Circle, ellipse, hyperbola, or parabola?
(x- 3)^2 + (y + 2)^2 = 81
Answer:
It's a circle
Step-by-step explanation:
The rate in the portion formula is not always expressed with a percent symbol?
That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.
What is the proportional and ratio formula?How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.
What does a ratio example look like?An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.
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What is the value of f(5) if f(3)=10 and the rate of change over the interval 3≤x≤5 is 15?(1 point
f(5)=40
f(5)=20
f(5)=5
f(5)=10
The average rate of change of \(f(x)\) over 3 ≤ x ≤ 5 is
\(\dfrac{f(5)-f(3)}{5-3}=15\)
Solve for \(f(5)\):
\(\dfrac{f(5)-10}2=15\)
\(f(5)-10=30\)
\(\boxed{f(5)=40}\)
It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
Assume the pack ice was drifting at a constant rate, and that Todd’s snowmobile was traveling at a constant speed relative to the pack ice.
What was the speed of Todd's snowmobile?
Answer:
The speed of Todd's snowmobile was 22 miles an hour
Step-by-step explanation:
:))
The speed of Todd's automobile is 31 miles per hour.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
For the first journey,
v₁ + v₂ = 330 / 11 ......................( 1 )
For the return journey,
v₂ - v₁ = 330 / 15 .........................( 2 )
From equation ( 1 ) and equation ( 2 ),
2v₂ = ( 330 / 11 ) + ( 330 / 15 )
2v₂ = ( 330 ) ( 31 / 165 )
v₂ = 165 ( 31 / 165 )
v₂ = 31 miles per hour
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Please help asap it’s timed :(
PQT = 53°
i hope it is correct.....
Elena went 60 meters in 50 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster? Explain your reasoning.
Study parallelogram ABCD. Which graph of A'B'CD' shows parallelogram ABCD translated 4 units to the left?
A. graph A
B . graph B
C. graph C
D. graph D
Answer:
Step-by-step explanation:
A circle has a diameter of 24 in what is the circumference pi is 3.14
Answer:
The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.
In this case, the diameter of the circle is given as 24 inches.
Using the formula, we can substitute the values:
C = πd
C = 3.14 * 24
C ≈ 75.36 inches
Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.
Step-by-step explanation:
Which of the following is the value of a when the function f(x) = 3|x| written in the standard form of an absolute value function?
–1
–3
1
3
Answer: -1 Is the answer.
In construction, floor space must be planned for stair cases. If the vertical distance between the first and second floors it's 3.6 m and a contractor is using the standard step pattern of 28 cm wide for 18 cm high and how many steps are needed to get the first to the second floor and how much linear distance will be needed for the staircase? What is the length of the railing that would be attached to these stairs? Round to the nearest hundredth.
If in construction, floor space must be planned for stair cases. the length of the railing that would be attached to these stairs is: 6.657 meters.
How to find the length?First step is to convert the meter to centimeters and the find the number of step
3.6m =360cm
360cm/18cm = 20 steps
So,
20 steps × 28 cm = 560 cm long
x²= 3.6cm² + 5.6m²
x²= 12.96 + 31.36
x² = 44.32
x = √44.32
x = 6.657 meters
Therefore the length is 6.657 meters.
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A bag contains 8 white marbles, 4 green marbles and 3 blue marbles. 2 marbles are selected at random without replacement, find the probability th
first marble is blue and the second marble is white, that is P(blue marble and white marble)
Answer:
24/225
Simplified: 8/75
Step-by-step explanation:
8 + 4 + 3 = 15
Since there are no replacements the denominator will get lower every time a marble is pulled.
First is blue which means,
3/15
The second is white,
8/15
If I'm not wrong you would multiply 3/15 and 8/15 and you get 24/225.
Simplified: 8/75
The probability that the first marble is blue and the second marble is white, that is P(blue marble and white marble) is 8/75.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
A bag contains 8 white marbles, 4 green marbles and 3 blue marbles.
2 marbles are selected at random without replacement.
Total number of marbles
8 + 4 + 3 = 15
Since there are no replacements the denominator will get lower every time a marble is pulled.
The first marble is blue ; 3/15
The second is white ; 8/15
The probability that the first marble is blue and the second marble is white, that is P(blue marble and white marble)
= 3/15 x 8/15
= 24/225.
= 8/75
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Leah read a total of 8 books over 4 months. If Leah has read 14 books so far, how many
months has she been with her book club? Solve using unit rates.
Answer:
7 months
Step-by-step explanation:
because if she read 8 in 4 months 2 books a month so therfore 14÷2=7
In order to join the next yoga class at the YMCA, you must pay a $50 annual fee, then $4 for each class you attend. How many classes can you attend if you budget to spend $98.00 that year on Yoga?
Answer:
12 Yoga classes
Step-by-step explanation:
50 + 4x = 98
Subtract 50 on each side
4x = 48
Divide by 4 on each side
x= 12
You can attend 12 yoga classes in a year with a $98 budget.
What is the product of 12 and 8 ?
4.
Which of the following lists is ordered from least to greatest?
1-1.51, -2,0
2 3
5 4
0-2
2 3
-2, -1.5, 0,
5'4.
32
-2, -1.5, 0,
4' 5
2 3
-1.5, -2,0
5'4
Answer:
2 3
2 3
-2 - 1.5 0
4 5
Step-by-step explanation:
-10 - 9 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 1 0
find the perimeter of OQR
The perimeter of the triangle OQR is 68 cm
How to determine the perimeter of the triangle OQRFrom the question, we have the following parameters that can be used in our computation:
Circles with the centers O, Q and R
When these centers are connected, the connection forms a triangle
The triangle OQR
Also from the question, we have the following values of radii
Radii = 8 cm, 11 cm and 15 cm
The perimeter of the triangle OQR is calculated as
Perimeter = Twice the sum of the radii
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 *(8 + 11 + 15)
Evaluate the sum
Perimeter = 2 * 34
Evaluate the products
Perimeter = 68
Hence, the perimeter is 68 cm
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Un trabajo puede ser realizado por 30 obreros durante 40 días. si el plazo para terminarlo es de 12 días, ¿cuántos obreros más se deben contratar?
To complete the job in 12 days, they need 100 workers.
How many works are needed?We know that 30 workes can complete 1 job in 40 days, then if each worker works at a rate R, then we can write:
30*R*40 days = 1 job
R = (1/1200) job/day
Then if they need to complete the job in 12 days, the number N of workers needed is:
N*(1/1200)*12 = 1
N = (1200/12) = 100
100 workers are needed.
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Chang will run at least 21 miles this week. So far, he has run 12 miles. What are the possible numbers of additional miles he will run?
Use t for the number of additional miles he will run.
Write your answer as an inequality solved for t.
Using an inequality to represent the problem, Chang must run at least an additional 9 miles or greater than 9 miles
What is an InequalityIn Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
To find the number of additional miles he will run, let's set the unknown number equals t
12 + t > 21
t > 21 - 12
t >9
Chang will need to run at least 9 miles
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Referring to a line segment with endpoints A and B, what does it mean to refer to AB with no line over it?
Answer: length of AB
Step-by-step explanation:
\(\overline{AB}\) represents the line segment from point A to point B
\(\overrightarrow{AB}\) represents ray from point A to infinity through point B
AB represents the length of the line segment from point A to point B.
Keith and Allison go out to eat their bill was 63.16$ they only paid 50.03$ what was the percent discount of their coupon
Answer:
16.04%
Step-by-step explanation:
53.03$- 63.16$= -10.13
-10.13$/63.16$=-0.16038
rounding 8 making the 3 a 4
16.04%
Solve: 16x2 − 81 = 0
16 x 2 - 81
32-81
= -49
Answer:
x =±9/4
Step-by-step explanation:
16x^2 − 81 = 0
Add 81 to each side
16x^2 − 81 +81 = 81
16 x^2 =18
Divide by 16
x^2 =81/16
Take the square root of each side
sqrt(x^2) = sqrt(81/16)
x =±9/4
3y=9x+18
What is the slope for this equation?
What is the y intercept for this equation?
Please help solve 3m/2/3 = 7
Answer:
the solution to the equation is m = 28/3, or approximately 9.3333
Step-by-step explanation:
To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:
3m/2/3 = 7
(2/3) * (3m/2/3) = (2/3) * 7
3m/2 = 7 * (2/3)
3m/2 = 14/3
Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:
(2) * (3m/2) = (2) * (14/3)
3m = 28/3
Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:
(3m) / 3 = (28/3) / 3
m = 28/3
Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.
Answer:
Maybe m = 14/9
Maybe m = 14
Step-by-step explanation:
It is not clear what you mean by the fraction on the left side.
Do you mean
3m/(2/3) = 7 ?
If so:
3m = 7 × 2/3
3m = 14/3
m = 14/9
Do you mean
(3m/2)/3 = 7 ?
If so:
3m/2 = 21
m = 21 × 2/3
m = 14
Do you mean something else?
The bacteria in a dish triples every hour. At the start of the experiment therewere 400 bacteria in the dish. When the students checked again there were32,400 bacteria. How much time had passed?.
Solution:
Given:
\(\begin{gathered} At\text{ time (t) = 0, 400 bacteria were present.} \\ \\ \text{The bacteria triples every hour.} \end{gathered}\)Hence, this is an exponential function.
\(\begin{gathered} y=ab^x \\ \text{where;} \\ y\text{ is the number of bacteria present} \\ x\text{ is the time} \\ \\ \text{Hence, at the start of the experiment} \\ 400=ab^0 \\ a=400 \\ \\ At\text{ the next hour, the number has tripled} \\ 1200=ab^1 \\ 1200=400(b^1) \\ b=\frac{1200}{400} \\ b=3 \end{gathered}\)Hence, the function can be represented by;
\(y=400(3^x)\)The time that had passed when the bacteria was 32,400 will be;
\(\begin{gathered} y=400(3^x) \\ 32400=400(3^x) \\ \text{Dividing both sides by 400,} \\ \frac{32400}{400}=3^x \\ 81=3^x \\ 3^4=3^x \\ \\ \text{Equating the exponents since the base are the same,} \\ x=4 \end{gathered}\)Therefore, 4 hours have passed when the bacteria became 32,400
I need help quickly
Using L'hopital we can see that the limit is equal to 1/22
How to solve the limit?Here we want to take the limit of x tending to zero for x/sin(22x)
Notice that when x = 0, both numerator and denominator are zero, so we need to take the limit of the first derivatives, for:
y = x
y' = 1
And for:
y = sin(22x)
y' = 22*cos(22x)
Now taking the limit we will get:
\(\lim_{x \to 0} \frac{1}{22cos(22x)} = \frac{1}{22cos(0)} = 1/22\)
That is the value of the limit.
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James can finish a job in 1.5 hours. Jane can finish the same job in one hour. How long will it take them to finish this job if they work together?
Answer:
36 minutes
Step-by-step explanation:
thank me later
You are reading a new book. On Monday you read 3 pages. On each day after that, you read 3 times the number of pages you read on the previous day. How many pages do you read on Thursday?
Answer:
3+(3×3×4)
3+(9×4)
3+36
39
a farmer has 47 eggs.He packs 6 eggs in each box. How many egg boxes does he need to packall the eggs?
We need to divide up 47 eggs into boxes of 6. Therefore, we are doing a division problem.
6 x 7 = 42
42 is as close as we can get to 47 without going over. So, at this point, we need 7 boxes.
BUT - There are 5 eggs left without a box. We cannot have part of a box either. Therefore, we need to add in another box.
7 + 1 = 8
He needs 8 boxes to pack all the eggs.
Hope this helps!
Answ
Step-by-step explanation:
17 boxes 47 divided by six so it is 17 boxes hope it helps:)
prove that the electric field is negative of the gradient of electric potential
Answer:
Electric field points out the direction in which potential energy function is decreasing so it's the negative gradient vector of the potential energy function.
Step-by-step explanation:
^^
PLEASE HELP!!!! (geometry)