What is the greatest
common factor (GCF)
of 40 and 42?
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
PLEASE HELP! it's due today
Answer:
[tex]thank \: you[/tex]
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.
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).
which of the following functions is graphed below?
The correct answer is option (D).
To find from graph below which functions.
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points.
First at the left side of the graph. The shape that it is an [tex]x^{3}[/tex] function. also the filled in circle means inclusive. so that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less than or equal to is the last one, D. To look at the right side that it is open circle. It is >.
So, the answer is Option (D).
Learn more about co-ordinate geometry here:
https://brainly.com/question/24428694
#SPJ6
The angles of a quadrilateral are in the ratio 1:2:3:4. The smallest and the largest angle are
urgent pls answer asap
thank you
Step-by-step explanation:
Let the angles of quadrilateral be
X, 2x, 3x, 4x
Sum of all angles of quadrilateral = 360
X+2x+3x+4x = 360
10x = 360
X = 360/10 = 36
Ans: the four angles are
X = 36
2x = 2 X 36 = 72
3x = 3 X 36 = 108
4x 4 X 36 = 144
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
Evaluate the expression x^2 - y^2, if x = -3, and y= 2
[tex]\\ \rm\longmapsto x^2-y^2[/tex]
[tex]\\ \rm\longmapsto (-3)^2-(2)^2[/tex]
[tex]\\ \rm\longmapsto 9-4[/tex]
[tex]\\ \rm\longmapsto 5[/tex]
Elsa needs to drive a total of 205.6 miles. So far she has driven 67 miles. How many miles muse she drive?
Answer:
138.6 miles
Step-by-step explanation:
205.6 - 67 = 138.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
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).
Which of the following sets contains multiples of six?
{1, 6}
{2, 3}
{4, 9}
{12, 18}
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
What is the width of a rectangle with an area of 300 square feet and a length of L feet?
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 length of the line?
Please explain in depth and I will give Brainliest
Answer:
Step-by-step explanation:
picture will show you all the explaination
5+(-2)= ? Please help! I don’t know the answer
Answer:
It will be 3 because its take away hope this helped
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]
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
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
Simplify each expression
Need help with 7 I don’t get it
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]
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,...!
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.
"You are growing like a weed!” D’rek's grandmother said to him when she saw him for the
first time in a year. If D’rek grew 8 inches over the last year, and an average dandelion (a
common weed) grows 0.1 inches in one day, is D’rek growing like a weed? Justify your
answer.
growth rate:
[tex]=\frac{8}{365}[/tex]Derek is not growing like a weed because the weed grows at 0.1 inch per day, while he grows at a rate of 0.022 inch per day.
The number of days in a year = 365
The question says that D'rek grew at the rate of 8 inches in the last year'
D'reks growth rate:
[tex]=\frac{8}{365}[/tex]
= 0.022 inch per day
From the calculation above, Derek is growing at the rate of 0.022 inch per day. But the question says that the weed grows at the rate of 0.1 inch per day
In conclusion, Derek is not growing like a weed, his growth rate differs from that of the weed.
Here is a similar question and solution https://brainly.com/question/1806491?referrer=searchResults
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.
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
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.