Answer:
20
Step-by-step explanation:
8% × 250 =
(8 ÷ 100) × 250 =
(8 × 250) ÷ 100 =
2,000 ÷ 100 =
20;
Answer:
3.8%×250=
9.5
so the answer is 9.5
3/4x+3-6/2x-1 algebric fractions
Answer:
-9x-8/4
Step-by-step explanation:
Find the value of w.
(MGSE9-12.G.C.2)
(Bm'
(4w - 51*
a.
b. 4
C. 5
d. 6
The (4·w - 5)° measure of the arc, and and the (3·w)° measure of the angle subtended by the arc at the center of the circle, indicates that the value w is 5
The correct option is therefore;
C. 5
What is an arc of a circle?An arc of a circle is a part of the circumference of the circle
The measure of the specified arc is; (4·w - 5)°
The measure of the angle at the center of the circle is; (3·w)°
The measure of an arc of a circle is the same as the angle subtended at the center of the circle
Therefore, we get; (4·w - 5)° = (3·w)°
(4·w - 5)° = (3·w)°
4·w - 3·w = 5
w = 5
The correct option is option C
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The value of w in the circle is 5.
How to find the value of w in the circle?An arc of a circle is a portion of the circumference of a circle. It is defined by two endpoints and the arc itself.
The measure of an arc is given in degrees or radians, and it is determined by the angle that it subtends at the center of the circle.
Thus, the measure of arc BC is (4w-5)° which is determined by (3w)°. That is:
(4w-5)° = (3w)°
4w-5 = 3w
4w - 3w = 5
w = 5
Therefore, the value of w is 5.
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Mark set his watch 12.96 seconds behind, and it falls behind another 1.97 seconds every day. How many days has it been since Mark last set his watch if the watch is 20.84 seconds behind?
Answer:13 to 14
Step-by-step explanation:
plz help me help me i need help badly
Answer:
The answer is D
Step-by-step explanation:
The number of hours of sunshine in Barbados for successive days during a and 11.8. Find the daily certain week were 11.1, 11.9, 11.2, 12.0, 11.7, 12.9 average. The following week the daily average was 11 hours. How many more hours of sunshine were there the first week than the second?
Answer:
5.6
Step-by-step explanation:
11*7=77
11.8*7= 82.6
82.6-77=5.6
if the diameter of the reserve tank is 30.51 cm, what is the shortest height it should be? (round the final answer to four decimal places.)
If the diameter of the reserve tank is 30.51 cm, the shortest height the reserve tank should be is 0 cm.
How to find?
The shortest height of the reserve tank can be determined using the formula for the volume of a cylinder.
The formula for the volume of a cylinder is \(V = π * r^2 * h\),
Where V is the volume, π is a constant approximately equal to 3.14159, r is the radius, and h is the height.
To find the shortest height, we need to find the maximum volume of the tank. Since the diameter is given as 30.51 cm, we can calculate the radius by dividing the diameter by 2.
radius = diameter / 2
= 30.51 cm / 2
= 15.255 cm
Substituting the values into the volume formula, we get:
\(V = π * (15.255 cm)^2 * h\)
To find the maximum volume, we need to maximize the height. Since we want the shortest height, we want to minimize the volume. Therefore, we set the volume equal to zero:
\(0 = π * (15.255 cm)^2 * h\)
Solving for h:
\(h = 0 / [π * (15.255 cm)^2]\)
h = 0 cm
Therefore, the shortest height the reserve tank should be is 0 cm.
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The shortest height for the reserve tank is approximately 0.0184 cm (rounded to four decimal places).
To determine the shortest height of the reserve tank, we need to use the formula for the volume of a cylinder, which is V = \(\pi r^2h\), where V represents the volume, π is a constant approximately equal to 3.14159, r is the radius, and h is the height of the cylinder.
Given that the diameter of the reserve tank is 30.51 cm, we can calculate the radius by dividing the diameter by 2. Thus, the radius (r) is 30.51 cm / 2 = 15.255 cm.
To find the shortest height, we need to consider that the volume of the reserve tank should be non-zero. Therefore, we'll assume the minimum value for the height is 0.0001 cm.
Now, we can substitute the values into the formula and solve for the volume:
V = \(\pi r^2h\)
V = 3.14159 * (15.255 cm)^2 * 0.0001 cm
V ≈ 0.018411 \(cm^3\) (rounded to six decimal places)
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a car is sold for $18,000. after one year, the value of the car is $11,700. write an exponential function y to determine the value of the car after x years if the rate of decrease is the same each year.
The exponential function that determines the value of the car after x years is y = 18000(0.65)ˣ. Here the rate of decrease is the same each year.
What is the exponential function?The exponential function is the function that gives the relationship between the input and the output with a rate of increase or decreases exponentially. It is given by the formula,
y = abˣ
Where 'a' is the initial value, 't' is the time, and 'b' is the rate. If b > 1, then the function is said to be the exponential growth function, and if b < 1, the function is said to be the exponential decay function.
Calculation:Given that, a car is sold for $18,000.
So, the initial value a = 18000.
After one year (x = 1), the value of the car is $11,700 i.e., y = 11700. So we can write the exponential function as
11700 = 18000(b)¹
⇒ b = 11700/18000 = 0.65
Since b < 1, the function is exponentially decaying.
Then, the value of the car after 'x' years is given by the exponential decay function as
y = 18000(0.65)ˣ
(It is given that, the rate of decrease is the same each year).
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helpppppp plss thanks
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
HELP HELP HELP PLEAASE
Answer:
Step-by-step explanation
Kf i help u wojld u help me
Answer: your answer will be 72 divided by 8
Step-by-step explanation: because they wanna know how many pages she put stickers on in if you divide it will tell you how many pages she put stickers on witch is 9
What is happening to this graph?
Reason: The line goes downhill when moving to the right, and when we're between x = -1 and x = 1. You can think of it like a roller coaster.
Anna attends an art auction, and decides she’d like to buy a painting. She gives herself an upper limit of $3000 when starting the bidding process. The second-highest bidder offers $2200, and so Anna wins the painting by offering $2300. What is Anna’s consumer surplus?
$0
$700
$2200
$2300
$3000
Answer:
$700
Step-by-step explanation:
She's willing to pay up to $3000.
She pays only $2300.
consumer surplus = $3000 - $2300 = $700
Answer:
$700
Step-by-step explanation:
Anna's consumer surplus is the difference between her willingness to pay and the price she actually paid, which is $3000 - $2300 = $700.
Therefore, the answer is $700.
Consider this expression. x-4/2(x+4)
Answer:
Option A
Step-by-step explanation:
We will simplify the expressions given in the options first,
x² - 16 = (x - 4)(x + 4)
2x + 8 = 2(x + 4)
x² + 8x + 16 = (x + 4)²
Option A
\(\frac{x^2-16}{2x+8}\) × \(\frac{x+4}{x^2+8x+16}\)
= \(\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}\)
= \(\frac{x-4}{2(x+4)}\)
Option B
\(\frac{2x+8}{x^2-16}\) ÷ \(\frac{x^2+8x+16}{x+4}\)
= \(\frac{2(x+4)}{(x+4)(x-4)}\) ÷ \(\frac{(x+4)^2}{(x+4)}\)
= \(\frac{2}{(x-4)}\times \frac{1}{(x+4)}\)
= \(\frac{2}{x^2-16}\)
Option C
\(\frac{x^2-16}{2x+8}\) ÷ \(\frac{x+4}{x^{2}+4x+16}\)
= \(\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}\)
= \(\frac{(x-4)(x+4)}{2}\)
Option D
\(\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}\)
= \(\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}\)
= \(\frac{2(x+4)}{(x-4)}\)
Therefore, Option A is the answer.
A pipe fills 11/15 liters of tub in 22/45 minutes. What is it's flow rate in terms of liters per minute?
The flow rate of the given fluid in the pipe is gotten as; 3/2 liters per minute
How to calculate the rate of flow?We are told that a pipe fills 11/15 liters in 22/45 minutes.
