The number $16$ has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below:\[\square^4=16.\] Find them.
9514 1404 393
Answer:
{2, 2i, -2, -2i}
Step-by-step explanation:
Fourth roots of positive real numbers are always on the cardinal points of the complex plane. The positive real fourth root of 16 = 2^4 is 2. The others are this multiplied by various powers of i.
2, 2i, -2, -2i
Antwan Campbell earns $494 per week. He is married and claims 1 child as a dependent. The state tax rate is 2.25% of taxable income. What amount is withheld from his weekly pay for state income tax?
Answer:
$12.35
Step-by-step explanation:
Amount earned by Campbell per week = $494
Tax rate = 2.25 %
Amount withheld = 2.25% of his earning;
Amount withheld = 2.25 % of 494
Amount withheld = 0.025 * 494
Amount withheld = $12.35
Hence the amount withheld from his weekly pay for state income tax is $12.35
Bernadette works at a Car Lot in Buffalo selling used cars. Each month Bernadette receives $2000 plus she receives a 5% commission for all of her sales. In April, Bernadette sold $84,000 worth of used cars. Calculate the total amount of money Bernadette earned in April.
he said SHOW ALL WORK, please help
Answer:
The total amount of money Bernadette earned in April was $6200
Step-by-step explanation:
Let us solve the question
∵ Each month Bernadette receives $2000
∵ She also receives a 5% commission for all of her sales
∴ She earns each month = 2000 + 5% of her sales
∵ In April, Bernadette sold $84,000 worth of used cars
→ Multiply it by 5% to find her commission
∴ Her commission = 5% × 84,000
→ Change 5% to decimal by divide it by 100
∵ 5% = 5 ÷ 100 = 0.05
∴ Her commission = 0.05 × 84,000
∴ Her commission = $4200
→ Add her commission to her fixed amount to find her salary in April
∵ She earned in April = 2000 + 4200
∴ She earned in April = 6200
∴ The total amount of money Bernadette earned in April was $6200
Answer: Bernadette works at a Car Lot in Buffalo selling used cars. Each month Bernadette receives $2000 plus she receives a 5% commission for all of her sales. In April, Bernadette sold $84,000 worth of used cars. Calculate the total amount of money Bernadette earned in April.
Step-by-step explanation:
$2000 + 5% + $84,000= 86000.05 or 86000
All you have to do is just Add - $2000 + 5% + $84,000=
And it gives you 86000.05 or 86000
Sorry if I got it wrong.
You might need:
y
3+
2+
1+
2
-4 -3 -2 -1
1
2.
-1
-27
-3
Answer:
-36
Step-by-step explanation:
3+2+1+2=8-4-3=1-2=-1-1=-2x1x2=-4-1=-5-27=-33-3=-36
A classroom measures 14 meters by 7 meters by 3.5 meters. How many cube meters of air are in the room?
Answer:
343 cube meters of air
*BRAINIEST & 20 POINTS*
i only have 2 chances so please get it correct!!!
Answer:
(-4, 5)
Step-by-step explanation:
partitions 1 to 4 means that point will make part of the line where it is 1 part to the other 4 parts. This means there are a total of five parts.
For x, we go from -7 to 8 or 15 units, and we are 1/5 of that distance so 3 units, add that to -7 we get -4.
For y, we go from 8 to -7, or 15 units, and we are 1/5 of that distance so 3 units, subtract that from 8 we get 5.
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Triangle A B C is shown with its exterior angles. Angle B A C is (p + 4) degrees and angle A C B is 84 degrees. Exterior angle X B C is (3 p minus 6 degrees).
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
HELP!!!!!!!!!!!!!!! please show your work, look at the picture
Answers and steps are in the picture below!
can anyone help me answer this?!?!
angle BCA should be the same as angle CAD -> 20°
Can anyone help mee??
Answer:
20
Step-by-step explanation:
50%=10
100%=20
Answer:
20
Step-by-step explanation:
50% basically means half, so if 10 is 50% then the other 50% is also 10.
so 10x2=20
is -/17 a rational number
Answer:
17 is a rational number because it can be expressed as the quotient of two integers: 17 ÷ 1.
Diego has two jobs. He works 3 hours at the library each day, making $8 per hour. In addition, he works at a coffee shop, making $7.50 per hour. At the coffee shop, he works more than 4 hours but less than 7 hours
each day Diego needs to make at least $70 daily to afford his living expenses.
Which of the following systems represents the constraints given in this scenario?
Let I represent the number of hours he works at the library
and c represent the number of hours he works at the coffee shop.
A: l = 3
4 < c < 7
8l + 7.50 ≥ 70
B: l = 3
4 ≤ c ≤ 7
8l + 7.50 ≥ 70
C: 1 = 3
4 ≤ c ≤ 7
7.50l + 8c ≤ 70
D: 1=3
4 < c < 7
7.50l + 8c ≥ 70
Answer:b
Step-by-step explanation:
Answer:B
Step-by-step explanation:
has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$29
$19
$21
$30
$35
$15
Please Answer A,B,C
Correctly,
Fast,
and Answer All
To get Brainliest and 5 Stars lastly a Thanks
and have a Merry Christmas and a Happy New Year!
Answer:
a. Line A and line C
b. Line B
c. Line A and line C
Step-by-step explanation:
a. Negative slopes slant downwards from your left to the right. Thus, line A and line C are negative slopes.
b. The line with the steepest slope is the line that appears to slant the more, whether downwards to the right or upwards to the right.
Line B appears to slant the more. Therefore line B has the steepest slope
c. The slope value of line A, that is rise/run = 4.
The slope value of line C = 4 also.
Parallel lines have the same slope value. Therefore, line A and C are parallel.
find each measurement indicated, round your answers to the nearest tenth
Answer:
1. 27.0 m
2. 28.0 degrees
Step-by-step explanation:
1. AB
To find AB, we start by getting the measure of the third angle A
Mathematically;
A + 90 + 51 = 180
The sum of angles in a triangle is 180
A = 180-90-51
A = 39
We then proceed to use the sine rule
Mathematically, the sine rule states that the ratio of the measure of a side and the sine of the angle facing the side is same for each side of the triangle
Thus, with respect to the given triangle;
17/sin 39 = x/sin 90
x = 17sin90/sin 39
x = 27.0 m
Kindly note that we substituted x for AB
2. To find the measure of angle A we use the sine rule as used above, but here we have a missing angle and not a missing side
Thus;
34/sin 127 = 20/sin A
Sin A = (20 sin 127)/34
sin A = 0.469
A = sin^-1 0.469
A = 28.0 degrees
f(x)=x^3+2x^2-6x+9
when f(x) is divided by x+a, the remainder is R, when divided by x-a, the reminder is 2R
a) show that 3a^3-2a^2-18a-9=0
b) solve the expression completely
Answer:
Step-by-step explanation:
A rectangle has a height of a^2+3 and a width of a^2 +2a+5
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
Area = a^4 + 10 a^2 + 6 a + 15
Step-by-step explanation:
Height: a^2+3
Width: a^2 +2a+5
Area of the entire rectangle = Height x Width
So we have to multiply both expressions and apply distributive property:
Area = (a^2 + 3) x (a^2 + 2a + 5)
Area = a^2 x (a^2 + 2a + 5) + 3 x (a^2 +2a + 5)
Area = a^4 + 2a^2 + 5a^2 + 3a^2 + 6a + 15
grouping terms of same power of a:
Area = a^4 + (2+5+3)a^2 + 6a + 15
Area = a^4 + 10 a^2 + 6 a + 15
A six pack of soda is on sale for $2.46. Whats the cost of 1 soda
Answer:
.41 cents
Step-by-step explanation:
divide it by 6
Answer:
I think it is $0.41
Which number line shows the solution of –5x + 10 > –15?
Answer:
b
Step-by-step explanation:
Answer:
Where is the number line?? ;-;
Step-by-step explanation:
Dude I cant answer if you dont show me the number lines
A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible. If the largest group was formed, how many students of each grade level would be in each group?
Answer:
The music director can form a total of 15 groups
6 Sixth grade students per group
5 Seventh grade students per group
Step-by-step explanation:
Sixth grade students = 90
Seventh grade students = 75
Find the highest common factor of 75 and 90
90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
75 = 1, 3, 5, 15, 25, 75
The highest common factor of 75 and 90 is 15
Therefore, the music director can form a total of 15 groups
Sixth grade students per group = 90 / 15
= 6 Sixth grade students per group
Seventh grade students per group = 75 / 15
= 5 Seventh grade students per group
A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has a length of 12 feet. What is the perimeter of the larger rectangle?
Answer: 33.6 feet
Step-by-step explanation:
Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.
A larger, similar rectangle has a length of 12 feet. The width will be:
= 12 / 2.5
= 4.8 feet
The perimeter of the larger rectangle will then be:
= 2(Length + Width)
= 2(12 + 4.8)
= 2 × 16.8
= 33.6 feet
I need help on this....
its a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
A linear function's standard form is represented by the equation
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept(where the line crosses the y-axis).
So if a function has a slope of 7/2 which is the value of m and crosses the y-axis at 9 which is the value of b then the equation would be
[tex]y=mx+b\\y=\frac{7}{2}x+9[/tex]
So option A is our answer
Hackensack and New York City are 12 miles apart. On a map, the two cities are 2 Inches apart. How many miles does 1 Inch represent on the map?
Answer:
6 miles
Step-by-step explanation:
From the question, we are told that 12 miles represents 2 inches on the map.
We are to calculate the amount of miles 1 inch will represent. To do this you will say:
12 miles = 2 inches
x miles = 1 in
Cross multiply;
2 * x = 12 * 1
2x = 12
x = 12/2
x = 6
Hence 1 inch will represents 6 miles on the map
30 divided by 2313. Please work out the answer for me. Thanks You!
Answer: it’s 77.1 plz mark me brainliest
thos was super hard to do
Step-by-step explanation:
Determine whether the relation is
a function.
{(-6,3),(2,2),(6,2),(3,7)}
Answer:
Since there is one value of y{(-6,3),(2,2),(6,2),(3,7)}for every value of x in , this relation is a function.The relation is a function.
Step-by-step explanation:
Hope that help like and please give me brainiest.Aslo add me.
On Monday, Mrs. Smith drove 3.56 miles to go to the grocery store, 5.9 miles to go to the bank, and 12.087 miles to go out to dinner. Round each
number to the nearest mile to estimate the number of miles Mrs. Smith drove on Monday
Answer:
22
Step-by-step explanation:
3.56 = 4
5.9 = 6
12.087 = 12
4+6+12 = 22
Does 4/10 simplify to 1/4?
No.
Yes.
Answer:
No.
Explanation:
4/10 cannot be simplified to 1/4. 4/10 is simplified to 2/5.
The decimal form is 0.4
Hopefully this is correct. Good luck with your studies.
4/10 = 2/5 which is not simplify to 1/4
so the answer is NO.
For a rectangle with length 3x+4 and perimeter of 10x+18, what is the width of the rectangle?
Answer:
For a rectangle with length 3x+4 and perimeter of 10x+18, what is the width of the rectangle
2. I want to send out 25 Chitstmas cards so I will need 25 stamps. Each stamp cost $0.55; SO how much will I spend on stamps?
Answer:
$13.75
Step-by-step explanation:
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step by step solution will give brainlist