Answer: See explanation
Step-by-step explanation:
We are informed that Ahmad averaged 12 km/h in the first 2 hours. Total distance for the first 2 hours = 12km × 2 = 24km.
In the next three hours he averaged 8 km/h. The total distance for the next 3 hours = 8km × 3 = 24 km
A) Calculate the total distance covered.
This will be the distance covered for the 5 hours. This will be:
= 24km + 24km
B. Calculate his average speed for the whole journey.
This will be:
= Total distance covered / Total time taken
= 48km / 5
= 9.6 km/hour
multiplying decimals
Answer:
Dividing decimals +×÷=
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
help please
simplify the following using L'Hôpital's Rule:
[tex]\displaystyle\lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]
[tex]\text{note:explanation is a must}[/tex]
Answer:
[tex] \displaystyle \: \frac{5}{4} [/tex]
Step-by-step explanation:
we are given a expression
we are said to solve it using L'Hôpital's Rule
recall, L'Hôpital's Rule:
[tex] \displaystyle \lim _{x \to \: c}( \frac{f(x)}{g(x)} ) = \lim _{x \to \: c} \frac{f ^{'}(x) }{ {g}^{'}(x) } [/tex]
it is to say the ' means derivative
our given expression:
[tex]\displaystyle\lim_{ x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]
let's apply L'Hôpital's Rule
[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)}[/tex]
some formulas of derivative
[tex] \displaystyle \: \frac{d}{dx} {x}^{n} = {nx}^{n - 1} [/tex]
[tex] \displaystyle \: \frac{d}{dx} {x}^{} = 1[/tex]
[tex] \displaystyle \: \frac{d}{dx} {c}^{} = 0[/tex]
[tex] \sf \displaystyle \: \frac{d}{dx} {f}^{} (x) + {g}^{}(x) = {f}^{'} (x) + {g}^{'}(x)[/tex]
use sum derivative formula to simplify:
[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2)+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ \dfrac{d}{dx} (x^2) + \dfrac{d}{dx} (-4)}[/tex]
simplify using exponents using exponent derivative formula:
[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]
use variable derivative formula to simplify variable:
[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]
use constant derivative formula to simplify derivative:
[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ 0}{ 2x + 0}[/tex]
simplify addition:
[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1}{ 2x }[/tex]
since we are approaching x to 2
we can substitute 2 for x
[tex]\displaystyle\lim_{ x\to 2}\frac{ 2.2+ 1}{ 2.2 }[/tex]
simplify multiplication:
[tex]\displaystyle\frac{ 4+ 1}{ 4}[/tex]
simplify addition:
[tex] \displaystyle \: \frac{5}{4} [/tex]
hence,
[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)} = \frac{5}{4} [/tex]
Answer:
5/4 is your answer hope it helps
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Answer:
No
Step-by-step explanation:
For this triangle to be a right triangle the following has to happen:
a^2 + b^2 = c^2
a=3, b=9, c= 12
3^2+9^2 does not equal 12^2
9+81 = 90 12^2 = 144
90 does not equal 144 so is not a right triangle
Answer:
see explanation
Step-by-step explanation:
Using converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 12 , then 12² = 144
3² + 9² = 9 + 81 = 90 ≠ 144
Thus the triangle is not right.
Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!! with (11)(−4) 12=
Answer:
you just multiply the values inside the parentheses. 11 x -4 x 12, so its -44 x 12, being -528
Step-by-step explanation:
Determine which ordered pair is part of the solution set for the inequality.
3x + y ≥ 6
(4, 3), (-2, 4), (-5, -3), (3, -3)
a) What is the mean?
b) What is the median?
c) What is the mode?
Answer:
Mean- 5
median- 4
Mode- 2
Wayne types about 50 words per minute.A typical double spaced page contains 500 words.how long doe sit take Wayne to type 8 1/2 pages?
Answer:
Step-by-step explanation:
50t=500(8.5)
t=10(8.5)
t=85 minutes
Answer: 85 minutes
Step-by-step explanation:
First, find how many minutes it takes for Wayne to type a page containing 500 words. 500/50= 10 minutes
You then multiply that by 8
8(10)= 80 minutes to type 8 pages.
Now find how many words are in half a page.
500/2=250 words
Divide that by the amount of words Wayne can type per minute. 250/50= 5
Add that to the amount of minutes it took to type 8 pages. 85 minutes
Which is also 1 hour 25 minutes
Need help with this. Find the value of each variable.
Answer:
Step-by-step explanation:
By applying sine rule in ΔACD,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{CD}{AD}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{z}{24}[/tex]
z = [tex]8\sqrt{3}[/tex]
By applying cosine rule in ΔACD,
sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(30°) = [tex]\frac{AC}{CD}[/tex]
[tex]\frac{1}{2}=\frac{AC}{24}[/tex]
AC = 12
By applying tangent rule in ΔACB,
tan(45°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
1 = [tex]\frac{AC}{BC}[/tex]
y = 12
By applying sine rule in ΔACB,
sin(45°) = [tex]\frac{BC}{AB}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{y}{x}[/tex]
x = y(√2)
x = 12√2
which of the following segments is Tangent to the circle
Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary
Answer
238π yd^2
Step-by-step explanation:
here's your solution
=> height of cylinder = 10 yd
=> radius of cylinder = 7 yd
=> formula to calculate surface area = 2πr(h + r)
=> putting the value of height and radius in formula
=> SA = 2*22/7*7(10+7)
=>. SA = 2*22*17
=> SA = 748 yd.sq
hope it helps
Divide: (-30x2 - 12x+18)+6
Answer: -30x^2 -12x + 24
Step-by-step explanation:
(-1/5) + 4/5 = x
^those are fractions btw. Plz answer.
Answer:
x= 3/5
Step-by-step explanation:
i hope this helps :)
Solve the system by substitution.
y = 7x – 20
y = 2x
Answer:
x=4 y=8
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
Answer quickly! :)
Write an equation to represent the image!
Answer:
p+p+p = 1/2 or 3p=1/2
Step-by-step explanation:
help i dont know what to do
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
376.99 cm^3 or 120π cm^3
Step-by-step explanation:
The volume of a cone is 1/3(B*h) where B is the base area and h is height.
The base of a cone is a circle.
Area of a circle=πr^2
Area of the circle=π6^2
Area of the circle=36π
Plug it into the formula for the volume:
V=1/3(36π*10)
V=1/3(360π)
V=120π
V=376.99
If this helped please consider giving brainliest.
Calculate the following using long division show all working 896 divided by 7
Answer:
128
Step-by-step explanation:
896
7 goes into 8 once
Subtract 7 from 8 and bring the one down.
8 goes into 19 twice
Subtract 14 from 19 and bring the five down.
7 goes into 56 eight times.
So your answer is 128.
Hope this helps
What is the slope of this graph?
Convert the fraction below into a decimal: 9/24
Answer:
0,375
Step-by-step explanation:
Answer:
0.375
Step-by-step explanation:
Jake and three of his friends had an Easter egg dying party. Each of the boys received 6 eggs to dye. What was total number of eggs jake and his friends dyed?
Answer:
30
Step-by-step explanation:
took the test
Answer:
24
Step-by-step explanation:
6 x 4 = 24
URGENT
what is the surface area of this prism
Answer:
total surface area = 79.8 cm^2
Step-by-step explanation: open up the prism into nets, and it has a base of 3 and height of 2.6. do 1/2 times 3 times 2.6=3.9*2=7.8. Then do 3(3*8)=72. 72+7.8=79.8. I believe this is the answer to the best of my ability, hope this helps.
I need help to know the volume
Answer:
167.55 ur welcom
Who can help me out with this please??
Answer:
x = 11.8
Step-by-step explanation:
hypotenuse = 12
1 leg = 10 - 8 = 2
Formula:
a² + b² = c²
a² + 2² = 12²
a² + 4 = 144
a² = 144 - 4
a² = 140
[tex]\sqrt{a^2} =\sqrt{140}[/tex]
a = 11.8
Answer:
x = 11.8
Step-by-step explanation:
hypotenuse = 12
1 leg = 10 - 8 = 2
Formula:
a² + b² = c²
a² + 2² = 12²
a² + 4 = 144
a² = 144 - 4
a² = 140
Subtract -2x-10 from 10x^2+3.
Answer:
x= 10 − 129 i−1 ≈−0.1−1.135781669i
Step-by-step explanation:
(10x^2+3) - (-2x-10) = 10x^2+2x+13
Write the equation of the graph.
Please help giving brainiest and 30 points
Answer:
94
Step-by-step explanation:
because it all adds up to 180 (i want brainliest)
What following number is in between 2/5 and 7/8?
15/16, 3/4, 3/8, 1/3
Answer:
Step-by-step explanation:
You need to give all the fractions a common denominator so you can compare the numerators.
The least common multiple of 5, 8, 16, 4, 3 is 240.
⅖ = 96/240
⅞ = 210/240
15/16 = 225/240
¾ = 180/240
⅜ = 90/240
⅓ = 80/240
The only numerator between 96 and 210 is 180.
180/240 = ¾
⅖ < ¾ < ⅞
1. Simplify 4(2x^3y^4)^4/2(2x^2y^6)^3
show your work
Answer:
4x⁶ / y²Step-by-step explanation:
4(2x³y⁴)⁴ / 2(2x²y⁶)³ = 2(2⁴x¹²y¹⁶) / (2³x⁶y¹⁸) =2(2⁴⁻³)x¹²⁻⁶y¹⁶⁻¹⁸ = 2*2x⁶y⁻² = 4x⁶ / y²6+6= (mod 4)
Determine what number the sun is congruent to in mod 4
Answer:
c gsudhdbxjxjsjsbhxidhsv susb
What factor is represented by the yellow shading in the model? [Hint: Include the overlapping area.]
Answer:
[tex]Fracton = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The fraction of yellow
From the attached image:
[tex]Yellow = 5[/tex]
[tex]Total = 30[/tex]
So, the fraction is:
[tex]Fracton = \frac{Yellow}{Total}[/tex]
[tex]Fracton = \frac{5}{30}[/tex]
Divide by 5/5
[tex]Fracton = \frac{1}{6}[/tex]
Answer: 4/5
Step-by-step explanation: