6 math books weigh 24 pounds. How much does 18 math books weigh?

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

For more such question on logarithms visit:

https://brainly.com/question/25993029

#SPJ8

Answer:

x = 21

Step-by-step explanation:

8 + 3x = 29 + 2x

8 + 3x - 2x = 29

8 + x = 29

x = 29 - 8 = 21

x = 21

Answer:

angle 1: 80 degrees

angle 2: 112 degrees

angle 3: 131 degrees

angle 4: 80 degrees

angle 5: 37 degrees

Step-by-step explanation:

start out with angle three subtract 49 from 180 ( a straight line must be 180 degrees) and u get 131. then add 63 and 49 up and subtract from 180. you get 68. angle 2 would be 180 - 68  and you get 112. once you know angle 2, you add up 31 and angle two (112 degrees) and subtract from 180, which leaves you with 37 degrees (angle 5). Add up angle 5 (37 degrees) and 63 degrees and subtract from 180, you get 80 degrees (angle 4). and opposite nagles equal each other so angle one is also 80 degrees.

9514 1404 393

Answer:

Step-by-step explanation:

In step 1 Angela used the distributive property to eliminate both sets of parentheses. In step 2, she found each of the products she indicated in step 1. In step 3, she combined like terms.

Answer:

the answer is a,d,e

Step-by-step explanation:

Answer:

The contractor made an error in calculating the unit price of the padded work gloves.

Step-by-step explanation:

To find the unit price of an item, we need to divide the total cost of the item by the number of units purchased. In this case, the contractor purchased 7 dozen pair of padded work gloves, which is equal to 7 x 12 = 84 pair of gloves. Therefore, the unit price of the padded work gloves is $103.32 / 84 pair = $1.23 per pair.

The contractor incorrectly calculated the unit price as $14.76, which is an error of $14.76 - $1.23 = $13.53. This error occurred because the contractor did not correctly take into account the number of units purchased when calculating the unit price.

Hope this helps:)

Answer:

9x^2y^2

Step-by-step explanation:

Ok so to find the area of a square we have to square the side length. So 3xy*3xy = 9x^2y^2 because 3*3=9, x*x=x^2, and y*y=y^2.

The zeros of the function defined by

h(x) = x³ – 4x² – 5x are x = 0, x = 5 and x = -1

The zeros of a function, also referred to as roots or x-intercepts, occur at x-values where the value of the function is 0. It is simply the values of x when f(x) is equal to 0.

For x = 0, we substitute 0 for x in the function h(x);

h(0) = (0)³ - 4(0)² - 5(0)

h(0) = 0

For x = 1, we substitute 1 for x in the function h(x);

h(1) = (1)³ - 4(1)² - 5(1)

h(1) = 1 - 4 - 5

h(1) = -8

For x = -5, we substitute -5 for x in the function h(x);

h(-5) = (-5)³ - 4(-5)² - 5(-5)

h(-5) = -125 - 100 +25

h(-5) = -200

For x = 5, we substitute 5 for x in the function h(x);

h(5) = (5)³ - 4(5)² - 5(5)

h(5) = 125 - 100 - 25

h(5) = 0

For x = -1, we substitute -1 for x in the function h(x);

h(-1) = (-1)³ - 4(-1)² - 5(-1)

h(-1) = -1 - 4 + 5

h(-1) = 0

Therefore, the values of x that makes the function h(x) = x³ – 4x² – 5x equal to zero are; 0, 5, and -1, they are the zeros of the function h(x).

