length : [tex]\sf \sqrt{89}[/tex]
Explanation:
use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
using the formula:[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]
Answer:
[tex]\sf \sqrt{89}[/tex]
Step-by-step explanation:
Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)
Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)
Distance formula:
[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Input values into the distance formula and solve for d:
[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]
[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]
[tex]\sf \implies d=\sqrt{64+25}[/tex]
[tex]\sf \implies d=\sqrt{89}[/tex]
NO LINKS PLEASE
I NEED THEM TODAY
NO LINKS!!!
Answer:
13. True, False, True
14. False, True, True
15. All true
how do i use a model to tell whether the fractions are equivalent? numbers: 1/2 and 5/10 grade 4
Answer:
ok so 5/10ths is also 3/6ths or 2/4ths or 1/2
Step-by-step explanation:
A mirror is the shape of an ellipse defined by startfraction y squared over 7.29 endfraction startfraction x squared over 6.25 endfraction = 1 with units in feet. which statement identifies the orientation of the mirror and its greatest dimension? the mirror has a vertical orientation and is 5.4 ft tall. the mirror has a horizontal orientation and is 5.4 ft wide. the mirror has a vertical orientation and is 7.29 ft tall. the mirror has a horizontal orientation and is 7.29 ft wide.
The major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft, the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.
What is the equation of ellipse if its major and minor axis are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]
For the considered case, the equation of the considered ellipse is:
[tex]\dfrac{x^2}{(\sqrt{7.29})^2} + \dfrac{y^2}{(\sqrt{5.4})^2} =1[/tex]
Thus, the major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft,
the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.
Learn more about ellipse here:
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Answer:
The mirror has a vertical orientation and is 5.4 ft tall.
Step-by-step explanation:
Got it right. The major axis is vertical (the ellipse has a vertical orientation) because the y^2 term comes first. It is 5.4 ft tall because if you take the square root of the number under the y^2 term (square root of 7.29), it is equal to 2.7. This is only the distance from the center to one vertex on the major axis, and so twice 2.7 is 5.4, and the mirror is 5.4 ft tall.
Also I know I am weeks late, but maybe this will help others at some point. Sorry I didn't get here in time!
three boxes under my stairs contain apples or pears are both each box contains the same number of pieces of fruit the first box contains all 12 of the apples and 1 /9th of the pears how much of the fruit are there in each box
There are 16 fruits in each of the boxes found under the stairs.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of pears, hence:
Number of fruit in first box = 12 + (1/9)x
Number of fruit in second box = number of fruit in third box = (8/9)x ÷ 2 = (4/9)x
Therefore:
12 + (1/9)x = (4/9)x
x = 36
First box = second box = third box = (4/9) * 36 = 16
There are 16 fruits in each of the boxes found under the stairs.
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What is the square root of 81
Answer: 9
Step-by-step explanation:
9*9 = 81
Answer:
9
Step-by-step explanation:
9*9=81
A coffee shop offers small, medium, and large sizes. Customers can choose
between French roast and Italian roast.
Answer:
6
Step-by-step explanation:
small with french roast or italian roast =2
medium with french roast or italian roast =2
large with french roast or italian roast =2
All of them combined =6 possible out comes
a) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function of g(x).)
table:
x: 4, 5, 6, 7, 8, 9, 10
F(x): -8, -4, 8, 10, 11, 14 ,18
b) Find the average rate of change of g(x) over the interval from x = 0.25 to x= 1. (Write answer as a simplified fraction. Show work)
c) if g(x) represents the height of a ball that was throw. up into the air, interpret your answer from part b) in terms of the real-world it represents.
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A
The average rate of change of a function over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex], hence:
[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}[/tex]
Therefore, the average rate of change of [tex]f(x)[/tex] over the interval [tex][5,9][/tex] is [tex]\frac{9}{2}[/tex].
