Carl used 24 blocks to build a tower. Each block is a cube with side length of 2 inches. Use the formula v = s3 to find the volume of a cube. What is the volume of the tower?

9514 1404 393

Answer:

  D  neither

Step-by-step explanation:

Reflection across a vertical line is required to change the figure left-to-right without changing it top-to-bottom. Translation along a directed line segment must then map corresponding points.

Sequence A involves reflection over a horizontal line, so can be rejected immediately. Sequence B does the translation so that point N gets moved to the location of point B. However, point N corresponds to point D (see the similarity statement), so that translation is inappropriate.

Neither sequence will map KLMN to ABCD.

5.56 Celsius

Explanation

To convert temperatures in degrees Fahrenheit to Celsius, subtract 32 and multiply by 0.55556 (or 5/9)

then

Step 1

subtract 32

Step 2

multiply by 5/9

I hope this helps you

Answer:

Step-by-step explanation:

Accοrding tο bank statement and the depοsits made the depοsit in transit vaIue is $1,857.

Cash and cheques that have been received and dοcumented by an entity but haven't yet been recοrded in the bοοks οf the bank where the funds are depοsited are referred tο as "depοsits in transit."

Tο determine the depοsit in transit, we need tο recοnciIe the bank statement baIance with the Cash accοunt baIance in the Iedger.

Starting with the Cash accοunt baIance οn August 1 -

Cash baIance, August 1: $18,580

Add: August depοsits: $71,180

Subtract: Checks cIeared in August: $68,613

SubtοtaI: $21,147

Add: Interest earned: $110

Subtract: Safety depοsit bοx fee: $90

Subtract: Service charge: $115

Adjusted baIance, August 31: $21,052

Next, we can recοnciIe the Cash accοunt baIance in the Iedger with the bank statement baIance as οf August 31 -

Cash baIance, August 1: $18,880

Add: August receipts: $74,180

Subtract: August disbursements: $73,505

Adjusted baIance, August 31: $19,555

The οnIy recοnciIing items frοm the JuIy 31 bank recοnciIiatiοn were a depοsit in transit fοr $4,865 and οutstanding checks οf $4,565.

Therefοre, we can assume that these items have been cIeared by August 31 and dο nοt need tο be cοnsidered in the current recοnciIiatiοn.

Hοwever, there was an errοr invοIving a cοmpany check drawn in August fοr $400 that was jοurnaIized and pοsted fοr $40.

This needs tο be cοrrected tο prοperIy recοnciIe the bank statement.

Adjusted baIance, August 31: $19,555

Subtract: Cοrrected amοunt οf cοmpany check: $360 ($400 - $40)

Adjusted baIance after cοrrectiοn: $19,19

Nοw, we can cοmpare the adjusted baIance in the Iedger with the adjusted baIance οn the bank statement -

Cash baIance, August 31 (Iedger): $19,195

Cash baIance, August 31 (bank statement): $21,052

The difference between these twο baIances is $1,857, which represents the depοsit in transit.

Therefοre, the depοsit in transit is $1,857.

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Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

it's 3

Step-by-step explanation:

The slope is rise/run, so up 3, over 1.

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Given dimensions of the room:

Length: \(\displaystyle\sf 12.5 \,m\)

Width: \(\displaystyle\sf 9 \,m\)

Height: \(\displaystyle\sf 7 \,m\)

Area of each wall:

\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)

\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)

Area of each door:

\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)

Area of each window:

\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)

Total area occupied by doors:

\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)

Total area occupied by windows:

\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)

Total wall area excluding doors and windows:

\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)

\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)

\(\displaystyle\sf = 275 - 6 - 6\)

\(\displaystyle\sf = 263 \,m^2\)

Cost of painting the walls:

\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)

\(\displaystyle\sf = 263 \times 3.50\)

\(\displaystyle\sf = 920.50 \,Rs\)

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The equivalent equations  are;

For equations to be equivalent they must be reduced to obtain the same terms. Thus if the terms that are found on an equation are not similar it is not possible to think that the equations are by any means equivalent.

Given the four equations as we have them in the question, the following equations are equivalent;

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Answer:

a = -30

d = -32 - (-30) = -2

n = 96

So, using A.P. formula-

Tn = a + (n-1) d

T96 = -30 + (96-1) -2

T96 = -30 + (95) -2

T96 = -30 - 190

T96 = -220

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To represent a circle with a diameter of 12 units and a center that lies on the y-axis, we can use the standard form of the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius.

If the center of the circle lies on the y-axis, then the x-coordinate of the center is 0. Also, since the diameter is 12 units, the radius is 6 units.

Using these values, we can eliminate the equations that do not meet these conditions:

- x2 + (y – 3)2 = 36: This circle has a center at (0, 3), which is not on the y-axis.

- x2 + (y – 5)2 = 6: This circle has a center at (0, 5), which is not on the y-axis.

- (x – 4)² + y² = 36: This circle has a center at (4, 0), which is not on the y-axis.

- (x + 6)² + y² = 144: This circle has a center at (-6, 0), which is not on the y-axis.

- x2 + (y + 8)2 = 36: This circle has a center at (0, -8), which is on the y-axis.

Therefore, the two equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are:

- x2 + (y + 8)2 = 36

- x2 + (y - 8)2 = 36

Note that the second equation is also valid, since the center of the circle can also be located at (0, -8).

Answer: y = -1

Step-by-step explanation:

Any vertical line's equation is 'y ='

You would get -1 by looking at the line's position on the y-axis

Hope that helps!

Answer:

J)  \(\frac{17}{24}\)

Step-by-step explanation:

\(\frac{3}{8} +\frac{1}{3} \\\\\frac{9}{24} +\frac{8}{24} = \frac{17}{24}\)

Find the common denominator ^^

Answer:

17/24

Step-by-step explanation:

3/8× 3/3=9/24

1/3×8/8=8/24

8/24 +9/24= 17/24

Answer:

sociology=169

psychology=87

Stuff does not equal money, and debt makes people look better off than they are.

To build up wealth, you must apply the following principles:

1. Do not overspend your earnings.

2. Gradually grow your income.  

3. Ensure you develop a monthly cash flow budget.

4. Plan your spending.

5. Do not borrow or enter into debt to show off.

6. Ensure that you set aside some savings monthly.

7. Do not lavish your extra incomes; spend them purposely.

Thus, acquiring things does not make a person wealthy unless the property generates periodic income.

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Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

The inequality system that is represented in the graph are-

y < -x -1 and y ≤ x + 2.

Consider two point on dotted line.

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

Fine slope m:

m = (1 - 0)/(-2 + 1)

m = -1

Equation of line:

y - 0 = (-1)(x + 1)

y = -x -1

In the  inequality system.

y < -x -1

Consider two point on bold line.

(0,2) and (-2, 0)

Fine slope m:

m = (0 - 2)/(-2 -0)

m = 1

Equation of line:

y - 2 = (1)(x + 0)

y = x + 2

In the inequality system.

y ≤ x + 2

Thus, the inequality system that is represented in the graph are-

y < -x -1 and y ≤ x + 2.

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Answer:

48 yd²

Step-by-step explanation:

The shaded region is a trapezoid

Area of shaded region = area of the trapezoid

Area of trapezoid = ½(a + b)h

a = 6 yd

b = 10 yd

h = 15 - 9 = 6 yd

Area of trapezoid = ½(6 + 10)6

= ½(16)6

= 48 yd²

Area of the shaded region = 48 yd²

The solution of the given inequality is y ≤ -3.

The given inequality is -

3y ≤ −9

We have to solve this given inequality.

Now, we have the inequality as -

3y ≤ −9

=> y ≤ -3

Thus, the solution of the given inequality is y ≤ -3.

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Answer:

  a) $975

  b) growth

  c) 0.3% per month

  d) 6 months: $992.68; 12 months: $1010.68

  e) 8.5 months

Step-by-step explanation:

Given the formula for the monthly balance in a savings account is b = 975(1.003^m), you want the initial deposit, the monthly growth rate, the balance after 6 and 12 months, and the time until the account has a value of $1000.

The general form of an equation for exponential growth is ...

  value = (initial value) × (growth factor)^(time periods)

     where (growth factor) = 1 + growth rate per time period

Comparing this form to the given equation, we can identify the parts:

  value = b, the monthly balance

  initial value = 975, the amount Michael opened the account with

  growth factor = 1.003 per month; time periods are months

  growth rate = 0.003 = 0.3% per month

From our analysis of the equation, we see that the opening deposit is $975.

The growth rate is positive, so this is a case of exponential growth.

The growth rate per month is 0.3%. The monthly interest rate is 0.3%.

We can find the balance after 6 and 12 months by evaluating the formula for those values of m.

To find the time it takes for the balance to reach 1000, we must solve the equation for m. Since m is an exponent, logarithms are involved.

  1000 = 975(1.003^m)

  1000/975 = 1.003^m . . . . . . divide by 975

  log(1000/975) = m·log(1.003) . . . . take logarithms

  m = log(1000/975)/log(1.003) . . . . . divide by the coefficient of m

  m ≈ 8.5 . . . . months

It will take about 8.5 months for the account balance to be $1000.

__

Additional comment

The relevant rule of logarithms is ...

  log(a^b) = b·log(a)

Logarithms were invented for the purpose of transforming multiplication problems into addition problems. When exponents are involved, that means exponential problems are transformed to linear problems. That's what we're doing here.

We have left log(1000/975) as a log expression. We could have replaced it with a number. That might better help you see the simplicity of the equation for m:

  0.0109954 = 0.00130093·m

As with all such equations, you find the value of the variable by dividing both sides by its coefficient.

You need to be careful with precision. These numbers are rounded to 6 significant figures. Their ratio is good to 4 significant figures. We let the calculator figure the value from the log expressions so we get the best possible accuracy.

Answer:

Step-by-step explanation:

The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.

Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.

Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths

So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.

1) 3

2) 4

3) 5

4) 6

5) 7

6) 8

7) 9

For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.

Answer:

Cell A = 72

Cell B = 96

Step-by-step explanation:A regular octagon has 8 sides that are if equal length. Perimeter of any given octagon with side length, s, can be calculated using this equation that shows the relationship between its side lenght (s) and perimeter (P):

To complete the table, simply plug in the value of a in each case.

For Cell A, when s = 9,

For Cell A, when s = 12,

Answer: A:72,96  B: She Will Need 160 Inches Of Wire.

Step-by-step explanation: 20x8=160

Henry's chances of getting a second turn when he rolls the number cubes are 1/9 or approximately 11/18.

To find Henry's chances of getting a second turn when he rolls the number cubes, we need to find the probability of rolling an even number less than 10.

First, let's find the total number of possible outcomes when rolling two number cubes. Each cube has 6 possible outcomes (1, 2, 3, 4, 5, or 6), so the total number of possible outcomes is 6 x 6 = 36.

Next, let's find the number of outcomes that meet the criteria for a second turn (even number less than 10). We can list out all the possible outcomes that meet these criteria:

2 (1+1)

4 (1+3 or 2+2)

6 (1+5 or 2+4 or 3+3)

8 (2+6 or 3+5 or 4+4)

So, there are 4 outcomes that meet the criteria for a second turn.

To find the probability, we divide the number of favourable outcomes (4) by the total number of possible outcomes (36).

4/36 = 1/9

So Henry's chances of getting a second turn when he rolls the number of cubes are 1/9 or approximately 11/18.

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Answer:

DGF = 106

Step-by-step explanation:

Bisects means to divide in half, with two equal parts

DGF = DGE + EGF

DGE = EGF

DGF = DGE + DGE

DGF = 53+53

DGF = 106

GE bisects ∠DGF, so it divides ∠DGF into 2 equal parts.

So, m∠EGF = m∠DGE

=> m∠EGF = 53°

m∠DGF = m∠EGF + m∠DGE

=> m∠DGF = 53° + 53°

=> m∠DGF = 106°

Answer:

105 students

Step-by-step explanation:

7/50 = x/750

(7 * 750)/50 = 5250/50

= 105

Step-by-step explanation:

22.99 × 2 + 2.02 + 16 × 2 + 26= $106