Answer:
-3+i
Step-by-step explanation:
Collect like terms
-2-1=-3
+3i-2i=i
-3+i
The revenue generated by a company manufacturing lawn mowers is
R=−0.9x2+90.2x , where x represents the number of mowers produced. The cost to produce the mowers is C=29x+500 , where x is the number of mowers produced.
The profit generated in terms of x is −0.9x²+61.2x - 500
How to calculate profit functionsGiven the following parameters
Revenue generated by a company = R=−0.9x²+90.2x
The cost to produce the mowers C(x) = 29x + 500
Determine the profit function
p(x) = R(x) - C(x)
P(x) = −0.9x²+90.2x - (29x + 500)
P(x) = −0.9x²+90.2x - 29x - 500
P(x) = −0.9x²+61.2x - 500
Hence the profit generated in terms of x is −0.9x²+61.2x - 500
Learn more on profit function here: https://brainly.com/question/25638609
Solve the following equations
|3x-4(x+1)|=2
Answer:
x = -6 or x = -2
Step-by-step explanation:
|3x-4(x+1)|=2
Simplify inside the absolute value by distributing
|3x-4x-4|=2
Combine like terms
|-x-4|=2
Now separate into two equations, one positive and one negative
-x-4 = 2 or -x-4 = -2
Add 4 to each side
-x-4+4 = 2+4 or -x-4 = -2+4
-x = 6 or -x =2
Multiply by -1
x = -6 or x = -2
pls help fast!!! will give brainliest!!!!!!
Answer:
A. About 47.5π
B. About 149.1
Please help me I’ll mark brainly
Answer:
Step-by-step explanation:
First box: (3/4)*b
Second box (3/4 * -8)
third box (3/4b)
fourth box: -6
5th box: 12
i need help right now please !!!!!
Answer:
x+50+4x=90(being complementary angle)
5x+50=90
5x=90_50
5x=40
x=40÷5
x=8
first we add those both numbers, x+4x=5x and we divide it with 40(40÷5) and the solution comes.
16.
The least common denominator of 1/2, 1/8, and 1/10 is
O A. 10.
OB. 80.
C. 40.
D. 16.
n
Mark for review Awill be biabliabted on the review page)
One small question in attached, shouldn't take long. thanks for help
Which point is located at (–0.50, –1.25)?
Point
Answer:
Hopefully, this helps you!!
:3
Here's a graph!
Have a great day!!
[tex]Sokkachan[/tex]
Answer:
Point W
Step-by-step explanation:
I need help figuring out the answers
Answer:
The answer would be The answer would be 26 meters squared.
Step-by-step explanation:
1. Identify three rectangles
(The ones I identified were 5 by 2 [twice!] and 3 by 2)
2. Do 5x2 (10)
3. Do 5x2 again (10)
4. Do 3x2 (6)
5. Add 10, 10, and 6, to get 26
6. Label to get 26 meters squared. I hope this helps! :)
Mike earns $15 per hour and Sara earns $34 per hour. What is the relative change in wages from Mike to Sara?
In the equation 3s +135= 4.5 (s +10) what is s
Peter went to a store. He bought 6.4 pounds of onions, potatoes, and hamburger. If 1.18 pounds was hamburger and 4.75 pounds were potatoes, how many pounds of onions did
Peter buy?
Answer:
0.47 pounds
Step-by-step explanation:
Simple subtraction!
Total pounds = pounds of onions + pounds of potatoes + pounds of hamburger
Setting the pounds of onions to [tex]x[/tex] we get:
[tex]6.4 = x + 1.18 + 4.75[/tex]
[tex]x=0.47[/tex]
So we get 0.47 pounds of onions!
Stuck on this math question can anyone help me please?!?
Answer:
1) f(-6) = 8
2) f(3) = -2
3) f(x) = -5 when x = 4
Find the area
A. 300 units
B. 520
C. 500 units
Answer:
b.520 units
Step-by-step explanation:
find the area of the bigger triangle the base is 20 which is 10×2 while the height is 28. 1/2×20×28=280units find the area of the smaller triangle. the base is also 20 while the height is 24. 1/2×20×24=240. sum the areas of the two triangles. 280+240=520units
When K is negative the parabola ………..
Answer:
has its vertex below the x-axis
Step-by-step explanation:
In the vertex form equation for a parabola, the parameter k is the y-coordinate of the vertex.
__
When k is negative, the parabola has its vertex located below the x-axis.
According to the Mars company, packages of milk chocolate M&Ms contain 20% orange candies. Find the probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies.
Using the normal distribution, it is found that there is a 0.383 = 38.3% probability that the sample proportion is between 18% and 22%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, the proportion and the sample size are of p = 0.2 and n = 100, respectively, hence:
[tex]\mu = p = 0.2[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.2(0.8)}{100}} = 0.04[/tex]
The probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies is the p-value of Z when X = 0.22 subtracted by the p-value of Z when X = 0.18, hence:
X = 0.22:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.2}{0.04}[/tex]
Z = 0.5
Z = 0.5 has a p-value of 0.6915.
X = 0.18:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.18 - 0.2}{0.04}[/tex]
Z = -0.5
Z = -0.5 has a p-value of 0.3085.
0.6915 - 0.3085 = 0.383.
0.383 = 38.3% probability that the sample proportion is between 18% and 22%.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
What is the measure of angle A in the triangle below?
us
B
18
9
A
A
С
30°
o 45°
60°
90°
To find the measure of Angle A, we'll need to use a trigonometric function.
Remember: SOH-CAH-TOA
Looking from Angle A, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.
sin(A) = 9 / 18
---To solve for A, you'll need to use the inverse sin function on your calculator. It should look like so: sin^-1()
The inverse sin of 1/2 = 30
Answer: first option, 30 degrees
Hope this helps!
