A type of wood has a density of 250 kg/m3. How many kilograms is 75,000 cm3 of the wood? Give your answer as a decimal.
Answers
V=75000cm3=0,075m3
Kg=?
D=m*v
m=d/v
m=250/0.075=3333,33kg
Related Questions
Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś
Answers
Answer:
X | y
---------------
-2 | 3
-1 | 0
0 | -3
1 | -6
A topological group G is a group that is also a topological space satisfying the T1 axiom, such that the map of G×G into G sending x×y into x⋅y, and the map of G into G sending x into x−1, are continuous maps.
Answers
The topological group G is a group that is also a topological space satisfying the T1 Axiom that is, there is a topology on the elements of G and all sets of a finite number .
Given :
A topological group G is a group that is also a topological space satisfying the T1 axiom, such that the map of G * G into G sending x * y into x⋅y, and the map of G into G sending x into x^−1, are continuous maps.
When we say the map of G * G into G defined as (x, y) 7 → x·y is continuous, we use the product topology on G * G. Since inversion maps G to G, the topology on G is used both in the domain and co - domain.
Every group G is a topological group. We just equip G with the discrete
topology. Continuity of the binary operation follows at (x, y) ∈ G * G by taking the open set O = { x · y } (the “δ set” ) for any given open set in G * G containing (x, y) (the “ε set”).
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Jon earns $3 for every package he wraps. To take a package to the post office, Jon earns 1.65 times as much as he earns for wrapping a package. How much will Jon earn for wrapping a package and taking it to the post office?
Answers
Answer:
a1 = 1, a2 = 2Step-by-step explanation:
What is the "least common denominator" of the following two fractions:
1/6 and 1/2
Answers
Answer:
it is 6
Step-by-step explanation:
2 and 6 are the denominators and the least common denominator is the number in which 2 & 6 can go in without leaving a remender and 6 is that number
Answer:
The LCD of the fractions 1/6 and 1/2 is 6
Step-by-step explanation:
The LCD of 2 or more fractions is the least common multiple of the denominators.
The given fractions are 1/2 and 1/6. The denominators are 2 and 6
List the multiples of each denominator:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, ..
The least common multiple that the two share is 6.
So the LCD of 1/2 and 1/6 is 6.
(b) Find the sum of first twenty terms of the following arithmetic progressions A.P
(i) -4,-1, 2,...
(ii) 2, 3, 5,...
(iii) -2, -5, -8, -11,...
Answers
Answer:
-4*20+3*190=490
2*20+190=230
-2*20-3*190=-610
Write a cubic function whose graph is shown.
(-3,0)
(-6,0)
(3, 0)
(0,-9)
Answers
Answer:
\(\displaystyle f(x)=\frac{1}{6} x^3+x^2-\frac{3}{2} x-9\)
Step-by-step explanation:
I need work shown as well
Answers
Answer:
A
Step-by-step explanation:
area of the triangle is 5 x 2/ 2 which is 5
area of the square is 25
area of the semi circle is 1/2 * 3.14 * 2.5^2 which is 9.8125
9.8125. + 25 + 5 = 39.8125
Which describes the correct way to convert minutes to hours? Divide the number of minutes by 24 Multiply the number of minutes by 24 Divide the number of minutes by 60 Multiply the number of minutes by 60 Mark this and return Save and Exit Next Sube
Answers
Answer:
divide the number of minutes to hours
Answer:
Its c which is divide the number by 60
Step-by-step explanation:
I did the quiz and got it right
please answer or i fail
Answers
Answer:
42
Step-by-step explanation:
360 - ( 139 + 45+ 90+44)
Answer:
42 °
Step-by-step explanation:
complete angle = 360 ° . therefore sum of all angles around a single point is equal to 360 ° .
360° - 139° - 45° - 90° - 44° = x
x = 180 - 138 = 42 °
factor and solve
x^2-4x=5
Answers
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.
Solve x^2+8x+22=0 by completing the square.
Answers
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
You want to buy a $186,000 home. You plan to pay 15% as a down payment, and take out a 30 year
loan for the rest.
a) How much is the loan amount going to be?
b) What will your monthly payments be if the interest rate is 6%?
c) What will your monthly payments be if the interest rate is 7%?
Answers
The loan amount is going to be $27,900, (b) monthly payments at 6% = $790.50 and (c) monthly payments at 7% = $916.98
How to determine the loan amount?15% down payment = .15 * 186,000 = $27,900
subtract that from 186,000 and your mortgage loan needs to be $158,100
For the first part, your inputs will be:
present value = $158,100
future value = 0
number of time periods = 30 * 12 = 360
interest rate per time period = 6/12 =0 .5%
payments are to be made at the end of each time period.
