pls help me or I'ma fail​

Maxim said the formula is f(n)=54+9n

Salma said the formula is f(n)=9+54n

Both are wrong.

Given,

In the question:

Maxim and Salma were asked to find an explicit formula for the sequence 54,63,72,81,.....,

Maxim said the formula is f(n)=54+9n

Salma said the formula is f(n)=9+54n

To find the which one of them is right?

Now, According to the question:

The given sequence is:

54,63,72,81,.....,

The first term of the sequence is

a = 54

The common difference is:

d = 63 - 54 = 9

The explicit rule is given by:

f(n) = a + d(n - 1)

f(n) = 54 + 9(n - 1)

f(n) = 54 + 9n - 9

We expand to get the:

f(n) = 45 + 9n

Hence, None of them is right .

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The volume of the box is 1,026 cubic inches.

The volume of the prism is 36 cubic feet.

We have,

1)

The volume of the box can be found by multiplying the length, width, and height together:

Volume = l × w × h

= 19 in × 18 in × 3 in

= 1,026 in³

2)

To find the volume of the prism, we need to multiply the area of the base (which is a square) by the height:

Volume = base area × height

Since the base of the prism is a square with a side length of 2 ft, the area of the base is:

base area = side² = (2 ft)² = 4 ft²

The volume of the prism is:

Volume = base area × height

= 4 ft² × 9 ft

= 36 ft³

Therefore,

The volume of the box is 1,026 cubic inches.

The volume of the prism is 36 cubic feet.

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Answer:

12 units

Step-by-step explanation:

hope this helped luv!

Answer:

y = -1/2x + 5

Step-by-step explanation:

x + 2y = 10

Step 1: subtract x from both sides.

you will get:    2y = -x + 10

Step 2: get the y by itself, you can do this by dividing 2 by both sides.

=  2y = -x + 10

     y = -1/2x +10/2

Then, 10/2 simplifies to 5.

So, your answer is: y = -1/2x + 5

Answer:

E. 7

Step-by-step explanation:

General form of exponential equation:  \(y=ab^x\)

where \(a\) is the initial value, \(b\) is the growth/decay rate, and \(x\) is time.

Given:

⇒ \(y=100 \cdot 1.25^x\)

If y = 500, then:

\(\implies 500=100 \cdot 1.25^x\)

\(\implies 5=1.25^x\)

\(\implies \ln5=\ln1.25^x\)

\(\implies \ln5=x\ln1.25^\)

\(\implies x=\dfrac{\ln5}{\ln1.25}\)

\(\implies x=7.212567439...\)

\(\implies x \approx7\)

The correct answer is C. $11,250.

To calculate the interest on a 90-day, 9% note for $50,000, we can use the simple interest formula:

Interest = Principal × Rate × Time

Given:

Principal (P) = $50,000

Rate (R) = 9% = 0.09 (decimal)

Time (T) = 90 days

Since the interest is calculated based on a 360-day year, we need to convert the time in days to a fraction of a year:

Time (T) = 90 days / 360 days = 0.25 (fraction of a year)

Now we can calculate the interest:

Interest = $50,000 × 0.09 × 0.25

Interest = $11,250

Rounded to the nearest dollar, the interest on the 90-day, 9% note for $50,000 is $11,250.

Therefore, the correct answer is C. $11,250.

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the scores on a standardized test have an average of 1200 with a standard deviation of 60 and 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

On Subtracting 1 from your sample size, we get

100 – 1 = 99.

On Subtracting confidence level from 1, and then divide by two.

(1 – .997) / 2 = 0.0015

Now, df = 99 and α = 0.0015

from the table at df = 99 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(100) = 2.8

Now, 2.262 × 2.8 = 6.33

So, the confidence interval be,

(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)

Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

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Answer:

there are two answers to this question

1; X=2

and

2;X=+1

Step-by-step explanation:

open the first brackets with an invisible +1

x-1=0

x=0+1

X=+1

open the second bracket with the plus +

x-2=0

X=0+2

X=+2

hence,

X=+1 and +2

The value of h is 512/3 using  concept of interval on number line  .

Given that A = [2-13], ||A||2 = 8 and B = 25h (A+2)

To find the integer h, we need to calculate the norm of the interval A.

The norm is defined as the length of the interval on the number line.

Thus,||A||2 = 8A = [2-13]Range of A = 2 - (-13) = 15||A||2 = 8

Using the above formula, we get8 = √(15h)²

Taking square on both sides,8² = 15h64 = 15hHence, h = 64/15

Substitute this value of h in B = 25h (A+2)B = 25(64/15) ([2-13] + 2)B = 25(64/15) (4)B = (2560/15) = (512/3)
Therefore, the value of B is 512/3.

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The volume of the figure in the attachment is 84 cubic yards

The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape

The complete question is added as an attachment.

From the attached figure, we can see that the three-dimensional shape is a frustum

The volume is then calculated using the following formula

V = 1/2 * (Sum of the parallel bases) * height * side length

From the figure, we have:

Parallel bases = 2 yards and 6 yards

Height = 3.5 yards

Side length = 6 yards

Substitute the known values in the above equation

V = 1/2 * (2 + 6) * 3.5 * 6

Evaluate the product in the above equation

V = 1/2 * (2 + 6) * 21

Evaluate the sum in the above equation

V = 1/2 * 8 * 21

Evaluate the product in the above equation

V = 1/2 * 168

Evaluate the product in the above equation

V = 84

Hence, the volume of the figure in the attachment is 84 cubic yards

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Answer:

x = -3

Step-by-step explanation:

Welcome to Brainly! :]

3/4(x-13)=-2(9+x)

0.75x - 9.75 = -18 - 2x

2.75x = -8.25

x = -3

:]

Answer:

143 / 16

Step-by-step explanation:

Simplified: 8.9375

Answer:

11.1875, \(\frac{179}{16}\), or 11 \(\frac{3}{16}\)

Step-by-step explanation:

6 \(\frac{7}{16}\) - (-4.75) =

Decimal form - 11.1875

Exact form - \(\frac{179}{16}\)

Mixed Number form - 11 \(\frac{3}{16}\)

hope this helps :)

Answer:

I think the answer is x= -7.

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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Answer:

Volume, \(V=73728\pi \ m^3\)

Step-by-step explanation:

The formula for the volume of hemisphere is given by :

\(V=\dfrac{2}{3}\pi r^3\)

r is radius of hemisphere, r = 48 m

\(V=\dfrac{2}{3}\pi\times (48)^3\\\\V=73728\pi \ m^3\)

So, the volume of hemisphere is \(73728\pi \ m^3\).

Answer:

              \(\bold{x=\frac{-6+z}6=-1+\frac z6}\)

Step-by-step explanation:

\(\bold{x-6+5x=-12+z}\\{}\quad +6\qquad\quad\ +6\\{\quad}\bold{6x\ =\ -6+z}\\{}\quad\div6\quad\ \ \div6\\{}\quad \bold{x=\frac{-6+z}6=-1+\frac z6}\)

The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

not significantly more than 3 minutes.

The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

1. The null hypothesis is that the population mean is equal to 3 minutes.

2. A sample of 100 customers was taken, with an average length of calling time of 3.1 minutes and a sample standard deviation of 0.5 minutes.

3. The p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

4. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

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Answer:

the answer is 1.414,3.142,4.5

The angle congruent to ∠BAD in isosceles triangle BDC is ∠BCD. Congruent angles refer to angles that have the same measure. In other words, they have equal angles.

In an isosceles triangle, two sides are equal in length, and the angles opposite those sides are congruent. In triangle BDC, since it is isosceles, we can determine the congruent angles.

∠BCD is the angle opposite the equal sides BC and CD. Therefore, ∠BCD is congruent to ∠BDC.

∠BAD is an angle formed by the side BA and the side AD in triangle BDC. Since triangle BDC is isosceles, BD is also equal to DC. Therefore, ∠BCD is also congruent to ∠BDC.

Hence, ∠BCD is the angle in triangle BDC that is congruent to ∠BAD.

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Answer:

10

13

15

17

22

Step-by-step explanation:

the first 5 terms will be 1,2,3,4 and 5.

I guess...

Answer:

a1 = 10

a2 = 13

a3 = 16

a4 = 19

a5 = 22

Step-by-step explanation:

Substitute in the value of  n  to find the  n

th term.

a1 = 3 (1) + 7

3 + 7 = 10

a2 = 3 (2) + 7

6 + 7 = 13

a3 = 3 (3) + 7

9 + 7 = 16

a4 = 3 (4) + 7

12 + 7 = 19

a5 = 3 (5) + 7

15 + 7 = 22

good luck, hope this helps :)

Answer:

1  111/125

Step-by-step explanation:

Answer:

Step-by-step explanation:

To plot

(

−

4

,

−

3

)

, start at the origin

(

0

,

0

)

and move left

4

units and down

3

units.

(

−

4

,

−

3

)

Answer:

I think it's answer is no.B

Answer:

\(-\sqrt2\)

Step-by-step explanation:

csc 225 degrees is the multiplicative inverse of sin 225 degrees. sin 225 degrees. We can use a unit circle with radius of 1 to find out sin 225 degrees. a 225 degree rotation counter clockwise is equivalent to a 180 degree turn followed by a 45 degree turn. Therefore, the final value is going to be in the third quadrant, a 45 degree turn in. This means that sin(225 degrees) = \(-\sqrt2/2\) The multiplicative inverse of that is \(-\sqrt2\)

Hence, 15 people out of 3 people can be chosen in 35 ways.

It is given that:

The total number of people in a race, n = 15

The number of finalists, r = 3.

Hence, the number of ways in which 3 people out of the 15 people can be finishers are:

\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.

Hence, 15 people out of 3 people can be chosen in 35 ways.

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To find rank of mark

From the given options 1st option is correct

both 1 and 2 need

Given statements are

1. there are 45 students in class.

2. 12 students scored less than mark.

we need both 1 and 2 statements to find the rank of mark

without knowing the class strength we cannot find the rank of marks

and we should also know that how many students have scored less than mark in 2nd statement it is given that 12 students scored less than mark.

from the given options 1st option is correct

both 1 and 2 need

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Answer:

second option

Step-by-step explanation:

hope this helps

Answer:

A=1, B=4

Step-by-step explanation:

Given, (A,2) (4,B) slope = 2/3 B=A+3

Slope = (y2-y1) / (x2-x1)

= (B-2) / (4-A)

= (A+3-2) / (4-A)

= (A+1) / (4-A)

= 2/3

Cross multiplying,

3*(A+1) = 2*(4-A)

3A+3 = 8-2A

5A=5

A=1

B=A+3=1+3=4