Answer:
a) 23 + x = 140
Step-by-step explanation:
140 - 23 = 117
the angle x = 117°
Given the equation of a circle below, determine the center and radius of the circle.
(x+5)^2+y^2=36
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Answer:
center: (-5, 0)radius: 6Step-by-step explanation:
Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.
(x -h)^2 +(y -k)^2 = r^2
You see that ...
-h = +5 ⇒ h = -5
-k = 0 ⇒ k = 0
r^2 = 36 ⇒ r = √36 = 6
The center is (h, k) = (-5, 0), and the radius is r = 6.
Graph the inequality. y ≥ |x + 5| - 3
Answer:
1
Step-by-step explanation:
Problem is in picture attached. What numbers do the ice cream scoops and cones represent?
Answer:
ice cream scoops (white scoop)= 2
ice cream cones = 3
ice cream scoops (pink scoops) = 1
Step-by-step explanation:
3 x 3 x 3 = 27
3(cone) + 2(white scoop) + 3(cone) + 2(white scoop) = 10
and so on
If paper products accounted for 33% of the total MSW recycled in 2010 and about 7m3 of landfill space is saved for each metric ton of paper products recycled, calculate how much landfill space was saved by recycling paper products in 2010 in the United States.
Answer:
Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.
Step-by-step explanation:
Step 1: Determining the amount in metric tons of paper products recycled
In the year 2010, a total of 76 million metric tons of MSW was recycled.
Recycling of paper products accounted for 33% of the total MSW recycled in 2010.
The amount of paper products recycled in millions of metric ton = 0.33 × 76 million = 25.08 million metric tons of paper products.
Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products
7m³ of landfill space is saved for each metric ton of paper products.
Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled × 7 m³/metric ton
Volume of landfill space saved = 25.08 million metric tons × 7 m³/metric ton
Volume of landfill space saved = 175.56 million m³ of land space
Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:
0.33t = 7
t = 7/0.33
t = 21
21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
More can be learned about proportions at https://brainly.com/question/24372153
A tank contains 7070 kg of salt and 20002000 L of water. Pure water enters a tank at the rate 88 L/min. The solution is mixed and drains from the tank at the rate 44 L/min. (a) What is the amount of salt in the tank initially
I'm assuming all the numbers here mistakenly got copied twice.
Let A(t) denote the amount (in kg) of salt in the tank at time t. The solution starts with 70 kg of salt, so (a) A(0) = 70.
I also assume there is more to the question, so I'll just go ahead and build the differential equation to model this situation, and solve it.
Pure water is flowing into the tank, so no salt is being introduced. The concentration of salt at time t is A(t)/2000 kg/L, and solution is drained from the tank at a rate of 4 L/min, which means salt is being removed at a rate of
(4 L/min) (A(t)/2000 kg/L) = A(t)/500 kg/min = 0.002 A(t) kg/min
Thus the amount of salt (ignoring units now) in the tank changes according to the DE,
dA(t)/dt = -0.002 A(t)
which is easy to solve because it's linear with constant coefficients.
Without going into too much detail:
dA(t)/dt + 0.002 A(t) = 0
exp(0.002t ) dA(t)/dt + 0.002 exp(0.002t ) A(t) = 0
d/dt [exp(0.002t ) A(t)] = 0
exp(0.002t ) A(t) = C
A(t) = C exp(-0.002t )
Given A(0) = 70, solve for C :
70 = C exp(0) = C
Hence
A(t) = 70 exp(-0.002t )
Please help me please help me if you don't know gently move your hand
i will make you brainliest with 15 points
Answer:
7cm
14cm
dπ or 2r π
14π or 2(7π)
Step-by-step explanation:
Radius = 7cm
Diameter = 7 x 2 = 14cm
Circumference = 2 x π x r = dπ
Circumference Value = 2 x π x 7 = 14π
Answer:
Radius: 7 cm
Diameter: 14 cm
Circumference Formula: c = dπ or c = 2rπ
Circumference Value: c = 14π or c = 2(7π)
Step-by-step explanation:
We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D
Find the area of 18 ft in height and 9 1/4 in base
Answer:
Triangle+ 83.25
Square/ Rectangle = 166.5
Step-by-step explanation:
I need the shape specified
Jenny has several wood boards which are each 2 1/2 feet long. She uses 1 3/4 wood boards for a school project. Which shows a way to find how many feet of wood Jenny used for her project? no links pleaseeee
Answer:
Step-by-step explanation:
Select the symbol = (equal to) or (not equal to) to make the expression true.
{1, 2, 3, 4, 5) ? (whole numbers between 1 and 5 inclusive)
Answer:
not equal to
Step-by-step explanation:
the ")" stands for excluding that last element.
Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)
The correct answer is vertex of the graph D. (0, 2).
To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).
Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.
Learn more about function here:
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Rewrite each side with a common base and solve. Round your answer to two decimal places.
3^4x=1/27
Use Newton''s method to find the second and third approximation of a root of x^3 + x + 3= 0 starting with x1 = -1 as the initial approximation.
The second approximation is x2= ?
The third approximation is x3= ?
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Answer:
see attachment
Step-by-step explanation:
The iterator for Newton's method gives the next approximation (x') as ...
x' = x -g(x)/g'(x) . . . . . where g'(x) is the derivative of g(x)
We have defined g(x) = x^3+x+3, the function we want the zero of. We have defined the iteration function to be f(x).
__
Additional comment
Modern graphing calculators not only make the iteration trivially simple, they also give a first approximation good to 2 or 3 decimal places in many cases.
the lengths of two sides of a triangle are 2x-5 and x+3. If the perimeter of the triangle is 4x-1, what is the length of the third side in terms of x?
Answer:
[tex]x-9[/tex]
Step-by-step explanation:
[tex]side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9[/tex]
The length of the third side in terms of x is x+1.
What is the perimeter of the triangle?The perimeter of a triangle is the sum of all its three sides.
We can work out the perimeter using the following formula:
The perimeter of a triangle is = sum of all three sides.
The length of the third side in terms of x is given by;
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c[/tex]
Substitute all the values in the formula
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1[/tex]
Hence, the length of the third side in terms of x is x+1.
Learn more about triangles here;
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Jen factored x² - 4x - 21 as (x - 3)(x + 7) What did she do wrong?
Answer:
She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )
Step-by-step explanation:
( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21
( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21
When you multiply a number by 6 and subtract 5m the product ,you get 7. find the number.
with solution
Answer:
x = 2
Step-by-step explanation:
Let the number be x
When we multiply a number by 6 and subtract it by 5, we would get 7.
On multiplication of number x with 6 it will be 6x.12
On subtraction of 5 it will be 6x - 5
6x - 5 = 7
6x = 7 + 5
6x = 12
x = 12/6
x = 2
Answer:
The number is 2
Step-by-step explanation:
Let the number be n
Multiply the number by 6 = 6n
Subtract 5 from the number , 6n - 5
And we get 7
So , the expression : 6n - 5 = 7
6n = 7 + 5
6n = 12
n = 2
Marinas bill for dinner totals $38.65, including tax. She leaves a 20% tip. How much is Marinas total? (pls hurry i’m in summer school rn and i need the answer)
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Answer:
$46.38
Step-by-step explanation:
When a 20% tip is added to the bill, the result is the bill being multiplied by a factor of (1 + 20%) = 1.20.
1.20 × 38.65 = 46.38
Marina's total with the tip is $46.38.
Let U = {1, 2, 3, 4, 5, 6, 7), A = {2, 4, 6, 7), and B = {1, 4, 7}. Find the set (A U B)'.
Step-by-step explanation:
(A U B) = {1,2, 4, 6, 7}
(A U B)'= U- (A U B) = { 3,5}<------- Answer
If you do this for me I will mark you as brainless
Answer:
π and f. 125
Step-by-step explanation:
for the circle its π or 3.1415926535....
for the triangle its f. 125
[Pre-Calc] Please Help! I don’t know where to start. How do I do this?
Answer:
See Below.
Step-by-step explanation:
Problem A)
We have:
[tex]\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta[/tex]
When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.
So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:
[tex]\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta[/tex]
Cancel:
[tex]\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta[/tex]
Let 1/cosθ = secθ:
[tex]\sec^2\theta -1=\tan^2\theta[/tex]
From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:
[tex]\tan^2\theta =\tan^2\theta[/tex]
Problem B)
We have:
[tex]\sin^3x=\sin x-\sin x \cos^2 x[/tex]
Factor out a sine:
[tex]\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x[/tex]
From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:
[tex]\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x[/tex]
Distribute:
[tex]\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x[/tex]
Problem C)
We have:
[tex]\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x[/tex]
Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:
[tex]\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x[/tex]
From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:
[tex]\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x[/tex]
Cancel:
[tex]\displaystyle \frac{\cos x}{\sin x}=\cot x[/tex]
By definition:
[tex]\cot x = \cot x[/tex]
Solve the equation by factoring. 3x^2-5x-12=0
Answer:
x = 3
[tex]x=-1\frac{1}{3}[/tex] or [tex]x=-\frac{4}{3}[/tex]
Step-by-step explanation:
3x² - 5x - 12 = 0
Method 1: Factoring
3x² + 4x - 9x - 12 = 0
(3x² + 4x) + (- 9x - 12) = 0
x(3x + 4) - 3(3x + 4) = 0
(x - 3)(3x + 4) = 0
Two separate equations
x - 3 = 0
3x + 4 = 0
x - 3 = 0
x - 3 + 3 = 0 + 3
3x + 4 = 0
3x + 4 - 4 = 0 - 4
3x = - 4
[tex]\frac{3x}{3} :-\frac{4}{3}[/tex]
[tex]x=-1\frac{1}{3}[/tex]
Method 2: Quadratic Formula
Ignore the A before the ±, it wouldn't let me type it correctly.
[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]
3x² - 5x - 12 = 0
a = 3
b = - 5
c = - 12
[tex]x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±\sqrt{169} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±13}{2(3)}[/tex]
[tex]x=\frac{5±13}{6}[/tex]
Two separate equations
One must have a + (positive) and the other will have a - (negative).
[tex]x=\frac{5+13}{6}[/tex]
[tex]x=\frac{18}{6}[/tex]
x = 18 ÷ 6
x = 3
[tex]x=\frac{5-13}{6}[/tex]
[tex]x=\frac{-8}{6}[/tex]
x = - 8 ÷ 6
[tex]x=-1\frac{1}{3}[/tex]
Put the following equation of a line into slope-intercept
form, simplifying all fractions.
x + 4y = 24
ASAP!!!!
Answer:
y = -1/4x + 6
Step-by-step explanation:
Answer:
y = -1/4x + 6
Step-by-step explanation:
Get y alone:
x + 4y = 24
-x = -x
4y = -x + 24
Divide:
4y = -x + 24
4 = 4
Distribute division:
y = -1/4x + 24/4
Reduce fractions:
y = -1/4x + 6
Steps for: 6-2x+5+4x
Answer:
6-2x+5+4x
2x+11
hope this helps
have a good day :)
Step-by-step explanation:
The only step you need to do is add like terms
help pls ill give u brainlest
Step-by-step explanation:
πr²= Area of a circle
In this case:
π16²
16²= 256265×π= 804.2 (1dp)So therefore, the answer is A
Hope this helped!
hey this is my first post, does anyone know how to do this and find V?
Answer:
16
Step-by-step explanation:
8/1/2
8 divided by 1/2
8 x 2/1 = 16
Answer:
Step-by-step explanation:
P=8/V
1/2=8/V
do cross multiplication
2*8=V*1
16=V
How many feet are in 24 yards? 27 feet 72 feet 240 feet 288 feet
Answer:
72
Step-by-step explanation:
Suppose the probability of failure in a binomial experiment is 0.25. What is
the probability of success?
A. 0.65
B. 0.85
C. 0.75
D. 0.35
Answer:
C: .75
Step-by-step explanation:
I really just subtracted
6. The quotient of 5 and a number y, minus 10.
Answer:
5/y - 10
Step-by-step explanation:
I doubt the completeness of your question, however
the answer is
5/y - 10
HELP PLZZZ !!
3. Solve the equation by factoring.
C^2 - 4c = 0
Answer:
0,4
Step-by-step explanation:
See image below:)
In ΔXYZ, ∠Y is a right angle and sin X = 12/25 Find sec X, tan X, and cos Z in fraction and in decimal form. Round to the nearest hundredth, if necessary.
Answer:
In ΔXYZ
∠Y is a right angle ∠X and ∠Z are complementary anglessin X = 12/25-------------
sec X = 1/cos X = [tex]1/\sqrt{1- sin^2X} = 1/\sqrt{1 - 12^2/25^2} = 1/\sqrt{481}/25 = 25/\sqrt{481}[/tex]tan X = sin X / cos X = [tex]12/{25 : {\sqrt{481} }/25 = 12/{\sqrt{481} }[/tex]cos Z = sin X = 12/25The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the equation of line s?
Answer:
[tex]y=-\frac{1}{4}x+2[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form:[tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope of line S using line R (m)
[tex]y=-\frac{1}{4} x+3[/tex]
We can identify clearly that the slope of the line is [tex]-\frac{1}{4}[/tex], as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be [tex]-\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{1}{4}x+b[/tex]
2) Determine the y-intercept of line S (b)
[tex]y=-\frac{1}{4}x+b[/tex]
Plug in the given point (-4,3) and solve for b
[tex]3=-\frac{1}{4}(-4)+b\\3=1+b[/tex]
Subtract 1 from both sides to isolate b
[tex]3-1=1+b-1\\2=b[/tex]
Therefore, the y-intercept is 2. Plug this back into [tex]y=-\frac{1}{4}x+b[/tex]:
[tex]y=-\frac{1}{4}x+2[/tex]
I hope this helps!
