David is building a sandbox for his nephew. The dimensions are 10 ft. by 8 ft. and is 1.5 ft. deep. How much sand will the box hold? Give answer in terms of cubic feet.

Answer:

There are 24 ways to get a lock code with all even digits. There are 3,024 different 4-digit lock codes. There are 3000 ways to get a lock code without all even digits. The probability of a 4-digit lock code without all even digits is 3000/3024

Step-by-step explanation:

In short, C, B, C

Got it correct on edge, have a nice day:)

The probability of a 4-digit lock code without all even digits is 0.9934 or 99.34%.

Since zero is not allowed as a digit, there are only 4 even digits available: 2, 4, 6, and 8.

Now, the number of lock codes with all even digits:

For the first digit, there are 4 even digits to choose from (2, 4, 6, 8).

For the second digit, there are 3 even digits left to choose from.

For the third digit, there are 2 even digits left to choose from.

For the fourth digit, there is 1 even digit left to choose from.

So, the total number of lock codes with all even digits

= 4 × 3 × 2 × 1

= 24.

Now, Number of lock codes without all even digits

= Total number of lock codes - Number of lock codes with all even digits

= 3,024 - 24

= 3,000

Now, the probability:

= Number of lock codes without all even digits / Total number of lock codes

= 3,000 / 3,024

= 0.9934

So, the probability is 0.9934 or 99.34%.

Learn more about Probability here:

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D

Total volume = volume of cylinder + volume of hemisphere

Total volume = pi * r^2 * h  + 2/3 * pi * r^3, where r = 2 and h = 2.5

total volume = 46/3 pi cm^2

Answer:

B. 1.43 × 10‐¹⁰ g

hope this helps

Final answer:

By setting up a system of equations using the perimeter formula and the relationship between the rectangle's length and width, we determine that the width of the rectangle is 9 cm and the length is 22 cm.

Explanation:

To solve the problem, we must set up a system of equations based on the information provided about the perimeter and the given ratio between the length and width of the rectangle. The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. According to the problem, the perimeter is 62 cm, and the length l is equal to 4 more than twice the width, which we can write as l = 2w + 4.

Using these two equations, we can create the following system to solve for the dimensions of the rectangle:

Substitute the second equation into the first to get:

Now substitute w back into the second equation:

Thus, the dimensions of the rectangle are a width of 9 cm and a length of 22 cm.

Final answer:

The corresponding point for the function f(x+2), given that the point (5,-8) is on the graph of f(x), is (3, -8) due to the horizontal shift of 2 units to the right.

Explanation:

If the point (5,-8) is on the graph of f(x), and we want to find the corresponding point for the function f(x+2), this means that we are dealing with a horizontal shift of the original graph of f(x). The point (5,-8) indicates that when x is 5, the value of f(x) is -8. To find the corresponding point on f(x+2), we need to subtract 2 from the x-coordinate of the original point because the graph of f(x+2) will be shifted 2 units to the right.

Therefore, the corresponding point on the graph of f(x+2) would be (5 - 2, -8), which simplifies to (3, -8).

Answer: [tex]Volume = 972\pi units^{3}[/tex]

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.

[tex]Volume = (\frac{4}{3})(\pi)(9 units)^{3}[/tex]

Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.

[tex]Volume = (\frac{4}{3}) (729 units^{3}) (\pi)[/tex]

Notice that we can cross cancel [tex]3[/tex] in [tex]\frac{4}{3}[/tex] and [tex]729[/tex] to [tex]1[/tex] and [tex]243.[/tex]

[tex]Volume = (4) (243units^{3}) (\pi)[/tex]

[tex]Volume = 972\pi units^{3}[/tex]

Answer:

A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

f(t) = −16t2 + 16t + 32

Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

B is correct!

:)

To find the amount of fencing needed, we calculate the perimeter of the yard. The formula is 2*(length + width), equating to 2*(120 feet + 80 feet), which equals 400 feet.

The area needed to be fenced is the perimeter of the rectangular yard. We can find the perimeter of a rectangle by using the formula: Perimeter = 2*(length + width). In this case, the length of the yard is 120 feet and the width is 80 feet. So, the perimeter of the yard would be: Perimeter = 2*(120 feet + 80 feet) = 2*200 feet = 400 feet. Therefore, Mr. Calloway will need 400 feet of fencing to surround his yard.

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Answer: Approximately 21.98cm larger.

Step-by-step explanation: The area of a circle is A = π·r², where r is the radius of the circle.

Kyle's circle has a diameter of 8cm, which means it has a radius of 4cm.

Calculating the area, it is:

A1 = 3.14.4² = 50.24

Paige's circle has a radius of 3cm, so the area will be:

A2 = 3.14·3² = 28.26

To see how much larger:

50.24 - 28.26 = 21.98cm

So Kyle's circle is 21.98 cm larger.

To simplify the expression, combine terms with the same square root.

To simplify the expression 3√10 + 7√15 - 6√10 - 4√15, we can combine terms that have the same square root. In this case, the terms with √10 and √15 can be combined.

3√10 - 6√10 + 7√15 - 4√15

= (3 - 6)√10 + (7 - 4)√15

= -3√10 + 3√15

Therefore, the simplified expression is -3√10 + 3√15.

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Hi there i hope this will help

n + d + q = 23 . . . . . . . there are 23 coins total

 0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters

 5n +10d +25q = 250 . .the total value is $2.50

The collection includes 11 nickels, 7 dimes, and 5 quarters.

I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.

 (5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)

 25q = 125 . . . . . . . simplify

 q = 5

From the second equation,

 d = q +2 = 7

And from the first,

 n = 23 -5 -7 = 11

Answer:

10 mile per hour = 16.1 kilometers per h our

Step-by-step explanation:

We know that  

1 mile = 1.61 kilometers

We are supposed to convert speed given in miles per hour (mph) to kilometers per hours (kmph)

In order to do so ,  

1 mile = 1.61 kilometers

1 mile per hour = 1.61 kilometers per hour

Multiplying both sides by 10 we get

10 miles per hour = 1.61 *10 kilometers per hour  

10 miles per hour = 16.1 kilometers per hour

Hence our speed in kilometers per hour is 16.10 kmph

1 * 26 * 26 * 26 * 26 * 26 * 1

If the ratio of surface area is 9/16, then the ratio of linear dimensions is sqrt(9/16)=3/4, and the ratio of the volumes is (3/4)^3=27/64.

Therefore the total volume = (1+27/64)*volume of the larger pyramid

= (91/64)*volume of the larger pyramid.

Answer:

B.

Step-by-step explanation: