Answer:
5/9 x 3/10 = 15/90 as simplified as 1/6 in fraction form.
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
We have,
To multiply fractions, we multiply the numerators together and the denominators together.
The resulting fraction is then simplified to its simplest form.
Let's multiply 5/9 by 3/10:
(5/9) x (3/10) = (5 x 3) / (9 x 10) = 15/90
To simplify the fraction 15/90, we can divide both the numerator and denominator by their greatest common divisor, which is 15:
15/90 = (15 ÷ 15) / (90 ÷ 15) = 1/6
Therefore,
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
Learn more about fractions here:
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If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.
Answer:
[tex](7,-11)[/tex]
Step-by-step explanation:
Given
[tex]S = (1,5)[/tex]
[tex]M = (4,-3)[/tex]
Required
Determine the coordinates of T
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (4,-3)[/tex]
[tex](x_1,y_1) = (1,5)[/tex]
Substitute these values in the above formula:
[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]
Multiply through by 2
[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]
[tex](8,-6) = (1 + x_2,5+y_2)[/tex]
By direct comparison:
[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]
Solving for x2
[tex]1 + x_2 = 8[/tex]
[tex]x_2 = 8 - 1[/tex]
[tex]x_2 = 7[/tex]
Solving for y2
[tex]5 + y_2 = -6[/tex]
[tex]y_2 = -6 - 5[/tex]
[tex]y_2 = -11[/tex]
Hence, the coordinates of T is: [tex](7,-11)[/tex]
what is an equation of the line that passes through the points (-2,-7) and (-1,-3)
Answer:
y=4x+1
Step-by-step explanation:
First you need to solve for slope using the equation:
y2-y1/x2-x1
It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.
(-3)-(-7)/(-1)-(-2)=-4/-1=4
Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.
(Lets use point one)
-7=4(-2)+b
-7=--8+b
1=b
Last we can put it all together.
y=4x+1
3
2
Show gred
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sin - cos - tan-
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Answer:
The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
Step-by-step explanation:
We need to calculate the gradient of the graph
The gradient of graph is actually slope of the graph.
The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Taking any 2 points on graph i.e
(1,0) and (-1,-3)
We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]
Putting values and finding gradient:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]
So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
Use a system of linear equations with two variables and two equations to solve.
205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.
Answer:
passed: 164
failed: 41
Step-by-step explanation:
Let the failed students be x, then the passed students will be 4x.
x + 4x = 205
x = 205/5 = 41
4x = 4*41 = 164
pleaseee I need help
Answer:
whith whut
Step-by-step explanation:
What is a number that could be placed in the blank to complete this set from least to greatest?
2/5, 1/2,----,6/8
Answer:
4/10, 5/10, 6/10
I'm guessing 6/10 simplified into 3/5
Help me Please 20 POINTS
When two variables are in a proportional relationship, which of the following is true about
1 their values.
2 their sums are a constant
3 their differences are a constant
4 their products are a constant
5 their quotients are a constant
Answer:
(5)
for eg;
3/5 is proportional to 15/25
Answer:
I would say 1 or 4
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
The county fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 9 vans and 10 buses with 659 students. High School B rented and filled 8 vans and 8 buses with
536 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.
Van 12. Bus: 52
Van: 16, Bus: 75
Van 7. Bus:41
Van: 11. Bus: 56
Answer:
35
Step-by-step explanation:
Write a division problem that has a quotient of 12.
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 12.
Which statement is most likely to show a constant rate of change???
A. The outside temp compared with the time of day.
B. The cost of a new car compared with the number of tires it has.
C. The weight of a child compared with its age in months.
D.The distance traveled by a truck driving at a constant speed compared with time.
I believe you answer would be D) The distance traveled by a truck driving at a constant speed compared with time.
The height (in feet) of a certain rocket t seconds after it leaves the ground is modeled by
h(t) = - 16t^2 + 48t. What is the shortest time it takes the rocket to reach a height of 35feet. Be
sure to include units. Round to the hundredths place.
Answer:
The answer is 1/2 second
Step-by-step explanation:
Hope this helps
YALLL PLEASE HELP ME I WILL MARK BRANLIEST IF CORRECT PLEASE HELP!!!!!!!!
Write an equation in point slope form for the line that goes through the point (2,3) and has a slope of 4.
Answer:
y=4x-5
Step-by-step explanation:
y=Mx+b
y=4x+b
3=4(2)+b
3=(8)+b
-5=b
What is: 7x + 1.8 + 2.2 = 30
Step-by-step explanation pls! :)
What is 15% of 40?
02
О 4
05
06
Answer:
6
Step-by-step explanation:
Multiply 40 by 15%, or 0.15.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{15}{100} \times 40 = \\ [/tex]
[tex] \frac{15 \times 40}{100} = \\ [/tex]
[tex] \frac{600}{100} = 6 \\ [/tex]
Thus 15% of 40 is 6 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
if four out of 10 people vote then in a town with 200,00 people how many will vote
Answer:
80,000
Step-by-step explanation:
You see all you have to do is find out what 200,000 divided by 10 is : 20,000 then multiply that by four leaving you with a answer of 80,000.
One cause of major climate changes is the position of Earth relative to the _________________.
please help due in ten minutes!
thanks :)
Answer:
The recent role of the greenhouse effect
Step-by-step explanation:
Distributive property is a property of equality?
- True
-False
Answer:
Its True
Step-by-step explanation:
PLEASE HELP!! Serious answers only please!!
Use the expression 9i+2(7+3i) to answer this question!
Which property or properties should you use to simplify this expression?
Apply those properties to each term
Answer:
Step-by-step explanation:
Use the distributive property to get rid of the brackets.
9i + 2*7 + 2*3i Use the multiplication property to simplify the imaginary terms
9i + 2*3i + 2*7 Do the same to the real term
9i + 6i + 14 Use the addition of like terms property
15i + 14 And that's your answer.
You may not like my terminology, but you have to remember that every text teaches this differently.
1. Express 0.00456 in standard form.
Answer:
Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, your example is written in standard form.
Answer: 4.56 x 10^-3
Step-by-step explanation: To convert scientific notation to standard form, all you have to do is move the decimal to the left or the right until you get a number that is more than 1 and less than 10, then count however many spaces you had to move and add that as your exponent over 10 (if you move left, the exponent is positive, and right is negative). Basically, this just lets you know that the actual number is that many times smaller or larger than the number in your answer.
YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3
Answer:
y=5x-3
Step-by-step explanation:
it just is
Answer:
y=5x-3
Step-by-step explanation:
Find d^2y/dx^2 if 5x^3 - y^3 = 25
A. -250x/y^5
B. (10x(y^2-x))/y^3
C. 5x^2/y^2
D. (10(y^2-5x^4))/y^3
E. 30x - 6y
Answer:
[tex]y''=\frac{-250x}{y^5}[/tex]
Choice A.
Step-by-step explanation:
We are given:
[tex]5x^3-y^3=25[/tex]
We are asked to find:
[tex]\frac{d^2y}{dx^2}[/tex]
This requires we first find:
[tex]\frac{dy}{dx}[/tex]
Let's begin.
We will differentiate the right hand side using the constant rule since 25 is just a constant. We will differentiate the left hand side using difference rule and then constant multiple rule and then power rule and chain rule.
[tex](5x^3-y^3=25)'[/tex]
[tex](5x^3-y^3)'=(25)'[/tex]
[tex](5x^3)'-(y^3)'=0[/tex]
[tex]5(x^3)'-(y^3)'=0[/tex]
[tex]15x^2-3y^2y'=0[/tex]
Now let's solve for [tex]y'[/tex].
Add [tex]3y^2y'[/tex] on both sides:
[tex]15x^2=3y^2y'[/tex]
Divide both sides by [tex]3y^2[/tex]:
[tex]\frac{15x^2}{3y^2}=y'[/tex]
Symmetric property of equality:
[tex]y'=\frac{15x^2}{3y^2}[/tex]
Simplify right hand side:
[tex]y'=\frac{5x^2}{y^2}[/tex]
Now let's find the second derivative by differentiating both sides of this equation. We will use the quotient rule on the right hand side:
[tex]y''=\frac{(5x^2)'y^2-5x^2(y^2)'}{(y^2)^2}[/tex]
[tex]y''=\frac{10xy^2-5x^2(2yy')}{y^4}[/tex]
We can replace [tex]y'[/tex] with [tex]\frac{5x^2}{y^2}[/tex]... since we just got this result before differentiating both sides of an equality again.
So we have:
[tex]y''=\frac{10xy^2-5x^2(2y\frac{5x^2}{y^2})}{y^4}[/tex]
Let's simplify the 2nd term on top by cancelling a common factor of y in that term from top and bottom:
[tex]y''=\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
We still don't like having this compound fraction (a mini fraction inside a bigger fraction). Let's get rid of that...Multiply numerator and denominator by [tex]\frac{y}{y}[/tex] for the big fraction to clear the mini fraction out.
[tex]y''=\frac{y}{y}\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
Distribute:
[tex]y''=\frac{10xy^3-5x^2(2)5x^2}{y^5}[/tex]
Simplifying a bit more:
[tex]y''=\frac{10xy^3-50x^4}{y^5}[/tex]
We could factor the top a bit... both terms on top of a common factor of [tex]10x[/tex]:
[tex]y''=\frac{10x(y^3-5x^3)}{y^5}[/tex]
Notice the thing in ( ) on top is the exact opposite of the left hand side of our original equation: [tex]5x^3-y^3=25[/tex].
This implies we can replace it with -25:
[tex]y''=\frac{10x(-25)}{y^5}[/tex]
[tex]y''=\frac{-250x}{y^5}[/tex]
May u please help me ill give out the brainly
Answer:
24x+18y+10
Step-by-step explanation:
start by distributing so 6*4x and 6*3y
that give you 24x+18y+10
solve for m (8m+4) 38 degrees
Answer:
305m+152
Step-by-step explanation:
(8m+4)38
Multiply each term in the parentheses
8m times 38 plus 4 times 38
Multiply 8m times 38
304m plus 4 times 38
Then Multiply 4 times 38
304m+152
That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.
A long year-end status report for work is 81 pages long. You need to print 12 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.96 each.
Give your answer to the nearest cent, only for the paper you use (partial reams are OK)
Answer:
770cents
Step-by-step explanation:
If a report is 81 pages long, 12 copies will be (81 * 12)pages long
12copies = 972 pages long
If 500 pages costs $3.96 each
972 pages will cost $x
Cross multiply
500x = 972 * 3.96
500x = 3,849.12
x = 3,849.12/500
x = 7.69824
Hence the cost of the reports is $7.69824
Convert to cents;
$1 = 100cents
$7.69824 = y
y = 7.69824 * 100
y = 769.824 cents
y ≈ 770 cents (to the nearest cent.)
Hence the paper is going to cost 770cents (to the nearest cent)
Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is counted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.
Answer:
The answer is "np(1+p)".
Step-by-step explanation:
[tex]N_1[/tex] = Number of n tossed heads
According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads
So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)
[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]
[tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]
Please help please help,! :( this is urgent!
Answer: A
Step-by-step explanation:You are painting a 1/3 of a 1/4 so it's A
Anna is x years old, her sister Jane is y years younger. What will the sum of there ages be in 3 years. SORRY IM DUMB
You are not dumb. No one is dumb. Einstein failed math in high school.
Anna is x years old.
Jane is y years younger.
This means the Jane is x - y years old.
In three years, Anna will be x + 3 years old.
In three years, Jane will be (x - y) + 3 years old.
Let S = the sum of their ages in 3 years.
S = x + 3 + (x - y) + 3
S = 2x + 6 - y
Got it?
Help I will give brainliest
A 12 inch board is cut into three pieces so that the second piece is as long as the first piece and the third piece is 3 times as long as the first piece of x represents the first piece find the lengths
Step-by-step explanation:
well that seems like a you problem lol
Doug rents a kayak for 12 days. The rental charge is $18 per day. Which is the
best estimate for the total cost of the kayak rental?
Answer:
Yes
Step-by-step explanation: