triangle prism surface area

Answer:

9 meters every second

Step-by-step explanation:

45/5=9

5/5=1

9:1

Answer:

The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest

Answer:

Step-by-step explanation:

Premise:  If n is a positive integer, then 11ⁿ-6 is divisible by 5.

Let n=1.

11¹-6 = 5, so the premise is true for n=1.

Suppose the premise is true when n is an integer greater than 1,

then 11ⁿ-6 is divisible by 5.

11ⁿ⁺¹-6 = 11·11ⁿ - 6

   = (10+1)11ⁿ - 6

   = (10·11ⁿ) + (1·11ⁿ) - 6

   = (10·11ⁿ) + (11ⁿ - 6)

Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.

Proof by induction.

Answer:

0.60 cents per apple

Step-by-step explanation:

just because

Answer:

$0.60

Step-by-step explanation:

If you divide 2.99 by 5 you'll get 0.598

Now, you have to round it. 59 → 60

we take out the 8, and we are left with 0.60

Hope it helps! ^^

Answer:

y6/8x^18

Step-by-step explanation:

The equation that represent the number of penguins is (6 ×  4) + (3 × 6) + (3 × 6) = p.

A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.

Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:

Hence,

(6 ×  4) + (3 × 6) + (3 × 6) = p

where

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Answer:

Answer is option A.

2^6.3^12

Answer:

IQR = 274

Step-by-step explanation:

Given the unit sales for the months as:

148, 329, 491, 167, 228, 285, 441

Let's rearrange in ascending the values in ascending order (from lowest to highest), we have:

148, 167, 228, 285, 329, 441, 491

Here the total number of data, n is 7

Let's find the quartile locations using the formula:

\( Lq = (n + 1) * (\frac{q}{4}) \)

where q is quartile index.

For first quartile, Q1:

\( Lq = (7 + 1) * (\frac{1}{4}) \)

\( Lq = 8 * (\frac{1}{4}) = 2 \)

Thus, the 2nd observation in the data is 167.

Q1 = 167

For third quartile, Q3:

\( Lq = (7 + 1) * (\frac{3}{4}) \)

\( Lq = 8 * (\frac{3}{4}) = 6 \)

Thus, the 6th observation in the data is 441.

Q3 = 441

The interquartile range, IQR will be:

Q3 - Q1

= 441 - 167

= 274

IQR = 274

Answer:it’s 25:99

Step-by-step explanation:

The answer is that Nive and Jasmine had a total of 126 beads in the end.

How to solve a ratio?

Let's start by using algebra to solve this problem. Let x be the number of beads Nive had at first, and y be the number of beads Jasmine had at first. Then we know that:

x:y = 6:11

We can simplify this ratio by dividing both sides by the greatest common factor of 6 and 11, which is 1:

x:y = 6/1 : 11/1

x:y = 6 : 11

Next, we know that each of them gave 30 beads to Kathy, so Nive had x - 30 beads and Jasmine had y - 30 beads. After this, the ratio of Nive's beads to Jasmine's beads became 1:2, so we have:

(x - 30) : (y - 30) = 1 : 2

We can simplify this ratio by multiplying both sides by 2:

2(x - 30) = y - 30

Expanding the left side and simplifying, we get:

2x - 60 = y - 30

2x - y = 30

Now we have two equations in two variables:

x:y = 6:11

2x - y = 30

We can solve for x and y by multiplying the first equation by a constant to make the y terms cancel out when we add the two equations. Specifically, if we multiply the first equation by 2, we get:

2x:2y = 12:22

Adding this to the second equation, we get:

2x - y + 2x : 2y = 30 + 12:22

4x : 2y = 42 : 22

Simplifying this ratio, we get:

2x:y = 21:11

Now we can use the fact that the ratio of Nive's beads to Jasmine's beads is 1:2 after they gave 30 beads each to Kathy. Let's let z be the number of beads Kathy received. Then we have:

x - 30 : y - 30 = 1 : 2

Multiplying both sides by 2 and simplifying, we get:

2x - 60 = y - 30

We can substitute y in terms of x using the ratio we found earlier:

2x - (2x/21)*11 - 30 = 0

Simplifying this expression:

x = 231/4

Now we can find y by substituting x in the first equation we wrote:

x:y = 6:11

(231/4):y = 6:11

y = 423/4

Therefore, Nive had (231/4) - 30 = 171/4 beads in the end, and Jasmine had (423/4) - 30 = 333/4 beads in the end. The total number of beads they had in the end is:

(171/4) + (333/4) = 504/4 = 126

So the answer is that Nive and Jasmine had a total of 126 beads in the end.

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Answer:

by using BADMAS rule

Step-by-step explanation:

3(53+100)-12

3×153-12

459-12

447answer

Answer:

447

Step-by-step explanation:

i think the bodmas rule applies first so brackets first which means 53+100 then you times the by 3 and finally that answer you minus it by 12 and even if you put the whole expression on the calculator thats the same answer you will get.

Answer:

but

Step-by-step explanation:

yrge sksue dnd djd d d. r e g g h a s. v j u r d. d c g y t

Tyler's claim about finishing his painting first is False because it will take Benito 10 minutes while Tyler will require over 11 minutes to finish up his painting despite starting before Benito.

Size of fence = 150 feet

Benito's rate = 15 ft/min

Tyler's rate = 11 ft/ min

Size already painted by Tyler when Benito started = 39/2 = 19.5 ft

Portion of fence left for Tyler to paint when Benito started = (150 - 19.5) = 130.5 feets

Time required for Tyler to finish :

Time required = 130.5 ÷ 11 = 11.863 minutes

Time required for Benito to finish :

Time required = 150 ÷ 15 = 10 minutes

Time required for Benito to complete his painting is lesser than Tyler's (10 < 11.863)

Hence, Tyler's claim is False

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Answer:

Hello, the answer is 6, C.

Step-by-step explanation:

50 percent of 12 is 6.

The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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Answer:

this might be the answer..

Step-by-step explanation:

m²+6m+9

The third side of a triangle can have a length between 7 cm and 27 cm if the other two sides are 10 cm and 17 cm respectively.

We must take into account the triangle inequality theorem in order to establish the range of potential lengths for the third side of a triangle given the lengths of the other two sides.

The triangle inequality theorem states that any two sides of a triangle must add up to greater than the length of the third side.

Let's denote the lengths of the two given sides as a = 10 cm and b = 17 cm. We can calculate the range of possible lengths for the third side (c) by applying the triangle inequality:

c < a + b

c < 10 cm + 17 cm

c < 27 cm

This means that the third side must be less than 27 cm in order to form a valid triangle.

Furthermore, the difference between the lengths of the two specified sides must be less than the length of the third side for the triangle to be non-degenerate (have a finite area):

|a - b| < c

|10 cm - 17 cm| < c

7 cm < c

Therefore, the third side must be greater than 7 cm.

Combining these results, the range of possible lengths for the third side of the triangle is 7 cm < c < 27 cm.

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Answer:

if you meant the mean its 105.5

Step-by-step explanation:

just add them and divide by 2

Step-by-step explanation:

- 8 is the ans .hope this help you. mark me as brainliest

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

For the function y = √4-x, we know that the value inside the square root must be non-negative. Therefore, we have the inequality:

4 - x ≥ 0

Solving for x, we get:

x ≤ 4

So the domain of the function is all real numbers less than or equal to 4.

For the range, we know that the square root of any non-negative number is always non-negative. Therefore, the smallest value that y can take is 0, which occurs when x = 4. As x decreases, y increases without bound. So the range of the function is [0,∞).

Step-by-step explanation:

Answer:

15.75

Step-by-step explanation:

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

False  and B

Step-by-step explanation:

Answer:

14 \(\frac{5}{48}\)

Step-by-step explanation:

rectangular volume = length * height * width

1354 = (20+4) * 4 * width

1354 = 24 * 4 *w

1354 = 96w

14.1 = w

The cubic equation that contains the roots 4 and + i 2 is p(x) = x³ - 4 · x² + 4 · x - 16.

In this problem we must derive the expression that has lead coefficient of 1 and the roots 4 and + i 2. According to the statement, the factor form of the cubic equation is introduced below:

p(x) = a · (x - r₁) · (x - r₂) · (x - r₃)

Where:

By quadratic formula, we conclude that quadratic equations with real coefficients can have two conjugate complex roots. Then, the complete set of roots must be 4, + i 2 and - i 2.

If we know that a = 1, r₁ = 4, r₂ = + i 2 and r₃ = - i 2, then the standard form of the cubic equation is:

p(x) = 1 · (x - 4) · (x - i 2) · (x + i 2)

p(x) = (x - 4) · (x² - i² 4)

p(x) = (x - 4) · (x² + 4)

p(x) = x³ - 4 · x² + 4 · x - 16

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Answer:

L= -11/9p

Step-by-step explanation:

put me brailiest

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

Answer:8k

Step-by-step explanation:i did the test and got it write