9514 1404 393
Answer:
[tex]\displaystyle\int^5_2 {(3x^3-7x)} \, dx[/tex]
Step-by-step explanation:
The interval of interest becomes the limits of integration. ∆x becomes dx, and the xi are replaced by the variable of integration, x.
plz help brainiest to whoever right
Answer:
They add up to equal 90 degrees.
a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg
Answer:
21
Step-by-step explanation:
Marissa earns $1,000 after taxes twice a month. Marissa's monthly bills are $1,200. Marissa deposits 40% of her remaining monthly income into a savings account and annually saves:
She saves $3,840 annually into savings account
1. Marissa earns $1,000 after taxes twice a month
This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes
2. Marissa's monthly bills are $1,200.
The monthly bills means expenses that Marissa incurred during the month.
3. Marissa deposits 40% of her remaining monthly income into a savings account
The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).
She deposits 40% of $800 into a savings account.
= 40% x $800
= $320
So, she is saving $320 out of the remaining $800 she has per month.
4. Marissa annually save?
She saves $3,840 annually ($320 x 12 months) into savings account.
However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.
See related question here https://brainly.com/question/18917500
Hi, Find k, if x+2k is a factor of p(x). p(x) =3x^2+6kx^2-14x-3
Pls answer this and u will be given the brainliest crown !!!
The first person gets it if the answer is correct
Answer:
Step-by-step explanation:
First off, your polynomial should be a third degree, not a second degree. That's probably why you didn't get someone to answer this for you already.
If x + 2k is a factor of that polynomial, then by the Zero Product Property
x + 2k = 0 and x = -2k. That means that, by the factor theorem, f(-2k) = 0 (which means that if you plug -2k in for all the x's you get a zero). Therefore,
[tex]3(-2k)^3+6k(-2k)^2-14(-2k)-3=0\\-24k+24k+28k-3=0\\28k-3=0\\28k=3\\k=\frac{3}{28}[/tex]
Answer:
the answer is in picture
the central bank of the United States it the
Answer:
The Federal Reserve System, the central bank of the United States, was founded by Congress to provide a safe, flexible and stable monetary and financial system.
Find the slope and the y-intercept of the line.
Answer:
slope=-1/5
y intercept=8
Hope this helps
Step-by-step explanation:
Answer:
Slope = -1/5
y-intercept: 8
Step-by-step explanation:
The line equation is y = mx + b, where m is the slope and b is the y-intercept.
We see that m is replaced by -1/5 and that b is replaced by 8.
Hope this helps!
Round off 731 and 164 to the nearest tens.find The difference of the rounded off numbers.round off the difference to the nearest hundred
Answer:
731 and 164 rounded off to the nearest tens is 730 and 160.
the difference is 570
570. rounded off to the nearest hundred is 600
factorize given
[tex]4sin ^{2} \alpha - 5 sin \alpha - 6[/tex]
Step-by-step explanation:
Hey there!
See the attached picture.
Hope it helps!
-22+(-16)=
Help me please
Answer:
[tex] - 22 + ( - 16) = - 22 - 16 = -3 8[/tex]
I hope I helped you^_^
Answer:
-38
Step-by-step explanation:
A good trick is to add it normally and just apply the sign
QOX
7. A total of 2000 people attended a benefit
concert was held to raise money for a
children foundation. Student ticket cost $2
and an adult ticket cost $3. If the organizer
raises a total of $5050, how many students
attended the concert?
Let x = number of students
Let 2000 - x = number of adults
Need explanation
Answer: Student ticket cost $2 and an adult ticket cost $3.
257 kids total attended
Step-by-step explanation:
the mean of seven numbers is 15. when three numbers are added, the mean of ten numbers becomes 12. find the mean of the three numbers.
Answer:
3 is the value I guess because with seven it becomes 15 where as with 10 it become 12 so there is 3 numbers gap
I don't know exactly so I just try
Answer:
13 is the answer
Step-by-step explanation:
y = - 18 when x = 3 , find x when y = 30
Answer:
x=-5
Step-by-step explanation:
First create a ratio -18/3 = 30/x
Cross multiply -18x=90
90/-18=-5
x=-5
Which of the following measures the variability of a data set?
A. median
B. MAD
C. mode
D. mean
Answer:
A
Step-by-step explanation:
The answer is the median because it shows how data are being scattered
Evaluate the logarithm at the given value of x without using a calculator.
Function Value
g(x) = log_b(x) x = √b
9514 1404 393
Answer:
g(x) = 1/2
Step-by-step explanation:
The applicable relations are ...
[tex]\log_b(x)=a\ \Longleftrightarrow\ b^a=x\\\\\log_b(x^a)=a\cdot\log_b(x)\\\\\log_b(b)=1[/tex]
__
We want to find logb(x) for x = b^(1/2). Using the first relation, we see ...
g(x) = logb(x)
b^(g(x)) = b^(1/2) . . . . . using g(x) = a
g(x) = 1/2 . . . . . equating exponents
__
Alternatively, using the last two relations, we have x = b^(1/2), so ...
g(b^(1/2)) = logb(b^(1/2)) = (1/2)logb(b) = (1/2)(1)
g(x) = 1/2
_____
Additional comment
I find it useful to remember that a logarithm is an exponent. The first applicable relation shown above is a statement to that effect.
If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .
Divide through everything by b :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}[/tex]
Since a/b < c/d, it follows that
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}[/tex]
Multiply through everything on the right side by b/d to get
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd[/tex]
and so (a + c)/(b + d) < c/d.
For the other side, you can do something similar and divide through everything by d :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}[/tex]
and a/b < c/d tells us that
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}[/tex]
Then
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab[/tex]
and so (a + c)/(b + d) > a/b.
Then together we get the desired inequality.
hellp mee plzz in these all with proper formula
Step-by-step explanation:
the answer is in picture
I struggle with these, please help.
Answer:
5/12
Step-by-step explanation:
tan=opposite/adjacent
tan30=5/12
Answer:
Tanθ = opposite/adjacent
[tex] \tan(30) = \frac{5}{12} [/tex]
I hope I helped you^_^
Answer the questions by drawing on the coordinate plane below. A) Draw the image of □PQR after a rotation of 180° about the origin. Label the image □ P'Q'R. B) Draw the image of □ PQR after a reflection across the x-axis. Label the image □P'Q'R. (Will Mark Brainliest. Show your work to get Brainliest.
Answer: See the attached image below
==========================================================
Explanation:
Part A
The rule for a 180 degree rotation about the origin is
[tex](x,y) \to (-x,-y)\\\\[/tex]
The x and y values flip in sign from positive to negative, or vice versa.
A point like P(1,-1) will move to P ' (-1, 1) as shown in the first diagram. Points Q and R follow the same idea.
Side note: It doesn't matter if we rotate clockwise or counterclockwise. We'll end up at the same result. This only works for 180 degree rotations.
----------------------------
Part B
When we apply an x-axis reflection, we apply this rule
[tex](x,y) \to (x,-y)\\\\[/tex]
This rule is nearly the same as the previous rule, but this time the x coordinate stays the same.
For example, the point P(1,-1) moves to P ' (1, 1)
The same applies to points Q and R as shown in the second diagram.
A 20 in board is to be cut into 3 pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece , find the length of all three pieces
Answer:
first piece: 2in
second piece: 8in
third piece: 10in
Step-by-step explanation:
We have
first piece + second piece + third piece = 20
second piece = 4 * first piece = 4x
third piece = 5 * first piece = 5x
x + second piece + third piece = 20
plug 4x in for the second piece, 5x in for the third
x + 4x + 5x = 20
combine like terms
10x = 20
divide both sides by 10 to isolate x
x = 2
second piece = 4x = 8
third piece = 5x = 10
Fill in the blank
А______
is a general mapping or pairing of input values with output value
Your answer:
expression
equation
relation
inequality
derivative
Write the equation of the function graphed below:
x) =x√3
x
3
– 4
f(x) =x√3
x
3
+ 4
f(x) = 2x√3
x
3
+ 4
f(x) = 2x√3
x
3
–4
Answer:
(d) f(x) = 2∛x -4
Step-by-step explanation:
The graph is of a cube root function that has been vertically scaled by a factor of 2 and translated down 4 units. The equation of the function can be written ...
f(x) = 2∛x -4
Answer:
f(x) = 2x√3
x
3
–4
Step-by-step explanation:
Determine which of the following mappings are functions. If the relation is not a function, indicate why it is not.
Step-by-step explanation:
1. the first mapping is a function
2. the second mapping is not a function, because: B has 2 relations, C & E have no relations.
3. the third mapping is a function
4. the fourth mapping is not a function, because B has no relation.
Write down what you know from the markings
Answer:
Same makings on the lines and angles indicate they are congruent (have same measure).
As per drawing:
MI = MY as both line segments have same single marking.IC = KC as both line segments have same double marking.m∠M = m∠I as both angles have same angle marking.The quadratic equation y = - 16t^2+ 56t+ 2 represents the height of a projectile,
y, in feet, at a particular time, t, in seconds.
For what interval or intervals of time will the projectile be above 26 feet?
Answer:
0.5 < x < 3
or (0.5, 3)
Step-by-step explanation:
-16t² + 56t + 2 = 26
Subtract both sides by 26
-16t² + 56t + 2 = 26
-26 -26
-16t² + 56t - 24 = 0
Divide both sides by -8 to simplify
(-16t² + 56t - 24)/8 = 0/8
2t² - 7t + 3 = 0
Factor
(x - 3)(2x - 1) = 0
Do this to find the x's
x - 3 = 0
+ 3 +3
x = 3
2x - 1 = 0
+ 1 + 1
2x = 1
2x/2 = 1/2
x = 0.5
0.5 < x < 3
This means the intervals will have to be between 0.5 and 3 seconds
If there are 6 people,and each person has 3 coins,There are times as many coins as people
Simplify the following expression and show your work in details please .
Answer:
Assuming you just want it simplifies, the answer would be m+5
Step-by-step explanation:
4m+5-3m -------> combining like factors
m+5
How do you calculate frequency? If there are 138 bright white phones out of 1301 total phones, how do I calculate the frequency?
300000000000000000000000
Marcus takes 5 steps to move from 8 inches to 113 inches.
Write an equation for this situation then solve for the length of one step.
Hint: Let x = length of one step
The length of one step is 21 inches
Let x = length of one step
Since Marcus takes 5 steps to move from 8 inches to 113 inches, then the length of one step will be calculated thus:
x = (113 inches - 8 inches) / Number of steps
x = (113 inches - 8 inches) / 5
x = 105 inches/5
x= 21 inches
In conclusion, the length of one step is 21 inches
Read related link on:
https://brainly.com/question/16450098
3729*846+289*3729-3729*135 can be solved using which property
Answer:
BODMAS
the answer is 3,729,000
Have a good day !
How do i express x^2-3x into the form of (x-m)^2+n.
I will give brainliest to first correct answer
Well this could be incredibly easy, by just saying [tex]m=0[/tex] and [tex]n=-3x[/tex].
This is a completely valid case but nevertheless seems too easy. The requirements are probably that n and m are integers or natural numbers but since that was not specified such probable requirement ought not to be followed.
Hope this helps :)