Given:
Consider the expression is [tex]\sqrt{-12}[/tex].
To find:
The value of given expression.
Solution:
We have,
[tex]\sqrt{-12}[/tex]
It can be written as
[tex]\sqrt{-12}=\sqrt{-1\times 12}[/tex]
[tex]\sqrt{-12}=\sqrt{-1}\times \sqrt{12}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\sqrt{-12}=i\times \sqrt{12}[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{-12}=\sqrt{12}i[/tex]
Therefore, the value of given expression is [tex]\sqrt{12}i[/tex].
Note: all options are incorrect.
If you were offered $18 dollars per hour, $3,000 dollars a month or $37,000 dollars a year, which would you take if salary was the only consideration?
Answer:
I will consider $18/hour pay
Step-by-step explanation:
Before we an know which of the money to consider, we need to converted the equivalent amount in years
If $18 dollars is offered per hour, to know the equivalent amount per year.
1year = 8760hour
$18 = 1hr
x = 8760hr
x =18×8760
x = $157680
For the monthly pay
$3000 = 1month
y =12months
Since 12months are in year
Cross multiply
y = 3000×12
y = $36000
Since the hourly pay equivalent in years is greater than the monthly and yearly pay, hence I would consider $18 per hour pay
A package of pairs of insulated costs $. What is the unit price of the pairs of
Answer:
$5.89 per pair
$35.34 6 pairs
$35.34/6=$5.89 per pair
If x = 6 and y = –2, evaluate the following expression:
7(2x – 3y)
Answer:
14x-21y
Step-by-step explanation:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. This is:
7(2x – 3y)
= 7(2(6) – 3(-2))
= 7(12 + 6)
= 7(18)
= 126Christine needs to make a total of 40 deliveries this week. So far she has completed 14 of them . What percentage of her total deliveries has Christine completed?
Answer:
Christine has completed 35% of her total deliveries.
Step-by-step explanation:
To find the answer, you can use a rule of three considering that as Christine needs to make a total of 40 deliveries this week, this would represent 100% and with this you can find the percentage that the 14 deliveries completed represent:
40 → 100%
14 → x
x=(14*100)/40=35%
According to this, the answer is that Christine has completed 35% of her total deliveries.
what are the solutions ?
[tex]7x ^{2} + 10x - 3 = x ^{2} + 3x[/tex]
Answer:
[tex]x = \frac{ - 3}{2} \: or \: \frac{1}{3} [/tex]
Step-by-step explanation:
[tex]7 {x}^{2} + 10x - 3 = {x}^{2} + 3x[/tex]
[tex] = > 7 {x}^{2} - {x}^{2} + 10x - 3x -3 = 0[/tex]
[tex] = > 6 {x}^{2} + 7x - 3 = 0[/tex]
[tex] = > 6 {x}^{2} + 9x - 2x - 3 = 0[/tex]
[tex] = > 3x(2x + 3) - 1(2x + 3) = 0[/tex]
[tex] = > (2x + 3)(3x - 1) = 0[/tex]
Here x will have 2 values.
1) [tex]2x + 3 = 0[/tex]
[tex] = > 2x = - 3[/tex]
[tex] = > x = \frac{ - 3}{2} [/tex]
2)[tex]3x - 1 = 0[/tex]
[tex] = > 3x = 1[/tex]
[tex] = > x = \frac{1}{3} [/tex]
Question 12
7 pt
Marcus bought school supplies for $42.00, not including tax. If the tax rate was 8.5%,
what was the total cost of the school supplies, including tax?
Answer:
$45.57
Step-by-step explanation:
First, calculate the dollar amount of the tax. This can be done by multiplying the price by the sales tax percentage
$42 × 8.5%= $3.57
Now, add the sales tax amount back to the price.
42 + 3.57 = 45.57
please help asap will give brainliest
Answer:
56.6
Step-by-step explanation:
2 (pi)(r)
2 (3.142) (9)
6.284 (9)
56.556
one decimal place = 56.6
Answer:
28.2
Step-by-step explanation:
C=2(3.142)(4.5)
Radius- half the width.
Hope this helped :)
construct a 2x2 matrix whose element are given by i+j
9514 1404 393
Answer:
see below
Step-by-step explanation:
Assuming i and j refer to the row and column of a given element, that matrix would be ...
[tex]\left[\begin{array}{cc}2&3\\3&4\end{array}\right][/tex]
__
Rows are numbered top down, starting with 1. Columns are numbered left-to-right, starting with 1. The upper left element is in row 1, column 1, so has a value here of 1+1 = 2. Each number is one more than the one to its left. Each number is 1 more than the one above it.
Can someone please help me
Answer:
B hope that help
Step-by-step explanation:
Can someone please help me with this
9514 1404 393
Answer:
[-6, 8]
Step-by-step explanation:
The range of a function is its vertical extent.
Here, the low point on the graph is (11, -6). The high point on the graph is (-6, 8). The graph is continuous between these points, so every value between a low of y=-6 and a high of y=8 is part of the range:
-6 ≤ y ≤ 8 . . . . . . . . [-6, 8] in interval notation
Original price is $16.45, markdown is 33%. The sales price is (only use numbers): $
Answer:
$11.02
Step-by-step explanation:
Do you agree or disagree with each statement? Explain your reasoning.
Employee A gets a pay raise of 50%. Employee B gets a pay raise of 45%. So Employee A gets the bigger pay raise.
Pls help.
Answer:
agree
Step-by-step explanation:
I agree with employee A getting a bigger pay raise than employee B if employee be got a bigger pay raise that is because they have more responsibility or have more skills than employee B.
16an - 19an +8b +9an +12 b
Answer:
16an - 19an + 9an + 8b + 12b
6an + 20b
Answer:
6an+20b I believe
Step-by-step explanation:
expand and simplify 5(2x-1)+2(3x-6)
Answer:
16x - 17
Step-by-step explanation:
Answer:
16x-17
Step-by-step explanation:
Please answer correctly !!!!!!!!!!! Will mark Brianliestttt helpppp !!!!!!!!!!!!
Answer:
18
Step-by-step explanation:
The centroid divides the median into 2 parts from the vertex to one point to the opposite side of the vertex where the median starts.
Put into simpler language. HB is twice as long as HF
If Hf is 6 then HB is 12. BF is the total length of both or 6 + 12 = 18
HELP ME HELP ME! PLZ DONT GIVE the WRONG ANSWER PLS ALSO EXPLAIN! I GIVE BRAINEST ASAP!
A volunteer made m muffins for the bake sale. After selling 28 muffins, 21 muffins remained. Write and solve an algebraic equation to find how many muffins she originally made. *
Answer:
The original amount of muffin she original made will be: m = 49
Step-by-step explanation:
Let 'm' be the muffins made for the bake sale.Given that after selling 28 muffins, 21 muffins remained.
Thus, the equation becomes
[tex]m - 28 = 21[/tex]
adding 28 to both sides
[tex]m-28+28 = 21+28[/tex]
[tex]m = 49[/tex]
Therefore, we conclude that the original amount of muffin she original made will be: m = 49
2x +y =4 and 5x + 4y = 7
3 drinks and 2 pretzels costs $16, but 5 drinks and 5 pretzels costs $31.25. What is the price of one pretzel?
Casey started a puzzle yesterday and completed 63 of the pieces. Today, he is
continuing the puzzle and is laying down the pieces at a constant rate. After 13
minutes, he now has 115 pieces put together. After 21 minutes, he has 147 pieces in
total put together. At what rate is he putting this puzzle together today?
7 pieces/min
2 pieces/min
4 pieces/min
9 pieces/min
Answer:
4 pieces a minute
Step-by-step explanation:
115 minus 63 equals 52. 52 is what they did in 13 minutes so 52 divided by1 3 is 4 so 4.
ITS EASY BUT I ALWAYS CANT SOLVE IT
Find the perimeter and the area of a rectangle with the sides 3 3/10 meters and 6 2/3 meters.
The area of the rectangle is __ m2. The perimeter of the rectangle is __ m.
Answer:
The area of the rectangle is 22 m^2. The perimeter of the rectangle is 19.93
Step-by-step explanation:
The area of a rectangle is [tex]l*w[/tex]. The perimeter of a rectangle is [tex]2(l+w)[/tex] or just adding up all 4 sides. Now, all you need to do is math.
[tex]A= 3.3 * (20/3) = 22\\P = 2 (3.3 + (20/3)) = 19.93[/tex]
If your teacher has rounding rules, please follow it.
Select ALL the answers that apply.
A student is solving the equation 21 y + 3) = 14 for y. Which of these could be the next step?
1. Distribute on the left hand side to get 2y +3 = 14
2. Divide both sides by 2 to get y+3 = 7
3. Distribute on the left hand side to get 2y +6 = 14
4. Subtract 3 from both sides to get 2y = 11
5. Divide both sides by 2 to get y+3 = 14
please help i’ll make brainless
Answer:
Blank 1: 2
Blank 2: 7
Step-by-step explanation:
We can see that the starting value is 2, and the ratio is 7
Solve this equation: x - 2 1/4 = 3 1/8
Answer:
The answer is 5 3/8
Step-by-step explanation:
April has five times as many clear marbles as blue marbles she has 4 times as many blue marbles as red marbles she has three red marbles how many blue and clear marble does she have altogether
Answer:
12 blue marbles
60 clear marbles
Step-by-step explanation:
From the information given:
Let the red marble be = r
the blue marble = b; & the clear marbles be c
April has five times as many clear marbles as blue marbles.
i.e
5c as b
She has 4 times as many blue marbles as red marbles;
i.e. 4b as r
She has 3 red marbles
i.e. r = 3
If r = 3
Then; 4 times as many blue as r will be:
= 4 × 3
= 12 blue marbles
If b = 12; then 5 times as many clear marbles as blue marbles will be:
= 5 × 12
= 60 clear marbles
Write each as a fraction or mixed number in lowest terms
6.05
12.346
7.5
Answer:
Please check the explanation.
Step-by-step explanation:
Given the decimal number
[tex]6.05[/tex]
Rewrite as
[tex]=6+0.05[/tex]
[tex]=6+\frac{5}{100}[/tex] ∵ 0.05 = 5/100
[tex]=6+\frac{1}{20}[/tex]
[tex]=\:\frac{121}{20}[/tex]
[tex]=6\frac{1}{20}[/tex]
Given the decimal number
12.346
Rewrite as
[tex]=12+0.346[/tex]
[tex]=12+\frac{173}{500}[/tex] ∵ 0.346 = 346/1000 = 173/500
[tex]=12\frac{173}{500}[/tex]
Given the decimal number
7.5
Rewrite as
[tex]=7+0.5[/tex]
[tex]=7+\frac{1}{2}[/tex] ∵ 0.5 = 1/2
[tex]=7\frac{1}{2}[/tex]
Pls help PLSSSS PLSSS
Answer:
a. Geometric
b. 20, 10 and 5
c. Tn = 20(0.5)^n-1
d. 0.00004 ft
Step-by-step explanation:
a. The sequence is geometric
The reason for this is that we will be multiplying each term by a particular value
If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number
b. 1st term is
20
second term
1/2 * 20 = 10
Third term
1/2 * 10 = 5
c. Explicit formula
Mathematically, that will be;
Tn = ar^n-1
Where r is 1/2 or 0.5
Tn = a(0.5)^n-1
where Tn is the present term and n is the present number of the term
d. 20th term
T20 = 20 * 0.5^19
T20 = 0.00004 ft
What numbers are prime numbers?
Answer:
C
Step-by-step explanation:
all four numbers in c do not have any other factors other than 1 and itself. All quotients of the number are not whole numbers.
Help me please !!!!!
Answer:
a = 1
Step-by-step explanation:
[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]
One must simplify this expression, by distributing. In order to find a solution, where x has infinite solutions, one must make this equation an identity. That means that the equation will hold true, no matter what value of x is plugged in.
[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]
Distribute;
6x - 2 = 6x - 2a
Inverse operations;
6x - 2 = 6x - 2a
-6x -6x
-2 = -2a
1 = a
For this equation to be true no matter what, a must equal 1.
Answer:
1
Step-by-step explanation:
Well's College in New York was previously an all girls school. In 2005, the college began to allow boys to enroll. By 2012, the ratio of boys to girls was 3:7. If there were 200 more girls than boys, how many boys were enrolled that year?
Answer: 150 boys
Step-by-step explanation:
Let the number of boys be x
Since there were 200 more girls than boys, the number of girls will be: = x + 200
Since the ratio of boys to girls was 3:7, this can be solved further below:
3/7 = x/x+200
Cross multiply
(7 × x) = 3(x + 200)
7x = 3x + 600
7x - 3x = 600
4x = 600
x = 600/4
x = 150
The number of boys enrolled is 150
Number of Girls will be:
= X + 200
= 150 + 200
= 350
Check: Number of boys / Number of girls
= 150/350
= 3/7
= 3:7