Answer:
6400
Step-by-step explanation:
Substitute the given value into the expression
p²q²
= 10² × 8²
= 100 × 64
= 6400
Step-by-step explanation:
given that p=10
you would times 10 by itself so:
10x10=100
now the same for the q=8
8x8=64
now i think you would have to times 100 with 64 if not than there's your answer
which equals to 6400 (if you times it)
hope that helps
Divide the complex numbers. Write the answer in the form a + bi. (30 points)
Prefer work shown as it would be super helpful, thank you.
We make use of the identity,
a² - b² = (a - b) (a + b)
with a = 5 and b = 7i. Multiply the numerator and denominator by the complex conjugate of 5 + 7i, or 5 - 7i :
(-8 + 3i)/(5 + 7i) = (-8 + 3i)/(5 + 7i) • (5 - 7i)/(5 - 7i)
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (5² - (7i)²)
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (25 - (-49))
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / 74
Expand the numerator on the right side:
(-8 + 3i)/(5 + 7i) = ((-8)•5 + 3i•5 + (-8)•(-7i) + 3i•(-7i)) / 74
(-8 + 3i)/(5 + 7i) = (-40 + 15i + 56i - 21i²) / 74
(-8 + 3i)/(5 + 7i) = (-40 + 71i - 21(-1)) / 74
(-8 + 3i)/(5 + 7i) = (-19 + 71i) / 74
please answer fats i need it hurry
Answer:
78 inStep-by-step explanation:
26 * 3 = 78 in
How do u solve this? pls LOL
Answer:
8
Step-by-step explanation:
HF and DE are parallel to each other ( since corresponding angles are equal = 90°) .
Hence the smaller and the larger triangle will be similar to each other.
Also we know the corresponding sides of similar triangles are proportional .
=> 10 / z = 10+5/12
=> 10/z = 15/12
=> z = 10 *12/15
=> z = 8 yards
Answer:
8
Step-by-step explanation:
Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.
Answer:
GCF(54, 42) = 6 arrangements
Step-by-step explanation:
The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...
54 = 6×9
42 = 6×7
The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.
6 identical arrangements of 9 roses and 7 tulips can be made.
_____
Additional comment
When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.
When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.
54 = 2×3×3×3
42 = 2×3×7
These factorizations have 2×3 = 6 in common.
__
Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.
54/42 = 1 r 12
42/12 = 3 r 6
12/6 = 2 r 0 . . . . GCF = 6
This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.
find the area in hectares of a rectangular farmland 1km by 1/2km
Answer:
Solution: Length of the rectangular farmland =1km :Breadth of the rectangular farmland =1/2km1km= 1000m, 1/2km =500m
Area=Length×Breadth
=1000x500m2=500000m2
=50×10000m2=50 hectares
:)Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline
Answer:
wedge
Step-by-step explanation:
d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 Evaluate d if ( x 1 , y 1 ) = ( − 3 , 4 ) and ( x 2 , y 2 ) = ( − 2 , 4 ) .
Answer:
1
Step-by-step explanation:
let's substitute the numbers:
[tex]d=\sqrt{[-2-(-3)]^2+(4-4)^2}=\sqrt{(-2+3)^2-0^2}= \sqrt1= 1[/tex]
The value of d if [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex] in [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] is 1.
DistanceThe distance between the two co-ordinates points can be evaluated by using the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the endpoints.
How to evaluate the distance?The given coordinate points are [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex].
Substitute the values of the known parameters in the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] as-
[tex]d=\sqrt{(-2-(-3))^2+(4-4)^2}\\=\sqrt{(-2+3)^2}\\=1[/tex]
Hence, the value of d is 1.
Learn more about the distance between the coordinate points here- https://brainly.com/question/14364020
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please please help! it’s due today and i don’t get it
Answer:
Well the value of (X) is 0
Step-by-step explanation:
Well the value of (X) is always 0
why is the product of 3/2 and 3/4 greater than 3/4
Answer: See below.
Step-by-step explanation:
(3/2)*(3/4) = 9/8
9/8, or 1 1/8 is greater than 3/4
The factor (3/2) is misleading. It is 1.5 written as a fraction and its appearance as a fraction makes one think it is a small number.
NEED ASAP!!!
Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2
Answer:
-11.5
Step-by-step explanation:
28+ 79r r= -1/2
28+ 79(-1/2) =
28 + -39.5 -11.5
Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.
Step-by-step explanation:
Statements / reasons:
Statement 1 >> RS ≅ UT Reason 1 >> Given
Statement 2 >> RT ≅ US Reason 2 >> Given
Statement 3 >> TS ≅ TS Reason 3 >> Common side
Statement 4 >> ΔRST≅ΔUTS Reason 4 >> SSS theorem
Find the value of x and y.
Answer:
x = 4
y = 12°
Step-by-step explanation:
Since each angles are equal ,
So each angle is 60°.
