Answer:
6.862035456*10^26 m/s^2
Step-by-step explanation:
We know that:
m=70kg
M=Mass of earth=5.98*10^24kg
R=Distance between object's and earth's center=6.38*10^6m
G=6.6726*10^-11 N/m/kg^2
Thus, we can use the equation [tex]F_g=\frac{GmM}{R^2}\\[/tex]:
[tex]F_g=\frac{(6.6726*10^-11)(70)(5.98*10^{24})}{(6.38*10^{-6})^2}\\\\F_g=6.862035456*10^{26}[/tex]
This means the force of gravitational attractions is 6.862035456*10^26 m/s^2
Diagram 7 shows a regular hexagon UVWXYZ.
Diagram 7
Find the value of r.
.
A30°
B40°
С45°
D60°
Answer:
option d is the correct answer
Step-by-step explanation:
use formula for finding sum of all interior angles of regular polygon i.e. (n-2)×180 where n is no of sides of regular polygon then divide it by no. of sides of regular polygon to find measure of one angle of regular polygon and then subtract it from 180° to find the answer
Emiliana pays 6% sales tax on a cupcake that costs 3 dollars. How much does the sales tax add to the purchase price? Please tell me how you got the answer. (answer choices: $0.018, $18, $0.18, $3.18)
Answer:
$0.18 sales tax will be added to the purchase price.
Step-by-step explanation:
Given that:
Cost of cupcake = $3
Sales tax applied = 6%
Amount of sales tax = 6% of cost of cupcake
Amount of sales tax = [tex]\frac{6}{100}*3[/tex]
Amount of sales tax = 0.06 * 3 = $0.18
Hence,
$0.18 sales tax will be added to the purchase price.
Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: Two irregular quadrilaterals ABCD and EFGH are drawn. EFGH is the photocopy of design ABCD. AB measures 15 meters, DC measures 17 meters. No dimensions are shown on EFGH. The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image? 15 17 30 34
Answer:
The answer is 34
Step-by-step explanation:
The ratio of AD:EH is 1:2, so therefore the other line segments have the same ratio. Using this logic, we see that DC is equal to 17 m, and we need to find GH. All we do now is double the measurement of DC since the ratio of the two shapes is 1:2.
Therefore, 17 * 2 = 34
Answer:
34
Step-by-step explanation:
hope this helps
The sum of x and 6.5 is 11.9. Find
he value of x.
Answer:
5.4
Step-by-step explanation:
Sum = 11.9
One decimal = 6/5
x = 11.9 - 6.5
= 5.4
Therefore x is 5.4 :)
What is the total cost of a $95.00 item with a sales tax of 6%?
Answer:
$100.7
Step-by-step explanation:
Total cost
= cost of item + amount of sales tax
= 95 + 6% of 95
= 95 + 0.06*95
= 95 + 5.7
= $100.7
Answer:
Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.
1.06 × $95.00 = $100.70
The object will cost $100.70.
Step-by-step explanation:
Credits to : Padoru
Check : https://brainly.com/question/14308615 to see their response
A country road has a section of road with grade of 9%. A car climbs up the slope road 18 feet above the flat road . What horizontal distance does the car travel?
Answer:
36
Step-by-step explanation:
x
Equivalent ratios
ord
Select two ratios that are equivalent to 4: 18.
pls help work is due tonight i will give brainliest
Answer
the first one is the answer and none of the above
Step-by-step explanation:
help---------------
Answer:
C. (f - g)(x) = 3ˣ - 2x + 14
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3ˣ + 10
g(x) = 2x - 4
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 3ˣ + 10 - (2x - 4)Distribute -1: (f - g)(x) = 3ˣ + 10 - 2x + 4Combine like terms: (f - g)(x) = 3ˣ - 2x + 14How many terms are in this expression?
9+ 8d+b
Melissa makes 8 dollars for each hour of work. Write an equation to represent her total pay p after working h hours
Answer:
8 x h= p
Step-by-step explanation:
You see 8. That is the amount she is getting paid for each hour.
p is how much is paid totally after working a certain amount of hours
h represents how many hours she works.
8 dollars times the amount of hours she works(h) would equal p, the total amount she is paid
I really hope this helped~~
Morgan needs to order some new supplies for the restaurant where she works. The restaurant needs at least 650 glasses. There are currently 380 glasses. If each set on sale contains 15 glasses, write and solve an inequality which can be used to determine ss, the number of sets of glasses Morgan could buy for the restaurant to have enough glasses.
Answer:
43 Sets for 650
Step-by-step explanation:
Just do division.
Hope this helps :-)
Answer:
ok
Step-by-step explanation:
12
2
2
2
2
2
3
Joanna waited in line for less than 15 minutes to get a ticket to an amusement park. Which number line shows the amount of time Joanna waited in line?
Answer:
Step-by-step explanation:ifk
Answer:
the answer is a or b .
Step-by-step explanation:
had the same question on my test.
what is 16 to the zeroth power
Answer: 1
Step-by-step explanation: Nice try :)
Answer:
1
Step-by-step explanation:
Anything to the 0th is 1
Is [113 + ( −74) ]+ (−26) commutative or associative property?
Answer:
Commutative.
Associative property works on symbols instead of signs!
Answer:
associative property
Step-by-step explanation:
[a+b]+(c)=(a)+[b+c]
Plz help me on this
The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
On average, Carmen can drive 28 miles on every gallon of gasoline. If she fils up her tank for $225 per gallon, how much
will it cost her to drive 336 mies?
1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
b) Solve G(x) = 0.
2) In the adjacent figure ABCD is a square:
a) Express the area of the square and the area
of triangle AEB in terms of x.
b) Calculate x so that the area of the square is equal
to 6 times the area of triangle AEB.
Answer:
In bold.
Step-by-step explanation:
a. (x+5)^2 – 3x(x+5) x+5 is common
= (x + 5)(x + 5 - 3x)
= (x + 5)(5 - 2x)
b. (x + 5)(5 - 2x) = 0
x = -5, 2.5.
2a. Area of the square = (x + 5)^2
Area of triangle AEB
= 1/2 * base * height
I am assuming that H is the centre of AB , so
Area = x*x
= x^2.
2b
6x^2 = (x + 5)^2
6x^2 = x^2 + 10x + 25
5x^2 - 10x - 25 = 0
x^2 - 2x - 5 = 0
x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2
x = -1.45, 3.45.
(we ignore the negative).
Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive? If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
9 books each
Step-by-step explanation:
27/3=9....(77) – 32
a. - 2
b. 16
C. 52
d. - 16
Answer:
b. 16 not sure its correct just trying to help out. :)
Step-by-step explanation:
The total cost to buy pizzas for Ms. Smith's holiday party can be found using the function C) = 10 +3.50, where x is the number of pizzas bought. If she wants to order at least 5 pizzas but not more than 9 pizzas for her class What is the range of the function for the above situation?
Answer:
1234
Step-by-step explanation:
The sum of three numbers is 76. The third number is eight less than the first. The second number is two times the third. What are the numbers?
Step-by-step explanation:
Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"
The numbers are 25, 34, and 17.
Let x be the first number, y be the second number, and z be the third number. We know that x + y + z = 76, z = x - 8, and y = 2z.
Substituting the second and third equations into the first equation, we get x + 2(x - 8) + (x - 8) = 76.
Simplifying the right side of the equation, we get 4x - 24 = 76.
Adding 24 to both sides of the equation, we get 4x = 100.
Dividing both sides of the equation by 4, we get x = 25.
Substituting x = 25 into the equation z = x - 8, we get z = 25 - 8 = 17.
Substituting x = 25 and z = 17 into the equation y = 2z, we get y = 2 * 17 = 34.
Therefore, the numbers are 25, 34, and 17.
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At 6 weeks old, Tarik's beagle puppy weighed 2.4 kg. Now, the 18-week old puppy welghs 8.4 kg. Find the rate of change.
Answer:
0.5 kg/week
Step-by-step explanation:
rate of change = (change in weight)/(change in time)
rate of change = (8.4 kg - 2.4 kg)/(18 weeks - 6 weeks)
rate of change = 6 kg / 12 weeks
rate of change = 0.5 kg/week
Art mows 1 8 acre in 1 4 hour. How many acres does Art mow per hour?
Answer:He mows half an acre in one hour
Step-by-step explanation:
Simplify: (5x2 - 9x + 3) + (4x2 + 4x - 12)
(1) 9x2 + 5x - 9
2) 9x2 - 5x + 15
3) 9x² - 5x-9
4) 9x2 - 13x - 9
Answer:
3) 9x² - 5x - 9
Step-by-step explanation:
Combine like terms
5x² - 9x + 3 + 4x² + 4x - 12 = 5x² + 4x² - 9x + 4x + 3 - 12
= 9x² - 5x - 9
PLEASE HELP WILL MARK BRAINLIEST!!!
Answer: i think it may be b
Step-by-step explanation:
Find the solution set of the inequality 4x -1 < 11.4x−1<11
Answer:
x<3
Step-by-step explanation:
4x -1 < 11
Add 1 to each side
4x -1+1 < 11+1
4x<12
Divide each side by 4
4x/4 <12/4
x<3
find the 66th term in the arithmetic sequence -92,-85,-78,-71,...
Work out an approximate solution to x^3+2x-1=0 use the iteration...... Help please!!!!?????
Approximate solutions are the estimate values of an equation
The approximate solution of the equation is x = 0.45
How to determine the approximate solutionThe equation is given as:
[tex]x^3 + 2x- 1= 0[/tex]
The iteration is given as:
[tex]x_{n+1} = \frac{1}{x_n^2 + 2}[/tex]
To start with, we have:
[tex]x_1 = 1[/tex]
So, we have:
[tex]x_2 = \frac{1}{1^2 + 2} = \frac 13 =0.33333333[/tex]
The next iteration is:
[tex]x_3 = \frac{1}{0.33333333^2 + 2} = 0.47368421102[/tex]
The next iteration is:
[tex]x_4 = \frac{1}{0.47368421102^2 + 2} = 0.4495641344[/tex]
The next iteration is:
[tex]x_5 = \frac{1}{0.4495641344^2 + 2} = 0.45411035264[/tex]
The next iteration is:
[tex]x_6 = \frac{1}{0.45411035264^2 + 2} = 0.45326473189[/tex]
Notice that:
x5 and x6 have the same value to 2 decimal places.
i.e. [tex]x_5 \approx x_6 = 0.45[/tex]
Hence, the approximate solution of the equation is x = 0.45
Read more about approximate solutions at:
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