Then 0.5% of the present value will give
0.5% * 158100 = $790.50
c) for the second part, everything will be the same except the interest rate per time period will be 7 / 12 = .0.58%
Then, your monthly payments be if the interest rate is 7%
= 0.58/100 * $158,100
$916.98
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Solve the equations
Answers
Answer:
Step-by-step explanation:
3. 3x - 12 = -2x - 12
5x - 12 = -12
5x = 0
x = 0
4. 7x - 14 = 5x + 20
2x - 14 = 20
2x = 34
x = 17
5. 9x + 18 = 3x - 6
6x + 18 = -6
6x = -24
x = -4
6. 3 + 2x + 2 = 3x + 6
2x + 5 = 3x + 6
3x + 6 = 2x + 5
x + 6 = 5
x = -1
Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
Answers
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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Val's whole-house central air conditioner uses 2,500 watts when running. Val runs the AC 5 hours per summer day. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?
Answers
The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Quantity of electricity used in kilowatts is;
1000 watts = 1 kilowatts
2,500 watts = 2.5 kilowatts
Given that Number of hours Val runs AC per day = 5 hours
Number of days = 30 days
Cost of electricity = $0.18 kilowatts per hour
The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;
= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity
= 2.5 × 5 × 30 × 0.18
= $67.5
The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.
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PLEASE HELP i realy don’t understand this at all
Answers
Check the picture below, recall that the radius of a circle is always the same length in the circle.
Item cost $430 sales tax was $8.60 what is the percentage of the sales tax rate
Answers
Answer:
2%
Step-by-step explanation:
You can write it out as equation first.
430*x%=8.60, leave x% alone, so the equation will change into
x%=8.60/430
8.60/430=0.02=2%
therefore, x%=2%
What's the solution to the following linear system?
y = 4x + 1
y = 4x
Question 4 options:
(−2, 3)
(4, 0)
Infinitely many solutions
No solution
Answers
Answer:
No solution
Step-by-step explanation:
4x = 4x + 1
0 unequal to 1
Answer: D. No solution
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You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.
H
o
:
μ
=
57.7
H
a
:
μ
≠
57.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
286
with mean
M
=
59.6
and a standard deviation of
S
D
=
7.7
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Answers
Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = 4.17.The p-value is of 0.0004.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 57.7, that is:
\(H_0: \mu = 57.7\)
At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:
\(H_a: \mu \neq 57.7\)
What is the test statistic?The test statistic is given by:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean.\(\mu\) is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
\(\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286\)
Hence, the test statistic is:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}\)
t = 4.17.
What is the p-value?We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.
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Crystal has 25 lollipops. Angie has 12 more lollipops than Crystal.
How many lollipops do the girls have all together?
Answers
Answer:
Both the girls have 62 lollipops
Step-by-step explanation:
25+25=50
50+12=62
Answer:
62 lollipops
Step-by-step explanation:
If Angie has 12 more lollipops than Crystal...
25 + 12 = 37 lollipops
Angie has 37 lollipops and Crystal has 25 lollipops. In total, that is...
37 + 25 = 62 lollipops
In which interval is the radical function f of x is equal to the square root of the quantity x squared 2 times x minus 24 end quantity increasing?
Answers
We get that the function f (x) = √ x² - 2 x - 24 is increasing at the interval [6, ∞).
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
We are given the function as:
f (x) = √ x² - 2 x - 24
From the graph, the function f (x) = √ x² - 2 x - 24 is increasing over the interval [6, ∞).
Therefore, we get that the function f (x) = √ x² - 2 x - 24 is increasing at the interval [6, ∞).
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Each day a small business owner sells 200 pizza slices at $1.50 per slice and 85 sandwiches at $3.00 each. Business expenses come to $100 per day. What is the owner's profit for a ten-day period?
Answers
The owner's profit for a ten-day period is $ 6100.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We are given that the Selling price of 1 pizza slice = $ 2.50
Then Number of pizza slice sold per day = 200
The Selling price for pizza slices in a day is;
200 × $ 2.50
SP ( pizza ) = $ 500
Selling price of 1 sandwich = $ 2
Thus Number of sandwich sold per day = 85
Selling price for pizza slices in a day;
85 × $ 2
SP ( sandwich ) = $ 170
Selling price in 1 day is;
$ 500 + $ 170 = $ 670
Now, Cost price in 1 day = $ 60
Profit in one day = $ 670 - $ 60 = $ 610
Profit in 10 days = 10 × $ 610
= $ 6100
Therefore, the owner's profit for a ten-day period is $ 6100.
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Find the circumference of a circle with a Radius = 4 ft. Use 3.14 for it, and round to 2 decimal places.
Answers
Answer:
Circumference would be 25.12ft
Step-by-step explanation:
So circumference formula is pi(diameter)
We know the radius so to find the diameter we multiply the radius by 2.
so 4(2)=8
and since pi is 3.14 then multiply 8(3.14)
youll get 25.12
Answer:25.12
Step-by-step explanation:
formula is d(pi)
so 8(3.14)
25.12
.What is the correct expanded form for the number 84.76?
Answers
Answer:
this is the awnser: 80 + 4 + 0.7 + 0.06
Answer:
23,958 =
20,000
+ 3,000
+ 900
+ 50
+ 8
Expanded Factors Form:
23,958 =
2 × 10,000
+ 3 × 1,000
+ 9 × 100
+ 5 × 10
+ 8 × 1
Expanded Exponential Form:
23,958 =
2 × 104
+ 3 × 103
+ 9 × 102
+ 5 × 101
+ 8 × 100
Step-by-step explanation:
This data is from a sample. Calculate the mean, standard deviation, and variance. Suggestion: use technology. Round answers to two decimal places.
x
22.8
49.8
17.5
44.1
33.2
20.6
43.2
37.7
Mean =
Standard Deviation =
Variance =
Ooops - now you discover that the data was actually from a population! So now you must give the population standard deviation.
Population Standard Deviation =
Answers
1. Mean = 33.61
2. Standard Deviation = 11.3284
3. Variance = 128.33
What are the mean, standard deviation, and variance?The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)
To get mean, we will sum up all the numbers and divide by the total count. The mean is:
= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8
= 268.9 / 8
= 33.62
Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)
= \(\sqrt{128.3336}\)
= 11.3284420818
= 11.3284
Variance = (Standard Deviation)^2
Variance = \(11.3284 ^2\)
Variance = 128.33264656
Variance = 128.33.
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55 POINTS QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will match 50% of your friend's contributions.
Answers
a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.
b. The total monthly contribution to the fund is $180.
The computation of FV in Excel is shown in the attachment below:
What is meant by growth rate?Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.
GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.
20 years is the age.
20 times 12 periods equals 240.
3% growth rate
The computation of FV in Excel is shown in the attachment below:
So, FV= $7,223,115.77
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The circumference of the cylinder below is 6 cm and the height is 8 cm. What is the curved surface area of the cylinder? If your answer is a decimal, give it to 1 d.p. circumference = 6 cm
8 cm
Answers
The curved surface area of the cylinder is 48.06 cm².
The circumference of a cylinder is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the base.
In this case, the given circumference is 6 cm.
So, 6 = 2πr
r = 6 / (2π)
r ≈ 0.955 cm
Now, the curved surface area (CSA) of the cylinder using the formula:
CSA = 2πrh
Given the height as 8 cm, we can substitute the values into the formula:
CSA = 2π(0.955 cm)(8 cm)
CSA ≈ 48.06 cm²
Therefore, the curved surface area of the cylinder is 48.06 cm².
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Two times the sum of a number and 8 is negative 48 what is the number?
Answers
Answer:
-32
Step-by-step explanation:
Let the number be x.
\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)
Questions:
a. How much will Mr. Santos has saved after 2 weeks? After 3
weeks? 4 weeks? After 5 weeks? After 6 weeks? After 7 weeks?
Summarize your answer using the table below.
5
7
Week
1
2
3 4
6
No.
Savings 300 300 + 100
= 400
b. Describe the pattern you used to fill in the table.
II
Answers
122222222222222222222222222222222222
A decision maker is interested in estimating a population proportion. A sample of size n150 yields 115 successes. Based on these sample data, construct a 90% confidence interval estimate for the true population proportion. A. (0.714, 0.826) B. (0.717, 0.823) C. (0.750, 0.790) D. (0.737, 0.803)
Answers
A. (0.714, 0.826)
Step-by-step explanation:
Given that:
The sample size n = 150
The number of success(sample proportion) x = 115
The population proportion \(\hat p\) = \(\dfrac{x}{n}\)
The population proportion \(\hat p\) = \(\dfrac{115}{150}\)
The population proportion \(\hat p\) = 0.767
At 90% confidence interval level;
\(Z_{\alpha /2} = Z_{0.05} = 1.645\)
Thus, the confidence interval estimate for the true population proportion can be computed by using the formula:
\(=\hat p \ \pm \ z_{\alpha /2} \sqrt{\dfrac{\hat p(1- \hat p)}{n} }\)
\(= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(1- 0.767)}{150} }\)
\(= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(0.233)}{150} }\)
\(= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.178711}{150} }\)
\(= 0.767 \ \pm 1.645 * \sqrt{.0011914}\)
\(= 0.767 \ \pm 1.645 * 0.03452\)
\(= 0.767 \ \pm 0.0568\)
= (0.767 - 0.0568, 0.767 + 0.0568)
= (0.7102 , 0.8238 )
Due to approximation; the confidence interval estimate for the true population proportion is \(\simeq\) (0.714, 0.826)