Jason Pawloski is married and claims 2 allowances. How much is withheld from his weekly paycheck of $550 for the last week of December for social security and Medicare taxes?

Step-by-step explanation:

always try to bring fractions you need to compare to the same denominator (bottom number).

we have 9/10 of the pizza left.

then 4/5 if the pizza are eaten.

how to compare 9/10 with 4/5 ?

by bringing 4/5 also to a fraction of 10ths.

what do I need to multiply 5 with to get 10 ?

right, 2.

since we don't want to change the overall value of the original fraction, we need to multiply both levels (numerator and denominator) by that same factor :

4/5 × 2/2 = 8/10

aha !

that we can compare with 9/10.

so, when Lucas ate 4/5 (= 8/10) of the pizza, when there was originally 9/10 left, then we have 1/10 of the pizza left.

Answer:

nothing

Step-by-step explanation:

Zero is a number without a value so nothing could be another word for it

The probability that the amoeba population will die out is 0.6069.

The amoeba population will die out with the probability of 60.69%

We know that the amoeba can die, stay the same, split into two or split into three with equal probability.

Now, we can analyze all the four cases where amoeba can die out, stay the same, split into two or split into three and find the probability for each case.1.

If the amoeba dies, the population will die out.

Therefore, the probability is P(die) = 1/4.2.

If the amoeba does not die and stays the same, the probability that the population will eventually die out is the same as that of the starting amoeba.

Therefore, P(same) = P(die-out)3. If the amoeba splits into two, there will be two amoebas, both of which will eventually die out with probability P(die-out) independently.

Therefore, P(split-into-two) = P(die-out) * P(die-out)

                                             = P(die-out)2.4. If the amoeba splits into three, there will be three amoebas.

Each of these will eventually die out independently with probability P(die-out).

Therefore, P(split-into-three) = P(die-out) * P(die-out) * P(die-out)

                                               = P(die-out)3. Now, let's look at the probability of amoeba population will die out.

In other words, the probability of the amoeba population to go extinct can be represented as

P(die-out) = P(die) + P(same) * P(die-out) + P(split-into-two) + P(split-into-three)

Therefore, P(die-out) = 1/4 + P(die-out) * (1/4) + (P(die-out))^2 + (P(die-out))^3

Let's solve this equation now.

We will bring all the terms containing P(die-out) to the left-hand side and all the other terms to the right-hand side.

Then, we can solve the resulting equation as a cubic equation.

P(die-out)^3 + (1/4 + 1/4)*P(die-out)^2 + (1/4)*(1/4)*P(die-out) - (1/4) = 0

This cubic equation has one root between 0 and 1.

We can solve this equation numerically or use the following formula to obtain an approximate solution to the root:

P(die-out) ≈ 0.6069

The amoeba population will die out with the probability of 60.69%

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Answer:

the option 3 says that the volume of box is true.as volume of box is calculated by (v)= l×b×h

Answer:

Step-by-step explanation:

Volume is a cubic measure. That means that the label you get for volume is the length cubed. For example, if the sides of that box were meaured in inches, your label would be in inches cubed. To get a length cubed, you would multiply. If each of the length, width, and height all measured x, then our volume expression would be x*x*x which is x-cubed.

That should tell you that to find the volume of the box shown, you have to multiply the length, width, and height together. The option you want is C. The word "product" means to multiply, in case that was an issue with determining the correct answer.

4 bracelets and 3 Necklaces are made by the Jeweler.

Two or more expressions with an Equal sign is called as Equation.

Let us represent Bracelet as B and Necklace as N

B+N=7..(1)

7B+18N=82..(2)

From equation 1,

B=7-N

Now plug in B value in equation 2

7(7-N)+18N=82

49-7N+18N=82

49+11N=82

Subtract 49 on both sides

11N=33

N=3

Now we have to find B

B+N=7

B+3=7

Subtract 3 on both sides

B=4

Hence, 4 bracelets and 3 Necklaces are made by the Jeweler.

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Answer:

The secant function is undefined for angles where the cosine function equals zero, because dividing by zero is undefined. Therefore, we need to find the values of Θ where cos Θ = 0.

The cosine function equals zero at 90° and 270° (or π/2 and 3π/2 in radians), so we have:

cos 90° = 0, cos 270° = 0

Therefore, the angles that satisfy sec Θ = undefined are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer (positive, negative, or zero) that allows us to generate all possible angles in the range 0° ≤ Θ ≤ 360°.

So, the solutions for Θ are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer.

Step-by-step explanation:

Answer:

d = 13

Step-by-step explanation:

First, the distance formula is needed:

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

Next we assign the points

(2,-4) is point 1, (7,8) is point 2

\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)

Given two points (2,-4) and (7,8)

To find - The distance between given points.

We know the formula that is used to find the distance is given as

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We let P = (2,-4)

and Q = (7,8)

\(x_1=2, y_1=-4\\x_2=7,y_2=8\)

on substituting we get

\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)

Hence we get the distance between (2,-4) and (7,8) is 13.

Final answer - The distance is 13.

Answer:

3x^2 ( x+5)

Step-by-step explanation:

1/x^2  + 1/( 3x^2 +15x)

Factor the denominators

x^2 = x*x

3x^2 +15x = 3 *x( x+5)

The common denominator is

x* 3x* (x+5)

3x^2 ( x+5)

Answer:

Hey!

Your answer is 5.96!

Step-by-step explanation:

5 + 0.9 = 5.9

IF WE ADD 0.06...it makes 5.96

(the 6 is in the hundredth column so it goes AFTER the 9)

This fives us 5.96!

The solution to the simultaneous equation is y = 5.5 and x = 1.5

Simultaneous equations are the types of equations in mathematics that is made up of two equations where the equations would have to share variables.

we have

y = 3x + 1 - - - - 1

x + y = 7 - - - - 2

we have to put the value of y in equation 1 into equation 2

we would have

x + 3x + 1 = 7

4x + 1 = 7

4x = 7 - 1

4x = 6

x = 6 / 4

x = 1.5

put the value of x in equation 2 to get y

1. 5 + y = 7

y = 7 - 1.5

y = 5.5

Therefore the values of y is 5.5 while the value of x is 1.5

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The required solution of the given simultaneous equation is x = 1.5 and y = 5.5.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
y = 3x + 1    _ _ _ _ _ _ (1)
x + y = 7      _ _ _ _ _ _ (2)
From equation 2
y = 7  - x substitute this in equation 1
7 - x = 3x + 1
4x = 6
x = 6 / 4
x = 3 / 2
Now put this x in equation 2
3/2 + y = 7
y = 7 - 3/2
y = 11 / 2

Thus, the required solution of the given simultaneous equation is x = 1.5 and y = 5.5.

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1 standard deviation =  8 inches. the answer is OPTION E

We know that 99.7% of American men have heights between 5'0" and 7'0". Since height is normally distributed, we can use the empirical rule to estimate the standard deviation.

According to the empirical rule, 99.7% of the data falls within 3 standard deviations of the mean. Therefore, we can say that the range of heights from 5'0" to 7'0" is 3 standard deviations.

We can use this information to estimate the standard deviation as follows:

Range of heights = 7'0" - 5'0" = 2 feet

3 standard deviations = 2 feet

1 standard deviation = 2/3 feet

1 foot = 12 inches

Therefore, 1 standard deviation = 2/3 * 12 inches = 8 inches

So, our estimate of the standard deviation of the height of American men is 8 inches. Therefore, the answer is OPTION E in the given options.

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Complete question

If the heights of 99.7% of American men are between 5'0"

and 7'0", what is your estimate of the standard deviation of

the height of American men? (Assume the heights of

American Men are Normally Distributed).

A.) 1"

B.) 2"

C.) 4"

D.) 6"

E.) 8"

Answer:

picture #1 - 50.27 square units

picture #2 - 113.10 square units

picture #3 - 380.13 square units

Step-by-step explanation:

picture #1 - area = πr^2 -> π*4^2 = 50.27 square units

picture #2 - area = πr^2 -> π*6^2 = 113.10

picture #3 - area = πr^2 -> π*11^2 = 380.13

Answer: 17.4 cm

Step-by-step explanation: All you have to do is add all of the sides together.

So 8.5+8.5+0.2+0.2

=17+0.4

=17.4 cm

Answer:

17.4 cm

Step-by-step explanation:

A rectangle has two sets of parallel, equal sides. So that means two of the sides are equal to 8.5cm and the other two sides are equal to 0.2cm. When you put that in an equation:

8.5 + 8.5 + 0.2 + 0.2 = 17.4

Hope this helps :)

Answer:

ur screwed but the answer is 110.88

Step-by-step explanation:

:)

Answer:

5

Step-by-step explanation:

The highest order is x^5

Answer:

30 more

Step-by-step explanation:

hope it helps friend.

Answer:

a vertical angle to LKH is a 45° angle

No, Rolle's Theorem cannot be applied to the function f(x) = 4 - x^2/x^2 on the closed interval [-5, 5].

Rolle's Theorem states that if a function is continuous on a closed interval [a, b], differentiable on the open interval (a, b), and f(a) = f(b), then there exists at least one point c in the open interval (a, b) such that f'(c) = 0.

In this case, the function f(x) = 4 - x^2/x^2 is not continuous at x = 0 because it has a removable discontinuity at that point. The function is undefined at x = 0, which means it is not continuous on the closed interval [-5, 5]. Therefore, Rolle's Theorem cannot be applied.

Additionally, even if the function were continuous on the closed interval, it is not differentiable at x = 0. The derivative of f(x) is not defined at x = 0, as there is a vertical tangent at that point. Therefore, the condition of differentiability in the open interval (a, b) is not satisfied.

In summary, since the function is not continuous on the closed interval [-5, 5] and not differentiable in the open interval (a, b), Rolle's Theorem cannot be applied to this function.

Therefore, there are no values of c in the open interval (a, b) such that f'(c) = 0.

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The value of the cosine of ∠L in triangle LMN is approximately 0.98 using Pythagorean Theorem.

To find the cosine of ∠L in triangle LMN, we first need to use the Pythagorean theorem to find the length of side LM, since only have the lengths of NM and LN:

\(LM^2 = LN^2 - NM^2\\LM^2 = 40^2 - 9^2\\LM^2 = 1521\)

\(LM = \sqrt{1521}\)

LM = 39

Now that we know the length of all three sides of the triangle, we can use the cosine rule to find the cosine of ∠L:

cos(L) = \((LM^2 + LN^2 - NM^2)\) / (2 x LM x LN)

cos(L) = \((39^2 + 40^2 - 9^2)\) / (2 x 39 x 40)

cos(L) = 0.975

Rounding to nearest hundredth:

cos(L) = 0.98

Therefore, the value of cosine of ∠L in triangle LMN is approximately 0.98.

The ratio of the neighbouring side to the hypotenuse is known as the cosine of an angle in a right triangle. As L is not a straight angle in this situation, its value must be determined using the cosine method. Whether a triangle is a right triangle or not, the cosine rule can be used to relate the lengths of its sides and angles.

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The function that represents the given equation is:

f(x) = 3x + 8

The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.

Adding 12x to both sides, we get 4y = 12x + 32.

To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.

Hence, the function that expresses y as a function of x is:

f(x) = 3x + 8.

Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.

In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.

Therefore, the function that represents the given equation is:

f(x) = 3x + 8

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The potential letter grades are A, A-, B+, B, or B-, assuming a score of 73 or higher on the final exam.

The potential answers are:

A, A-, B+, B, or B-

It is important to note that these are just the potential answers. I could still earn a lower grade on the final exam, in which case my final letter grade would be lower.

However, based on my current performance in the class, I believe that I have a good chance of earning a grade of A, A-, B+, B, or B- on the final exam.

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Answer:

2/3 x + 3 = 5

Step-by-step explanation:

I did this in math already, here you go. Hope it helps

Answer:

I believe the correct answer would be C.

Step-by-step explanation:

Have a great day! :)

y = (-1/2)x + 4 is the equation for the linear function with an x-intercept of 8 and a y-intercept of 4.

We are aware that lines might have several kinds of equations; the typical form is

The equation of a line in slope-intercept form is Ax + By + c = 0, and

y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

Given, An x-intercept for a linear function is 8, and a y-intercept is 4.

The two points on the line are therefore (8, 0) and (0, 4).

Slope(m) is now equal to (4 - 0)/(0 - 8).

m slope = 4/8.

slope(m) equals -1/2.

With a y-intercept of 4, it represents the value of b in the equation y = mx + b.

Consequently, the equation is y = (-1/2)x + 4 is linear.

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Answer:

Step-by-step explanation:

\(2x=6\)

Divide both sides by 2

\(\frac{2x}{2} =\frac{6}{2} \\\\Simplify\\\\x =3\)