Use the drop-down menus to complete each statement to show why 5sqrt(7) is between 10 and 15.
Answer:
First drop down: √4 and √9
Second drop down: 2 and 3
Third drop down: 10 and 15
Step-by-step explanation:
the root of four is 2
the root of nine is 3
thus √ 7 is between 2 and 3
5√7 is between 10 and 15 because 2x5 is 10 and 3x5 is 15.
Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home. The expression −2t + 10 gives the distance, in miles, that Lauren is from her home after t hours. Answer the following questions using the information above.
a. How many miles away from her house did Lauren start?
b. How fast is Lauren moving towards her house?
c. Why is the rate negative?
d. How far away from her house is Lauren after 4 hours?
a.
Lauren was 10 miles away from her house when he started.
Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.
So, with t = 0, d = -2t + 10
= -2(0) + 10
= 0 + 10
= 10 miles.
So, Lauren was 10 miles away from her house when he started.
b.
Lauren was moving at a rate of -2 mph towards her house.
To find how fast Lauren was moving towards her house, we differentiate d with respect to t.
So, dd/dt = d(-2t + 10)/dt
= d(-2t)/dt + d(10)/dt
= -2 + 0
= -2 mph
So, Lauren was moving at a rate of -2 mph towards her house.
c.
The rate is negative because her distance towards her house is decreasing
The rate is negative because her distance towards her house is decreasing since she is moving towards her house.
d.
Lauren is 2 miles away from her house after 4 hours
To find this, we input t = 4 into the equation for d.
So, d = -2t + 10
= -2(4) + 10
= -8 + 10
= 2 miles.
So, Lauren is 2 miles away from her house after 4 hours
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2000 tennis balls are divided into packs of 3 how many more tennis balls are needed to make another full pack
Answer:
664
Step-by-step explanation:
666 balls to make a full pack
666x3=1998
6000-1998=2
666-2=664
Activity 1: Directions: Convert the following to the indicated unit of measures. 1. 4 gal. = _________quarts 2. 1,400 feet = ______miles 3. 16 hours = _______ min 4. 16 cups = ______pints 5. 1.6 miles = _______ yards
The conversion of the following values to their desired units are as follows:
4 gal = 16 quarts1400 feet = 0.2651516 miles 16 hours = 960 mins16 cups = 8 pints1.6 miles = 2816 yardsThe dimension analysis shows the relation of different physical quantities by converting them from one unit to another.
According to the standard conversion rates:
1 gallon (gal) = 4 quarts1 foot = 0.000189394 mile1 hour = 60 minutes1 cup = 0.5 pints1 mile = 1760 yards∴
1.4 gallons will be:
= (4 gal × 4 quarts)/1 gal
= 16 quarts
2.
1400 feet will be:
= (1400 foot × 0.000189394 miles)/ 1 foot
= 0.2651516 miles
3.16 hours will be:
= (16 hours × 60 mins)/ 1 hour
= 960 mins
4.
16 cups will be:
= (16 cups × 0.5 pints)/1 cup
= 8 pints
5.1.6 miles will be:
= (1.6 miles × 1760 yards)/ 1 mile
= 2816 yards
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Write the prime factorization of 26.
Answer:
The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.
Step-by-step explanation:
Answer:
2 and 13
Step-by-step explanation:
First, we can see that the last digit of
26
is even, and thus
26
is divisible by
2
. If we divide by
2
, we find
26
2
=
13
. As
13
is a prime number, there are no further prime factors of
26
, and so the prime factorization of
26
is
2
×
13
.
100 points! show work or else i report
A certain microwave requires 1200 watts. How much would it cost to run the microwave for a total of 30 minutes (defrosting chicken) at a cost of $0.20 per kilowatt hour?
[tex]\boxed{\sf E=Pt}[/tex]
E is energy
P is power
t is time in hours
E=1200(0.5h)E=600WhE=0.6KwhCost
0.6(0.2)$0.12Answer:
$0.12
Step-by-step explanation:
Conversions
1000 watts = 1 kilowatt-hour
⇒ 1200 watts = 1.2 kilowatt-hour
60 minutes = 1 hour
⇒ 30 minutes = 0.5 hour
A microwave requiring 1200 watts will use 1.2 kilowatts per hour.
If the microwave is used for a total of 30 minutes, it will use:
⇒ 1.2 × 0.5 = 0.6 kWh
If the cost is $0.20 per kWh, the cost of running the 1200 watt microwave for 30 minutes is:
⇒ 0.6 × $0.20 = $0.12
1. How do you know if you should multiply or divide when converting measurements?
Step-by-step explanation:
when using similar processes to converting from smaller to large units. When converting a large unit to a smaller one, you can multiply;when you convert a smaller unit to large one, you can divide.
HELP ASAP ILL GIVE BRAINLIEST
Answer:
y=−2x−10
Step-by-step explanation:
What Value of N makes the equation true?
Can someone please walk me through these 2 problems? I'm using the formula that the problem states but I have to be going wrong somewhere because all of my answers have been incorrect. The correct answers are below, but I have no idea how to get to them.
35: -13 - 34j volts
37: 28 + 57j volts
[tex]\boxed{35}~~ \begin{cases} I=2-7j\\ Z=4-3j \end{cases}\implies E=(2-7j)(4-3j) \\\\\\ \begin{array}{rllll} 4-3j\\ \times ~\hfill 2\\[-0.5em] \hrulefill\\ 8-6j \end{array}~~+ ~~ \begin{array}{rllll} 4-3j\\ \times ~\hfill -7j\\[-0.5em] \hrulefill\\ -28j+21j^2 \end{array}\qquad \implies 8-6j-28j+21j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=21j^2-34j+8~\hfill[/tex]
[tex]\boxed{36}~~ \begin{cases} I=3+10j\\ Z=6-j \end{cases}\implies E=(3+10j)(6-j) \\\\\\ \begin{array}{rllll} 6-j\\ \times ~\hfill 3\\[-0.5em] \hrulefill\\ 18-3j \end{array}~~+ ~~ \begin{array}{rllll} 6-j\\ \times ~\hfill 10j\\[-0.5em] \hrulefill\\ 60j-10j^2 \end{array}\qquad \implies 18-3j+60j-10j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=-10j^2+57j+18~\hfill[/tex]
A proportional relationship is shown in the table below
X 0 .3 .6 .9 1.2
Y 0 1 2 3 4
HURRY!
Which of the following is a geometric sequence?
1, 2, 4, 6, 8, 10, ..
-1, 0, 1, 2, 3, ...
2, -2, 2, -2, 2, -2, ...
5, 3, 1, -1, -3, ...
Answer:
C
Step-by-step explanation:
In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.
A.
1, 2, 4, 6, 8, 10, ...
2/1 = 2
4/2 = 2
It looks like the common ratio is 2, but try the next division: 6/4 = 3/2
It is not 2, so there is no common ratio, and this is not a geometric sequence.
B.
-1, 0, 1, 2, 3, ...
0/-1 = 0
1/0 = undefined
There is no common ratio.
C.
-2/2 = -1
2/(-2) = -1
-2/2 = -1
The common ratio is -1.
This is a geometric sequence.
D.
3/5 = 3/5
1/3 = 1/3
No common ratio.
Answer: C
A moving company charges $450 plus $12 per hour. Another moving company charges $21 per hour. How long is the job that costs the same no matter which moving company is used?
Answer:
50 hours
Step-by-step explanation:
Help help help please math please
Help me with questions please
Answer:
530.93 OR 530.9
Step-by-step explanation:
Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]
So now we multiply 13 squared or 13 x 13 which equals 169
Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give us our answer.
530.93
530.9
The scatterplot shows the heights and arm spans of 12 girls on a basketball
team. The line of best fit for the scatterplot is y = x + 2. What is the predicted
arm span for a girl who is 61 inches tall?
72
70
68
Arm span (inches)
66
60
60 62 64 66 68 70 72
Height (inches)
Answer:63
Step-by-step explanation:
Took the test
Using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.
What is the Line of Best Fit?The line of best fit for a scatter plot is modelled as y = mx = 2, where m is the slope and b is the initial value.
Given the equation of the line of best fit as, y = x + 2, to find the predicted arm span, y, for a girl who is 61 in. tall (x), substitute x = 61 into y = x = 2.
y = 61 + 2
y = 63
Therefore, using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.
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Who could help me out on these questions there is a store to it ! Asap pleaseee
Please please help !
Answer:
Unsure but it might be -8/3
Step-by-step explanation:
Lillian misses 10% of the free throws she attempts in a season. How many total free
throws did she attempt if she missed 51
help fast
Answer:
510
Step-by-step explanation:
10/100 = 51
10*10/100 = 51*10
100/100 = 510
Please help me ASAP
Step-by-step explanation:
a= 3×(-2)+3=-6+3=3
b=3×(-1)+3=-3+3=0
c=3×1+3=3+3=6
d=2×3+3=6+3=9
-------------------------
a=3, b=0, c=6, d=9
Good work!
7k -2(k+4) What is this answer?
5−8
llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?
Answer:
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial.
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
When cubes are added or subtracted, they can be expressed using the following
What is the equation of this graphed line?
Enter your answer in slope-intercept form
Answer:
Step-by-step explanation:
slope m = Δy/Δx = (6 - (-6)) / (2 - (-4)) = 12/6 = 2
b is the y intercept when x = 0.
b = 2
y = 2x + 2
A BIOCHEMICAL RESEARCH COMPANY PRODUCES 50% OF ITS INSULIN AT A PLANT IN KANSAS CITY, AND THE REMAINDER IS PRODUCED AT A PLANT IN JEFFERSON CITY. QUALITY CONTROL HAS SHOWN THAT.5% OF THE INSULIN PRODUCED AT THE PLANT IN KANSAS CITY IS DEFECTIVE, WHILE 1.35% OF THE INSULIN PRODUCED AT THE PLANT IN JEFFERSON CITY IS DEFECTIVE. WHAT IS THE PROBABILITY THAT A RANDOMLY CHOSEN UNIT OF INSULIN CAME FROM THE PLANT IN JEFFERSON CITY GIVEN THAT IT IS DEFECTIVE?
The probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.
Given that a biochemical research company produces 50% of its insulin in Kansas and the rest in Jefferson, and 0.5% of Kansas's insulin is defective, while 1.35% of Jefferson's also is defective, to determine what is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective, the following calculation must be performed:
0.5 + 1.35 = 1.85 1.85 = 100 1.35 = X 1.35 x 100 / 1.85 = X 72.97 = X
Therefore, the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.
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Maria finds a local gym that advertises 44 training sessions for $1393. Find the cost of 136 training sessions.
Answer:
$4305.60
Step-by-step explanation:
1393 divided by 44 = 31.6590909
that's how much for one training session
so to find the pay for 136 sessions you need to do 31.6590909 x 136
which is 4305.63636
if you round that, you get $4305.60
help on theses two pls I appreciate it here is 50 points , reporting if you write anything and not writing the answer .
Answer: hi , b other one b too
Answer:
19) b
20) b
Step-by-step explanation:
Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
A. 25
B. 30
C. 75
D. 83
Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times
Step-by-step explanation: Please mark brainliest
Answer:
75 -- i think
Step-by-step explanation:
let me know if im right.
When four times a number is decreased by 9, the result is 19. What is the number?
Answer:
7
Step-by-step explanation:
Working backwards:
19 + 9 = 28
28/ 4 = 7
Checking work:
7 x 4 = 28
28 - 9 = 19
Original price of shorts $53.95 Discount 30% Tax 4.5? Please help what’s the correct answer ???
PLEASE HELPPPP MEEEEE
Answer:
With discount : $37.76
With tax : $56.38
With both : $40.19
Step-by-step explanation:
Hope this helps
i need help on this math problem
Answer:
[tex]\sqrt{81}[/tex] = 9
[tex]\sqrt{169}[/tex] = 13
Step-by-step explanation: