Answer:
-i
Explanation:
Just divide that power by 4
99/4 you get 24.75
multiply the whole part 24 by 4
and then multiply 0.75 by 4
In the end, you get
[tex](i^{4})^{24}*i^{3}[/tex]
[tex]i^{4} = 1[/tex]
[tex]i^{3} = -i[/tex]
So, the answer is -i
[tex]5 \div 2 \sqrt{2} [/tex]
no decimals allowed
Answer:
[tex] \frac{5}{2 \sqrt{2} } \\ = \frac{5}{ 2 \sqrt{2} } \times \frac{2 \sqrt{2} }{2 \sqrt{2} } \\ = \frac{5(2 \sqrt{2}) }{(2 \sqrt{2} )(2 \sqrt{2}) } \\ = \frac{10 \sqrt{2} }{(2 \sqrt{2} {)}^{2} } \\ = \frac{10 \sqrt{2} }{4 \sqrt{( {2)}^{2} } } \\ = \frac{10 \sqrt{2} }{4 \sqrt{2 \times 2} } \\ = \frac{10 \sqrt{2} }{4(2)} \\ = \frac{ \cancel{10} \sqrt{2} }{ \cancel8} \\ = \frac{5 \sqrt{2} }{4} answer.[/tex]
When we rationalise the expression 5 / 2√2, the result obtained is 5√2 / 4
Surd operationa / √b = (a / √b) × (√b / √b)
How to rationalise the expression 5 / 2√2Expression = 5 / 2√2Rationalisation =?5 / 2√2 = (5 / 2√2) × (√2 / √2)
Clear bracket
5 / 2√2 = 5√2 / (2×2)
Simplify
5 / 2√2 = 5√2 / 4
Thus, we can conclude that the value of 5 / 2√2 is equivalent to 5√2 / 4
Learn more about surd:
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To make a cleaning solution, George mixes 3 cups of water to 4 drops of cleaner. Which table best represents the ratio of the cleaning solution?
Answer:
B
Step-by-step explanation:
Help me please find the area of the rectangle.recall that area=length . Width
Answer:
1/35 sq. ft.
Step-by-step explanation:
Area = 3/35 x 1/3
= 1/35 sq. ft.
Hope it helps.
;)
Answer:
Step-by-step explanation:
lxw
=0.02857142857 foot
A triangle has one side measuring 16 inches and two sides measuring 13 inches. Is this triangle scalene?
yes
no
No, because a scalene triangle has to have all sides that are different lengths. 2 sides being 13 inches would mean that the triangle has 2 sides that are equal, making it an isosceles triangle.
Answer:
no
Step-by-step explanation:
A triangle is scalene when its sides have three different lengths. Your triangle has two sides with the same measure, so it is isosceles, not scalene.
8^6 divided by 8 simplified?? :)
Given: 8^6/8
Answer:32768
Step by step explanation:
To find we must use, PEMDAS, order of operations. (Parenthesis, exponents, multiplication, division, addition, and subtraction.Since we have no parenthesis we do exponents firstSince we are dividing we do 8^6-1 divided by 8The value of 8^6 is 262144Now we divide 252144 by 8 which gives us 32768Therefore, our answer is 32768#LearningIsFun
Rewrite the expression by factoring out (y+8).
5(y+8) - 7y (y + 8)
0
X
5
Answer:
[tex](5-7y)(y+8)[/tex]
Step-by-step explanation:
Factoring out y + 8:
[tex]5(y+8) - 7y (y + 8)=(5-7y)(y+8)[/tex]
Find cos (B) in the triangle
We can identify the sides of a right triangle by describing their location in relation to a given angle.
The "hypotenuse" is the longest side of a right triangle. It is opposite the right angle.The "opposite" is the side that the angle does not touch.The "adjacent" is the side that the angle does touch, that is not the hypotenuse.There are three basic trigonometric ratios:
The sine ratio: [tex]\sin\theta=\dfrac{opposite}{hypotenuse}[/tex]The cosine ratio: [tex]\cos\theta=\dfrac{adjacent}{hypotenuse}[/tex]The tangent ratio: [tex]\tan\theta=\dfrac{opposite}{adjacent}[/tex]We use theta (θ) to represent an angle.
Solving the QuestionWe are asked to find [tex]\cos(\beta)[/tex] in the triangle.
[tex]\cos\theta=\dfrac{adjacent}{hypotenuse}[/tex]
The side adjacent to β measures 8 units.
The hypotenuse of the right triangle measures 17 units.
[tex]\cos\beta=\dfrac{8}{17}[/tex]
AnswerTherefore, [tex]\cos\beta=\dfrac{8}{17}[/tex].