Know more about zeros of a function here: https://brainly.com/question/16550963

#SPJ1

Answer:

(a) 5.714s

(b) 0.625m

Step-by-step explanation:

Acceleration due to gravity=a=±9.8m/s/s (+ when falling, - when going upwards)

(a)

STAGE A: between start and first bounce

Initial speed=u=0m/s, Distance=s=40m, and Final velocity=v

v²=u²+2as

v²=0²+2(10)(40)

v²=794

v=28m/s (As the ball hits the ground)

v=u+at

28=0+9.8t\(_{a}\)

t\(_{a}\)=28/9.8=2.85714285714s

STAGE B: from the first bounce until it starts to fall

u=half the speed it hit the ground with=(28/2)=14m/s, and v=0m/s(when it starts to fall)

v=u+at

0=14-9.8t\(_{b}\)

t\(_{b}\)=14/9.8=1.42857142857s

STAGE C: between when it starts to fall after bounce 1, and bounce 2

We can assume that the time it takes to go from the ground to max height after bounce 1 is equal to the time it takes to fall from that same height to the ground. Therefore, t \(_{c}\)=1.42857142857s

The time from when the ball was released to when it hit the ground for the second time = t

t = t\(_{a}\) + t\(_{b}\) + t\(_{c}\)

t=2.85714285714+1.42857142857+1.42857142857

t=5.71428571428s≈5.714s

(b)

Before bounce 1, u=28m/s (see stage a)

After bounce 1, u= 28/2= 14m/s

After bounce 2, u= 14/2 = 7m/s

After bounce 3, u= 7/2 =3.5m/s

u=3.5m/s and v=0m/s(when it starts to fall)

v²=u²+2as

0²=3.5²+2(-9.8)s

19.6s=12.25

s=0.625m (max height after third bounce)

Answer:

202.3 ounces of real silver

Step-by-step explanation:

Another example would be like pizza. If there are 6 slices of pizza in each box, then 2 boxes of pizza would have 6 + 6 slices = 12 slices. It is 6 slices each * 2 boxes = 12 slices total. The same applies to the coin situation, for every additional coin, multiply 0.85 by the number of coins to get the total weight of real silver.

If there are 238 silver coins, then you have 238 0.85 ounces of real silver. Multiplying 238 by 0.85 to simplify gives you 202.3 ounces of real silver.

Answer:

208?

Step-by-step explanation:

im not sure if this is 100% correct but, all I did was:

238/0.85

=208

Answer:

D. 45 unit

Step-by-step explanation:

parallelogram:

the area of the parallelogram is 45 units(D.)

Based on the stress-strain curves shown, the most likely statement is that Material A is likely a ceramic material because it shows brittle behavior.

Brittle behavior is characterized by low ductility and little plastic deformation before failure, which is evident in the stress-strain curve for Material A. The curve for Material B shows some plastic deformation before fracture, which indicates a higher level of ductility than Material A. The stress-strain curve for Material C shows a high level of ductility, with a long plastic deformation region before fracture. This behavior is typical of polymeric materials, so Material C is most likely a polymeric material.

It is not possible to determine the specific type of material based solely on stress-strain curves, as many materials can exhibit similar behaviors. Additionally, it is not accurate to say that Material B or Material C are likely ceramic materials based on their stress-strain curves, as both exhibit significant plastic deformation before failure, which is not typical of brittle ceramics.

To learn more about for three stress-strain curves :

https://brainly.com/question/13261407

#SPJ4

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

For more questions on distance between

https://brainly.com/question/15958176

#SPJ8

Answer: 2(3x+1)

Step-by-step explanation:

2(3x+1) ==> 2(3x)+2(1)

6x+2

Answer:

2(3x + 1)

Hope that helps! :)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:

A) Slope =

\(m = \frac{1}{4} x\)

explanation:

Take 2 random points off the line, I used (4,1) & (8,2)

The formula to find the slope when given 2 points is

\(m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} \)

so in this case x1 & y1 are assigned to (4,1)

and x2 & y2 are assigned to (8,2)

so substitute the numbers into the formula and solve !

\( m= \frac{y2 - y1}{x2 - x1} = \frac{2 - 1}{8 - 4} = \frac{1}{4} \)

this will result in the answer I got above!!

B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals

C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

For more such questions sequence,Click on

brainly.com/question/7882626

#SPJ8

Answer:

What BOXES?

Step-by-step explanation:

Hey there!☺

\(Answer:\boxed{\frac{1}{5}}\)

\(Explanation:\)

\(\sqrt[3]{\frac{1}{125} }\)

Let's evaluate to get the answer:

\(\sqrt[3]{\frac{1}{125} }=\frac{1}{5}\)

1/5 is your answer.

Hope this helps!☺

The factored form of the trinomial x² - 2x - 35 is ( x - 7 )( x + 5 ).

Given the trinomial in the question;

x² - 2x - 35

To simplified in a factored form,

Consider the trinomial in its standard form; ax² + bx + c.

Now, find a pair of integers whose product is c and whose sum is b.

In this case, we use -7 and 5

The product of -7 and 5 = -35

The sum of -7 and 5 = -2

Next, we write the factored form using the integers -7 and 5

( x - 7 )( x + 5 )

Therefore, the factored form is ( x - 7 )( x + 5 ).

Learn more about the AC Method here: https://brainly.com/question/29166234

#SPJ1

Answer:

100

Step-by-step explanation:

Answer:

ONE CORRECTION:

all good, except the last should be Transitive Property

Step-by-step explanation:

If J is congruent to L and L is congruent to KNL, then J is congruent to KNL. This is what transitive property means.

So, Vanessa baked 153 lemon cakes.

Percentage is a way of expressing a number as a fraction of 100. It is often represented by the symbol "%". For example, if you have 50 apples and you want to express what proportion of those apples are red, you might say "50% of the apples are red". This means that 50 out of 100, or 0.5 out of 1, of the apples are red.

given by the question.

We can start by finding the number of banana cakes Vanessa baked:

35% of 420 = (35/100) *420 = 147

We know that she baked a total of 420 cakes and that 120 of those are vanilla and 147 are banana. Therefore, the number of lemon cakes she baked can be found by subtracting the number of vanilla and banana cakes from the total:

420 - 120 - 147 = 153

To learn more about fraction:

https://brainly.com/question/10354322

#SPJ1

Answer:

a. 6 faces

b. rectangular prism

c 2x3x3

Step-by-step explanation:

Hope this helps if you need explanation just ask

Answer:

I think it's 80!

Step-by-step explanation:

4x4 twice = 32

3x4 4 times = 48

so it should be 80

Answer:

  80 m²

Step-by-step explanation:

You want the surface area of a cuboid with dimensions 3 m, 4 m, and 4 m.

The area of the cuboid can be found using the formula ...

  A = 2(LW +WH +LH)

This can be simplified slightly to ...

  A = 2(LW +H(L +W))

For the given dimensions, we find the area to be ...

  A = 2(3·4 +4(3 +4)) = 2(12 +4(7)) = 80 . . . . square meters

The surface area of the cuboid is 80 square meters.

<95141404393>

The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.

Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.

It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.

The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.

Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.

To know more about graph click-
https://brainly.com/question/19040584
#SPJ1

Answer:

i love algebra anyways

the ans is in the picture with the steps

(hope it helps can p lz have brainlist it will make my day

Step-by-step explanation:

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

Here is your answer.

A tank contains 5832 litres of water.

Total amount of water in tank = 5832 litres.

Each day one-third of the water in the tank is removed and not replaced.

Since one third of the water is removed for six days.

1st day = 1/3rd of 5832 litres is removed

\( = \dfrac{5832}{3} = 1944\)

Amount of water left = 5832 - 1944 = 3888 litres

2nd day = 1/3rd of 3888 litres is removed

\( = \dfrac{3888}{3} = 1296 \)

Amount of water left = 3888 - 1296 = 2592 litres

3rd day = 1/3rd of 2592 litres is removed

\( = \dfrac{2592}{3} = 864 \)

Amount of water left = 2592 - 864 = 1728 litres

4th day = 1/3rd of 1728 litres is removed

\( = \dfrac{1728}{3} = 576 \)

Amount of water left = 1728 - 576 = 1152 litres

5th day = 1/3rrd of 1152 litres is removed

\( = \dfrac{1152}{3} =384 \)

Amount of water left = 1152 - 384 = 768 litres

6th day = 1/3rrd of 768 litres is removed

\( = \dfrac{768}{3} = 256 \)

Amount of water left = 1768 - 256 = 512 litres

So, 512 litres water remains in the tank at the end of 6 days