Which pyramid has the greatest surface area?
Pyramid

Answer:

(See explanation for further details).

Step-by-step explanation:

The sign does not affect the domain, as second-order polynomials are continuous functions. Nonetheless, the sign affect the range of function in the sense that elements can be lesser and equal to zero (a < 0) or greater and equal to zero (a > 0).

The sign of 'a' in the function f(x) = ax2 affects the direction the parabola opens, influencing the range of the function, either [0, ∞) for a positive 'a' or (-∞, 0] for a negative 'a'. The domain, which is always (-∞, ∞), isn't affected by 'a's sign.

In mathematics, the function f(x) = ax2 is a quadratic function where 'a' is the coefficient of x2. The sign of 'a' determines whether the parabola opens upward or downward. When 'a' is positive, the parabola opens upward hence making the range of the function [0, ∞) because the lowest point (vertex) is on the x-axis and it extends to positive infinity. If 'a' is negative, the parabola opens downward, and the range becomes (-∞, 0] as the highest point is on the x-axis and it extends to negative infinity.

The domain of f(x) = ax2 does not depend on the 'a' value; it is always all real numbers because x can be any real number regardless of the value of 'a'. Therefore, the domain is always (-∞, ∞).

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The probability of event S(students writing steak) was calculated as 14/25, event C(students writing chicken) as 6/25, while both occurring(S and C) as 5/25. From these the combined probability of either of these two events occurring(S or C) was determined by summing the individual probabilities and subtracting the combined one thus, 14/25+6/25-5/25.

The subject matter relates to the field of probability in Mathematics, focusing on two independent events namely, S (student writes steak) and C (student writes chicken). Here, the total number of students 25 serves as our sample space.

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Answer:

C = 33pi or approximately 103.62

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d  where d is the diameter

C = pi*33

We can approximate pi by 3.14

C = 33*3.14

103.62

Answer:

103.62 units

Step-by-step explanation:

Radius = 33/2 = 16.5 units

Circumference = 2 × 3.14 × 16.5

= 103.62

Answer:

0.857142857 yards

Step-by-step explanation:

Answer: 37,800

Step-by-step explanation: 35x90x12= 37,800

Final answer:

The barge, which is shaped like a rectangular prism and measures 90 feet in length, 35 feet in width, and 12 feet in depth, can hold up to 37,800 cubic feet of wheat.

Explanation:

To determine the volume of wheat that a rectangular prism-shaped barge can hold, we use the formula for the volume of a rectangular prism: Volume = length × width × height. Given that the barge is 90 feet long, 35 feet wide, and 12 feet deep, we calculate the volume as follows:

Volume = 90 feet × 35 feet × 12 feet

Volume = 37,800 cubic feet

Therefore, the barge can hold up to 37,800 cubic feet of wheat.

The greatest possible length for the pieces into which two wires of lengths 448 cm and 616 cm can be cut without a remainder is 56 cm, which is the Greatest Common Divisor of the two lengths.

For the lengths given, 448 cm and 616 cm, the GCD can be found using the Euclidean algorithm.

Divide 616 by 448 and find the remainder: 616 / 448 gives a quotient of 1 and a remainder of 168.

Next, divide the former divisor (448) by the remainder (168) to get a new quotient and remainder: 448 / 168 gives a quotient of 2 and a remainder of 112.

Repeat this process using the previous remainder: 168 \/ 112 gives a quotient of 1 and a remainder of 56.

Continue the process: 112 / 56 gives a quotient and remainder of 2 and 0, respectively.

Therefore, the greatest possible length for equally-sized pieces of wire without remainder is 56 cm.

In a function/relation no x value can be repeated twice. -20 and -15 can be values that can complete the table because those x values haven't been mentioned in the function at all. -5 cannot be a value that can be used in the function becuase thats an x-value thats already stated in the function.

Therefore, the answer is -5

Best of Luck!

Answer:

7. yes, obtuse

8. no triangle

Step-by-step explanation:

7.

3, 7, 9

Do these side lengths form a triangle?

Add the two smaller numbers: 3 + 7 = 10

Since 10 is greater than 9, these three side lengths do form a triangle.

Now we qualify the triangle.

c^2 ? a^2 + b^2

The ? is there because we don';t know yet if it will be =, >, or <.

9^2 ? 3^2 + 7^2

81 ? 9 + 49

81 ? 58

Since 81 is greater than 58, now we know to use >.

81 > 58

Since c^2 is greater than a^ + b^2, the triangle is obtuse.

Answer: Yes these side lengths form a triangle, and the triangle is obtuse.

8.

4, 11, 16

Add the two small lengths: 4 + 11 = 15

Since 15 < 16, these three side lengths do not form a triangle.

Answer: no triangle

Answer:

C

Step-by-step explanation:

because 15*2x=30x and 15*y= 15y and since they are adding in the parentises you add again 30x*15y

Answer:

10% / .10 is the answer to the question.

Answer:

Step-by-step explanation:false

To measure the height of a tree, feet would be the most suitable unit .

When determining which unit you would need fewer of to measure a tree, it's important to consider units that are an appropriate scale for the object in question. Since a tree is typically more than a few feet tall, but significantly less than a mile tall, we would use feet as the unit of measurement. Using yards would require us to measure in much smaller segments than a whole yard, and using inches would take a long time to measure the full height. Therefore, the most suitable unit to measure the height of a tree would be feet, as this unit provides a balance between precision and efficiency. For fieldwork where estimation of tree density is needed, aspects like basal area might be measured using a factor prism in a defined plot area, such as a 0.04-ha (0.1-acre) plot, to estimate the density of trees in a larger area.

Answerrrrrr:

5.7-10^3

The value of point P on the number line is 5.7-10^3.

We have given the diagram,

We have to determine the value of P.

P is a point on the number line.

a line on which numbers are marked at intervals used to illustrate simple numerical operations.

Therefore the value of point P is,

5.7-10^3

The number line shows the value of the points and equal partitions on the line.

To learn more about the number line visit:

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Answer:

4

7

10

13

16.

Step-by-step explanation:

Just substitute the term number into the formula:

The first term a1 = (1 + 3k)

= 1 + 3(1) = 4.

a2 = 1 + 3(2) = 7.

- and so on.

Answer:

The answer is B

Step-by-step explanation:

Answer:

Option B, $1080

Step-by-step explanation:

Step 1:  Identify which option is correct

To find the initial amount of money you need to find the y-int or the value of y when the x value is 0.

So... when the x value is zero on this graph, the y-int or y value is  1080

Answer: Option B, $1080

Answer:

9.1801229e+12 or 9.18

Answer: 9180122932497.328

Step-by-step explanation: 3.3*3.3*3.3......=9180122932497.328

Answer:

Zack earned £125, Jack earned £75, and Sasha earned £50

Step-by-step explanation:

Considering the number of leaflets delivered

Zack 50%, Jack 30% and Sasha 20%

Total delivered = 50 + 30 + 20 = 100%

If they earn £250 on the 100% delivery, then each will have as shown below

Zack = (50/100)*250

= 5*25

= £125

Jack = (30/100)*250

= 3*25

= £75

Sasha = (20/100)*250

=2*25

= £50

Answer:

£125, £75 and £50

Step-by-step explanation:

Zack delivered 50%

Therefore, Zack earned

50% of £250

50/100 x £250

0.5 x 250

£125

Zack earned £125

Jack delivered 30%, therefore

Jack earned

30% of £250

0.3 x £250

£75

Jack earned £75

Sasha delivered 20%

Therefore, Sasha earned 20% of £250

20/100 x £250

0.2 x £250

£50

Sasha earned £50

Zack + jack + Sasha = £250

£125 + £75 + £50 = £250

Answer:

ok the mean is 9.77778

mode is none

range is 21

median is 8

so D would be the only answer choice that matches

Step-by-step explanation:

Answer:

D) The mean is greater than the median

Step-by-step explanation:

The number of people who receive Nicholas's chain letter can be modeled by an exponential growth function. Every 12 weeks, the number of people who have received the letter can be calculated by the formula P(t) = P0(1 + 0.99)^t, where P0 is the initial number of people, and t is the time in weeks.

The number of people who receive Nicholas's chain letter is represented by the function P(t) = P0(1 + r)^t, where P0 is the initial number of people, r is the rate of increase (expressed as a decimal), and t is the time in weeks. In this case, r is equal to 99%, or 0.99. So every 12 weeks, the number of people who have received the letter can be modeled as P(t) = P0(1 + 0.99)^t. This is an example of an exponential growth function, which is often used in real-world scenarios where the rate of something increases rapidly, such as interest in a bank account or population growth.

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Answer:

200 (?)

Step-by-step explanation:

If 320 is divied by 40, you get 8.

If 1600 is divided by 8, you get 200

im like 90% sure sorry

Answer:

The distance between ring and coin is 13 units apart.

Step-by-step explanation:

[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } [/tex]

Using this formula, you are able to find the distance between the ring and the old coin :

Let (x1,y1) be (10,19),

Let (x2,y2) be (5,7),

D = √(10-5)²+(19-7)²

= √5²+12²

= √25+144

= √169

= 13 units

Answer: 13 units

Step-by-step explanation:

Let (x1,y1) be (10,19),

Let (x2,y2) be (5,7),

D = √(10-5)²+(19-7)²

= √5²+12²

= √25+144

= √169

= 13 units

Answer:

35

Step-by-step explanation:

if you order the numbers from least to greatest, there are 14 numbers (which is even which means their is going to be two median. when you have two medians you add them and then divide them by 2) 35 + 35 = 70, 70 divided by 2 is 35. the answer is 35!

1) slope = -1

2) slope = -1

Answer:

x = 1, x = 5

Step-by-step explanation:

To find the zeros let y = 0, that is

- x² + 6x - 5 = 0 ( multiply through by - 1 )

x² - 6x + 5 = 0 ← in standard form

(x - 1)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 5 = 0 ⇒ x = 5

63 feet

Explanation: if you do 87 squared subtracted by 60 squared you get 63 squared and if you square root that you get 63

Answer:

63 feet

Step-by-step explanation:

Answer:

1119.42

Step-by-step explanation:

Final answer:

Katrina would receive an amount closest to $1,119.42, thus option A is the closest answer.

Explanation:

Katrina is looking at a Certificate of Deposit (CD) which has certain terms for compounded interest and an early redemption fee. To calculate how much she would get back if she withdraws the money 3 months before the CD matures, we need to do the following steps:

The formula for compounded interest is [tex]A = P(1 + r/n)^{(nt)}[/tex], where:

For this problem:

Let's calculate:

A = $[tex]\$1000(1 + 0.025/4)^{(4*4.5)}[/tex] = A ≈ $1,131.64

Now we calculate the 3 months' interest which is essentially the interest for one quarter:

Interest for one quarter = (A for 4.75 years) - (A for 4.5 years)

We calculate A for 4.75 years using t = 4.75 and subtract A for 4.5 years:

A for 4.75 years = [tex]\$1000(1 + 0.025/4)^{(4*4.75)}[/tex] ≈ $1,144.12

Interest for one quarter = $1,144.12 - $1,131.64 ≈ $12.48

Finally, subtracting the early redemption fee:

Amount after fee = $1,131.64 - $12.48 ≈ $1,119.16

The actual amount after subtracting the early redemption fee from the compounded total closest matches option A. $1119.42.

Answer:

b

Step-by-step explanation:

Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

Step-by-step explanation:

We need to convert angle measure of 55.45 to DMS notation

DMS notation is Degree Minute and seconds

Solving:

We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.

We can write it as 55 and 0.45

So, we have 55 degrees

To find minutes we will multiply 0.45 by 60

0.45*60 = 27 minutes

Since we have no decimal value in minutes so seconds will be 0

So, DMS will be 55 degrees 27 minutes 0 seconds

Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds