Answer:
In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin in the Cartesian coordinate system in the Euclidean plane.
Step-by-step explanation:
Answer:
El círculo unitario se divide en 4 partes, denominadas cuadrantes. El primer cuadrante (I) está formado por los ejes xey positivos. El primer cuadrante (I) está formado por los ejes xey positivos. Si dibujamos cualquier radio del círculo unitario en el primer cuadrante, el ángulo con el eje x positivo puede tener cualquier valor entre 0 y 90 °.
If a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is: a. $213.60 b. $6,408.00 c. $6,621.60 d. $17,225.81
Answer:
Correct Answer:
C: $6,621.60
(EDGE 2021)
Step-by-step explanation:
The maximum amount of Social Security tax that could ever be charged in a single year exists $6,621.60.
What is Social Security tax?Social Security exists financed through a reliable payroll tax.
Knowing that a 6.2% Social Security tax exists applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year stands at $6,621.60. Social Security offers all but unemployment insurance.
Therefore, the correct answer is option c. $6,621.60
To learn more about Social Security tax
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Find the next three terms of the arithmetic sequence 5, 11, 17, 23,...
29, 34,38
O 25,31,37
O 28, 33,38
O 29, 35, 41
Answer:
29, 35, 41
Step-by-step explanation:
The difference is always 6
calculate the gross margin if the selling price is $264 and the cost is $214
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
To calculate the gross margin, we need to deduct from the selling price the unitary cost:
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50
Does anyone know this ??
Answer:
C
Step-by-step explanation:
because I took the test
can anyone help me ?
Answer:
Table 3.
Step-by-step explanation:
A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
288
Step-by-step explanation:
you would do 180 devided by 3 then multiply that number by 5
28÷7×1/4
no links pls
Answer:
1 is the answer
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
first, you divide 28 by 7 and get 4, then multiply 4 by 1 which is 4, finally divide 4 from 4 with is 1
((28/7)*1)/4=1
WILL GIVE BRANLIST Probability Event:
You have a deck of 20 cards numbered 1-20. You draw a card from a deck and keep it. The next person draws another card. What is the probability you will both draw an even card?
Label the probability event above as either
A
Independent
B
Dependent
Answer:
9/38
Step-by-step explanation:
The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.
Select the correct answer.
A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.
p(x) = -10x^2 + 498x - 1,500
what is the company's profit if it sells each sign for $20?
A. $18,020
B. $4,460
C. $14,420
D. $1,402
The profit made id each sign is sold for $20 is $4460
The profit model, P(x) = -10x² + 498x - 1,500
Where, x = price per sign sold
If the price per sign sold is $20. Hence, x = $20
The profit made can be calculated thus :
Put x = 20 in the profit function :
P(20) = -10(20)² + 498(20) - 1,500
P(20) = - 10(400) + 9960 - 1500
P(20) = - 4000 + 9960 - 1500
P(20) = $4,460
The profit made is $4,460
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Answer:
$4,460
Step-by-step explanation:
I got a 100% on my test
The square of an integer is 5 more than 4 times the integer. Find the integer.
Answer:
The integer can be -1 or 5.
Step-by-step explanation:
Let an integer is x.
ATQ,
The square of an integer is 5 more than 4 times the integer.
[tex]x^2=5+4x[/tex]
or
[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]
It is a quadratic equation. Using middle term splitting,
[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]
So, the integer can be -1 or 5.
If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5
Let the unkown integer be "x"
The square of an integer is expressed as x^2
5 more than 4 times the integer is expressed as [tex]4x +5[/tex]
Equate both expressions to have:
[tex]x^2 = 4x + 5\\[/tex]
Equate to zero and factorize:
x^2 - 4x - 5 = 0
x^2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and 5
Hence the integers are -1 and 5
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Which expression is equivalent to?
Answer:
D
Step-by-step explanation:
multiply the inside by -0.5
Answer:
[tex]-3\left(x-2\right)[/tex]
Step-by-step explanation:
[tex]\frac{-1}{2}\left(6x-12\right)=\frac{\left(-1\right)\left(6x-12\right)}{2}==-\frac{\left(6x-12\right)}{2}=-3\left(x-2\right)[/tex]
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Step-by-step explanation:
$540 - $353.59 = $186.41
$186.41 - $4.98 = $181.43
$181.43 - $38.67 = $142.8
She has $142.8 left and if she want to buy the outfits for $49.20 she is going to have $93.6 left
A rectangle has a length of 5cm and a height of 4cm. Find the area of the rectangle
Answer: 20cm
Step-by-step explanation: 5cm x 4cm = 20cm
Hope this Helps!
Answer:
18
Step-by-step explanation:
PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answer:
a is 23 1/24 or 553/24 and b is 109 43/87
Step-by-step explanation:
Find the x-intercept of the following equation: 9x^2 + 2y=18
Step-by-step explanation:
To get the x-intercept, set y = 0. Then solve for x:
[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]
Therefore, the x-intercept is
[tex]( \sqrt{2} \: \: \: \: 0)[/tex]
Helpppp Please Please pretty please help this is TIMES NO LINKS or I WILL REPORT YOU I will mark brainliest please give explanation please
Answer:
W = 15.5 in.
A = 240.25 in.^2
Step-by-step explanation:
L = 31 in.
W = 1/2 W = 15.5 in.
A = LW/2
A = 31 in. * 15.5 in. / 2
A = 240.25 in.^2
What is the product?
Answer:
I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am
Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?
Answer: Tammy would have 9
Step-by-step explanation:
(6 3/4) / (3/4) =
= 27/4 / 3/4
= 27/4 * 4/3
= 27/3 * 4/4
= 9
The list shows the amount of snow, in inches, that fell each day for 5 days.
8, 3, 12, 1,1
What is the mean daily snowfall?
O A. 1 inch
B. 3 inches
OC, 4 inches
D. 5 inches
Answer:
5 inches
Step-by-step explanation:
add all them and divide by 5.
In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?
a. The number of degrees of freedom for the test is 8 - 1 = 7.
b. The chi-square test should not have been used because two of the counts in the table are less than 5.
c. The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.
d. The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
e. The chi-square test shows that fans favor the use of instant replay.
Answer: (D) The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
Step-by-step explanation:
From the P-value supplied, it shows that the researcher was 99% confident of the experiment and have 1% chance of error.
Given that the p-value less than 0.001 were calculated, it translates that there is a statistical dependency between the category of the people interviewed and opinion about the use of instant replay.
There are 500 students in school. 40% of them are boys and the rest are girls. What is the percentage of girls? And find the number of boys and number of girls in the school
Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?
First lets find the total number of cookies
12*4=48
48 cookies
Number of cookies eaten
5*2=10
10 were eaten
Cookies left
48-10=38
38/48=19/24
19/24 of the cookies are left
Answer:
38 are left
Step-by-step explanation:
add 10 to z, then double the result
Do not simplify any part of the expression.
2(z+10)
2z+20
Answer:
2z+20
find the reciprocal of each number 2/3, 1/7, 4 ( show work)
Answer:
A reciprocal is the fraction flipped around. So basically 3/2, 7/1, and 1/4. Since 4 is a whole number the denominator is 1. Therefore, the reciprocal is 1/4.
Answer this for 10 points
Answer:
Equations would be;
30 + 50 + y = 180
and
y = 180 - 80
Additional:
If you are looking for y and u value then here they are:
y = 100°
u = 25°
Hope this helps!
A large soup pot holds 10 gallons of soup. Jared has quarts of chicken broth. How many quarts of chicken broth will he need to fill the soup pot
Answer:
40 quarts
Step-by-step explanation:
1 gallon=4
4•10=40
I need help plz I have a time test plz
Answer:
interest = $600
Step-by-step explanation:
for simple interest,
I = PTR/100
Principal (P) = $5000
Time (T) = 3 YEARS
Rate(R) = 4%
therefore, Interest (I) = $5000 × 3 × 4 / 100
= $ 600
What is the least natural number that is greater than 10 and has a remainder of 5 when divided by 6, has a remainder of 5 when divided by 9, and has a remainder of 5 when divided by 12?
Answer:
41
Step-by-step explanation:
I am essentially going through every multiply of 12 and then adding 5 to it, because we are using the rule that it should have a remainder of 5. It should also be a remainder of 5 if divided by 6 and 9 as well.
12 + 5 = 17
17/6 = 2 R 5
17/9 = 1 R 8
24 + 5 = 29
29/6 = 4 R 5
29/ 9 = 3 R 2
36 + 9 = 41
41/6 = 6 R 5
41/9 = 4 R 5
Hence, the number is 41
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation6:
The value of a angle
The sum of adjacent angles equals 180 degrees. Opposite angles are equal, so if you know the value of one angle, its opposite partner will have the same value. For example, if the value of one angle is 75 degrees its adjacent angle will be 105 degrees and its opposite angle will also be 75 degrees.
After a late night of studying, Ebony decides to grab a latte before class so she can stay awake through her morning lecture. She has only a one-dollar bill, a five-dollar bill, and a ten-dollar bill in her wallet. She pulls one out and looks at it, but then she puts it back. Distracted by a flyer for a new campus organization, she randomly hands a bill from her wallet to the clerk. Construct a sample space, and find the probability that (a)Both bills have the same value. (b)The second bill is smaller than the first bill. (c)The value of each of the two bills is even. (d)The value of exactly two of the bills is odd. (e)The sum of the values of both bills is less than . Write your answers in exact, simplified form.
Answer:
[tex]P(Same\ Bill) = \frac{1}{3}[/tex]
[tex]P(Second<First\ Bill) = \frac{1}{3}[/tex]
[tex]P(Both\ Even) = \frac{1}{9}[/tex]
[tex]Pr(One\ Odd) = \frac{4}{9}[/tex]
[tex]P(Sum < 10) = \frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]Bills: \$1, \$5, \$10[/tex]
[tex]Selection = 2\ bills[/tex]
The sample space is as follows:
This implies that we construct possible outcome that Ebony selects a bill, returns the bill and then select another.
This means that there are possibilities that the same bill is selected twice.
So, the sample space is as follows:
[tex]S = \{(1,1), (1,5), (1,10), (5,1), (5,5), (5,10), (10,1), (10,5), (10,10)\}[/tex]
[tex]n(S) = 9[/tex]
Solving (a): [tex]P(Same\ Bill)[/tex]
This means that the first and second bill selected are the same.
The outcome of this are:
[tex]Same = \{(1,1),(5,5),(10,10)\}[/tex]
[tex]n(Same\ Bill) = 3[/tex]
The probability is:
[tex]P(Same\ Bill) = \frac{n(Same\ Bill)}{n(S)}[/tex]
[tex]P(Same\ Bill) = \frac{3}{9}[/tex]
[tex]P(Same\ Bill) = \frac{1}{3}[/tex]
Solving (a): [tex]P(Second < First\ Bill)[/tex]
This means that the second bill selected is less than the first.
The outcome of this are:
[tex]Second < First = \{(1,5), (1,10), (5,10)\}[/tex]
[tex]n(Second < First) = 3[/tex]
The probability is:
[tex]P(Second<First\ Bill) = \frac{n(Second<First\ Bill)}{n(S)}[/tex]
[tex]P(Second<First\ Bill) = \frac{3}{9}[/tex]
[tex]P(Second<First\ Bill) = \frac{1}{3}[/tex]
Solving (c): [tex]P(Both\ Even)[/tex]
This means that the first and the second bill are even
The outcome of this are:
[tex]Both\ Even = \{(10,10)\}[/tex]
[tex]n(Both\ Even) = 1[/tex]
The probability is:
[tex]P(Both\ Even) = \frac{n(Both\ Even)}{n(S)}[/tex]
[tex]P(Both\ Even) = \frac{1}{9}[/tex]
Solving (e): [tex]P(Sum < 10)[/tex]
This question has missing details.
The correct question is to determine the probability that, the sum of both bills is less than 10
The outcome of this are:
[tex]One\ Odd = \{(1,10), (5,10), (10,1), (10,5)\}[/tex]
[tex]n(One\ Odd) = 4[/tex]
The probability is:
[tex]Pr(One\ Odd) = \frac{n(One\ Odd)}{n(S)}[/tex]
[tex]Pr(One\ Odd) = \frac{4}{9}[/tex]
Solving (d): [tex]P(One\ Odd)[/tex]
This question has missing details.
The correct question is to determine the probability that, exactly one of the bills is 0dd
The outcome of this are:
[tex]Sum < 10 = \{(1,1), (1,5), (5,1)\}[/tex]
[tex]n(Sum < 10) = 3[/tex]
The probability is:
[tex]P(Sum < 10) = \frac{n(Sum < 10)}{n(S)}[/tex]
[tex]P(Sum < 10) = \frac{3}{9}[/tex]
[tex]P(Sum < 10) = \frac{1}{3}[/tex]