Answer:
4784265
Step-by-step explanation:
(12+9⁷)+1284
12 + 4782969 + 1284
4784265
To resolve this issue first we have to remember the rules to resolve a numeric expression, see:
Power and RadiciationMultiplication and DivisionAddition Sum and Subtraction.[tex]\sf \left(12+9^7\right)+1284\\\\\\\sf =12+4782969\\\\\\\sf =4782981+1284\\\\\\\to \boxed{\sf 4784265}[/tex]
Okay?!Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters. If your answer includes a number that is not an integer type it as a decimal rounded to the nearest hundredth.
(3+4i)/(2-i)
simplifies to a+bi where:
A=
B=
9514 1404 393
Answer:
0.40+2.20i
Step-by-step explanation:
To clear the denominator of its imaginary part, multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{3+4i}{2-i}=\dfrac{(3+4i)(2+i)}{(2-i)(2+i)}=\dfrac{6-4+3i+8i}{4+1}=\dfrac{2+11i}{5}\\\\=\boxed{0.40+2.2i}[/tex]
_____
Additional comment
This "multiply by the conjugate" is also used to clear radicals from the denominator. It takes advantage of the factoring of the difference of squares:
(a -b)(a +b) = a² -b²
I would really like help
Answer:
[tex] \\ • \: \frac{1}{8} + (2 - 4 \times 7)[/tex]
[tex] \\ = \frac{1}{8} + (2 - 28)[/tex]
[tex] \\ = \frac{1}{8} + ( - 26)[/tex]
[tex] \\ = \frac{1}{8} - 26[/tex]
[tex] \\ = \frac{1 - 208}{8} [/tex]
[tex] \\ = \frac{ - 207}{8} [/tex]
[tex] \\ = - 25 \frac{7}{8} \: \: or \: \: - 25.875[/tex]
[tex] \\• \: 20 \times 3 - 7(8 \times 9)[/tex]
[tex] \\ = 20 \times 3 - 7 \times 72[/tex]
[tex] \\ = 60 - 504[/tex]
[tex] \\ = - 444[/tex]
[tex] \\ • \: 23 - ( \frac{4}{2} ) + 7 - 4[/tex]
[tex] \\ = 23 - 2 + 7 - 4[/tex]
[tex] \\ = 23 + 7 - 2 - 4[/tex]
[tex] \\ = 30 - 6[/tex]
[tex] \\ = 24[/tex]
[tex] \frak {\overbrace{\underbrace{{{hope \: it \: helps}}}}}[/tex]
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = X - 4
H(x) = =x
h(x) = x
Answer:
Can you pls give a bit more information.
Step-by-step explanation:
what is the number name of (i)46,25,689and (ii)658,902,250
Answer:
forty six hundred thousand tweny five thound and six hundred eighty nine
six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty
Step-by-step explanation:
[tex] \: \: \: \: \: \: [/tex]
plss help me po!!
what is the measure of OS if MO = 6, OE =4 and OR=3?
a. 13
b. 8
c. 7.5
d. 7
explain your answer
see the attachment
need properly answer
nonsense answer will be reported
excellent answer will get brainlist and follow
#nospam
#nolinks
[tex] \: \: \: \: \: \: \: [/tex]
Answer:
B. 8Step-by-step explanation:
Intersecting chords theorem:
OS * OR = OM * OESubstitute values and solve for OS:
OS * 3 = 6 * 43OS = 24OS = 24/3OS = 8Correct choice is B
BRAINLIEST
please help me finish these
Answer:
15. 41.68 inches
16. 78.79°
Step-by-step explanation:
It's a little hard to explain in just text, but I'll try.
15 ================
This is assuming that "length" means the base of the ramp, not the top. Imagine/draw a right triangle with a 21° angle at the bottom and a height of 16 inches. We have the angle, the opposite side, and we need to find the adjacent side that is the base. Use tangent (soh cah toa) to find this.
[tex]tan(21)=\frac{16}{x} \\xtan(21)=16\\x=\frac{16}{tan(21)}[/tex]
x ≈ 41.68
16 ================
From the angle between the ladder and the ground, the ground is adjacent and the ladder is the hypotenuse. Given 2 sides and no angle, we'll use inverse cosine.
[tex]cos^{-1}(\frac{7}{36})=x\\[/tex]
x ≈ 78.79°
can someone help me with these 3 pls?
Answer using seconds please!!!
Using my faucet, it takes 6 minutes to fill our water tank.
Using the neighbour’s hose, it takes 9 minutes.
How long would it take if I used both the faucet and the hose?
Answer:
900 seconds I believe
Step-by-step explanation:
60*6= 360
9*60=540
540+360=900
Jason swims at a constant speed of 5 feet per second and gets a 30 second head start over Frank. How fast must Frank swim in order to reach 300 yards at the same time that Jason does? Answer numerically in feet per second.
Answer:
6 ft/s
Hope I helped
2 questions for more a lot of points
Answer:
3 or 4
Step-by-step explanation:
Work out m and c for the line: 2 y + 6 x = 4
Answer:
m = -3
c = 2
Step-by-step explanation:
if m = slope and c = y-intercept:
Convert to slope - intercept form : y = mx + b, or y = mx + c
2y + 6x = 4
2y = -6x + 4
y = -3x + 2
(m)Slope = -3
(c)y - intercept = 2
-Chetan K
When 4 × 102 is divided by 2 × 10–2 the resulting quotient has 10 raised to the power of
Answer:
2038 that's a answer po because hindi kasali ang 10
The exponent is represented as [tex]A=2*10^{4}[/tex] where the resulting quotient has 10 raised to the power of 4.
Given data:
To perform the given division of [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex] , we can use the properties of exponents and arithmetic operations.
When dividing numbers with the same base (in this case, 10), we subtract the exponent in the denominator from the exponent in the numerator:
So, the exponent is represented as A.
The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.
Now, the value of [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex].
Now, simplify the exponent expression:
[tex]A=\frac{4*10^{2+2}}{2}[/tex]
[tex]A=2*10^{4}[/tex]
Hence, the exponential form is [tex]A=2*10^{4}[/tex].
To learn more about exponential form, refer:
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Please help I do not understand what to do or what the answer is
Answer:
Step-by-step explanation:
[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]
(1 , -3) & ( 1 , 0)
The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.
Slope is undefined.
3) (0,2) , (4 , 0)
[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
Help Please !! And thank you !!
Answer:
c
Step-by-step explanation:
Line EG bisects angle DEF
Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?
Step-by-step explanation:
kruitika- 42
Gordorn-31
so krutila was 11 when they gave birth to Gordon
she was 23 when they gave birth to pip
The youngest of them is pip so pip is =19
Simplify the expression. Write your answer in exponent form. (6^2*6^9/6^7)^5
Answer:
6^4
Step-by-step explanation:
6^2*6^9/6^7
6^(2+9)/6^7
6^(11-7)
6^4 or 1296
Please help I’ll give brainylist in return
Answer: its an enlargement and when it enlarges A goes up 6 and moves to the right 3 spaces P stays the same b also moves to the right 6 spaces
so in conclusion answers are
A'=(8,5)
B'=(-2,10)
Step-by-step explanation:
i hopes this helps if it doesn't I'm very sorry i tried helping the best i can :|
sand is falling off a conveyor in a conical pile at a constant rate of 2 cubic yards per minute. The height of the sand is equal to the radius of the pile of sand on the ground. If the cone-shaped pile is 3 feet tall now, how tall will it be in one hour?
The volume of a cone is (1/3)πr2h.
In this problem r=2h or h=(1/2)r
Hence V = (1/6)πr3
dV/dt = (1/2)πr2 dr/dt
With this information you should now be able to answer the question. Remember the relation between r and h!
never mind i was right
im also so sorry if you dont understand or its not one of the answers
Answer:
t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?
Step-by-step explanation:
Question and answer choices are in the SS attached!!!! Pls help me! ty!
Answer:
B
Step-by-step explanation:
It's a right triangle, so the pythagorean theorem will be used a lot.
First, find the side length on the left.
25^2 = 7^2 + y
y = 24
Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.
4^2 + 24^2 = x^2
x = [tex]\sqrt{592}[/tex]
Just need to simplify it a little farther...
592 / 16 = 37, so B must be the answer.
Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?
Answer:
y = |x+6|
Step-by-step explanation:
To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.
If we are shifting 6 units to the left, h = -6. Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|
Is ABC" ADEF? If so, identify the similarity postulate or theorem that
applies
15
A. Similar - AA
B. Similar - SAS
C. Similar - SSS
D. Cannot be determined
here is answer
- BRAINLIEST answerer
The ∆ABC ~ ∆DEF by AA similarity Criteria.
What is Similarity?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Two angles in ∆ABC and their equivalent angles in DEF are congruent.
Hence, it follows that the triangles' third pair of angles would likewise be similar.
So, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.
Then here the AA Similarity Criterion will be used.
Thus, ∆ABC ~ ∆DEF by AA Similarity rule.
Learn more about similarity here:
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Find a value c in the interval [0,3] such that f(c) is equal to the average value.
Answer:
1.5
Step-by-step explanation:
Numbers in the interval are 0, 1, 2 and 3
Average Value = (0+1+2+3)/4=1.5
The average value of the numbers in the interval {0,3} is 1.5.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Mean is defined as the ratio of the sum of the number of data sets to the total number of data.
Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.
The average of the numbers is calculated as,
Average Value = (0+1+2+3)/4
Average Value =1.5
Therefore, the average value of the numbers in the interval {0,3} is 1.5
To know more about an average follow
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Two pillars of height 8 ft each with four faces of the gate of a stadium have one-one pyramid of height 4 ft each having same base on their tops. The base of each pillar is 6 ft × 6 ft. If the pillars with pyramid are painted at rate of Rs 89 per sq.ft , what will be the total cost? [ Please include figure too]
Help!! ~Thanks in advance! :)
Answer:
₹ 44856Step-by-step explanation:
There are 2 pillars, two right prisms of dimensions 6x6x8 ft, two right pyramids of dimensions 6x6x4 ft on top of prisms.
There will be 4 faces of each painted.
Area of each prism face:
6*8 = 48 ft²Total area of prism faces:
8*48 = 384 ft²Slant height of pyramid faces:
s = √h²+(a/2)², where h- height of pyramid, a - side of bases = √4²+(6/2)²= √16+9 = √25 = 5 ftArea of each face of pyramid:
A = (1/2)*6*5 = 15 ft²Total area of pyramid faces:
8*15 = 120 ft²Total area to be painted:
384 + 120 = 504 ft²Cost of paint:
504*89 = 44856Total cost painted = 44,856
Answer in the picture.
think of two numbers which when add give 5 and substracts give 1
Answer:
3 and 2
Step-by-step explanation:
3+2=5
3-2=1
Hope this helps!!
sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make
Simplify 2y+4x=16x +6y
Find the length of the indicated
side of the similar figure.
24
18
24
x =
[?]
Enter the nutriber that belongs in the green box
In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group
Answer:
If we assume that everyone in the group is an owner, we would have
[tex]20*2=40[/tex] legs.
[tex]64-40=24[/tex] legs
Therefore, we need 24 more legs.
These 24 additional legs can be made from the difference of legs between the owners and dogs.
In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.
24 ÷ 2 = 12.
There are 12 dogs in the group.
helpp?? please :))))
1-3. Name the radii.