The mass of lab sample A is 2.4 x 10^-2 kg. The mass of lab sample B is 3.6 x 10^2 kg. Given that information, Jason says that sample B is 15 times the mass of sample A. Narissa asserts that sample B is 15,000 times that of sample A. Julius states that sample B is 1.5 times greater than sample A.

Compare the masses of the two samples to decide who is correct. State which person is correct and explain your answer using mathematics.

Answer:

Slope-Intercept: C,H,F,I,P,T

Standard: B,D,K,N,O,Q,S

Point-Slope: A,E,G,F,L,M,R

Step-by-step explanation:

Anything with the Y on one side of the equation and an X on the other is Slope-Intercept.

All the standard equations are the ones with the terms (X and Y) on one side of the equation, and a real number on the other.

The Point-Slope are all equations containing a Y value on one side, and an undistributed X value on the other.

After the reflection over the line x = 0, the coordinates will be:

J' = (2, 1)

K' = (0, 4) = K

For any point (x, y), if we apply a reflection across the line x = 0, the image after the reflection will be (-x, y).

So it only changes the sign of the x-component.

In the graph, we can see that J = (-2, 1). So after the reflection, we will have:

J' = (2, 1).

And we also can see that K = (0, 4), then after the reflection, we have:

K' = (-0, 4) = (0, 4) = K

So point K does not change under that reflection.

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Answer:

h = 14.4

Step-by-step explanation:

4h=57.6

Divide each side by 4

4h/4 = 57.6/4

h = 14.4

Answer:

See explanation

Step-by-step explanation:

Always divide the constant by itself and the value it equals.

1) Divide both sides by 4.

[tex]h=\frac{57.6}{4}[/tex]

2) Simplify [tex]\frac{57.6}{4}[/tex] to [tex]14.4[/tex].

h = 14.4

To check our answer,

4h = 57.6

1) Let h = 14.4

4 * 14.4 = 57.6

2) Simplify 4 × 14.4 to 57.6.

57.6 = 57.6

3

Step-by-step explanation:

there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.

Using the tangent theorem and the inscribed angle theorem, we have:

a. m∠SQT = 74°; b. m∠RQS = 16°.

Angle formed at the point of tangency between the tangent and the radius of a circle = 90 degrees based on the tangent theorem.

The inscribed angle theorem states that, measure of inscribed angle = 1/2(measure of intercepted arc).

a. Find m(SQT):

m∠RQT = 90° [tangent theorem]

m(QR) = 180° [semicircle]

m(QRS) = 212° [given]

m(RS) = m(QRS) - m(QR) = 212 - 180 = 32°

m∠RQS = 1/2[m(RS)] [inscribed angle theorem]

m∠RQS = 1/2(32)

m∠RQS = 16°

m∠SQT = m∠RQT - m∠RQS = 90 - 16

m∠SQT = 74°

b. m∠RQS = 1/2(32)

m∠RQS = 16°

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Answer:

D. a=1 and b=4

Step-by-step explanation:

x^2-2x+(-2/2)^2 =3+(-2/2)^2

x^2-2x+(-1)^2=3+(-1)^2

x^2-2x +1 =4

(x-1)^2=4

Therefore a=1 and b=4

Answer:

see below

Step-by-step explanation:

If it decreases at  10.5 % per year then 89.5 % remains

Value =      y =  35 300 ( .895)^x

value when x = 5.5      y =  $ 19177.92

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.

Multiply the row of the first matrix with the column of the second to have:

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

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Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

the bases are the 2 parallel sides.

in our case the area of one trapezoid is

(5 + 19)/2 × 12.1 = 145.2 ft²

front and back together then are 290.4 ft².

left and right are 8×14 rectangles:

8×14 = 112 ft²

together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

19×8 = 152 ft²

so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

Answer: 104 degrees

Step-by-step explanation:

Answer:

The answer is 6...Hope this might help you

Answer:

Check the attached image for your answer.

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=r \theta[/tex]

[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]

Calculation

Given:

[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}[/tex]

Answer:

the answer willl be D

Step-by-step explanation:

Answer:

[tex]x=-72[/tex]

Step-by-step explanation:

[tex]-\frac{x}{8}-11=-2\\ -\frac{x}{8}=9\\ -x=72\\x=-72[/tex]

Answer:

B = 48

Step-by-step explanation:

8 x 6 = 48

hope this helps!

The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be 796.94 cubic mm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The graph is given below.

The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be

Volume = [(πr²/2) + a x b] x h

Volume = [(π x 4.5²/2) + 9 x 2] x 16

Volume = [10.125π + 18] x 16

Volume = 48.808 x 16

Volume = 796.938

Volume ≅ 796.94 cubic mm

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Answer:

x = 63

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

Applying the Angle Sum of Quadrilaterals,

Step-by-step explanation

Here ...I'm not too sure about the question as you have written

P = 2 ( 1 + 6 ) and ask to solve for L ...

.So I guess the question you have written is wrong .. ...and I guess there should be L in the place of 1.

...So let me correct the question....

P = 2 ( l + 6 )

P = 2l + 12

P - 2l = 12

- 2l = 12 - P

- 2l = - P + 12

Change the sign of both side of the equation...

2l = P + 12

divide both side by the same number...

L = ( P + 12 ) ÷ 2

[tex]l = \frac{1}{2} p - 12 \times \frac{1}{2} \\ [/tex]

Calculate the product of rational numbers...

[tex]l = \frac{1}{2} p - 6 \\ [/tex]

original equation

[tex]\frac{x}{2}-\frac{3x}{4}+\frac{x}{6}=-\frac{2}{3}[/tex]

multiply by lcd

[tex]12(\frac{x}{2})-12(\frac{3x}{4})+12(\frac{x}{6}) =-12(\frac{2}{3})\\\\6x-9x+2x=-8[/tex]

isolate for x

[tex]-1x=-8\\\\x=8[/tex]

verify

[tex]\frac{8}{2}-\frac{3(8)}{4}+\frac{8}{6}=-\frac{2}{3}\\\\4-6+\frac{4}{3}=-\frac{2}{3}\\\\4-2+\frac{4}{3}=-\frac{2}{3}\\\\-\frac{2}{3}=-\frac{2}{3}\\\\LS=RS[/tex]

Answer:

The system of equation has infinite solution.

Step-by-step explanation

2x + y = 3

6x = 9 – 3y

First we re-write the second equation in standard form

So, we add 3y both sides

6x+3y=9 ---------------- (2)

2x+y = 3-----------------  (1)

3(2x)+3y = 3(3)

6x+3y=9

6x-6x + 3y-3y = 9-9

0=0

LHS=RHS

This is true statement. If statement is true then infinite number of many solution.

Answer:

infinite

Step-by-step explanation:

acellus

The computation of the word problem shows that the oranges that John will have in 12 weeks will be 70 oranges.

The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks?

The computation will be:

= 10 + 5x

where x= number of weeks.

= 10 + 5x

= 10 + 5(12)

= 10 + 60

= 70 oranges

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The percentage of simulations where the average for group A is at least 1.6 lower than the average for group B is 48%.

The following are the data points from the histogram where the average of group A is at least 1.6 less than average of group B.

At least -1.6 lower implies -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, 0, 1, etc.

Outcome of simulations = 1 + 8 + 16 + 23 = 48

Percentage of simulation = outcome/total x 100%

Percentage of simulation =  (48 x 100%)/100

Percentage of simulation =  48%

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The least amount that Bill must pay to buy the tiles he needs is $292.50

The total cost of buying the tiles individually is : cost per tile x total tiles needed

$0.40 x 864 = $345.60

The total cost of buying the tiles in a box of 100 is : $32.50 x 9 = $292.50

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Answer:

Volume of a cone = (1/3) πr³

r = radius = d/2 = 2/2 = 1 ft

Volume = (1/3) * π * 1³

volume = 1.04 cubic ft

Answer:

1) 1/2or 50%
2) 38/50 or 76%
3) 38/60 or 63%
4) not sure tbh

Step-by-step explanation:

Here is the basic salary-to-hourly formula for this method: First, divide the employee’s annual salary by 52 weeks (the number of weeks in a year). Divide the weekly wages by 40 hours.

Step-by-step explanation:

it's either 3 or 2 probably

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.