Part B
Do the same thing as in Part A:
[tex]\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4[/tex]
Therefore, the average rate of change of [tex]g(x)[/tex] over the interval [tex][0.25,1][/tex] is [tex]-4[/tex].
Part C
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
The average rates of change are:
a) 4.5b) -4c) It means that in the interval, for each second that passes the height decreases by 4ft.How to get the average rate of change?
For a function f(x), the average rate of change on the interval [a, b] is:
[tex]r = \frac{f(b) - f(a)}{b -a}[/tex]
a) Here we have:
[tex]r = \frac{F(9) - F(5)}{9 - 5} = \frac{14 - (-4)}{4} = 4.5[/tex]
b) Now we look at g(x) on the interval [0.25, 1]
Notice that g(0.25) = 5 and g(1) = 2
Then we have:
[tex]r = \frac{2 - 5}{1 - 0.25} = -4[/tex]
c) That average rate of change means that, in average, in that interval in each second the height decreases by 4 ft.
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evaluate 6+4/a + b/3 when a=4 and b=3
Answer: 31/4 or 7.75
Step-by-step explanation:
A town has a population of 141,300 and grows at a rate of 5% every year. Which equation represents the town’s population after 6 years?
Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
Solve for m.
m/9 + 2/3 =7/3
Answer:
m= 15
Step-by-step explanation:
[tex] \frac{m}{9} + \frac{2}{3} = \frac{7}{3} [/tex]
To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.
[tex] \frac{m}{9} = \frac{7}{3} - \frac{2}{3} [/tex]
Simplify:
[tex] \frac{m}{9} = \frac{5}{3} [/tex]
Multiply both sides by 9:
[tex]m = \frac{5}{3} \times 9[/tex]
Crossing out 3 from the denominator and from 9:
m= 5(3)
m= 15
2 If a hockey team loses 33% of the games they play, what is the probability that this team will win exactly 10 games out of their next 15?
a. 0.6%
b. 21.4%
c. 19.8%
d. 11.1%
So
P(A)=0.33P(A')=0.67Now
They win from 15games=10They lose=5The required probability
[tex]\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}[/tex]
[tex]\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}[/tex]
[tex]\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098(3003)[/tex]
[tex]\\ \rm\rightarrowtail 0.213[/tex]
So probability
0.213(100)=21.3%Option B
Answer:
b. 21.4 % (nearest tenth)
Step-by-step explanation:
P(lose) = 33% = 0.33
P(win) = 1 - 0.33 = 0.67
Using binomial distribution X ~ B(n, p)
where n is the number of trials and p is the probability of success
⇒ X ~ B(15, 0.67)
Binomial probability formula:
[tex]\sf P(X=x)= \ _nC_x\cdot p^x \cdot(1-p)^{n-x}[/tex]
[tex]\sf \implies P(X=10)=15C10\cdot 0.67^{10} \cdot(1-0.67)^{15-10}[/tex]
[tex]\sf =3003 \cdot 0.67^{10} \cdot 0.33^5[/tex]
[tex]\sf =0.214226434...[/tex]
Converting to percentage:
0.214266434... x 100% = 21.4 % (nearest tenth)
-12p+3p×2
please show me all the workings
Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
If cat and dog start running away from each other how far away from each other will they be after 30 minutes?
The distance they(Bobby's cat and dog) will be from each other after 30 minutes is 0.5x miles.
Calculation of distanceThe dog runs twice as fast as the cat. Therefore,
Bobby's cat speed = x
Bobby's dog speed = 2x
Therefore,
speed = distance / time
30 minutes = 0.5 hours
Therefore,
distance = speed × time
distance covered by the cat = x × 0.5 = 0.5x
distance covered by the dog = 2x × 0.5 = x
Therefore, the distance they will be from each other after 30 minutes is as follows:
distance = x - 0.5x = 0.5x
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please help me out with these two problems
find X and Y
Answer:
Step-by-step explanation:
I'll work on the left triangle first:
tan 20 = x /10
x = 10tan 20 = 3.64
cos 20 = 10/y
y = 10/cos20 = 10.64.
tan 70 = 12/x
x = 12/tan 70 = 4.37.
sin 70 = 12/y
y = 12/sin70 = 12.77.
A bag contains 3 red marbles and 4 blue marbles.
A marble is taken at random from the bag and replaced.
Another marble is taken from the bag.
Work out the probability that the 2 marbles taken from the bag are the same colour.
Give your answer as a fraction.
Answer:
Total number of marbles in the bag is 3 + 4 = 7.
The problem asks for the probability of (RR) or (BB).
It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from
Since each draw is independent, we take the product of each event for the total event probability.
P(RR) = 3/7 * 3/7 = 9/49
P(BB) = 4/7 * 4/7 = 16/49
We want to know P(RR) + P(BB)
P(RR) + P(BB) = 9/49 + 16/49 = 25/49
just look at the picture.....
Answer:
is equal to 925 i think cuz
Step-by-step explanation:
summation of arithmetic sequence
n=1 , 3n-2=3-2=1 , a=1, d=3.
sn=n+3n(n-1)
-------------
2
a=1 ,d=3 sn= n+3n(n-1)
------------
2
S25=25+3×25(25-1)
--------------
2
25+900=925
so the answer will be 925
use the distributive property to rewrite the expression 6(10+n)=
Answer:
60 + 6n
Step-by-step explanation:
Distribute 6 to both terms:
6 * 10 is 60
6 * n is 6n
Both total are 60 + 6n
Hey there!
6(10 + n)
= 6(10 + 1n)
DISTRIBUTE 6 WITHIN the PARENTHESES
= 6(10) + 6(1n)
= 60 + 6n
= 6n + 60
Therefore, your answer is: 6n + 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
fasttt please 6,132 ÷ 10³ =
Answer:
6.132
Step-by-step explanation:
please mark me the brainiest
If there are 40% of girls and 250 are boys, find
(i) the total number of students
(ii) the number of girls.
Step-by-step answer:
If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.
i)
Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.
[tex]Total * 0.6 = 250[/tex].
[tex]Total = 250/0.6[/tex]
[tex]Total = 417[/tex]
There are 417 students
ii)
Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.
[tex]417 * 0.4 = 167[/tex]
There are 167 students that are girls.
-5 1/2+6 3/4+(-4 1/4)=
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
that the answer
calculate them
There are few differences in Florida plants as fall arrives. What differences might you see in the seeds of Florida plants?
A The seeds are dormant.
B The seeds are being produced.
C The seeds are ready for harvest.
D The seeds are starting to germinate.
In Florida, one difference in plants is that as fall arrives seeds are ready to be harvested.
What is fall?Fall is one of the four seasons that exists in most countries including the United States. During this season, temperatures drop, and days become shorter.
How does this season affect Florida plants and seeds?In most plants, the beginning of the fall implies the beginning of the harvesting season. This means that during this season seeds are ready to be collected or harvested.
Learn more abour seeds in: https://brainly.com/question/15976369
Answer:it answer is harvested
Step-by-step explanation:
(90 points) what's the area of a 5m circle , 50 mm circle , 40in circle , 7ft circle, 21mm circle and a 70cm circle all using 3.14 or 22/7 for pi
Answers:
AREA OF A CIRCLE = pi x r^2
5m circle:
when it says 5 i think it means diameter so divide by 2 for radius
5/2 = 2.5
3.14 x 2.5^2=
3.14 x 6.25=
19.625m^2
50mm circle:
50/2= 25
3.14 x 25^2=
3.14 x 625=
1962.5mm^2
40in circle:
40/2= 20
3.14 x 20^2 =
3.14 x 400=
1256in^2
7ft circle:
7/2= 3.5
3.14 x 3.5^2=
3.14 x 12.25=
38.465ft^2
21mm circle:
21/2= 10.5
3.14 x 10.5^2=
3.14 x 110.25=
346.185mm^2
70cm circle:
70/2=35
3.14 x 35^2=
314 x 1225=
3846.5cm^2
Hope that helps :)
PLEASE HELP ASAP Here is the question afterward:
17 (1/5) × 17,5 = 301
,..,.
This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?
yes or no
Answer: yes its a 3:1 ratio
3 cups of strawberries
per 1 cup of mango
Step-by-step explanation:
so the best way i can try to explain it is this...
1 2 they both need a
_ x _ common denominator so
3 6 you need to multiply the smaller one to equal
the bottom number of the other one
oorr divide the big number on the bottom to equal
the smaller number on the bottom of the left
equation.
soooo 2 times (1:3) equals (2:6)
or divide by 2 to (2:6) to equal the denominator of 3 (same as smaller)
PLEASE HELP!
Solve for q.
8/10 = 10/q
q =
q = 12.5
hope it helps..!!!
Answer:
12.5
Step-by-step explanation:
u dont need it lol
The area of a rectangle is 108 square meters. The width is 9 meters. What is
the length?
Answer:
L= 12
Step-by-step explanation:
area= L×B
108= 9×L
108= 9L
Divide both sides by 9
108/9= 9L/9
L= 12
Which of the following lists 3/6, 112, 15/18 in order from least to greatest?
Answer:
3/6 ⇒ 9/12⇒ 15/18
Step-by-step explanation:
To put the following lists 3/6,9/12, 15/18 in order from least to greatest we can turn the fraction into decimal..
3/6 = 0.5
15/18 = 0.83333333333
9/12= 0.75
Hence from least to greatest:
0.5,0.75, 0.83333333333
Also know as:
3/6,9/12,15/18
~lenvy~
Answer:
Order 3/6, 9/12, and 15/18 from least to greatest.
Keep in mind, there are multiple ways into finding the answer to this question.First, we must simplify these fractions as much as possible then find a possible common denominator.
3/6 simplifies to 1/2
9/12 simplifies to 3/4
15/18 simplifies to 5/6
Now we have fractions of 1/2(3/6), 3/4(9/12), and 5/6(15/18).
If we look at these fractions, we can see that they have a common denominator of 12. So let's convert these fractions into having a denominator of 12;
1/2 x 6/6 = 6/12
3/4 x 3/3 = 9/12
5/6 x 2/2 = 10/12.
So now we have the fractions 6/12(3/6), 9/12(9/12), and 10/12(5/6).
These are already ordered from least to greatest.
So therefore, this'll be ordered;
3/6, 9/12, and 15/18.
A giant tortoise can walk about 1/10 meter per second on land. A cooter turtle can walk about 1/2 meter per second on land. How long would it take a giant tortoise to travel 5 meters?
Answer:
50 seconds
Step-by-step explanation:
because 5÷0.1=50 50×1sec=50 seconds
what ratios are equivalent to 4/11
Answer:
Here!!
Step-by-step explanation:
Here are a few ratios that are equivalent to 4 : 11 . . . . .
8 : 22
12 : 33
20 : 55
400 : 1100
308 : 847
4 billion : 11 billion
Write a sentence to represent the solution set in the context of the problem.
___________________________________________________________
920 = 560 + 60(x) He has to make at least 6 sales to get $920
Answer:
6 sales
Step-by-step explanation:
(I MADE THIS QUESTION I DIDINT KNOW IF YOU NEEDED IT)
Jake wants to but the new computer(it costs $920). Jake has $560 saved in his bank. Jake also gets $60 whenever he makes a sale at his job. How many sale(s) at his job does Jake need to make? Answer -- Jake needs to make 6 sales of $60 to buy the new computer.
MATH -----
$6 x $60 = $360
$360 + $560 = $920