[tex]\\ \rm\longmapsto i^{78}[/tex]
Divide 78 by 4[tex]\\ \rm\longmapsto \dfrac{78}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{39}{2}[/tex]
[tex]\\ \rm\longmapsto 19\dfrac{1}{2}[/tex]
Now
remainder is 2
[tex]\\ \rm\longmapsto i^2[/tex]
[tex]\\ \rm\longmapsto (\sqrt{-1})^2[/tex]
[tex]\\ \rm\longmapsto -1[/tex]
Hence
[tex]\\ \rm\longmapsto i^{78}=-1[/tex]
Please help
Solve the equation.
Give your simplified answer as an improper fraction.
7(x + 1) = 1 – 2(5 – x)
? ]
W
Answer:
-16/5
Step-by-step explanation:
7(x+1)=1-2(5-x)
7x+7=1-10+2x
7x-2x=1-10-7
5x = -16
x = -16/5
Answer: [tex]\huge {x = -\frac{16}{5} }[/tex]
Step-by-step explanation:
Given equation
7 (x + 1) = 1 - 2 (5 - x)
Expand parentheses and apply the distributive property
7x + 7 = 1 - 10 + 2x
Combine like terms
7x + 7 = -9 + 2x
Subtract 2x on both sides
7x + 7 - 2x = -9 + 2x - 2x
5x + 7 = -9
Subtract 7 on both sides
5x + 7 - 7 = -9 - 7
5x = -16
Divide 5 on both sides
5x / 5 = -16 / 5
[tex]\boxed{x=-\frac{16}{5} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Write a function rulle
Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.
First hour: $10
Second hour: $16
Third hour: $22
Fourth hour: $28
So, final answer is:
+1 hour=+$6.
Anyways, I hope this helps! Enjoy your day! Take care!
It took Emma 3/4 hour to rake the leaves. It took her 1/5 hour more to
weed the garden than it took to rake the leaves. It took her 0.2 hour
more to mow the lawn than it took to weed the garden. Discuss a
strategy you can use to find the answer. Then determine how long it
took her to do all three chores.
9514 1404 393
Answer:
total: 2.85 hours = 2 17/20 hours
Step-by-step explanation:
Strategy: convert all fractions to decimals, determine weeding and mowing times, and add the three times to find the total.
3/4 = 0.75
1/5 = 0.2
Solution:
raking time: 0.75 hours
weeding time: 0.75 +0.2 = 0.95 hours
mowing time: 0.95 +0.2 = 1.15 hours
__
Total time: 0.75 +0.95 +1.15 = 2.85 hours = 2 17/20 hours
_____
Additional comment
You may recognize that 0.95 is the middle of three equally-spaced values. Then the total will be 3×0.95 = 2.85 hours.
Help mee plsssssssdds
Answer:
No Inez is not correct.
Step-by-step explanation:
[tex]\frac{1}{3} > \frac{1}{5}[/tex] (1/3 is greater than 1/5)
A straw is placed inside a rectangular box that is 6 inches by 8 inches by 5 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in the simplest radical form.
For what values of k will the equation 4x² + 8x + k = 0 have two real solutions?
Answer:
k < 4
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the solutions.
• If b² - 4ac > 0 then 2 real and distinct solutions
• If b² - 4ac = 0 then 1 real and repeated solution
• If b² - 4ac < 0 then no real solutions
4x² + 8x + k = 0 ← is in standard form
with a = 4, b = 8 , c = k , then
b² - 4ac = 8² - (4 × 4 × k) = 64 - 16k
For two real solutions
64 - 16k > 0 ( subtract 64 from both sides )
- 16k > - 64
Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.
k < 4
Then any value less than 4 will ensure the equation has two real solutions
A: What is the perimeter of HOUSE?
perimeter of HOUSE =
(round to the nearest hundredth - two decimal places)
B: What is the length of OH?
(round to the nearest thousandth - three decimal places)
C: What is the midpoint of OU?
D: Which is longer, OH or EH?
E: What is the perimeter of the triangle HOU?
perimeter of triangle HOU
(round to the nearest hundredth - two decimal points)
First calculate distances or lengths(Refer to attachment)
A:-[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]
[tex]\\ \sf\longmapsto 15+29[/tex]
[tex]\\ \sf\longmapsto 44[/tex]
B:-Refer to the attchment
C:-[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]
D:-EH>OH
E:-[tex]\\ \sf\longmapsto Perimeter[/tex]
[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]
[tex]\\ \sf\longmapsto 24[/tex]
Write the complete answer on each line
1. If a is a subset to B and B is the subset of A, what Else is true about sets A and B
2. List all of the the subsets of {a,b,c}
3. How many subsets are there of {a,b,c,d,e,f}
Answer:
Step-by-step explanation:
1. If A is a subset of B and B is a subset of A then A and B must be equal.
2. The subsets of {a,b,c} are
{ } (emptyset}, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}
3} Since {a,b,c,d,e,f} has 6 elements then there are [tex]2^6[/tex] subsets.
[tex] {x}^{4} - 16 = [/tex]
What is the answer and steps
Answer:
[tex](x - 2) \times (x + 2) \times ( {x}^{2} + 4)[/tex]
Step-by-step explanation:
[tex] {x}^{4} - 16[/tex]
➡️ [tex] {x}^{2 \times 2} - 16[/tex]
➡️ [tex] {x}^{2 \times 2} - {4}^{2} [/tex]
➡️ [tex]( {x}^{2} {)}^{2} - {4}^{2} [/tex]
➡️ [tex]( {x}^{2} - 4) \times ( {x}^{2} + 4)[/tex]
➡️ [tex](x - 2) \times (x + 2) \times ( {x}^{2} + 4)[/tex]
You’re help Is greatly appreciated!! I will mark BRAINLIEST as well
Answer:
1. -4/7
2. 4/3
3. x^2 + 16x + 63
4. x^2 + 19x + 90
Step-by-step explanation:
1. (1, 8) and (8, 4)
slope = m = (8 - 4)/(1 - 8) = -4/7
2. (2, 4) and (5, 8)
slope = m = (8 - 4)/(5 - 2) = 4/3
3. (x + 9)(x + 7) =
= x^2 + 7x + 9x + 63
= x^2 + 16x + 63
4. (x + 10)(x + 9) =
= x^2 + 9x + 10x + 90
= x^2 + 19x + 90
Can someone pls help me pls
Answer:
your fractions will go in order of 1/4, 2/5, 5/8, 4/6
Step-by-step explanation:
a. 2/5 < 1/2 and 4/6 > 1/2 so 2/5 < 4/6
b. 5/8 > 1/2 and 1/4 < 1/2 so 5/8 > 1/4
c. 4/6 > 1/2 and 4/6 < 2/2 and 5/8 > 1/2 and 5/8 < 2/2 and 5/8 ?? cannot see this
What is the measure of 2x?
Answer:
130 °
....................
Hi! I'm happy to help!
To solve this, we need to first solve for x.
The total of all the interior angles in a quadrilateral (closed, not curved, shape with 4 sides) is 360°. So, we can single out the xs by subtracting the other angles.
360-89
271
271-76
195
Now that we know that, without the other two angles, the quadrilateral is worth 195. The only 2 angles left have x in them. Since there are 3 xs, we can use this to find out our x.
3x=195
Now, divide both sides by 3.
x=65
Now that we have the value of x, the measure of 2x will just be double that.
65×2
130
The measure of 2x is 130°
I hope this was helpful, keep learning! :D
Which of the following correctly uses exponents to write "6 factors of 2"?
26
6.2
12
62
Answer:
A. 26
Step-by-step explanation:
The base number (the first number) is what will be multiplied and the exponent is how many times you're multiplying the number, so for this it would be
2 x 2 x 2 x 2 x 2 x 2
Assume that when adults with smartphones are randomly selected , 44% use them in meetings or classes. If 8 adult smartphone users are randomly selected , find the probability that exactly 3 of them use their smartphone in meetings or classes
Answer:
you just answered your own question
Nora has a flower arrangement with 7 pink flowers, 9 purple
flowers, and 5 white flowers. Which sentence is not true?
The ratio of total flowers to pink flowers is 21: 7
The ratio of white
flowers to purple flowers is 5:9.
The ratio of purple flowers to total flowers is 16 to 21.
Answer:
The ratio of purple flowers to total flowers is 16 to 21 is NOT TRUE because your total is already 21 so it would make no sense for 16 to be in the ratio
5 1/6•(-2/5)=
Answer as a fraction
What is 48% of 159 express your answer rounded correctly to one decimal place
Answer:
.48 * 159 = 76.32
Step-by-step explanation:
What is the LCM for 18,24
Answer:
I think the LCM is 72 for 18 and 24
Answer:
hope it helps you........
5.6 write each decimal as a fraction or a mixed number
Answer:
28/5
plsss mark me brainliestt
Step-by-step explanation:
5.6=56/10
28/5
Perimeter cm, area square cm
Step-by-step explanation:
[tex]perimeter = 2(l + b) = \\ 2(15 + 8) = 2(23) = 46cm \\ area = lb \\ 15 \times 8 = 120 {cm}^{2} \\ thank \: you[/tex]
Reading - Word - Level 1
Vocabulary
Page 21
*
Safety is the number one priority at our trampoline parks.
That's why every session is supervised by our trained staff.
However, we cannot do it alone. We ask that parents and
guardians make sure their children follow our rules.
Informative
Persuasive
Answer:
crisp, clean, formal, readable
Step-by-step explanation:
uhhhhh help lol find angle
Answer:
129°
Step-by-step explanation:
51+51 =102
360-102=258
258÷2=129
:)
How do you determine if the numbers are positive or negative?
Answer:
Positive integers have values greater than zero.
Negative integers have values less than zero.
Zero is neither positive nor negative.
Step-by-step explanation:
Answer: if they have got - before them or if the say negative
Step-by-step explanation:
The perimeter of a triangle is 143cm, The sides are x-6, x-6, and 25. Find the length of each side of the triangle
Answer:
12
Step-by-step explanation:
SOLUTION:
In a right triangle, the sum of the squares of the
lengths of the legs is equal to the square of the length
of the hypotenuse. The length of the hypotenuse is 13
and the lengths of the legs are 5 and x.
Translate into a variable expression. y decreased by 30
Answer:
y-30
Step-by-step explanation:
If y is decreased by 30, then you are saying y-30.
could someone pleaseeeeee help
whyyyyyyyyyyyyyyyyyy
whyyyyyyy
Thajus earned $19 babysitting on Saturday and $8 babysitting on Sunday. By how much did his earnings on
Saturday exceed his earnings on Sunday?
O $1
O $11
O $27
O $30
Answer:
11
Step-by-step explanation:
exceed mean how much and the question is asking how much did he get more so yust 19 -8=11
y link
MIT
MULTIPLE CHOICE QUESTION
Is the following statement, True or False?
lf this same substance were cooling, the
freezing point, or moment when the
substance begins to freeze would happen
at 25 degrees Celsius.
Answer:
False False False because freezing point is 100 degree celsius
Hello I need help in my math
12: {x,y,z} ? {a,b,c} is it equal or not?
13: {0} ? { } equal or not?
Please help no spam no links I need help mark brainliest!!
12: Equal, because the cardinal number of {x,y,z} are same as {a,b,c}, that is, 3.
13: Not equal, because in set {0}, there is one element , while in set { } , there are no elements at all .
Hope it helps you. Have a nice day!
(by Benjemin)
calculate the amount that would remain in an investment account after 3 years if you were to deposit 1500 every month starting today but would withdraw 750 at the end of every 12 month period. interest is 14% compounded monthly
Answer:
58995
Step-by-step explanation: