help! I barely understand.

1 liter=1,000 millimeters

Answer:

5.5

Step-by-step explanation:

12+6=18

18÷2=9

9-3.5=5.5

Answer: You use the method of pendas and in this case u gonna do first the division, then addition and last substract. first u do 6/2 = 3. Now that u had that answer you sum 3 + 12 = 15 - 3.5 = 11.5

Answer:

1. Elanor's standardized score is 1.08.

2. Gerald's standardized score is 3.24.

3.  A. Gerald.

Step-by-step explanation:

Z-score:

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

1. What is Elanor's standardized score?

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 561 and standard deviation 110. This means that we have \(X = 680, \mu = 561, \sigma = 110\).

The standardized score is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{680 - 561}{110}\)

\(Z = 1.08\)

Elanor's standardized score is 1.08.

2. What is Gerald's standardized score?

Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20.2 and standard deviation 2.1. This means that we have \(X = 27, \mu = 20.2, \sigma = 2.1\)

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{27 - 20.2}{2.1}\)

\(Z = 3.24\)

Gerald's standardized score is 3.24.

3. Assuming that both tests measure the same kind of ability, who has the higher score?

Due to the higher standardized score, Gerald

Answer:2.5

Step-by-step explanation:

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

\(H = 3x^2y\)

Step-by-step explanation:

Given

\(V = 36x&^6y^8\)

\(L = 4x^3y^5\)

\(W = 3xy^2\)

Required

Find the height of the prism

Volume (V) is calculated as:

\(V =LWH\)

Substitute values for V, L and W

\(36x^6y^8 =4x^3y^5 * 3xy^2 * H\)

Make H the subject

\(H = \frac{36x^6y^8}{4x^3y^5 * 3xy^2}\)

\(H = \frac{36x^6y^8}{4*3x^3*x*y^5y^2}\)

\(H = \frac{36x^6y^8}{12x^4*y^7}\)

Divide:

\(H = 3x^{6-4}y^{8-7}\)

\(H = 3x^2y\)

The height of the prism is: \(3x^2y\)

Answer: sure it's c

Step-by-step explanation:

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

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Answer:

-2x/yz

Step-by-step explanation:

You can cancel out terms using division and properties of exponents. x^a/x^b = x^a-b

Answer:

-5

Step-by-step explanation:

(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5

Answer:

208.1

Step-by-step explanation:

Delta math

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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We must determine the voltage's rate of change with regard to time. The voltage changes sinusoidally with time in an AC circuit. the current flow in the circuit is \(3.817\) Amperes.

To calculate the current flow in the circuit, we need to use the formula:

\(I = C x dV/dt\)

Where:

I is the current flow in the circuit (in Amperes)

C is the capacitance of the capacitor (in Farads)

dV/dt is the rate of change of voltage with respect to time (in Volts per second)

First, we need to calculate the rate of change of voltage with respect to time. In an AC circuit, the voltage varies sinusoidally with time. The formula for voltage in an AC circuit is:

\(V = Vm sin(ωt)\)

Where:

Vm is the maximum voltage (in Volts)

ω is the angular frequency (in radians per second)

t is the time (in seconds)

We know that the voltage is 240 V and the frequency is 60 Hz. We can use these values to calculate Vm and ω:

\(Vm = √2 x Vrms = √2 x 240 = 339.4 V\)

\(ω = 2πf = 2π x 60 = 377 rad/s\)

Now, we can calculate \(dV/dt:\)

\(dV/dt = ω Vm cos(ωt)\)

At  \(t = 0\) (i.e. when the voltage is at its maximum), \(cos(ωt) = 1. Therefore, dV/dt = ω Vm = 127,234 V/s.\)

Finally, we can calculate the current flow:

\(I = C x dV/dt = 30 x 10^-6 F x 127,234 V/s = 3.817 A\)

Therefore, the current flow in the circuit is 3.817 Amperes.

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Answer:

V

Step-by-step explanation:

The centroid of a triangle is the point where 3 lines meet, the 3 lines are ones going from the middle of a side to the opposite corner of a triangle. You can look up "centroid" on a search engine to gain a clearer picture. Hope this helps friend.

