This figure represents the base of an fish tank that is 6 inches high.

What is the volume of the fish tank?


390 in³

330 in³

270 in³

240 in³

Image shows a polygon that looks like a rectangle with a triangle attach to the lower right side of it. The polygon has 5 sides. The left side is 5 inches tall. The bottom side is perpendicular to the left side and is 12 inches. The top is perpendicular to the left side also and is 7 inches tall. On the right side, a side is perpendicular to the top side and is 3 inches long. It looks like it stops almost midway on the right side. Then finally the last side attaches the 3 inches segment to the bottom side. This slant side is not labeled.

Answer:

1. ac = 36

2. b = 13

3. 4 and 9

Step-by-step explanation:

Given

6x² + 13x + 6

Required

Fill in the gaps

Solving (1): The value of AC

The general form of an equation is:

ax² + bx + c

By comparison:

a = 6

b = 13

c = 6

So,

ac = a * c

ac = 6 * 6

ac = 36

Solving (2): The value of b

In (1) above, we showed that

b = 13

Solving (3): Two numbers that satisfy product ac and sum b

We have that.

ac = 36

If one of the numbers is 4, then the other number is

Other number = 36/4

Other number = 9

Alternatively, we have that.

b = 13

If one of the numbers is 4, then the other number would be:

Other number = 13 - 4

Other number = 9

Answer:

ac = 36

b = 13

The two numbers that have a product of ac and a sum of b are 4 and 9

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

B    the aswer is 10.

Step-by-step explanation:

Answer:

The equation is y = 2/3x - 1

Step-by-step explanation:

To build the equation, we know the slope is -2/3, so that is done for us already. Now we just need the y-intercept, which is -1, which is the only way to get it to cross the point (-9, 5). So, the equation would be y = 2/3x - 1, while still meeting all of the qualifications. I hope this helps, and I hope it's not right, but I do not think it is.

The position of the cell phone tower is an illustration of the triangle midpoint

The cell phone tower should be located at  \((9, \frac 83)\)

The coordinates are given as:

A(1, 1), B(13, 6), and C(13, 1)

The midpoint is then calculated as:

\((x,y) = \frac 13 * (x_1 + x_2 + x_2, y_1 + y_2 + y_3)\)

So, we have:

\((x,y) = \frac 13 * (1 + 13+ 13, 1 + 6 +1)\)

Evaluate the sum

\((x,y) = \frac 13 * (27, 8)\)

Evaluate the product

\((x,y) = (9, \frac 83)\)

Hence, the cell phone tower should be located at  \((9, \frac 83)\)

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Answer:

48.5

Step-by-step explanation:

Answer:

12xy - 4x - 2y

Step-by-step explanation:

9xy - 4x + 3yx - 2y

3yx can be written as 3xy so we have:

12xy - 4x - 2y

1cm = 0.01m

1m = 100 cm

The decimal equivalent for a meter and a centimeter are 1 cm = 0.01 meters and 1 meter = 100 centimeter.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

Two units of length measurement are meters and centimeters

The units meter and centimeters can be used to measure the length.

There are many more units for measuring the length are feet, kilometers, millimeters, meters, centimeters,  etc

As we know,

1 meter = 100 centimeter

1 cm = 1/100 meters

1 cm = 0.01 meters

Thus, the decimal equivalent for a meter and a centimeter are 1 cm = 0.01 meters and 1 meter = 100 centimeter.

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Answer:

a=-24

Step-by-step explanation:

a/-6+8=12

a/-6=4

a=-24

Answer:

A=-24

Step-by-step explanation:

you have to take 8 out of 12 which equals 4

then you multiply 4 by -6 which equals -24 and that's your solution

Answer:

The mean of X is 164.5 and the standard deviation is 9.34.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not. The probability of an adult believing this is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Suppose that a recent poll found that 47​% of adults believe that the overall state of moral values is poor.

