On a given planet the weight of an object varies directly with the mass of an object. Suppose that an object whose mass is 3kg weighs 21N. Find the weight of an object whose mass is 7kg

Answers

Answer 1
Weight = mass*gravity
Rearrange to get gravity
Gravity = weight/mass

Using 3kg, 21N

Gravity = 21/3 = 7
On this particular planet the gravity is measure at 7 m/s

Therefore:
Weight = 7kg*7= 49N

Related Questions

300,000+5,000+80+8· 1/100 +9· 1/10,000

Answers

Answer:

305,080.0809

Step-by-step explanation:

3 x 100,000 : digit 3 is in the hundred thousands place

5 x 1000 : digit 5 is in the thousands place

8 x 10 : digit 8 is in the tens place

8 x 1/100 : digit 8 is in the hundredths place which means it is the second number after the decimal

9 x 1/10,000 : digit 9 is in the ten thousandths place which means it is the fourth number after the decimal

we get the following number:

305080.0809

Emily walked 5 2/6 miles in the morning and another 3 3/5 miles in the afternoon What was the total distance she walked?​

Answers

Answer:

The correct answer would be 8 14/15 miles.

Step-by-step explanation:

You have to get the fractions 5 2/6 and 3 3/5 to a common denominator (30) getting you the fractions 10/30 and 18/30. 10/30+18/30 is 28/30 which can simplify to 14/15. 5+3 = 8 getting you the answer of 8 14/15

a. Use the appropriate formula to find the value of the annuity
b. Find the interest
Rate
Periodic Deposit
$6000 at the end of each year
15.5% compounded annually
Time
10 years

Answers

The value of the $6000 annuity given annual compounding is $124,836.12.

What is the value of the annuity?

The value of the annuity can be determining using this formula: amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

n = number of years r = interest rate

$6000 x [(1.155^10) - 1/0.155] = $124,836.12

To learn more about annuities, please check: https://brainly.com/question/24108530

Question is on the screenshot.

Answers

Answer : Last option
Tanx =48/80


Tan(angle) = opposite/adjacent
Tanx = 48/80

what is 2pi*4^2 + 2pi*4*4

~giving brainliest!~

Answers

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

[tex]2\pi {(4)}^{2} + 2\pi \: 4 \ast4 \\ \\ = 2\pi \ast16 + 2\pi \ast16 \\ \\ = 32\pi + 32\pi \\ \\ = 64\pi[/tex]

Answer:

64π

Step-by-step explanation:

2π(4²) + 2π(4)(4) <== exponents first

2π(16) + 2π(16) <== multiply

32π + 32π <== add

64π <== final answer

Note: 4 * 4 can also be written as 4²

Hope this helps!

Order the integers from greatest to
least: 4, -3, 0, 8, -5.
A 5, 3, 0, 4,8
B 3.-5, 0. 4.8
8, 4.0, 3, 5
D 0, -3, 4, 5,8

Answers

Answer:

8, 4, 0, -3, -5

(greatest to least order)

-Answer: C-

Step-by-step explanation:

8 is positive so its greatest

-5 is negative but it is farthest away from 0 so it is least

What is the equation of the line that passes through the point (3,7) and has a slope of 2/3

Answers

Answer:

[tex]Y=\frac{2}{3} x +5[/tex]

Hope This Helped! :) Please Mark Brainliest!

Consider the rhombus ABCD with the side length AB of 14 cm and the measure of the angle B of 120 °. Through the vertex A goes a certain secant that intersects the extensions of the sides BC and CD in E, respectively F.
Calculate:
[tex] \frac{1}{ce} + \frac{1}{cf} [/tex]

Answers

Answer:

  1/14

Step-by-step explanation:

In the given geometry, we have similar triangles:

  ΔCEF ~ ΔBEA ~ ΔDAF

This lets us write the relations for corresponding sides ...

  CF/CE = DF/DA

where DF = CF -CD

We can rearrange this relation to give the value we're looking for as follows.

__

Making the substutition for DF, and multiplying by CE, we have ...

  CF = CE(CF -CD)/DA

Both DA and CD are sides of the rhombus, so are both 14 cm in length. Multiplying by DA and making the number substitution, we have ...

