what is the additive inverse of the complex number -8+3i
Answer:
8-3i
Step-by-step explanation:
additive inverse of a+bi is -(a+bi)
so -(-8+3i) -- distribute negative through ()
8-3i
Find x. Round to the nearest tenth.
By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.
How to find the missing angle
In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:
90² = 55² + 50² - 2 · 55 · 50 · cos X (1)
X ≈ 117.916°
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If the turning point is lower than the nearby point it's called a
Answer:
Step-by-step explanation:
Local minimum. It would be the minimum value of the function not including the end points. If you are including the end points, its an absolute minimum
A. Identify which of the following points: (2,-5),(4,1),(3, 3),(6,3) are solutions of the linear equation: 2x - y = Graph each point that is a solution of the linear equation from Part A.
Answer: It will be (2,-5) and (6,3) because they are one the slope line
Step-by-step explanation:
Hope is Helped
Please help and when you get you answer it should be either ending in
cents, t-shirts, partners, Dollars
Answer:
1/6x = 45x = $270Step-by-step explanation:
There are 6 friends total and for them to make $45 each, you would need to multiply 6 to 45. The only way you could do this is if you have a fraction supporting the variable.
1/6x = 45
~Multiply 6 to both sides
x = 270
Best of Luck!
Answer:
[tex]\huge\boxed{\$ 270}[/tex]
Step-by-step explanation:
We can break this problem down to understand it.
Chad and his friend make an unknown amount of money while selling t-shirts. We'll assign this to a variable, [tex]x[/tex].
After splitting it amongst him and his 5 friends, he wants everyone to have $45.
Therefore, we can multiply the profit per person by the number of people to find how much money has to be made in total.
Chad + 5 people = 6 people
We can write an equation for this problem.
[tex]\displaystyle \frac{1}{6}x=45[/tex]
To solve this, we multiply both sides by 6 to cancel out the [tex]\frac{1}{6}[/tex] (as [tex]\frac{1}{6} \cdot 6 = 1[/tex]).
[tex]45 \cdot 6 = 270[/tex]
Hope this helped!
PLEASE HELP WILL GIVE BRAINLIST
A clock gains time at a steady rate. It is set to the correct time at
10: 00 AM. When the clock shows 2 : 00 PM, the correct time is
1: 36 PM. How many minutes fast will the clock be the next time the
correct time is 5 : 30 PM?
Answer:
The clock will be 50 minutes fast
Step-by-step explanation:
Proportions
It's known a clock gains time at a steady state, or constant rate.
At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.
From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes
Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.
When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.
Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.
The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.
The clock will be 50 minutes fast
Help me find the answer to this please. And also explain how to slove these problems.
Answer:
B and C
Step-by-step explanation:
Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.
A minimum point occurs where all the nearby values are higher than that of the point in question.
A maximum point occurs where all the nearby points are lower than the point in question.
By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)
By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.
I've highlighted areas of interest below so hopefully that's helpful :>
if cos theta = 3/5, then tan theta =
Step-by-step explanation:
cos theta=3/5
theta=53.13°
tan theta =1.33
1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.
Five less than four times a number is equal to three times the number.
2. Alejandra stayed 3 nights in a hotel for a total of $254.91. If each night was the same price, what did Alejandra pay per night? Show your thinking, use units to label your answer!
Answer:
Step-by-step explanation:
4x-5 = 3x
Please help......................
18.9 or 18 9/10 or b or the second option.
Answer:
it's 18 9/10
Step-by-step explanation:
y=-2y-4 and y=1/2x-5
solve by systems of equations
pls help I need help ALL I NEED IS THE WORK PLSSSS HELP
Answer:
1. Y = -4/3
2. 2x = 2y + 10
Step-by-step explanation:
1. y =− 2y − 4
Step 1: Add 2y to both sides.
y + 2y = −2y − 4 + 2y
3y = −4
Step 2: Divide both sides by 3.
3y/3 = -4/3
y = -4/3
2. solve for x
y=1/2x-5
Step 1: Flip the equation.
1/2x−5=y
Step 2: Add 5 to both sides.
1/2x−5+5=y+5
1/2x=y+5
Step 3: Divide both sides by 1/2.
1/2x/1/2=y+5/1/2
x=2y+10
not sure if this will help but here you go :)
M is the midpoint of PA.
8x - 1
M
2x + 17 A
PM =
Use the given functions to set up and simplify PM
M =
PA =
8x - 1
M=
2x + 17A
PM=
12.6d07
Find the probability.
In one town, 47% of all voters are Democrats. If two voters are randomly selected for a
survey, find the probability that they are both Democrats.
Select one:
a. 0.221
b. 0.940
c. 0.470
d. 0.216
Answer:
A
Step-by-step explanation:
The fact you need to use is 47%
47/100 * 47/100 = 2209 / 10000 = 0.221
If you score a 99, what percentage of the population scored above you?
Answer:
1%
Step-by-step explanation:
Answer:
1% pf the population scored above you
Step-by-step explanation:
make brainliest
Let f(x) = - 2x + 5 and g(x)=x2 + 5.
Find (f+g)(x)
Answer:
[tex]x^{2}[/tex]-2x+10
Step-by-step explanation:
Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142
Answer:
15pi cm or 47.12
Step-by-step explanation:
Radius= 7.5cm
7.5 x 2 = 15
diameter= 15cm
circumference = pi x diameter
circumference= pi x 15
=15pi cm or 47.12
14 ÷ 3/8
I need help plis :(
Answer:
[tex]\frac{112}{3}[/tex]
Step-by-step explanation:
14 ÷ 3/8 = 14 • 8/3
= 112/3
Answer:
37 1/3
Step-by-step explanation:
use Keep Change Flip when dividing with fractions! :) It's helpful
for example: 14 ÷ 3/8
14 (keep as 14)
* (change to multiplication)
8/3 (flip the fraction)
14 times 8/3= 37 1/3
Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.
What is the total cost of the grill on the installment plan?
Answer:
Total cost of the grill installment plan = 2290
Step-by-step explanation:
370 + 1920 = 2290
Annabeth and Charlie are both on road trips. Annabeth’s distance, in miles, from New York t hours after 12:00 p.m. is modeled by this function.
Charlie travelled greater amount of time.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
D(t) = 60 |t- 3|
for, t=0
D(0) = 60*3 = 180
For t=1,
D(1) = 120
For t= 2
D(2) = 60
According to the data of Charlie and Annabeth it can bee seen that charlie had been travelling greater amount of time.
Learn more about function here:
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Answer:
Charlie!
Step-by-step explanation:
Which expression is equivalent to 2(3 - x) - 12 + 4x
1. 3x - 6
2. 3x - 7
3. 2x - 6
4. 2x - 7
A company produces two types of jackets; windbreakers and rainbreakers. The company has at most 61 hours of finishing time per week and 67 hours of packaging time per week. Each windbreaker jacket takes 59 minutes of finishing time and 21 minutes of packaging time per week, whereas each rainbreaker jacket takes 58 minutes of finishing time and 34 minutes of packaging time per week. The company's profit for each windbreaker and rainbreaker jacket is 28 and 41, respectively. Let x denote the number of windbreaker jackets they should produce and y denote the number of rainbreaker jackets they should produce. The company wants to maximize profit. Set up the Linear Programming Problem for this situation.
Answer:
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Step-by-step explanation:
As given ,
Windbreakers Rain breakers Total
Finishing time 59 min 58 min 61 hr
Packaging time 21 min 34 min 68 hr
Profit 28 41
Let
The number of windbreaker jackets they should produce = x
The number of rain breaker jackets they should produce = y
As given,
The company wants to maximize profit.
⇒ Maximum Profit , p = 28x + 41 y
Now,
As 1 hour = 60 min
⇒61 hours = 61×60 = 3660 min
and 67 hours = 67×60 = 4020 min
∴ we get
The equations become
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
So, the Linear Programming Problem (LPP) for this problem is -
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Write the following rate in simplest forms.
1. 333 calories burned in 55 minutes.
2. 4 million hits on a website in 16 months.
3. 279 points in 27 games.
4. $49 for 448 photos.
5. 6 pounds of zucchini for 24 servings.
Yoshi has a rope 30 feet long. He must cut it in pieces that are 1/4 foot long will he get more or fewer than 30 pieces
Answer:
More
Step-by-step explanation:
If we divide 30 by .25 we will get 120
Heyy can someone help me ¿? ;-; is for today ;-;
Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?
Step-by-step explanation:
she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three
Out of these, which is not an inequality?
a. 435 ≥ 5p + 4
b. g - 7 < 100
c. 18x + 9y
d. a > 6b
Answer:
C. 18x+9y
Step-by-step explanation:
Answer:
I think its the third one, C. Hope this helps!
solve and receive brain list
Answer:
x = 19/22
Step-by-step explanation:
8x-12+36x = 26
44x - 12 = 26
44x = 38 (add 12 on both sides)
x = 19/22 (divide bot sides by 44 and simplify)
Mid-Mod 3 Review
Name
1 Lisa used 5 orange juice containers, From the fust container, she poured out gallon of
orange juice. She then poured out 'h gallon from each of the four remaining containers,
a. How much orange juice did Lisa pour out in all? Show and label all your work.
If student D can solve 60% of multiple choice questions and Student B can solve 51% of the multiple choice questions and Student C can solve 57%. The students are unaware of each other.
a) At least one can be solved
b) Probability at most one of them can be solved
c) Probability that neither of them can be solved
d) Exactly two them can be solved
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 86 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 566 mg of cholesterol. How much cholesterol is in each item?
Answer:
cholesterol in egg= 273 mg
cholesterol in cupcake = 18 mg
cholesterol in slice of pizza = 9 mg
Step-by-step explanation:
Given data:
1 egg , 1 cupcake , 1 slice of pizza = 300mg
3 cupcakes , 4 slices of pizza = 90mg
2 eggs , 1 cupcake = 564mg
Let egg be x , let cupcake be y and let pizza be y
x + y + z = 300 (equation 1)
0x + 3y + 4z = 90 (equation 2)
2x + y + 0z = 564 (equation 3)
Using equation 1 and equation 2
x + y + z = 300 (Multiply equation by 3)
0x + 3y + 4z = 90
3x + 3y +3z =900
0x +3y +4z = 90 (Subtracting the equations)
3x - z = 810 (equation 4)
Using equation 2 and equation 3
0x + 3y + 4z = 90
2x + y + 0z = 564 (Multiply equation by 3)
0x + 3y + 4z = 90
6x +3y + 0z = 1692 (Subtracting the equations)
-6x +4z =-1602 (equation 5)
Solving equation 4 and equation 5
3x - z = 810 therefore z =3x -810
Substituting z into equation 5
-6x +4(3x - 810) =-1602
-6x + 12x - 3240 = -1602
6x = -1602+3240
6x = 1638
x = 273
Substituting x into z = 3x - 810
z = 3(273) - 810
z = 819-810
z = 9
Using equation 1 to find y
x + y + z = 300
273 + y + 9 = 300
282 + y = 300
y = 300-282
y = 18