This means that \(p = 0.47\)

350 randomly selected​ adults

This means that \(n = 350\)

What is the mean of X and the standard deviation of X?

Mean:

\(E(X) = np = 350*0.47 = 164.5\)

Standard deviation:

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{350*0.47*0.53} = 9.34\)

The mean of X is 164.5 and the standard deviation is 9.34.

Answer:

Step-by-step explanation:

−9.71 + 2.8 = -6.91

Answer:

6.91.

9.71

2.8

6.1

if you subtract 9.71 from 2.8 keep everything in point

Answer:

1: equivalent

2: equivalent

3: not equivalent

Step-by-step explanation:

for 1 & 2, you just switch the terms, but for 3, the 6z is not negative in the first expression, but it is in the second.

Answer:

$18.75

Step-by-step explanation:

Let

y = Total cost

x = number of kilometers

The equation:

y = 3.75 + 1.50x

If x = 10 km

y = 3.75 + 1.50(10)

= 3.75 + 15

= 18.75

y = $18.75

y = Total cost = $18.75

Answer:

6,780.00 is right answer try it

The dimensions of the box that minimize total cost are height h =3.17m, width, w and length, l=9.52m  are equal to  .

Let h is the height of the box.

Given Volume of the box is 216 m³  with no top.

And the cost of the bottom is 40USD/m².

For the sides, it is 30USD/m².

The bottom of the box is square, so l = w.

So Volume

\(V=hl^{2}\)

\(216=hl^{2}\)

\(h=\frac{216}{l^{2} }\)

Now Surface Area of the box without a top is

S = 4hl + l²

So,

cost = 4 × 30hl +40l²

cost = 120 hl + 40 l²

Putting h ,

cost = 120 × \((\frac{216}{l^{2} })l + 40l^{2}\)

cost = \(\frac{25960}{l^{2} }+40l^{2}\)

To find minimum cost, derivate the  by using the calculator at

\(l=3\sqrt[3]{4}\)

l=4.762203 m

\(h=\frac{216}{4.762203^{2} }\)

h = 9.5244069354 m

Hence the dimensions of the box are

l=w

 =9.52 m

and height ,h=3.17 m  

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There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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Answer:

30

Step-by-step explanation:

60% hombres 40% mujeres

25% mujeres saben nadar 75% mujeres no saben nadar=9 estudiante

75%= 3*25% , por lo tanto 25%=3 estudiante

total mujeres 3+9=12 estudiante =40% mujeres

60% hombres =? estudiante           40% mujeres=12estudiante

3*20=60                                        20*20=40 por lo tanto 20%=6 estudiante

60%=3*6=18 estudiante

Total hombres y mujeres estudiante 18+12=30

- 2 5/25,  -2.9,  8/16

Step-by-step explanation:

Answer:

X= 4y+13/5

Y=5x-13/4

Step-by-step explanation:

The factorial function is a mathematical formula represented by an exclamation mark "!". In the Factorial formula you must multiply all the integers and positives that exist between the number that appears in the formula and the number 1.

The sample size required to achieve a 99% confidence interval having margin of error 0.02 would be determined by:

\(n=0.2275\times (\frac{2.581}{0.02} )^2\)

We know that the formula to find the sample size , if prior proportion is available :

\(n=p(1-p)(\frac{z_{\alpha/2}}{E} )^2\)

where, Z_α/2 is the critical value of the Normal distribution at α/2,

E is the margin of error,

p is the sample proportion

Here, E the margin of error is 0.02

We know that the alpha(α) level for a 99% confidence level is 0.01

And the critical value for a 99% confidence interval is 2.581

So, \(z_{\alpha/2} = 2.581\)

The proportion of forms with miscalculation is 35%

So, p = 0.35

(1 - p) = 0.65

Using above formula the sample size would be,

\(n=p(1-p)(\frac{z_{\alpha/2}}{E} )^2\\\\n=0.35\times (1-0.35)\times (\frac{2.581}{0.02} )^2\\\\n=0.2275\times (\frac{2.581}{0.02} )^2\\\\n=3771.2\\\\n\approx 3771\)

The sample size is 3771

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The maximum number of boxes that will fit inside the trailer according to the available volume is 540.

