Can someone explain how you do fractions like adding them? And what rules they have to find the answer?
Answers
Answer:
Hope this image helps you. (sorry if it's tiny writing.)
Step-by-step explanation:
Related Questions
Evaluate each of the following limits.
a. lim 8(2 + h) – g(2)
if gt) = VI + 7
h
h→0
How do you solve this?
Answers
Answer:
lim = 1/6
Step-by-step explanation:
Apparently, we have ...
[tex]g(t)=\sqrt{t+7}[/tex]
It often works well to multiply by the conjugate of a difference that approaches zero.
[tex]\displaystyle\lim_{h\to 0}{\frac{g(2+h)-g(2)}{h}}=\lim_{h\to 0}{\frac{\sqrt{(2+h)+7}-\sqrt{2+7}}{h}}\\\\=\lim_{h\to 0}\frac{(\sqrt{9+h}-\sqrt{9})(\sqrt{9+h}+\sqrt{9})}{h(\sqrt{9+h}+\sqrt{9})}=\lim_{h\to 0}{\frac{(9+h)-9}{h(\sqrt{9+h}+\sqrt{9})}}\\\\=\lim_{h\to0}{\frac{h}{h(\sqrt{9+h}+3)}}=\left.\frac{1}{\sqrt{9+h}+3}\right|_{h=0}=\boxed{\frac{1}{6}}[/tex]
3. A rectangular deck has an area of 24 square yards. The length of the deck is shown in the figure. What is the width of the deck in yards? Enter your answer in the box.
Answers
Answer:
can you please send the picture as well because for this
(The length of the deck is shown in the figure.=??)
figure is needed ..
But we already know the Area
lwh=24
But I don't see the length of the deck that shown in the figure
Sorry you don't have enough information
There is a rack of 7 billiards balls, numbered from 1 to 7. If one ball is selected at random, determine the odds against it being an odd-numbered ball.
The odds are 0:0
(Type whole numbers. Simplify your answer.)
Answers
Answer:
Step-by-step explanation:
seven options 1, 2, 3, 4, 5, 6, 7
three successes for it being even. 2, 4, 6
odds are 3:7 of against randomly drawing an odd numbered ball.
A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey is of 70km, how far did he travel by train?
Answers
Answer:
The man traveled 20km by train.
Step-by-step explanation:
If x is the distance he traveled by train, you can write this equation to represent the situation:
[tex]10+x+2x=70[/tex]
Then, you can simply solve for x:
[tex]10+3x=70\\3x=60\\x=20[/tex]
The man traveled 20km by train.
[tex]10+(20)+2(20)=70\\10+20+40=70\\70=70[/tex]
Solve it (Easy question) :
[tex]\lim_{x \rightarrow 1} \cfrac{x {}^{2} - 25 }{x {}^{2} - 5 }[/tex]
Answers
The solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
The limit expression is given as:
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5}[/tex]
Express 25 as 5^2
[tex] \lim_{x \to 1} \frac{x^2 - 5^2}{x - 5}[/tex]
Express the numerator as the difference of two squares
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} \frac{(x - 5)(x +5)}{x - 5}[/tex]
Evaluate the quotient
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} (x +5)[/tex]
Remove bracket
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} x +5\\ [/tex]
Substitute 1 for x
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 1 +5[/tex]
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 6[/tex]
Hence, the solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
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A cruise ship is traveling northwest so that it makes a 45-degree angle with the east-west line. If it has traveled 35 miles from its starting point, what are the components of the vector s formed by the ship's path?
Answers
Answer:
Step-by-step explanation:
Answer:
(17.5√2 miles west, 17.5√2 miles north)
Step-by-step explanation:
The distance in the west direction will be ...
35cos(45°) = 17.5√2 . . . . miles west
The distance in the north direction will be ...
35sin(45°) = 17.5√2 . . . . miles north
The vector components are ...
(17.5√2 miles west, 17.5√2 miles north)
_____
Additional comment
When a map with the usual "north is up" orientation is overlaid on an x-y coordinate grid, the (x, y) ordered pair directions correspond to (east, north). Using that coordinate meaning for the vector components here, they would be ...
(-24.7, 24.7) miles
57846*3746 help please
Answers
Answer:216691116
Step-by-step explanation:
Answer:
216,691,116
Step-by-step explanation:
find the following right triangle, find the side length x
Answers
Answer:
x=41
Step-by-step explanation:
9²+40²=x²
81+1600=x²
1681=x²
√1681=√x²
41=x
Rectangle J′K′L′M′ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
Rectangle JKLM is drawn on the grid with vertices J at negative 7, negative 6. K is at negative 4, negative 6. L is at negative 4, negative 2. M is at negative 7, negative 2. Rectangle J prime K prime L prime M prime is drawn with vertices J at prime 6, negative 9. K prime is at 9, negative 9. L prime 9, negative 5. M prime is at 6, negative 5. Trapezoid STUV is drawn with vertices at S 3, 2. T is at 5, 5. U is at 2, 6. V is at 1, 4.
What will be the location of T′ in the image trapezoid S′T′U′V′?
(18, −2)
(18, 2)
(15, −2)
(15, 2)
Answers
The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The segment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.
In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units. droiyhjfgmdp[ytijkmrdo[ijy[hjmpoiujhokmonj-oimog[fujyjh[opifj[yuj'hkm[ofidyjhoijpofyijh[foist[Yaj[hkmcf[oiyjnjc[city[huff[pay[Pj[ifcjty[ijh[fjotijyh[Hj[fogyish[coif[t0yju[pick[fujph[fj0yh-hifcj[oijhpoijcoijhpouihughdxoiuhtoutpgoindxhouthughxdiurht09uhdxpjrtnhiuhdxiourth8iuthojucfptui9yhufchouihgcifuygtidhiougocdiudrhtudxhfogiurhtiohgcdoiuhoiuxdrhtoiughoiutdgr8uhseoiuhtdiuhroiuiudxdhgioudhugtoirugiudghxtiugdifurtyioudfxhriuytoduyhxotuyotiugoiutyoiuhrtuoihesoitughedugyhoiduhrtouhoiguhoidruthuihgdoiuhrtouighdoiurhtghoidutrhourthiuhdcoiutrioduhtgoiuhoitdrhgiouhoiuhderytgiudyhi8yetgiydhrugterudsoseoysrtgoivdxuht8ygfodushty8ugf9d8sythuygsd9e8tgoyfsdgtofidugsyt8g9s8ewgutiyges8tgiueysg7iygterysgt8t6yoesut
Solve by completing the square 2x^2+x-4=0
Answers
Answer:
x=-1±[65]
________
8
Step-by-step explanation:
solve the equation for xby finding a,b, and come of the quadratic then applying the quadratic formula
Cassidy is selling popcorn for a fundraiser sale at the price shown. he purchases a total of 150 containers of popcorn to sell. after he sells 25 containers, he will make a total profit, after his upfront costs, of $5.50 cassidy's profit, after upfront costs, can be modeled by a linear function in the form of y=mx+b.
C. Will the function be discrete or continuous? Explain.
D. Write the function that models Cassidy's profit.
E. What is the domain of the function?
F. What is Cassidy's profit or loss if he does not sell any popcorn?
G. What is cassidy's profit if he sells all the popcorn?
H. What is the range of the function?
Answers
The domain and the range of the function describes the possible profit or
loss from the sale of popcorn and the number of popcorn units.
The correct responses are;
C. The function is discreteD. The function is; y = 1.5·x - 32E. The domain is; 0 ≤ x ≤ 150F. The loss when non of the popcorn is sold is $-32G. The profit is $193H. The range is; -32 ≤ y ≤ 193Reasons:
The question parameters are;
The price of a popcorn = $1.5
Number of popcorn he purchases = 150
Total profit made = $5.50
The number of containers sold = 25
Therefore;
C. Given that the number of containers sole is countable, the function will be discrete.
D. Cost of the containers = Revenue - Profit
Which gives;
Cost of the containers = 1.5 × 25 - 5.5 = 32
The given function is therefore;
y = 1.5·x - 32
E. The domain is the 150 containers which gives;
The domain = 0 ≤ x ≤ 150
F. When no popcorn is sold, we have;
x = 0, which gives;
y = 1.5 × 0 - 32 = -32
If he does not sell any popcorn, the loss is $32
G. If all the popcorn are sold, we have;
x = 150
Therefore;
y = 1.5 × 150 - 32 = 193
The profit if all the popcorn are sold = $193
H. The range of the function are the possible y values, which is the possible profit or loss, which gives;
The range = -32 ≤ y ≤ 193
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Suppose a worker makes $286.08 in one week. If he is paid $5.96 an hour for the first 36 hours he works and then $8.94 an hour in overtime pay for each additional hour, how many hours did he work overtime
Answers
Answer:
5.96 x 36 = 214.56.
286.08 - 214.56 = 71.52
71.52 divided by 8.94 = 8.
He worked 8 additional hours.
Answer:
The worker worked about 8 hours overtime.
Step-by-step
First we figure out how much they made without overtime.
Multiply 5.96 x 36 and you would get 214.56
Then we figure out how many hours he worked overtime
Multiply 8.94 times 8 and you would get 71.52
Then take 214.56 and add 71.52, you would get 286.08, the answer is 8 hours overtime.
9. Sofija buys a bracelet for $14.50 plus 8% tax.
Momoka buys a necklace for $12 plus 8% tax.
Enter the sum, in dollars, that Sofija and
Momoka paid, including tax.
Answers
Answer:
$12.96
Step-by-step explanation:
Before Tax Price: $12.00
Sale Tax: 8.00% or $0.96
After Tax Price: $12.96
2. Dominique baked 4 dozen muffins. She wants to put the muffins in packages of 6.
How many packages will she have?
A 6
(B 8
© 10
0 24
E 288
Answers
Answer:
24 packages
Step-by-step explanation:
One dozen is 12, so 4 x 12 = 24
how to make chicken, with rice ....
Answers
Answer:
put rice with chicken
Step-by-step explanation:
0.15% of what number is 10.5
Answers
Answer:
70
Step-by-step explanation:
10.5/0.15 = 70
Check:
70 · 0.15 = 10.5
hellooo merry christmas !
can someone please help mee? ik its a lot but even just a little help would be very mich appreciated :))
Answers
Answer:
.....
Step-by-step explanation:
merry Christmas to you too
The position of a large fish relative to the water surface was −17 1/3 feet. It suddenly dove straight down and increased its depth by 6 1/2 feet. What is the position of the fish now relative to the water surface? Enter your answer as a mixed number, in simplified form, in the box.
Answers
-17 1/3 - 6 1/2
Now, let’s subtract the two integers by finding the least common denominator of 2 and 3 so it can be easier to solve in this case it’s 6…then let’s set up our new equation:
-17 2/6 - 6 3/6
We know it’s a negative number since we are subtracting a negative number and our final answer is -23 5/6
in the pediatric unit of a hospital has 165 beds how many are there if each room holds 3 beds
Answers
Answer:
There are 55 rooms
Step-by-step explanation:
There are 165 beds in the hospital. Each room contains 3 beds. In order to find the number of beds per room, take the total number of beds and divide it by the number of rooms in each bed. 165/3=55. There are 55 rooms in the hospital, all containing 3 beds.
Hope this helps!
Which theorem explains why the circumcenter is equidistance
Answers
h=-16t^2+72t+100 solve for t
Answers
Answer:0
Step-by-step explanation:
hey i'm in the six grade i'm not sure but pls try it
The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length is 14 inches longer than its width, find the width.
Answers
Answer:
width(w)= 20inches
Step-by-step explanation:
solution,
given,
perimeter of a rectangle (P)=68inches
length of rectangle= 14 inches
we know,
perimeter of a rectangle=2L + 2W
or,68=2×14+2×w
or,68-28=2w
or,40=2w
or,w=40÷2
or,w=20inches.
prove the identity.
(1-sin^2x)tanx=cosxsinx
Note that each Statement must be based on a Rule
Answers
[tex](1-\sin^2 x) \tan x \\\\=\cos^2 x \cdot \dfrac{\sin x}{\cos x}\\\\=\cos x \sin x[/tex]
There is an array under. what is the last number?
1 2 4 7 13 24 ?
