[tex]\\ \tt\longmapsto \dfrac{d}{dx}\sqrt{x}+\dfrac{1}{5x}-3[/tex]
[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}-3[/tex]
Derivative of any constant is 0[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \tt\longmapsto \dfrac{1}{2}x^{\frac{-1}{2}}-5x^{-2}[/tex]
[tex]\\ \tt\longmapsto \dfrac{x}{2}^{\frac{-1}{2}}-\dfrac{1}{5x^2}[/tex]
[tex]\\ \tt\longmapsto -\sqrt{\dfrac{x}{2}}-\dfrac{1}{5x^2}[/tex]
A car travels 800 kilometers in 10 hours. What is it's average speed? How far will it go in 14 hours?
Answer:
10
Step-by-step explanation:
[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]
[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]
[tex]\\ \rm\longmapsto Speed=80km/h[/tex]
Time=14h[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]
[tex]\\ \rm\longmapsto Distance=80(14)[/tex]
[tex]\\ \rm\longmapsto Distance=1120km[/tex]
Write down the formula of calculating the average of the individual data
It was recommended that students drink 48 or more ounces of water.
How could you use a histogram to easily display the number of students
who drank the recommended amount?
Histograms are used to graph the frequency of data, where the length of the bar represents the frequency.
The number of students that drank the recommended amount of water are 125
Given that
[tex]Recommended = 40\ or\ more[/tex]
The number of students who drank the recommended amount are students whose frequency (i.e. length of bars) is 40 or more
From the histogram (see attachment), only 2 bars are above the frequency of 40.
And the number of students in these bars are: 50 and 75
[tex]Total =50 + 75[/tex]
[tex]Total =125[/tex]
Hence, the number of students that drank the recommended amount of water are 125
Read more about histograms at:
https://brainly.com/question/14421716
Click on all of the numbers that make the comparison true.
8.32 >
A 8.058
B. 8.492
C. 8.41
D. 8.28
E. 8.1
F. 8.3
Answer:
A, D, E, F
Step-by-step explanation:
0.32 is bigger than 0.058; smaller than 0.492 and 0.41, but also bigger than 0.28, 0.10 and 0.30
Answer:
Step-by-step explanation:
35
100 POINTS + BRAINLIST IF RIGHT. GEOMETRY
In problems 13-15 is the bisector of AC
Please help 13-15 I’m struggling so hard :(
Hello! I'm happy to help!
Question 13: First, we will need to find the value of x. We know that AB and BC are equal.
So, we can subtract x from both sides.
2x-8
-x
x-8
So, we get AB as x-8
x+17
-x
17
and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.
17+25=42
Therefore, both AB and BC have a value of 42. and AC will be the combined total.
42+42=84
So, for question 13, x=25, AB=42, BC=42, and AC=84.
Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.
2x+12=3x-31
We need to single out the x on one side, by changing things in the same way on both sides.
2x+12=3x-31
-2x -2x
12=x-31
+31 +31
43=x
Now that we know our x value, we need to plug it in!
43+6=49
We now know that both AB and BC have a value of 49. Let's plug in the value for AC.
(43·3)-31
129-31
98
After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.
To Summarize Question 14: x=43, AB=49, BC=49, AC=98.
Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.
AB=3(3x-1) AB=9x-3
AC=5(2x+2) AC=10x+10
Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them
(9x-3)+(9x-3)=18x-6=AC
We now compare the two expressions in an equation to find x.
10x+10=18x-6
Again, we have to single out x on one side.
10x-10=18x-6
-10x -10x
10=8x-6
+6 +6
16=8x
This time, we need to divide both sides to single out x.
[tex]\frac{16}{8}[/tex]=[tex]\frac{8x}{8}[/tex]
2=x
Now that we have x, we need to plug it in to finish solving.
(9·2)-3
18-3
15
AB=15 BC=15
From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.
15+15=30 (10·2)+10
AC=30 20+10=30
AC=30
To Summarize Question 15: x=2, AB=15, BC=15, AC=30.
I'm always happy to help, keep learning! :D
2. Which number line is correct? Why are the others incorrect?
Answer:
the middle one is correct
Step-by-step explanation:
the first one is incorrect because the way negative numbers are ordered is incorrect it should be "-3, -2, -1"
the middle one is correct because the pattern is consistent and the order of the numbers are correct
the third one is incorrect because the pattern doesn't match "-15" isn't counting by twos 15 isn't an even number
hope I helped ❤
Explanation:
The first number line is incorrect because the -1, -2, -3 should be reversed to get -3, -2, -1. It's reversed because the negatives are a mirror image of the positive counterpart.
The second number line is correct. Each number shown is separated with a gap size of 20. This gap size stays the same throughout the number line.
The third number line is incorrect. The gap from -15 to -12 is 3 units, while the gap from -12 to -10 is 2 units. We see that the gap size isn't the same through the entire number line.
So to summarize: the gap size must be the same and the numbers must be written in the correct order.
A simple pulley with the give radius 4 in used to lift heavy objects is positioned 10 feet above ground level. Given that the pully rotates 720 degrees determine the height yo which the object is lifted.
9514 1404 393
Answer:
50.3 inches
Step-by-step explanation:
720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...
C = 2πr
C = 2π(4 in) = 8π in
Then 2 times that is ...
height lifted = 2(8π in) = 16π in ≈ 50.3 in
The object was lifted about 50.3 inches.
e) If the radede circle is 7em, then find the area of circle. al- (SSS. x at Solna -
Hi
area of circle, which is call in proper math terme circumference ( latin for going around) is given by this formula :
2 times radius x pi
As math is all about knowing your formula and training, I let you have a shot. You wont progress other wise.
Ask in comment section if you are still blocked.
Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits
Answer:
5,12,13
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
You have one box that is 1 4/11
feet tall and a second box that is 1.36 feet tall. Write the decimal expansion for
. If you stack the boxes, about how tall will the stack be?
The stacked boxes would be 2.72 feet tall
The height of the stacked box is the sum of the lengths of the two boxes
1 4/11 is a mixed number and it has to be converted to a decimal
A mixed number is a number that has a whole number and a proper fraction.
A proper fraction is a fraction is which the numerator is less than the denominator.
The whole number is 1 and the proper fraction is 4/11
To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number
4/11 = 0.36
1 + 0.36 = 1.36 feet
Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet
To learn more about decimals, please check:
https://brainly.com/question/18657762?referrer=searchResults
Need help on how how to do the question step by step need help ASAP
Answer:
4
Step-by-step explanation:
64 = 4 × 4 × 4 = 4³ , then
[tex]\sqrt[3]{4^3}[/tex]
= 4
Can someone plz help me?
Answer:
C 6 loaves with flour left over
Step-by-step explanation:
Take the amount of flour and divide by the amount of flour per loaf
9/2 ÷ 2/3
Copy dot flip
9/2 * 3/2
27/4
Change to a mixed number
4 goes into 27 6 times with 3 left over
6 3/4
Answer:
He can make 6 loafs and he would have 1/6 cups of flour left
Step-by-step explanation:
Please help work is due in a couple of minutes
Step-by-step explanation:
3m is the answer.
hope it helps
Answer:
3 meters
Step-by-step explanation:
The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).
f(x) = 3x2 – x
Find f(10)
Answer: f(10) = 290
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given expression
f(x) = 3x² - x
Substitute values into the expression
f(10) = 3(10)² - (10)
Simplify exponents
f(10) = 3(100) - (10)
Simplify by multiplication
f(10) = 300 - 10
Simplify by subtraction
f(10) = [tex]\boxed{290}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
HELP PLEASEEEEEEEEEEE
Answer:
The answer you have selected is correct.
Step-by-step explanation:
Answer:
X^2 - 7xy + y^2 +2y
Step-by-step explanation:
For this, they are just trying to test if u know how to expand the brackets, especially for the one on the right, since that is a negative infront of the bracket, u would need to multiply negative to all the values in that bracket
What is 50x30 I really need to know
Answer:
1500
Step-by-step explanation:
Basically 5*3 then add the two zeroes. One from 50 and 30.
is -6.146 contued a rational or irrational
explian pls
Step-by-step explanation:
cannot be written as a fraction so its irrational
(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.
(b) Find the common difference of an A.P. whose first term is 9, the number of terms is 7, and the sum is 0.
it's a optional mathematics Questions please solve him
The temperature reading that is halfway between −10 degrees and 40 degrees is ___ degrees.
If the temperature was −3 degrees in the morning and 8 degrees in the afternoon, the change in temperature during that time is ____ degrees.
If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was ___ degrees.
If the temperature continues to change at this rate of −1.5 per hour, and it is currently 5 degrees, the temperature in 4 hours will be ____ degrees.
Answer:
30, +11, 11, -1
Step-by-step explanation:
-10 + 30 = 10, 40 - 30= 10
-3 + 11 = 8
5 + (1.5 x 4) = 11
5 - (1.5 x 4) = -1
I need answers asap!!!!!!!
Step-by-step explanation:
with God everything is possible
explanation
because we go to church
PLEASE HELP 25 points and brainliest!
Answer: 8.1 × 10¹⁰
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
Given expression
(3 × 10⁶) × (2.7 × 10⁴)
Put like terms together
=3 × 2.7 × 10⁶ × 10⁴
Combine like terms
=8.1 × 10⁶⁺⁴
=[tex]\boxed{8.1*10^{10}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
8.1 x 10^10
Step-by-step explanation:
When you do this type of problem you want to combine the like terms together, in this case is this.
3 × 2.7 × 10⁶ × 10⁴. So you will get.
8.1 x 10⁶⁺⁴
Which is 8.1 x 10^10 simplified
I need help with this problem please explain it good cause I'm rlly confused on how to do like I know how to solve the actual equations like ik how to get -7 and 12 but I don't know how to answer it if that makes sense
Answer:
The correct choice is option B. -7 ≤ x < 12
Step-by-step explanation:
Please help!
Please do not just give the answer, also explain please because I need to know how to do this.
Find the value of X
Answer:
x = 6.5
Step-by-step explanation:
In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).
Sin = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent. So, our equation would look like this:
tan (57)° = 10/x
Multiply both sides by x
x (tan (57)°) = 10
Divide both sides by tan (57)°
10 / tan (57)° = 6.49408 = 6.5
Step-by-step explanation:
We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can
Remeber that triangles interior angles add up to 180.
Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so
[tex]90 + 57 + x = 180[/tex]
[tex]x = 33[/tex]
So the angle opposite of the side we are trying to find is 33.
Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines
[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]
where the numerator are the side measures, and the denominator are the angle measures.
Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.
[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]
Multiply both sides by sin 33 to isolate x.
We get
[tex]x = 6.494[/tex]
Round if needed
In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.
Using the numbers 2,7,13,11,5 can you get the total of 23? (You must use all numbers, no negatives, no using each number more than once, and only use Subtraction, Multiplication, addition, and division, you can also group numbers)
Answer:
(2-7)/5 + 13 + 11
Step-by-step explanation:
There's a lot of guess and check that needs to go into this to make this work, but here's what I got:
(2-7)/5 + 13 + 11
-5/5 + 13 + 11
-1 + 13 + 11
24 - 1
23
Which graph represents the solution set to the system of inequalities?
p.s. i didn't mean to click that answer
Answer:
A (the firs one)
Step-by-step explanation:
Intersecting at (-3, 3)
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease
Answer: 14-degree decrease
Step-by-step explanation:
because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.
Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius
Hello! I’ll take any help !!
Answer:
√73
Step-by-step explanation:
a^2+b^2=c^2
8^2+3^2=c^2
64+9=c^2
√73 =√c^2
√73 =c
Find the difference between temperatures of 17 degrees celcius above zero and 12 degrees celcius below zero
Answer:
29° C
Step-by-step explanation:
-17(-12)
=29
Hope this helps
Answer:
29C
Step-by-step explanation:
Above zero temperature = +17C
Below zero temperature = -12C
Difference= 17 - (-12C)
= 17 + 12 C
=29C
Simplify:
6 - 2 =
14 14
Answer:
6-2=1414
Step-by-step explanation:
6-2=1414
now
sub 6 from 2
4=1414
now divide 1414 by 4
1414÷4
[tex]1414 \div 4[/tex]
you will get the answer
Step-by-step explanation:
[tex] \frac{6}{14} - \frac{2}{14} \\ have \: same \: denomenator \: so \: we \\ \: can \: substract \: it \: directly \\ \frac{6 - 2}{14} \\ = \frac{4}{14} = \frac{2}{7} \\ thank \: you[/tex]
12 1/4 + 11.14 =
[tex]12 \frac{1}{4} + 11.14[/tex]
Answer:
166.25
Step-by-step explanation:
12 1 /4 + 154
166 1/4
665/4 , 166.25
Hey there!
12 1/4 + 11.14
= 49/4 + 11.14
= 12.25 + 11.14
= 23.39 or 23 39/100
Answer: 23.39 or 23 39/100
Good luck on your assignment and enjoy your enjoy your day!
~Amphitrite1040:)
