\frac{3}{4}\)-\(\frac{3}{16}\)

x=-0.9375

Answer:

Your answer is 1.25 stay safe ❤.

Step-by-step explanation:

10÷8 = 1.25

Answer:

0.8

Step-by-step explanation:

8 / 10 = 0.8

Answer:

sorry I don't know to do logs and stuff

Step-by-step explanation:

check out Microsoft maths solver helps out a ton.

The proof demonstrates that given a well-ordered set W, an isomorphic ordinal can be found using the function F. The uniqueness of this ordinal is established using the Replacement Axioms. The set F(W) is shown to exist for each x in W, and if the least F(W) exists, it serves as an isomorphism of VV onto -y.

Lemma 2.7: This is a previously stated lemma that is referenced in the proof. Unfortunately, without the specific details of Lemma 2.7, it's difficult to provide further explanation for its role in the proof.

Well-ordered set W: A well-ordered set is a set where every non-empty subset has a least element. In this proof, W is assumed to be a well-ordered set.

Isomorphic ordinal: An ordinal is a mathematical concept that extends the notion of natural numbers to represent order and magnitude. An isomorphic ordinal refers to an ordinal that has a one-to-one correspondence or mapping with another ordinal, preserving their order and magnitude properties.

Function F: The function F is defined to assign an ordinal o to each element x in W. This means that for every x in W, there is a corresponding ordinal o.

Existence and uniqueness: The proof asserts that if there exists an ordinal o that is isomorphic to a specific initial segment of the ordinal VV (the set of all ordinals), then this ordinal o is unique. In other words, there is only one ordinal that can be mapped to the initial segment of VV given by x.

Replacement Axioms: The Replacement Axioms are principles in set theory that allow the construction of new sets based on existing ones. In this case, the Replacement Axioms are used to assert that the set F(W) exists, which is the collection of all ordinals that can be assigned to elements of W.

For each x in W: The proof states that for every x in W, there exists an ordinal o that can be assigned to it. If there is no such ordinal, the proof suggests considering the least x for which such an ordinal does not exist.

The least F(W): The proof introduces the concept of the least element in the set F(W), denoted as the least F(W). If this least element exists, it serves as an isomorphism (a one-to-one mapping) of the set of all ordinals VV onto the ordinal -y.

Overall, the proof outlines the existence and uniqueness of an isomorphic ordinal that can be obtained from a well-ordered set W using the function F, and it relies on the Replacement Axioms and the concept of least element to establish this result.

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The unknown measurements for the triangle are given as follows:

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

Considering that the sum of the measures of the angles is of 180º, the missing angle is given as follows:

m < B = 180 - (130 + 12)

m < B = 38º.

Then the relation is given as follows:

sin(130º)/12 = sin(38º)/b = sin(12º)/c

Then the length b is given as follows:

sin(130º)/12 = sin(38º)/b

b = 12 x sine of 38 degrees/sine of 130 degrees

b = 9.6.

The length c is then given as follows:

sin(130º)/12 = sin(12º)/c

c = 12 x sine of 12 degrees/sine of 130 degrees

c = 3.3.

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Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

Answer:

Step-by-step explanation:

The statement "65% of 150 students" could represent the estimate that 100 students attended the school's play.

To see this, we can calculate 65% of 150:

0.65 x 150 = 97.5

Since 97.5 is close to 100, it is possible that the estimate was based on 65% of 150 students.

The other statements do not come close to 100, so they are not likely to represent the estimate that 100 students attended the school's play.

9514 1404 393

Answer:

  4n

Step-by-step explanation:

For positive multiple number 'n', the value is 4n.

  a[n] = 4n . . . . . where a[n] is the n-th term of the sequence

Answer:

an = 4n

Step-by-step explanation:

got it right on test

Answer:

the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Step-by-step explanation:

the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

-------------------------------

2y = 6x + 8

\(\frac{2y}{2}\) = \(\frac{6x}{2}\) + \(\frac{8}{2}\)

-------------------------------

y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.  