Now, to get the flow rate of this pipe, we will use the formula;
Flow rate = Quantity of fluid/Time
Thus;
Flow rate = 11/15 ÷ 22/45
⇒ 11/15 * 45/22
⇒ 3/2 liters per minute
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let k(x) be piecewise function such that k(x) = sinx/x if x ≠ 0, 0 if x=0. let h(x) = 1+x from domain (-infinity, 2), and also let h(x) = -1+x from domain [1, infinity)
what would be limit as x approaches 0 of k(x)-h(x)/k(x) ?
a 0
b 1
c 2
Answer:
a. 0
Step-by-step explanation:
You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.
LimitSince we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.
The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...
lim[x→0] (k(x) -1)/k(x)
The limit of k(x) as x → 0 is 1, so this becomes ...
lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0
Sin(x)/xAt x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...
lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1
The fact that k(0) = 0 is irrelevant with respect to this limit.
__
Additional comment
We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.
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In Lin's drawing, the scale is 5 inches = 8 feet, and the back wall of the lab measures
15 inches. Five computer workstations will be equally spaced along the entire
length of that wall. Each workstation measures 4 feet by 4 feet. How far apart are
the workstations in Lin's drawing? Explain.
Answer:
1 ft
Step-by-step explanation:
scale: 5 in. = 8 ft
Back wall scale measurement: 15 in.
Back wall real measurement: 15 in. × 8 ft / 5 in. = 24 ft
Each workstation measures 4 ft.
5 workstations measure 5 × 4 ft = 20 ft
24 ft - 20 ft = 4 ft
When you place 5 workstations, the outer two will be at the ends of the 24-ft wall. There will be 4 spaces between the workstations.
4 ft / 4 = 1 ft
Answer: 1 ft
A scooter travels 30 feet in 2 seconds at a constant speed. b. Complete the double number line to show the distance the scooter travels after 1, 3, 4, and 5 seconds.
Answer:
15 feets ; 45 feets ; 60 feets ; 75 feets
Step-by-step explanation:
Given that:
Moving at a constant speed ; Distance traveled in 2 seconds = 30 feets
The traveling speed = distance / time
Traveling speed = 30 feets / 2 seconds
Traveling speed = 15 ft/s
Distance traveled = traveling speed * time
Distance traveled after 1 second :
Time = 1 second
15ft/s * 1s = 15 ft
Distance traveled after 3 second :
Time = 3 second
15ft/s * 3s = 45 ft
Distance traveled after 4 second :
Time = 4 second
15ft/s * 4s = 60 ft
Distance traveled after 5 second :
Time = 5 second
15ft/s * 5s = 75 ft
if you wanted to save $30,000 to buy a new car. instead of focusing on saving the whole amount, you work to earn $1,000 at a time. this makes the process seem more manageable to you because you are using the heuristic. question 1 options: availability subgoaling algorithm mechanical
If you wanted to save $30,000 you need to work 30 times .
Given:
if you wanted to save $30,000 to buy a new car. instead of focusing on saving the whole amount, you work to earn $1,000 at a time. this makes the process seem more manageable to you because you are using the heuristic.
Number of times to work = money to save / at a time money.
= $30000/$1000
= 30000/1000
= 3000/100
= 300/10
= 30 times
Therefore you need to work 30 times to earn $30,000.
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A top is on sale for 30% off. If the top was originally $18.50, what is the sale
price of the top?
Answer:
it will be $12.6 dollars
Step-by-step explanation:
Answer:
12.5 dollars
WILL MARK BRAINLIEST
Select the correct answer.
If 10% of x is 20, what is 23% of x?
A.
33
B.
46
C.
200
D.
230
Answer:
a 33 I think
Step-by-step explanation:
i am not really good at that
Answer:
B. 46
10% of 200 is 20 so 23% of 200 is 46
X is a continuous uniform random variable between the values 5 and 11.3. What is the probability X is more than or equal to 6.2? Round your answer to two decimal places.
From the given information provided, the probability that X is more than or equal to 6.2 is approximately 0.79.
The probability that X is more than or equal to 6.2 can be found by calculating the area under the probability density function of X to the right of 6.2. Since X is a continuous uniform random variable, the probability density function is a straight line with a slope of (1/(11.3-5)) = 1/6.3, and a y-intercept of 1/(11.3-5) = 1/6.3.
The area under the probability density function of X to the right of 6.2 is given by:
∫[6.2,11.3] (1/6.3) dx
= (1/6.3) [x]_[6.2,11.3]
= (1/6.3) (11.3 - 6.2)
= 0.79365
Rounding this to two decimal places, we get:
P(X ≥ 6.2) = 0.79
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A circle with a radius of 5 cm has an area of 78.54 cm2. What constant, rounded to the nearest hundredth, do you get when the area is divided by the radius squared?
Answer:
3.14
Step-by-step explanation:
Area of a corcle is sexpressed as';
A = πr²
π = A/r²
π = 78.54/5²
π = 78.54/25
π = 3.1416
When the area is divided by radius the required constant is 3.14
In the last 6 days, Laura has
jogged 39 miles. At what rate did
Laura jog each day?
A: 234 miles per day
B: 33 miles per day
C: 6.5 miles per day
D: 0.15 miles per day
Answer:
6.5 miles per day
Step-by-step explanation:
Take the number of miles and divide by the number of days
39 miles/ 6 days
6.5 miles per day
Answer: 6.5 miles per day is correct
Step-by-step explanation:
You would just need to divide 39 by 6 to find the total miles per day. Therefore C: 6.5 is correct!
In a classic Conan Doyle story. Sherlock Holmes solves a crime mystery by recognizing that a guard dog didn't bark. Therefore. the dog must have known the perpetrator. Holmes' reasoning goes like this: if the guard dog doesn't know a person. then it barks. The dog didn't bark. Therefore, it knew the person. Which rule of inference is being used here?
Addition. Addition
Simplification. Simplification
Conjunction. Conjunction
Modus Ponens. Modus Ponens
Hypothetical Syllogism. Hypothetical Syllogism
Disjunctive Syllogism. Disjunctive Syllogism
Modus Tollens. Modus Tollens
Resolution. Resolution
The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.
In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."
The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).
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Given y = 3x + 1 State the quadrants in which this graph is in. (Use the numbers 1-4)
Answer:
1, 2 and 3 (I, II and III)
Step-by-step explanation:
Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.
The y intercept is 1
the x intercept is:
0 = 3x + 1
x = 1/3
Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III. Graph the equation to prove this.
A lawn sprinkler can spray up to 20 feet. If it sprays in a circular pattern, what is the approximate area in square feet watered by the sprinkler?
Answer:
1256.64 square feet
Step-by-step explanation:
In this situation, 20 feet is the radius of the circle that is sprayed.
Use the area formula, A = \(\pi\)r²
Plug in 20 as the radius and solve:
A = \(\pi\)r²
A = \(\pi\)(20)²
A = 400\(\pi\)
This is approximately equivalent to 1256.64
So, the approximate area watered by the sprinkler is 1256.64 square feet
Which is an x-intercept if the coordinates functions in the table?
A.(0,-6)
B.(3,0)
C.(-6,0)
D.(0,3)
nevermind im wrong. ;(((((((((((((
What are the domain and range of the function? f(x)=x−3−−−−√3 Domain: [3, [infinity]) Range: (−[infinity], [infinity]) Domain: [3, [infinity]) Range: [0, [infinity]) Domain: (−[infinity], [infinity]) Range: (−[infinity], [infinity]) Domain: [0, [infinity]) Range: [3, [infinity])
Option (â): ˆ’[infinity], [infinity])` is the correct answer.
The given function is `f(x) = x - 3 - sqrt(3)`. To find the domain and range of this function, we can follow the steps mentioned below:
Domain of a function:
The domain of a function is the set of all possible values of x for which the function is defined or the input values of a function. A function is not defined if:
1. The denominator is zero.
2. We have a negative square root.
3. The logarithm of a negative number.
In the given function, we do not have any denominator or logarithm. We only have a square root, which is subtracted from `x-3`. Therefore, the function is defined for all real values of `x` greater than or equal to `3`. Hence, the domain of the function `f(x)` is `[3, [infinity])`.
Range of a function:
The range of a function is the set of all possible values of `y` that we get after putting different values of `x` in a function. In this case, we can see that the value of the square root is subtracted from `x-3`. Therefore, the minimum value of the function `f(x)` will be when the square root is maximum. The maximum value of the square root is `0`, which occurs when `x=3`. Hence, the minimum value of the function `f(x)` is `3-sqrt(3)`.
Similarly, the maximum value of the function will occur when the square root is `0` (i.e., when `x` approaches infinity). Hence, the maximum value of the function `f(x)` is `+infinity`.
Therefore, the range of the function `f(x)` is `(−[infinity], [infinity])`.
Hence, the correct option is `(−[infinity], [infinity])`. Therefore, option `(−[infinity], [infinity])` is the correct answer.
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Write the equation in spherical coordinates.
(a) 2x2 - 3x + 2y2 + 2z2 = 0
? =
(b) 3x + 4y + 2z = 1
? =
(a) \(2 + (2 - 3/r) sin\theta cos\phi = 0\), the equation in spherical coordinates.
(b) 3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r, the equation in spherical coordinates.
How to write the equation \(2x^2 - 3x + 2y^2 + 2z^2 = 0\) in spherical coordinates?(a) To write the equation \(2x^2 - 3x + 2y^2 + 2z^2 = 0\)in spherical coordinates, we need to express x, y, and z in terms of spherical coordinates. We have
x = r sinθ cosφ
y = r sinθ sinφ
z = r cosθ
Substituting these expressions into the given equation, we get
\(2(r sin\theta cos\phi)^2 - 3(r sin\theta cos\phi) + 2(r sin\theta sin\phi)^2 + 2(r cos\theta)^2 = 0\)
Simplifying, we get
\(2r^2(sin^2\theta cos^2\phi + sin^2\theta sin^2\phi) + 2r^2 cos^2\theta - 3r sin\theta cos\phi = 0\)
Using the identity \(sin^2\theta + cos^2\theta = 1\), we can simplify this equation further to get
\(2r^2 + (2r^2 - 3r) sin\theta cos\phi = 0\)
Dividing both sides by \(r^2\) and rearranging, we get
\(2 + (2 - 3/r) sin\theta cos\phi = 0\)
This is the equation in spherical coordinates.
How to write the equation 3x + 4y + 2z = 1 in spherical coordinates?(b) To write the equation 3x + 4y + 2z = 1 in spherical coordinates, we again need to express x, y, and z in terms of spherical coordinates. Substituting these expressions into the given equation, we get
3(r sinθ cosφ) + 4(r sinθ sinφ) + 2(r cosθ) = 1
Simplifying, we get
r(3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ) = 1
Dividing both sides by r and rearranging, we get
3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r
This is the equation in spherical coordinates.
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The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path.
a= v^2/r
Solve the formula for the velocity.
v=
Answer:
Step-by-step explanation:
For this case we have the following equation:
a = v ^ 2 / r
From here, we must clear the value of speed.
We have then:
v ^ 2 = a * r
v = root (a * r)
Answer:
the formula for the velocity is:
v = root (a * r)
Answer:
v=\(\sqrt{ar}\)
Step-by-step explanation:
The equation of a circle is given below. Identify the center and radius. Then graph the circle. x^2+y^2=25
The center of the circle is (0, 0) and the radius is 5.
The equation of the circle is x² + y² = 25.
By comparing this equation to the standard form of a circle,
(x - h)² + (y - k)² = r²,
we can identify the center and radius of the circle.
In this case, the equation x² + y² = 25 represents a circle centered at the origin (0, 0) because there are no constants added or subtracted from x² and y².
The radius of the circle is the square root of the constant term, which is √25 = 5.
Hence the center of the circle is (0, 0) and the radius is 5.
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