What number is of the way from to on a number line? 1/3 –6.7 and 2.4

Answer:

\( - {2k}^{3} - {k}^{2} + 8k\)

Step-by-step explanation:

1) Remove parentheses.

\( - {2k}^{3} - {7k}^{2} + 5k + {6k}^{2} + 3k\)

2) Collect like terms.

\( - {2k}^{3} + ( - 7k^{2} + {6k}^{2} ) + (5k + 3k)\)

3)Simplify.

\( - {2k}^{3} - {k}^{2} + 8k\)

Therefor, the answer is -2k³ - k² + 8k.

Work Shown:

range = max - min = 10 - (-6) = 10 + 6 = 16

The range is the distance from the smallest item to the largest. Use of a number line might help sort out the values to see which is the smallest and largest.

Answer: up to 999

Step-by-step explanation: Now, if you consider repetition allowed, all the numbers from 100 to 999 are 3 digit numbers. How many numbers are formed ? count numbers starting from 100 up to 999. Hence, 900 numbers are formed.

Answer:

3^x( 2-3^x)

Step-by-step explanation:

f(x) = 3^x and g(x) = 3^2x - 3^x

h(x) = f(x) - g(x)

       3^x - ( 3^2x - 3^x)

Distribute the minus sign

         3^x - 3^2x + 3^x

     2 * 3^x - 3 ^ 2x

Rewriting

We know that 3^2x = 3^x * 3^x

2 * 3^x - 3^x* 3^x

Factoring out 3^x

3^x( 2-3^x)

The distance between fours points are calculated with a function 'distance'.

Given four real numbers representing cartesian coordinates: (x1,y1),(x2,y2). write a function distance(x1, y1, x2, y2) to compute the distance between the points (x1,y1) and (x2,y2).

Read four real numbers and print the resulting distance calculated by the function

import math

def calculateDistance(x1,y1,x2,y2):

    dist = math.sqrt((x2 - x1)**2 + (y2 - y1)**2)

    return dist

distance = calculateDistance(2,4,6,8)

print distance

Therefore, the above program is used to calculate the distance between points and print the result.

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Answer:

6/8 red paint

10/8 blue paint

4th grade savvas realize

Answer:

x =  -14.75

Step-by-step explanation:

-4(5+x)=39         (Distribute)

-20 - 4x = 39          (Add 20 on both sides)

-4x = 39 + 20

-4x = 59             (Divide by -4)

x = -14.75

Answer:

First think of what you are trying to solve.

What is X?

Reverse the steps in solving:

\(39 / -4 = -9.75\)

Now after doing that, subtract it by 5:

\(-9.75 - 5 = -14.75\)

Now after doing that, to check your work:

\(-14.75 + 5 = -9.75 * -4 = 39\)

So the answer for X is -14.75

There you go I hoped I helped :]

Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

I think the answers 3048_&8_9_)_)_

Limit of the function ln(n³)/10n is \(\lim_{n \to \infty}\) (3/n) and the sequence will be divergence in nature.

In Arithmetic, divergence and curl are the two fundamental procedure on the vector field. Both are significant in math as it assists with fostering the higher-layered of the central hypothesis of analytics. For the most part, uniqueness makes sense of how the field acts towards or away from a point. Likewise, curl is utilized to quantify the rotational degree of the field about a specific point.

We have a\(_n\)=ln(n³)/10n

Apply n'th term test for divergence, which states that,

If \(\lim_{n \to \infty} a_n\) !=0 , then ∑a\(_n\) diverges

Apply L'Hospital's rule,then \(\lim_{n \to \infty} ln(n^3)/10n\), Test L'Hospital condition:0/0

=\(\lim_{n \to \infty}\) d [ln(n³)/10n] / dn

=\(\lim_{n \to \infty}\)  (1/n³) ×3n²(since differentiation of ln(x) is 1/x)

=\(\lim_{n \to \infty}\)(3/n)

If n tends to infinite then the function tends to zero because 1/n tends to zero.

But,By the limit chain rule we know that 1!=0.So,according to the postulate of the divergence test criteria,we got that  the given function will diverges.

Hence, limit of the function is \(\lim_{n \to \infty}\)(3/n) and function will diverges.

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(Complete question) is:

determine the convergence or divergence of the sequence with the given nth term. if the sequence converges, find its limit- ln(n³)/10n.

Greetings from Brasil...

The range will be the region of the Y axis comprised by the function. Looking at the graph, we conclude that:

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

D

Step-by-step explanation:

Leave everything the same except you add -5 and 2 =-3

Answer:

Step-by-step explanation:

1.63 meters = 163 centimeters. Formula

Answer: 3 coupons

Step-by-step explanation:

       We will divide the total amount of money spent by the amount of money needed to spend to receive a coupon.

$600 / $200 = 3

         Sarah would get 3 coupons.

Answer:

t=-2

Step-by-step explanation:

5t-26=18t

5t-26+26=18t+26

simplify and subtract 18t from both sides

Answer:

The multiplication property of 1

Step-by-step explanation:

Any number that multiplied by one gives the number

When asking the value of '9' ⇒ in another number

  ⇒ means that it asking for the name of the position of that number in

      the other number

Let's examine the name of the positions in the number:

  ⇒ look at the image attached

Based on the image:

 ⇒ 9 is the hundreds position of 2,448,901

Answer: hundreds

Hope that helps!

Answer:

Hundreds

Step-by-step explanation:

1=units

0=tens

9=hundreds

Answer:

307 members

Step-by-step explanation:

Relative growth rate= Growth rate/population

Given: constant relative growth rate=0.7233

0.7233=\(\frac{dP/dt}{P}\)

\(\frac{dP}{dt} =0.7233 P\)

Theorem 2 states that solutions of the differential equation dy/dt = ky are in the form:    y(t)=y(0)\(e^k^t\)

Writing the soltuion of our dif. equation as:

P(t)=P(0)\(e^{0.7233t}\)

since on day zero the population consists of four members.

P(t)=4\(e^{0.7233t}\)

next is to find the population size after six days. i.e t=6

P(6)=4\(e^{0.7233\times 6}\) ≈ 307 members

Answer:

conduction

Step-by-step explanation:

Radiation transfers heat to the pavement through empty space. Because the pavement is black, it absorbs more heat. ... Because the pavement is darker so it absorbs more heat.

Answer:

95

Step-by-step explanation:

Answer:

x is 6

Step-by-step explanation:

3/4 * x/8

3*8=24 then,

divide by 4 which gives you 6.

Also if you simplify 6/8, it will give you 3/4.

Answer:

6 =x

Step-by-step explanation:

Answer:

2.5kg

Step-by-step explanation:

density= mass/ volume

rearrange:

mass= density* volume

12.5*200= 2500g

2500/1000= 2.5

2.5kg

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

Answer:

\((2x - 16)(15 - x) \\ (2(7) - 16)(15 - 7) \\ (14 - 16)(8) \\ ( - 2)(8) \\ = - 16\)

Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product.

Answer:

  A, D

Step-by-step explanation:

Lines are parallel if consecutive interior angles at a transversal are supplementary.

In the given figure, angles EAH and AED are consecutive interior angles associated with transversal AE. If they total 180°, then AC║EF.

Similarly, angles FCI and CFG are consecutive interior angles associated with transversal CF. If they total 180°, then AC║EF.

Either of these will prove AC║EF:

Part A: The total area of the brick paver border is \(960\) square feet.

Part B: The total cost of the brick pavers needed for this project is $\(7,680\).

Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.

The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.

Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).

Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).

Note: The calculations provided assume that the border consists of a single layer of brick pavers.

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