Answer:
-11/16
Step-by-step explanation:
1) Find the Least Common Denominator (LCD) of [tex]\frac{15}{32} ,\frac{7}{31}[/tex] In other words, find the Least Common Multiple (LCM) of 32,31.
Method 1: By Listing Multiples
1. List the multiples of each number.
Multiples of 32: 31,64,96,... 928, 960 ,992,...
Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 992
Method 2: By Prime Factors
1. List the prime factors of each number.
Prime Factors of 32: 2,2,2,2,2
Prime Factors of 31: 31
2. Find the union of these primes.
2,2,2,2,2,31
3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.
LCM = 992
2) Make the denominators the same as the LCD.
[tex]-\frac{15*31}{32*31} +\frac{7*32}{31*32}[/tex]
3) Simplify. Denominators are now the same.
[tex]-\frac{465}{992} +\frac{224}{992}[/tex]
4) Join the denominators.
[tex]\frac{-465+224}{992}[/tex]
5) Simplify
[tex]-\frac{241}{992}[/tex]
Decimal Form: -0.242944
The temperature of one furnace is 1,200°C and cools at a rate of 15°C per minute. The temperature of another furnace is 900°C and is heated at a rate of 5°C per minute. After how many minutes will the furnaces be the same temperature? Write the answer as a whole number or decimal. __ minute(s)
Step-by-step explanation:
how many cups of water do you need to fill fill one jar
Use the definite integral and the Fundamental Theorem of Calculus to solve the following problem. A ball is thrown upward from a height of 1.2 m at an initial speed of 58 m/sec. Acceleration resulting from gravity is -9.8 m/sec^2. Find the following:
v(t)= _________
h(t)= ________
If v(t) and h(t) denote the ball's velocity and height at time t, respectively, then we have h(0) = 1.2 m and v(0) = 58 m/s.
The ball is in free fall after being tossed, so its acceleration is constant at any time t :
[tex]a(t) = -9.8 \dfrac{\rm m}{\mathrm s^2}[/tex]
By the fundamental theorem of calculus, the velocity function is given by
[tex]\displaystyle v(t) = v(0) + \int_0^t a(u) \, du[/tex]
Compute the integral:
[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) \int_0^t du[/tex]
[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t - 0)[/tex]
[tex]\displaystyle \boxed{v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t}[/tex]
Similarly, the height function is given by
[tex]\displaystyle h(t) = h(0) + \int_0^t v(u) \, du[/tex]
[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \int_0^t \left(58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t\right) \, du[/tex]
[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) (t - 0) - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t^2 - 0^2)[/tex]
[tex]\displaystyle \boxed{h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) t - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t^2}[/tex]
Answer:
V(t) = 58-9.8t
h(t)=1.2+58t-4.9[tex]t^{2}[/tex]
Step-by-step explanation:
Using the standard formula
a=V f-Vi/t --rearrange
at=V f-Vi
V f=V i + a t
therefore
V(t)=58-9.8t
same with height
H= Hi+Vit+1/2at^2
therefore
h(t)=1.2+58t-4.9t^2
whats the answer.......................................................................................................................................
Answer:
dots?.............................................................................................................................................................................................................................................................
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
think its a
Step-by-step explanation:
the slope is 2/1 but both y int are different
Kristen and Marina are making prisms out of cardboard using the designs shown below.
Whose design uses more cardboard, and by how many square inches? Show how you determined your answer.
Answer:
kristen
Step-by-step explanation:
Please help! I also don’t understand a). My friend did it for me when I wasn’t looking so if you could explain that too, that’s be great
Answer:
a) 45
b) No. AD and BC arent parallel.
Step-by-step explanation:
a)
3x + 2x + x + 90 = 360
6x = 270
x = 45
Hope you could understand.
If you have any query, feel free to ask.
you eat 3/10 of a packet
of donuts. your friend eats 1/5 of
the pack of donuts. How much of
the pack do you and your friend
eat?
Answer:
5/10 or 1/2 is the answer I think
Pleaseee helpppp me!!!!!!!!!!!!!
Answer:
The graph is linear and increasing from x = -6 to x = -2.
The graph is nonlinear and decreasing from x = -2 to x = 0.
Step-by-step explanation:
Linear means it has a constant slope, or a constant rate of change. That makes a straight line on a graph. On the given graph, you can see the straight line increasing from x = -6 to x = -2.
Non-linear is just anything that isn't a constant slope, and makes a curve on a graph. On the given graph, the curve decreases from x = -2 until x = 0, where it reaches its lowest point and starts heading upwards again.
12 + 4 | 4y + 8 | = 20
12 plus 4 plus 8 is 24. so y is -1 because each y takes away 1.
If f(1)=3f(1)=3 and f(n)=f(n-1)^2-3f(n)=f(n−1) 2 −3 whatsthe value of f(4)f(4)
Answer:
Step-by-step explanation:
So you can do that for me and you have a lot to say I don’t want you have a lot
The new iPhone 13 Pro Max cost p dollars. T-Mobile is running a promotion that gives you a 45% discount. Write an expression to represent the cost after discount.
The expression that represents the cost after discount is ?
Answer:
0.55p
Step-by-step explanation:
Iphone before discount = 100%p
Iphone after discount = 55%p
Expression = (1 - 0.45)p
Expression = 0.55p
-Chetan K
Comepare and order the following numbers from least to greatest. 5.2 -5.666 3.9 ✔️21
Answer: 1st -5.666 2nd 3.9 3rd 5.2 4th21
Step-by-step explanation:
you don't have to worry about the .9 and .2 in 3.9 and 5.2 just look at it as 3 and 5. 5 is greater so it comes first and 21 is the greatest and -5.666 is negative so -5.666 is the least
The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.
Answer:
1st , 2nd , and 4th
Step-by-step explanation:
I need help so help please
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 3 ) and (x₂, y₂ ) = (2, 5 ) ← 2 points on the line
m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2
plz help me 3x+87 i really need help
Answer:
3 ( x + 29 )
Step-by-step explanation:
The best I can do is factor them, hope it helps!
The sum of two numbers is 13 and their diffrence is 3. what are the two numbers?
Answer: Hello!
The two numbers are 8 and 5 .
Step-by-step explanation:
Mark me brainest please. Hope I helped! Hope you make an 100%
Anna♥
three fifths of the children in a school are boys seven eighths of the girls in the school are right handed. What fractions of the children in the school are left handed girls?
Answer:
Step-by-step explanation:
Firstly, we need to get the fraction that are girls
What we have to do is to subtract the three-fifths from the total fraction of 1
Mathematically,that would be :
1- 3/5=2/5
We have it that seven-eigths of the girls are left-handed. This mean one-eight of the girls are left handed
To get the fraction of the school that are left handed, we multiply the fraction of girls by the fraction of left-handed girls
We have this as:
1/8 x 2/5=1/20
We have it that 1/20 of the children are left-handed girls
Jalisa buys candles in bulk to sell in her store. Her cost for each candle is $9. She marks up the candles 85%. How much does Jalisa charge per candle?
Answer:
$16.65Step-by-step explanation:
How much does Jalisa charge per candle?
$9 + 85% =$9 + $9*85/100 =$9*1.85 =$16.65A line has a slope of 9 and a y-intercept of 8. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer: y=9x+8
Step-by-step explanation:
y=mx+b
y=(slope)x+(y int)
just plug in
y=9x+8
slope^ ^y intercept
!! please help me i’ll mark brainliest !!
Answer:
1/2=(A+B)
area of triangle=1/2×base×height
Which fraction is equivalent to 9/12
=========================================================
Explanation:
Let's check to see if 9/12 is the same as 16/24.
Set them equal to one another, and then use cross multiplication like so
9/12 = 16/24
9*24 = 12*16
216 = 192
Both sides aren't the same value after simplifying everything. The third equation being false leads to the first equation being false as well.
Therefore, 9/12 is not the same as 16/24. We can rule out choice A.
-----------------------
Let's check choice B
9/12 = 15/20
9*20 = 12*15
180 = 180
We have a match, so 9/12 is the same as 15/20
Notice how:
9/12 = 0.7515/20 = 0.75Both fractions lead to the same exact terminating decimal, which is more evidence that the two fractions are equivalent.
Choice B is the final answer.
Please help I’ll mark u as brilliant
Answer:
-2,3
Step-by-step explanation:
So that is the highest point marked on the graph.
Last year at a certain high school, there were 60 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll increased by 10% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
19.3%
Step-by-step explanation:
There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375
0.19375 = 19.3%
It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds Submit
Answer:
9 pounds
Step-by-step explanation:
100% - 10% = 90%
90% -> .9
[Solving] 10 * .9 = 9
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
9 pounds
Step-by-step explanation:
10% of 10 pounds is 1 pound so baby Todd's current weight is 9 pounds.
help will reward brainly
Answer: Positive but I might be wrong I haven't done slopes in a while
Step-by-step explanation:
solve pls brainliest
Answer:
76%
Step-by-step explanation:
to make this a percentage we need to make the denominator 100. luckily 25*4=100, so multiply 19/25 by 4/4 to get 76/100. so our percentage is 76
Answer:
76%
Step-by-step explanation:
percent is out of 100, so 19*4/25*4=76/100=76%
AB, BC and CD are three sides of a regular octagon.
Find the size of angle BAC.
Give reasons for your answer.
Answer:
22.5°
Step-by-step explanation:
The exterior angle at B is 360°/8 = 45°. The congruent interior angles of the triangle at A and C total this amount. The angle BAC is 45°/2 = 22.5°.
The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
What fraction of his money did he spend on drink?
Give your answer in its simplest form.
Answer:
£114
Step-by-step explanation:
Rate brainliest please
[tex] \frac{57}{360} \times 720 = 114[/tex]
(7,1) and (-5,1)
Find the slope of the line that passes through the 2 points.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 1)/(-5 - 7)
m = 0/(-12)
m = 0
solve pls brainliest
Answer:
0.2% as a decimal is 0.002, 3.71 as a percentage is 371%