The number 4129 is in the sequence calculate the number which comes immediately before 4129 in the sequence

This week 41 students showed up to the archery class that cannot be broken into multiple groups of equal sizes.

Prime numbers are numbers that cannot be divisible by any other numbers besides 1 and itself. Between 30 and 50, there are 4 prime numbers, which are 31, 37, 41, and 43. So, these prime numbers cannot be divided into equal sizes of multiple groups. But by adding 2 (If Betty and Wilma join the students) in 31, 37, and 43 we get composite numbers that can be divided into multiple groups of equal sizes.

So, 41 students showed up to the archery class this week and as 41 is a prime number, Betty and Wilma could not break the archers up into groups of equal size, and even if Betty and Wilma joined the students there will be 43 archers which even is a prime number and thus cannot be divided.

41 is the only possible number of students between 30 and 50 which cannot be broken into groups of equal sizes even if Betty and Wilma join the archers.

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The calculate value of the firm is the  growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million = 8480 million

(1+r/r -p) * P

This can be substituted in the equation

1.06/ ( 0.06 - 0.05) * 80 million = 8480 million

Hence the value of the firm is given as  8,480 million dollars. The correct answer is C.

Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million, the value of the firm is 8480 million

Complete question

Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million. What is the value of the firm?

A. $89.2 million

B. $1,413.3 million

C. $8,480 million

D. None of the statements associated with this question are correct.

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Answer:

900 miles

Step-by-step explanation:

well if you have 12.5 and you divide it by 2.5 you get 5. I do this because you need to find out how many time 2.5 goes into 12.5 so you can then multiply 180 by that number. 180*5=900

Answer:

0=17

Step-by-step explanation:

2X - 10=7 +2x

-10 = 7

7 is fasle

i believe the answer is 17

Answer:you put the equations together then add the x’s and 20+10 together then subtract 30 from 10 so it should be -20

Step-by-step explanation:

Answer:

210:35 = 6:1

Step-by-step explanation:

210:35

if divided by 35, then 6:1

Answer:

46 students

Step-by-step explanation:

20 female prefers dogs + 26 female prefer cats + 6 female no preference = 46 female total.

\(\mathsf\blue{♧ANSWER♧}\)

Area = length × width

\( \mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }\)

\( \orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }\)

\( \orange \implies \mathsf \green{ \frac{81}{8} = 10.125}\)

\( \mathsf \blue{10.125 \: square \: units}\)

Answer:

4.25

Step-by-step explanation:

Answer:15 I think

Step-by-step explanation:

\(2^8 \times 3^7 \div 3^5 \times 2^5\)

\(256 \times 2187 \div 243 \times 32\)

\(559872 \div 7776\)

\(=72\)

Answer:

8 times due to 48 divided by 6 is 8

Step-by-step explanation:

That'sAnswer:

the answer is a)

Step-by-step explanation:

because if u multiply 7 x 4.5 u get 31.5. That's how I did it:)

lmk if u get right. ( im not sure if u supposed to divide it tho but yeah)

Answer is C, 10.5 yd

You multiply 7 by 4.5, to get 31.5, and divide that by 3, to get 10.5.

The total number of white tiles that Paul used is 54

From the question, we have the following parameters that can be used in our computation:

Length of the entire floor = 9 feet

Width of the entire floor = 12 feet

The total number of white tiles used is calculated as

Total number of white tiles used = Length of the entire floor * Width of the entire floor/2ft²

Substitute the known values in the above equation, so, we have the following representation

Total number of white tiles used = 9ft * 12ft/2ft²

Evaluate

Total number of white tiles used = 54

Hence, the white tiles are 54

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Answer:

1/5

Step-by-step explanation:

umm what's (3/5)/3

1/5

Answer:

i think u missed out the missing variable

Step-by-step explanation:

Answer:

slope= 1/10x and the slope represents the increase of the rental cost after x miles driven.

Step-by-step explanation:

i hope this helps :)

The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

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After calculating the individual discount and coupon percentages of the actual price, we find out that the final price of the new computer monitor is $40.

It is given to us that -

The new computer monitor is regularly priced at $200

It is now on sale for 25% off

After the sale discount, we can also use 20% off coupon

We have to find out the final price of the computer monitor.

The initial price of the new computer monitor = $200

After the sale discount of 25% off is applied to the product, the new price of the monitor can be calculated by finding out

25% of $200 = 0.25 * 200 = $50

Now, after calculating the price of the monitor after the sales discount, we have to find out the final price after the 20% off coupon is applied.

So, 20% of $50 = 0.20 * 50 = $10

So, we can conclude that after the sales discount and after a coupon of $10 off is applied, the final price of the computer monitor is -

$50 - $10

= $40

Thus, calculating the individual discount and coupon percentages of the actual price, we find out that the final price of the new computer monitor is $40.

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Given:

To find: The value of x and y

Explanation:

Adding (1) and (2) we get,

Substitute x=4 in equation (2) we get,

Hence, the solution is,

Final answer:

Answer:

12:30

Step-by-step explanation:

Answer:

i think its 4.7

Step-by-step explanation:

Answer:

AC is an enlargement of AE

scale factor = 11.7 ÷ 5.2 = 2.25

CD is an enlargement of AB

10.5 ÷ 2.25 = 4.666666...

= 4.7 (rounded to nearest tenth)

9= hypotenuse (h)

7=base(b)

x=perpendicular(p)

using pythagoras theoram

now do from the photo

Answer:

Step-by-step explanation:

a. To sketch the plane curve defined by the vector function r(t) = ti + ln(t)j when t = 2, we can first evaluate the position vector at t = 2:

r(2) = 2i + ln(2)j

Next, we plot the point (2, ln(2)) on the x-y plane. Since the curve is two-dimensional, we don't need to determine the vectors T(t) and N(t) for this sketch.

b. To find the scalar tangential component of acceleration aT for the particle with the position vector r(t) = e^t⟨cos(4t), sin(4t), 0⟩, we need to differentiate the position vector twice with respect to time to obtain the acceleration vector a(t).

First, let's differentiate r(t) with respect to t:

r'(t) = (d/dt) (e^t⟨cos(4t), sin(4t), 0⟩)

      = e^t⟨-sin(4t), cos(4t), 0⟩ + e^t⟨-4cos(4t), 4sin(4t), 0⟩

      = e^t⟨-sin(4t) - 4cos(4t), cos(4t) + 4sin(4t), 0⟩

Now, we differentiate r'(t) with respect to t to find the acceleration vector:

a(t) = (d/dt) (e^t⟨-sin(4t) - 4cos(4t), cos(4t) + 4sin(4t), 0⟩)

     = e^t⟨-4cos(4t) + 16sin(4t), -4sin(4t) - 16cos(4t), 0⟩

To find the scalar tangential component of acceleration aT, we project the acceleration vector a(t) onto the tangent vector T(t). Since the tangent vector is the derivative of the position vector with respect to t, we have T(t) = r'(t):

T(t) = e^t⟨-sin(4t) - 4cos(4t), cos(4t) + 4sin(4t), 0⟩

Finally, we can find the scalar tangential component of acceleration aT by taking the dot product of a(t) and T(t):

aT = a(t) · T(t)

   = e^t⟨-4cos(4t) + 16sin(4t), -4sin(4t) - 16cos(4t), 0⟩ · e^t⟨-sin(4t) - 4cos(4t), cos(4t) + 4sin(4t), 0⟩

   = (-4cos(4t) + 16sin(4t))(-sin(4t) - 4cos(4t)) + (-4sin(4t) - 16cos(4t))(cos(4t) + 4sin(4t))

The resulting expression for aT is quite complex and difficult to simplify without a specific value of t.

Answer:

Step-by-step explanation:

We need to use 7 terms to estimate the value of ln(1.4) to within 0.0001.

A Maclaurin series is a function that is used to estimate the values functions, evaluate the sum, or determine the value of the anti-derivative of a function.

We have:

f(x)=ln(1+x)

Expansion of In(1+x) up to seven terms is:

In(1+x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5 - x^6/6+ x^7/7

Where it is known that -1 <= x <= 1

Put x=0.4 in the above series:

ln(1.4) = 0.4 - 0.4^2/2 + 0.4^3/3 - 0.4^4/4 + 0.4^5/5 - 0.4^6/6+ 0.4^7/7

We get:

ln(1+4) = 0.3365333

Therefore,  we need 7 terms to estimate the value of ln 1.4 to within 0.0001.

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Answer: B

Step-by-step explanation: B is larger by about 9.42 in

Answer:

base = 10cm and height = 10cm

Step-by-step explanation:

base + height = 20

base = height = 20/2= 10cm