Answer:
Step-by-step explanation:
Factor into primes
32: 2*2*2*2*2
48: 2*2*2*2*3
64: 2*2*2*2*2*2
The highest common factor is 2*2*2*2 = 16
Divide by rationalizing the denominator.
3+5i/10+3i
A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109
Answer:
D
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate of the denominator.
Note that i² = - 1
The conjugate of 10 + 3i is 10 - 3i , then
[tex]\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}[/tex] ← Expand numerator/denominator using FOIL
= [tex]\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}[/tex] ← simplify
= [tex]\frac{30+41i+15}{100+9}[/tex]
= [tex]\frac{45+41i}{109}[/tex] → D
Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation?
Complete the steps to write the equation of direct variation.
Start with the equation of direct variation y = kx.
Substitute in the given values for x and y to get
.
Solve for k to get
.
Write the direct variation equation with the value found for k. The equation is
.
Answer:
1.✔ -4 = k(8)8 = k(-4).
2.✔ -1/2.
3.✔ y = (-1/2)x.
Step-by-step explanation:
This is 100% right
PLEASE HELP! it's due today
Answer:
[tex]thank \: you[/tex]
5+(-2)= ? Please help! I don’t know the answer
Answer:
It will be 3 because its take away hope this helped
i need helpppp Blake and josh are both saving money for a new bike, the ratio of blake saving 3:1 if they have saved 400$ how much has each boy saved
Answer:
Blake = $300
Josh = $100
Step-by-step explanation:
3:1
3(00) / 1(00)
300 / 100
Chow,...!
John's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs John $5.95 per pound, and type B coffee costs $4.65 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $656.70. How many pounds of type A coffee were used?
Answer:
Let x = the number of lbs of Type A coffee.
We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.
Total lbs of coffee = x + 3x
The total cost then is:
($ cost for Type A)(x) + ($ cost for Type B)(3x) = $717.60
$5.65x + $4.25(3x) = $717.60
$5.65x + $12.75x = $717.60
$18.40x = $717.60
x = 39 lbs
c(x-2)-5=b(x-3), solve for x
Answer:
x = (2c - 3b + 5) / (c - b).
Step-by-step explanation:
c(x - 2) - 5 = b(x - 3)
cx - 2c - 5 = bx - 3b Bring the terms in x to left side:-
cx - bx - 2c - 5 = -3b Bring other terms to right side:-
cx - bx = 2c - 3b + 5
x(c - b) = 2c - 3b + 5 Divide both sides by c - b:-
x = (2c - 3b + 5) / (c - b).
A scale drawing of a school bus has a scale of 1/2 inch to 5feet. If the length of the school bus is 4 1/2 inches on the scale drawing. What is the actual length of the bus? Explain or show your reasoning.
1
Write down the temperature that is 7 °C below -3°C.
ES
Answer:
-10 [tex]^\circ C[/tex]
Step-by-step explanation:
Subtract 7 from -3. -3 - 7 = 0=-10
The temperature that is 7°C below -3°C is equal to -10°C.
To find the temperature that is 7°C below -3°C, we need to subtract 7 from -3. When subtracting a positive number from a negative number, the result becomes more negative.
Starting with -3°C, we subtract 7°C:
-3°C - 7°C = -10°C
A negative temperature indicates a temperature below zero on the Celsius scale. In this case, -10°C means that the temperature is 10 degrees below freezing point.
The Celsius scale is based on the freezing and boiling points of water, with 0°C representing the freezing point and 100°C representing the boiling point at standard atmospheric pressure.
Since we are subtracting 7°C, we are moving further below the freezing point. So, -10°C indicates a colder temperature than -3°C.
To learn more about temperature click on,
https://brainly.com/question/28827315
#SPJ2
Complete question is:
Write down the temperature that is 7 °C below -3°C?
Which of the following sets contains multiples of six?
{1, 6}
{2, 3}
{4, 9}
{12, 18}
calculate the mean of the set of boys and girls below:
boys 21, 18, 20, 16, 16, 22, 28, 24, 26
girls 13, 16, 15, 14, 15, 19, 22, 26, 12
A-boys: 21.22 girls: 16.89
b-boys, 21 girls, 15
c-boys 18.5 girls 17
d-boys 18.5 girls 15
Answer:
Boys: 21.22 Girls: 16.89
Answer: A
Step-by-step explanation:
Add all the data points and divide it by the number of the data points.
Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?
Answer:
height is 4ft.
Step-by-step explanation:
I used pathagorus theorem .All explaination is in the pic below.
Need help ASAP pls !!!!
Simplify each expression
help i hate maths its just HARD FOR MEEE
Answer:
Step-by-step explanation:
[tex]U=\{1,2,3,4,5,6,7,8,9,10\}\\\\P=\{2,4,6,8,10\}\\\overline{P}=\{1,3,5,7,9\}\\\\Q=\{2,3,5,7\}\\\overline{Q}=\{1,4,6,8,9,10\}\\\\P\ \cap\ Q=\{2\}\\P\ \cup\ Q=\{2,3,4,5,6,7,8,10\}\\\\\overline{P\ \cup\ Q}=\{1,9\}\\\\\overline{P}\ \cap\ \overline{Q}=\{1,3,5,7,9\}\ \cap\ \{1,4,6,8,9,10\}=\{1,9\}[/tex]
Need help with 7 I don’t get it
What are are the domain and range of f(x) = (1/6)^×+2?
Need help ASAP pls thx
Answer:
the correct answer is 60 :)
[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+18+28}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{60}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{7}{15}=0.46[/tex]
What is the width of a rectangle with an area of 300 square feet and a length of L feet?
integers: 11×11÷[-11÷{12-(13-12)}]
Answer:
121+11 divided 37
hope this helped:)
Answer:
-121
Step-by-step explanation:
You can plug it in to a calculator, or use pemdas: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Karl drove for 4 hours. For part of the trip he drove at 50 miles per hour. For the rest of the trip he drove at 100 miles per hour.
All together he drove 250 miles.
Solve this equation for h to find out how many hours he drove at 50 miles per hour.
250 = 50h + 100(4 - h)
Answer:
3 hours
Step-by-step explanation:
250 = 50h + 100(4 - h)
250 = 50h + 400 - 100h
250 = -50h + 400
-150 = -50h
h = 3
i need help ;^; please im no big brain
Answer:
[tex]18\sqrt{3} + 55\sqrt{3} = 73\sqrt{3}[/tex]
Step-by-step explanation:
27= 3 * 3 * 3
75 = 3 * 5*5
18 sqr 3 + 55 sqr 3 = 73 sqr 3
Does y=2.5 satisfy 2y-1=4
Answer:
yes
Step-by-step explanation:
substitute: 2(2.5)-1=4
5-1=4 is correct
in a School the monthly fee of a child is ₹ 497 . If there are 2983 students in a school ,find the total fee collected in a month.
Answer:
1482551 is correct answer
What is the answer to this? Please send help
Step-by-step explanation:
steps are in the picture.
Note:if you need to ask any question please let me know.What is the constant of variation for y= 2/5x
Answer:
Step-by-step explanation:
This equation is of the form y = kx, where k is the constant of variation. In our case, this is 2/5. One thing that separates a direct variation from simply a line (although a direct variation does in fact represent a line when graphed), is that the graph of a direct variation will ALWAYS go through the origin. That means that it will never have the "+ k" at the end of its equation and its y-intercept is always 0.
What is the greatest
common factor (GCF)
of 40 and 42?
convert the following. a 1 day into second b 6.86 km into m
Answer:
a. there are 86400 seconds in a 24 hour day
b. to convert a km to a m you say
1000m is equivalent to 1 km
1000m:1km
x:6.86
x=6860m
I hope this helps
can someone please help me with this?
Answer:
These are the missing numbers
Sec1
A. 12, 29/2, 17 (arithmetic)
C. 3/16, 3/32, 3/64 (geometric)
D. 17, 33, 65 (neither)
Sec2
A. 8, 48 (growth)
B. 16, 32 (growth)
C. 1, 2 (rate)
Step-by-step explanation:
Section 1
A. add by 2.5 or 5/2
C. multiply by 1/2
D. double the value-added
Section2
A & B. multiply by 2
C. add 1/2
34x = 850
just a simple equation. I posted it for no reason in particular.
Answer:
x=25
Step-by-step explanation:
because i divided
