Simplify the expression below as much as possible.
(8 + 9i) + (5 - 91) - (8 - 7i)
Answer:
B. 5 + 7i
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsAlgebra II
Complex Standard Form: a + biImaginary NumbersStep-by-step explanation:
Step 1: Define expression
(8 + 9i) + (5 - 9i) - (8 - 7i)
Step 2: Simplify
Distribute negative: 8 + 9i + 5 - 9i - 8 + 7iCombine like terms: 5 + 7iWhich statements are true?
–1.3 is less than Two-fifths.
1.5 is less than –0.2.
Two-fifths is greater than –0.2.
Negative one-fourth is less than –0.2.
1.5 is greater than Two-fifths.
Answer:
A, C, D and E
Step-by-step explanation:
Hope it helps :D
Answer:
A,C,D and E
Step-by-step explanation:
If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.3 minutes and a standard deviation of 1 minute, find the point in the distribution in which greater than 75.8% of the college students in trying to find a parking spot in the library parking lot.
A. 2.6 minutes
B.2.8 minutes
C.3.2 minutes
D.4.2 minutes
Answer:
i believe its c
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
Harry rides his bike 25 miles Karen rides her bike 25 miles Who rides farther?
you wrote ehte question wrong
HELP Calc Multiple Choice 25 POINTS
Answer:
C
Step-by-step explanation:
[tex]f'(x)=g(x) * (x^2-4)\\0=g(x)*(x^2-4)\\x={-2,2}\\f(-4) = -\\f(-2) = 0 \\f(0) = +\\f(2) = 0 \\f(4)= -\\\\[/tex]
It decreases from negative infinity to -2, then increases, so x=-2 is a rel. min.
It increases from x=-2 to x=2, then decreases to infinity, so x=2 is a rel. max.
Need ASAP pls pls can you show your work
The fifth-grade students in Miguel’s school formed 3 teams to raise money for the Penny Harvest fundraiser. Team A raised $65.45. Team B raised 3 times as much as Team A. Team C raised $20.15 more than Team B. How much money did Team C raise?
The LMC of 6 and 7 is
Answer:
6, 12, 18, 24, 30, 36. 42, 46, 52, 58, 64,
7, 14, 21, 29, 36
Your answer is 36.
Step-by-step explanation:
LCM means the multiple which the two numbers share with the least value. So, I just found the multiples of each number until I found the one which was common. If you would like me to explain this in more depth, tell me! I'd be glad to help.
Expression A: 3(x + 2) Expression B: 3x + 6....... Which statement does not show that these expressions are equivalent? O A. Substituting any value of x makes the expressions equivalent B. The expressions name the same number regardless of the value of x. O C. Both expressions involve addition. O D. 3(x+2) can be rewritten as 3x + 6 using the distributive property. SUBMIT E PREVIOUS
Answer:
D. 3(x+2) can be rewritten as 3x + 6 using the distributive property
Step-by-step explanation:
Given
[tex]3(x + 2) = 3x + 6[/tex]
Required
Explain
From the list of given options, option D answers the question.
This is because, the expression above involves distributive property and only option D correctly states that.
A distributive property is:
[tex]a*(b + c) = a*b + a * c[/tex]
In this case:
[tex]a = 3[/tex] [tex]b = x[/tex] and [tex]c = 2[/tex]
So:
[tex]a*(b + c) = a*b + a * c[/tex]
Substitute values for a, b and c
[tex]3*(x + 2) = 3 * x + 3 * 2[/tex]
[tex]3(x + 2) = 3x + 6[/tex]
Answer:
C. Both expressions involve addition.
Step-by-step explanation:
I tried it, and it was correct
In a-d, choose whether the fraction and percent are equivalent.
50/33 and 117% yes or no (HURRY UP)
Answer: no
Step-by-step explanation:
117% equals 1.17 and 50/33 equals 1.51 repeating so they aren’t equal.
John is eating out with friends, and it is his turn to pay gratuity. The bill for the food is $48.53. If he plans to tip 20%, what should the tip be?
Answer:
$9.76
Step-by-step explanation:
20% is 1/5 of the bill. The answer is 48.53 +( 48.53*1/5) which is 9.76 so the $9.76
Plz mark brainliest if correct!
Hope this helps
Answer:
Step-by-step explanation: well you can just plug it into a calculator.
the answer is 9.706 or 9.7 if you simplify it and if you are rounding to the nearest tenth then its 10.
hope this helps!
A savings bond currently made Jamar $2,112.64 worth of interest in 7 years. If the investment gained 5.5% annual simple interest each year, approximately how much was the bond originally bought for?
Answer:
$5487.38
Step-by-step explanation:
Given that:
Interest currently made = $2112.64
Time = 7 years
Rate of interest = 5.5% annual
To find:
The price for which the bond was originally bought ?
Solution:
We need to find nothing but the principal amount.
First of all, let us have a look at the formula for Simple Interest.
[tex]Simple\ Interest = \dfrac{PRT}{100}[/tex]
Where [tex]P[/tex] is the principal amount
[tex]R[/tex] is the Rate of Interest
[tex]T[/tex] is the time for which the investment is made
Let us put the given values in the formula:
[tex]2112.64 = \dfrac{P\times 5.5\times 7}{100}\\\Rightarrow P =\dfrac{2112.64\times 100}{5.5\times 7}\\\Rightarrow P =\dfrac{211264}{38.5} \\\Rightarrow \bold{P =\$5487.38}[/tex]
PLEASE HELP ME ASAP
Which graph best represents the solution set of y > 3x - 4
Answer:
Step-by-step explanation:
THE MIDDLE ONE
Does the ratio 15/12 and 5/4 form a proportion?
Answer:
yes
Step-by-step explanation:
5 times 3 is 15 and 12 and 15 and 12 divided by 3 you will get 5/4
If XYZ is equilateral and WXY is isosceles, what is the measure of ∠WZY?
PLEASE HELP IT IS 3:30 AM
FIND THE EQUATION OF THE LINE
USE EXACT NUMBERS
y= ( )x + ( )
Answer:
The answer is y = -1/3x + 5 !
Step-by-step explanation:
If you observe the line, the y-intercept is 5, from the point in the graph (0,5). From that point, we can see that the rise over run is -1/3. Thus, y = -1/3x + 5.
In a survey of 468 registered voters, 152 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campaign claims that no more than 32% of registered voters wish to see her defeated. Does the 95% confidence interval for the proportion support this claim?
a. The reasonableness of the claim cannot be determined.
b. Yes
c. No
Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ± [tex]z\sqrt{\frac{p(1-p)}{n} }[/tex]
where
p is the sample proportion
n is sample size
z is z-score, in this case, as it is 95%, z-score=1.96
Calculating confidence interval:
[tex]p=\frac{152}{468}[/tex]
p = 0.3248
0.3248 ± [tex]1.96\sqrt{\frac{0.3248(0.6752)}{468} }[/tex]
0.3248 ± [tex]1.96\sqrt{0.000468}[/tex]
0.3248 ± 0.0425
Interval: 0.2823 < μ < 0.3673
The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.
A surveyor observes that point A is located on level ground 25 feet from a flag pole. The base of the flagpole represents point B. Approximate the height of the flagpole to the nearest tenth of a foot when the angle between the ground and the top of the flagpole is:______.(a) 30° (b) 38° (c) 45°
Answer:
Step-by-step explanation:
The set up will give a right angled triangle
Given
Distance of point A from the flagpole = 25feet
If angle of elevation is 30°
Required
Height of flagpole (opposite)
Using TOA
tan theta = opp/adj
tan30° = opp/25
opp = 25tan30°
opp = 14.4feet
Hence the height of flagpole when the angle of elevation is 30° is 14.4feet
If angle of elevation is 38°
Required
Height of flagpole (opposite)
Using TOA
tan theta = opp/adj
tan38° = opp/25
opp = 25tan38°
opp = 19.53feet
Hence the height of flagpole when the angle of elevation is 38° is 19.5feet
If angle of elevation is 45°
Required
Height of flagpole (opposite)
Using TOA
tan theta = opp/adj
tan45° = opp/25
opp = 25tan45°
opp = 25feet
Hence the height of flagpole when the angle of elevation is 45° is 25feet
An orange punch is 45% juice and a mango punch is 20% juice. By combining the two, a company is making 500 L of a fruit punch that is 40% juice. How many liters of orange punch are needed for the company’s concoction? Make sure to include units. PLEASE FAST. AND SHOW WORK
Answer:
400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
Step-by-step explanation:
Given that the orange punch has 45% juice and the mango punch has 20% juice, if you want to create a mixture of 500 liters of fruit punch that has 40% juice, to determine the percentage of punch of each fruit to be used, the following calculation must be performed:
45 x 1 + 20 x 0 = 45
45 x 0.9 + 20 x 0.1 = 42.5
45 x 0.8 + 20 x 0.2 = 40
Therefore, it takes 80% orange punch and 20% mango punch to create a mixture with 40% juice. Thus, since 500 x 0.8 equals 400, 400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
In solving the problem 7(2x - 4) + 7 = 0 what order are the steps?
A. Distributive property, inverse, simplify
B. Inverse, combine like terms, inverse
C. Distributive property, combine like terms, inverse, inverse, simplify
D. Combine like terms, inverse, distributive property, simplify
Use the inequality below to answer the question. 0.08 g + 0.2 < 5 Which set of values contain possible solutions for g?
Answer: g<22.5
Step-by-step explanation:
Isolate the variable by dividing each side by the factor that don’t contain the variable.
4 1/3 divided by 4/7
Answer:
The answer is 91/12 in exact form or 7 7/12 in mixed number form.
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...
Answer:
B.) 0.684 and 0.122
Step-by-step explanation:
A number that cannot be expressed as a ratio between two integers and is not an imaginary number. If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition. Pi and the square root of 2 (√2) are irrational numbers.
pi = 3.14159265359.....
e = 2.71828182845.....
Both are irrational
Please do question 5 im giving out brainlyist or something like that :)
I would say none
because each one equals to 24 students, when it says there are 24 students in each are class. so you would need to do 24 * 5 to get the amount of students.
Answer:
The second answer choice
Step-by-step explanation:
if you divided the total amount of people in all of the art classes by 5 you would get 24. Or you could think of it as multiplying by 5 on both sides which would give you "s" because it cancels out on the left side.
12. F(x) = 4x squared
Answer:
y-intercept: [tex]y=0[/tex]
axis of symmetry: [tex]x=0[/tex]
vertex: [tex](0,0)[/tex]
Step-by-step explanation:
To find the y-intercept, set x = 0 and solve for y.
I am assuming f(x) = y
[tex]y=4x^2[/tex]
[tex]y=4(0)^2[/tex]
[tex]y=0[/tex]
The y-intercept of the equation is y = 0.
Now, for the axis of symmetry, you need the equation [tex]x=\frac{-b}{2a}[/tex]
In an equation.. [tex]y=ax^2+bx+c[/tex]
In this case, there is only an a, so plug in the values into the equation.
[tex]x=\frac{0}{2(4)}[/tex]
[tex]x=0[/tex]
The axis of symmetry is x = 0.
To find the vertex, change the format of the equation from standard form to vertex form.
Vertex form: [tex]y=a(x-h)^2+k[/tex]
The vertex is [tex](h,k)[/tex]
[tex]y=4x^2 = 4(x+0)^2+0[/tex]
[tex](h,k)=(0,0)[/tex]
The vertex in this case is (0,0).
Graphing makes things a lot easier. If you can graph it, all you have to do is look at the graph and the answers are all there!
Hope this helped you!
if Sally has 10 apples and eats 2 how many does she have left
Answer:
8
Step-by-step explanation:
10 - 2 = 8
But then again it could be 10 because technically she still has the other two, it's just that they're in her stomach :)
Find the 9th term of the geometric sequence 9, 27, 81
Answer: 243
Step-by-step explanation:
It’s going up by the square roots of 3 so therefore the fourth term is 3 to the fourth power which is 243.
please answer i need help
Answer:
first answer is 9.84
Step-by-step explanation:
9.84 is the square root of 97, rounded to the nearest hundredth.
the legs measure 9 x 9 and 4 x 4 = 81 and 16.
81 + 16 = 97, so your answer is the square root of 27, which rounded to the nearest hundredth, equals 9.84. Rounding towards the nearest whole, 10 would be your best bet.
hope this helps!!
Please need help thank
Answer:
10
Step-by-step explanation:
Answer:
I think it’s 10:)
Step-by-step explanation:
HELP ME SOLVE THis Plz Solve last one plz
Answer:
the last one is 128.9
what is the inverse of
Answer:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{cc}-18&5\\-6&-2\end{array}\right][/tex]
Required
Determine the inverse
A matric is of the form:
[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
First, we need to calculate the determinant (D)
[tex]D = a * d - b * c[/tex]
By comparison, we have:
[tex]D = (-18 * -2) - (5 * -6)[/tex]
[tex]D = (36) - (-30)[/tex]
[tex]D = 36 +30[/tex]
[tex]D = 66[/tex]
The inverse is then represented as:
[tex]A^{-1} = \frac{1}{D} \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]
This gives:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]