Answer: -92
Step-by-step explanation:
discriminant formula: [tex]b^2-4ac[/tex]
[tex]f(x) = 4x^2+2x+6[/tex]
a = 4
b = 2
c = 6
[tex]b^2-4ac\\2^2-(4(4)(6))\\4-(96)\\4-96\\-92[/tex]
Since the discriminant equals -92, and -92 is less than 0, we know the equation will not have real solutions
Recycling Center #1 charges $0.75 per visit but lets you use their equipment for free. Recycling Center #2 charges you $0.25 per visit and $5.00 to use their equipment. How many times would you need to visit the recycling center for the total cost to be the same?
Answer:
10 times
Step-by-step explanation:
We have two separate equations that represent this situation:
0.75x ----> which represents recycling center #1
0.25x + 5.00 -----> which represents recycling center #2
To find the amount of times you would need to visit the recycling centers for the total cost to be the same, put both of these equations equal to each other:
0.75x = 0.25x + 5.00
Now, solve:
0.75x = 0.25x + 5.00 Subtract 0.25x from 0.75x
0.50x = 5.00 Divide 5.00 by 0.50
x = 10
Thus, you would need to visit the recycling centers 10 times for the total cost to be the same.
Let's check this answer by plugging 10 into both equations:
0.75(10) = 7.5
0.25(10) + 5.00 = 7.5
Since both of the answers are the same, then 10 is the correct answer!
I hope this helps! Good luck!
Write the following in fraction form.
24 hours per day
Answer:
24 hours/1 day
Step-by-step explanation:
hours per day is a rate which can be expressed in the form of a fraction. since there are 24 hours in one day you know that as a fraction, they are equal to 1. you can then put 24hours/1day.
The table below summarizes the number of children per household for a sample of 36 high-income families.
Number of households
Number of children
16
13
What is the mean number of children per household for these families? Round your answer to at least one decimal place.
Using the given table, it is found that the mean number of children per household for these families is of 2.33.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
Researching the problem on the internet, the table states that:
2 households have 4 children.16 households have 2 children.13 households have 3 children.5 households have 1 children.The total number of children is given by:
T = 2 x 4 + 16 x 2 + 13 x 3 + 5 x 1 = 84
Hence the mean number of children for the 36 households is given by:
M = 84/36 = 2.33.
More can be learned about the mean of a data-set at https://brainly.com/question/24628525
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What is the explicit rule for the arithmetic sequence 3, 9, 15, 21, 27, . . . ?
Answer:
6n-3
Step-by-step explanation:
You can see the sequence is ascending by 6 each time so the nth term is 6n.
The 'zero term' would be -3 so the equation would be 6n-3.
Liam has a bag that contains pineapple chews, cherry chews, and lime chews. He
performs an experiment. Liam randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Liam performs the experiment 62 times. The
results are shown below:
A pineapple chew was selected 58 times. Based on these results, express the probability that the next chew Liam removes from the bag will be cherry chew as a decimal to the nearest hundredth
A cherry chew was selected 2 times.
A lime chew was selected 2 times.
Based on these results, express the probability that the next chew Liam removes from
the bag will be cherry chew as a decimal to the nearest hundredth
The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have:
Liam performs the experiment 62 times
Total number of outcomes = 62
A pineapple chew was selected 58 times.
A cherry chew was selected 2 times.
A lime chew was selected 2 times.
Now, the probability that the next chew Liam removes from the bag will be cherry chew:
P = 2/62
P = 1/31
P = 0.0322 or 0.03
Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
Learn more about the probability here:
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will you tell me what the gcf of 18, 24, 48 is?
Answer:
6
Step-by-step explanation:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greatest number that is in all lists is 6
How do you find a 180 degree angle?
180° angle is a straight line
hope it helps....!!!
Mr sithole intends to renovate his ceiling which is falling the carpenter quoted him R16000 for materials and labor .Mr sithole does not have the required cash at the moment he plans to borrow the money since the repairs are urgent .Mr sithole approached two bank A offered to lend him R16000 for five years at 18% per annum simple interest . bank B will lend him R16000 for five years at 16% interest compounded per annum.
Bank B will cost him R3205 MORE.
He must go with Bank A.
write the decimal Equivalent for this fraction 7/10
Answer: 0.7
This is because the 7 is in the tenths place
0.7 = 7 tenths = 7/10
You could also use long division or a calculator to get this decimal value.
Answer:
0.7
Step-by-step explanation:
To convert a decimal to a fraction, didvide the numerator by the denominator.
7 ÷ 10 = 0.7
note: This fraction is over 10. Any fraction over 10 will have a decimal value in the tenths place.
hope this helps!
how many centimeters are equual to 12 meters
Answer:
1200 centimeters=12 meters
Step-by-step explanation:
100 centimeters in a meter
so
100x12=1200
PLEASE HELP
Jasmine has saved $2500 to buy a used car, but she needs $3500 to buy the car she wants. If she places the $2500 into an account paying 6.5% interest compounded continuously, how many years will it be before she has the $3500 needed to purchase her car?
2.5 years
6.9 years
3.7 years
5.2 years
Answer:
about 5.2 years
Step-by-step explanation:
[tex]2500 {e}^{.065t} = 3500[/tex]
[tex]t = 5.2[/tex]
many credit card companies allow you to review your account statement online true or false
Many companies are moving online or are entirely online already. This includes credit card companies. Also, these same companies may send a bill in the mail as well, but it depends on the company. It effectively depends on if you select the "paperless billing" option or not.
Which iS an example of area?
Answer:
3. The amount of wallpaper for a wall in a bedroom
Step-by-step explanation:
1. The number of towels I can fit in a bathroom cabinet
No, sounds more like volume, since a cabinet has space inside.
2. The amount of ribbon used to decorate from one end of a room to the another
No, sounds like perimeter, since a ribbon would need to cover space in one direction.
3. The amount of wallpaper for a wall in a bedroom
Yes, wallpaper is applied in 2 directions and lays flat on a surface to cover a certain area.
Find the circumference of Circle, if the diameter of the circle is 2 feet,
Answer:
6.28 ft
Step-by-step explanation:
The formula for the circumference of a circle is C = 2[tex]\pi[/tex]r.
The radius is half of the diameter. If the diameter is 2 feet, then the radius is 1 foot.
Plugging in the given, values, we have C = 2[tex]\pi[/tex](1). We can now solve.
note: [tex]\pi[/tex] = 3.14
C = 2(3.14)(1)
C = 6.28
hope this helps!
determine whether the set is finite ir infinite
Answer:
The set is Infinite
Step-by-step explanation:
Infinite sets are ≥ greater than 1 and sometimes has an N
what is the circumference of a circle with diameter of 4 in
Answer:12.57
Step-by-step explanation:
The angle 01, is located in Quadrant II, and cos(01) = -12/19
What is the value of sin(01)?
Answer:
sqrt(217)/19
Step-by-step explanation:
Ok so insead of using 01 as the angle ill use x. cos(θ) is the the x-value of the point on the unit circle, while sin(θ) is the y value. cos(x) here is -12/19. By constructing a triangle such that one of the verticies is at (-12/19, sin(x)), we know the x distance is -12/19, and the hypotenues is 1, because it's a unit circle. sqrt(1-144/361)=sqrt(217/361)=sqrt(217)/19. the y value must e positive because this point lays in the 2nd quadrant.
my explanation might be a but tricky so let me know if you have any questions.
Answer:
see explanation
Step-by-step explanation:
Jackson works at a store and earns $200 each week. He also earns an additional $24 per sale. How
many sales does he need to make so that he earns a minimum of $500 in a week?
Answer:He would have to make a minimum of 13 sales
Step-by-step explanation:
When you divide 300 by 24 you will get 12.5 but you can’t make half a sale so you would have to round up to 13
Help me plsssss asap
5.What is the ratio of 2 gallons to 3 quarts?
ANSWER: SOLUTION
TO CHOOSE THE CORRECT OPTION
The ratio of 2 gallons to 3 quarts
A) 8 to 3
(B) 3 to 8
(C) 3 to 2
(D) 2 to 3
EVALUATION
Here we have to find the ratio of 2 gallons to 3 quarts
We know that
1 gallon = 4 quarts
∴ 2 gallon = 8 quarts
Hence the required ratio
= 8 : 3
Step-by-step explanation:
FINAL ANSWER
Hence the correct option is A) 8 to 3
What is the volume of the figure, in cubic centimeters?
Answer:
72 cm³
Step-by-step explanation:
Split the figure into 2 parts :
Top cuboidLower cuboidVolume of Lower Cuboid
V = 6 x 4 x 2V = 24 x 2V = 48 cm³Volume of Top Cuboid
V = 3 x 4 x (4 - 2)V = 12 x 2V = 24 cm³Total Volume
48 cm³ + 24 cm³72 cm³If m < 8 = 106 and m < 3 = (6x-4) what is the value of x.
a. x = 11
b. x = 12
c. x = 13
d. x = 18
please help
help pleaseee and explain too if you can
Answer:
y=30 and x =25.98
Step-by-step explanation:
Solving For Y value:
Sin30 = 15/y
0.5 = 15/y
y0.5 = 15
y = 15 / 0.5
y=30
Solving For X value:
Tan30 = 15 / x
0.58 = 15 / x
x0.58 = 15
x= 15/0.58
x =25.98
Which answers describe the shape below? Check all that apply.
A. Parallelogram
B. Trapezoid
C. Square
D. Rhombus
O E. Rectangle
The correct answers are, A, D, and E.
1. Consider the equation 2 x e x + = . This equation has a solution close to x = 0 .
a. Determine the linear approximation, L x( ), of the left-hand side of the equation about
x = 0 . (2)
b. Use L x( ) to approximate the solution of the equation 2 x e x + = . (2)
Answer:
the linear approximation formula is based on the equation of the tangent line of a function at a fixed point. The linear approximation of a function f(x) at a fixed value x = a is given by L(x) = f(a) + f '(a) (x - a).
Step-by-step explanation:
In order to encode a message, James first replaces each letter in the message
by its corresponding number; let A = 1, B = 2, , Y = 25 and Z = 26. Then,
it multiplies each number by 3 and then subtracts 5. James continues this
process a total of n times. For example, when n = 2, the letter D is encoded by
the number 16. If James encoded a four-letter message with the four numbers
367 205 853 1339, what value of n did he use?
What is the mean of the following set of data? {1, 4, 7, 5, 3, 3, 5}
Answer:
the answer is below
Step-by-step explanation:
A. 4.0
B. 4.5
C. 3.5
D. 4.2
Answer:
4
it's not B or C or D so it has to be A
What’s the answer to this question
Answer: 6h + 4.5d + 10 = 61
Explanation: We know that peanuts cost 5 each, and they bought two. So, 10 dollars.
We don't know how many hotdogs or drinks they've bought so that will be our variable.
Hot dogs = 6$
Drinks = 4.5$
Total Price = 61
6h + 4.5d + 10 = 61
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Answer:
Atotal=60cm2
Step-by-step explanation:
A1=BH
=6cm*5cm
=30cm2
A2=1/2 BH
=1/2(12cm)(5cm)
=6cm*5cm
=30cm2
A1+A2=Atotal
30cm2+30cm2=Atotal
60cm2=Atotal
1+1=2 but why.... What is the explanation...
Answer:
Adding is basically counting. So 1+1 is basically counting two objects. There is 1 object and there is another. If you count them, then they are 2.