=> 5y = 60°
=> y = 60/5°
=> y = 12°
Again all sides will be equal ,
=> 5x - 6 = 3x + 2
=> 5x - 3x = 6+2
=> 2x = 8
=> x = 4
What is the least common denominator for 5 and 16
Answer: 80
Step-by-step explanation:
16, 32, 48, 64, 80
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80
I GIVE BRAINLIST !!
Which point is in the graphed solution set of this system of inequalities
-3x+y>1
y>_ x-1
Answer:
I think the answer is option d
What is the discriminant of the quadratic equation 9x^2+5x-9=0
Answer:
Δ = 349
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is
Δ = b² - 4ac
9x² + 5x - 9 = 0 ← is in standard form
with a = 9, b = 5 , c = - 9 , then
b² - 4ac
= 5² - (4 × 9 × - 9)
= 25 - (- 324)
= 25 + 324
= 349
. Which angle is included between the sides MN & OM of AMNO
quick pleaseeee
Kayden practices the piano 609 minutes in 3 weeks. If t represents the total time he
practices for any number of days, d, write a proportional equation for t in terms of d
that matches the context.
Answer:
Step-by-step explanation:
Please help me with this homework …
1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a
Thursday, which day of the pay period week are you working?
2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,
which Tour did you work?
I
3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at
07.00 on Saturday, for Week 1, your time worked is recorded for the next pay
period. Why?
Use the exchange rate £1 = €1.13 to convert €339 into £.
Answer:
the answer is £300.
..........
Answer:
383.07
Step-by-step explanation:
All the info
£1 = €1.13 What are we trying to do? Turn €339 into £.
Therefore 339 X 0.13=44.07 So 44.07+339=£383.07 making £383.07 the exchanged sum
What is the slope of the line shown in the graph?
Answer:
-3/2
Step-by-step explanation:
Add.
310+(−720)
Enter your answer as a fraction, in simplified form, in the box.
Answer:
-410/1
Step-by-step explanation:
Hey there!
Question :-[tex]310 + ( -720)[/tex]
We need to solve this arithmetic expression,as a fraction.
Solution:-[tex] \sf \longmapsto310 \: + ( - 720)[/tex]
Note that (+) and (-) equals to (-).
New Arithmetic expression will be :-
[tex]\sf \longmapsto310 + (720)[/tex]
Remove the parenthesis :-
[tex]\sf \longmapsto310 - 720[/tex]
Calculating the Subtraction:-
[tex]\sf \longmapsto310 - 720[/tex]
As 310 < 720, 720 contains (-) sign. Therefore, The Solution will be -410 not 410.
[tex]\sf \longmapsto - 410[/tex]
Converting to Fraction:-
[tex]\sf \longmapsto \: - 410[/tex]
[tex]\sf \longmapsto \: \dfrac{410 \times 1}{1 \times 1} [/tex]
[tex]\sf \longmapsto - \dfrac{410}{1} [/tex]
On Simplification of this Fraction:-
[tex]\sf \longmapsto \cancel \dfrac{ - 410}{1} [/tex]
On Cancelling , -410 Is the result.
[tex]\sf \longmapsto - {410} [/tex]
______________________________________
Henceforth , the answer of the arithmetic expression Will be :-(Simplified)
[tex]\boxed{\bf-{410} }[/tex]
________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
Solve for b, c and d
Answer:
Answer to B:
4
Answer to C:
-4
Answer to D:
2
Does anyone have the pages 8,9,10,12 in the Dimensions Math 7A Workbook?
PLEASEE!!!! I forgot my book at school and is due in an hour
Answer:
there
Step-by-step explanation:
1
Find the perimeter. Simplify your answer.
Answer:
24c-14
Step-by-step explanation:
to find the perimeter, simply add up the values of the three sides:
(7c-5) + (7c-5) + (10c-4) = 7c-5+7c-5+10c-4 = (7c + 7c + 10c) + (-5 -5 -4) = 24c -14
A bowling special costs $8.50 per hour for each adult and $5.00 per hour for each child one adult and two children go bowling what is the equation that shows the relationship between cost In dollars and time
Answer:22$
Step-by-step explanation:
2x8.50 = 17+5 = 22$
How long do they bowl
An airline ticket costs $40.
The price is increased by 200%.
Work out the absolute increase.
An airline ticket costs $40. The price is increased by 200 percent. The absolute increase is $80.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Cost of airline ticket = $40.
Increase in price = 200% of $40
Absolute increase = [tex]\frac{200}{100}* 40 = 80[/tex]
Learn more about percentage here
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Trevon bought one package of blueberries for $3. How many packages can Elisa buy if she has $63
at a back to school sale backpacks are marked down at 15% off the original price was $34 then what was the sale price
Answer:
The answer is 4.57
Step-by-step explanation:
help me with this question please!!ASAP