Answers
Answer:
Here's one possible solution
Step-by-step explanation:
Double the number and subtract the corresponding value from the sequence
0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5...
1 + 1 - 0 = 2
2 + 2 - 0 = 4
4 + 4 - 1 = 7
7 + 7 - 1 = 13
13 + 13 - 2 = 24
24 + 24 - 2 = 46 ←←←
46 + 46 - 3 = 89
89 + 89 - 3 = 175
175 + 175 - 4 = 346
The plans for a shed call for a rectangular floor with a perimeter of 186 ft. The length is two times the width. Find the length and width.
Answers
Answer:
length: 62 ft
width: 31 ft
Step-by-step explanation:
Let w represent the width. Then the length is 2w and the perimeter is ...
P = 2(L+W)
186 = 2(2w +w)
31 = w . . . . . . . . . divide by 6
2w = 2(31) = 62
The length of the shed is 62 feet; its width is 31 feet.
Here are the ingredients for a cake. 0.225 kg butter 225 g sugar 225 g flour 0.2 kg eggs 250 g berries How much do the ingredients weigh altogether?
Answers
Answer:
1125.
Step-by-step explanation:
I'm going to work out the answer is grams.
1kg = 1000g
0.225kg of butter = 225g, 225g of sugar, 225g of flour, 0.2kg of eggs = 200g, 250g of berries.
225 + 225 + 225 + 200 +250 = 1125.
Hope that helps. x
Answer:
1.125kg or 1125g
Step-by-step explanation:
1kg: 1000g
Butter: 0.225kg or 225g
Sugar: 225g or 0.225kg
Flour: 225g or 0.225kg
Eggs: 0.2kg or 200g
Berries: 250g or 0.25kg
In kg: 0.225 + 0.225 + 0.225 + 0.2 + 0.25 = 1.125
In g: 225 + 225 + 225 + 200 + 250 = 1125
There are eight swans swimming on a pond and four of those swans are
black. What fraction of the swans are black?
Answers
Answer: A. (4/8)
Step-by-step explanation: If there is 4 black swans and 8 swans in total you could see it's 4 black swan out of 8 total swans. You could do
8/8 - 4/8 = 4/8 to find out the answer too.
Total no.of black swans= 4
Fraction of black swans among all swans= 4/8
If you simplify 4/8 you will get 1/2, in exam you have to always write the simplified version to get full marks
Hope it helped
Caleb’s receipt for lunch is shown below is Caleb pays with a $10 bill how much change will he receive
Answers
Answer:
Please attach the screenshot for the receipt so people can answer
Answer:
3.08
Explanation
3.79
+1.45
1.24
-----------
6.53
+ .39
-----------
6.92 Now
10.00
- 6.92
3.08
Find f ′(x) for f(x) = ln(x^4 + e^(2x)).
Answers
[tex]\text{Given that,}\\\\\\f(x) = \ln(x^4 +e^{2x})\\\\\\f'(x) = \dfrac{1}{x^4 + e^{2x}} \left(4x^3+2e^{2x}\right) = \dfrac{2(2x^3+e^{2x})}{x^4 + e^{2x}}~~~~;[\text{Chain rule}]\\\\\\\text{Note:}\\\\\dfrac{d}{dx} \ln x = \dfrac 1x\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} e^{mx} = m e^{mx}[/tex]
After solving the given equation, the value obtained is equal to [tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex].
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given data in the question,
f(x) = ln (x⁴ + e²ˣ)
[tex]f'(x)=\frac{1}{x^4+e^2^x}(4x^3+2e^2^x)[/tex]
Now, use the chain rule,
[tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex]
Also, note some points,
d/dx ln (x) = 1/x
[tex]\frac{d}{dx}x^n=nx^n^-^1[/tex]
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Based on the scatterplot, what is the best prediction of the amount of $ in sales when the temperature is at 21°C?
Answers
Answer:
Between 400$ and 500$
Step-by-step explanation:
Draw a straight line that follows the scatterplot - either by guesstimating (best choice) or by applying any known method to extrapolate a line. Then it's just a matter of reading the y value corresponding to that x. Hardly a perfect image, but close enough since it's a prediction