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The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

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Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

m < S = 40°

Step-by-step explanation:

According to the Triangle Exterior Angle Postulate, the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

The exterior angle is m < R = 140°.  In reference to the Triangle Exterior Angle Postulate, the sum of the measures of < T and < S must equal 140°.

Given m < T =  (8x + 4)°

          m < S = (3x + 4)°

We can set up the following equality statement to solve for the value of x:

m < R = m < T + m < S

140° = (8x + 4)° + (3x + 4)°

Combine like terms:

140° = 11x + 8

Subtract 8 from both sides:

140° - 8 = 11x + 8 - 8

132° = 11x

Divide both sides by 11:

132°/11 = 11x/11

12 = x

Substitute the value of x into the equality statement to verify whether it is the correct value:

140° = (8x + 4)° + (3x + 4)°

140° = [8(12) + 4]° + [3(12) + 4]°

140° =  (96 + 4)° + (36 + 4)°

140° = 100° + 40°

140°  = 140° (True statement. Therefore, the correct value for x = 12).

Therefore, m < S = (3x + 4)° = [3(12) + 4]° = 40°

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Answer:

Step-by-step explanation:

The formula for determining distance is expressed as

Distance = speed × time

From the information given,

Speed of boat = 10 miles per hour

It means that the distance that the boat covered after t hours is 10 × t = 10t miles

Since the boat is 100 miles away from the marina and it is sailing directly towards it, then the equation for the distance of the boat from the marina after t hours is

Distance = 100 - 10t

Answer:

I think it would be 120

Step-by-step explanation:

You add 120+120 and it would equal 240. Then 240 dived by 2 which will equal 120.

(120 + 120)= 240 dived by 2= 120 I might be wrong

After 1 year of time period, Ana would have $1051.7 in her account, including interest.

Ana opened a bank account with $1000 that earns interest, compounded continuously, at an annual rate of r. To calculate the amount of money in the account after t years, we can use the formula:

\(A = P * e^{(rt)}\)

where A is the amount in the account after t years, P is the initial deposit (in this case, $1000), r is the annual interest rate, and e is the mathematical constant approximately equal to 2.718.

For example, if the interest rate is 5% (r = 0.05), after 1 year, the amount in the account would be:

\(A = \$1000 * e^{(0.05 * 1)} = \$1000 * 1.0517\)

\(A = \$1051.7\)

So, after 1 year, Ana would have $1051.7 in her account, including interest. The higher the interest rate and the longer the time period, the more money Ana would have in her account due to the compounding effect.

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

Right Answer

Step-by-step explanation:

Cindys tine was 9.5 minutes

Answer:

i think its the one on the left. The blue one concine.

Step-by-step explanation:

Answer:

20 crayons you divide 123 by 6

Answer:

\( 0.34 \leq p \leq 0.38\)

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

Step-by-step explanation:

For this case we have a confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be given by:

\( 0.34 \leq p \leq 0.38\)

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

Answer:

that looks like the directions

Step-by-step explanation:

can you put a screenshot of the problem.

Answer:

a root of f(k) is x=k

Step-by-step explanation:

(x + k) is a factor of f(x)

This means that:

\(x + k = 0\)

\(x = -k\)

Thus, one root of f(x) is x = -k, and the correct answer is given by the third option, from top to bottom.

Answer:

a root of f(k) is x=k

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The discount is the original price times the discount rate

200 * .30

60

Hello! Your answer would be B, 3,504

Explanation:

So it states that a car loses a quarter of its value every year and it ask us to find in 9 years, A quarter is actually 25%, so we would have to divide 35,000 with 25 to find the first year.

Final Result: B

Answer:

16/58 = 8/29

Step-by-step explanation:

p = number of required outcome/number of total out come

p = 16/58 ie number of people that read five book divided by total number of people

The complete table of values is

x    f(x) = x   g(x) = -3x

0        0              0

1          1              -3

2         2             -6

The slope of g(x) is -3 and the graph is reflected across the x-axis

From the question, the given parameters are

f(x) = x

g(x) = -3x

The x values on the tables are

x = 0, 1 and 2

So, we have

f(0) = 0, f(1) = 1 and f(2) = 2

Also, we have

g(0) = 0, g(1) = -3 and g(2) = -6

Next, we determine the slope and the transformation

We have

f(x) = x and g(x) = -3x

A linear equation is represented as

y = mx

Where m is the slope

This means that the slope of g(x) is -3

Also, because of the negative sign in g(x) = -3x, it means that the graph is reflected across the x-axis or the y-axis

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The range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

The range of function g depends on the range of the function f.

Let's start by assuming that we know the range of f.

If the range of f is Rf, then the range of -2f is the set {-2y | y ∈ Rf}, which is just the set of all numbers that can be obtained by multiplying an element of Rf by -2.

Finally, we add 1 to each of these values to get the range of g. Therefore, the range of g is:

Rg = {1 - 2y | y ∈ Rf}

In other words, the range of g is obtained by taking the range of f, multiplying each element by -2, and adding 1 to each result.

If we don't know the range of f, we can still say something about the range of g. Specifically, we know that g(x) can never be greater than 1 (since the largest value that -2f(x) can take is 0, and adding 1 to 0 gives us 1), and g(x) can never be less than 1 - 2M, where M is the largest possible value that f(x) can take on. In other words, the range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

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Answer:

Step-by-step explanation:

Lets verify the ratio of corresponding sides:

Two sides are similar and the included angles are congruent as vertical angles:

Answer:

-4x^3-22x^2+x+15

Step-by-step explanation:

multiply each of the terms by the binomial

-4x^3+6x^2-28x^2+21x-20x+15

simplify

-4x^3-22x^2+x+15

Answer:

(4x -3)(-2x^2 -7x-5)

(-8x^3 -28x^2 -20x) +(6x^2 +21x +15)

-8x^2 -22x^2 +1x +15

Answer: -10s +15

-10 = 10 meters down

s = seconds

+ 15 = 15 meters risen

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

Answer:   5/8

Step-by-step explanation:

Answer:

The probability is 5/8

Step-by-step explanation:

First, we must add all the numbers together. 5 + 8 + 7 + 4 = 24. Now, let's add the white balls and green balls. 5 + 4 = 9. Therefore, the probability of choosing a white or green ball is 9/24 which also equals 3/8. To find out the probability of NOT choosing white or green, we must subtract 9 from 24. 24 - 9 = 15. So, the probability of choosing neither the white or green balls equals 15/24 which also equals 5/8.

Hope this helps!!

Answer:

  \(\textbf{A. }\quad\dfrac{b^4}{a}\)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

___

The expression can be rewritten as ...

  \(\dfrac{a^3b^5}{a^4b}=a^{3-4}b^{5-1}=a^{-1}b^4\\\\=\boxed{\dfrac{b^4}{a}}\)

Answer:

a

Step-by-step explanation:

aced test

The simplified form of the expression; 16^¾ as given in the task content is; 8.

It follows from the task content that the simplified form of the expression as given in the task content is to be determined.

Since the given expression is; 16 ^ ¾.

It follows from the rational exponents law of indices that we have;

⁴√16³

where 16³ = 4096

Therefore, we have; ⁴√4096

The result is therefore; ⁴√4096

= 8.

On this note, the simplified form of the expression 16^¾ is; 8.

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The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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Answer: 25 inches

Step-by-step explanation:

MB=BM

MB=15

MV=MB+BV

MV=15+10

MV=25 inches

Part a

we have the function

Find out the inverse

step 1

Let

y=f(t)

step 2

Exchange the variables (y for t and t for y)

step 3

Isolate the variable y

Apply the definition of logarithm

Part B

we have the function

Find out the inverse of function g(t)

Exchange the variables

Isolate the variable y

The domain of the inverse function is all real numbers except for t=0

so