Answer:
19.5
Step-by-step explanation:
Brad reads his favorite book for 1 1/4 hours each day. If he has read the book for 22 1/2 hours so far, how many days has he read it? Show how you know.
Answer:
18 days
Step-by-step explanation:
1 1/4 hours each day and 22 1/2 hours so far, so we divide 22 1/2 by 1 1/4
22 1/2÷ 1 1/4
=45 ÷ 5
2 ÷4
= 45 ×4
2 ×5
= 9×2
= 18
Which graph shows function f?
The graph of f(x) is the second one, so the correct option is B.
Which graph shows function f?Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.
You can see that the first domain of the function is:
x ≤ -4
So we must have a closed circle at x = -4, when the parabola ends.
The second domain is:
-4 < x < 1
So x here is not equal to -4 nor 1, so this part starts and ends with open circles.
finally, the linear part starts with a closed circle.
Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.
Then we can see that the correct option is the second graph.
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Question 2 (15 points )
Determine the scale factor from circle A to circle B.
O
Scale factor =
B
30
Thus, the scale factor from circle A to circle B is found to be 2.
Explain about the scale factor:The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.
You must first choose which direction we are scaling in order to determine the scale factor:
Scale Up = larger measurement / smaller measurement (smaller to larger).Smaller measurement equals greater measurement when scaling down.The radius of circle A = 2 units
The radius of circle B = 4 units.
So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.
Thus, the scale factor from circle A to circle B is found to be 2.
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Six more than seven times a number is thirty-four. Give equation and find
number (variable).
Answer: 4
Step-by-step explanation:
7n + 6 = 34
6 - 6 = 0
34 - 6 = 28
7n = 28
7/7
28/7 = 4
5. Select all expressions that are equivalent to 3^8.
A. 3^2x3^4
B. 3²x3^6
C. 3^16/3^2
D. 3^12/3^4
E. (3^4)²
F. (3¹)^7
The expressions that are equivalent to 3^8 are:
B 3²x3^6D. 3^12/3^4E. (3^4)²How to solve the expressionsWe have to solve these out
3^8. = 6561
From the options
A. 3^2x3^4
= 9 x 81
= 729
B 3²x3^6
= 9 x 729
= 6561
C. 3^16/3^2
= 43046721/9
= 4782969
d. 3^12/3^4
= 531441 / 81
= 6561
E. (3^4)²
= 3⁴ x 3⁴
= 3⁴⁺⁴
= 3⁸
= 6561
F. (3¹)^7
= 3⁷
= 2187
The expressions that are equivalent to 3^8 are:
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Please help with this onee!!
Answer:
below smallest to greatest:
Step-by-step explanation:
1) 1/4--> 3/8 --> 1/2
b) 4/9 --> 1/2 --> 2/3 -->5/6
c) 1/5--> 7/10 --> 3/4--> 4/5
Please explain as well 4x+3y=24 6x+5y=346x+5y=34 x= y=
Answer:
x = 9 y = -4
Step-by-step explanation:
4x + 3y = 24 . (-5) ------> -20x -15y = -120 (A)
6x + 5y = 34 . (3) -------> 18x + 15y = 102 (B)
(A) + (B) ----------> -2x = -18 ---------> x = 9
4.9 + 3y = 24
3y = 24 - 36
3y = -12
y = -4
What is 90% of 1,000,000?
you're welcome, and I hope this helps
please help me it is easy,
Answer:
i think id say it is 10.5 i might be wrong though
Step-by-step explanation:
Answer:
14 lemonade serving
Step-by-step explanation:
1½+3=4½
In 4 liters we get 12 ⅓serving of lemonade
In ½ we get 1 serving of lemonade from the ½ we remain with to ⅙liters so we still add that as a serving
Total =12+1+1=14
Lasalle Limited has two skill levels of production workers, I and II. A level I worker is paid
$10.60 per hour and produces 15 items per week. A level II worker is paid $14.25 per
hour and produces 22 items per week. The company is required to use at least 2600
employee hours per week, and it must produce at least 45,000 items per week. How
many hours per week should the company use each skill level to minimize labor costs?
The number of hours to operate the mines to minimize cost are Mine 1 hour = 26.5 hours and Mine 2 hour = 14.5 hours
What is minimizing cost?Cost minimization is the process of reducing expenditures on unnecessary or inefficient processes. These changes in spending can be slight or drastic, but any level of reduction in costs will likely have a dramatic effect on maximizing profits.
here, we have,
We have to determine the number of hours:
The given parameters can be represented using the following table of values
Mine 1 (x) Mine 2 (y) Available
Regular grade 6 18 420
Low grade 16 8 480
Operating cost 20500 10200
Time 55 36
From the table, we understand that we are to minimize cost
This means that:
Objective function: C = 20500x + 10200y
Subject to:
6x + 18y >= 420
16x + 8y >= 540
Next, we plot the constraints on a graph (see attachment)
From the graph, we have
(x, y) = (26.5, 14.5)
This means that
Mine 1 hour = 26.5 hours
Mine 2 hour = 14.5 hours
Hence, the number of hours to operate the mines to minimize cost are Mine 1 hour = 26.5 hours and Mine 2 hour = 14.5 hours
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please help me so love this problem?
Answer:
12.7 ==> distance of RS
24.2 ==> distance of RT
Step-by-step explanation:
Distance is always positive. So if you get a negative value, take the absolute value of the negative number:
For example, between point R and S:
-17.2 - (-4.5) =
-17.2 + 4.5 = ==> subtracting a negative number is equivalent to adding a
positive number
-(17.2 - 4.5) = -12.7
-12.7 ==> |-12.7| = 12.7 ==> distance of RS
For RT:
-17.2 - 7 =
-(17.2 + 7) = -24.2
-24.2 ==> |-24.2| = 24.2 ==> distance of RT
Horacio is solving the equation-3/4 + 2/5x = 7/20x -1/2. Which equation represents possible ways to begin solving for x?
The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2
Which equation represents possible ways to begin solving for x?From the question, we have the following parameters that can be used in our computation:
-3/4 + 2/5x = 7/20x -1/2
The first step is to collect the like terms
So, we have
2/5x - 7/20x = 3/4 - 1/2
This represents an equation of the possible way to begin solving for x
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1. 5 times a number decreased by 12 equals 62. What is the number?
Equation:
Solution:
2. One-half of a number is 8. What is the number?
Equation:
Solution:
help me please..tnx
the scientific notation, 170.04 is written as
Answer: 1.7004 × 10^2
Step-by-step explanation:
If x = 4 cm, what is the surface area of the geometric shape formed by this net?
A.
70 cm2
B.
30 cm2
C.
25 cm2
D.
96 cm2
Exponential and Logarithm Written AssignmentName__________________1. (5 points each part) Write an exponential equation and use logs to solve.a. The population of rabbits on a rabbit farm increases by 250% each year. Thefarm started its business with 12 rabbits. How long will it take the farm’s rabbitpopulation to grow to 250 rabbits?b. A lab currently has 70 mg of radioactive material that decays at 3.5% per year.Federal regulation for the substance says that the material must be safely storeduntil it reaches its half-life, at which time the material can be disposed. Howmany years will the lab have to safely store the material before disposal?2. (5 points) The size of the population, P, of toads t years after it is introduced in awetlands can be modeled by100011 492tP = + . How long does it take the toadpopulation to reach 750 toads?3. (5 points) Find the hydrogen concentration of tomatoes if its pH is 4.5.(Hint:pH H log += − )
a.
initial population = 12
Apply the formula:
P = p0 e^rt
Where:
P = 250
po= 12
r = growth rate = 250/100 = 2.5
t = time (years)
Replacing:
250 = 12 e^(2.5t)
250/12 = e^(2.5t)
20.84 = e^2 (2.5t)
Apply ln to both sides
ln 20.84 = ln e^2 (2.5t)
ln 20.84= (2.5t) ln e
ln 20.84 = 2.5 t
(ln 20.84)/2.5= t
t = 1.21 years
I NEED HELP!!!!
If, XYZ~EDF the measure of angle F is
Answer:
63°
Step-by-step explanation:
∠F is equal to ∠Z
Each circle is tangent to the other two.
If the diameter of the large circle is 12, what is the exact area of the shaded region?
The exact area of the shaded region is 9π.
We must first compute the area of the shaded zone and then calculate the radii of the circles in order to establish the precise size of the shaded region.
Given that the huge circle's diameter is 12, we know that its radius, which is 6, is equal to half of its diameter.
The center's of the three circles combine to form an equilateral triangle since each circle is tangent to the other two circles. The radius of the inscribed circle in an equilateral triangle is equal to one-third of the triangle's height. Consequently, each smaller circle's radius is 6/3, or 2.
Three sectors make up the shaded area, each of which has a Centre angle of 120 degrees (360 degrees divided by three). the region of
36π - 27π = 9π. Therefore, the exact area of the shaded region is 9π.
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at school 2 out of every 5 student in the 6th grade are members of the band. What will be the ratio of the number of 6th graders that are not members of the band
Answer:
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
How many tenths are in 8.32?
there are 3 tenths in 8.32
Answer:
3
Step-by-step explanation:
A tenth in decimals is right after the decimal point. Hundreths is to the right of that and thousandths to the right of that and etc. Whatever the number is there, thats how many tenths there are.
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Help me solve this please !! X^2+6x+y^2+8y=52
Question attached below.
Answer:
(2, -1, 1 )
Step-by-step explanation:
solution file attached
Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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which of the following are solutions to the quadratic equation check all that apply x ^ 2 + 10x + 25 = 2
Answer:
to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore
x^2 + 10x + 25 - 2 =2 - 2
therefore
x^2 + 10x +23 = 0
now since the equation cannot be factored, we use the formula.
x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)
where
a=1
b=10
c=23
note we use the coefficients only.
therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)
=\(\frac{-10-+\sqrt{100-92} }{2}\)
=\(\frac{-10-+\sqrt{8} }{2}\)
then we form two equations according to negative and positive symbols
x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)
therefore x = \(-5+\sqrt{2}\) or x=\(-5-\sqrt{2}\)
Jaime is setting up his tent. He is using two nylon ropes to pull the tent taut and stabilize it at each end. If the tent is 6.5 feet tall, and Jaime stakes the ropes into the ground 4 feet from the center of the tent, what is the total length of nylon rope he will use, to the nearest tenth of a foot? Show all of your work by writing out the steps you used to solve the problem or by using the drawing features in the space provided.
The total length of the nylon rope that Jamie will use would be 15.3 feet of nylon rope.
How to find the total length ?Within this scenario specifically, one side of the right-angled triangle comprises the height of the tent (standing at 6.5-feet), and the other forms as the measure from the center of the tent to where Jaime stakes the ropes stretching outwards in another direction (with a calculated measure of 4-feet). Subsequently, we will refer to the extent of the nylon rope as R.
The Pythagorean theorem formula is:
R ² = 6.5 ² + 4 ²
R ² = 42. ²25 + 16
R ² = 58.25
R = 7. 63 ft
There are two ropes so the length would be :
= 7. 63 + 7. 63
= 15. 3 ft
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Find the volume of the rectangular prism.
8 m
8 m
8 m
Answer:
Step-by-step explanation:
I believe that the volume of the rectangular prism is 512.
Explanation: V = whl = 8 · 8 · 8 = 512
V=Volume
W= Width
H= Height
L= Length
HELP PLSS
Find the difference: √20-√80
O -12,5
O-2√5
O2√5
O-2√15
DONE✔
Answer:
\( - 2 \sqrt{5} \)
Step-by-step explanation:
\( \sqrt{20} - \sqrt{80} \)
\(2 \sqrt{5} - 4 \sqrt{5} \)
\((2 - 4) \sqrt{5} \)
\( - 2 \sqrt{5} \)
What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?
4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6
Answer:
the correct answer is 6
Step-by-step explanation:
If u want to find the answer for this problem, u need to kcf(keep, change, and flip). Allow me to show u what im talking about
4/(8/12)
first i keep the four
then i change division to multiplication
4 x 8/12
then i flip 8/12
4 x 12/8
then solve
48/8
now the answer is 6
now if the question was the opposite way like 8/12 divided by 4, then it will be 1/6
Still, the answer is 6
hope it helps :)
Answer:
It is D
Step-by-step explanation:
I just finished the quiz and that is the answer that I got when I looked the answers
Tell me if I am wrong
Hope this helps:):):):)
I’ll give brainliest to whoever helps
Answer:
(1,4) (2,6) ,(3,8) and (4,10)
Step-by-step explanation:
Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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