Find the equation of the line

Answer:

1 g/cm³

Step-by-step explanation:

Volume of the model:

V=1/3bh= 1/3*100*6= 300 cm³

Density= weight/volume= 300 g/300 cm³= 1 g/cm³

The lowest density is 1 g/cm³

Answer:

1.5 !

Step-by-step explanation:

oh khan academy :))

Disability insurance is generally provided by the employers to the employee

Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.

Generally the employers provide Disability insurance to their employees .

An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .

A railway employee is given a  Disability insurance cover and many other normal companies also provide  Disability insurance.

Hence Option B  Disability insurance is the correct answer.

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Answer:

Step-by-step explanation:

2x - 1 < 7

Add 1 to both sides

2x - 1 + 1 < 7+1

2x < 8

Divide both sides by 2

2x/2 < 8/2

x < 4

5x + 3 < 3

Subtract 3 form both sides

5x + 3 - 3 < 3-3

5x < 0

x < 0

x <4 & x < 0

So, solution ,

{x / x< 0 }

Answer:

A. {x l x < 0}

Step-by-step explanation:

2 x - 1 < 7 and 5x + 3 < 3.

Solve one inequality at a time

2 x - 1 < 7

Add 1 to each side

2 x - 1+1 < 7 +1

2x <8

Divide by 2

2x/2 <8/4

x <4

Now solve the other

5x + 3 < 3

Subtract 3

5x +3-3 < 3-3

5x<0

x <0

Recombine

x<4 and x<0

We go with the more restrictive  and merge the overlapping interval since we have an and

x<0

Answer:

0.009 mm

Step-by-step explanation:

Find the difference between the two values.

0.03 - 0.021

0.009 mm more gold coating must be added to finish the ring.

Answer:

The standard form of this slope-intercept form is x + 4y = 16.

Answer:

x + 4y =16

Step-by-step explanation:

[tex]y= \frac{-1}{4}x+4[/tex]

Multiply by 4

[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]

4y = -x + 16

x + 4y =16

Answer:

9

Step-by-step explanation:

The distance from the x axis is from the point (8,0)

d = sqrt( (8-8)^2 + (-9-0)^2)

   = sqrt(0+ 81)

   = sqrt( 81)

    =9

Answer:

8

Step-by-step explanation:

8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis

Hope this helps

Answer:

Answer A is the first step

Step-by-step explanation:

Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.

Answer: it’s b

Step-by-step explanation:

Answer:

Hello!

~~~~~~~~~~~~~~~

3^x+x³=17

=  x = 2

Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.

Hope this helped you! Brainliest would be nice! ❤︎

Answer:

translation

Step-by-step explanation:

Answer: C) 52.8 and 88

Step-by-step explanation:

Simply multiply both dimensions(24 and 40) by 2.2 to get 52.8 and 88.  Thus the answer is C.

Hope it helps <3

Answer:

Third Choice 52.8 cm by 88 cm

Step-by-step explanation:

Multiply each dimension by the scale factor.

24 cm * 2.2 = 52.8 cm

40 cm * 2.2 = 88 cm

Answer:

Answer:

False.

Step-by-step explanation:

Just look at them. They aren't even similar.

A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the  measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.

Hence, the given statement is false.

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Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2

Step-by-step explanation:

The common fraction for the given expression is 60/47.

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given that an expression, 3*(4*5) such that, a*b= ab/a+b

Solving the expression as per the given formula,

4*5 = 4×5/(4+5) = 20/9

Now,

3*(4*5) can be written as, 3*20/9

Therefore,

3*20/9 = 3×20/9/(3+20/9)

= 20/3×9/47

= 60/47

Hence, the common fraction for the given expression is 60/47.

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Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Answer: A

Slope = -6

Step-by-step explanation:

Given that the column of the table are:

Column X (-2,-1,0,1,2) and

Column Y (8,2,-4,-10,-16) 

Since the table represent a linear function, the equation of the function will obey the general linear equation

Y = MX + C

Where M = slope

M = ( Y2 - Y1 ) / ( X2 - X1 )

Let Y1 = 8, Y2 = 2 and X1 = -2 and X2 = -1

Substitutes all the parameters into the formula

M = ( 2 - 8 )/( -1 - - 2 )

M = ( 2 - 8 ) / ( -1 + 2 )

M = -6/1

M = -6

Therefore, the slope of the function is -6

Step-by-step explanation:

i think the answer is -3 only

Answer:

second option

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin.  The rotation can be done either clock-wisely or counterclockwise about the origin.

If the given triangle is rotated 90° clockwise, the rule that describe the transformation is; (x, y) - (y, -x)

If the given triangle is rotated 90° counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)

In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of 90° about the origin.

Hence, The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.

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Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

mROP= 125°

mSOQ= mROP= 125°

mROQ=mPOS= 180°-125°= 55°

Sum of measures of all arcs in the circle= 2π

mRP= mQS=2π*125/360=25/36π

mQR=mPS=2π*55/360=11/36π

mPRQ= half circle= 2π/2= π

mRPQ= 2π-mQR= 2π- 11/36π= 61/36π

Answer:

the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

option c is the correct ans as there is given similar sign with two triangle.

Answer:

$3,033.56

Step-by-step explanation:

(see attached for reference)

The formula for compound interest is given by

A = P [ 1 + (r/n) ]^(nt)

Where,

A = final amount (we are asked to find this)

P = principal = given as $1500

r = annual interest rate = 9% = 0.09

n = 2 (for compounding semi-annually)

t = time, given as 8 years

Substituting the above into the equation:

A = P [ 1 + (r/n) ]^(nt)

A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]

A = 1500 [ 1.045) ]^[16]

A = $3,033.56

Answer:

Answer should be A

Step-by-step explanation:

-7/2 divided by 49/4

Change in temperature per hour would be found by dividing the change in temperature by the amount of time.

Rewrite the numbers as improper fractions and the answer would be d.

-49/4 / 7/2

Answer:

3

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Answer:

option c is the correct ans .

because we can easily substitute the value of y in equn 2 to get value of x..

Answer:

To me, the third one is the best.

Note:  y has  been made subject of formula which makes it easy to substitute it into equation 2 and find x .

Step-by-step explanation:

Answer:

D  The IQR for town A is less than the IQR for town B

Step-by-step explanation:

A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)

Answer:

4

Step-by-step explanation:

Given

-5, -20, -80, .....

Required

Determine the common ratio

The common ratio of a sequence is determined by dividing a term by its immediate previous term;

Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r

From the analysis above;

[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]

Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]

[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]

[tex]r = 4\ or\ r = 4[/tex]

Both values of r are the same;

Hence, the common ratio of the sequence is 4

Answer:

The ordered pair (e₁, e₂) is (6, 8).

Step-by-step explanation:

Consider the pathway attached below.

It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.

    e₁ :    1              3             5              7        ...

P (e₁) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 1 is:

[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]

The sum series e₁ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₁ is:

[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]

It is provided that Fred always moves to 1 if he at step 2.

    e₂ :    2             4             6              8        ...

P (e₂) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 2 is:

[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]

The sum series e₂ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₂ is:

[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]

Thus, the ordered pair (e₁, e₂) is (6, 8).

Answer:

(3, 4)

Step-by-step explanation:

For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.

[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]

This equation eventually equals to 3, so e_1 is equal to 3.

For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.  

Answer:

21.5

Step-by-step explanation:

Arrange numbers from smallest to largest:

56, 65, 69, 77, 79, 82, 88, 89, 90

The interquartile range is the range in the middle of the data set, we can find it by knowing the upper and lower quartiles.

56, 65, 69, 77, 79, 82, 88, 89, 90

(65+69)/2 = 67

(88+89)/2 = 88.5

The interquartile range:

88.5 - 67

= 21.5

Answer:

2.8

Step-by-step explanation:

√(-√2-1)²+(0-√2)²