Mathematics College

The equation x^3-6x=72 has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answer correct to 1 decimal place. You must show all your working. On the same line as your final answer you must write ‘to 1 decimal place’

Answers

Answer 1

Answer:

4.6

Step-by-step explanation:

x³-6x=72

x³-6x-72=0 .... a solution between 4 and 5

x=4 x³-6x-72= 64-24-72 = -32

x=5 x³-6x-72= 125-30-72 = 23

we have to find an x value that makes x³-6x-72 --> 0

see the attachment, we can find the 0 value of x is between 4.63 and 4.64

‘to 1 decimal place’ of the solution is: 4.6 (4.63 is too small and 4.64 is too big)

The Equation X^3-6x=72 Has A Solution Between 4 And 5. Use A Trial And Improvement Method To Find This

Related Questions

Francis went to the sporting goods store and spent $75.15 on 6 items.
Five of those items were pairs of socks and each cost the same amount.
The 6th item was a soccer ball which cost $45. How much did each pair of
socks cost?

Answers

Answer:

$6.03

Step-by-step explanation:

The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.

So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.

Each pair of socks cost $6.03.

Simpler Explanation:

$75.15 - $45 = $30.15$30.15 / 5 = $6.03

The answer is $6.03

The owner of an apple orchard would like to estimate the mean number of usable apples produced per tree in his
large orchard. He selects a random sample of 10 trees from his large orchard. This dotplot displays the number of
usable apples produced for each of these trees.

Are the conditions for constructing at confidence interval met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, the conditions for inference are met.

Answers

Step-by-step explanation:

know the normal large sample condition is not met and also there are outliers

Answer:

Step-by-step explanation:

No, the Normal/large sample condition is not met.

log a 5 s 0.699 and log 22 0.301. Use one or both of these values to evaluate log 125.

Answers

Answer:

log 5^3 = 3 log 5 = 3(0.69897) = 2.09691

Step-by-step explanation:

log 125 = log 5^3 = y; find y:

log 5^3 = 3 log 5 = 3(0.69897) = 2.09691

Nate Dogg's 4/5 of a mile in 1/6 hour. which fraction represents Nate speed in miles per hour.

Answers

Answer:

24/5

Step-by-step explanation:

(6) 4/5 ------------ per 1/6h (6)

24/5----------- per 1h

A variable is normally distributed with mean 18 and standard deviation 8. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed.

a) Find the area to the left of 18.
0
Incorrect
b) Find the area to the left of 14.

c) Find the area to the right of 17.

d) Find the area to the right of 19.

e) Find the area between 14 and 30.

Answers

Answer:

a) The area to the left of 18 is 0.5.

b) The area to the left of 14 is if 0.309.

c) The area to the right of 17 is of 0.55.

d) The area to the right of 19 is of 0.45.

e) The area between 14 and 30 is of 0.624.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is the area to the left of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is the area to the right of X.

A variable is normally distributed with mean 18 and standard deviation 8

This means that [tex]\mu = 18, \sigma = 8[/tex]

a) Find the area to the left of 18.

This is the pvalue of Z when X = 18.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 18}{8}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5.

So the area to the left of 18 is 0.5.

b) Find the area to the left of 14.

This is the pvalue of Z when X = 14. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14 - 18}{8}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a pvalue of 0.309

The area to the left of 14 is if 0.309.

c) Find the area to the right of 17.

This is 1 subtracted by the pvaleu of Z when X = 17. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17 - 18}{8}[/tex]

[tex]Z = -0.125[/tex]

[tex]Z = -0.125[/tex] has a pvalue of 0.45

1 - 0.45 = 0.55

The area to the right of 17 is of 0.55.

d) Find the area to the right of 19.

This is 1 subtracted by the pvaleu of Z when X = 19. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{19 - 18}{8}[/tex]

[tex]Z = 0.125[/tex]

[tex]Z = 0.125[/tex] has a pvalue of 0.55

1 - 0.55 = 0.45

The area to the right of 19 is of 0.45.

e) Find the area between 14 and 30.

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 14.

X = 30

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 18}{8}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.933

From b), when X = 14, Z has a pvalue of 0.309.

0.933 - 0.309 = 0.624

The area between 14 and 30 is of 0.624.

The area to the left of 18 is 0.5, the area to the left of 14 is 0.309, the area to the right of 17 is 0.55, the area to the right of 19 is 0.45, and the area between 14 and 30 is 0.624.

Given :

A variable is normally distributed with a mean of 18 and a standard deviation of 8.

a) Use the z score formula in order to determine the area to the left of 18.

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{18-18}{8}=0[/tex]

For the z = 0 the p-value is 0.5.

Therefore, 0.5 is the area to the left of 18.

b) Use the z score formula in order to determine the area to the left of 14.

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{14-18}{8}=-0.5[/tex]

For the z = -0.5 the p-value is 0.309.

Therefore, 0.309 is the area to the left of 14.

c) Use the z score formula in order to determine the area to the right of 17.

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{17-18}{8}=-0.125[/tex]

For the z = -0.125 the p-value is 0.45.

Therefore, the area to the left of 17 is given by:

= 1 - 0.45 = 0.55

d) Use the z score formula in order to determine the area to the right of 19.

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{19-18}{8}=0.125[/tex]

For the z = 0.125 the p-value is 0.55.

Therefore, the area to the left of 19 is given by:

= 1 - 0.55 = 0.45

e) Use the z score formula in order to determine the area between 14 and 30.

At X = 30 the z score becomes:

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{30-18}{8}=1.5[/tex]

For the z = 1.5 the p-value is 0.933.

For the z = -0.5 the p-value is 0.309.

Therefore, the area to the left of 14 is given by:

= 0.933 - 0.309

= 0.624

For more information, refer to the link given below:

https://brainly.com/question/13299273

A rectangle measures 12cm by 4cm.
What is its area?

Answers

Answer:

48 is the area.

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

It would be the last answer

Answer:

The second option

Step-by-step explanation:

→ Work out what they are selling on Saturday

Chocolate = 88, vanilla = 132, lemon = 44 and red velvet = 176

→ Check if it correct

( 33 × 4 ) - ( 11 × 4 ) = 88

Find the area of the figure. Use 3.14 for it.
16 m
16 m
The area of the figure is about|
m?

Answers

Answer:

32 m squared

Step-by-step explanation:

Add 2 sides then it'll be squared for the area

Answer:

[tex]16 \times 16 + \frac{\pi}{4} \times {16}^{2} \\ 256 + 64\pi[/tex]

Help me pls I really need this answer

Answers

Answer:

Step-by-step explanation:

you need to find the absolute value

Questão 05 – Seu João deseja cercar um terreno quadrado de área igual a 36 m² no seu sítio, para fazer uma horta. Ele pretende cercar o terreno com 4 voltas de arame farpado e precisa saber quantos metros de arame vai usar na cerca. Sabendo que a medida de um lado do quadrado corresponde a raiz quadrada da área, determine a medida do lado do quadrado e quantos metros de arame seu João deve comprar?
Preciso DE RESPOSTA RAPIDO

Answers

Answer:‎

Step-by-step explanation:

HELP I CANT DO THIS-

Answers

1. C. Rectangle
2. F. 160
3. D. Triangular prism
4. H. 30 boxes
5. C. Equilateral Triangle

Geh aahhahahahahaha

Ahahahdhdkrhrvfh

Answers

Answer:

??/????

Step-by-step explanation:

Answer:

are you okay?

Step-by-step explanation:

just kidding...i know you're not...

Four pounds of bananas cost $6. What is the cost per pound of bananas?

Question 7 options:

$24 per pound

$1.50 per pound

$1 per pound

$6 per pound

Answers

$6/4pounds= 1.50 so $1.50 per pound is the answer

Help please?! This is graphing rational functions

Answers

Answer:

D: (-∞,2) (2,∞)

R:(-∞,0),(0,∞)

Step-by-step explanation:

From the graph we can see that the graph is approaching 0 horizontally and 2 vertically but not crossing so we can assumer these are the asymptotes. So the domain goes all the way from -∞ to 2 but does not cross 2 so we have to stop there and create another bracket for 2 to ∞. It is the same process for the range but in the y direction.

NEED HELP ASAP!!! 30 POINTS
1. Your mission is to dilate the rectangle shown below by a scale factor of 8, due to working off a 1/8th model.

(a) Calculate the length of each side of the dilated image you’ve created, and make certain to include your work below. You’ll need this for Part B.
(b) Draw the new image, label it, and put the measurements you calculated in Part A on your new figure with the appropriate units.
Answer:

Answers

Answer:

The dimensions of the rectangle dilated by a scale factor of 8 are 120 cm x 64 cm

Step-by-step explanation:

To dilate the rectangle, we multiply the value of its measurements by the scale factor, which is 8 in this case.

a) Length of each side

side AB = side CB = 15 cm

side AC = side BD = 8 cm

New measures

side A'B' = side C'B' = 15 * 8 = 120 cm

side A'C' = side B'D' = 8 * 8 = 64 cm

below is the image dilated by a factor of 8

a cube has edge length 10 cm. starting at the vertices dots are placed along every edge at 1cm intervals. how many dots will there be in total once the pattern has been completed?

Answers

Answer:

120 dots

Step by step explanation:

In total there are 120 dots on the edges of a cube.

Given that, a cube has an edge length of 10 cm. Starting at the vertices dots are placed along every edge at 1 cm intervals.

We need to find how many dots will there be in total once the pattern has been completed.

How many edges are there in the cube?

The number of edges in the cube is 12.

Now, the number of dots on an edge of 10 cm has 10 dots.

The total number of dots = Number of dots on an edge × Number of edges in a cube.

=10×12=120.

Therefore, in total there are 120 dots on the edges of a cube.

To learn more about the edges of the cube visit:

https://brainly.com/question/16256718.

#SPJ2

There is a box of colored marbles on the counter top. There are 24 blue, 16 green, and 56 red.

Write the ratio of green marbles to red marbles. Don't forget to put your answer in simplest form.

Answers

Answer:

i think its 2:7

Step-by-step explanation:

heres why

16 and 56 both have a number that equals which it is 8

so u divide

16/8=2

56/8=7

16:56 in simplest form is 2:7

Please help thank you so much Bobby is creating a banner for the homecoming parade. The banner consists of an isosceles triangle, a rectangle, and a semicircle. He wants to add sparkling lights around the trim of the banner.
What is the total length of sparkling lights he can add to the banner?

Answers

Answer:

total length =5+5+10+10+π(10/2)=45.71ft.

Perimeter of semicircle

πr8/2π4π12.56ft

Now

Total length

3+5+8+10+10+12.56-836+4.5640.56ft

Which pair of terms can be used to represent any two consecutive odd numbers?
x and x + 1
x and x + 2
x and 2 x + 1
2 x and 2 x + 1

Answers

Answer:

x and 2x+1

Step-by-step explanation:

Bad Investment After Mrs. Fisher lost 9% of her investment, she had $22,750. What was Mrs. Fisher's original investment?

Answers

Answer:

$2500

Step-by-step explanation:

Given that,

The lost percentage = 9%

Amount she had = $22,750

We need to find Mrs. Fisher's original investment.

As she had lost 9%, it means she will remain with 91% of her investment. Let the original investment is x.

So,

[tex]91\%\ of \ x=22,750\\\\\dfrac{91}{100}x=22,750\\\\x=\dfrac{22,750\times 100}{91}\\\\x=\$25000[/tex]

So, her original investment is equal to $25000.

Please answer this! 100 Points!

Answers

Answer:

23ft!!

Step-by-step explanation:

brainliest please?

Answer:

23 ft

Step-by-step explanation:

please please ASAP please

Answers

44
how to solve: 56*2=112
4928/112= 44

which expression is equivalent to the expression -3(4x - 2) - 2x?
A- -8x
B- -16x
C- -14x -2
D- -14x + 6

Answers

Answer:

D is the answer

Step-by-step explanation:

You just distribute the negative three and combine like terms

If a chicken farm has produced 2,386 eggs, select any expression that will estimate how many dozens can be packaged.

Answers

Answer:

198

Step-by-step explanation:

Divide 2386 by 12 and you will get 198.3

Answer:

2,386 divided by 10

Step-by-step explanation:

The chickens produced 2,386 eggs and a dozen = 10...

Which graph represents a function

Answers

Bottom left is the correct answer

What’s is the median number of guest at these parties

Answers

Answer:

Step-by-step explanation:

21 and 27

You are only given an option of 21, so take it.

Answer:

its 21

Step-by-step explanation:

the product of 5 and 6 reduced by t

Answers

Answer:

5(6-t)

Step-by-step explanation:

in math, product means the "sum" of the equation or the final answer

and in your case, that means 5*6, but then we also have to remember that we're "reducing" or subtracting 't'-

5(6-t)

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

The temperature in Chicago over 5 days were -5,0,4,-1,-3. Which list shows these temperatures arranged from least to greatest

Answers

I guess it's 4,0,-5,-3,-1

hope it helps you.

What happens to the volume of a sphere if its radius is multiplied by 6?

Answers

Answer:

216 times the original

Step-by-step explanation:

Volume 1 = 4/3 πr³

volume 2 = 4/3 π(6r)³

v 2 / v 1 = 6³ = 216

When the radius of a sphere is multiplied by 6, the volume is multiplied by 216

How to determine the volume?

Let the radius of the sphere be r

The volume of a sphere of radius, r is calculated as:

v = 4/3 πr³

When multiplied by 6, the radius becomes:

R = 6r

The new volume is then calculated as:

V = 4/3 π(6r)³

Divide both volumes

V/v = 4/3 π(6r)³ / 4/3 πr³

Evaluate the quotient

V/v = 6³

V/v = 216

Hence, when the radius of a sphere is multiplied by 6, the volume is multiplied by 216

Answers

Answer:

Step-by-step explanation:

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