Answer: b)
Step-by-step explanation: answer is b because im smart and its very easy
simplify (3x+2) (y-2) - (7y+3) (y-3)
Answer:
3 x y − 7 y 2 − 6 x + 20 y + 5
Step-by-step explanation:
Mrs.Rodriquez is purchasing trophies for each child that plays little league she wants to spend no more than $7.00 per thropy
Answer:
7 trophies for $49.00
5 trophies for $30.00
-----------------------------------
Explination:
It says that she wants to pay no more than 7 dollars for each trophy she buys, which means 7 and less. So we have to multiply 7 x the number of trophies, And if it gives you the excact number or less its correct.
So we multiply
7 x 7 = 49 (The excact number, correct)
9 x 7 = 63 (The price they are selling it at is higher, incorrect)
12 x 7 = 84 (The price they are selling it at is higher, incorrect)
5 x 7 = 35 (Paying less, Correct)
3 x 7 (The price they are selling it at is higher, incorrect)
---------------------------------------------------------------------------------------
Its really easy if you put your mind into it! Goodluck <3
A train travels at 45 mph for 3 h and then increases its speed to 55 mph for 2 more hours. How far does the train travel in the 5-hour period
Answer:
245milesStep-by-step explanation:
Step one:
given that the first 3 hours the train travels at a speed of 45 mph.
i.e Time = 3 hours
speed =45 mph
distance=?
we know that speed = distance/time
distance= speed*time
distance= 45*3
distance=135miles
Step two:
For the nex two hours it travels at 55 mph
i.e time= 2hours
speed= 55mph
distance=?
distance= speed*time
distance= 2*55
distance= 110mile
Step three:
Hence for a total of 5 hours drive, the total distance covered is
135+110= 245miles
If I work four days from 6-4:30 and earn $600. How much of taxes is being taken off my check
Answer:
80$
Step-by-step explanation:
Consider the numbers z = 3√2(cos(135°) + i sin(135o) and w = cos(180o) + i sin(180°).
Which expression is closest to the polar form of z + w?
Answer: A
5(cos(143o) + i sin(143o))
Step-by-step explanation:
The expression that is closest to the polar form of z + w is
[tex]5(cos(143^{\circ})+i~sin(143^{\circ}))[/tex]
What is complex number?"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is polar form of the complex number?"The polar form of the complex number z = x + iy is [tex]z=r(cos(\theta)+i~sin(\theta))[/tex] where [tex]r=\sqrt{x^{2} +y^{2} } , ~\theta=tan^{-1}(\frac{y}{x} )[/tex] "
For given question,
We have been given two complex numbers.
[tex]z = 3\sqrt{2} (cos(135^{\circ}) + i~sin(135^{\circ})[/tex] and [tex]w = cos(180^{\circ}) + i~sin(180^{\circ})[/tex]
We know that,
[tex]cos(135^{\circ})\\=cos(90^{\circ}+45^{\circ})\\=-sin(45^{\circ})\\=-\frac{1}{\sqrt{2} }[/tex]
And
[tex]sin(135^{\circ})\\=sin(90^{\circ}+45^{\circ})\\=cos(45^{\circ})\\=\frac{1}{\sqrt{2} }[/tex]
So, the first complex number would be,
[tex]z = 3\sqrt{2} (cos(135^{\circ}) + i~sin(135^{\circ})\\\\z = 3\sqrt{2} (-\frac{1}{\sqrt{2} } + i~\frac{1}{\sqrt{2} } )\\\\z=-3+3i[/tex]
We know that [tex]cos(180^{\circ})=-1,~~sin(180^{\circ})=0[/tex]
So the second complex number would be,
[tex]w = cos(180^{\circ}) + i~sin(180^{\circ})\\\\w = -1 + 0i[/tex]
So, the sum of complex numbers z and w would be,
[tex]z+w\\=(-3+3i)+(-1+0i)\\=-4+3i[/tex]
We write the complex number -4 + 3i in the polar form.
Comparing above number with x + iy, we have x = -4 and y = 3
[tex]\Rightarrow r=\sqrt{(-4)^2+3^2}\\ \Rightarrow r=5[/tex]
Also, the value of [tex]\theta[/tex] would be,
[tex]\theta=tan^{-1}(\frac{3}{-4} )\\\\\theta= -36.86^{\circ}\\\\\theta=180^{\circ}-36.86^{\circ}\\\\\theta=143.14^{\circ}[/tex]
So the complex number -4 + 3i in the polar form would be, [tex]5(cos(143.14^{\circ})+i~sin(143.14^{\circ}))[/tex]
Therefore, the expression that is closest to the polar form of z + w is
[tex]5(cos(143^{\circ})+i~sin(143^{\circ}))[/tex]
Learn more about polar form of complex number here:
https://brainly.com/question/917768
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If 1 inch represents 10 miles on a map then how many inches will represent 120 miles ?
Answer:
12 inches
Step-by-step explanation:
We can write this as a proportion:
inches/miles = inches/miles
1/10 = x/120
Solving for x, we get 12 inches.
What is -15 = x/-0.5
Solve for X
Answer:
7.5
Step-by-step explanation:
you need to get the X alone so you multiply both sides by -0.5.
that leaves you with x=7.5
A recent telephone poll of 1000 randomly selected adults revealed that 2 in 10 adults believe there has been progress in finding a cure for cancer in the last 28 years. Describe the population, sample, population parameters, and sample statistics.
Answer:
Explained below.
Step-by-step explanation:
A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.
In this case, the population consists of all people in the country.
A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.
In this case, the sample consists of 1000 randomly selected adults.
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
In this case, the population parameter is the proportion of adults who believe there has been progress in finding a cure for cancer in the last 28years.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
In this case, the sample statistic is the 0.20 proportion of adults believe there has been progress in finding a cure for cancer in the last 28 years.
Andre looks at a box of paper clips. He says: "I think the number of paper clips in the box is less than 1,000."
Lin also looks at the box. She says: "I think the number of paper clips in the box is more than 500."
Choose an inequality to show Andre's statement, using LaTeX: p
p
p
for the number of paper clips.
Group of answer choices
p > 1000
1000 > p
Answer:
Andre says: "I think the number of paper clips in the box is less than 1000.
The equality that shows Andre's statement, or information:
p p p (for the number of clips)
So,
p>1000
1000>p
Hope that helps...
what is the equation of the line that passes through (20, 500) and (16, 300)
hi there! here's my answer for you...
Answer:
y = 50x − 500
Explanation:
Use the slope formula and slope-intercept form y = mx + b to find the equation.
hope this helps. have a good one!
what is the quotient of(x^3+3x^2+5x+3) divided by (x+1)
I hope it is helpful for you....
PLZZZZ ANSWER FAST. THANK YOU!
Answer:
3 ounces of water
Step-by-step explanation:
Ratios are equivalent:
6:4 is equivalent to 3:2
Juan got grades of 68 and 73 on his first two math tests. What grade must he get on the third test if all were weighted equally and he wants to raise his grade to a 75 average?
Answer: 84
Step-by-step explanation: Multiply 75 by 3. That is 225, and is the value the three numbers must add up to. 73+68=141. 225-141 is 84.
Write the fractional equivalent (in reduced form) to each number
10
0.125 =
0.16
Consider the limaçon with equation r = 3 + 4cos(θ). How does the quotient of a and b relate to the existence of an inner loop?
A polar graph that is a limacon has a formula similar to [tex]r=a+bcos\theta[/tex]
Option B is correct.
A limacon has a formula similar to [tex]r=a+bcos\theta[/tex]
Case 1 . If a < b or [tex]\frac{b}{a}>1[/tex]
Then the curve is limacon with an inner loop.
Case 2. If a>b or [tex]\frac{b}{a}<1[/tex]
Then the limacon does not have an inner loop.
Here, given that, [tex]r=3+4cos\theta[/tex]
It is observed that, a < b or [tex]\frac{b}{a}>1[/tex]
Therefore, the curve is limacon with an inner loop.
Hence, option B is correct.
Learn more:
https://brainly.com/question/10381605
Rainfall was 6 inches in September and 4.9 inches in October. What was the difference in rainfall?
Answer:
1.1
Step-by-step explanation:
6-4.9=1.1
Hope I helped!
Please mark Brainliest!!!
Answer:
1.1
Step-by-step explanation:
it's easy you just subtract.
A scientist needs 80 liters of a 30% solution of alcohol. She has a 20% solution and a 60% solution available. How many liters of the 20% solution and how many liters of the 60% solution should she mix to make the 30% solution?
Answer:
60 liters of 20% solution & 20 liters of 60% solution
Step-by-step explanation:
80*0.3=.2x+0.6(80-x)
24=0.2x+48-0.6x
-24=0.2x-0.6x
-24=0.4x
24=0.4x
60=x
Hope this helps!! This is step by step btw!
-4x+6y=-7
-13x-2y=-4
Elimination or substitution
Answer:
substitution
Step-by-step explanation:
Find the amount that results from investing $5000 at 3% compounded continuously for 5 years. Round your
answer to two decimal places.
Answer:
The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800
Step-by-step explanation:
We are given:
Principal Amount (P) = $5000
Years (t) = 5
Rate (r) = 3% or 0.03
We need to find New Amount (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Since amount is compounded continuously so n=1
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.03}{1})^{1*5}\\A=5000(1+0.03)^5\\A=5000(1.03)^5\\A=5000(1.16)\\A=5800[/tex]
So, New Amount (A) = $5800
The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800
Does anyone know the solution to this question
Answer:
Graph A
Step-by-step explanation:
3x+y=5
y=-3x+5
4x-y=2
-y=-4x+2
4=2x-2
Jessica can swim a lap in 29 2/5 seconds, Marta can swim a lap in 28.7 seconds, Marta can swim a lap in 28.7 seconds, how much faster can Marta swim a lap than Jessica.
Answer:
Marta can swim a lap 0.7 or seconds faster than Jessica
ion f (x) = -2(x+8)+11
Standard form
A jogger is running home. His distance from home, as a function of time, is modeled by y=-7x +8.
Which statement best describes the function?
A. The function is nonlinear.
B. Not enough information is given.
C. The function is linear at some points and nonlinear at other points.
D. The function is linear.
Answer: the function is a liner
Step-by-step explanation: trust
Why are post hoc test preferred over several t-test
Consider the system of equations below. What could be the first step in solving by elimination?
The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.
Answer:
Subtracting the 2 equations
Step-by-step explanation:
3x + 5y = 16
3x + 2y = 10
Subtract it;
3y = 6
Divide both sides b 3;
y = 2
Substitute y;
3x + 5y = 16
3x + 5(2) = 16
3x + 10 = 16
Subtract 10 from both sides;
3x = 6
Divide both sides by 3;
x = 2
(x, y) = (2, 2)
A certain shampoo is available in two sizes. A 13.5 ounce bottle costs $2.19, A 29.2 ounce bottle costs $5.37. Find the unit price for each size. then state which size is the better buy based on the unit price. Round your answers to the nearest cent.
Answer: 13.5 is better
Answer:
Look at the..
Step-by-step explanation:
Screenshots c:
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, while profits increased $30 million per year. Select the correct graph of this function. (2 points)
A)There is a graph of a line that has a y intercept that is approximately $80 million and passes through the point of approximately x equals 2 years and y equals $140 million.
B)There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.
C)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 2 years.
D)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 0.6 years.
Answer:
I am not really good at this but...if I had to choose the ones that make sense
A and B
Step-by-step explanation:
Your are incresing the amount is going up, so if you go backwards you woild have to the negatuves.
Then again I woild not trust my math for the second answer cause I am no good at math.
You finance a $500 car repair completely on credit, you will just pay the minimum payment each month for the next three months. The APR is 18.99% and the minimum payment each month is 4% of the balance. Determine the finance charge, carry-over balance, and minimum payment required for each of the next two months, and the starting balance for month 2 in the table below.
Answer:
Determination of the Finance Charge, Carry-over balance, Minimum Payment for each of the next two months:
Finance Charge:
First month = $7.91
Second month = $7.72
Carry-over balance:
First month = $487.59
Second month = $475.50
Minimum Payment:
First month = $20.32
Second month = $19.81
Starting balance (Carry-over balance + Finance charge):
First month = $507.91
Second month = $495.31
Step-by-step explanation:
a) Data and Calculations:
Credit Finance = $500
APR = 18.99%
Minimum monthly payment = 4% of the balance
Monthly rate of interest = 0.1899/12 = 0.015825
Finance Charge:
First month = $7.91 ($500 * 0.015825)
Second month = $7.72 ($487.59 * 0.015825)
Carry-over balance:
First month = $487.59($507.91 - $20.32)
Second month = $475.50 ($495.31 - $19.81)
Minimum Payment:
First month = $20.32 ($507.91 * 4%)
Second month = $19.81 ($495.31 * 4%)
Starting balance (Carry-over balance + Finance charge):
First month = $507.91 ($500 + $7.91)
Second month = $495.31 ($487.59 + $7.72)
Kelsey and her 4 sisters spent an equal amount of time cleaning their home. their parents added their times. they found that each of the five girls spent three hours cleaning. let c be the total number of hours the girls spent cleaning right and solve a division equation to find the total number of hours the girls spent cleaning
Answer:
15 hours
Step-by-step explanation:
Kelsey + 4 sisters = 5 girls
Each of the 5 girls spent three hours cleaning
Usually, I would do 5 x 3 = c, but since we need to use a division equation, we should use c / 5 = 3 OR c / 3 = 5.
c/5 = 3
3 x 5 = 15
Check: 15/ 5 = 3
Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
2 and one-half
3
3 and one-half
5
Answer:
3
Step-by-step explanation: