Perform the operation and write your answer in standard form (a + bi). (−8 − 2i)+ (−4 + 6i)
Answer:
-12+4i
Step-by-step explanation:
(-8-2i)+(-4+6i)
-8-2i-4+6i
-12+4i
Eric is saving money to buy a game. So far he has saved $12, which is three-fourths of the total cost of the game. How
much does the game cost?
Answer: should be 16.
Step-by-step explanation:
Because 3 fourths of 16 is 12.
The sum of the ages of Peter and Paul is 24. Five years ago their respective ages were in the ratio 3:4. How old will they be in three years time?
Answer:
16 and 14 years old.
Step-by-step explanation:
Let their ages be x and y years, then
x + y = 24 .......... (1)
Also from the given information
(x - 5)/ (y - 5) = 3/4
3y - 15 = 4x - 20
3y - 4x = -5
Multiplying equation (1) by 3:
3y + 3x = 72
Subtracting these last 2 equations:
-7x = -77
x = 11.
So y = 24 - 11 = 13.
So in 3 years time they will be 16 and 14.
Answer:
Peter would be 14. Paul would be 16
Step-by-step explanation:
Variable labels:
Peter = m, Paul = n
m + n = 24
(m - 5) : (n- 5) = 3:4
The ratio 3:4 in fraction form is [tex]\frac{3}{4}[/tex]
The ration of (m - 5) : (n- 5) in fraction form is [tex]\frac{m - 5}{n - 5}[/tex]
[tex]\frac{m-5}{n-5} = \frac{3}{4}[/tex]
Cross multiply:
4(m - 5) = 3(n - 5)
4m - 20 = 3n - 15
4m = 3n + 5
Find the value of m first:
4m = 3n + 5
m = [tex]\frac{3n + 5}{4}[/tex]
Now going back to the equation m + n = 24, substitute m with [tex]\frac{3n + 5}{4}[/tex] :
m + n = 24
[tex]\frac{3n + 5}{4}[/tex] + n = 24
Solve for n:
[tex]\frac{3n + 5}{4}[/tex] + n = 24
[tex]\frac{3n}{4} + \frac{5}{4}[/tex] + n = 24
[tex]\frac{7n}{4} +\frac{5}{4}[/tex] = 24
[tex]\frac{7n}{4} = \frac{91}{4}[/tex]
n = 13 (Paul's age)
Solve for m:
m + n = 24
m + 13 = 24
m = 11 (Peter's age)
After three years, Peter would be 11 + 3 = 14 years old and Paul would be 13 + 3 = 16 years old.
free think fast 20X10
Answer:
200 yessir
Step-by-step explanation:
A gym has 563 people that want to attend workout classes. Each class will have 15 people.
Which is the best estimate for the number of workout classes the gym should offer?
40
why?: 563/15=37.53333333
Round up to the nearest 10
Brainliest?
Can anyone please help me under this and what I'm supposed to do. Thank you in advance
Three concert tickets cost $45 what is the cost per ticket
Answer: 15
Step-by-step explanation:
45$ = 3 Tickets
45 / 3 = 1 Ticket
1 Ticket = 15
The cost of the concert ticket is 15 dollars per ticket.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that Three concert tickets cost $45.
To determine the cost per ticket.
Therefore,
45$ = 3 Tickets
For the unit cost of the concert ticket.
45 / 3 = 1 Ticket
1 Ticket = 15
Hence, the cost of the concert ticket is 15 dollars per ticket.
To learn more about the unitary method, please visit the link given below;
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HELP PLEASE!!!! Find the exact values of sin A and cos A. Write fractions in lowest terms.
A) sin A = 3/5; cos A = 4/5
B) sin A = 5/4; cos A = 5/3
C) sin A = 4/5; cos A = 3/5
D) sin A = 4/3; cos A = 3/4
Answer: Im pretty sure its C dude have a wonderful day.
Step-by-step explanation:
please help asap question two
Answer:
C
Step-by-step explanation:
Si f(1)=18 que es f(5)
A squirrel in a tree drops an acorn. How long does it take the acorn to fall 24 feet?
1. (kerry is going to the ice cream shop wi When she gets there, she sees that the coop of ice cream a person orders, pl sing this information
Answer:
what do u mean sing like can you rewrite what we suppose to look in it.
Step-by-step explanation:
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought? 49 + 28 = 4 (7 + 7) 49 + 28 = (7) (7) + (14) (2) 49 + 28 = (7) (14) + (7) (7) 49 + 28 = 7 (7 + 4) plz i need help
Answer:
I don't know the answer bro but please follow me bro
Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?
Answer:
46 jumping jacks per minute
Step-by-step explanation:
184/4= 46
Answer:
she did 46 jumping jacks per minute
Step-by-step explanation:
the points (3, 17) and (1, 15) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
Write in slope-intercept form, y=mx+by=mx+b.
answer: y=X+14
If x=4cos(2t) and y=4sin(2t), what is the parameter of these equations
Answer:
y=√(4+x)(4−x)
Step-by-step explanation:
Someone help with all if possible :)
Instructions are at the top of the picture, also I’ll mark brainliest for small explanation!
Answer:
1. y=2x+4 2. y=-3/1x-4 3. y=1/4+4 4.y=-4/5x-7
Step-by-step explanation:
Select the correct answer.
tan(
Which of the following is not an identity for
PLSSSS HELP
If you are dividing a three digit even number by two but you ever get a remainder
Answer:
Step-by-step explanation:
yes
The compressive strengths of 40 concrete cylinders have an estimated mean of 60.14 MPa and standard deviation of 5.02 MPa. Assuming the strength to be Normally distributed, what is the probability that 10 cylinders will each have strengths between 45 and 75 MPa?
Answer: 0.9972
Step-by-step explanation:
Let x be a random variable that represents the strength of concrete cylinders.
Given: The compressive strengths of 40 concrete cylinders have an estimated mean[tex](\mu)[/tex] of 60.14 MPa and standard deviation[tex](\sigma)[/tex] of 5.02 MPa.
The probability that 10 cylinders will each have strengths between 45 and 75 MPa :
[tex]P(45<\overline{x}<75)=P(\dfrac{45-60.14}{5.02}<\dfrac{\overline{x}-\mu}{\sigma}<\dfrac{75-60.14}{5.02})\\\=P(-3.016<z<2.96)\\\\=P(z<2.96)-P(z<-3.016)\\\\=P(z<2.96)-(1-P(z<3.016))\\\\=0.9985-(1-0.9987)\ \ \ [\text{by p-value table}]\\\\= 0.9972[/tex]
Hence, The required probability = 0.9972
Please help
Picture inserted
Multiple choice
Will appreciate it if you help!
Answer: Nonlinear; power of x is greater than 1 (Bottom right corner)
Explanation:
The equation y = x^2 - 1 is known as a quadratic since the largest exponent here is 2. This equation cannot be written in slope intercept form y = mx+b, so that's why it's not linear. You can also graph y = x^2-1 to get a curved parabola. The graph must be a straight line if you want a linear equation.
100 POINTS. ANSWER CORRECTLY, PLEASE!
What is the area of a triangle with vertices at (−4, 1), (−7, 5) , and (0, 1) ? Enter your answer in the box.
Answer:
The answer is 8 units squared.
Step-by-step explanation:
An airplane flies 104 miles in 1/2 hour. How far can it fly in 1 1/4 hours at the same rate of speed
Answer:
260 miles i prettty sure brainliest plzz
Step-by-step explanation:
The graph of f(x) = 2x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?
A. 5
B. −1
C. 1
D. 4
Answer:
A
Step-by-step explanation:
Answer:
k = 6Step-by-step explanation:
Given function:
f(x) = 2x + 4Shifting right 5 units:
f(x - 5) = 2(x - 5) + 4 = 2x - 10 + 4 = 2x - 6New function is:
f(x) = 2x - 6The value of k is 6
The answer choices don't include 6, it might be a typo?
Which of the following explains how ΔBEI could be proven similar to ΔCEH using the AA similarity postulate? Quadrilateral ABDC, in which point F is between points A and C, point G is between points B and D, point I is between points A and B, and point H is between points C and D. A segment connects points A and D, a segment connects points B and C, a segment connects points I and H, and a segment connects points F and G. Segments AD, BC, FG, and IH all intersect at point E. ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE. ∠BEI ≅ ∠CEH because vertical angles are congruent; reflect ΔCEH across segment FG, then translate point C to point B to confirm∠IBE ≅ HCE. ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then dilate ΔCEH to confirm segment EB ≅ segment EC. ∠BEI ≅ ∠CEH because vertical angles are congruent; reflect ΔCEH across segment FG, then dilate ΔCEH to confirm segment EH ≅ segment EI.
∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.
i got it right on the test
3 1/3 - 2 7/12 Please help me sorry its a mixed number
Answer:
it is 0.75
Step-by-step explanation:
Answer:
3 1/3 - 2 7/12 = 3/4
Step-by-step explanation:
Find the improper fractions:
3 1/3 = 10/3
2 7/12 = 31/12
Find the common denominator:
10/3 = 40/12
31/12
Subtract:
40/12 - 31/12 = 9/12
Simply:
9/12 = 3/4
From 95 books to 116 books
Answer:
21 books were added
Hope I helped,
PumpkinSpice1
☼♥☼♥☼♥☼♥☼
4x - 1 = 3 (x - 1)
(help pls fast by tuesday!)
Answer:
x = -2
Step-by-step explanation:
I hope this helps!!
If Z is the centroid of WXY, WR=87 SY=39 and YT=48 find each missing measure
Answer:
Step-by-step explanation:
WS=39
WY=78
WZ=58
ZR=29
ZT=16
YZ=32
The measures are WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Z is the centroid of triangle.
The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle.
WR=87 SY=39 and YT=48
We need to find WS,WY,WZ,ZR,ZT and YZ
WS=39
As WS=WR
WY=WS+SY
WY=39+39=78
WZ=58
ZR=WR-WZ
ZR=87-48=29
ZT=16
YZ=YT-ZT
=48-16=32
YZ=32
Hence, the measures are WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32
To learn more on Triangles click:
https://brainly.com/question/2773823
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Bargain DVDs cost $5 each at Mega Movie. a. Graph the proportional relationship that gives the cost y in dollars of buying x bargain DVDs