Answer:
I inch = 25.4mm
Step-by-step explanation:
i inch =25.4mm
= 2.54×10^1
25.4 millimeters in scientific notation can be written as [tex]2.54 \times 10^1 \text {milimeters}[/tex]
The value "25.4 millimeters" must be expressed as a decimal number between 1 and 10, multiplied by a power of 10, in order to be written in scientific notation.
We may write the given number, 25, as follows:
[tex]2.54 \times 10^1[/tex]
In scientific notation, the decimal point is placed after the first non-zero digit, and in this case it is 2. The exponent 1 indicates that we move the decimal point one place to the right to get the original value.
Therefore, 25.4 millimeters in scientific notation is [tex]2.54 \times 10^1\text{millimeters }[/tex]
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Jessica has 1368 baseball cards Thomas has has 1633 who has more baseball cards
Total number of baseball cards Jessica has = 1368 cards.
Total number of baseball cards Thomas has = 1633 cards.
We need to find who has more baseball cards.
We can see 1633 is greater than 1368, because we have hundreds digit in 1633 is 6 and hundreds digit in 1368 is 3.
6 is greater than 3. Therefore 1633 is greater than 1368.
And finally we could say Thomas has more baseball cards than Jessica has.Answer:Thomas
Step-by-step explanation:
1633 > 1368
Linda spent 3/4 of her saving on furniture and the rest on a tv.If the tv cost her $200,what were her original savings .
Let x represent the amount of savings
[tex]\frac{3}{4}[/tex] of savings minus tv equals zero
[tex]\frac{3}{4}x[/tex] - 200 = 0
[tex]\frac{3}{4}x[/tex] = 200
3x = 4(200)
[tex]x = \frac{4(200)}{3}[/tex]
x = 266.67
Answer: $266.67
Find a common solution for the system of equations given below:
-1/4x+y=-2
-x+4y=-8
[tex]\left\{\begin{array}{ccc}-\dfrac{1}{4}x+y=-2&|\cdot4\\-x+4y=-8\end{array}\right\\\\\left\{\begin{array}{ccc}-x+4y=-8\\-x+4y=-8\end{array}\right\\\\-x+4y=-8\ \ \ \ |+x\\4y=x-8\ \ \ \ |:4\\y=\dfrac{1}{4}x+2\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\\\y=\dfrac{1}{4}x+2\end{array}\right[/tex]
Austin began a repiping job with 26 yards, 2 feet, 5 inches of pipe. When he finished the job, he had 13 yards, 2 feet, 7 inches. How much pipe did he use for the repiping job? Convert the answer to larger units whenever possible.
Answer:
He used 12.944... yards of pipe for the repiping job.
Step-by-step explanation:
We know that, 1 yard = 3 feet and 1 feet = 12 inches.
That means, 1 yard = (3×12) inches = 36 inches.
So, 1 feet = [tex]\frac{1}{3}[/tex] yard and 1 inch = [tex]\frac{1}{36}[/tex] yard.
Thus, 26 yards, 2 feet and 5 inches [tex]=(26+\frac{2}{3}+\frac{5}{36}) yards = 26.805... yards[/tex]
and 13 yards, 2 feet and 7 inches [tex]=(13+\frac{2}{3}+\frac{7}{36}) yards = 13.861... yards[/tex]
So Austin began a repiping job with 26.805... yards of pipe and when he finshed the job, he had 13.861... yards.
So, the length of the pipe he used for the repiping job will be: [tex](26.805...-13.861...) yards = 12.944... yards[/tex]
12 yards, 2 feet, 10 inches
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
_____
The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
Answer:
Step-by-step explanation:
You have to start by making a small chart of what is happening at what time.
x 0 4 8
y 16 6 16
Essentially this is a cosine function.
Now you need to fill in some of the details. The key is what is happening at x = 4 seconds? At that time, you must add a minus amount in the cosine function to the amplitude to get 6. The only way to do that is if you have
y = 5* cos( (x/4)*pi) + 11
y = 5*cos( (4/4)*pi) + 11
y = 5 * cos(pi) + 11
y = 5 * (-1) + 11
y = -5 + 11 = 6
==================
x = 0
y = 5* cos( (pi/4)*0 ) + 11
y = 5 * cos(0) + 11
y = 5 (1) + 11
y = 16
===================
x = 8 seconds
y = 5*cos(8/4)*pi) + 11
y = 5*cos(2*pi) + 11
y = 5 * (1) + 11
y = 16
==================
The question is where did the 11 come from?
The Ferris wheel has a diameter of 10 feet and a radius of 5
The high and low points are 16 and 6.
The center of the Ferris wheel is between 16 and 6. Between in this case means average.
(16 + 6)/2 = 22/2 = 11
Complete the explanation of what happens when you round 4.975 to the nearest tenth.
since they're is a ____ in the hundredths place, the number in the tenths place will be__
Since 9+1=10 a ____ will go in the tenths place and ___ will be added to the 4 in the ones place making the answer ____
To round 4.975 to the nearest tenth, since the hundredths place has a 7, you round up, leading the tenths place (9) to increase by 1, turning into a 0, and the ones place (4) to also increase by 1, resulting in 5.0 as the answer.
When you round 4.975 to the nearest tenth, since there is a '7' in the hundredths place, the number in the tenths place will be affected by rounding rules. According to the standard rules for rounding numbers, if the first dropped digit is 5 or higher, you round up. Since 7 is greater than 5, you add 1 to the tenths place. Therefore, 9 in the tenths place plus 1 equals 10, which means a '0' will go in the tenths place and an additional '1' will be added to the 4 in the ones place, making the rounded number 5.0.
How many square units are in an office that is 18 units by 8 units?
18x8 is 144
The answer is 144 units^Squared
An up-and-coming band has seen a 50% monthly increase in the the number of audience members at their concerts. At the band's first concert, there were 40 people in the audience. If this trend continues, which of the following graphs represents the number of audience members, y, after x months?
We are given that initially there were 40 people in the audience.
And an up-and-coming band has seen a 50% monthly increase in the the number of audience members at their concerts.
The number of audience members is represented by y variable and
Number of months is represented by x variable.
So, the exponential function would be
y= a(b)^x
Where a is the initial value, b is the growth factors.
a= 40 and b= 1+ 0.50 = 1.50.
Therefore,
y= 40(1.50)^x is the exponential function situation.
Let us check some point on the graph.
If we plug x=0, we get initial value 40.
If we pug x=2, we get
y=40(1.50)^2 = 40(2.25) = 90.
Graph C represents y=40 at x=0 and y=90 at x=2.
Therefore, correct option is C option.If you're on Plato the answer would be C
Help plz I WILL MARK BRAINLYST
The median is 6. I hope this helps you out.
The Answer would be 5.5 because it splits between 6 and 5 and the median would be 5.5.
I'm so confused please help
I'm confused too and I'm supposed to be an expert. I'm not entirely sure what frequency density is. We'll just treat this as a histogram.
Let's assume each five minute interval gives a value equal to or proportional to the number of people that finished in that interval.
From 0 to 50 we have 10 intervals; let's just make this into a table
0-5 0
5-10 40
10-15 40
15-20 30
20-25 30
25-30 25
30-35 25
35-40 25
40-45 25
45-50 15
From 0 to 40 that adds up to
0+40+40+30+30+25+25+25 = 215
From 0 to 50 that's
215+25+15 = 255
The fraction less than 40 is 215/255 = 43/51 ≈ .843
Answer: 84.3%
Answer:
84.3%
Step-by-step explanation:
Total frequency is the total area:
Add all the areas
To find each area:
Frequency density × class width
Total frequency:
40×10 + 30×10 + 25×20 + 15×5
= 1275
Less than 40:
Bar 1 + Bar 2 + some part of Bar 3
40×10 + 30×10 + 25×15
= 1075
Percentage (<40) = 1075/1275 × 100
= 4300/51
= 84.31372549%
In the great flood of 1993, the Mississippi River was so high that it caused the Illinois River to flow backward. If the Illinois River flowed at the rate of -1500 feet per hour, how far would the water travel in 48 hours?
If (3,5) is a point on the graph of the function f, then which of the following points must be on the graph of the inverse function f (-1) ?
If (3,5) is a point on the graph of the function f, then (-1, 5) must be on the graph of the inverse function f-1.
To find the point that must be on the graph of the inverse function, we need to find the inverse of the given function first. Let's assume the given function is f(x) = y.
To find the inverse of f(x), we swap the x and y variables and solve for y. In this case, we have x = 3 and y = 5, so the inverse function is f-1(x) = (5, 3).
Therefore, the point (-1, 5) must be on the graph of the inverse function f-1.
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HELP!!
What is m∠PTS?
<PTS = <RTQ (vertical angles are equal)
11(y - 10) = 4y - 5
11y - 110 = 4y - 5
7y = 105
y = 15
so
<PTS = 11(15 - 10) = 11(5) = 55
Answer
<PTS = 55°
Please help asap 30 pts
629g < box + cereal < 633g
629g - 5g = 624g
633g - 5g = 628g
Answer: a. 624 < x < 628
12 minutes to drive 30 laps and 48 minutes to drive 120 laps are they equivalent
30/12=in 1 min you drive 2.5lap
120/48=in 1 min you drive 2.5lap
yes they are equivalant
If they are equivalent, you should be able to cross multiply and get a true statement.
12/30 = 48/120
12(120) = 30(48)
1440 = 1440
This is a true statement, therefore they ARE equivalent.
Which values are possible rational roots of 4x3+9x2−x+10=0 according to the rational root theorem? Select each correct answer. ±12 ±2 ±52 ±25
ANSWER
The possible rational roots are:
[tex]\pm\frac{1}{2},\pm2,\pm \frac{5}{2}[/tex]
EXPLANATION
According to the rational root theorem, the possible rational roots of the polynomial,
[tex]4x^3+9x^2-x+10=0[/tex]
are all the possible factors of the constant term divided by all the possible factors of the coefficient of the highest degree of the polynomial.
Therefore we examine the numerator and denominator of the options provided to see if they are factors of 10 and 4 respectively.
For
[tex]\pm\frac{1}{2}[/tex], we can see that 1 is a factor of 10 and 2 is a factor of 4, hence it is a possible rational root.
The same thing applies to [tex]\pm2,\pm \frac{5}{2}[/tex] also.
As for
[tex]\pm \frac{2}{5}[/tex], 2 is a factor of 10 but 5 is not a factor of 2, hence it is not a possible rational root.
The values of the possible rational roots of 4x³ + 9x² - x + 10 = 0 among the options are;
±½, ±2, ±5/2
The rational root theorem states that if a polynomial has any rational roots, then the rational roots must be of the form;
±(factors of the coefficient of the constant term/factors of coefficient of the term with the highest degree)
Now, the polynomial we are given is;4x³ + 9x² - x + 10 = 0
The constant term here is 10 and it has factors as; 1, 2, 5, 10The coefficient of term with the highest degree here is 4 and it's factors are; 1, 2, 4.Thus, the rational roots could be;
±(½, 2, 5/2, 5)
Looking at the options, the only correct possible rational roots are;
±½, ±2, ±5/2
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Here is an addition sentence.
7 + 4 = 11
Choose the related addition sentence that shows the commutative property of addition..
A.
4 + 7 = 11
B.
11 – 4 = 7
C.
11 = 7 + 4
D.
8 + 3 = 11
For this case, we have the expression given by:
[tex]a + b = c\\[/tex]
This expression turns out to be generic.
The commutative property of the addition states that the order of the addends does not alter the sum. Thus it is concluded that the previous expression above can be written as:
[tex]b + a = c\\[/tex]
In this way [tex]7 + 4 = 11[/tex], applying the commutative property of the addition, it can be written as:
[tex]4 + 7 = 11\\[/tex]
Answer:
Option A
Yolanda says 105 is the same as 50 because 10x5 equals 50. What was yolanda's mistake
Answer: Yolanda's mistake is that she is assuming 105 is same as 10 x 5 .
Explanation:Here 105 represents a three digit number where 1 is at hundreds place,0 is at tens place and 5 is at once place and it can be written as the product of its factors 5 and 21 i.e 105=5×21 =21+21+21+21+21+21=105(by adding once place and tens place), where as 10×5 represents 5 times number 10 i.e.10+10+10+10+10=50(by adding once place and tens place)
So ,assuming 105 is same as 10 x 5 is her mistake.
What are the first four terms of the sequence shown below?
an = 2^n
A.
1, 2, 4, 8
B.
2, 4, 6, 8
C.
2, 4, 8, 16
D.
1, 8, 27, 256
[tex]a_n=2^n\\\\a_1=2^1=2\\\\a_2=2^2=4\\\\a_3=2^3=8\\\\a_4=2^4=16\\\\Answer:\ C.\ \{2,\ 4,\ 8,\ 16\}[/tex]
Alejandro needs to buy bird seed from the local pet store for his parrots. A
10
lb. bag of bird seed costs
$12.55.
The pet store also sells loose bird seed for
$1.49
per pound. The sales tax is already included in these prices. Alejandro wants to buy a
10
lb. bag of bird seed and some loose bird seed. If he has
$20,
how many pounds of loose bird seed can he buy after purchasing the
10
lb. bag?
First take note he only has $20 and the bag he must buy is $12.55. Also the loose seeds are $1.49 per pound.
To solve subtract 12.55 from 20
20-12.55=7.45
So after buying the 10 lb bag he has $7.45 left now divide that by 1.49
7.45/1.49=5
So after buying the 10 lb bag he can also buy 5 lb of the loose seeds!
Write an equation of the line in point-slope form that passes through the two given points: (-17,8), (3,-2)
Answer:
y+2 = (-1/2)(x-3)
Step-by-step explanation:
Note that as we move from (-17,8) to (3,-2), x increases by 20 and y decreases by 10. Thus, the slope of this line is m = -10/20, or m = -1/2.
The standard equation in point-slope form is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line. Then, taking data from the point (3, -2), we have
y+2 = (-1/2)(x-3).
Check: Does the point (-17,8) satisfy this equation? Is 8+2 = (-1/2)(-17-3) true?
Is 10 = 10 true? Yes.
Answer:
y+2 = (-1/2)(x-3)
Step-by-step explanation:
Which points are collinear with points A and B ?
The collinear points with A and B are:
- A, B, R
- B, D, T
- C, D, U
- B, S, G (where G is the centroid of AEDC).
In the given pyramid BAEDC, the collinear points with points A and B are determined by the midpoints and the line coming from B.
1. Midpoint of BA is R:
- Points A, B, and R are collinear.
2. Midpoint of BD is T:
- Points B, D, and T are collinear.
3. Midpoint of CD is U:
- Points C, D, and U are collinear.
4. Line coming from B meets at S, the midpoint of AEDC:
- Points A, E, D, C, and B are vertices of the pyramid, and S is the midpoint of the line segment connecting B to the centroid of the base AEDC.
- Therefore, points B, S, and the centroid (G) of AEDC are collinear.
In summary, the collinear points with A and B are:
- A, B, R
- B, D, T
- C, D, U
- B, S, G (where G is the centroid of AEDC).
Luna into a rifle for a new pair of running shoes. She purchased 20 tickets and she told that she had 20% chance of winning. How many tickets were sold?
Answer:
4 tickets were sold
Step-by-step explanation:if you have 100 of anything. 5 sets of 20=100
Answer:
Answer: x = 100
Step-by-step explanation:
(20)(x) = (5)(x) = 20/5 = 5x/5 = 100
I just answered and got it correct.
Justin's football team has a phone tree in case a game is cancelled. The coach calls two players. Then each of those players calls 2 players, and so on. How many players will be notified during the 2nd round of calls?
2/3 = 26.
Show work please. I alr know the answer but my teacher want work showed
[tex]\dfrac{2}{3}x=26\\\\x=26\div \dfrac{2}{3}=26\cdot\dfrac{3}{2}=39[/tex]
Jay needs 19 quarts more paint for the outside of his barn than for the inside.If he uses 107 quarts in all,how many gallons of paint will be used to paint the inside of the barn?
A cylinder has a volume of 628 cubic inches and a radius of 10 inches. What is the height of the cylinder
Answer:
Height of cylinder = 2 inches
Explanation:
If a cylinder has a base radius r and height h, the volume of cylinder is given by the expression, Volume V = πr²h.
Here given that volume of cylinder = 628 cubic inches = 628 inch³
Radius of base circle = 10 inch.
Substituting in the volume of cylinder equation
628 = π x 10² x h
[tex]h= \frac{628}{\pi *10^2} \\ \\ h=2.00 inches[/tex]
So , height of cylinder = 2 inches
Mr ramos thumb measures 4 cm.. Express the length in meters
A store owner buys cell phones for $40 and a mark up the price by 25% explain how to find the price at which she sells the cell phone
The following function represents an arithmetic sequence.
f(n)=4n−2
What is f(10)?
Enter your answer as a number, like this: 42/53