Which statement include two quantities in the real world that are additive inverses Noa hiked 2 mi up a mountain trail and then hiked 2 mi down a trail A lithium ion has 3 positively charged protons and 2 negatively charged electrons A hot air balloon ascended 2000 ft from the ground and then descends Daniella overdraws her account by $70 and then deposits $100 in the account

Answer:

3375 cubic inches & 121.5 ( rounding to 122)

Step-by-step explanation:

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

23 lies between the two perfect squares 16 and 25 which are the squares of 4 and 5 respectively.

The value of √23 lies between 4 and 5.

What in mathematics is a perfect square?

Informally: A square number, perfect square, or simply "a square" is the result of multiplying an integer (a "whole" number), positive, negative, or zero, times itself. Therefore, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on are all square numbers.

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The average weight of a random sample of 50 NFL players is 244.4 pounds.

An equation shows the relationship between two or more numbers and variables.

For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.

Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:

Mean = mean = 244.4 pounds

The average weight is 244.4 pounds.

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The values of the trigonometric functions ;

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

Given cos (theta) = -5/6, and tan (theta) < 0, we can find sin(theta), cos(theta), tan(theta), csc(theta), and sec(theta).

First, we can use the fact that cot(theta) = cos(theta)/sin(theta) to find sin(theta) and cos(theta).

Next, we can use the fact that sin(theta) = cos(theta) to find the values of

Since cos (theta) = 15, we can write it as cos (theta) = adjacent/opposite, where adjacent = 15 and opposite = 1 (since cotangent is the reciprocal of tangent).

Using the Pythagorean theorem, we can find the hypotenuse:

adjacent= √(hypotenuse ² + opposite²) = √(6² - 5²) = √11

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

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Answer:

B- y=-3

Step-by-step explanation:

db/dt = 40/12 = 10/3 Feet per second, or approximately 3.33 feet per second. So the foot of the ladder is being pulled away from the wall at a rate of about 3.33 feet per second when it is 8 feet away from the wall and the top of the ladder is sliding down at 4 feet per second.

We can use the Pythagorean theorem to relate the length of the ladder, the distance of its foot from the wall, and the height it reaches on the wall:

\(a^2 + b^2 = c^2\)

where c is the length of the ladder, a is the distance of its foot from the wall, and b is the height it reaches on the wall. Differentiating with respect to time, we get:

2a da/dt + 2b db/dt = 2c dc/dt

We are interested in finding db/dt when a = 8 feet and dc/dt = -4 feet per second (negative because the top of the ladder is sliding down). We also know that c = 10 feet, so we can plug in these values and solve for db/dt:

2(8) da/dt + 2b db/dt = 2(10) (-4)

Simplifying:

16 da/dt + b db/dt = -40

We also know that when a = 8 feet and b = 6 feet (from the Pythagorean theorem), the ladder is at a height of 6 feet on the wall. Therefore, we can plug in these values and solve for da/dt:

8 da/dt + 6 db/dt = 0

Simplifying:

da/dt = -(3/4) db/dt

Now we can substitute this expression for da/dt in the first equation, and solve for db/dt:

2(8) (-(3/4) db/dt) + 2(6) db/dt = -40

Simplifying:

-12 db/dt = -40

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Answer:

see explanation

Step-by-step explanation:

1

4x = 3x + 5 ( subtract 3x from both sides )

x = 5

2

7m = 8 + 5m ( subtract 5m from both sides )

2m = 8 ( divide both sides by 2 )

m = 4

3

2a = 9 - a ( add a to both sides )

3a = 9 ( divide both sides by 3 )

a = 3

4

\(\frac{1}{4}\) d = 3 ( multiply both sides by 4 to clear the fraction )

d = 3 × 4 = 12

5

5y + 6 = 21 ( subtract 6 from both sides )

5y = 15 ( divide both sides by 5 )

y = 3

6

2n - 3 = 6 ( add 3 to both sides )

2n = 9 ( divide both sides by 2 )

n = 4.5

Answer:

Step-by-step explanation:

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The least scores Juan could have had in the two tests are 85 and 100

Let the test scores be x and y

Where x is the current test and y is the previous test

Using the interpretation of the parameters in the question, we have the following:

x = y + 15 --- the relationship between the test scores

The average test scores can be represented as

1/2(x + y) ≥ 92

Substitute x = y + 15 in 1/2(x + y) ≥ 92

1/2(y + 15 + y) ≥ 92

Evaluate the like terms

1/2(2y + 15) ≥ 92

So, we have

2y + 15 ≥ 184

This gives

2y ≥ 169

Divide by 2

y ≥ 84.5

From the question both numbers are integers

So, we can assume that y = 85

Substitute y = 85 in x = y + 15

x = 85 + 15

Evaluate

x = 100

Hence, the possible test scores are 85 and 100

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Answer: - 84/3

Step-by-step explanation: hope this helps!

Answer:

-83/4

Step-by-step explanation:

Cause

Answer:

1oz =29.5735ml

Step-by-step explanation:

Multiply your fluid ounces number by 29.5735 to convert US fluid ounces to millilitres. Multiply your number by 28.4131 if you're using British Imperial fluid ounces as your unit of measurement. The British Imperial ounce is somewhat smaller than the US fluid ounce.

Even though one fluid ounce is slightly less than 29 millilitres, the numbers on nutrition labels are rounded up to 30. In the US, a fluid ounce is a unit of volume. Both fl oz and fluid ounces are acceptable abbreviations for fluid ounces.

The ratio of 1 fluid ounce to 29.57353193 millilitres is known as the ounce-to-millilitre conversion factor.

An ounce is a unit of weight that is equal to 480 grains, or 1/12 pound, in the troy and apothecaries' systems and 1/16 pound (437 1/2 grains) in the avoirdupois system.

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Answer: there are 118 dimes in the jar.

Step-by-step explanation: Let's use a system of equations to solve the problem:

Let d be the number of dimes and n be the number of nickels.

We know that:

d + n = 250 (Equation 1) (The total number of coins is 250)

0.1d + 0.05n = 18.4 (Equation 2) (The total value of all coins is $18.4)

To solve for d, we need to eliminate n from the equations above. We can do this by multiplying Equation 1 by -0.05 and adding it to Equation 2:

-0.05d - 0.05n = -12.5

0.1d + 0.05n = 18.4

0.05d = 5.9

Dividing both sides by 0.05, we get:

d = 118

Therefore, there are 118 dimes in the jar.

Answer:

The estimated solution is N = 12.

Step-by-step explanation:

1) Round the equation to \(N - 6 = 6\).

2) Get the N on one side, and the values on the other side. To do this, add 6 to both sides. You end up with \(N = 12\).

3) N = 12 is therefore the answer.

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Answer:

Yes

Step-by-step explanation:

4(1)-3(3)=-5

4-9=-5

-5=-5

The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= 3.1 + (-6.3)

To find the absolute value of 3.1 + (-6.3):

= |3.1 + (-6.3)|

= |3.1 - 6.3|

= |-3.2|

= 3.2

Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

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Answer:

2nd box 2/5y and -0.2y

last box -6 and -2

Step-by-step explanation:

Answer:

t = {(v - s) + ab} / a

Step-by-step explanation:

a = (v - s) / (t - b)

Make t the subject of the equation

a = (v - s) / (t - b)

Cross product

a * (t - b) = (v - s)

at - ab = (v - s)

Add ab to both sides

at = (v - s) + ab

t = {(v - s) + ab} / a

Answer:

i believe so

Step-by-step explanation:

%volume

\(\tt ml\:acid=15.5\%\times 331\:ml=51.305\:ml\\\\round~to~the~nearest~tenth=51.3~ml\)

Answer:

The difference of 0.5 is not significant because the re-randomizations show that it is within the range of what could happen by chance.

Step-by-step explanation:

For the means which are given as 5.375 and 4.875 respectively, for a difference of 0.5.

The best conclusion for Jorge to make based on the data is that - The difference of 0.5 is not significant because the re-randomizations show that it is within the range of what could happen by chance

the series is convergent from x = -1 (left end) to x = 1 (right end).

To find the interval of convergence for the power series ∑n=1 to infinity of \(n^{(1/3)} * x^n\), we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. Mathematically, the ratio test can be expressed as:

lim┬(n→∞)⁡〖|(\(a_{(n+1)}/a_n)\)|〗 < 1

Let's apply the ratio test to the given series:

\(a_n = n^{(1/3)} * x^n\)

\(a_{(n+1)} = (n+1)^{(1/3)} * x^{(n+1)}\)

Taking the ratio of consecutive terms:

|a_(n+1)/a_n| = |((n+1)^(1/3) * x^(n+1)) / (n^(1/3) * x^n)|

Simplifying the expression:

\(|a_{(n+1)}/a_n| = |(n+1)^{(1/3)} * x / n^{(1/3)}|\)

Taking the limit as n approaches infinity:

lim┬(n→∞)⁡〖\(|(a_{(n+1)}/a_n)\)|〗 = lim┬(n→∞)⁡〖|\((n+1)^{(1/3)} * x / n^{(1/3)}|\)〗

Using the properties of limits, we can simplify the expression further:

lim┬(n→∞)⁡〖|(a_(n+1)/a_n)|〗 = lim┬(n→∞)⁡〖\(|(1 + 1/n)^{(1/3)} * x|\)〗

= 1 * |x|

= |x|

We know that |x| < 1 for convergence. Therefore, the interval of convergence for the given power series is -1 < x < 1.

To determine the left endpoint of the interval of convergence, we substitute x = -1 into the series:

∑n=1 to infinity of \(n^{(1/3)} * (-1)^n\)

This is an alternating series. When n is odd, the terms of the series will be positive, and when n is even, the terms will be negative. The series converges by the Alternating Series Test.

the left endpoint of the interval of convergence is x = -1.

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Answer:

Hey there

It is 60466176

Answer:

60,466,176

Step-by-step explanation:

6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6

The equations which show direct proportion between a and b are:

a=2b and a=b/2.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.

Example: x and y are two quantities or variables which are linked with each other directly, then we can say x ∝ y. When we remove the proportionality symbol, the ratio of x and y becomes equal to a constant, such as x/y = C, where C is a constant.

Given, two variables a and b

If two variables a and b are in direct proportion

then,

a/b = constant.

1. a = b²

a/b = b

which is not constant

⇒ a is not in direct proportion with b.

2. a = 2b

a/b = 2

which is constant

⇒a is in direct proportion with b.

3. a = b/2

a/b = 1/2

which is constant

⇒ a is in direct proportion with b.

4. a=b+2

a/b = 1+2/b

which is not constant

⇒ a is not in direct proportion with b.

5. a = 2/b

ab = 2

⇒a is inversely proportional to b.

Hence, In equation a=2b and a=b/2, a is directly proportional to b.

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Check the picture below.

so, let's get the volume of the prism.

then let's get the volume of the smaller cube.

then let's see how many times the volume of the cube goes into the prism's volume, so in short a division.

\(\stackrel{\textit{prism's volume}}{\left( \frac{5}{2} \right)(2)(1)\implies 5~cm^3}~\hfill \stackrel{\textit{cube's volume}}{\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\implies \frac{1}{8}~cm^3} \\\\[-0.35em] ~\dotfill\\\\ 5\div \cfrac{1}{8}\implies \cfrac{5}{1}\div \cfrac{1}{8}\implies \cfrac{5}{1}\cdot \cfrac{8}{1}\implies 40~~cubes\)

Answer:54 is the54 d

Step-by-step explanation:

no sorry

Answer: Hmm

Step-by-step explanation:

The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

Quotients are result derived from the ratio of two rational or integers. Given the expression

21.49 ÷ 3.76

Convert to fraction

21.49 ÷ 3.76 = 2140/100  ÷  376/100
21.49 ÷ 3.76 = 2140/376

21.49 ÷ 3.76 =  5.69

Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

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