Answer for 50 points please

Answer: 8 hours= $128      40 hours= $640

Step-by-step explanation:

$48.00 divided by 3 = $16.00 an hour. so 16x8=128 and 16x40=640

The truth set for each predicate are:

a) d ∈ { -6, -3, -2, -1, 1, 2, 3, 6}

b) d ∈ {  1, 2, 3, 6}

c) x ∈ { [-2, -1] U [1, 2]}

d) x ∈ {-2, -1, 1, 2}

We only need to find the sets of values such that the statements are true.

a)

We want to find vales of d, such that d is an integer, and 6/d is an integer.

Here the possible values of d will be:

d ∈ { -6, -3, -2, -1, 1, 2, 3, 6}

Which are all the factors of 6, so all these integers divide 6.

b) Same as before, but this time the domain is a positive integer, so now the truth set will be:

d ∈ {  1, 2, 3, 6}

c) We want to find real values of x such that:

1 ≤ x² ≤ 4

If we apply the square root to the 3 sides, we get two inequalities:

-√1 ≥ x ≥ -√4

√1 ≤ x ≤ √4

Simplifying:

-1  ≥ x ≥ -2

1  ≤ x ≤ 2

So the truth set is:

x ∈ { [-2, -1] U [1, 2]}

c) Same as before, but now we only have integer solutions, so the truth set is:

x ∈ {-2, -1, 1, 2}

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Answer:

Angle ACB = 44°

There are two ways to solve it. Both are right

Solution number 1

From triangle ABC

angle BAC = 180°-(102° +44°) = 36°

Because BG is parallel with AC

Another solution

The sum of angles in the shape AGBC = 360°

Answer:

[w-v]           b is answer

Step-by-step explanation:

How many more votes the winner received than the loser can be thought of as the distance between the two numbers of votes on the number line.

Hint #22 / 5

The distance between two numbers is equal to the absolute value of their difference.

For example, | a - b|∣a−b∣vertical bar, a, minus, b, vertical bar is the distance between aaa and bbb.

Hint #33 / 5

We want to find the distance between \blue{w}wstart color #6495ed, w, end color #6495ed and \pink{v}vstart color #ff00af, v, end color #ff00af.

Hint #44 / 5

The distance between \blue{w}wstart color #6495ed, w, end color #6495ed and \pink{v}vstart color #ff00af, v, end color #ff00af is |\blue{w} - \pink{v}|∣w−v∣vertical bar, start color #6495ed, w, end color #6495ed, minus, start color #ff00af, v, end color #ff00af, vertical bar or |\pink{v}-\blue{w}|∣v−w∣vertical bar, start color #ff00af, v, end color #ff00af, minus, start color #6495ed, w, end color #6495ed, vertical bar.

Hint #55 / 5

\left\lvert \blue w- \pink v\right\rvert∣w−v∣open vertical bar, start color #6495ed, w, end color #6495ed, minus, start color #ff00af, v, end color #ff00af, close vertical bar always represents how many more votes the winner received than the loser.

The expressions that always represents how many more votes the winner received than the loser will be Choice b .∣w−v∣

Cicero and Themistocles run for the same political office. Cicero received www votes in the election and Themistocles received vvv votes.

This can be thought of as the distance between the two numbers of votes on the number line.

Here, The distance between two numbers is equal to the absolute value of their difference.

For example; | a - b| vertical bar, a, minus, b, vertical bar is the distance between aaa and bbb.

Hence, the expressions that always represents how many more votes the winner received than the loser will be Choice b .∣w−v∣

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Answer:

True

Step-by-step explanation:

∫₀°° f(x) dx = ∫₀¹ f(x) dx + ∫₁°° f(x) dx

We know that ∫₁°° f(x) dx converges, and we know that f(x) is continuous on [0, 1], inclusive.  Therefore, ∫₀¹ f(x) dx converges, so ∫₀°° f(x) dx converges.

2/9

1) Given that the ratio involves the same unit, let's turn that into the same unit

14 days

9 weeks = 9 x 7 = 63 days

2) So we can write the ratio as, and then simplifying it:

3) So the answer is 2/9

Answer:i think it would be 5 but 382

Step-by-step explanation:

The the z-score for given mean and standard deviation is 3.

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Given that, x=273, μ=258 and σ=5

We know that, Z=(x-μ)/σ

Z=standard score, x=observed value, μ=mean of the sample and σ=standard deviation of the sample

Now, Z=(273-258)/5

Z=15/5

Z=3

Therefore, the z-score is 3.

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Answer:

three seconds

It takes three seconds for the ball to hit the ground.

Note: On Earth, it would take a little over nine seconds for the ball to fall back to the ground.

Step-by-step explanation:

The expected values of the raffle ticket for you are given as follows:

For the PTO, the expected values are given as follows:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For you, the distribution is given as follows:

Hence the expected value for one ticket is given as follows:

E(X) = 62/280 - 4 x 279/280

E(X) = -$3.76.

For twelve tickets, the expected value is given as follows:

12 x -3.76 = -$45.12.

For the PTO, we use the inverse signals, as the distribution is the inverse, that is:

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Answer:

H0: μ ≥ 266

H1 : μ < 266

Yes, condition for Ztest have been met.

-1.975

Step-by-step explanation:

Given that:

μ = 266

Sample size, n = 25

Sample mean, x = 259.68

The Null hypothesis, H0: μ ≥ 266

The Alternative hypothesis, H1 : μ < 266

The test statistic, :

(x - μ) ÷ (s/sqrt(n)

(259.68 - 266) ÷ (16/sqrt(25))

−6.32 / 3.2

= - 1.975

Using the Pvalue from Zstatistic calculator :

Pvalue, one tail test at 0.05, Zscore = - 1.975

Pvalue = 0.024134

Since ;

Pvalue < α ; reject Null

0.024 < 0.05 ;

The is significant evidence to support the claim that women who smoke during their pregnancy have shorter pregnancy than general women.

Answer:

Counter Clockwise Torque = 360 Nm

Clockwise Torque = 240 Nm

Step-by-step explanation:

Step-by-step explanation:

Equation of line:

\(y = mx + c\)

where m is the slope

and c is the y-intercept

given the information from the question,

m = 2/3 , c = 9

substituting the values in,

equation of the line is

\(y = \frac{2}{3} x + 9\)

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)

What is elevation?

The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.

In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).

The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).

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Answer:

it's 48

Step-by-step explanation:

you must do 480×10÷100

The simplified expression of log_3+log_5+log_2 32 is 5log_3(20) by properties of logarithms

Using the logarithmic identity that states log (a × b) = log a + log b

we can simplify the expression as follows:

log_3+log_5+log_2 32 = log_3(2⁵) + log_5(2⁵) + log_2(2⁵)

= 5log_3(2) + 5log_5(2) + 5log_2(2)

= 5(log_3(2) + log_5(2) + log_2(2))

using the property that log_b(a) + log_b(c) = log_b(a × c)

= 5(log_3(2 × 5× 2))

= 5(log_3(20))

Therefore, the simplified expression is 5log_3(20).

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Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Meaning of probability :

Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.

The analysis of events governed by probability is called statistics.

According to the given information :

Red section = \(\frac{2}{5}\)

multiply numerator and denominator by \(2\) we get

Red section = \(\frac{4}{10}\)

 Blue section = \(\frac{1}{2}\)

 multiply numerator and denominator by \(5\) we get

 Blue section = \(\frac{5}{10}\)

 Green section = \(1\)- Red section - Blue section

 Green section =\(1-\frac{4}{10} -\frac{5}{10}\)

  Green section = \(\frac{1}{10}\)

Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

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All the primitive proof rules are given below.

A proof is a sequence of lines containing sentences. Each sentence is either an assumption or the result of applying a rule of proof to earlier sentences in the sequence. The primitive rules of proof are stated below.

Given is to check the applicability of the primitive proof rule.

Ampersand Introduction &I :

Given two statements A and B, you may conclude their conjunction.

Ampersand Elimination &E :

Given a statement that is a conjunction, A&B, you may conclude either conjunct.

Wedge Introduction vI :

Given a statement, A, you may conclude any disjunction having A as a disjunct.

Wedge Elimination vE :

Given a statement that is a disjunction, AvB, and another statement that is the denial of one of its disjuncts, you may conclude the other disjunct.

Arrow Introduction →I :

Given a statement, B, you may conclude a conditional having B as the consequent if the antecedent, A, appears in the proof as an assumption, and B is derivable from A.

Arrow Elimination →E :

Given a statement that is a conditional, A→B, and another statement that is its antecedent, A, you may conclude the consequent of the conditional, B.

Double-arrow Introduction ↔I :

Given two conditional statements having the forms A→B and B→A, you may conclude a biconditional

statement with A and B as its constituents.

Double-arrow Elimination ↔E :

Given a statement that is a biconditional, A↔B, you may conclude either A→B or B→A.

Therefore, all the primitive proof rules are given above.

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Step-by-step explanation:

= 700 + 500 + 100 - 300

= 1200 + 100 - 300

= 1300 - 300

= 1000

The value of the y-intercept of the graph of the function h(x) = 12.3(4.9)^x is 12.3.

To determine the value of the y-intercept of the graph of the function\(h(x) = 12.3(4.9)^x,\) we need to find the value of h(0) since the y-intercept corresponds to the point where the graph intersects the y-axis (x = 0).

Substituting x = 0 into the function, we have:

\(h(0) = 12.3(4.9)^0\)

Since any number raised to the power of 0 is equal to 1, we have:

h(0) = 12.3(1)

Multiplying 12.3 by 1 gives us:

h(0) = 12.3

Therefore, the value of the y-intercept of the graph of \(h(x) = 12.3(4.9)^x\) is 12.

The y-intercept represents the value of the function when x = 0, which in this case is 12.3.

It is the point where the graph crosses the y-axis.

This means that when there is no exponential growth or decay (x = 0), the value of the function is 12.3. As x increases or decreases, the function will grow or decay exponentially, but at x = 0, it starts with a value of 12.3.

The graph of this function would start at the point (0, 12.3) and then either increase or decrease exponentially depending on the value of the base (4.9 in this case).

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The amount of cheese which will be required for the dilated bagel as for the original is half and hence is 0.5.

According to the question;

Assume the required cream cheese for the original is 1 unit.

Hence, upon Dilation, the amount of cream cheese required is; 0.5 times the amount used for the original.

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It would take about 2.6 years for the value of the account to reach $5,920, assuming no deposits or withdrawals are made.

We can use the formula for compound interest to solve the problem;

A = \(P(1+r/n)^{(nt)}\)

where;

A is the amount after t years

P is principal (the initial amount invested)

r is annual interest rate (as a decimal)

n is number of times the interest is compounded per year

t is the time in years

In this case, we know that;

P = $4,900

r = 0.03 (3% expressed as a decimal)

n = 12 (interest is compounded monthly)

A = $5,920

We can solve for t by plugging in these values and solving for t;

$5,920 = $4,900\((1+0.03/12)^{12t}\)

Divide both sides by $4,900;

1.20918367347 = \((1+0.03/12)^{12t}\)

Take the natural logarithm of both sides;

ln(1.20918367347) = ln(\((1+0.03/12)^{12t}\))

Use the property of logarithms that allows us to bring the exponent down;

ln(1.20918367347) = 12t ln(1 + 0.03/12)

Divide both sides by 12 ln(1 + 0.03/12)

t = ln(1.20918367347) / (12 ln(1 + 0.03/12))

t ≈ 2.6 years

Therefore, it would take about 2.6 years.

--The given question is incomplete, the complete question is

"Ella invested $4,900 in an account paying an interest rate of 3% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $5,920?​"--

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The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

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Answer:

1,305

Step-by-step explanation:

Based on the information given, the reduction in the percentage of the bag is 62.6%.

From the information, a bag of Halloween-themed gummy bears sells for $4.78 and after Halloween, a bag sells for $1.79.

The percentage decrease will be:

= (4.78 - 1.79) /4.78 × 100

= 2.99/4.78 × 100

= 62.6%

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The perimeter of the rectangle is 62 square units.

The perimeter of a rectangle can be calculated using the formula:

P = 2(L + W)

Where:

L is the length of the rectangle

W is the width of the rectangle

We have:

L = 20 units

W = 11 units

Substituting into the formula:

P = 2(20 + 11)

P = 2(31)

P = 62 square units

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Question in English

What is the perimeter of a rectangle if it is 20 long and 11 wide?

Answer:

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

Given function:

Graph it first (see attached).

Test the graph for symmetry.

We know the odd degree parent function y = x³ has an origin symmetry, whilst even degree functions may have axis symmetry.

The given function is a translation of cubic function 5 units up so the center of symmetry has translated as well. Therefore correct answer is 4.

Answer:

4. no origin symmetry

Step-by-step explanation:

Functions are symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, −b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y &= x^3 + 5\\&\textsf{Replace $y$ for $(-y)$}: \quad &-y &= x^3 + 5\\&\textsf{Simplify}: \quad &y &= -x^3 - 5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the x-axis.

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Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$}: \quad &y&=(-x)^3+5\\&\textsf{Simplify}: \quad &y&=-x^3+5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the y-axis.

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Functions are symmetric with respect to the origin if for every point (a, b) on the graph, there is also a point (-a, -b) on the graph:

To determine if a graph is symmetric with respect to the origin, replace all the x's with (−x) and all the y's with (-y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the origin.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$ and $y$ for $(-y)$}: \quad &(-y)&=(-x)^3+5\\&\textsf{Simplify}: \quad &-y&=-x^3+5\\&&y&=x^3-5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the origin.