Simon's gross capital loss as a percent of the original price is approximately 16.5%.

To find Simon's gross capital loss as a percentage of the original price, we need to first find the amount of the loss.

The amount of the loss is the difference between the selling price and the original price:

loss = original price - selling price

= $648 - $541

= $107

Next, we can find the percentage of the original price that the loss represents by dividing the amount of the loss by the original price and multiplying by 100:

percent loss = (loss / original price) * 100

= ($107 / $648) * 100

≈ 16.5%

Therefore, Simon's gross capital loss as a percent of the original price is approximately 16.5%.

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Answer:

no

Step-by-step explanation

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  value is   \(T = 51 \ inches \)

Step-by-step explanation:

 From the diagram we can obtain the the height of T  as follows

      \(T = \frac{60 + 42 }{2}\)

Answer:

51 inches

Step-by-step explanation:

By definition of midpoint, 42 through T + T through 60 is congruent to each other.

So, we can add 42+60 together to get the total distance. This is 102.

Next, we divide 102 by 2 because as mentioned since T is the midpoint, each "segment" is exactly 2 halves, they are congruent to each other.

102/2= 51 inches.

hope that helped :)

The value of c in the triangle is (b) 5 units

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

The right triangle

The length c is the hypotenuse of one of the triangles and can be calculated using the following Pythagoras theorem

c² = sum of squares of the legs

Using the above as a guide, we have the following:

c² = 3² + 4²

Evaluate

c² = 25

Take the square roots

c = 5

Hence, the hypotenuse of the right triangle is 5

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The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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Given:

To find V:

Taking cube root on both sides we get,

Thus, the value of V is,

Answer:

2.5 cm

Step-by-step explanation:

From the first 4 bounces, we find that the height of the lacrosse ball after each bounce is 1/4 the height that it was after the previous bounce. Therefore, since the 7th bounce is 6 bounces after the first bounce, we can set up an equation to find the balls height (y), after some number of bounces after the first one:

\(y=10240*(\frac{1}{4})^x\).

Plug-in 6 for x to get 2.5.

Hope this helps :)

In the given graph, it is visible that Sia is swinging from a chandelier. The horizontal distance between Sia and the wall, in meters, is modeled by D(t) where t is the time in seconds. The function is graphed below, along with one segment highlighted.

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Answer:

Exponential decay is represented by the equation:

y = a * e^(-bx)

where:

y is the final value

a is the initial value

b is the decay rate

x is the time variable

The exponential decay rate, b, can be found by taking the natural logarithm (ln) of both sides of the equation, then rearranging to isolate the decay rate:

ln(y/a) = -bx

b = -ln(y/a)/x

So, to find the exponential decay rate, you would need to know the initial value (a), the final value (y), and the time elapsed (x). Then, you can use the formula above to calculate the decay rate, b.

The expressions "1+b" and "1-b" are not sufficient to find the exponential decay rate, as they do not contain enough information about the specific scenario or data set.

if this helps, can you please mark my answer brainliest?

Answer:

2:15

Step-by-step explanation:

legit just mush it up and add or sum .-.

The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).

The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.

The constant term of 3 represents a vertical shift upwards by 3 units.

To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.

In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.

Therefore, setting x - 4 = 0, we find x = 4.

Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.

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Answer:

Step-by-step explanation:

Hey there! :)

Answer:

The 2nd choice.

Step-by-step explanation:

Looking at the tables, we can eliminate those that do not show an increase, then a decrease in speed.

Table 1:

The speed goes from 45, 43, 41, 42, to 43. This shows a decrease, then an increase. This choice is incorrect.

Table 2:

The speed goes from 45, 47, 49, 48 to 47. This shows an increase, then a decrease. This choice is correct.

Table 3:

The speed goes from 45, 45, 45, 43, to 41. This shows a constant speed, until a final decrease. This choice is incorrect.

Table 4:

In this table, the speed goes from 45, 43, 41, 41 and ends at 41. This shows an initial decrease, then a constant speed. This is incorrect.

Therefore, only table 2 shows an increasing, then decreasing speed.