A semi-trailer is being packed with boxes. The side length of each box is 1.5 feet. The cargo space of the trailer is 28 feet in length, 8.5 feet wide and 9.167 feet high. Let the number of boxes that can fit according to the length, width, and height of the trailer be x, y, and z. The values of x, y, and z are the greatest whole numbers less than or equal to the ratio of the length, width, and height of the trailer to the length, width, and height of the box, respectively. The first inequality is x ≤ 28/1.5 ≤ 18.67, so the value of x is 18. The second inequality is y ≤ 8.5/1.5 ≤ 5.67, so the value of y is 5. The third inequality is z ≤ 9.167/1.5 ≤ 6.11, so the value of z is 6. The total number of boxes is the product of the three variables.

P = x*y*z = 18*5*6 = 540

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Answer:

-10x +25

Step-by-step explanation:

–5(2x – 5)

Distribute

-5 * 2x - (-5) * 5

-10x +25

Answer:

−5⋅(2x−5)

Step-by-step explanation:

Step 1 :Equation at the end of step 1

 0 -  5 • (2x - 5)

Canceling out  

Hope this can help

The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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A/radius = GE or GD

B/Diameter= DE

C/Chord=FE

D/tangent= EK

E/Point of tangency= EG

F/central angle= G

G/Inscribed angle= <ACGEF, as you can see it makes an arrow that gets cut of at the end.

The pair of points represent a 180 rotation around the origin is D. '(-7, 2)

In order to determine if a pair of points represents a 180-degree rotation around the origin, we need to check if the second point is the reflection of the first point across the origin. In other words, if (x, y) is the first point, the second point should be (-x, -y).

When a point is rotated 180 degrees around the origin, the x-coordinate and y-coordinate are both negated. In other words, the point (x, y) becomes the point (-x, -y).

In this case, the point (7, -2) becomes the point (-7, 2). This is the only pair of points where both the x-coordinate and y-coordinate are negated.

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The money invested into the first portion is $78000 while the second is $7000.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year.

Suppose the money invested in the first portion is x while in the second is y.

Total amount  = x + y

x + y = 85000

Now, x is earning 5.5% of interest and y is earning 2.75% of interest.

Total interest = 0.055x + 0.0275y

0.055x + 0.0275y = 4482.50

By substitution,

0.055x + 0.0275(85000 - x) = 4482.50

x = $78000

y = $7000

Hence "The initial investment was $78000, and the subsequent investment was $7000".

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Option c. 0.4926. The effective interest rate with daily compounding is 0.4926 percentage points higher than with monthly compounding.

The viable financing cost is the genuine measure of revenue that Anna pays, considering the building recurrence. To look at the successful loan fee when the interest is accumulated day to day versus month to month, we can utilize the equation:

Viable financing cost = (1 + (expressed loan fee/n))^n - 1

where n is the quantity of intensifying time frames each year. For month to month compounding, n = 12, and for everyday compounding, n = 365.

Connecting the qualities, we get:

For month to month compounding: (1 + (0.1022/12))^12 - 1 = 0.1066 or 10.66%

For everyday compounding: (1 + (0.1022/365))^365 - 1 = 0.1115 or 11.15%

The contrast between the two powerful loan costs is 0.1115 - 0.1066 = 0.0049 or 0.49%, which is around 0.4926 rate focuses. In this manner, the right response is (c) 0.4926 rate focuses.

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Answer:

28.27 m

Step-by-step explanation:

C=2πr

Answer:

28.26m

Step-by-step explanation:

C=2 3.14 r

2*3.14=6.28*4.5=28.26