The nature of the roots of a given quadratic equation √3x²+10x+7√3=0 is real and distinct because of the value of b²-4ac>0.
where a, b, and c are the coefficients in the standard form of the quadratic equation ax²+bx+c=0
Given quadratic equation is √3x²+10x+7√3=0 on comparing with the standard form of a quadratic equation ax²+bx+c=0. Hence a=√3,b=10,
and c=7√3
Now b²-4ac=10²-4×√3×7√3=100-28×3=16>0.
here the value of b²-4ac is greater than 0.
We know if the value of b²-4ac then the roots of the given equations are real and distinct.
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X-9/2=12
X=?
Find what does x equal to.
Answer:
x = 33
Step-by-step explanation:
cross-multiply:
x-9 = 2(12)
x-9 = 24
x = 33
Answer:
The answer is 33.
Step-by-step explanation:
1) Multiply both sides by 2.
[tex]x - 9 = 12 \times 2[/tex]
2) Simplify 12 × 2 to 24.
[tex]x - 9 = 24[/tex]
3) Add 9 to both sides.
[tex]x = 24 + 9[/tex]
4) Simplify 24 + 9 to 33.
[tex]x = 33[/tex]
Hence, the answer is 33.
PLEASE HELP FOR MATH!!!!
230 Just add and divide
May someone please help me with this :)
Answer:
i was taught this but i dont remember so I dont know if I can help sorry bud
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75250 tickets were available for an international cricket match. 62% of the tickets were sold
within a day. How many tickets are left?
Answer:
46655
Step-by-step explanation:
[tex]75250 \cdot \frac{62}{100} = 46655[/tex]
Find the cardinal number of the indicated set. Use the cardinal number formula.
F4) If n(A) - 10, n(
AB) = 28, and n(AB) = 6, find n(B).
A) 24
B) 18
C) 25
D) 23
Find the cardinal number
A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If we start observing the piston at its maximal height, find an equation modelling the height, h, t seconds from the initial observation.
Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
A blade of a windmill completes 1 rotation every 4 seconds. The outer end of the blade travels 600 feet in 1 rotation. What is the speed of the outer end of the blade in feet per minute?
NEED ANSWERS ASAP
Answer:
900 feet per minute
Step by step solution:
I did 60÷4 then it is 15 so 600*15 is 9000
Hope i am right...
The weight limit for suitcase is 23 kg. You want to make sure that you will not be charged baggage fees on your flight back. What is the weight limit in pounds? 1 kg = 2.2 pounds.
Answer:
33lbs
Step-by-step explanation:
Write an equation of the line that passes through the points (-2,-7) and (0,-4).
Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) point - slope form of a line.
y = mx + b slope- intercept form of a line.
~~~~~~~~~~~~~~~~~
( - 2, - 7 )
( 0, - 4 )
m = [tex]\frac{- 4 - (-7)}{0 - (- 2)}[/tex] = [tex]\frac{3}{2}[/tex]
y - ( - 4 ) = [tex]\frac{3}{2}[/tex] ( x - 0 )
y + 4 = [tex]\frac{3}{2}[/tex] x
y = [tex]\frac{3}{2}[/tex] x - 4 slope- intercept form
3x - 2y = 8 standard form
Classify the graph.
A?
B?
C?
D?
Answer:
linear
Step-by-step explanation:
you can tell its linear bc its in a straight line
hope this helps <3
A cell phone company charges a one-time activation fee, as well as a monthly service charge for a cell phone plan with unlimited minutes and data. The total cost is modeled by the function C(x) = 99 + 85x. Which statement represents the meaning of the function?
Answer:
C(x) is the total cost, x is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.
Step-by-step explanation:
Because I'm always right.
What is the slope of y = -x + 7?
Answer:
The slope is -1
Step-by-step explanation:
The slope is always the number in front of the x.
Which of the following is equivalent to the expression below?
Answer:
C is the answer
Step-by-step explanation:
HELP WITH THESE QUESTIONS ILL GIVE OUT BRAINLEST
Answer:
#3 is b
#4 is also b
Step-by-step explanation:
the following question statistical? Explain. How do shoppers in a town pay for their groceries? Choose the correct answer below. A. Yes , it is statistical . More than one response is possible . B. No , it is not statistical . Only one response is possible . C. Yes , it is statistical . Only one response is possible . D. No, it is not statistical. More than one response is possible .
Answer:
A grocery store is interested in how much money, on average, their customers spend each visit in the produce department. Using their store records, they draw a sample of 1,000 visits ...
Yes , it is statistical. More than one response is possible .
What is statistics?Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, and presentation of large amounts of data. It involves the use of data to make decisions and predictions based on probability and uncertainty. Statistics is used in a wide range of fields, from medicine and social sciences to business and engineering.
This question is asking for a statistical response because it is seeking information about the ways in which shoppers in a town pay for their groceries. The answer can vary from person to person, so there are multiple possible responses, making it a statistical question.
Therefore, option C is the correct answer.
Learn more about the statistical data here:
https://brainly.com/question/11161989.
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Find the surface area
Answer:
100
Step-by-step explanation:
i think
It is the cubicle shape
Therefore, 6l² is the formula to find surface area of cube
Area of cube = 6(10)²
Therefore, 6*100
Therefore, 600
Area of cube =600ft²
Classify the polynomial by degree and number of terms.
-2x² + x4 +3
constant
linear
quadratic
cubic
quartic
monomial
binomial
trinomial
Answer:
linear
Step-by-step explanation:
Answer: its a trinomial
Step-by-step explanation:
The diameter from the outer edge of the rubber of my old tires to the center of the tire is 76cm (30inches). What is the circumference of the tires?
Answer:
The circumference of the tires is of 94.25 inches.
Step-by-step explanation:
Circumference of a circle:
The circumference of a circle, with radius measuring r, is given by:
[tex]C = 2\pi r[/tex]
In which the radius is half the diameter.
In this question:
Diameter of 30 inches, so the radius is 30/2 = 15 inches.
The circumference is:
[tex]C = 2\pi (15) = 30\pi = 94.25[/tex]
The circumference of the tires is of 94.25 inches.
omg I need help w all the questions lol someone pls help me. If u can message me and tell me or help me w the answers
Can somebody please help me with multiplying fractions and it would be really helpful to show examples
Step-by-step explanation:
hey, hope this helps. :)
I need help with some scientific notation problems
Answer:
1) 4.5 x 10^3 =4,500
2)5.78 x 10^-2
3) 5.7 x 10^1 = 57
4) 6.256 x 10^-3 = 0.006256
5) 7.3 x 10^2 = 730
6) 4.2 x 10^-5 = 0.000042
7) 7x10^-3 = 0.007
8) 2.563 x 10^1
9) 3.0025 x 10^2 = 300.25
10) 1.456 x 10^-1
WHAT IS A EQUATION PLEASE HELP!
Answer: 1.5s+20
Step-by-step explanation:
Solve for x! , Please answer!!
If you can please show the explanation <3
Have a good day!
Answer:
Value of x = -7
Step-by-step explanation:
Given:
First angle = 83°
Second angle = 24°
Third angle = (38 - 5x)°
Find:
Value of x
Computation:
We know that sum of all interior angle in triangle is 180°
So,
83 + 24 + 38 - 5x = 180
145 - 5x = 180
-5x = 35
x = -7
Value of x = -7
The area of a square is a function of the length of the side of the square.
Answer: A =a2
Step-by-step explanation:
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Answer:
1st one is a function, 2nd is a funtion, 3rd is a function, 4th is not a function, 5th is not a function, 6 is a function
Step-by-step explanation:
Hope it helps :) You can see if a graph is a function by performing the vertical line test.
Based on the scatter plot, what type of association is shown between hours of sleep and test scores?
A: Positive Association
B: Negative Association
C: No Association
The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots. Which statement is true regarding these data sets?
Answer:
C lul
Step-by-step explanation:
https://brainly.com/question/22583943
(The majority of the members in each club are between 15 and 17 years old.)
There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Complete question :
There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Answer:
1 /9
Step-by-step explanation:
Capacity of container = 3 gallons
Amount of gallons in container = 1/3 gallon.
Fraction of water in container:
Division equation :
Amount of gallon in container / capacity of container
1 /3 ÷ 3 = 1/ 9
Multiplication equation :
1/3 of 1 gallon
Capacity of container = 3 gallons
1/ 3 * inverse of 3
1/3 * 1/3 = 1/9
please help!!!!
polygon MNOPQ is dilated by a scale factor of 5.4 with point M as the center of dilation to form the image M’N’O’P’Q’. compare NO and N’O’. N’O’ ____ through point M. the slopes of N’O’ and NO are ____
the first blank answer choices are: passes, or does not pass
the second blank answer choices are: the same, or different
Right I needed help on this