  DA·CF = CE·CF -CE·CD

  14·CF = CE·CF -14·CE . . . . substitute 14 for DA and CD

  14(CF +CE) = CE·CF . . . . . add 14·CE

  (CF +CE)/(CE·CF) = 1/14 . . . . divide by 14·CE·CF

  1/CE +1/CF = 1/14 . . . . . . . . . simplify

HELPPP PLSSSS THE PYTHAGOREAN THEOREM

Answers

Answer:

Step-by-step explanation:

a²+b² = c² c is always the longest line thats opposite to the 90 degree angle

for 1

15² + b² = 17²

b² = 17² - 15²

b = √(17² - 15²)

b= 8

The cost of 5 pounds of apples is $12.45. What will be the cost of 12 pounds of apples if the
cost varies directly with the number of pounds purchased.
Edit View Insert Format Tools Table

Answers

Answer: 29.88

Step-by-step explanation: if 5 pounds = $12.45,

                                             then 12 pounds = x

Therefore, Cross-multiply

5 x = 12 (12.45)

5x=149.4

x=149.4/5

x=29.88

Answer:

Step-by-step explanation:

Equation

Cost = k*weight

Givens

weight = 5 pounds

Cost = 12.45

12 pounds

Find k

Cost = k*weight

cost = 12.45

weigh = 5 pounds          Substitute these values into the equation

12.45 = k * 5                    Divide by 5

12.45 /5 = k*5/5

2.49 = k

Solve for 12 pounds

k = 2.49weight = 12 pounds

Cost = 2.49 * 12

Cost = 29.88

Answer

Cost = 29.88

1) Graph y = f(x) = 3(2)%. Adjust the equation to make the y-intercept (0, -3). Which response is not correct?

A) Replace 3 with -3.
B) Replace x with -x.
C) Add -6 to the right side.
D) Replace x with -x and subtract 6 from the right side.

Answers

Using the concept of y-intercept, it is found that the response that is not correct is given by:

B) Replace x with -x.

What is the y-intercept of a function?

It is the value of the function when x = 0, hence it is the point (0, f(0)).

In this problem, the function is:

[tex]f(x) = 3(2)^x[/tex]

The y-intercept is given by:

[tex]f(0) = 3(2)^0 = 3[/tex]

If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.

More can be learned about y-intercepts at https://brainly.com/question/24737967

help me help me help me​

Answers

Answer:

read step by step

Step-by-step explanation:

6 is +4.

19, 23, 27, 31

7 is all perfect square numbers

25, 36, 49, 64

8 is x2.

32, 64, 128, 256

9 is each number multiplied by the next. ex: 1x2=2, 2x3+6, 3x4=12

so the next few would be 30, 42, 56, 72

‼️GET BRANLIEST HERE‼️






PLS AND TY IT IS DUE SOON :))​

Answers

Answer:

b = 0.62

Step-by-step explanation:

Hello!

We can look at the y-values of the function to find our multiplier. A multiplier will determine if the graph decays or grows in an exponential function, and by how much.

When x is 0, we can see the y-value is around 3, but as x approaches 1, the y-value comes to around 2.

We can find the multiplier by dividing the current term by the previous term.

2 ÷ 32/30.6666...

This number is closest to 0.62, so the approximation is 0.62.

2/3

0.6666..

Approximation is 0.62 (b)

Hope this helped! Stay healthy!

How much pound sterling can be obtained while exchanging NRs250000 paying 2% commission?
(Buying rate: 1 pound=NRs 148.96) (Selling rate: 1 pound=NRs 149.74)​

Answers

Hope it helps best of luckkkkk

sheri caught twice as many fireflies as robert. jessica caught 10 more flies than robert all together they caught 150 flies. how many flies did jessica catch?

Answers

Answer:

45 fireflies

Step-by-step explanation:

Because,

Sheri caught 70 and Robert caught 35.

150-35-70= 35

35+10 is equal to 45.

Following the rules given is the right answer

A right triangle has a hypotenuse with a length 12 and a leg with
length 5. How long is the triangle's other leg?

Answers

Answer:

13

Step-by-step explanation:

pythagorean theorum

a^2+b^2=c^2

12^2+5^2=c^2

144+25=c^2

c^2=169

c=13

The length of the triangle's other leg is approximately 10.908.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the Pythagorean theorem to solve for the length of the other leg of the right triangle.

The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides (the legs).

That is, for a right triangle with legs a and b and hypotenuse c:

c² = a² + b²

In this case,

We know that the hypotenuse has a length of 12 and one of the legs has a length of 5.

Let's denote the length of the other leg as "x".

So we can set up the equation:

12² = 5² + x²

Simplifying, we get:

144 = 25 + x^2

Subtracting 25 from both sides, we get:

119 = x²

Taking the square root of both sides, we get:

x ≈ 10.908

Therefore,

The length of the triangle's other leg is approximately 10.908.

Learn more about triangles here:

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Need help as soon as possible

Answers

Answer:

100cm

Step-by-step explanation:

divide the shape into smaller shapes then find the area of each and add them together

Vera has challenged Alexey to a round of Marker Mixup. Marker Mixup is a game where there is a bag of 5 red markers numbered 1 through 5, and another bag with 5 green markers numbered 6 through 10

Alexey will grab 1 marker from each bag, and if the 2 markers add up to more than 12 he will win If the sum is exactly 12, he will break even, and If the sum is less than 12, he will lose $6

What is Alexey's expected value of playing Marker Mixup?

Answers

Answer:

Step-by-step explanation:

The total possble combinations = 5 * 5 = 25 ways.

The number of ways to get exactly 12

= 2,10  3,9  4,8  5,7  = 4 ways.

The ways to get > 12

= 3,10  4,9  4,10  5,8  5,9  5,10  =  6 ways.

So the number of ways to get < 12 = 25 - 4 - 6 = 15 ways.

Expected value

= 4(0) + 6(x) + 15(-6)

I have written x as you have not said how much he gets if he wins.

Answer:

−$2.40

Step-by-step explanation:

correct on khan

Finish the polynomial by adding one number to make it a perfect square

x^2+18x+

Answers

Answer:

81

Step-by-step explanation:

[tex] {x}^{2} + 18x + {(( \frac{1}{2})(18)) }^{2} [/tex]

[tex] {x}^{2} + 18x + {9}^{2} [/tex]

[tex] {x}^{2} + 18x + 81[/tex]

[tex] {(x + 9)}^{2} [/tex]

solve for a ~
[tex]a {}^{2} - 5a + 6 = 0[/tex]

thankyou ~​

Answers

Answer:

Hi there!

Given equation :-

[tex]\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}[/tex]

Now

=> By splitting the middle term

=> [tex]\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}[/tex]

=> [tex]\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}[/tex]

=> [tex]\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}[/tex]

We get ,

=> [tex]\:\sf{a\:=\:2\: and\: a\:=\:3}[/tex]

[tex]\:\mathsf{Hope\:this\:helps\:you!\::)}[/tex]

Thank you!

Answer:

[tex]a = 3 \: \: \: and \: \: a = 2[/tex]

Step-by-step explanation:

[tex]a^{2} - 3a - 2a + 6 = 0[/tex]

[tex]a \: (a - 3) \: \: (a - 2)[/tex]

[tex]{}\ a - 3 = 0 \\ a = 2{}[/tex]

Choose all statements that are true.
A 15% of 15 is 1.
B 5% of 50 is 10.
C 10% of 100 is 10.
D 2% of 100 is 5.
E 3% of 200 is 6.

Answers

Answer:

C, D, E

Step-by-step explanation:

15 * .15 = 2.25

50 * .05=  2.5

100 * .10= 10

100 * .05= 5

200 * .03= 6

This recipe makes 10 flapjacks.
How much of each ingredient is needed to make 35 flapjacks by following this recipe?

Recipe: Makes 10 flapjacks
140 g margarine
120 g sugar
100 ml syrup
240 g oats
50 g raisins

Answers

Answer:

Multiply each measure of ingredients by 3.5

Step-by-step explanation:

This recipe makes 10 flapjacks. We want to be able to make 35 flapjacks.

Divide 35 by 10 to find the ratio of these 2 numbers.

35 / 10 = 3.5

Now we can multiply the measures by this number to find out how much of each ingredient we need.

140 * 3.5 = 490

120 * 3.5 = 420

100 * 3.5 = 350

240 * 3.5 = 840

50 * 3.5 = 175

Answer:

Recipe: Makes 35 flapjacks

490 g Margarine

420 g sugar

350 ml syrup

840 g oats

200 g raisins

10.A water tank has strps inside it. A monkeyis sitting on topmost floor(i.e.,the first step).The water level is at ninth step. (i) He jumps 3 steps down and then jumps back 2 strps up.In gow many jumps will he reach the water level? Ch-integers class-7​

Answers

Answer:

7 steps.

Step-by-step explanation:

Since the monkey is sitting on the first step already you can subtract 9 by 1 to find the amount of steps left.

9-1 = 8 steps left

The monkey jumps 3 steps down

8-3= 5 steps

Then jumps 2 steps up

5 + 2 = 7 steps

The monkey has 7 more steps until he reaches the water level.

Solve the system of linear equations. separate the x- and y- values with a coma. -5x+6y=33 -18x+4y=-22

Answers

I hope I can help you:)

Express (x+9)^2 as a trinomial in standard form.

Answers

Answer:

x^2 + 18x + 81

Step-by-step explanation:

(x+9) (x+9)

then distributive property

[tex](x+9)^2\\\\=x^2 + 2\cdot 9 \cdot x + 9^2\\\\=x^2 +18x+81[/tex]


X/5= 7

X/2= 6.5

Find x

Answers

Answer:

1. Answer is 35

2. Answer is 13

Step-by-step explanation:

All you have to do is multiply 5 on both sides for number 1 and multiply by 2 on both sides for number 2.

Using proportions to solve for missing sides.
RST~YSZ, find YZ.

Answers

Answer:

  YZ = 28

Step-by-step explanation:

A proportion involving the known and unknown sides is ...

  TR/ST = ZY/SZ

__

This proportion uses SZ, which is not shown on the diagram. The length of SZ can be found from ...

  SZ +ZT = ST . . . . . . . segment sum theorem

  SZ + 5 = 40 . . . . with given values

  SZ = 35 . . . . . subtract 5

__

So, the proportion with values filled in is ...

  (3x -7)/40 = (2x +2)/35

  7(3x -7) = 8(2x +2) . . . . . . . multiply by 280

  21x -49 = 16x +16 . . . . . . . eliminate parentheses

  5x = 65 . . . . . . . . . . add 49 -16x

  x = 13 . . . . . . . . divide by 5

  YZ = 2x +2 = 2(13) +2

  YZ = 28

_____

Additional comment

RT = 3x -7 = 3(13) -7 = 32

How many centimetres are there in 1.6 metres?

Answers

There are 160 centimeters in 1.6 meters. You move the decimal 2 places to the right

Which point would be a solution to the system of linear inequalities shown below?

Answers

Answer: (-4, -6)

Step-by-step explanation:

Solving by graphing

[] See attached

    () The only point in the required range is point (-4, -6)

Solving by plugging-in

        I will figure out what the correct option is by plug them into the first equation. Since only one of these options is true, I do not need to do the second equation.

[✗] Let's check point (4, 10)

    () 10 < (1/4)4 - 4

       10 < 1 - 4

       10 < -3 is false, so this answer is incorrect

[✗] Let's check point (-4, 5)

    () 5 < (1/4)-4 - 4

       5 < -1 -4

       5 < -5 is false, so this answer is incorrect

[✗] Let's check point (-4, -4)

    () -4 < (1/4)-4 - 4

       -4 < -1 -4

       -4 < -5 is false, so this answer is incorrect

[✓] Let's check point (-4, -6)

    () -6 < (1/4)-4 - 4

       -6 < -1 - 4

       -6 < -5 is true, so this answer is correct      

45th term of an arithmetic sequence having a=3 and d=8 is:

Answers

Answer:

a45 = 320

Step-by-step explanation:

The 45th term of the Arithmetic Sequence will be 355.

We have a Arithmetic Sequence with a = 3 and d = 8.

We have to determine the 45th term of this sequence.

What is the formula to calculate the nth term of an Arithmetic Sequence ?

The formula to calculate the nth term of an Arithmetic Sequence is -

a(n) = a + (n - 1)d

a - first term of A.P.

d - Common difference of A.P.

n - position of term

According to the question -

a = 3

d = 8

n = 45

Then, using the formula to calculate the nth term, we get -

a(n) = a + (n - 1)d

a(45) = 3 + (45 - 1)8

a(45) = 3 + 44 x 8

a(45) = 3 + 352

a(45) = 355

Hence, the 45th term of the Arithmetic Sequence will be 355.

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