29. Determine the value of x.
abc
X + 42°
147°
2x
Answer:
x=35
Step-by-step explanation:
180-147=33 (angles in a straight line)
33+3x+42=180 (angles in a triangle)
3x+42=147
147-42=105
105/3=35
Ally is buying a speed boat for $10,000 with a down payment of $2,500. The bank approved a simple interest flat rate loan for 5 years at 7% APR. How much are the monthly loan payments? (round to the nearest cent)
A) $157.50
B) $168.75
C) $180.00
D) $191.25
Answer B. $168.75
Step-by-step explanation:
I took the test and I got it correct and I will tell you guys the other answers if you have these same questions.
1) Scott invests $1000 at a bank that offers 6% compounded annually. Write an equation to model the growth of the investment.
Answer: D) A = 1000(1.06)t
2) Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4.3%.
Answer: B) $2571.67
3) Owen has a loan for $3700 at a rate of 5% annually. If the interest is not compounded, what is the total amount of repayment if the loan is for 7 years?
Answer: D) $4995.00
4) Davis puts $5,000 each year in an account that earns 5% annual interest, compounded annually. His brother Mike puts $5,000 each year in a safe in his bedroom. After the first 10 years of doing this, how much more money does Davis have than Mike? Round your answer to the nearest dollar.
Answer: A) $20,524
5) Ally is buying a speed boat for $10,000 with a down payment of $2,500. The bank approved a simple interest flat rate loan for 5 years at 7% APR. How much are the monthly loan payments? (round to the nearest cent)
Answer: B) $168.75
The monthly loan payments should be [tex]\$168.75[/tex].
Option B is correct.
Simple interest :Given that, Ally is buying a speed boat for $10,000 with a down payment of $2,500.
Remaining amount Ally have to pay,
[tex]=10000-2500=7500[/tex]
Rate of interest [tex]r=7\%[/tex] , time [tex]t=5[/tex] years and Principal [tex]P=7500[/tex]
Simple interest, [tex]S.I=\frac{P*r*t}{100}[/tex]
[tex]S.I=\frac{7500*7*5}{100} \\\\S.I=2625[/tex]
In 5 years, Ally have to pay,
[tex]=7500+2625=10125[/tex]
In one month, Ally have to pay [tex]=\frac{10125}{60}=\$168.75[/tex]
Learn more about the simple interest here:
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If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. find the area of the original square.
Answer: Shown below
Step-by-step explanation:
Since it's a square, we will refer to its values as x. Using that, we can make an equation for the rectangle.
(x + 15) * ( x - 13) = 60
We can expand it and simplify so that we get a zero on one side and a polynomial on the other.
(x + 15)(x - 13) - 60 = 0
x² + 2x - 225 = 0
We simplify the binomial so we get two answers for x.
(x - 15)(x + 17) = 0
x = 15 and -17
Now we have two answers. So which one is right? Well, the sides cannot be negative, therefore we must use 15 and not -17.
15² = 225
Our answer is 225
How many degrees are in an angle that turns through 3/4 of a circle
Answer:
270°
Step-by-step explanation:
360/4 = 90
90*3 = 270
Convert 74.8% to a fraction in simplest form and a decimal.
Fraction:
Decimal (Edit the repeating and non-repeating part):
Answer:
decimal; 0.748 fraction is: 374/5 or 74 4/5 .
what is the inequality shown
Answer:
one has (_) and another has (+)
evaluate the equation 3w = 96
A. w = 288
B. w = 32
C. w = -32
D. w = -288
Answer:
The choice B. w = 32
Step-by-step explanation:
[tex]3w = 96 \\ \\ w = \frac{96}{3} \\ \\ w = \frac{96 \div 3}{3 \div 3} \\ \\ w = 32[/tex]
Answer:
[tex]\huge\boxed{\sf{32}}[/tex]
Step-by-step explanation:
Hello.
In order to solve this equation, we need to divide both sides by 3:
3w=96
w=32
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Please help! I really need help!!
Factor: 12x^2 + 14x + 12 = 18
Show work
Answer:
2(3x -1)(2x +3) = 0
Step-by-step explanation:
A graphing calculator can often provide useful help in discovering the real factors of polynomials.
We presume you want to factor the standard form equation ...
12x^2 +14x -6 = 0 . . . . . subtract 18 from both sides
2(6x^2 +7x -3) = 0 . . . . factor out the common factor
2(6x^2 +9x -2x -3) = 0 . . . . split the middle term to aid factoring
2(3x(2x +3) -1(2x +3)) = 0 . . . . factor pairs of terms
2(3x -1)(2x +3) = 0 . . . . . factored standard form equation
_____
Additional comments
The calculator graph shows the zeros are rational and have values -3/2 and 1/3. A zero of x=p means (x -p) is a factor. Translated to factors without fractions, these would be ...
(x +3/2) ⇒ (2x +3) and (x -1/3) ⇒ (3x -1)
The only remaining job is to find the additional factor that makes the leading coefficient be 12 instead of (2)(3) = 6.
__
When factoring 6x^2 +7x -3, we're looking for two numbers that have a sum of +7 and a product of (6)(-3) = -18. The factors we need are 9 and -2, which are the values we use when we split the middle term: 7x ⇒ 9x -2x.
We choose to do the factoring this way because it is straightforward and relatively easy to explain. There are other methods used when the leading coefficient is not 1, but they can be more difficult to explain.
Find the area of the composite figure
10
18
2
2
Answer
720
Step-by-step explanation:
10 x 18 = 180
2 x 2 = 4
180 x 4 = 720
your father give you a plot for your god in which is 25 square meter and after awake you have planned only the 17 square meter of it what percentage of the plot is left to be plant
[tex]\frac{25-17}{25}[/tex]×[tex]100%[/tex]%
[tex]=32[/tex]%
∴ 32% is left to be plant.
If a data value is 2 and the mean is 11, what is the associated
deviation?
Answer:
the mean = 9, and the mean deviation = 3.75
Hope this helps! :)
The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description. Drag the equation to the box to match the description. A cube has a volume of 729 in³.
Answer:
side measure = 9 in
Step-by-step explanation:
volume of a cube: [tex]V=s^3[/tex]
where V is the volume and s is one side of the cube
Given volume = 729 in³
[tex]\implies s^3=729[/tex]
[tex]\implies s=\sqrt[3]{729}[/tex]
[tex]\implies s=9 \ \textsf{in}[/tex]
Answer:
9
Step-by-step explanation:
Please please please help me out
Answer:
D) 9:20 am
Step-by-step explanation:
Train A's route = 20 mins
Train B's route = 80 mins
80 ÷ 20 = 4
Therefore, Train B's route is 4 times the length of Train A's route.
Therefore, the time Train A and B will leave the station at the same time will be the first time Train B leaves after 8am.
1 hour = 60 minutes
8am + 80 minutes = 8am + 1 hr + 20 minutes = 9:20 am
Need help please my head is about to explode I am go at read not math
Answer:
290 ml
Step-by-step explanation:
convert 0.4 litres to ml then divide by 5 then subtract 22.
multiply the answer with 5
22+x≤40 what is the solution
Answer:
x ≤ 18
Step-by-step explanation:
Solve:
22 + x ≤ 40x ≤ 18Simply keep the sign given and move terms around to have x on one side
-Chetan K
At a pizza place, a large pizza cost $7.50 and toppings cost $0.50 each. Write an equation the can be used to represent the cost of a pizza, y, which x toppings.
Answer:
y = 7.50 + 0.50x
Step-by-step explanation:
y is equal to money cost for pizza, 7.50 is the large pizza, and 0.50x is the cost per topping on the pizza.
Which tactics did the Bourbon Democrats use to remain in power?.
Can anyone help me with this please
Answer:
A. The solution to a system of equations is when the values of x are the same for both equations and if the y-values also match. With this being said, if x and y are the same in both equations, then that is the solution of the system of equations. We can use the table to find when x and y are equal in both equations to find the solution
B. ( 2.5 , 6 )
If you have any questions, let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
mr.rogers bought a computer that cost 2,500. the sales tax rate was 7% how much did he pay for the computer
Answer:
it's answered...............
Which is the greatest
Answer:
0.78
Step-by-step explanation:
To know which one is the greatest, convert all of them into decimals.
3/4 is the same as 0.75
50% is the same as 0.50
0.78 doesn't needs to be changed
We now have 0.75, 0.50 and 0.78.
Out of all these numbers, 0.78 is the greatest number.
Hope this helps.
was the area and the circumference of a circle with the radius of 5 cm and the value of 3.14 and the answer would do not round answer
Answer:
circumference=2πr
2×3.14×5
10×3.14
=31.4cm
Answer: Area=78.54
circumference=31.42
Step-by-step explanation:
what is the place value of the digit 2 in 782,310
The place value of the digit 2 in 782,310 is the one thousands place.
Hope this helps.
Answer:
The number 2 is in the units of thousands and has a value of 2000 as a number.
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I hope help you :)
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Can anyone help me please, I will mark brainliest to the right answer
Answer:
A
Step-by-step explanation:
First 4 sets of (x, y) show that when x increases 2, y increases 3. It seems the relationship is linear. But last 2 set show that x increases 1, y increases 3. So the relation is NOT linear
