Answer:
Step-by-step explanation:
Givens
y2 = y/x
y1 = 1
x2 = 1/y
x1 = 1/x
Formula
m = (y2 - y1) / (x2 - x1)
Solution
m = (y/x - 1) / (1/y - 1/x)
m = ( (y - x)/x ) / ((x - y)/xy)
m = (-(x - y) / x) / ( (x - y) / xy)
Invert the denominator and multiply
m = ( - (x - y) / x ) * x*y / (x - y) Notice x - y cancels.
m = ( - 1 / x ) * (x*y) Notice the xs will cancel.
m = ( - 1 / y) There are no xs anywhere. The slope is - 1/y
Answer: Hello there!
If you have the set of points (x1, y1) and (x2, y2), the slope of the segment whit this endpoints is:
[tex]a = \frac{y2 - y1}{x2 - x1}[/tex]
Now, we have the endpoints (1/x, 1) and (1/y, y/x), the slope of this segment is:
[tex]a = \frac{y/x - 1}{1/y - 1/x}[/tex]
Let's simplify it:
[tex]\frac{y/x - 1}{1/y - 1/x} = \frac{(y-x)/x}{(x - y)/x*y} = \frac{\frac{y-x}{x} }{\frac{-(y-x)}{y*x} }= y*\frac{\frac{y-x}{x} }{\frac{-(y-x)}{x} } = y*(-1) = -y[/tex]
Then the slope of the segment is a = -y, and it does not depend of x
an average person has 6x10 2power times as many red blood cells as white blood cells. A small sample of blood has 7x10 3power white blood cells. about how many red blood cells are in the sample
Answer:
4.2×10to the 6th or 4,200,000
Step-by-step explanation:
First you have to know that you are multiplying these two numbers. When you multiply exponents like there you add the matissa's (6&7) and add the exponents.
6×10to the 2 * 7×10to the 3rd
42 × 10to the 2+3
42×10to the 5th
Something else you need to know is your matissa cant be higher than 10
So:
4.2 × 10to the 6th is your answer
The sample contains 42 × 10⁵ red blood cells.
What happens when same base is multiplied ?When same base is multiplied their powers gets added.
For example - a×a×a×a×a×a = a⁶.Here a has nothing in it's power means it has 1 to it's power.
According to the given question
For every 1 while blood cells an average person has 6x10² times as many red blood cells.
A small sample of blood contains 7 × 10³ white blood cells.
∴ The amount of red blood cells in the sample is
= (7 × 10³)(6× 10²) red blood cells.
= (7×6)(10³×10²)
= 42 × 10⁵ red blood cells.
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k/7=32/56? i have no idea how to solve this
k/7=32/56
To solve for k, cross multiply:
(k x 56) = (7 x 32)
Simplify:
56k = 224
Divide both sides by 56:
k = 224 / 56
k = 4
Taylor would like to build the garden of her dreams. She needs 20 cubic feet of soil containing 12% clay. She has two types of soil that she can combine to achieve this: soil with 20% clay and soil with 8% clay. How much of each soil should she use?
Which toy pack has a cost of $2.50 per toy?
Answer:
Yo-Yo
Step-by-step explanation:
I do not know all the steps but I just joined but the answer is Yo-Yo!!
solve for x : 3/5(x + 2)= x-4
Answer:
x = 13
Step-by-step explanation:
Given
[tex]\frac{3}{5}[/tex](x + 2) = x - 4
Multiply through by 5 to clear the fraction
3(x + 2) = 5x - 20 ← distribute left side
3x + 6 = 5x - 20 ( subtract 5x from both sides )
- 2x + 6 = - 20 ( subtract 6 from both sides )
- 2x = - 26 ( divide both sides by - 2 )
x = 13
What is 4527 written in scientific notation?
OA) 4.527
O B) 4.527 x 102
OC) 4.527 x 103
OD) 4.527 x 104
Answer:
OC) 4.527 x 10^3
Step-by-step explanation:
To write a number in scientific notation, first move the decimal point to create a number between 1 and 10.
4527. becomes 4.527
To get your exponent, count how many places you moved the decimal. In this case, you moved the decimal three places.
4.527 * 10^3
5×25-15615÷5 can someone help simplify this question?
Answer:
125-3123
Step-by-step explanation:
5 x 25 is 125, subtracted by 15615 which is 3123
a number
divided by
negative three
is four
Answer:
-12 ÷ -3 = 4
Step-by-step explanation:
Two negatives equal a positive
Rate as brainliest plz
PLEASE HELP ME I WILL GIVE YOU BRAINLIEST
Answer:
Equation of the line is y=-x+3
Rewritten as an inequality is y ≤ -x+3
Step-by-step explanation:
You find the slope by doing rise over run which ends up being -1/1, so just -1.
The y-intercept is 3.
Slope intercept form is y=mx+b, so y=-x+3 is the answer in slope intercept.
Then ≤ is used because the line is going down and it's shaded to the left, also the line isn't broken, it's solid which means it's equal to, so it would be less than or equal to.
Given: ∠5 ≅ ∠13
Which lines must be parallel?
A) r and s
B) p and q
C) p and r
D) q and s
Answer:
Option A) r and s
Step-by-step explanation:
we know that
When two lines are crossed by another line (called the Transversal), the angles in matching corners are called Corresponding Angles. If the lines are parallel, then the angles are congruent
In this problem
If lines r and s are parallel
then
m∠5≅m∠13 -----> by corresponding angles
Answer:
the answer on the usa testprep is A.
Step-by-step explanation:
give some brainlest
30 POINTS!!
Karl is investigating two transformations.
Karl claims that a reflection over the line y=1 transforms a point (x,y) to the point (2−x,y). For example, (1,1) is reflected to (1,1).
Karl makes a second claim that a reflection over the line y=x transforms a point (x,y) to the point (y,x). For example, (2,2) is reflected to (2,2).
Which statement correctly classifies Karl’s claims?
A
Karl is correct regarding the first claim, but a reflection over y=x carries (x,y) to (x,y).
B
Karl is correct in both of his claims because each provided example supports the associated claim.
C
Karl is incorrect in both of his claims because neither example is enough to prove the associated claim.
D
Karl is incorrect as a reflection over line y=1 carries (x,y) to (x,2−y) but is correct in his second claim.
Problem Set#2:
In the cafeteria, 100 milk cartons were put on for breakfast. At the end of breakfast, 27 remained.
a. What is the ratio of the number of milk cartons taken to he total number of milk cartons?
b. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?
*Answer A-B
Answer:
a. the ratio is 73:100
b. the ratio is 27:73
Please help me, please?
The answer is 14 2/3
I hoped this helped youuuuu!!!!!
Elijah walked 6 miles in 3 hours. What was his walking rate in hours per mile?
Answer: One hour/two miles
Step-by-step explanation:
Distance=Rate*Time
Distance=6 miles
Time=3 hours
Rate is unknown
6Miles=3Hours(Rate)
6Miles/3Hours=Rate
2Miles/1hour
For each hour that passes, he can walk two miles
The difference between a number and 10
Answer:
[tex]10 - x[/tex]
Step-by-step explanation:
the difference between a number and 10 simply means ,that number minus 10.
Let that number be x
therefore the difference between x and 10 is written as
[tex]x - 10[/tex]
Answer:
x-10
Step-by-step explanation:it simply means to subtract a number from ten
What is the decimal equivalent to 4%?
Answer:
0.8
Step-by-step explanation:
4/5 0.8 80%
hope this is useful
Hey!
------------------------------------------------
Solution and Explanation:
When you want to find the decimal of a number just divide by 100.
4 / 100 = 0.04
------------------------------------------------
Answer:
[tex]\large\boxed{0.04}[/tex]
------------------------------------------------
Hope This Helped! Good Luck!
6/7 times 9/7 in simplist form
Answer:
3/2
Step-by-step explanation:
Answer:
1 [tex]\frac{5}{49}[/tex]
Step-by-step explanation:
1. Multiply the numerators
6 x 9 = 54
2. Multiply the denominators
7 x 7 =49
3. You would get 54/79
4. Simplify
When simplifying you would get 1 [tex]\frac{5}{49}[/tex]
There are 364 first-grade students in Park Elementary School. If there are 26 more girls than boys, how many girls are there?
There are 169 boys and 195 girls in the first-grade class at Park Elementary School.
Explanation:Let's assume the number of boys in the first-grade class is x. Since there are 26 more girls than boys, the number of girls would be x + 26. The total number of students in the class is 364, so we can calculate the equation:
x + (x + 26) = 364
Simplifying the equation, we get:
2x + 26 = 364
Subtracting 26 from both sides:
2x = 338
Dividing both sides by 2:
x = 169
So there are 169 boys and 169 + 26 = 195 girls.
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Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your
home, you travel at an average rate of 40 miles per hour. If the round trip took you 45 minutes
how far is it from your house to your friend's house?
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
Answer:
The distance from my house to friend's house is 14 miles
Step-by-step explanation:
* Lets explain how to solve the problem
- Driving to the friend's house rate is 35 miles per hour
- Driving to my home rate is 40 miles per hour
- The round trip took 45 minutes
- We need to find the distance from my house to my friend's house
* At first lets change 45 minutes to hour because the rate of driving
unit is miles per hour
∵ 1 hour = 60 minutes
∴ 45 minutes = [tex]\frac{45}{60}=\frac{3}{4}[/tex] hour
- Assume that the distance from my house to friend's house is d,
the time for the trip from my house to the friend's house is [tex]t_{1}[/tex]
and the time from friend's house to my house is [tex]t_{2}[/tex]
∵ The distance between the two houses is d
∵ Distance = rate of driving × time of the trip
∴ d = 35 × [tex]t_{1}[/tex] = [tex]35t_{1}[/tex]
∴ d = 40 × [tex]t_{2}[/tex] = [tex]40t_{2}[/tex]
- Equate the two equations
∴ [tex]35t_{1}[/tex] = [tex]40t_{2}[/tex]
- Divide both sides by 35
∴ [tex]t_{1}=\frac{40}{35}t_{2}=\frac{8}{7}t_{2}[/tex]
∴ [tex]t_{1}=\frac{3}{4}t_{2}[/tex] ⇒ (1)
- The time of the round trip is [tex]\frac{3}{4}[/tex] hour
∴ [tex]t_{1}+t_{2}=\frac{3}{4}[/tex] ⇒ (2)
- Substitute equation (1) in equation (2)
∴ [tex]\frac{8}{7}t_{2}+t_{2}=\frac{3}{4}[/tex]
∴ [tex]\frac{15}{7}t_{2}=\frac{3}{4}[/tex]
- Divide Both sides by [tex]\frac{15}{7}[/tex]
∴ [tex]t_{2}=0.35[/tex] hour
∵ d = [tex]40t_{2}[/tex]
- Substitute the value of [tex]t_{2}[/tex] in the equation above
∴ d = 40(0.35) = 14
∵ d represents the distance from my house to friend's house
∴ The distance from my house to friend's house is 14 miles
Estimate 3,182 multiply by 5
Estimate the product of 3,182 multiplied by 5 by rounding to the nearest hundred, resulting in an estimation of 16,000.
Explanation:To estimate the product of 3,182 multiplied by 5, we can round 3,182 to the nearest hundred to make the multiplication simpler.
Rounding 3,182 to the nearest hundred gives us 3,200.
We then multiply 3,200 by 5:
3,200 x 5 = 16,000
This estimated product is not an exact answer but gives us a reasonable approximation that is easy to calculate mentally or on paper.
Mike rides his motorcycle at an average speed (velocity) of 20 meters / second for
500 seconds how far did he ride?
Answer:
10,000 meter's is the answer
Step-by-step explanation:
multiply 20 and 500
you start at 11 ,10 and you move 7units left and 5 units down
Answer:
(4 , 5)
Step-by-step explanation:
Note the point: (x , y) = (11 , 10)
Note that if you are moving left or right, you are changing the x variable.
Note that if you are moving up or down, you are changing the y variable.
In this case, you are starting at (11 , 10)
You move 7 units left (subtract 7 from x):
(11 - 7 , 10) = (4, 10)
You then move 5 units down (subtract 5 from y):
(4 , 10 - 5) = (4 , 5)
(4 , 5) is your answer.
~
Please help
Nathan bought one notebook and one binder for each of his college classes notebooks cost 0.95 each and binders cost 5.82 each. The total cost of notebooks and binders was 27.08. how many classes is Nathan taking?
Answer:
0.95 + 5.82 = 6.77 for each
27.08/6.77= 4
so he's taking 4 classes
Answer:
The answer is 4 classes.
Step-by-step explanation:
Nathan bought one notebook and one binder for each of his college classes.
Notebooks cost 0.95 each and binders cost 5.82 each.
So, he paid [tex]0.95+5.82=6.77[/tex] dollars
The total cost of notebooks and binders Nathan paid 27.08.
This means he bought these things for [tex]\frac{27.08}{6.77}=4[/tex] classes.
“Seven less than a number squared”
Answer:
7-x^2
Step-by-step explanation:
The required expression will be x² - 7
Expressions are functions separated by an operation sign.
For the given statement:
Let the unknown number be xThe square of the number will be x²7 less than number means we are to subtract 7 from the result x² as shown
F(x) = x² - 7
Hence the required expression will be x² - 7
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If, for a certain function, f(x)= 51, calculate the following values.
a.
f(x)-8
b.
1/2f(x)
c.
1/2f(x)-8
Answer: (a) 43 (b) 25.5 (c) 17.5
Step-by-step explanation:
f(x) = 51
Replace f(x) with 51
a) f(x) - 8 = 51 - 8 = 43
[tex]b)\quad \dfrac{1}{2}f(x)\qquad =\dfrac{1}{2}\cdot 51\qquad =\dfrac{51}{2}\qquad =25.5[/tex]
[tex]c)\quad \dfrac{1}{2}f(x)-8\qquad =25.5-8\qquad =17.5[/tex]
Determine whether each function is continuous at x=5. Justify your answer using the continuity test.
Answer:
2. [tex]f(x)=\frac{x^2}{x+5}[/tex]
Step-by-step explanation:
When you replace x=5 into those functions you obtain:
[tex]1. f(x)=\sqrt{x^2-36} = \sqrt{5^2-36} = \sqrt{-11} \\2. f(x)=\frac{x^2}{x+5}=\frac{5^2}{5+5}=\frac{25}{10}[/tex]
We can see that the function number 1, when the x=5 is replaced, falls into the imaginary numbers or complex domain, so the function is not continuous in the real domain.
On the other hand, the second function falls into the real domain whe x=5 is replaced, so the function is continuous in the real domain!
I hope you understand!
What is 12- 4/5(x+15)=4 please show me step by step.
Answer:
-5
Step-by-step explanation:
Explanation in the picture.
What times what equals -18
-1 x 18 = 18
-2 x 9 = 18
-3 x 6 = 18
-6 x 3 = 18
-9 x 2 = 18
-18 x 1 = 18
Hope this helped!
Nate
To get -18, we can use the factors
2 times -9 = 18How to fill the blanksTo find two numbers that multiply to give -18, we need to consider pairs of factors of -18. The factors of -18 are:
1 and -18
2 and -9
3 and -6
So, the pairs of numbers that multiply to give -18 are:
1 * -18 = -18
2 * -9 = -18
3 * -6 = -18
Therefore, -18 can be expressed as the product of various combinations of these pairs, such as (-2) * 9, (-3) * 6, and so on.
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P(-2,2.5) Q(1.4,4) Find the midpoint
Answer:(-0.3,3.25)
Step-by-step explanation:
The midpoint of P(-2,2.5) and Q(1.4,4) is ( -0.3, 2.25)
What is Midpoint?A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,
M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Given P(-2,2.5) and Q(1.4,4)
So the midpoint = [(-2 + 1.4)/2, (2.5 + 4)/2]
The midpoint = [(-0.6)/2, (4.5)/2]
The midpoint = ( -0.3, 2.25)
Hence, the midpoint of P(-2,2.5) and Q(1.4,4) is ( -0.3, 2.25).
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Simplify the square root of 16 plus the square root of 40
√16 + √40 = √4×4 + √4×10
= 4 + √2×2×10
= 4 + 2√10
If you need a better explanation just as in the comments.
Happy to help! Please mark as BRAINLIEST! Thanks
Answer:
4+ 2*√10
Step-by-step explanation:
√16 = 4
√40 = √4* √10
√4=2
√40 = 2 *√10
the square root of 16 plus the square root of 40 simplified is
4+ 2*√10