What is the volume of a cube with a cross section parallel to its base that has an area of 144 square inches?
A.216 cubic inches
B.36 cubic inches
C.432 cubic inches
D.1728 cubic inches

5 days/8 days = 0.625 half lives

fraction left after 0.625 half lives = (1/2)^0.625

= 0.6484197773

Amount left = 27 x 0.6484197773 gms

= 17.51 gms to dp <<<

Answer:

x = 35

Step-by-step explanation:

(-6/5) x - 4 = -46

(-6/5) x - 4 + 4 = -46 + 4

(-6/5) x = -42

5(-6/5) x = 5(-42)

-6x = -210

-6x/6 = -210/-6

x = 35

x = 0.25 , y= -0.5 , (x, y) represents the point (0.25,-0.5) in fourth quadrant of the cartesian plane as shown in the graph below attached.

What are cartesian coordinates in two dimensions ?

A Cartesian coordinate system in two dimensional is defined by x and y axes. Any point in the  coordinate system is defined by a perpendicular distance from  the x and y axes, (x, y). x and y  axes intersect at the point where the value of  x and y both is zero; this is called the origin (0,0)

Given ordered pair is ( 1/4, -1/2)

put (x,y) = ( 1/4, -1/2)

x= 1/4 =0.25  and y =(-1/2) = -0.5

This point lie in 4th quadrant

The point in the attached file represents  the given point.

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Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

10.3

Step-by-step explanation:

Answer:10.3

Step-by-step explanation:

a) There are 16 possible outcomes.

b) The probability that exactly two heads occur is 37.5%

c) The probability that exactly one head occurs is 25%

We toss a coin 4 times, each with two possible outcomes: heads and tails.

Use the multiplication rule:

2×2×2×2= 16

Thus there are 16 possible outcomes.

Let us first list all 16 possible outcomes.

abcd represents a possible outcome with a the outcome of the first toss, b the outcome of the second toss, c the outcome of the third toss, and d the outcome of the fourth toss.

Let H be heads and T be tails.

{HHHH, HHHT,HHTH ,HHTT ,HTHH ,HTHT,HTTH,HTTT, THHH,THHT,THTH,THTT,TTHH,TTHT,TTTH,TTTT }

​We are interested in the outcomes that have exactly two heads:

HHTT,HTHT,HTTH,THHT,THTH,TTHH

We then note that 6 of the 16 possible outcomes contain exactly two heads.

The probability is the number of favorable outcomes divided by the number of possible outcomes:

P =6/16=3/8=0.375= 37.5%

We are interested in the outcomes that have exactly one head:

HTTT, THTT, TTHT, TTTH

We then note that 4 of the 16 possible outcomes contain exactly one head.

The probability is the number of favorable outcomes divided by the number of possible outcomes:

P =4/16=1/4=0.25= 25%

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Answer:

true lol

Step-by-step explanation:

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

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

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Answer:

Step-by-step explanation:

because you know that the exponent is 20 and that is  n*t...  and you can see that n= 2  in the equation

you know it's been collecting interest for 10 years  

Answer:

4.62 ? if we're not rounding to the nearest tenth

exact:

4.61867098

so here we get two outcomes one is 2 and other is 4.

so there is total 2 outcomes.

total no. of possibility is 5

so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.

Answer:

y = 3.3x

Step-by-step explanation:

for the table we can determine that every hamburger delivery takes five minutes

you can do this by dividing 4 by 0.8 which gets you five

the pizza deliverys speed can be figured out by dividing 50 by 15

this gets you 3.33...

therefore y = 3.3x would be your answer as the pizza delivery is faster

Assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

Recall:

What is done to both sides of an equation will determine what property of equality was applied to the equation.

a + 2 = y

(a + 2)/3 = y/3

Observing the equation stated above, we will see that both sides of the equation was divided by three. This makes both sides equal.

Therefore, assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

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The student who plays musical instruments is more likely to play sports than to not play sports.

The two-way frequency table below shows data on playing a sport and playing a musical instrument for students in a class.

The probability of the students who play a musical instrument will be

P(play a musical instrument) = 0.5416 or 54.17%

The probability of the students who don't play a musical instrument will be

P(don't play musical instrument) = 0.4583 or 45.83%

Thus, the student who plays musical instruments is more likely to play sports than to not play sports.

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We will find the quotient and remainder as follows:

The quotient is 749 and the remainder is 2.

Answer:

4.82 Estimated 4 people

Step-by-step explanation:

Total number of medals= 12+ 36+18= 66

66/45x65/44x64/43x63/42= 4.819955

Answer:

Qualitive

Step-by-step explanation

‘this is because x is negative and graphed it is positive

-University of Indiana Professor

The solution is, (X*b+a)/b = X a/b, is an equation that represents each mixed number as a sum of whole numbers and unit fractions.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

let,

X= whole numbers

a/b= unit fractions

X a/b-- >mixed number

equation=(X*b+a)/b

so,

1 ⅚=(1*6+5)/6

    =11/6

4 1/4 = (4*4+1)/4

       =17/4

Hence, the answer is (X*b+a)/b.

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Answer:

\( 300000= 100000 e^{0.12 t}\)

We divide both sides by 100000 and we got:

\( 3 = e^{0.12 t}\)

Now we can apply natural logs on both sides;

\( ln(3) = 0.12 t\)

And then the value of t would be:

\( t = \frac{ln(3)}{0.12}= 9.16 years\)

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

\(A =P e^{rt}\)

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means \( A= 300000\) and we want to find the value for t.

\( 300000= 100000 e^{0.12 t}\)

We divide both sides by 100000 and we got:

\( 3 = e^{0.12 t}\)

Now we can apply natural logs on both sides;

\( ln(3) = 0.12 t\)

And then the value of t would be:

\( t = \frac{ln(3)}{0.12}= 9.16 years\)

And rounded to the nearest tenth would be 9.2 years.

i cant see anything but dashes..

Step-by-step explanation:

I think the 2nd one is the correct

The options Patel has to solve the quadratic equation 8x² + 16x + 3 = 0 is x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot.

8x² + 16x + 3 = 0

8x² + 16x = -3

8(x² + 2x) = -3

8(x² + 2x + 1) = -3 + 8

8(x² + 1) = 5

(x² + 1) = 5/8

(x + 1) = ± √5/8

x = -1 ± √5/8

Therefore,

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

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The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

The answer is "0.7616".

Step-by-step explanation:

Using formula:

\(\text{P( at least one de-fective) = 1 - P( all calculators work )}\)

                                          \(= 1-(\frac{34}{48}\times \frac{33}{47}\times \frac{32}{46}\times \frac{31}{45})\\\\= 1-(\frac{34}{1}\times \frac{11}{47}\times \frac{1}{23}\times \frac{31}{45})\\\\=1-(\frac{11594}{48647})\\\\=\frac{48647-11594}{48647}\\\\=\frac{37051}{48647}\approx 0.7616\)

The volume of the rectangular prism with length of 5 units, width of 4 units and height of 3 units is 60 unit³

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Volume is the amount of space occupied by a three dimensional side or object.

Let us assume that the rectangle prism have length of 5 units, width of 4 units and height of 3 units. Hence:

Volume of prism = length * width * height

Volume = 5 units * 4 units * 3 units = 60 unit³

The volume is 60 unit³

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The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Answer:

1. work is the time it takes to move an object once acted upon by a force

The Boolean expression A >= B is equivalent to  !(A < B) (option A)

To simplify a Boolean expression, use De Morgan's Law.

De Morgan's Law is used to simplify or find the equivalent of a negation of compound expressions.

The principle is:

NOT (A AND B) is equivalent to (NOT A) OR (NOT B)

NOT (A OR B) is equivalent to (NOT A) AND (NOT B)

When the expression involves >, <, = signs, then to simplify the expression, move the not and flip the sign.

! is the symbol of negation or NOT.

Hence,

! (>) becomes <=

! (<) becomes >=

Here are some examples:

!(A > B) is equivalent to (A <= B)

!(A <= B) is equivalent to (A > B)

!(A >= B) is equivalent to (A < B)

!(A == B) is equivalent to (A != B)

!(A != B) is equivalent to (A == B)

!(A < B) is equivalent to (A >= B)

From the above list we can conclude that A >= B is equivalent to !(A < B) (option A)

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