[tex]\dfrac{d}{dx} \left(\dfrac{x+9}{x+1}\right)\\\\\\=\dfrac{(x+1)\dfrac{d}{dx}(x+9) - (x+9) \dfrac{d}{dx}(x+1)}{(x+1)^2}\\\\\\=\dfrac{(x+1) - (x+9)}{(x+1)^2}\\\\\\=\dfrac{x+1-x-9}{(x+1)^2}\\\\\\=-\dfrac{8}{(x+1)^2}[/tex]
Jake ran 4% miles in % of an hour. How fast did he run in one hour?
In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the width of the trapezoid if AC = 3, AD = 5.
Answer:
solution given:
let's see only in a right-angled triangle Δ ACD.
AC=3 units
AD=5 units
since Δ ACD is a right-angled triangle. It satisfies Pythagoras law
[tex]AD^{2}=AC^{2}+CD^{2}[/tex]
25=9+[tex]CD^2[/tex]
[tex]CD^2[/tex]=25-9=16
[tex]CD=\sqrt{16} =4 units[/tex]
Now
Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]
similarly,
[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]
since AB=CE=2.4 units
Δ ACE is a right-angled triangle. It satisfies Pythagoras law.
[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]
now
area of trapezoid=area ofΔACD+Area of ΔABC
=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]
Help me with my math please
Step-by-step explanation:
1 _21:00_ , _22:10_, 1:10
2. 1:20
3. 18:00
4. 21:35
1. 21:00, 22:10, 1 hr and 10 minutes
2. 20 minutes
3. 18:40
4. 21:35
Can someone explain how you do fractions like adding them? And what rules they have to find the answer?
Answer:
Hope this image helps you. (sorry if it's tiny writing.)
Step-by-step explanation:
Factorise the following expressions.
a² + 8a + 16
Explanation :
________________________________
Factorizes:
⇒ a² + 8a + 16 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ a² + 4a + 4a + 16 = 0.
⇒ a(a + 4) + 4(a + 4) = 0.
⇒ (a + 4)(a + 4) = 0.
⇒ (a + 4)² = 0.
⇒a=-4.
Hence a=-4.
What is the diameter of a circular swimming pool with a radius of 9 feet? Enter only the number
Answer:d=18FT
Step-by-step explanation:
YOUR WELCOM :)
what is integration ....nd differentiation
Answer:
Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.
Answer:
integration is the opposite of differentiation
Step-by-step explanation:
integration requires addition of 1 to the power and then division by the value eg
the integral of
[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]
while in differentiation, u subtract one and multiply by the value. eg
the differential of
[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]
Read in equality quality for the graph shown below use ask for your beard
Answer:
x<-3
Step-by-step explanation:
What is the value of x in the equation 4
.
+
2
Answer:
x=-3
Step-by-step explanation:
If the sum of squares for a sample containing 51 items equals 200, what is the standard deviation?
A) 1.98
B) 2.00
C) 3.92
D) 4.00
The standard deviation is 1.98. Option A is correct.
The standard deviation formula is given as
[tex]\sigma = \sqrt{\frac{SS}{n} }[/tex]where:
SS is the sum of squares = 200n is the sample size = 51Substitute the given parameters into the formula to have:
[tex]\sigma = \sqrt{\frac{200}{51} }\\\sigma = \sqrt{3.922}\\\sigma = 1.980[/tex]
Hence the standard deviation is 1.98
Learn more on standard deviation here: https://brainly.com/question/12402189
Dave and Kyle are 40 miles apart on a path when they start moving toward each other. Dave runs at a constant speed of 8 miles per hour, while Kyle walks at a constant speed of 5 miles per hour. How long does it take until they meet?
Answer:
About 3 hours
Step-by-step explanation:
together, they go 13 miles in one hour. 40/13 = 3 with remainder 1
Suppose the sample space for a probability experiment has 48 elements. If items from the sample space are selected without replacement, how many different ways can you select all of the items?
Answer:
56study hard watch your book for 20 minute and look....this is a hint
The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?
Answer:
281.25 miles
Step-by-step explanation:
2=250
1=125
0.5=62.5
0.25=31.25
250+31.25=281.25
Please some urgent help!!!!
Answer:
brain less or i hack ur acc to ban
Step-by-step explanation:
u cant report me because im hacker
Which graph or graphs show that a 5 minute phone call costs $4?
The graph should show an increase of $ 0.80 for every minute that the call lasts.
A 5 minute phone call costs $ 4, with which, to determine the information that the graph should show, the following calculation must be performed:
4/5 = X 0.80 = X
Therefore, the graph should show an increase of $ 0.80 for every minute that the call lasts.
Learn more about maths in https://brainly.com/question/25834039
Answer:
Step-by-step explanation:
Hassan made a vegetable salad with 2 3/8 pounds of tomatoes, 1 1/4 pounds of asparagus, and 2 7/8 pounds of potatoes. How many pounds of vegetables did he use altogether?
Btw please show work.
Step-by-step explanation:
OK so
Tomatoes = 2 3/8 = 19/8 (turned into improper fraction)
Asparagus = 1 1/4 =5/4
Potatoes = 2 7/8 = 23/8
Total vegetables used =
19/8 + 5/4 + 23/8 = 42/8 + 5/4 = 42+10/8 =52/8
Answer is 52/8 = 6.5
Answer : 52/8 pounds were used altogether
See picture for solution.
What could be
a good option available to you if you are
behind on loan payments?
A good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.
For a good financial management, the best decision to make profit or avoid loss is paramount.
The most difficult challenge faced today by loan companies is the non complaisance of the customers to pay back when the period given expires.
The best option that may be available for the loan manager must be a request for the customer to pay part of the loan and complete the payment in the next pay day.
Thus, a good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.
Learn more about options for loan payment here: https://brainly.com/question/12233464
Use the exponential regression equation that best fits the data (10,4). (12,20), (13,35), and (16,300) to estimate y when x = 15.
A 53.1
В. 97.2
C. 146.7
D. 254.8
Answer:
c 146.7
Step-by-step explanation:
cuz
Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has.
Answer:
0.25q +0.10d = 4.20q = 2dStep-by-step explanation:
Let q represent the number of quarters, and d represent the number of dimes.
0.25q +0.10d = 4.20 . . . . . the value of the coins
q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.
__
Additional comment
Using substitution, the equation simplifies to ...
0.60d = 4.20
d = 7
q = 14
Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.
Please help I don't understand
| X = 2 | Y = 3 | Z = 4 |
Evaluate the expression using the solutions above
5x + 6z + 2y
Answer:
The expression can be written as:
5(2) + 6(3) + 2(4).
if I'm wrong, please tell me
Mr. Factor bought 9.8 gallons of gasoline at $1.15 a gallon. How much did he pay for the gasoline?
Answer:
8.52
Step-by-step explanation:
9.8 divided by 1.15 = 8.52
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers:
[tex]I(-2,-1) \to I \ ' \ (-5,-2.5)\\\\J(-1,2) \to J \ ' \ (-2.5,5)\\\\K(2,-1) \to K \ ' \ (5,-2.5)\\\\[/tex]
===============================================
Explanation:
Since the center of dilation is the origin, we multiply each preimage coordinate by 2.5 (which is the scale factor).
For example, the preimage point J(-1, 2) moves to J ' (-2.5, 5)
-1*2.5 = -2.52*2.5 = 5This will cause the image triangle I'J'K' to be larger than the preimage IJK. Specifically, each side of the image is 2.5 times longer compared to the preimage.
Answer:
i' (-5, -2.5) J' (-2.5, 5) K' (5, -2.5)
Step-by-step explanation:
you just take the original coordinates and multiply them by 2.5
What is the simplest form of
Answer:
B
Step-by-step explanation:
This is a special array.
1,2,2,5,2,2,9,0,...
what is next number?
Answer:
2
Step-by-step explanation:
the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly
3 + 12 + 48 + 192 + ...
Whats the answer
Answer:
3, 12, 48, 192, 768, 3072, 12288 these are the next seven numbers
Add them all up and you get
= 16383 Answer CStep-by-step explanation:
[tex]3, 12, 48, 192[/tex]
So from 3 to 12 is multiply by 4
So we have checked that it works for all of them
Rule:
Each term is: Two to the power of the number3/4 times the number squared plus 0 times the number
I hope this has helped :)
What is the purpose of constructing a confidence interval?
O In order to find a range of values to estimate the population
proportion.
o In order to find a range of values to estimate the sample proportion.
o To find the exact value of the population proportion.
o In order to find the exact sample proportion.
Using the interpretation of a confidence interval, it is found that the correct option is:
In order to find a range of values to estimate the population proportion.x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. From the above bullet point, we have that the interval is taken from a sample, and is used to estimate a population parameter.Hence, the correct option is:
In order to find a range of values to estimate the population proportion.You can learn more about the interpretation of a confidence interval at https://brainly.com/question/25822483
(2+√3)+(4-√3)
[tex] [/tex]
Explanation :
________________________________
Given:
(2+√3)+(4-√3)
To Find:
Evaluate the expression
Solution:
⇨Step 1:
Remove the parentheses
(2+√3)+(4-√3)
When there is + or no sign in front of an expression in parentheses, the expression remains the same
= 2 + √3+ 4-√3
⇨Step 2:
Cancel the opposite terms √3 and -√3
"Two numbers are opposites if they have the same absolute value but different signs"
= 2 + 4
⇨Step 3:
Add the numbers
= 6
Hence (2+√3)+(4-√3) = 6.
I WILL GIVE BRAINLY!!!
-x - 8 ≤ 16
Please answer! Is the answer 24 or -24?
My last inequality before I got my answer was : -x ≤ 24.
But as we know if there is a varible that has no number associated with it we assume that the number for it is just one, but in this case -x would be -1x. So if I divide -1x/-1 that would be x, but if I divide 24/-1, that would be -24. So in the end someone just tell me if it's 24 or -24?!
Answer: The answer is X ≥ -24.
Explanation in the image.
Joe wants to build a doll house for his daughter. He wants the doll house to look just like his house. His house is 29 feet wide and 32 feet tall at the highest point of the roof. If the dollhouse will be 2.5 feet wide, how many feet will its highest point be? (Round your answer to one decimal place.)
Answer:
3.5 feet
Step-by-step explanation:
The highest point of the dollhouse will be 2.76 feet.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The width of house = 29 feet.
And the height of the house = 32 feet.
Also, the width of dollhouse = 2.5 feet
Let the height of the doll is x feet.
To find the value of x,
Use proportion property,
29 / 32 = 2.5 / x
x = (32 × 2.5) / 29
x = 80 / 29
x = 2.758
the height of the doll is 2.76 feet.
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The midpoint M of ST has coordinates (5, 5). Point T has coordinates (9,5). Find the
coordinates of point S.
Answer:
5,5
Step-by-step explanation: