Please please please help

Answer:

-6

Step-by-step explanation:

We use PEMDAS to solve this,

so P stands for parentheses, so that's where we start.

We first, square the innermost parentheses with the exponent which is the E in PEMDAS, then then the outer parentheses

-12/3*(-8+16-6)+2

-12/3*(2)+2

Now we divide as in Division in PEMDAS.

-4*2+2

Now we multiply as in Multiplication in PEMDAS.

-8+2

Now we add as in A for Addition

-6

In PEMDAS, Multiplication doesn't always come before division, and same for addition and subtraction.

Two reasons that multiple regression designs cannot completely establish causation are: 1) correlation does not imply causation, and 2) the presence of confounding variables.

1) Correlation does not imply causation: Multiple regression designs can help identify correlations between variables, but correlation alone does not prove causation. There could be other factors at play, or the observed relationship could be due to chance.

2) Presence of confounding variables: Confounding variables are variables that affect both the independent and dependent variables, leading to a spurious association. In multiple regression designs, it is possible that not all confounding variables are accounted for, which can lead to inaccurate conclusions about the causal relationship between variables.

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The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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As a result, the two phrases are logically equal. The two formulations are not logically identical, as we can see. The two formulations are not logically identical, as we can see.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms.

Here,

(a) The first statement can be expressed as:

(~j -> (l v ~r))

The second statement can be expressed as:

((r ^ ~l) -> j)

To determine whether the two expressions are logically equivalent, we can use truth tables. A truth table is a method for checking the validity of logical equivalences by comparing the truth values of the two expressions for all possible combinations of inputs.

Truth table for (~j -> (l v ~r)) and ((r ^ ~l) -> j):

j l r (~j -> (l v ~r)) ((r ^ ~l) -> j)

T T T T T

T T F T T

T F T F F

T F F T T

F T T T T

F T F T T

F F T T T

F F F T T

Since both expressions have the same truth values for all possible combinations of inputs, we can conclude that the two expressions are logically equivalent.

(b) The first statement can be expressed as:

(j -> ~l)

The second statement can be expressed as:

(~j -> l)

Truth table for (j -> ~l) and (~j -> l):

j l (j -> ~l) (~j -> l)

T T T F

T F T T

F T T T

F F T T

Since the expressions have different truth values for some combinations of inputs, we can conclude that the two expressions are not logically equivalent.

(c) The first statement can be expressed as:

((r v ~l) -> j)

The second statement can be expressed as:

(j -> (r ^ ~l))

Truth table for ((r v ~l) -> j) and (j -> (r ^ ~l)):

j l r ((r v ~l) -> j) (j -> (r ^ ~l))

T T T T T

T T F T T

T F T T T

T F F T T

F T T T F

F T F T F

F F T T F

F F F T T

Since the expressions have different truth values for some combinations of inputs, we can conclude that the two expressions are not logically equivalent.

We can conclude that the two expressions are logically equivalent. We can conclude that the two expressions are not logically equivalent. We can conclude that the two expressions are not logically equivalent.

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The math professor needs to have approximately $133,769.11 (rounded to the nearest cent) in order to establish the fund.

To determine the amount of money the math professor needs to establish the fund, we can use the formula for continuous compound interest. The formula is given by A = P * e^(rt), where A is the final amount, P is the principal (initial amount), e is Euler's number approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, the professor wants to withdraw $6,000 per month for 30 years, which amounts to $6,000 * 12 * 30 = $2,160,000 in total withdrawals over the 30-year period. We need to find the principal amount P that, when compounded continuously at an interest rate of 8% (or 0.08 as a decimal), will yield $2,160,000 after 30 years.

Using the formula, we can rearrange it to solve for P: P = A / e^(rt). Plugging in the values, we have P = $2,160,000 / e^(0.08 * 30). Evaluating this expression, we find P ≈ $133,769.11 (rounded to the nearest cent).

Therefore, the math professor needs to have approximately $133,769.11 (rounded to the nearest cent) in order to establish the fund.

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Answer:

2. =

5. 5.871 > 5.781

Step-by-step explanation:

2 values are equal

5 first value greater than second value

Answer:

4/5÷7/15=  1  5/7

or

12/7

Step-by-step explanation:

Hope this helped :D

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Answer:

\(1 \frac{5}{7}\)

Step-by-step explanation:

You can simply flip the second fraction and multiply the two fractions together:

\(\frac{4}{5} \div \frac{7}{15}\)

\(\frac{4}{5} \cdot \frac{15}{7}\\\\\\\\\)

\(\frac{4 \cdot 15}{5 \cdot 7}\)

\(\frac{60}{35}\)

This can be simplified by dividing both the numerator and denominator by 5:

\(\frac{60 \div 5}{35 \div 5}\)

\(\frac{12}{7}\)

Which is the mixed number:

\(1 \frac{5}{7}\)

Hope this helps!

Amount of water you should have in a severe weather emergency supply kit is 1 gallon per person per day.

An emergency supply kit is a kit which contains the basic items which would be needed in an emergency situation.

Water is the most essential element which you need in any situations.

Whether in a emergency or general situations, water is really needed.

An emergency supply kit consists of basic things like water, food, first aid kit, etc.

An approximate amount of water needed in a supply kit is 1 gallon per person per day.

Hence 1 gallon per person per day is needed in  a supply kit.

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Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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Answer:

a. ΔABC is an isosceles triangle

b. ΔABC is a right triangle

c. The perimeter of ΔABC is approximately 10.8

Step-by-step explanation:

The given vertices of the polygon, are;

A(1, 4), B(4, 5), C(5, 2)

By observation of the differences of the coordinates of the given points, the points are non-linear, as the rate of increase in the y-values, for a given increase in the x-value, is not constant

The length of segments of the triangle ΔABC are found using the formula for finding the distance, 'd', between points given their coordinates, (x₁, y₁), (x₂, y₂), as follows;

\(d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

The length of segment, \(\overline {AB}\) = √((5 - 4)² + (4 - 1)²) = √10

The length of segment, \(\overline {AC}\) = √((2 - 4)² + (5 - 1)²) = √20

The length of segment, \(\overline {BC}\) = √((2 - 5)² + (5 - 4)² = √10

The length of segment, \(\overline {AB}\) = The length of segment, \(\overline {BC}\), therefore, ΔABC is an isosceles triangle by definition of an isosceles triangle which is a triangle that have two sides of equal length

ΔABC is an isosceles triangle

b. According to Pythagoras' theorem, the sum of the squares of the two shorter sides (the legs) of a right triangle = The square of the length of the longest side

In if triangle ΔABC is a right triangle, we should have;

\(\overline {AB}\)² + \(\overline {BC}\)² = \(\overline {AC}\)²

Checking gives;

(√10)² + (√10)² = 10 + 10 = 20 = (√20)²

Whereby \(\overline {AB}\)² (= (√10)²) + \(\overline {BC}\)² (= (√10)²) = (√20)² = \(\overline {AC}\)², ΔABC is a right triangle

ΔABC is a right triangle

c. The perimeter of ΔABC = The length of segment, \(\overline {AB}\) + The length of segment, \(\overline {AC}\) + The length of segment, \(\overline {BC}\)

∴ The perimeter of ΔABC = √10 + √10 + √20 ≈ 10.7966912753

By rounding off to the nearest tenth, the perimeter of ΔABC ≈ 10.8.

6-3 = 3

3+5 = 8

8 - 1³ = 7

hope it helps you ♥️

Answer:

Newton's second law is the real law of motion and the other two laws can be deduced from 2nd law.

Answer:

    7 13

  283

+  167

--------

116

Step-by-step explanation

Answer:

How to avoid plagiarism are:

1: Keep track of the sources you consult in your research.

2: Paraphrase or quote from your sources (and add your own ideas).

3: Credit the original author in an in-text citation and reference list.

Answer:

Keep track of the sources you consult in your research.  Paraphrase or quote from your sources (and add your own ideas).  Credit the original author in an in-text citation and reference list.  Use a plagiarism checker before you submit. If you insert a source's words into your writing, verbatim, one of the most simple yet obvious ways to avoid plagiarism is by using quotation marks around the text to denote that the words aren't your own. A direct quote should also cite the source so that readers know who the quote is from.

(HOPE IT HELPS YOU. PLS MARK ME AS A BRAINLIEST)

Answer:

Step-by-step explanation:

9000-500h=0+500h

h= 9 hours

9 hours will the silos have the same amount of wheat.

This approach allows us to calculate both the value of many units from the value of one unit and the value of many units from the value of one unit.

Let's first list the data that we currently have. The number of ice creams is 5. It costs $125 for 5 ice creams.

Step 1 :Let's start with finding the price of one ice cream. Divide the entire cost of ice cream by the total number of ice creams to get at that. A single ice cream will cost you 125 divided by the amount of ice creams, or 25 cents. Consequently, 1 ice cream costs $25.

Step 2: To calculate the price of three ice creams, multiply the price of one ice cream by the quantity. Cost of 1 ice cream x number of ice creams = 25 x 3 = $75 is the price of 3 ice creams. The final cost is $75, which is the price of three ice creams.

A 9,000-gallon silo of wheat is being drained at a rate of 500 gallons per hour.

So, every hour after draining = 9000 - 500x

A 7,000-gallon silo of wheat is being filled at a rate of 500 gallons per hour.

So, after every hour after filling = 0 + 500x

Now, number of hours will the silos have the same amount of wheat

9000 - 500x = 0+ 500x

9000 = 1000x

x= 9000/1000

x= 9 hours.

Hence, 9 hours will the silos have the same amount of wheat.

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Answer: either (-5,-0.5)

Step-by-step explanation:

Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

To find the volume of the largest sphere that will fit into a cylindrical container with a volume of 1800cm cubed, we first need to determine the dimensions of the cylinder.

Since the volume of a cylinder is given by V = πr^2h, we can solve for the height of the cylinder:
1800cm^3 = πr^2h
h = 1800cm^3 / (πr^2)
Now, we know that the largest sphere that will fit inside the cylinder will have a diameter equal to the height of the cylinder. This is because the sphere needs to fit snugly inside the cylinder, with its diameter equal to the height of the cylinder.
So, the diameter of the sphere is given by:
d = h = 1800cm^3 / (πr^2)
And the radius of the sphere is half the diameter:
r = d/2 = (1800cm^3 / (πr^2)) / 2
Now, we can find the volume of the sphere using the formula for the volume of a sphere:
V = (4/3)πr^3
Substituting the expression we found for the radius, we get:
V = (4/3)π((1800cm^3 / (πr^2)) / 2)^3
Simplifying this expression gives us:
V = (4/3)π(900cm^3 / r^3)^3
V = (4/3)π(729000000cm^9 / r^9)
Therefore, the volume of the largest sphere that will fit into the cylindrical container with a volume of 1800cm cubed is (4/3)π(729000000cm^9 / r^9).
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Answer:x = 75

Step-by-step explanation:y=105 - 5 = 100 ft

z=125 ft

dz/dt=2 ft/sec

by using Pythagorean Theorem, we find x

x^2 + 100^2 = 125^2

x = 75

Joy should purchase 1 unit of good X and 2 units of good Y if she has $36 of income.

To maximize utility subject to a budget constraint, Joy should allocate her entire budget in such a way that the marginal utility per dollar spent on each good is equal. This means that:

MUx/Px = MUy/Py

Substituting the given values gives:

50/10 = 40/8

Simplifying this expression gives:

MUx/PUx = MUy/PUy = 5

This means that for every $1 Joy spends on either good X or good Y, she gets 5 units of marginal utility.

Now, we need to determine how many units of goods X and Y Joy should purchase with her budget of $36. Let X be the number of units of good X and Y be the number of units of good Y.

The budget constraint is:

PxX + PyY = I

Substituting the given values gives:

10X + 8Y = 36

We want to maximize Joy's total utility, which is given by:

TU = MUxX + MUyY

Substituting the given values gives:

TU = 50X + 40Y

We can use the budget constraint to solve for one of the variables (in terms of the other) and substitute into the utility function to get a function of one variable only. For example, we can solve for Y in terms of X:

8Y = 36 - 10X

Y = (4.5 - 1.25X)

Substituting this expression for Y into the utility function gives:

TU = 50X + 40(4.5 - 1.25X)

Simplifying this expression gives:

TU = -10X + 220

To maximize TU, we take the derivative with respect to X and set it equal to zero:

d(TU)/d(X) = -10 = 0

Solving for X gives:

X = 1

Substituting this value of X into the budget constraint gives:

10(1) + 8Y = 36

Solving for Y gives:

Y = 2

Therefore, Joy should purchase 1 unit of good X and 2 units of good Y if she has $36 of income.

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The range and domain of the given graph are respectively;

-∞ ≤ x ≤ ∞

-4 ≤ y ≤ ∞

Domain is defined as the set of all possible input values for which the function is possible.

Range is defined as the set of all possible output values for which the function is true for the input values.

From the graph, we see that the horizontal asymptote is at y = -4 and as such this will be the least value of the range.

We can also see that the curve is still continuous in the positive axis for y-values and so the y-values are greater than 6. Thus;

The domain is; -4 ≤ y ≤ ∞

The range from the graph is seen as x continues increasing both in the positive and negative axis region and as such the range is expressed as;

-∞ ≤ x ≤ ∞

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Answer:

The Larger bag contains more trail mix. Why because the larger bag has 10 more ounces than the smaller bag.

Answer:

7:4

Step-by-step explanation:

70 / 2 : 40 / 2

35:20

35 / 5 : 20 / 5

7:4

Answer:

Step-by-step explanation:

25%

the numbers after the decimal formes a percent

0.x

x = x_%

Answer:

25%

Step-by-step explanation:

25 x 100 you move the decimal point two places to the right.

So you end up with 25%

I really hope this helps.

Answer: 12.263 sqm

Step-by-step explanation:

1 square meter = 10.7639 square feet

132 square feet in meters would therefore be;

1 sqm : 10.7639 sqf

x sqm: 132 sqf

10.7639x sqm = 132sqf

x sqm = 132 / 10.7639

= 12.263 sqm

Here's a complete diagram of a normal distribution using the provided information:

 +3         +2         +1         0         -1         -2         -3

0.1%      2.1%     13.6%    34.1%   34.1%    13.6%     2.1%     0.1%

A normal distribution is a probability distribution that is symmetric around the mean and has a bell-shaped curve. In a normal distribution, the majority of the data falls close to the mean, with fewer and fewer data points further away from the mean. The mean, median, and mode are all the same in a normal distribution, and the shape of the curve is determined by the mean and the standard deviation.

Here,

The normal distribution is a bell-shaped curve that is symmetric around the mean. The mean is at the center of the distribution (0 in this case) and the standard deviation determines the spread of the curve. The numbers on the x-axis represent the number of standard deviations away from the mean. The percentages represent the proportion of the total area under the curve that falls within each range of standard deviations.

For example, approximately 34.1% of the area under the curve falls within one standard deviation above or below the mean, and another 34.1% falls within two standard deviations above or below the mean. The area between two and three standard deviations above or below the mean is 13.6%. The area to the right of three standard deviations above the mean is approximately 0.1%.

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Answer: 1 in 2 chance

Step-by-step explanation: