Work done = force applied * distance covered
Force = mass * acceleration
Therefore, Work done = mass * acceleration * distance covered
Parameters:
mass = 6kg
acceleration = 9.8m/s2
distance = 3m
Substitution:
Work done = 6 * 9.8 * 3
Work done = 176.4J (to 1 decimal place)
1. At her new job Mary earns $100 more than twice the salary she earned as a college intern.
If she now earns $2100, how much did she earn as an intern?
Answer:
$1000
Step-by-step explanation:
Inverse operation
2100-100=2000
2000/2=1000
Sorry if its wrong but hope this helpssss
Please answer and explain
Answer:
Step-by-step explanation:
(fog)(x) = f[g(x)]
(fog)(x) = f[(4/x - 5)]
(fog)(x) = 1 / ((4/x - 5) - 9)
(fog)(x) = 1 / (4/x - 14)
(gof)(x) = g[f(x)]
(gof)(x) = g[1/(x - 9)]
(gof)(x) = (4/ 1/(x - 9)) - 5
(gof)(x) = (4•(x - 9)/1) - 5
(gof)(x) = (4x - 36) - 5
(gof)(x) = 4x - 41
A man walks for 2 hours at a certain speed. He then cycles at three times that speed for 4 hours. He goes 77 km altogether. Find the speed at which he walks.
The speed at which he walks is 7.7km/hr
The formula for calculating the distance is expressed as;
distance = speed * time
Let the speed moved by the man be x
If the man walks for 2 hours at a certain speed, his distance will be 2x km
If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr
If he goes 77km altogether, hence;
2x + 4(2x) = 77
2x + 8x = 77
10x = 77
x = 77/10
x =7.7km/hr
Hence the speed at which he walks is 7.7km/hr
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Round 61.373737842 to the nearest ten-millionth
Answer:
61.3737378
Step-by-step explanation:
First find the ten millionth digit, and the digit after it.
The digit "8", the seventh digit to the right of the decimal point is the ten millionth digit.
As the digit after "8" is 4, which is less than 5, so simply round the digit "4" down.
Thus the answer is 61.3737378
is 6 x 8 4 x 12 equal or not equal
Answer:
both is 48
Step-by-step explanation:
Question: Assume you have a balance of $1000 on a credit card with an APR of 12%, or 1% per month. You start making monthly payments
of $200, but at the same time you charge an additional $100 per month to the credit card. Assume that interest for a given month is based on
the balance for the previous month. The following table shows how you can calculate your monthly balance. Complete and extend the table to
show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit carddebt?
nts
Fill out the table row by row and continue until the last full payment. Round to the nearest cent as needed.
Month
Payment
Expenses
Interest
New Balance
a
urces
0
---
$1000
es
1
$200
$100
$10
$910
4/7
fing
2
$200
$100
ection
3
$200
$100
4
$200
$100
1. The extension of the table to show the month-end balances until full debt settlement is as follows:
Month Payment Expenses Interest New Balance
0 $0 $0 $0 $1,000
1 $200 $100 $10 $910 ($1,000 - $200 + $100 +$10)
2 $200 $100 $9.10 $819.10 ($910 - $200 + $100 + $9.10)
3 $200 $100 $8.19 $727.29 ($819.10-$200+$100+$8.19)
4 $200 $100 $7.27 $634.56 ($727.29-$200+$100+$7.27)
5 $200 $100 $6.35 $540.91 ($634.56-$200+$100+$6.35)
6 $200 $100 $5.41 $446.32 ($540.91-$200+$100+$5.41)
7 $200 $100 $4.46 $350.78 ($446.32-$200+$100+$4.46)
8 $200 $100 $3.51 $254.29 ($350.78-$200+$100+$3.51)
9 $200 $100 $2.54 $156.83 ($254.29-$200+$100+$2.54)
10 $200 $100 $1.57 $58.40 ($156.83-$200+$100+$1.57)
11 $200 $100 $0.58 ($41.02) ($58.40-$200+$100+$0.58)
Data and Calculations:
Credit card balance = $1,000
APR = 12%
Monthly APR = 1%
Monthly payments = $200
Monthly charge = $100
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A boat is moored at a dock, as shown in the figure.
What is the length of rope A?
Note: The triangle formed is a right triangle.
8.3 ft
10.5 ft
12.3 ft
8.6 ft
Answer:
12.3
Step-by-step explanation:
i took the quiz
A. What is the formula for exponential growth?
B. What does each variable mean?
Please someone help!!! It’s for my final pleaseee!!!
Answer:
A. exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. ... r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.
Find the equation for the linear function based upon this table. y = mx + b
y -6 -2 2 6 10
x -4 -2 0 2 4
Answer:
y = 2x + 2
Step-by-step explanation:
for each rise of 4 in y
there is a run of 2 in x
m = rise/run
m = 4/2
m = 2
when x = 0, y = 2
therefor the y-intercept, b = 2
y = mx + b
y = 2x + 2
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon
it is a polygon and it would be a decagon since there are 10 sides
Answer:
It is a polygon, hexagon.
Step-by-step explanation:
Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 7, b = 7, C =
Answer:
C (Hypotenuse) = 9.9
Step-by-step explanation:
Given the two sides of a triangle, where a = 7, and b = 7:
We can use the Pythagorean Theorem where it states: c² = a² + b².
Substitute the given values into the Pythagorean Theorem to find the length of the hypotenuse.
c² = a² + b²
c² = 7² + 7²
c² = 49 + 49
c² = 98
[tex]\LARGE\mathsf{\sqrt{c^2}\:=\:\sqrt{98}}[/tex]
c = 9.89 or 9.9
Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.
Simplify 7x + [x - (5 + x)].
O 7x - 5
O8X-5
9x - 5
Answer:
7x-5
Step-by-step explanation:
Which of the diagrams shows an exponential graph?
Answer:
Diagram "C"
Step-by-step explanation:
The curve eventually shows that it is an exponentially graph
What is one website you can visit in order to request free credit report from any of the three bureaus?
Answer: annualcreditreport.com
Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228
a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?
Answer:
7feet I hope this help you.
Choose all options that apply.
Hey there!
Guide ⬇️
• Cup: is a cooking measurement for volume, it very much common in sizes & cooking things.
• Tablespoon: a abundant (huge) sized spoon that’s used for serving.
• Liter: is the limitation of volume that is held which is balanced (equal to) to ONE cubic decimeter.
• Fluid ounce: is basically unit space that is held at 1/16th of a US pint.
Based on that information the one that seems closer to the RIGHT answer is:
[Option A. Cup]
[Option B Tablespoon]
[Option D. Fluid Ounce]
Random fact:
• [1 (US) CUP] is approximately [8 (US) OUNCE]
• [1 (US) TABLESPOON] is approximately [1/2 (or 0.5)(US) US OUNCE)
• [1 FLUID OUNCE] is approximately [28.35 GRAM]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
9514 1404 393
Answer:
a. cup
b. tablespoon
d. fluid ounce
Step-by-step explanation:
The liter is a metric unit of measurement of volume. US Customary units are not metric units. Rather, volume in the US is measured in ...
teaspoons
tablespoons (= 3 teaspoons)
fluid ounces (= 2 tablespoons)
cups (= 8 fluid ounces)
pints (= 2 cups)
quarts (= 2 pints)
gallons (= 4 quarts, = 231 cubic inches)
(oil) barrels (= 42 gallons)
and the measurements based on length:
cubic inch
cubic foot (= 1728 cubic inches)
cubic yard (= 27 cubic feet)
acre-foot (= 43560 cubic feet)
__
Above are the fluid measurements. In the US system, there are also dry measures that include ...
gallon (= 268.8025 cubic inches--different from fluid gallon)
peck (= 2 gallons)
bushel (= 4 pecks)
Prepare an accounting equation for the following business transaction
1. Purchased supplies on account, 4,000
2. Purchased furniture and fixtures for cash, 3,000
3. Paid account in no. 1.
4. Paid advance advertisement for promoting the business 1,000
5. Paid the note 2,000
Answer:
you draw a T. form and then you can start to in debit and credit
Which of the following best describes a ratio?
Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option
A. A comparison of two numbers
A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8
Learn more on ratios:
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Maya is helping a gardener plant 300 bulbs. They plant 20% of the bulbs on Monday and 30% of the bulbs on Tuesday. Maya says this means they have planted 50 bulbs so far. Label and shade the model. Then use your model to explain why Maya's statement is not reasonable.
Answer:
because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.
Step-by-step explanation:
PICK 5 RELEVANT VOCABULARY TERMS AND SUMMARIZE THEM .
yooo, i need help with this...
Is 5.12 times 10n =512
Answer:
it is D
Step-by-step explanation:
I have to show you, but if I do it don't on the paper
The quotient of a number p and 3 is 24
Answer:
p= 8
Step-by-step explanation:
because 8 x 3 is 24
hope this helps!❄︎
6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?
Answer:
From the looks of the graph, it looks like the answer will be Letter C. (The last graph).
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( − 3 /4 , 41 /8 )
Focus: ( − 3 /4 , 5 )
Axis of Symmetry: x = − 3 /4
Directrix: y = 21 /4
x y
− 3 − 5
− 2 2
− 3 4
41 8
0 4
1 − 1
pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy?
Answer:
18 pocket folders
Step-by-step explanation:
divide 7.02 by .39
A cone with a radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown. Find the volume of the total figure in terms of pi
Answer:
5π
Step-by-step explanation:
v=1/3πrh
v=1/3×π×3×5=5π
The volume of the combined solid is given as 69π ft³.
What is a right circular cylinder?A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.
The volume of the combined solid is given as,
Volume of cone + Volume of cylinder
The expression can be written as,
1/3πr²h + πr²H
Where h and H are the heights of cone and cylinder respectively.
Plug r = 3, h = 5 and H = 6 to obtain as,
⇒ 1/3π × 3² × 5 + π × 3² × 6
⇒ 69π
Hence, the volume of the combined solid is obtained as 69π ft³.
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Solve the inequalities from parts A and D for the variables b and n, respectively.
Part A:2b<56
Part D:n<56
Answer:
Part A: b < 28
Part D: n < 56
Step-by-step explanation:
part A: divide each term in and simplify.
Inequality Form: b < 28
part d: this is already solved but can be shown in multiple forms.
Inequality Form: n < 56
Interval Notation: ( -∞ , 56)
determine the slope and y intercept and write the equation in slope intercept form
Answer: slope is 2 and the y-intercept is 1 intercept form is y=2x+1
Step-by-step explanation:
There are 550 calories in 100 g of bacon. There are 196 calories in a fried egg. Philip has 60 g of bacon and two fried eggs for breakfast. Work out the total number of calories in this breakfast.
Answer:
509.6 calories
Step-by-step explanation:
196+196=392 calories
10g of bacon=19.6 calories
60g of bacon=19.6×6=117.6 calories
392+117.6=509.6 calories
Please take a look at the picture
Answer:B
Step-by-step explanation:
A: cannot be because it’s the same but the -m is not equal .
B: is the same as ,and B: because 2 (minus number) = right number .
C:Is nOne oF the AboVe
Sorry if explanation is not clear but yes it’s is 99% B ;)
But I do think it is wrong…
Hope you have a. Great day!
:)
Consider the figure.
(7x + 12) (8x + 3)º
What is the value of x?
