Answer:
A. 2
Step-by-step explanation:
[tex] \int_0^1 \: 5x \sqrt x \: dx \\ \\ = \int_0^1 \: 5x . \: {x}^{ \frac{1}{2} } \: dx \\ \\ = 5\int_0^1 \: {x}^{ \frac{3}{2} } \: dx \\ \\ = 5 \bigg( \frac{ {x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1 } \bigg)_0^1\\ \\ = 5 \bigg( \frac{ {x}^{ \frac{5}{2} } }{ \frac{5}{2}} \bigg)_0^1 \\ \\ = 5 \times \frac{2}{5} \bigg({x}^{ \frac{5}{2} } \bigg)_0^1 \\ \\ = 2 \bigg( {1}^{ \frac{5}{2} } - {0}^{ \frac{5}{2} } \bigg) \\ \\ = 2(1 - 0) \\ \\ = 2[/tex]
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
PLZ HELPPP!!! whoever answers first with a good answer ill mark as brainliest
This is because the nth term is found by adding the previous two terms
F(n) = nth term
F(n-1) = term just before the nth term
F(n-2) = term before the F(n-1) term
F(n) = F(n-1) + F(n-2)
We can re-index values of n to say this equivalent statement
F(n+2) = F(n+1) + F(n)
Based on either equation mentioned, adding F(51) and F(52) will get us F(53). In other words, the 51st and 52nd terms add to the 53rd term.
Find x
Help me please
I'll give you 13 points if it's correct
Please help me ASAP! and thank you
Answer:
214°
Step-by-step explanation:
Full circle measure = 360°
Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)
Therefore:
Measure of arc ACB = 360° - arc AB
Measure of arc ACB = 360° - 146°
= 214°
Can someone help me solve this problem please
Thankyouuuu
Answer:
in picture
Step-by-step explanation:
Brainliest please
Answer:
this is the best way for the question
Match each percent with the fraction or decimal equivalent. 5% 0.25 15% 0.07 6.5% 1 20 25% 0.065 7% 3/20
Answer:
5% = 1/20
15% = 3/20
6.5% = 0.065
25% = 0.25
7% = 0.07
Step-by-step explanation:
I hope this helps! Just ask me if you have any questions.
Have a nice dayy! :)
Answer:
.05 25% .15 7% .065 100% 2000% .25
Step-by-step explanation:
Percentages to decimals :
example
5% = .05
First remove the % sign: 5
Where is the decimal? Here : 5.00
Now move the decimal to the left two places. Fill the gaps with zeros : .05
Another way to do it is by divide the number by 100. Use a calculator if necessary.
Example 2: 6.5%
Move decimal two places to left: .065
Example 3: .56%
Move decimal to places to the left: .0056
Decimals to percentages. Do the exact opposite. Move decimal to places to the right then add the % sign.
Example: .25 becomes 25%
.07 becomes 07% or just 7%
The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo. If 21 more animals are added, how many total keepers are needed to maintain the ratio of keepers to animals?
City Zoo
Number of Keepers Number of Animals
12 42
Answer:
18
Step-by-step explanation:
42+12= 63
63/7=9
9*2=18
Answer:
18
Step-by-step explanation:
plato/edmentum
Solve for X (line a and b parallel)
Answer:
x=29°
Step-by-step explanation:
as lines are parallel.
external alternate angles are equal.
7x-86=4x+1
7x-4x=1+86
3x=87
x=87/3=29
in how many ways can alice distribute 12 apples to 3 children? each child has to have AT LEAST 1 apple.
Answer:
I think it would be 4 apples for each of them !
Step-by-step explanation:
its division. you had to do 12 ÷ 3
Answer:
The answer is 4 apples per child.
Step-by-step explanation:
If we have 12 apples and 3 children we write as a ratio like this:
12:3
So we have to figure out how many apples each child gets to have.
Next, we cancel out 3 from 12 and 3 which becomes:
4:1
So each child gets 4 apples.
I hope this helps!
Between the numbers 15/20 and 35/40 , the greater number is
a. 15/20 b. 20/15 c. 35/40 d. 45/30
Answer:
35/40
Step-by-step explanation:
To compare, both denominator should be same.
[tex]\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}[/tex]
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀the numbers 15/20 and 35/40⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
⠀⠀⠀⠀
the greater number is[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
we have to find the greater number between 15/20 and 35/40
To do this,
we have to compare the denominator same.
[tex]\sf{\dfrac{35}{40}=\dfrac{35×1}{40×1}=\dfrac{35}{40} }[/tex] [tex]\sf{\dfrac{15}{20}=\dfrac{15×2}{20×2}=\dfrac{30}{40} }[/tex]According to the question,
we have to find the greatest one
[tex]\sf{\dfrac{35}{40} > \dfrac{30}{40} }[/tex] [tex]\sf{\dfrac{35}{40}>\dfrac{15}{20} }[/tex][tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
⠀⠀
[tex]\therefore\mathrm{\dfrac{35}{40} > \dfrac{15}{20} }[/tex]
⠀⠀
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
Which of the following CANNOT be assumed from this image?
Answer:
that he lines are not going strait
Step-by-step explanation:
Using the approximation of 5 miles = 8 km
How many km is 22.5 miles?
Answer:
22.5÷5= 4.5
4.5×8= 36
Step-by-step explanation:
22.5÷5=4.5
4.5×8=36
Answer:
36.21024 km are in 22.5 miles you can figure this out because you multiply the length value by 1.609
Write using exponents. Rewrite the expression below in the same sequence.
Answer:
[tex]10^2a^2b[/tex]
Step-by-step explanation:
Exponents are a way of shortening multiplication statements. The exponent represents how many times a term is being multiplied by itself. So, when two terms have the same base it can be written with exponents. For example. 10*10 can be written as [tex]10^2[/tex] because 10 is being multiplied 2 times. Therefore, if we do this with every term you get [tex]10^2a^2b[/tex].
What is the pH of a solution with a 1.50 × 10−9 M hydroxide ion concentration? (4 points) 0.176 5.18 8.82 9.20
Answer:
5.18
Step-by-step explanation:
This is a chemistry question. However the solution to the problem is given below:
We'll begin by calculating the pOH of the solution. This can be obtained as follow:
Concentration of Hydroxide ion [OH¯] = 1.5×10¯⁹ M
pOH =?
pOH = –Log [OH¯]
pOH = –Log 1.5×10¯⁹
pOH = 8.82
Finally, we shall determine the pH of the solution. This can be obtained as follow;
pOH = 8.82
pH =?
pH + pOH = 14
pH + 8.82 = 14
Collect like terms
pH = 14 – 8.82
pH = 5.18
Therefore, the pH of the solution is 5.18
Answer:
5.18
Step-by-step explanation:
I took the test and got it right!
Which number line represents the solution set for the inequality-1/2x>_4
Answer:
B
Step-by-step explanation:
Firstly, we solve for x
-x ≥ 2 * 4
-x ≥ 8
Multiply both sides by -1
x ≤ -8
So we look at the inequality represented by this;
We can see that the correct inequality is option B;
Solve the equation and enter the value of x below. x(8 + 9) = 34
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]x(8 + 9) = 34 \\ 8x + 9x = 34 \\ 17x = 34 \\ x = \frac{34}{17} \\ x = 2[/tex]
=> The answer is 2.
Which set of rational numbers is arranged from least to greatest? 1 over 5, −1.4, negative 1 over 2, 3
Answer:
[tex]-1.4, -\frac{1}{2}, \frac{1}{5}, 3[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{5}, -1.4, -\frac{1}{2}, 3[/tex]
Required
Order from least to greatest
We have:
[tex]\frac{1}{5}, -1.4, -\frac{1}{2}, 3[/tex]
Convert all fractions to decimal
[tex]0.2, -1.4, -0.5, 3[/tex]
Now order from least to greatest
[tex]-1.4, -0.5, 0.2, 3[/tex]
Replace fractions
[tex]-1.4, -\frac{1}{2}, \frac{1}{5}, 3[/tex]
Cans of soda at a local store a six-pack of soda costs $2.59 and indivdual cans cost $0.80. What is the maximum of cans of soda that can be purchased for $15
Answer: 30 cans (buy them by the six-pack; so you'd buy 5 six-packs)
==============================================================
Explanation:
Let's say you buy six-packs only. Divide the amount of money you have over the cost per six-pack.
15/(2.59) = 5.7915 which rounds down to 5.
If you buy six-packs only, then you can buy a max of 5 of them. That gets you 5*6 = 30 cans of soda.
-------------
Now let's say you buy individual cans only. We'll use the same idea mentioned earlier but this time divide over 0.80
15/(0.80) = 18.75 which rounds down to 18
We round down because we can't buy that 19th can of soda (note how 19*0.80 = 15.2 which is larger than 15).
So if you buy individual cans only, then you can get a max of 18 cans.
We see that it's better to go with the six-pack option (in the first section) since we can get 30 cans compared to 18 cans.
What values of x make this true?
(x^2–3x+2)/(x –1) = x – 2
Answer:
Any value of x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ )
Hope This Helps!!!
Jill has just moved to a new town and wants to share plates of baked goods with her neighbors. She has 20 cookies and 12 brownies to share, and wants to split them equally among the plates with no food left over. What is the greatest number of plates she can make to share?
Answer:
4
Step-by-step explanation:
The greatest number of plates Jill can split the 20 cookies and 12 brownies into can be determined by calculating the highest common factor and 20 and 12
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 20 = 1, 2,4, 5, 10, 20
In the history of Major League Baseball, the most valuable player award has been won by players from 7 different countries. which countries were they
Answer:
United States, Canada, Dominican Republic, Cuba, Venezuela, Japan, Panama
Step-by-step explanation:
Taking a look at a list of Major League Baseball most valuable players, the countries are:
United States(most players are US-born).
Canada(Joey Votto in 2010).
Dominican Republic(Albert Pujols and Vlad Guerrero Sr. for example).
Cuba(last Jose Abreu in 2020)
Venezuela(last Jose Altuve in 2017)
Japan(Ichiro in 2001).
Panama(Rod Carew)
find the next four terms of the sequence 5, 4, 9, 13, 22
Hello,
It is the Fibonacci 's suit.
[tex]u_1=5\\u_2=4\\u_3=u_1+u_2=5+4=9\\u_4=u_2+u_3=4+9=13\\u_5=u_3+u_4=9+13=22\\u_6=13+22=35\\u_7=22+35=57\\u_8=35+57=92\\u_9=57+92=149\\\\\\\boxed{u_{n+2}=u_{n}+u_{n+1}}\\[/tex]
Successive approximation
In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E Prove that. area of ∆BEF = area of ∆ CDE
Answer:
In parallelogram ABCD any point E is taken on the side BC . AE and DC when produced to meet at a point M . Prove that ar(ADM) = ar(ABMC) .2 points The compound interest on a certain sum for the first year for 4 % is Rs. 25. The compound interest for 2 years at the same rate on the same sum will be ...
Answer:
The interest for the two years is Rs 51.
Step-by-step explanation:
Rate, R = 4 %
Compound interest for 1 year = Rs 25
Let the sum is P.
For first year,
[tex]A = P \left ( 1+\frac{R}{100} \right )^1\\\\A = P(1+0.04)\\\\A - P = 0.04 P\\\\0.04 P = 25\\\\P= Rs625[/tex]
For 2 year
[tex]A = P \left ( 1+\frac{R}{100} \right )^2\\\\A = 625(1+0.04)^2\\\\A = 676\\[/tex]
Interest is
Interest = Rs 676 - Rs 625 = Rs 51
Find the product
14/4 • 33/10 =
Answer:
Step-by-step explanation:
[tex]\frac{14}{4}*\frac{33}{10}=\frac{7}{2}*\frac{33}{10}\\\\ =\frac{7*33}{2*10}\\\\=\frac{231}{20}\\\\=11\frac{11}{20}[/tex]
Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!
Answer:
I don't know the selection options, so please pick them from the explanation below.
Step-by-step explanation:
"like terms" are in this contexts in one group all expressions with x, and in another group all expressions without x.
so,
3x and -2x/9
3x - 2x/9 = 27x/9 - 2x/9 = 25x/9
-1/5 ... = 124/5
... = 125/5 = 25
so, we end up with
25x/9 = 25
x/9 = 1
x = 9
(06.01)Four graphs are shown below: Which graph represents a negative linear association between x and y?
Answer:
Step-by-step explanation:
A negative linear association between x and y means that as x increases, y decreases at the same rate, creating a line with a negative slope. This line will tend from upper left to lower right. 2 of those graphs tend from upper left to lower right, but only one of them is a linear representation. That is graph D.
Does anyone know what graph is correct?
First graph is the correct one.
when x= 1
y=f(x) = -√1 = -1
when x= 2
y= -√2
Which statement is not always true for a parallelogram?
A. Consecutive angles are supplementary.
B. Diagonals are congruent.
C. Opposite sides are congruent.
D. Opposite angles are congruent.
Explanation:
If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.
If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.
Choices A, C and D are true for any parallelogram (rectangle or not).