Answer:
d = 1.46 m
Step-by-step explanation:
We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:
From the question given above,
F is inversely proportional to square of d. This can be written as:
F ∝ 1/d²
F = K/d²
Cross multiply
K = Fd²
But:
Force (F) = 0.006 N
Distance (d) = 4 m
Constant (K) =?
K = Fd²
K = 0.006 × 4²
K = 0.006 × 16
K = 0.096 Nm²
Therefore, the relationship between the force (F) and the distance (d) is:
F = K/d²
F = 0.096 / d²
Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:
Force (F) = 0.045 N
Constant (K) = 0.096 Nm²
Distance (d) =?
F = K/d²
0.045 = 0.096 / d²
Cross multiply
0.045 × d² = 0.096
Divide both side by 0.045
d² = 0.096 / 0.045
Take the square root of both side.
d = √(0.096 / 0.045)
d = 1.46 m.
person is scheduled to get arise of dollar 50 every 6 month in her 6 year on the job if starting salary os 1600 per month what is her annual salary at the end of 3rd year
Answer:
1900 dollars
Step-by-step explanation:
What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
Rachel has a bag containing 3 red marbles, 5 purple marbles, and 10 blue marbles.
What is the probability that she will pull a purple marble out of the bag? What is the
complement?
Answer:
5/18, 13/18
Step-by-step explanation:
The basic probability of anything is Specific Outcome / Total Outcomes
The specific outcome here is pulling a purple marble. We see there are 5 purple marbles therefore there are 5 ways to get them. The total outcomes are the total number of marbles which is 18. Therefore, the answer is 5/18
The complement of a probability is 1 minus the original probability, so, it would be 1 - 5/18 here getting us 13/18 as the answer.
Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $12,110?
Answer:
17
Step-by-step explanation:
Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. It takes 17 year for the value of the account to reach $12,110.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =P(1+r/n)^rt
Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. for the value of the account to reach $12,110 we need to find the time it takes.
The principal amount = $7,200
Rate = 3.1%
Compound Interest = [tex]P(1+r/n)^{rt}[/tex]
12,110 = [tex]7200(1+3.1/12)^{3.1t}[/tex]
t = 17
Thus, for the value of the account to reach $12,110 the time taken is 17.
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PLEASE HELP!! i'm writing a test and i have no idea how to do this. (I'm giving 30 points)
Answer:
12/y
Step-by-step explanation:
if you see in the picture the first three numbers 3,6 and 9 you add 3 in each number like 3+3=6 then 6=3 = 9 and 9 + 3 = 12 and so on. ( 45 also comes in this pattern )
have a wonderful day
I need help fast!! 7th grade math
Answer:
TU
Step-by-step explanation:
Imagine flipping the original trapezoid on its side and eyeballing which side of the now flipped trapezoid looks like the side CD.
1.5 ( x + 3 ) + 3.8 ( 7 x − 2 ) ?
Answer: 28.1x−3.1
Step-by-step explanation: 1.5(x+3)+3.8(7x−2)
=(1.5)(x)+(1.5)(3)+(3.8)(7x)+(3.8)(−2)
=1.5x+4.5+26.6x+−7.6
=(1.5x+26.6x)+(4.5+−7.6)
=28.1x+−3.1
=28.1x−3.1
Two busses go from Sacramento for San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 8.5 hours for the trip. The speed of the express bus is 15 mph faster than the speed of the local bus. Find the speed, in miles per hour, of both busses.
WHATS THE SLOPE INTERCEPT OF THE EQUATION OF THE LINE THAT PASSES THREW (1,6) AND HAS A SLOPE OF 5
Answer:
why man
Step-by-step explanation:
Answer:
y=5x+1
Explanation:
I suggest using webmath, its very helpful!
Help me asp please
Answer:
1) power is 8
3) power is 11
Answer:
31^8
1^11
count how many numbers there are then put ^ and the number then the number of the number at the end sorry for my bad explenation
Step-by-step explanation:
Which is not a true statement about the figures shown below
Answer:That is no thing shown below
Step-by-step explanation:
Answer:
I wish I could help you but you didn't attach a picture.
help middle school question!!!
Answer:
The shaded region has an area of 1400 square units
Step-by-step explanation:
Area of Compound Shapes
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units
Answer:
1400 square unit
Step-by-step explanation:
The table describes some of the solutions of the inequality 3> 21.which graph best describes the solution of 3m > 21
This is the correct answer
This inequality will be represented by an arrow starting from 7 and directed towards the right. Option 3 will be the correct answer.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given inequality is,
3m [tex]\geq[/tex] 21
To find the solutions to the given inequality solve this inequality first.
3m/3 [tex]\geq[/tex] 21/3
m [tex]\geq[/tex] 7
This inequality will be represented by an arrow starting from 7 and directed towards the right.
Since, inequality is having a sign notation of greater than equal to, the arrow will start with a dark circle located at 7.
Therefore, Option 3 will be the correct answer.
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what are the ordered pairs for 2x+y=-12
x²-11x+28 please answer
Given f(x)=-5x+2, find f(6)
A 10 metre ladder is leaning against the side of a building. If the bottom of the ladder is 3 metres
from the bottom of the building, find the angle of elevation the ladder makes with the building.
Answer:
10.4
Step-by-step explanation:
Trust me Sorry if wrong
HELP!!!
Find the length of side x in simplest radical form with a rational denominator.
Answer:
Step-by-step explanation:
Square root of 2
Example 5:
Alexa purchased a laptop for $ 1,283 and a printer for $689. How much did she pay for the Laptop and printer
before tax?
Choose all the common denominators for 1/4 and 7/10
Answer:
1 and 2
Step-by-step explanation:
4 and 10 are even and that means there is 2 in the group and one cause 1 fits into everything
The common denominators of the given fractions [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
The two fractions are given which are : [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] .
We know that the numerator is the top or upper value in a fraction whereas a denominator is lower or bottom value in a fraction.
Here , the denominators in both the fractions are 4 and 10 respectively.
To find out the common denominators for both the fractions , we need to calculate the common multiples of 4 and 10.
Multiples of 4 are :
4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44
Multiples of 10 are :
10 , 20 , 30 , 40 , 50
Common multiples are :
20 and 40
This meant , common denominators will be 20 and 40.
Therefore , the common denominators of the given fractions [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.
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Find the sum of the first 6 terms of the infinite series: 1 – 2 + 4 – 8 + . . .
Answer:
The sum of the first 6 terms of the inifinite series is -21.
Step-by-step explanation:
Following the sequence, we can see that each term is the previous term multiplied by -2. So, the first six terms are:
1, -2, 4, -8, 16, -32
The sum is:
1 - 2 + 4 - 8 + 16 - 32 = -1 - 4 - 16 = -21
The sum of the first 6 terms of the inifinite series is -21.
Answer:
-21
Step-by-step explanation:
Find the sum of the first 6 terms of the infinite series: 1 – 2 + 4 – 8 +
got it right on the test
find the value of x inscribed angles
Answer:
x = 84°
y = 96°
Step-by-step explanation:
By tangent secant theorem:
[tex]x = \frac{1}{2} \times 168 \degree \\ \\ x =84 \degree \\ \\y = \frac{1}{2} \times (360 - 168) \degree \\ \\ y = \frac{1}{2} \times 192 \degree \\ \\ y = 96 \degree [/tex]
Can you answer number 7 and number 8 and explain the process please and thank you
7 is A and 8 is B
7. 20 to < 30 is straight in the middle of the chart
8. the average is all the numbers added up then divided by the amount of numbers there were. In this case it added up to 125 then I divided it by 5, which is the amount of numbers, getting 25.
HAHAHAHAHAHAHAHAHAHA
Answer:
add my robl ox cupcakeboss40
Step-by-step explanation:
HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST!!!!
Which fraction represents the solution to -6/5 divided by (-3/25) in simplest form?
A.) -10
B.) -12/125
C.) 10
D.) 18/125
Answer:
C
Step-by-step explanation:
-6/5 ÷ -3/25
~Copy Dot Flip
-6/5 * -25/3
~Multiply
150/15
~Simplify
10
Best of Luck!
Answer: Your is answer is C.
Step-by-step explanation:
Divide (x3 - 1) by (x - 1)
9- 2 3/4 please hurry
Answer:
6 1/4
Step-by-step explanation:
Determine whether each statement about the solid is TRUE or FALSE.
1)?
2)?
3)?
4)?
Answer:
1.False(It is a cube)
2.True(Cubes have 6 faces)
3.False(Its base is a square)
4.False(It has 12 edges)
Step-by-step explanation:
I need help ASAP, marking brainliest. Please show work.
Answer:
WY = 28
Step-by-step explanation:
Using the pythagorean theorem, we can find out the measures of lenghts WX and YX individually.
VX^2 = VW^2 + WX^2
ZX^2 = ZX^2 + XY^2
Substitute
400 = 256 + WX^2
400 = 144 + XY^2
Simplify
WX^2 = 144
XY^2 = 256
WX = 12
XY = 16
WY = 28
El 28% de x es 98 como calculo lo que falta?
Answer:
350
Step-by-step explanation:
28% de x es 98
[tex] \frac{28}{100} x = 98 \\ \\ x = 98 \times \frac{100}{28} \\ \\ x = \frac{9800}{28} \\ \\ x = 350[/tex]
