Determine the total annual FICA tax for an annual salary of $110,330. Use $106,800 for maximum taxable earningsa.$822.14b.$844.02c.$8,221.39d.$8,440.24
If an object is dropped from a height of 144 feet, the function h(t)=-16t^2 +144 gives the height of the object after t seconds. When will the object hit the ground?
Given the function f(x) = x2 and k = –1, which of the following represents a function opening downward?
A. f(x) + k
B.kf(x)
C. f(x + k)
D. f(kx)
Answer:
kf(x)
Step-by-step explanation:
I got it right.
A jet flies 600 kilometers in 3/4 of an hour.how far can this jet fly n 1/ hour
Which choices listed below indicate that a linear model is not the best fit for a dataset? Choose all that apply.
(3 options)
• Scatterplot shows a strong linear pattern.
• Scatterplot shows a curve pattern.
• Residual plot shows a curve pattern.
• Residual plot shows no pattern.
• Correlation coefficient is close to 1 or –1.
• Coefficient of determination is close to 1 or –
Suppose one bottle of paint can cover 20 tiles. you have 348 tiles. how many bottles of paint do you need to buy to cover all 348 tiles? explain.
To cover 348 tiles when one bottle can cover 20 tiles, you divide 348 by 20 which equals 17.4, and then round up to 18 bottles since you can't buy a fraction of a bottle.
To determine how many bottles of paint are needed to cover 348 tiles when one bottle covers 20 tiles, you should divide the total number of tiles by the number of tiles that can be covered by one bottle. The calculation is as follows:
Divide 348 (the total number of tiles) by 20 (the number of tiles one bottle of paint can cover).
348 \/ 20 = 17.4
Since you can't buy a fraction of a bottle, you would need to round up to the next whole number. Therefore, you need 18 bottles of paint to cover all 348 tiles.
Divide and simplify.
(24a^3)/(35b^2) divided by (16a)/(14b^3)
A. (12a)/(35b)
B. (5a^2b)/(3)
C. (4a^2)/(5b)
D. (3a^2b)/(5)
2cos^2x+3cosx-2=0 ...?
Crystal earns $5.25 per hour mowing lawns. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns. How much does Crystal earn if she works 2 hours and 15 minutes?
Answer:
m(h)= 5.25h; 11.81
11.81 is the answer
Which of the following is a solution to the inequality below?
-6x2 + 20x - 17 > y
A. (0,0)
B. (2,-2)
C. (1,5)
D. (5,2)
compare and contrast the division property of equality and the division property of inequality.a.the two properties are exactly the same.b.the two properties are exactly the same when dividing by a positive number. for the division property of inequality, dividing by a negative number causes the relation symbol to change. dividing both sides of an equation by a negative number does not have an effect on the equal sign.c.the two properties are exactly the same when dividing by a negative number. for the division property of inequality, dividing by a positive number causes the relation symbol to change. dividing both sides of an equation by a positive number does not have an effect on the equal sign.d.the two properties are exactly the same when dividing by a positive number. for the division property of equality, dividing by a negative number causes the equal sign to change. dividing both sides of an inequality by a negative number does not have an effect on the relation symbol.
what object is defined using a directrix and a focus? ...?
Answer:
the answer is a parabola
Given a slope of -6/7 and a y-intercept of -10, write the equation of the line in slope intercept form
For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total number of calories in Sameer’s snack was 56, how many strawberries did he eat?
The number of strawberries Sameer ate is 6.
Given that, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. The total number of calories in Sameer’s snack was 56.
What is a unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, remaining calories=Total number of calories - Number of calories in plum
=56-32=24
Number of strawberries=24/4 =6
Therefore, the number of strawberries Sameer ate is 6.
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Which of the expressions is rational?
Which expression is equivalent to 4√32⋅√2 ?
Factoring the following by using the grouping method and identify one of the factors below: 28xy − 154x + 20y − 110?
A. x − 4
B. 7x + 4
C. 7x − 11
D. 2y − 11
Please explain how you've gotten the answer or explain what I have to do to get the answer. Thanks. ^^
The function T(n) is defined below. Which of the following are equal to T(8)? Check all that apply.
T(n) = 4n - 5
A.
27
B.
37
C.
T(5) + T(3)
D.
T(7) + 4
m<s=30°,mRS(arch)=84 degrees and RU is tangent to the circle at R. Find m<U.
The figure is not drawn to scale.
A) 27°
B) 12°
C) 54°
D) 24°
Answer:
B. [tex]12^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the measure of angle U.
We have been given that measure of angle 's' is 30 degrees, so the measure of arc RT will be 2 times the measure of angle 's' as angle 's' is inscribed angle of arc RT.
[tex]\text{Measure of arc RT}=2\times 30^{\circ}[/tex]
[tex]\text{Measure of arc RT}=60^{\circ}[/tex]
We know that the measure of angle formed by intersecting secant and tangent outside a circle is half the difference of intercepted arcs.
Using Secant-tangent theorem, we can set an equation to find the measure of angle U as:
[tex]m\angle U=\frac{1}{2}\times (\text{Measure of arc RS}-\text{Measure of arc RT})[/tex]
Substituting the given values in above equation we will get,
[tex]m\angle U=\frac{1}{2}\times(84^{\circ}-60^{\circ})[/tex]
[tex]m\angle U=\frac{1}{2}\times(24^{\circ})[/tex]
[tex]m\angle U=12^{\circ}[/tex]
Therefore, the measure of angle U is 12 degrees and option B is the correct choice.
convert to an improper fraction, type your answer with the negative in the numerator.
-11 1/3 =
What is the coefficient of the term of degree 1 in the polynomial below?
4x2 + 3x9 - 6x3 + 5x - 8
A. -6
B. 4
C. 5
D. -8 ...?
A waitress earned $73 for 6 hours of work. The total included $46 in tips. What was her hourly wage? (Show Work) ...?
What is the value of 0.15 divided by .05
A polynomial function has a zero at x=3 which of the follwing expressions must be one factor of the polynomial. A. x + 3 b. 3x C. x^3 D. x - 3 but could you explain how to do it so i can do it on my own! ...?
Answer: The correct option is (D) (x - 3).
Step-by-step explanation: Given that a polynomial function has a zero at x = 3.
We are to select the correct expression that must be a factor of the polynomial.
FACTOR THEOREM : The theorem states that if x = a is a zero of a polynomial p(x), then (x - a) will be a factor of the polynomial p(x).
In case of our given polynomial, since x = 3 is a zero of the polynomial, so by factor theorem, we can say that
(x - 3) is a factor of the given polynomial.
Thus, the required factor is (x - 3).
Option (D) is CORRECT.
In the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, one out of every three awards is a larger prize.
What is the probability that a ticket that is randomly chosen will award a larger prize?
Answer:
The probability that a ticket that is randomly chosen will award a larger prize is:
1/5=0.2
Step-by-step explanation:
Let A denote the event that the ticket is a winning ticket.
B denote the event that there is a larger prize.
A∩B denote the event that there is a larger prize on the winning ticket.
Let P denote the probability of an event.
Now according to the given information we have:
[tex]P(A)=\dfrac{6}{10}[/tex]
Also, [tex]P(B|A)=\dfrac{1}{3}[/tex]
Hence, we are asked to find: P(A∩B)
We know that:
[tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}\\\\\\\dfrac{1}{3}=\dfrac{P(A\bigcap B)}{\dfrac{6}{10}}\\\\\\P(A\bigcap B)=\dfrac{1}{3}\times \dfrac{6}{10}\\\\P(A\bigcap B)=\dfrac{2}{10}=\dfrac{1}{5}=0.2[/tex]
The probability is:
1/5=0.2
The overall probability that a randomly chosen ticket will award a larger prize is 0.2, or 20%, obtained by multiplying the probability of drawing a winning ticket (0.6) with the probability of winning a larger prize if the ticket is a winner (0.333).
For the probability that a ticket randomly chosen will award a larger prize, given that 6 out of every 10 tickets are winners and of those, 1 out of every 3 is a larger prize.
First, we calculate the probability of drawing a winning ticket, which is 6/10 or 0.6.
Then we compute the probability of the winning ticket awarding a larger prize, which is 1/3 or approximately 0.333.
To find the overall probability of a randomly chosen ticket awarding a larger prize, we multiply these two probabilities together:
Overall probability = Probability of winning ticket×Probability of larger prize on winning ticket
Overall probability = 0.6 ×0.333
Overall probability ≈ 0.2
So, the probability that a ticket awards a larger prize is 0.2, or 20%.
The number of people waiting in a line to buy tickets x minutes after a ticket booth opened is given by the expression 70 − 5x.
What does the value 70 represent?
A. the number of people in the line when the ticket booth opened
B. the number of people who bought tickets every minute
C. the number of minutes it takes to sell all the tickets
D. the total number of tickets available
The 70 represents the no of people in the line at the time when the ticket booth is opened.
Given that,
The time is in minutes.And, the given expression is 70 - 5x.Based on the above information, the 70 shows that the number of people at the time when the ticket booth is opened.
Therefore, the other options are wrong.
Thus we can conclude that the 70 represents the no of people in the line at the time when the ticket booth is opened.
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Find all points of extrema on the interval [0, 2π] if y= x + sinx. ...?
Round off or add zero to the following calculated answers to give a final answer with three significant figures: 0.00001258 L ...?
To round off or add zero to the calculated answer of 0.00001258 L and give a final answer with three significant figures, round up the last significant figure to 6.
Explanation:In order to round off or add zero to the calculated answer and give a final answer with three significant figures, follow these steps:
Start with the calculated answer: 0.00001258 LCount the number of significant figures in the given number, which is 5. Since we want to round to three significant figures, we need to round off or add zero to the answer to make it have three significant figures.In this case, the first three significant figures are 1, 2, and 5. The next digit is 8, which is greater than 5. Therefore, we round up the last significant figure to 6.The final answer, rounded off to three significant figures, is 0.0000126 L.To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following: For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.
Explanation:To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following:
For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.
Which is a prime number 29,51,81,93?
Answer:
29
Step-by-step explanation:
29 is only divisible by 1 and itself.
What is the simplified form of the quantity of x plus 8, all over 4 − the quantity of x plus 5, all over 4?
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the simplified form of the quantity of x plus 8, all over 4 − the quantity of x plus 5, all over 4
[tex]\frac{x+8}{4} -\frac{x+5}{4}[/tex]
To simplify the expression , we check the denominator.
When the denominators are same then we subtract the numerators, we put denominator only once
[tex]\frac{x+8-(x+5)}{4}[/tex]
Multiply negative inside the parenthesis and combine like terms
[tex]\frac{x+8-x-5}{4}[/tex]
[tex]\frac{3}{4}[/tex]