Answer:
12 = m + 7
Step-by-step explanation:
When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!
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?
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]
As an improper fraction simplified
Answer:
82/63
Step-by-step explanation:
The sum can be found using the formula ...
[tex]\dfrac{a}{b}+\dfrac{c}{d} =\dfrac{ad+bc}{bd}[/tex]
For the given fractions, the sum is ...
[tex]\dfrac{6}{7}+\dfrac{4}{9} =\dfrac{6\cdot9+7\cdot4}{7\cdot9}=\dfrac{54+28}{63}=\boxed{\dfrac{82}{63}}[/tex]
_____
Additional comment
When the denominators have no common factor, the least common denominator is their product, as here.
Answer:
For this question, you can make the denominators the same to get the answer.
LCM of 7 and 9 = 63
[tex]\frac{6}{7} + \frac{4}{9} = \frac{54}{63} + \frac{28}{63} \\[/tex]
= [tex]\frac{82}{63}[/tex]
= 1[tex]\frac{19}{63}[/tex]
prove the identity.
(1-sin^2x)tanx=cosxsinx
Note that each Statement must be based on a Rule
[tex](1-\sin^2 x) \tan x \\\\=\cos^2 x \cdot \dfrac{\sin x}{\cos x}\\\\=\cos x \sin x[/tex]
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?
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
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
Answer:
24 packages
Step-by-step explanation:
One dozen is 12, so 4 x 12 = 24
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.
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 ..
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
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.
hellooo merry christmas !
can someone please help mee? ik its a lot but even just a little help would be very mich appreciated :))
Answer:
.....
Step-by-step explanation:
merry Christmas to you too
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.
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.
how to make chicken, with rice ....
Answer:
put rice with chicken
Step-by-step explanation:
Based on the scatterplot, what is the best prediction of the amount of $ in sales when the temperature is at 21°C?
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
Help help help math math help
x = 27
Step-by-step explanation:
The two angles shown are called co-exterior angles and by definition, their sum is equal to 180° so we can write
[tex](3x - 3) + (4x - 6) = 180[/tex]
[tex]\Rightarrow 7x - 9 = 180[/tex]
Simplifying this further, we get
[tex]7x = 189 \Rightarrow x = 27[/tex]
There are eight swans swimming on a pond and four of those swans are
black. What fraction of the swans are black?
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.
Help help help math math
Answer: -1 = (-3/3)
Step-by-step explanation
You go from one point to another, i started from 3,1 and went to 3,0. I got down -3 which is my rise and right 3 for the run. Tell me if this is correct
Which theorem explains why the circumcenter is equidistance
A girl ran to the store at a speed of 6 miles per hour, and then walked back at a speed of 4 miles per hour. If her round trip took 15 minutes, how far away is the store?
Answer:
.6 miles
Step-by-step explanation:
Answer:
0.6 miles
Step-by-step explanation:
6 × t = 4 × (15 - t)
6t = 60 - 4t
6t + 4t = 60 - 4t + 4t
10t = 60
t = 6
6 × [tex]\frac{1}{10}[/tex] = 0.6
x^2 + bx - 4 = 0?
What is b equal to?
[tex]\mathfrak{ x ^ { 2 } + b x - 4 = 0} [/tex]
[tex]\mathfrak{bx-4=-x^{2} } [/tex]
[tex]\mathfrak{bx=-x^{2}+4 } [/tex]
[tex]\mathfrak{xb=4-x^{2} } [/tex]
[tex]\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{ b=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{b=-x+\frac{4}{x} } [/tex]
AnSwEr
[tex]\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }[/tex]
ღ ꪑ꠸᥅ꫀꪊ
Simplify -6
1
4.
8
3
00w
8
1
A
8
00
00 W
3
8
8
Answer:
4th on should be the correct
find the following right triangle, find the side length x
Answer:
x=41
Step-by-step explanation:
9²+40²=x²
81+1600=x²
1681=x²
√1681=√x²
41=x
Find f ′(x) for f(x) = ln(x^4 + e^(2x)).
[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]
To know more about Expression:
https://brainly.com/question/14083225
#SPJ2
Fill in the missing values.
151.5 cm =? m
151.5 cm = ? m
(Type an integer or a decimal.)
Answer:
151.5 cm = 1.515 m
151.5 cm = 1515/1000 m
Solve by completing the square 2x^2+x-4=0
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
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?
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]
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.
PLEASE HELP ME please
Answer:
C
Step-by-step explanation:
There isnt rly a lot of information from this question but my best guess would be C. It says "1 drop in each eye bid every 10 days", so assuming that 1 drop equals 1 ml and knowing we have to do it in "each eye bid" we could assume 2ml of eye drops would be used every 10 days.
Sorry if im wrong but i hope this helps have a great day and happy holidays (｢•-•)｢
There is an array under. what is the last number?
1 2 4 7 13 24 ?
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
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?
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
Divide 3/8 divided by 2/3 and express the answer in the simplest terms.
SOMEBODY HELP ME NO LINKS PLEASE
Pls help as soon as possible thank you
Answer:
The domain corresponds to the values of the x and the range to the values of the y. So:
D: {-3, 0, 3}
R: {-6, 0, 6}
Answer:
[tex]\huge\boxed{A.}[/tex]
Step-by-step explanation:
Domain:
"Set of values on x-axis"
Domain = {-3,0,3}
Range:
"Set of values on y-axis"
Range = {-6,0,6}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807