An object has a mass of 517 kg and a volume of 32 m3.
Find the density of the object in kg/m3.
Give your answer rounded to 1 decimal place.

Answer:

90

Step-by-step explanation:

Answer:2.51

Step-by-step explanation:

Answer:

A) 1/2

Step-by-step explanation:

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

m=(8-3)/(4-(-6))

m=5/(4+6)

m=5/10

m=1/2

Answer:

The answer is B, P = 12(1.004)^t

A growth rate of 0.4% means you have to multiply by 1.004

B is the only answer with this number, so B is the correct choice.

Answer:

21.

Step-by-step explanation:

An outlier is basically a data point that is just significantly different from other data values (way higher or way lower.)

However, you can see that most of the data points range in the 50-70 points, except the 21. Therefore, it is an outlier.

Answer:

The outlier will be 21.

Step-by-step explanation:

As we can see, most of the points are in the 50, 60, 70 range.

There are none in 30 nor 40.

21 is far away from the 50, 60, 70 range (where most points are), so therefore, it is an outlier.

Answer:

[tex]\frac{1}{4}[/tex] ([tex]\sqrt{6}[/tex] - [tex]\sqrt{2}[/tex] )

Step-by-step explanation:

Using the addition formula for sine

sin(A + B) = sinAcosB + cosAsinB

Given

sin165° = sin(120 + 45)° , then

sin(120 + 45)°

= sin120°cos45° + cos120°sin45°

= sin60°cos45°  - cos60°sin45°

= [tex]\frac{\sqrt{3} }{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex] - [tex]\frac{1}{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex]

= [tex]\frac{\sqrt{6} }{4}[/tex] - [tex]\frac{\sqrt{2} }{4}[/tex]

= [tex]\frac{1}{4}[/tex] ( [tex]\sqrt{6}[/tex] - [tex]\sqrt{2}[/tex] )

Answer:

5x+2=0

Step-by-step explanation:

When factoring you add or subtract your factors that are similar.

For example 9x-4x+ 5x

and this is how you get 5x+2=0

Any Questions?

Answer:5x+2=0

Step-by-step explanation:

Answer:

301.42 ft from base

Step-by-step explanation:

We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer

Answer:

x = 8

Steps:

(4x-2) + (17x+14) = 180

4x + 17x -2 + 14) = 180

21x + 12 = 180

21x = 180-12

21x = 168

x = 168/21

x = 8

Answer:

x < 11/4

Step-by-step explanation:

hope this is right!

Answer:

Exact Form:

x  =  1/2 , 3/2  

Decimal Form:  x  =  0.5  ,  1.5

Mixed Number Form:  x  =   1/2   1/1,2  

Step-by-step explanation:

Answer:

[tex]\displaystyle J'(3) = -1[/tex]

General Formulas and Concepts:

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative Rule [Chain Rule]:                                                                                       [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Derivative:                                                                                                                     [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle J(x) = e^{f(x)}[/tex]

Step 2: Differentiate

Step 3: Evaluate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

Answer:

21

Step-by-step explanation:

Answer:

Angle Z = 180-32 -90 = 58 degrees

sine (32) = y / 16

y = 16 * sine (32)  

y = 16 * 0.52992

y = 8.47872

x^2 = 16^2 -y^2

x^2 = 256 -71.888

x^2 = 184.112

x = 13.568

Step-by-step explanation:

Answer:

x = 13·568, y = 8·47 and z = 58

Step-by-step explanation:

I don't think the question required you to use the Pythagoras theorem but here are some pointers anyway.

The reason I said that this question might not solely require you to use the Pythagoras theorem is because you need to have two variables for the equation to work, maybe this is what got you confused.

For this question, you're required to use Tangents, Sines and Cosines, or you can combine this method and Pythagoras method.

Method one: Using Tangents, Sines and Cosines AND the Pythagoras theorem

Step 1: Looking for x(Using Sin, Cos and Tan)

To find the length of side x, we need to use the Cosine of 32°

Cos 32° = Adjacent side ÷ Hypotenuse

0·8480 = x/16

Make x the subject and multiply both sides by 16

0·8480 × 16 = x/16 × 16

13·568 = x

∴ side x is 13·568

Step 2: Looking for y( using the Pythagoras theorem)

a² + b² = c²

a = y, b = x = 13·568, c = 16

y² + 13·568² = 16²

y² + 184·0906 = 256

y² = 256 - 184·0906

y² = 71·9094

y = √71·9094

y = 8·4799

Method 2: Using Tan, Cos and Sin only

Step 1 remains the same as shown above; x = 13·568

Step 2: Looking for y

Y can be gotten by using the Sine of 32°

Sin 32° = Opposite ÷ Hypotenuse

Sin 32° = y ÷ 16

0·5299 = y/16

Make y the subject and divide both sides by 16

0·5299 × 16 = y/16 × 16

8·4784 = y

∴ y is equal to 8·4784

(I know there's a difference in points of the two values of y, but if you round them off to 2 decimal places we see it remains 8·47

   2. Looking for z:

Using addition and subtraction

The simpler method would be to just add all the internal angles.

32 + 90 + z = 180

122 + z = 180

z = 180 - 122

z = 58

∴ z is equal to 58°

Using Tan, Sin and Cos

The cosine of Z is equal to y divided by 16, where y = 8·47

Cos z = 0·5294

Make z the subject and divide both sides by Cos.

z = 0·5294/Cos

z = 58·04° (I just used the anti-cos to get this number. Press shift, and cos on your calculator then type 0.5294 in front of it)

Here there is also a slight difference in points between the two steps but if you round off step 2 to a whole number you get 58, so it's all good :)

HOPE THIS HELPS!!! :)

Answer:

0.2

Step-by-step explanation:

[tex]\frac{7}{15}[/tex] x [tex]\frac{6}{14}[/tex] = 0.2

Answer:

They are not equal

Step-by-step explanation:

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Answer: There is no solution, due to the left and right sides not being equal.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

x=30

Step-by-step explanation:

2x=x+30

x=30

Answer:

You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.

Step-by-step explanation:

el numerador será 512 ya que en esta suma el numero mas alto es el 512

Answer:

3

Step-by-step explanation:

18+18 = 36. 42-36 = 6. 6 / 2 = 3

Answer:

s = 3

Step-by-step explanation:

2 sides measure 18 so

42- 18 - 18 = 6

2 sides  =  s

so 2s = 6

divide both sides by 2 and taaadaaa

s = 3

Answer:

3) 32

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

sorry if I'm wrong..

Answer:

18.87 units

Explanation:

the estimated distance from a to d is the same as a to b. we can find the length of the diagonal using pythagoras' theorem:

a² + b² = c²

√(2² + 3²) = 3.6056 (to 5s.f.)

now, we can use the same method to calculate the distance between d and c, as well as c and b:

√(3² + 5²) = 5.8310 (to 5s.f.)

adding these values, we will get:

(3.6056 + 5.8310) × 2 = 18.87 units (to the nearest hundredth)

i hope this helps! :D

Answer:

Wednesday

Step-by-step explanation:

Averages

Wednesday-5.5

Monday-7.5

Friday-6.5

Answer:

tan∠A = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

SOHCAHTOA

O= Opposite

H= Hypotenuse

A = Adjacent

So according to this the 3 is the opposite side and 5 is the hypotenuse.

So we need to find adjacent side for Tan.

For this we will use pythagorean theorem. [tex]a^{2} + b^{2} = c^{2}[/tex] c is the hypotenuse, b is the base.

We are sure that the hypotenuse is 5 but we dont know which side is 3 but it wont matter we can put it in either a or b because it would be adjacent at the end as we already know the other 2.

[tex]3^{2} +b^{2} = 5^{2} \\9 + b^{2} = 25\\b^{2} = 16\\b^{2} = 4^{2} \\b = 4[/tex]

So the adjacent side 4. Now according to TOA tan∠A = [tex]\frac{3}{4}[/tex]

Answer:

v/10.24=8 V=4 <-- I am not sure if it's right but, I hope this helps u, Srry if it's the wrong answer

Step-by-step explanation:

Answer:

4x-6-5x-12. it can then be -24 - -60 = -84.

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

x =7-y

subs x in eqn 2

3(7-y)+y=15

21-3y+y=15

21-2y=15

21-15=2y

6=2y

y=6/2

y=3

C. Inherited traits carry the instructions for individual genes is the statement that does not describe the relationship between genes and inherited traits. Genes carry the instructions for inherited traits, not the other way around.