Answer:
The slope is 3/4 or 0.75.
Step-by-step explanation:
Let's take two points on a line. (-3,2) and (1,-1).
Now, determine the rise and run.
Rise: 3 Run: 4Slope = Rise/Run
=> 3/4Conclusion:
Therefore, the slope is 3/4 or 0.75.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find the missing length indicated
Answer:
x = 240
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = ( part of hypotenuse below it) × (whole hypotenuse)
x² = 144 × 400 = 57600 ( take the square root of both sides )
x = [tex]\sqrt{57600}[/tex] = 240
x = 240
Using Pythagoras' theorem on the 3 triangles of sides (as shown in the graphic - the 2 smaller inner triangles and the large main triangle) it can be shown that the height is the square root of the product of both segments of the baseline.
let's call the 2 segments p and q.
p+q = 400
p = 144
q = 400 - 144 = 256
so, as said before, height = sqrt(p×q) = sqrt(144×256) = 192
now the main Pythagoras with the smallest triangle to get x
x² = 192² + 144² = 36864 + 20736 = 57600
x = 240
now, FYI, why is that formula true ?
as we said, we called the segments of the long baseline p and q.
then we can the sides of the main triangle x and y.
and the height is simply h.
so, then we have for the main rectangular triangle
(p+q)² = x² + y²
and for the 2 smaller triangles
x² = p² + h²
y² = q² + h²
=>
p² +2pq + q² = p² + h² + q² + h²
2pq = 2h²
h² = pq
h = sqrt(pq)
and there you have it. just as simple as that.
In how many ways can 10 people be divided into three groups of 2, 3, and 5 people respectively
Given:
Total number of people = 10
To find:
The number of ways in which 10 people can be divided into three groups of 2, 3, and 5 people respectively.
Solution:
We know that the number of ways to select r items form n times is:
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
The number of ways to select 2 people from 10 is [tex]^{10}C_2[/tex].
The number of remaining people is [tex]10-2=8[/tex].
The number of ways to select 3 people from 8 is [tex]^{8}C_3[/tex].
The number of remaining people is [tex]8-3=5[/tex].
The number of ways to select 5 people from 5 is [tex]^{5}C_5[/tex].
Now, the total number of ways is:
[tex]Total=^{10}C_2\cdot ^{8}C_3\cdot ^{5}C_5[/tex]
[tex]Total=\dfrac{10!}{2!(10-2)!}\cdot \dfrac{8!}{3!(8-3)!}\cdot \dfrac{5!}{5!(5-5)!}[/tex]
[tex]Total=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}\cdot \dfrac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\cdot 1[/tex]
[tex]Total=45\cdot 56\cdot 1[/tex]
[tex]Total=2520[/tex]
Therefore, the total number of ways is 2520 to divide 10 people into three groups of 2, 3, and 5 people respectively.
CAN SOMEONE HELP ME PLEASE
At Clark City Zoo, a zookeeper divides 6 bananas equally among
3 chimpanzees. What is the unit rate of bananas to chimpanzees
NEED ANSWER NOW PLZZ
Answer:
6÷3
=2
So each chimpanzee Will get 2 bananas
Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?
Answer:
The vertex is (2,1)
Step-by-step explanation:
ƒ(x) = –x^2 + 4x – 3
Factor out the negative
= -(x^2 -4x+3)
Factor
What 2 numbers multiply to +3 and add to -4
-3*-1 = 3
-3+-1 = -4
f(x) = -( x-3)(x-1)
Find the zeros
0 = -( x-3)(x-1)
0 = x-3 0 = x-1
x=3 x=1
The x value of the vertex is 1/2 way between the two zeros
(3+1)/2 = 4/2 =2
To find the y value, substitute x=2 in
f(2) = -( 2-3)(2-1)
=-(-1)(1) = 1
The vertex is (2,1)
What is the measure of m?
Answer:
12
Step-by-step explanation:
bc it is
154.1 ÷ 0.5 as a mixed number
Answer:
308.2
Step-by-step explanation:
= 308.2
Problem 1 find m<TRS
Answer:
94º
Step-by-step explanation:
<TRS = 1/2(arc UJ + arc TS)
<TRS = 1/2(65 + 123)
<TRS = 1/2(188)
<TRS = 94º
cho tam giác ABC. gọi M,N lần lượt là trung điểm AB,AC trên tia đối của tia NM lấy điểm D sao cho N là trung điểm MD, chứng minh
a, CD song song AM
b, CD = MB
d, tam giác BMC= tam giác DCM
e, MN= 1/2 DC
Mình gửi bạn
Bạn xem câu cuối có sai đề không
In figure above, if l1 | | l2 then value of x is:
a) 40°
b) 50°
c) 80°
d) 100°
Answer:
its letter c so 80
Step-by-step explanation:
I hope this help
Find the missing length.
Answer:
hello,
Step-by-step explanation:
12²=(x-16)*16
9=x-16
x=25
Relation metric in a right triangle
find the missing length
Answer:
it is an rigjt angle triangle you shoult pythogores therom if you will know it it will be easy to you to understand this question
Solve for x.
------------------------------------------------------------
a. 51 b.102 c.112 d.258
On a unit Circle, the terminal point of 0 is (sqrt3/2, 1/2) what is 0?
This is a point, so it has x- and y-coordinates. Both of these coordinates are positive, therefore the point must be in the first quadrant.
The pattern for the points on a unit circle is 3 - 2 - 1 starting at 0 and up to pi/2. The pattern for the radian denominators on a unit circle is 6 - 4 - 3 starting at 0 and up to pi/2.
(sqrt(3) / 2, 1/2) = pi / 6 radians
Hope this helps!
Answer:
A. pi/6 radians
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1/2 : sqrt(3/2) : 1
sin theta = opp/hyp
tan theta = 1/2 / 1
tan theta = 1/2
theta = pi/6 radians
Answer: A. pi/6 radians
A watch seller gained 20% by selling a watch for rupees 1260. what was its cost price and if we add gain 30% at what price should have it sold
Answer:
1365 rupees
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is via the method of proportions. One can use a proportion to find the original price of the watch. Then one can find the price of the watch if the watch had a (30%) mark up, by using a proportion.
2. Find the original price
Remember, the general format of a proportion is the following:
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
The following information is given:
The watch sold for (1260) rupees which is (120%) of the original price. Remember, there was a (20%) gain, meaning that the seller recovered (120%) of the price, in essence, the price of the watch, plus (20%) extra, thus (120%). Substitute these values into the proportion and solve,
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
[tex]\frac{1260}{total}=\frac{120}{100}[/tex]
Simplify,
[tex]\frac{1260}{total}=\frac{120}{100}[/tex]
[tex]\frac{1260}{total}=\frac{6}{5}[/tex]
Cross product,
[tex]\frac{1260}{total}=\frac{6}{5}[/tex]
[tex](5)(1260)=(6)(total)[/tex]
Simplify,
[tex](5)(1260)=(6)(total)[/tex]
[tex]6300=6*total[/tex]
Inverse operations,
[tex]6300=6*total[/tex]
[tex]1050=total[/tex]
3. Find the price if the mark up is (30%)
Now, one knows the original price of the watch. Set up a proportion to find the price of the watch if there is a (30%) mark up. Use the same logic to set up this proportion as was used to set up the last one. The (percent) will be (130%) because the new price of the watch is (130%) of the original watch.
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
Substitute,
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
[tex]\frac{part}{1050}=\frac{130}{100}[/tex]
Simplify,
[tex]\frac{part}{1050}=\frac{130}{100}[/tex]
[tex]\frac{part}{1050}=\frac{13}{10}[/tex]
Cross products,
[tex]\frac{part}{1050}=\frac{13}{10}[/tex]
[tex](10)(part)=(13)(1050)[/tex]
Simplify,
[tex](10)(part)=(13)(1050)[/tex]
[tex]10*part=13650[/tex]
Inverse operations,
[tex]10*part=13650[/tex]
[tex]part=1365[/tex]
Thus, the price after the (30%) is (1365) rupees.
xpower4 minus 16 bracket b minus c whole power 4
Answer
6372 - power 4
Step-by-step explanation:
I NEED HELP ASAP
i will award brainlyest
or however you spell it
Answer:
f(x) + 2 is it I am not sure but do not lie
Answer:
I think it's D or C, but am leaning towards D. Don't take my word for it though.
Step-by-step explanation:
f(x-2)
(Do not use my answer though as I am not completely sure since the parent function f(x) might be looking for a certain location where the plus-minus 2 is.)
My reasoning is that I went to a graphing calculator and the first two choices are incorrect where it is something like f(x) + 2 or - 2.
The graph is lower than the parent function meaning it probably involves a negative or positive since the graph is much steeper.
hlp pleassssssssssssssssssssss
Answer:
Volume of a cube is s×s×s
hence 7 cube=343
343 is the answer. Hope this helps you. Good luck^_^
A taxi fare is $3 and then $0.40 for every kilometre. A taxi fare is $9 . How far has the taxi travelled?
Answer:
y = 3 + 0.40x
Step-by-step explanation:
Fixed cost of taxi fare = $3
Additional cost = $0.40
Let
y = Total cost
x = number of kilometers
The equation:
Total cost = Fixed cost of taxi fare + (Additional cost * number of kilometers)
y = 3 + 0.40x
which one is the 25th island of Greece?
1. amorgos
2. sus island
3. the hair of dog
Answer:
obviously sus island
Step-by-step explanation:
Given the preimage and image,find the dilation scale factor.
Answer:
The dilation scale factor is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
The image is the dilated form of its preimage if and only if the following conditions are observed:
1) [tex]K' = \alpha_{1} \cdot K[/tex]
2) [tex]T' = \alpha_{2} \cdot T[/tex]
3) [tex]P' = \alpha_{3} \cdot P[/tex]
4) [tex]J' = \alpha_{4} \cdot J[/tex]
5) [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex]
If we know that [tex]K = (2, 0)[/tex], [tex]K' = (1, 0)[/tex], [tex]T = (3, 0)[/tex], [tex]T' = (1.5,0)[/tex], [tex]P = (1, 5)[/tex], [tex]P' = (0.5, 2.5)[/tex], [tex]J = (0, 3)[/tex] and [tex]J' = (0, 1.5)[/tex], then the coefficients are, respectively:
[tex]\alpha_{1} = \frac{1}{2}[/tex], [tex]\alpha_{2} = \frac{1}{2}[/tex], [tex]\alpha_{3} = \frac{1}{2}[/tex], [tex]\alpha_{4} = \frac{1}{2}[/tex]
As [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex], we conclude that the dilation scale factor applied in the preimage is equal to [tex]\frac{1}{2}[/tex].
For 4 days the temperatures in Alaska at 9:00 a.M. Were 12 degrees, -2 degrees, -6 degrees, and 8.4 degrees, respectively. What was the average temperature?
Answer:
3.1°
Step-by-step explanation:
Given the temperature values :
12 degrees, -2 degrees, -6 degrees, and 8.4 degrees
To obtain the average temperature, take the sum of the temperatures and divide by the number of days
Sum of temperature values : (12 + (-2) + (-6) + 8.4) = 12.4 degree
Sum of temperature / 4
= 12.4 / 4
Average temperature = 3.1 degrees
The sum of three numbers is 78. The second number is 10 more than the first, and the third number is two times the second number.
1. Write an equation that will help you determine the 3 numbers.
2. Solve the equation showing all your steps.
3. Tell what the 3 numbers are.
Step-by-step explanation:
a+b+c=78
b=10+a
c=2b
then, we back the first
a+10+a+2b=78
2a+2b=78- 10
2a+2(10+a)=68
2a+2a=48
4a=48
a=12
b=22
c=44
Help pls :(
Solve for x.
-4 + 3x = 20
Answer:
x = 8
Step-by-step explanation:
Given
- 4 + 3x = 20 ( add 4 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-4 + 3x = 20}\\\rightarrow\large\textsf{3x - 4 = 20}\\\\\large\text{ADD 4 to BOTH SIDES}\\\large\textsf{3x - 4 + 4 = 20 + 4}\\\large\text{CANCEL out: \textsf{-4 + 4} because that gives you \textsf 0}\\\large\text{KEEP: \textsf{20 + 4}} \text{ because it gives you the \textsf{x-value}}}\\\\\large\textsf{20 + 4 = \bf 24}\\\\\large\text{DIVIDE 3 to BOTH SIDES}\\\\\mathsf{\dfrac{3x}{3}= \dfrac{24}{3}}\\\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you \textsf 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps gives you the result of the \textsf{x-value}}\\\\\mathsf{x = \dfrac{24}{3}}\\\\\large\textsf{x= 24}\div \large\textsf{3}}\\\large\textsf{x = \bf 8}\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 8}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
help me fast plzzzzzz
Answer:
has been saving is the correct answer I believe
Answer:
"has been saving" is the right answer.
7) The sum of the page numbers of two facing pages of a book is 85. What are the page numbers of two facing pages of the book. If the sum is not given, but the product is given to be 1806, how will you find the page numbers?
Answer:
42 and 43.
Step-by-step explanation:
This problem can be solved just by knowing the sum of the page numbers, as page numbers on the same face are always one digit apart. Thus we can take 85, subtract 1, divide by 2, and then get 42,42, and add 1 back to the second-page number.
To check our work we can multiply 42*43 to get 1806.
Bob is hired by Company A and is given an annual salary of $35 000 with a 10% raise
after 1 year. Sam is hired by Company B and is paid $3842.42 per month with a 5% raise
after 1 year. Determine the difference of salary after 1 year.
Step-by-step explanation:
Bob's salary : $35000 per year plus 10% after one year
100% = 35000
1% = 100%/100 = 35000/100 = $350
10% = 10×1% = 10×350 = $3500
so in total, his salary will be $35000+$3500 = $38500 after one year.
Sam's salary : $3842.42 per month plus 5% after one year.
100% = $3842.42 per month. but to make it comparable to Bob's salary, we need to calculate the annual salary.
so, 100% 12×3842.42 = $46109.04
1% = 100%/100 = 46109.04/100 = $461.09
5% = 5×1% = 5×461.09 = $2305.45
so, in total, his salary will be $46109.04+$2305.45 = $
Rewrite the expression in the form x^n:
x^-10/3
---------
x^3
Answer:
x^ (-19/3)
Step-by-step explanation:
x ^ (-10/3) ÷ x^3
We know a^b ÷ a^c = a^(b-c)
x ^ (-10/3) ÷ x^3 = x^(-10/3 - 3) = x^(-10/3 - 9/3) = x^ (-19/3)
Every week, Judy goes to the supermarket and buys the following: $5$ carrots at $\$1$ each, $3$ bottles of milk at $\$3$ each, $2$ pineapples at $\$4$ each, $2$ bags of flour at $\$5$ each, and a giant $\$7$ container of ice cream. This week the store has a sale and pineapples are half price. Judy also has a coupon for $\$5$ off any order of $\$25$ or over. How much money does Judy spend on this shopping trip
Answer:
She spends $30 in total.
Step-by-step explanation:
Suppose that you buy X units of a given product with a price Y, then the total cost here is X*Y, with this we can solve our problem:
Every week Judy buys:
5 carrots, at $1 each, so she spends 5*$1 = $5 in carrots.
3 bottles of milk at $3, so she spends 3*$3 = $9 in milk bottles.
2 pineapples at $4 each (but the pineapples are at half price, so this week the pineapples cost $4/2 = $2), so she spends 2*$2 = $4 in pineapples.
2 bags of flour at $5 each, so she spends 2*$5 = $10 in flour.
1 giant container of ice cream, she spends $7 on it.
So the total money that she speends is:
$5 + $9 + $4 + $10 + $7 = $35
And she has a coupon for $5 in any order equal to or larger than $25, his order is larger than $25, so she can use the coupon.
So she will spend a total of $35 - $5 = $30
She spends $30 in total.