Answer:
[tex]\sqrt{h^2 + k^2}[/tex]Step-by-step explanation:
Point O has coordinates (0, 0) B has coordinates (h, k)C has coordinates (h, 0)Use the distance formula to find the length of OB:
OB = [tex]\sqrt{(h-0)^2 + (k-0)^2}[/tex] = [tex]\sqrt{h^2 + k^2}[/tex]Who was the first prince of Russia to be crowned as a czar
What integer does Point B represent?
B
D
0
Point B
Answer:
-4
Step-by-step explanation:
uts -4 I mean I don't have any explanation but yea. Tell me if it's wrong
Pls help meeeeeee ahhhhhhh!
Answer: 8x+7
Step-by-step explanation:
The first thing you need to do is multiply (x+1) by 7 (this is the part where you use the distributive property). x times 7 is 7x and 1 times 7 is 7. So now you should have x+7x+7. Now just combine like terms. You can add x and 7x but you can't add the one because there is no variable (x) in it. Your final answer should be 8x+7. Hope this helps!
Find the lcd between 1/6 and 2/9. Show your work.
2x^3+7x^2-4x+7/x^2+2x+2
Answer:
Step-by-step explanation:
In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.
Answer:
Step-by-step explanation:
I = 180-152-7 = 21°
Law of Sines:
g = h·sinG/sinH ≅ 38.5 cm
i = h·sinI/sinH = 29.4 cm
Use Heron's Formula to calculate the area from the lengths of the sides.
semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm
area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²
Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times the inverse tangent of the quantity x squared divided by 4, plus C one fourth times the natural log of x to the 4th power plus 16, plus C one fourth times the inverse tangent of the quantity x squared divided by 4, plus C the product of negative one fourth and 1 over the quantity squared of x squared plus 16, plus C
Answer:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]
Required
Solve
Let
[tex]u = \frac{x^2}{4}[/tex]
Differentiate
[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]
[tex]du = 2 * \frac{x}{4}\ dx[/tex]
[tex]du = \frac{x}{2}\ dx[/tex]
Make dx the subject
[tex]dx = \frac{2}{x}\ du[/tex]
The given integral becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2= 4u[/tex]
Square both sides
[tex]x^4= (4u)^2[/tex]
[tex]x^4= 16u^2[/tex]
Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]
Simplify
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
In standard integration
[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]
So, the expression becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
A fitness club charges a onetime $75 initiation fee plus $30 each month for a member to maintain her membership. Which equation below models the total cost, c, the club charges as a function of the number of months, m, that the individual has maintained her membership?
1) c = 75m + 30
2) c = 1/30m + 75
3) c = 30m + 75
4) c = 900 + 30m
Answer:
c = 30m + 75
Step-by-step explanation:
Because the 75 dollars is only one time you add that to the total. Because it is 30 dollars PER MONTH and m is the number of months you would multiply those two in order to know how much you would be paying!
Hope this helps!
pls help i cant find the answer at all
If you overestimate the standard deviation of the population, which type of error are you potentially increasing
Answer:
Standard Error
Step-by-step explanation:
The standard deviation is directly proportional to the sample standard deviation or standard error.
According to the relation :
Standard Error = standard deviation / sqrt(sample size)
Going by these relation an increase in the value of standard deviation will favor or increase the standard error withba constant Number of samples.
Therefore, overestimating the standard deviation will. Cause an increase in the standard error, while underestimating the standard deviation will also lower the standard error.
. In a 30°-60°-90° triangle, the length of the hypotenuse is 12 inches. What is the length, in inches, of the side opposite the 60° angle?
Combine like terms 3x^2 + 4x^3 + 6x^2
Answer:
3x^2+6x^2= 9x^2
9x^2+4x^2
Step-by-step explanation:
What is the answer
5+7+9+8=
Answer:
29
Step-by-step explanation:
Complete the tables of values?
Plz help I’m so stuck on this
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81
A . it is increasing and linear
B. it is decreasing and linear
C. it is increasing and non linear
D. It is decreasing and non linear
Answer:
The answer is B.
Step-by-step explanation:
From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.
write the equation of the line in fully simplified slope-intercept form. (6, 10) (4,5) (-2,-10)
Answer: the equation will be y = 5/2x -5
Step-by-step explanation:
First find the slope of the line by finding the change in the y coordinates and diving it by the change in the x coordinates.
(6,10)
(4,5)
5 - 10 = -5
4 - 6 = -2
Slope: 5/2
(4,5)
(-2,-10)
-10 - 5 = - 15
-2-4= - 6
-15/-6 = 5/2
Now we know the slope is 2, so use the formula y=mx + b to solve for the y intercept which is b by using one of the given points.
y = mx + b
5 = 5/2(4) + b
5 = 10 + b
b = -5
help, i need you to find the area
Answer:
98
Step-by-step explanation:
Formula Base * Height
7*14=98
Answer:
77 inches
Step-by-step explanation:
The formula for area of a trapezoid is [tex]\frac{b_{1} + b_{2}}{2} h[/tex]. In this case, first add base 1 (8) + base 2 (14) to get 22. Now divide 22/2 to get 11. Now multiply 11 by the height (7), to get 77 in.
Hope it helps!
At the end of August, a store is
trying to get rid of their swimsuits to
make room for fall clothes The
price of a swimsuit is reduced $5
each week for 6 weeks By how
much did the price of the swimsuit
change during this time?
Answer:
Week one: 5$ off
Week two: 10$ off
Week three: 15$ off
Week four: 20$ off
Week five: 25$ off
Week six: 30$ off
30-5=25 There is a 25 dollar difference from week one and week six
Step-by-step explanation:
What is the value of X.
Answer:
x=5.25 or x=5 1/4
Step-by-step explanation:
These two angles are the same because they are vertical angles. We can write an equation to express this.
x+16=4x-5
Then solve.
x+16=4x-5
-x -x
16=4x-5
+5 +5
4x=21
x=5.25 or 5 1/4
The slope through (3, 5) and (1. y) is 3. Find y.
Really need this answer!
Step-by-step explanation:
y2 - y1 / x2 - x1
2 = 5 - y / (3 - 1)
4 = 5 - y
y = 1
So the line with slope 2 passes through the points (1,1) and (3,5).
Hope this helps!
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
Round your answer to the nearest hundredth (second) decimal place.
The tip was $7.77
I hope this helped! please mark brainliest and vote 5 stars >:)
Answer:about 8 dollars
Step-by-step explanation:
Words
a. Divide the difference
between 1,200 and 700 by 5
Answer:
100
Step-by-step explanation:
1,200 - 700 = 500
500/5 = 100
Btw, uan got to, but I would really appreciate it if u marked me brainliest cuz I need one more nd I tried
which of the following graphs describes the solution set of -4/5x-13/5>=-9?
Answer:
Hey Bud
your answer is x ≤ 8
Step-by-step explanation:
should be closed dot pointing to the negative numbers
Let's solve your inequality step-by-step
Step 1: Simplify both sides of the inequality.
Step 2: Add 13/5 to both sides.
Step 3: Multiply both sides by 5/(-4).
Listen in equation what is 596×9 subtract 64÷5 is this hard 13 points
Answer:
5351.2
Step-by-step explanation:
596 times 9 = 5364
64 divided by 5 = 12.8
5364 minus 12.8 = 5351.2
solve for y
y - 2 = 2x
Answer:
y = 2x + 2
Step-by-step explanation:
add two to both sides so that (-)2 cancels out on the side by the y to get it by itself move +2 to the side with the x giving you y = 2x + 2
Is height always a statistical subject
Answer:
It Is!
Step-by-step explanation:
"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."
rewrite 4.4.6.4.4.6 using exponents
Answer:
[tex]4^{4}[/tex]×[tex]6^{2}[/tex]
Step-by-step explanation:
There is 2 of the same number 6 and there is 4 of the number 4
I hope this helps
50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP!
LOOK AT PICTURE
Answer:
Diagram 2, 12 foul balls
Step-by-step explanation:
12/3=4
12-4=8
can you please help me with this?
A) 29
B) 15
C) 45
D) 8
Answer:
A) 29
Step-by-step explanation:
Step 1: Find angle G
Since Sin(θ) = Opposite over Hypotenuse:
[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ
θ = 33.896°
Now repeat for just the smaller triangle:
[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]
given f(x)=3x-5, find f(x+2)
Answer:
Step-by-step explanation:
Whenever a problem asks for f(x+n) or really anything, you just plug it into the OG function
f(x+2) = 3(x+2) - 5
= 3x + 6 - 5
=3x + 1