simplify the expression.
-5+i/2i
Answer:
[tex] \rm - \dfrac{11}{2} [/tex]
Step-by-step explanation:
[tex] \rm Simplify \: the \: following: \\ \rm \longrightarrow - 5 + \dfrac{i}{2} i \\ \\ \rm Combine \: powers. \\ \rm \dfrac{i \times i}{2} = \dfrac{i^{1 + 1}}{2}: \\ \rm \longrightarrow - 5 + \dfrac{i^{1 + 1}}{2} \\ \\ \rm 1 + 1 = 2: \\ \rm \longrightarrow - 5 + \dfrac{i^2}{2} \\ \\ \rm i^2 = -1: \\ \rm \longrightarrow - 5 + \dfrac{( - 1)}{2} \\ \\ \rm \longrightarrow - 5 - \dfrac{1}{2} \\ \\ \rm Put \: - 5 - \dfrac{1}{2} \: over \: the \: common \: denominator \: 2. \\ \rm - 5 - \dfrac{1}{2} = \dfrac{2( - 5)}{2} - \dfrac{1}{2} : \\ \rm \longrightarrow \dfrac{ - 5 \times 2}{2} - \dfrac{1}{2} \\ \\ \rm 2 (-5) = -10: \\ \rm \longrightarrow \dfrac{ - 10}{2} - \dfrac{1}{2} \\ \\ \rm \dfrac{ - 10}{2} - \dfrac{1}{2} = \dfrac{ - 10 - 1}{2} : \\ \rm \longrightarrow \dfrac{ - 10 - 1}{2} \\ \\ \rm -10 - 1 = -11: \\ \rm \longrightarrow - \dfrac{11}{2} [/tex]
42.2 to the nearest whole number
Answer:
42
Step-by-step explanation:
If the decimal was 5 or higher, that means it would've been 43, but since it's lower than 4, it rounds down to 42.
Which algebraic expression is equivalent to the expression below? 4/5x - 7/5y
A. 1/5(4x - 7y)
B. 5(7x - 7y)
C. 5(4x - 7y)
D. 1/5(7x + 4y)
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
Answer:
6
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
+15 +15
-5a=-40
/-5 /-5
a=6
Answer:
A = 8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
-5a=-40
-40/-5=8
a=8
If you can do your homework at a rate of 3 minutes for every problem, how many problems
could be done after 4.81 hours? Round to a whole number.
Answer:
96.2
Step-by-step explanation:
well, it rounds up to 96, so the answer would be 96, but the actual answer is 96.2
The equations y = tan^2 (x) and y = 1 are graphed below. According to the graphwhich of the following is part the solution to the trigonometric inequality tan^2 (x) < 1 over the interval 0 <= x <= 2pi radians?
Answer: a
Step-by-step explanation:
just took test edg2020
The part of the solution of the equation that lies in the solution region of the inequality is x = π/6, the correct option is A.
What is an Inequality?An Inequality is a statement that is formed when two expressions are joined using an inequality operator.
The equation is
y = tan²x
y = 1
the inequalities are
tan²x < 1 ( 0≤ x ≤ 2π)
The graph of the system of equations and the inequality is plotted, and attached with the answer.
The answer can be seen as x = π/6.
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What is the greatest common factor of 24 and 48?
Answer:
Greatest Common Factor: 24
Step-by-step explanation:
The greatest common factor is found by multiplying all the factors which appear in both lists: So the GCF of 24 (2x2x2x3) and 48 (2x2x2x2x3) is 2x2x2x3 which is 24.
The greatest common factor of 24 and 48 is 24.
Here, we have,
To find the greatest common factor (GCF) of 24 and 48,
we can use the prime factorization method:
Step 1: Find the prime factorization of each number.
Prime factorization of 24:
24 = 2 * 2 * 2 * 3
Prime factorization of 48:
48 = 2 * 2 * 2 * 2 * 3
Step 2: Identify the common prime factors and their lowest exponents.
Common prime factors: 2 * 2 * 2 * 3
Step 3: Multiply the common prime factors with their lowest exponents.
GCF(24, 48) = 2 * 2 * 2 * 3 = 24
So, the greatest common factor of 24 and 48 is 24.
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An angle measures 14° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
38 and 52
Step-by-step explanation:
x = small angle
Complementary angles add to 90 degrees
x + x+14 = 90
2x = 76
x= 38
90-38 = 52
52-14 = 38
38 +52 = 90
PLEASE HELP
WHAT ARE THE X AND Y INTERCEPTS!?!?
Answer:
X intercept is the point where the line meets the x. y intercept is the point where the line meets the y. So, the x intercept is -7.5 and the y intercept is 5.5.
2:3= 10:
12:15 = 4:
1:5= 5:
15:30 = 1 :
Answer:
I think this is the answer
Step-by-step explanation:
2:3=10:15
12:15=4:5
1:5=5:25
15:30=1:2
ksdfjsbjgdfg f sndm f
Answer:
Nice
Step-by-step explanation:
Answer:
hahhhh funny one nice :-)
Solve 1x = 7(x + 6).
Answer: answer is -7
Step-by-step explanation:
Step-by-step explanation:
Original Equation;
1x=7(x+6)
Multiply the 7 by the x and 6
1x=7x+42
Group like terms
1x-7x=42
-6x=42(Divide both sides by -6)
x= -7 (We have -7 because 42 can be divided by 6 7 times)
Express the following
ratio in its simplest
terms: 4 weeks 6 days
Answer:
it would be 2/3............
Answer:
=4:6
4
6
=2
3
2:3
Step-by-step explanation:
Hope this helps
Pls mark me the brainliest
The ______ identity is 1.
Answer:
I believe its ,multiplication
Step-by-step explanation:
because any number you multiply be one is one
mark brainliest if correct please
Answer:
multiplication
Step-by-step explanation:
Cause of Peter griffen
question: what is the relationship between measures of angle 1 and angle 2
pls help need answer fast
Answer:
C.
Step-by-step explanation:
m1 is greater than m2 because the angle is larger
An accountant who is currently earning $42,380 annually expects a 6.5% raise. What is the amount of the
expected raise?
Answer:
$2754.70
Step-by-step explanation:
Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helping her aunt clean her store.
How many hours did she work at the fastest food restaurant? How many hours did she help her aunt clean the store? In your response make sure to:
Create a model that can be used to determine the number of hours Kara worked at each job.
Define your variables.
Show all your work.
Answer:
First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x
10.50x + 4.25(16-x) =136.75
10.50x + 68 - 4.25x= 136.75
Then, you subtract 68 from both sides and subtract 4.25x from 10.50x
6.25x=68.75
Divide
X=11 that is how many hours she worked at the FAST FOOD RESTAURANT
Then 16-11 and that gives us how many hours she helped her aunt.
ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt
Step-by-step explanation:
Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.
The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in her aunt's store is; 5hours.First, we need to create a model for the work done and how much she earned.
Total earnings = $136.75Total hours worked = 16 hoursLet hours worked at the restaurant = xLet hours worked at the store = (16-x)Hourly rate at restaurant = $10.50Hourly rate at store = $4.25The model is therefore in the form;
$10.50(x) + $4.25(16-x) = $136.75
To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.
Therefore;
10.50x + 68 - 4.25x = 136.756.25x = 68.75x = 11
The number of hours worked by Kara in the restaurant is; 11hours.
The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.
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Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. A sample of 100 items is drawn from this population. What is the standard error of the mean?
Answer:
We are given:
μ=180,σ=25,n=100
Therefore the standard error of the mean is
2.5
Step-by-step explanation:
Write an equation in point-slope form and slope-intercept form for the line.
passes through (6, -6), slope = 5
Answer:
y = 5- 36
Step-by-step explanation:
6 is the x
-6 is the y
y=mx+b
so m times x, m is the slope
5 times 6 is 30
-6=30+b
so -36
y=5x-36
SORRY IF IM WRONG I TRIED
reflection across y= -x
Answer:
option A) is correct.
Step-by-step explanation:
As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.
So the formula about the reflection across [tex]y=-x[/tex] will be:
(x, y) ⇒ (-y, -x)
From the graph, the vertices of the triangle are:
Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:
(x, y) ⇒ (-y, -x)
U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)So, the vertices of U', T' and V' will be:
U' (2, 5) T' (3, 3) V' (5, 5)Therefore, option A) is correct.
Who can help me with this for algebra 2
Twenty five more than twice a number is fifty five. What is the number?
25 + 2x = 55
2x = 30
x = 15
The number is 15
Answer:
Step-by-step explanation:
If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55
Salim walked113miles to school and then212miles to work after school. How far did he walk in all? 316 miles 325 miles 345 miles 356 miles
Answer:
Total distance traveled = 1/3 + 1/2 = 2+3/6 = 5/6 miles
Hope this helps!
Step-by-step explanation:
A deep ocean trench is 30,000 feet deep How deep is that in miles? Round your answer to two decimal places. (There are 5,280 feet in a mile.)
If a mile =5,208 ft that means you need to divide 30,000÷5,280 to get your answer!
Step-by-step explanation:
30,000÷5,280= 5.68mil
What's 2|–9| – |–2|?
A. 16
B. 20
C. -20
D. -18
Answer:
2|–9| – |–2|
= 2(+9) -( +2)
= 2(+9) - 2
= 16
Answer is option A.
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Units of Length
Write a conversion factor that you would use to convert
from feet to meters.
Customary System
Units
Metric System Units
new units of measure
original units of measure
1 inch
2.54 centimeters
numerator =
1 foot
0.3048 meters
denominator =
1 mile
1.61 kilometers
Intro
Done
Answer:
1 foot = 0.3048 meters
Step-by-step explanation:
1 foot = 12 inches
1 inch = 2.54 centimeters
1 foot = 12 * 2.54 = 30.48 centimeters
1 meter = 0.01 centimeters
1 foot = 0.3048 meters
Answer:
numerator =
✔ 0.3048 meters
denominator =
✔ 1 foot
Step-by-step explanation: I got it right
i need helppp!!
worth 10 points
Answer:
I think that it is 120 but not sure
Step-by-step explanation:
sorry if wrong
What is the surface area of a rectangular prism that measures 10 in x 6 in x 4 in?
Answer: 240 in
Step-by-step explanation: 10 x 6 x 4 = 240 in
I hope that helps
25 pounds of recyclable trash is % ? Of the barrel of 51 pounds of trash
Step-by-step explanation:
25÷100 as it is percentage and any thing percentage is ÷by 100. 25÷100×51=12.75
estion Determine the vertical asymptote(s) of the function. If none exists, state that fact. x + 3 f(x) – 10x²+ + 21x Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one vertical asymptote, (Type an equation.) and the rightmost asymptote is OB. The function has two vertical asymptotes. The leftmost asymptote is (Type equations.) O C. The function has three vertical asymptotes. The leftmost asymptote is (Type equations.) OD. The function has no vertical asymptotes. the middle asymptote is and the rightmost asymptote is
Answer:
C.
Step-by-step explanation:
I believe it is C.