M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540

Answer:

5/3

Step-by-step explanation:

The line goes through the points (0,0) and (3,5)

m = (y2-y1)/(x2-x1)

   = (5-0)/(3-0)

   = 5/3

Answer:

answer b -2.25

Step-by-step explanation:

The zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

We have:

f(x) = 16x^2 + 32x - 9

Next, we test the options.

x = –5.25

f(-5.25) = 16(-5.25)^2 + 32(-5.25) - 9

Evaluate

f(-5.25) = 264 --- this is false

x = –2.25

f(-2.25) = 16(-2.25)^2 + 32(-2.25) - 9

Evaluate

f(-2.25) = 0 ---- this is true

Hence, the zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

Read more about quadratic function at:

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Answer:

The planet to have the biggest mass is Jupiter

the radius of mercury is 2.44 × 10^5

the difference in mass between Jupiter and Saturn is 2.2 × 10⁴

Answer:  y−intercept is =(0,−2),  the horizontal asymptote is y=4, Domain is − ∞ < x < −2 and  −2 < x < ∞, Range is − ∞ < y < 4 and 4 < y < ∞

Step-by-step explanation: Vertical asymptote can be found by setting the denominator equal to 0 and solving for x : , Horizontal asymptote can be found by evaluating yas x→±∞,

Answer:

1000000/8025 = 40000/321 (simplified)

1000/9596

Step-by-step explanation:

Hi there,

There is an alternative way to do this....

First it is important to understand what a reciprocal is. The reciprocal of any number x is the number 1/x. The reciprocal of a number is also its multiplicative inverse, which means that the number times its reciprocal must equal 1. For a number such as 2, the reciprocal would be 1/2. For a fraction such as 2/5, the reciprocal would be 5/2.

Finding the reciprocal of a decimal can be done in a number of ways.

Change the decimal to a fraction first.

Ex. 0.25 is 25/100 and is equivalent to the fraction 1/4. Therefore Its reciprocal would be 4/1 or 4.

Keep the decimal and form the fraction 1/?? which can then be or converted to a decimal.

Ex. 0.75 The reciprocal is 1/0.75. Using a calculator, the decimal form can be found by performing the operation: 1 divided by 0.75. The decimal reciprocal in this case is a repeating decimal, 1.33333....

After finding a reciprocal of a number, perform a quick check by multiplying your original number and the reciprocal to determine that the product is 1:

(0.25)(4) = 1.00

(0.75)(1.33....) = 1 but it is easier to see for sure with repeating decimals if you use the fractions instead of the decimals.

(3/4)(4/3) = 12/12 = 1

Hope this helps, Mark as brainliest if liked it! thanks!

Answer:

Step-by-step explanation:

Subtract the distance driven by Rohan from the total distance

Distance driven by Raj = 1245 - 412

                                     = 833 km

Answer:

Given:

Step-by-step explanation:

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

This is because the product will be a trinomial and the polynomial will not result in a difference of squares. A difference of squares is when the factor are inverse to each other.

C- Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Answer:

Its either 10 to the power of 6 or ten to the power of 5

Step-by-step explanation:

...

Answer:

-616

Step-by-step explanation:

First subtract 35 with 21 since 35 is a negative. then subtract 45 with 1

for the first parenthesis would be -14. the second parenthesis would be 44.

then multiply both of the answers together to get -616

Answer:-220

Step-by-step explanation:

The corresponding angles have the same measure and the ratios of the corresponding sides are equivalent.

Similar figures are figures that have the same shape and the ratio of their corresponding sides are proportional. Also, they have the same corresponding angles.

From the triangles, the corresponding angles have the same measure. Hence, they are similar and the ratios of the corresponding sides are equivalent.

Find out more on similar figures at: https://brainly.com/question/26173060

Answer:

hi im sorry im late, the answers would be:
1. The ratios of the corresponding sides are equivalent.

2. The corresponding angles have the same measure

3. DE corresponds to IH.

Step-by-step explanation: here's proof :)

have a good day!!

Answer:

15/17

12/37

12/13

20/21

Step-by-step explanation:

5)

cos A = adj/hyp = 15/17

6)

cos C = adj/hyp = 12/37

7)

cos Z = adj/hyp = 36/39 = 12/13

8)

tan A = opp/adj = 20/21

Answer:

C. y-5>3x-7

Step-by-step explanation:

If you multiply y and x to 0 you get -5 > -7

Answer:

C. y-5>3x-7

Step-by-step explanation:

The point (0, 0) would be a solution because the inequality is greater than or equal to. Since the 2 sides become equal, the inequality is true which means (0, 0) is a solution.

please mark me brainliest :)

Answer:

67.6

Step-by-step explanation:

Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.

Answer:

A

Step-by-step explanation:

By the Pythagorean Theorem, you know that:

[tex]2^2+5^2=c^2[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer: choice A

Step-by-step explanation:

Based on the pythagorean theorem which states

[tex]a^{2} +b^{2} =c^{2}[/tex]

c being the hypotenuse

so 2^2+5^2=c^2

and c would equal [tex]\sqrt{29}[/tex]

Answer:

303

Step-by-step explanation:

sin 60 = x / 350

x = 350(sin60) = 303.1

Answer:

Step-by-step explanation:

Answer:

Slope = -3

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{3-9}{2-0}[/tex]

Slope = [tex]\frac{-6}{2}[/tex]

Slope = -3

Answer:

the order of rotational symmetry of the shape is 2

Answer:

( About ) 1.01371e + 16 ways

Step-by-step explanation:

You have 21 choices for the first student chosen, 20 choices for the next, then 19, then 18. However, this over-counts everything by a factor of 7! (the number of ways in which four objects can be arranged with regard to order).

Thus, take a look at the procedure below;

[tex]21! / 7! =\\21 * 20 * 19 * 18 * 17 * 16 etc. / 7 * 6 * 5 * 4 * 3 * 2 * 1 =\\( About ) 1.01371e+16[/tex]

This is an approximate answer mind you, so I hope that still helps!

Answer:

Step-by-step explanation:

Use the possibility diagram to calculate the probability that the product of the two numbers is

A prime number

Sample Space: 64

Prime Number:8

Probability: 8/64 = 1/8

Not a perfect square

Sample Space:64

Not a perfect square:56

Probability: 56/64 = 7/8

A multiple of 5  

Sample Space:64

A multiple of 5: 16

Probability: 16/64 = 1/4

Less than or equal to 21  

Sample Space:64

Less than or equal to 21:24

Probability: 24/64 = 6/16 = 3/8

Divisible by 4 or 6

Sample Space:64

Divisible by 4 or 6:32

Probability: 32/64 = 1/2

Answer:

B

Step-by-step explanation:

there's no point on x^2 +3 at 4 so x < 4 making it B

Answer:

Surface Area: 200.48 yd^2

Volume: 141.2 yd^3

Step-by-step explanation:

Rectangular Prism x1 = 148.48 yd^2

Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.

Triangular Prism x2 = 52 yd^2

Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.

Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.

Now we move on to volume, which is actually more simple.

Formula of Rectangular Prisms = length x width x height

Formula of Triangular Prisms = (length x width x height) / 2

Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3

Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2

Finally add the volumes together to get your final volume.

107.52 + 16.8 + 16.8 = 141.2 yd^3

Sorry if this is long xd

Answer:

x = -18

Step-by-step explanation:

5 ( x + 9 ) = -45

→ Expand out the brackets to simplify the equation

5x + 45 = -45

→ Minus 45 from both sides to isolate 5x

5x = - 90

→ Divide both sides by 5 to isolate x

x = -18

Answer:

x= -18

Step-by-step explanation:

5*(x+9)=-45

:5            :5

x+9=-9

-9       -9

x= -9-9

x= -18

Answer: 2ab - e/3 - 3d

Step-by-step explanation:

2ab - 1/3e - 3d

= 2ab - 1e/3 - 3d

= 2ab - e/3 - 3d

Answer:

(55,9)

Step-by-step explanation:

^

Answer:

A. The number quadrupled each week

Step-by-step explanation:

f(x)= 3(4)^x

As per the function, each week number increases 4 times

So the answer choice is A

Answer:

91+c

Step-by-step explanation:

The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.

Answer:

A.

Step-by-step explanation:

Answer:

THANKS FOR GIVING BRAINLIEST.

So we need to first find out f(7)

That would be if you look at the line its -1 on the y.

g(-1) on the line is 1 on x

10*-1+9*1

= -10+9

answer is -1

Answer:

10* f(7) +9* g(-1) = -1

Step-by-step explanation:

f(7) = -1, g(-1) = 1

10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1