Is triangle ABC congruent to triangle DEC? If so, write an argument to prove you are right.
Answer:
If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF
Step-by-step explanation:
qwe
A bag of candy contains 50 pieces of candy. The flavors are orange, strawberry, apple and
lemon. You know there are 12 orange candies. You pick an orange, put it back because you don'tlike orange and then pick a strawberry. The probability of this happening is 9/125. How many
strawberry candies are there?
Answer:
15
Step-by-step explanation:
Let the probability of picking an orange = P(O), and the probability of picking a strawberry = P(S),
Based on the question, he picked an orange first and the probability of picking that is
P(O) = 12/50
Then he picked a strawberry on the second pick, the probability of picking the strawberry is P(S) and we'll find that later.
The probability of picking orange then strawberry with replacement is
P(O) × P(S) = 9/125
Substitute the P(O)=12/50,
12/50 × P(S) = 9/125
P(S) = 3/10
Then by finding the number of strawberry candies, we'll just have to multiply P(S) with the total number of candies, i.e.
Number of strawberry candy
= 3/10 × 50
= 15
help help help got math math
Answer:
>
Step-by-step explanation:
This is the greater than symbol. Think of it like an alligator mouth that wants to eat the larger number. 3.2 is larger than -99.
Answer:
3.2 > -99
Step-by-step explanation:
3.2 ? -99
3.2 (positive number)
-99 (negative number)
Positive numbers are always bigger than negative numbers
3.2 ? -99
3.2 > -99
Hope this helps!
Put these numbers in order from least to greatest "-5" 13 4 10 "-1"
Answer:
-5, -1, 4, 10, 13
Step-by-step explanation:
the larger the negative, the smaller the number
5 + 5 ? please answer tricks
Answer: 5 + 5 = 10
Reason: Imagine that you have 5 pencils in one hand, then you add another 5 pencils into that hand, and you would have 10 pencils. Thus 5 + 5 in this case is 10
Hope that helps!
answer the following question
Answer:
Letters as in the attached image.
Triangles ABC and ADC are congruent by SSS. From that, corresponding angles are congruent, in parcicualre B and D, both measuring 94°.
Final angle is obtained by difference. The internal angles of a quadrilater add to 360, so the remaining is 360-90-94-94 =82°
Given the data 12,39,21,18,24,17,12,25
Answer:
12,39,21,18,24,17,12,25
Step-by-step explanation:
which best represents the relationship between x and y
y=2x
y=x+2
y=4x
y=x+4
Answer:
In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is two more than the value of x.
Same for the y=4x and y=x+4, just plug the numbers into the sentence.
Step-by-step explanation:
Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=(4/3)x
Answer:
Step-by-step explanation:
Hello:
an equation for the line is : y =mx +b (m: is a slope )
perpendicular to the line described by : y = 4/3 x
So : product for two slopes = -1 means : m×4/3=-1
m = -3/4
now : y = -3/4 x+b
but this line :
through the point (4,2) : 2 =(-3/4)(4)+b....... b=5
conclusion :
the equation is : y = -3/4x +5
Factorize the given expressions below.
a) 6x power 2 -3x
b) x power 2 + 3x - 28
c) 4au + 24av - 5bu - 30bv
please answer and make it clear. give them brainlest answer.
[tex]\textbf{a)}\\\\6x^2 -3x = 3x(2x-1)\\\\\textbf{b)}\\\\x^2+3x -28 \\\\=x^2 +7x-4x-28\\\\=x(x+7)-4(x+7)\\\\=(x-4)(x+7)\\\\\textbf{c)}\\\\4au+24av-5bu-30bv\\\\=4a(u+6v)-5b(u+6v)\\\\=(u+6v)(4a-5b)[/tex]
Step-by-step explanation:
A.6x^2-3x
3x(2x-1)
B.x^2+3x-28
product= -28x^2 sum= +3x factors= +7x, -4x
(x^+7x)(-4x-28)
x(x+7)-4(x+7)
(x-4)(x+7)
C.4au + 24av -5bu - 30bv
4a(u+6v)-5b(u+6v)
(4a-5b)(u+6v)
A middle school principal wants to change the lunch menu. The principal surveys the students to determine how the students would feel about the change. What served method will produce the best repersentative sample
A)survey every 5th student who rides in a car to school
B)survey 3 randomly selected students from every homeroom
C) survey every 10 7th grade student during lunch
D) survey 5 randomly selected students
Answer:
B
Step-by-step explanation:
B is the best answer because it's a lot of students and unbiased
A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy if
the volume is 729 cubic inches?
Answer:
[tex]\huge\boxed{\sf h = 6.75 \ in.}[/tex]
Step-by-step explanation:
Given Data:
Base area = [tex]A_{B}[/tex] = 108 in.²
Volume = V = 729 in.³
Required:
Height = h = ?
Formula:
[tex]V=A_{B}h[/tex]
Solution:
For h, rearranging formula:
[tex]\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}[/tex]
Medication with strength 125 mg/5 mL has been ordered at 25 mg/kg. The patient weighs 215 lb. How much should be
administered? (If less than 1, round to the nearest hundredth; otherwise, round to the nearest tenth.)
The amount of mg required per kg for the patient is 2,438.1mg/kg
Ratios and proportionsProportions are ratios of two integers.
Given the medication with a strength 125mg/5ml which has been ordered at 25 mg/kg.
For a patient that weighs 215lb, the weight in kg will be 97.5224kg
Since 25mg = 1 kg
x = 97.5224kg
x = 25 * 97.5224
x = 2,438.06
Hence the amount of mg required per kg for the patient is 2,438.06mg/kg
Learn more on ratio and proportion here: https://brainly.com/question/19994681