Answer: The answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A. 24

B. I don't think you can make any since you can't repeat numbers and there is only two even numbers

Also, if you use all six numbers, it's 120 combos

AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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Answer:

A) To find the probability that less than 2 people out of a random sample of 300 will be diagnosed with the rare virus, we can use the binomial distribution.

Let X be the number of people in the sample diagnosed with the virus. Then, X follows a binomial distribution with n = 300 and p = 0.005, since each person in the sample has a 0.5% chance of being diagnosed with the virus. We want to find P(X < 2).

Using a binomial probability table or calculator, we find:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9722

Therefore, the probability that less than 2 people out of a random sample of 300 will be diagnosed with the rare virus this year is approximately 0.9722 or 97.22%.

B) To determine whether 15 positive cases out of a sample of 300 residents in a small town located beside a medical military research facility is rare or normal, we need to compare this result to what we would expect by chance alone.

In a random sample of 300 Americans, we would expect 300 x 0.005 = 1.5 people to be diagnosed with the virus on average. The standard deviation of a binomial distribution is sqrt(np(1-p)), which for this case is sqrt(300 x 0.005 x 0.995) = 1.09.

We can use a normal approximation to the binomial distribution to calculate the probability of observing 15 or more positive cases in the sample:

Z = (15 - 1.5) / 1.09 ≈ 12.39

Using a standard normal distribution table or calculator, we find that P(Z > 12.39) is extremely small, close to zero.

Therefore, observing 15 or more positive cases in a sample of 300 is extremely rare and unlikely to occur by chance alone. It is possible that the medical military research facility located beside the town is the source of the virus, or that there is another explanation for the high number of cases in the town. Further investigation would be needed to determine the cause.

Answer:

\(x^2 + 4x -30 = -3x\\x^2 + 4x +3x -30 = 0\\x^2 + 7x -30 = 0\\x^2 +10x -3x -30 = 0\\x(x+10) -3(x+10)\\(x-3)(x+10) = 0\\x = 3, -10\)

Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:

13, 19, 7

25, 12, 13

18, 2, 24

The set of side measurements 3, 1, 5 could not form a triangle.

To determine which set of side measurements could form a triangle, we need to check if the sum of the lengths of the two shorter sides is greater than the length of the longest side. This is known as the Triangle Inequality Theorem.

Let's check each set of side measurements:

13, 19, 7:

The sum of the two shorter sides is 7 + 13 = 20, which is greater than the longest side (19). Therefore, this set of side measurements could form a triangle.

25, 12, 13:

The sum of the two shorter sides is 12 + 13 = 25, which is equal to the longest side (25). Therefore, this set of side measurements could form a triangle.

18, 2, 24:

The sum of the two shorter sides is 2 + 18 = 20, which is greater than the longest side (24). Therefore, this set of side measurements could form a triangle.

3, 1, 5:

The sum of the two shorter sides is 1 + 3 = 4, which is less than the longest side (5). Therefore, this set of side measurements could not form a triangle.

Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:

13, 19, 7

25, 12, 13

18, 2, 24

The set of side measurements 3, 1, 5 could not form a triangle.

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The equivalent expression of -14 - 6 is -14 - (+6)

Equivalent expressions are expressions that have the same value when evaluated

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

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Answer:

Undefined

Step-by-step explanation:

I did the quiz.

Answer:

I hope this helps.

Step-by-step explanation:

Answer:

One difference between the graph of y = nx^2 and y = nx^3 is that the graph of y = nx^3 is steeper than the graph of y = nx^2 near the origin. This is because the power of x is one greater in the equation y = nx^3 than it is in the equation y = nx^2, which means that the rate of change of y with respect to x is increasing more rapidly in the former. As a result, the curve of y = nx^3 will be more curved and will have a steeper slope at the origin than the curve of y = nx^2.

Another difference is that the graph of y = nx^3 will have both positive and negative values for x and y, whereas the graph of y = nx^2 will only have positive values of y for positive values of x. This is because the exponent of x in y = nx^3 is odd, which means that the graph will pass through the origin and change signs as it crosses the x-axis. On the other hand, the exponent of x in y = nx^2 is even, so the graph will only have positive values for y when x is positive.

Step-by-step explanation:

The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

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Answer:

The answer is 11,337,408

Step-by-step explanation:

6^2 = 36, 3^2 = 9, 3^3 = 27, and 6^4 = 1296.

when you multiply them all together, you get 11,337,408.

To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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