Answer:
B.
Step-by-step explanation:
We are given:
\(\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx\)
And we want to select its equivalent form.
Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.
We can simply rewrite and then distribute. First, by rewriting:
\(\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx\)
Distribute. Recall exponent properties;
\(\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx\)
Simplify:
\(\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx\)
This can then be separated (since its addition/subtraction) and integrated individually.
Hence, our answer is B.
The ratio of a right angle to the total degrees in a circle is?
ANSWER:
1:4
STEP-BY-STEP EXPLANATION:
To calculate the ratio, we must calculate the quotient between the degrees of a circle and the degrees of a right angle, like this:
\(r=\frac{360}{90}=4\)Which means that the ratio is 1:4
if the part is 450 and the wholes 600 what is the percent
Answer:
If the part is 450 and the whole number is 600 the percent would be 75%
Step-by-step explanation:
In •A find CE if BA=7.35.
The value of CE is 14.7 units.
What if the diameter of a circle?The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.
So that in the given circle with center A, we have;
CE = BD (diameter of a given circle)
BA = EA = CA = DA (radius of a given circle)
CE is the diameter of the circle, and BA is the radius, so that;
CE = 2*BA
= 2*7.35
= 14.7
CE = 14.7
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The total number of people that went to the out of town tournament was 42. How many players in chaperones went on the trip?
Answer:7 jogadore participaram do jogo
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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The Pelicans won 16 games last year. This year the Pelicans won 20 games. What is the percent increase in the number of games the Pelicans won compared to last year?
Answer:
I believe the answer to your question is 25%!
Step-by-step explanation:
If this is wrong, tell me so i can improve my skills.
Have a great day
the graph of a certain quadratic function has no x-intercepts. Which of the following are possible values or the disriminant?
The possible values for the discriminant include the following:
A. -1
D. -18
What is the x-intercept?In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.
Discriminant, D = b² - 4ac
In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.
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Complete Question:
The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.
A. -1
B. 3
C. 0
D. -18
Graph the system of inequalities. Then use your graph to identify the point that
represents a solution to the system.
x + y2 3
x-3y< 2
(6, 1)
(8,-1)
(6,2)
O (6,-2)
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
Solving the systems of inequalities graphicallyFrom the question, we have the following parameters that can be used in our computation:
x + y > 3
x - 3y < 2
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
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Destiny has an empty piggy bank. She puts in 5 dimes,1 quarter, and 8 nickels into the piggy bank. The next day, Destiny takes out 1 quarter 3 dimes, and 5 nickels. How much money does Destiny have in her piggy bank?
Answer:
0.35
Step-by-step explanation:
5+1+8 = 1.15
1+3+5= .80
1.15-.80
=
0.35
Answer:
2 dimes and 3 nickels = $0.35 = 35 cents
Step-by-step explanation:
Coins in Destiny's Piggy Bank
5 dimes1 quarter8 nickelsThe next day, Destiny takes out 1 quarter, 3 dimes, and 5 nickels:
⇒ 5 dimes - 3 dimes = 2 dimes
⇒ 1 quarter - 1 quarter = 0 quarters
⇒ 8 nickels - 5 nickels = 3 nickels
Therefore, Destiny has in her Piggy Bank:
2 dimes3 nickelsGiven:
1 dime = 10 cents = $0.101 nickel = 5 cents = $0.05Therefore, the amount of money Destiny has in her piggy bank is:
⇒ 2 × $0.10 + 3 × $0.05 = $0.35
PLEASE HELP!!! due today!!
Answer:
The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Step-by-step explanation:
We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:
P = 7200/D
To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
So the distance between supports needed to carry 1600 lb is 4.5 feet.
To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
How many schools have fewer than 50 classrooms
Answer:
7 schools have fewer than 50 classrooms.
The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
If the length of the legs of a right triangle are 13 and 13,what is the length of the hypotenuse? Round your answer to the nearest tenth,if necessary.
Answer:
a² + b² = c²
13² + 13² = c²
169 + 169 = c²
338 = c²
c = √338 or 18.385 or 13√2
Answer:
18.4
Step-by-step explanation:
13² + 13² = x²
169 + 169 = x²
338 = x²
x = 18.38477....
1.What is the equation of a circle with center (-2, 2) and radius 3?
Answer:
(x + 2)² + (y - 2)² = 3²
Step-by-step explanation:
Equation of a circle is (x - a)² + (y - b)² = r²,
where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.
So, we have (x - -2)² + (y - 2)² = 3²
subtract a minus means we add.
(x + 2)² + (y - 2)² = 3²
Erika's toy is valued at €450. Its value increased by 10% then decreases by 10% the year after. What is the value of Erika's toy after these two changes?
Answer:
€445.50-------------------------
Initial value of the toy is €450.
After 10% increase the value is:
€450 + 10% = €450*1.1 = €495After further 10% decrease the value becomes:
€495 - 10% = €495*0.9 = €445.50The final value of the toy is €445.50.
Can someone help me with this and try to show the steps
Answer:
x1=-8;x2=8Step-by-step explanation:
[x]=8
x=8
x=-8
Select the correct answer.
This is a regular pentagon. The apothem is shown. What is perimeter of the pentagon?
5 cm
OA
18.2 cm
B.
30.7 cm
C.
36.3 cm
D.
43.8 cm
The perimeter of the pentagon with apothem of 5cm is 28.87cm
How to calculate the perimeter of a pentagonThe sum of all the external sides of the pentagon is its perimeter.
First we need to calculate the half of one of its sides using the SOH CAH TOA
tan 30 = x/5
x = 5 tan 30
x = 2.89
One of the sides = 2(2.89) = 5.77 cm
Perimeter of th pentagon = 5(5.77) = 28.87
Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm
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what is the upper and lower quartile of this set of data?
15, 19, 10, 15, 31, 38, 41
-Lower Quartile: 19
Upper Quartile: 25
-Lower Quartile:25
Upper Quartile:38
-Lower Quartile:19
Upper Quartile: 38
-Lower Quartile:15
Upper Quartile:41
Answer:
lower quartile: 19
upper quartile: 38
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the measure of 46.
62°
16
46 = [?]
Answer:
118
Step-by-step explanation:
62+ m<6=180
180-62=118
m<6=118
?=118°
Answer:
<6+62=180 co interior angle
<6=180-62=118°
What is -9 as a fraction?
Answer:
\(-\frac{9}{1}\)
Step-by-step explanation:
Its just the same way as making positive 9
a fraction, but just add the negative sign.
Hope this helps :))
The rule (x,y)→(−x,y) maps △ABCto △A′B′C′. Which statement correctly describes the relationship between △ABCand △A′B′C′?
Answer:
reflection over Y axis
Step-by-step explanation:
Answer:
The triangles are congruent because △A′B′C′ is a reflection of △ABC , and a reflection is a rigid motion.
Step-by-step explanation:
NEED HELP ASAP: Which of the following points is a possible solution to the system
Y < 3x - 1
Y > x - 1
(0, 1)
(-2, 0)
(0, -1)
None of these choices are correct
The points with possible solution to the system is (0, -1)
From the points;
(0, -1) represents (x, y)
x = 0
y= -1
y ⩽ 3x − 1
-1 ⩽ 3(0) - 1
-1 ⩽ -1
y ⩾ x− 1
-1 ⩾ 0 - 1
-1 ⩾ -1
Find f(3) and interpret its meaning.
Answer:
f(3) = 425
f(3) is the elevation of a mountain climber after 3 hours of climbing.
Step-by-step explanation:
So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.
To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:
f(3) = 125(3) + 50 = 425
So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.
I hope you find my answer and explanation to be helpful. Happy studying.
We're planning to enclose a rectangular field with fencing, and we know that for whatever reason we want the field to be 50 feet square. We also know that the field's width should be 23 feet longer than the field's length. What are the field's dimensions?
Answer:
\(? \times \frac{?}{?} \)
d
Answer:
2 by 25 feet.
Step-by-step explanation:
Let L and W be the length and the widht of the field
we want W = L + 23 and W x L = 50
So
(L + 23) x L = 50
\(L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2\)
Since L must be positive then L =2 and W = 2 + 23 = 25.
Write how many tens. Then add.
60+ 10 =
Enter the correct numbers in the boxes.
Tens + tens = tens
Answer:
60 contain 6 tens
then
60+10
contain
7 tens
the
correct answer
is
7 tens
Answer:
6 tens + 1 ten = 7 tens
Step-by-step explanation:
6 tens = 60
1 ten = 10
7 tens = 70
HELP ASAP PLSS!!
I think it’s b I’m not so sure
Answer:
Step-by-step explanation: I think it is 'b' too (sorry if wrong)
f(x)=x^2-5x-36 and g(x)=x−9, find (f-g)(x) and express the result as a polynomial in simplest form.
The result is a polynomial in simplest form \(x^{2} -6x -27\)
What is a polynomial?Polynomials are algebraic formulas with variables and coefficients. Variables are sometimes known as indeterminates.
To calculate (f - g)(x), subtract g(x) from f(x) as follows:
(f - g)(x) = f(x) - g(x)
When we substitute the given functions, we get:
(f - g)(x) =\((x^2 - 5x - 36)\) - (x - 9)
When we expand and simplify, we get:
(f - g)(x) = \(x^{2} - 5x - 36 - x + 9\)
(f - g)(x) = \(x^{2}\) - 6x - 27
As a result, the polynomial is (f - g)(x):
(f - g)(x) = \(x^{2}\) - 6x - 27
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State the order and type of each transformation of the graph of the function f(X)=4(X+9)^2 as compared to the graph of the base function
Using translation concepts, the function f(x) was evaluated by comparing to the graph of a base function g(x) = x².
stretched vertically by a factor of fourShifted 9 units to the left.What exactly is a translation?In mathematics, a translation is the movement of a shape to the left or right and/or down or up. The translated shapes appear to be the same size as that of the original shape, and thus the shapes are congruent. They were simply shifted in one or even more directions. There's no change in shape because it is simply moved from one location to another.A translation is signified by a change with in function graph, based on operations in its definition including such multiplication or sum/subtraction.
The base function g(x) = x² in this problem was.Multiplied by 4, such that, stretched vertically by a factor of four.Shifted 9 units to the left.Thus, the resultant function is obtained as (X)=4(X+9)²
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Trish conducts an analysis which shows that the level of alcohol consumption affects reaction times more when a person is sleep-deprived than when a person is well-rested. This is an example of ______.
a. interaction
b. confounding
c. bias
d. main effect
Answer:
a. interaction
Step-by-step explanation:
In statistics, interaction occurs when the effect of one variable depends on the value of another variable.
In this case, Trish's analysis shows that the effect of alcohol consumption in a persons reaction time also depends on that person's quality of sleep, highlighting a clear case of interaction.