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3 years ago

3 more than the cube of a number

Mathematics

2 answers:

Vinvika [58]3 years ago

8 0

Answer:

$x^{3}$ + 3

Step-by-step explanation:

goblinko [34]3 years ago

4 0

Answer:

3+x^3

plz mark brainliest

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The value of a collectible toy is increasing exponentially. The two points on the graph

shtirl [24]

The question is incomplete. Here is the complete question.

Part A

The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.

Express the toy's value t, in dollars, as a function of time w in weeks after purchase.

Part B

Write an expression to represent the toy's value 10 days after purchase

Answer and Step-by-step explanation: An exponential function is of the form: $y=ab^{x}$

Part A

Translating to the question, the toy's value as a function of time is

$t=ab^{w}$

To determine constants a and b, we use points given by graph.

First, (0,5) to find a:

$5=a.b^{0}$

a = 5

Now, (3,10) to determine b:

$10=5b^{3}$

$b=\sqrt[3]{2}$

b = 1.26

The toy's value as a function of time in weeks is $t=5.(1.26)^{w}$

Part B

Since, the function is in weeks:

1 week = 7 days

w weeks = 10 days

$w = \frac{10}{7}$

Replacing w:

$t=5.(1.26)^{w}$

$t=5.(1.26)^{10/7}$

Expression that represents toy's value after 10 days is $t=5.(1.26)^{10/7}$ .

8 0

3 years ago

For a project on Egypt, Nick is building a paper model of a square based pyramid. The square base measures 8 inches by 8 inches.

gladu [14]

Answer:

Step-by-step explanation:

The square base measures 8 inches by 8 inches. The slant height is 10 inches.

The formula for determining the area of the square base of the pyramid is l^2. Therefore,

Area of the base = 8^2 = 64 inches^2

The formula for determining the perimeter of the square base is

4l. It becomes

4 × 8 = 32 inches

The amount of construction paper needed to make this pyramid is the total surface area of the pyramid. Therefore,

Total surface area = (1/2 × 32 × 10) + 64

= 160 + 64 = 224 inches^2

5 0

3 years ago

Find the value of x .......

yan [13]

Answer:

The answer is x = 6 cm

Step-by-step explanation:

4/2 = x/3

x = (4x3)/2

x = 12/2

x = 6 cm

6 0

3 years ago

Jackie kessel has found a home she would like to purchase. The seller accepts her offer of 210900. Jackie will make a down payme

raketka [301]

210900 × 0.15 = 31635
210900 - 31635 = 179265
179265 is the mortgage loan

3 0

3 years ago

Please help! see attached

nikdorinn [45]

Answer:

The lowest value of the confidence interval is 0.5262 or 52.62%
The highest value of the confidence interval is 0.5538 or 55.38%

Step-by-step explanation:

Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.

The general expression to apply here is;

$C.I=p+-z*\sqrt{\frac{p(1-p)}{n} }$

where ;

p=sample proportion

n=sample size

z*=value of z* from the standard normal distribution for 95% confidence level

Given;

n=5000

Find p

From the question 54% of people chosen said they did not have children under 18 living at home

$\frac{54}{100} *5000 = 2700\\\\p=\frac{2700}{5000} =0.54$

To calculate the 95% confidence interval, follow the steps below;

Find the value of z* from the z*-value table

The value of z* from the table is 1.96

calculate the sample proportion p

The value of p=0.54 as calculated above

Find p(1-p)

$0.54(1-0.54)=0.2484$

Find p(1-p)/n

Divide the value of p(1-p) with the sample size, n

$\frac{0.2448}{5000} =0.00004968$

Find the square-root of p(1-p)/n

$=\sqrt{0.00004968} =0.007048$

Find the margin of error

Here multiply the square-root of p(1-p)/n by the z*

$=0.007048*1.96=0.0138$

The 95% confidence interval for the lower end value is p-margin of error

$=0.54-0.0138=0.5262$

The 95% confidence interval for the upper end value is p+margin of error

$0.54+0.0138=0.5538$

7 0

3 years ago

Read 2 more answers