Use a single digit times a power of 10 to estimate the number 0.00004167.
Rounded to the nearest hundred thousandth, the number 0.00004167 is
x 10
Written as a single digit times a power of ten, the estimate is
(Type whole numbers.)
Answers
Answer:
a. [tex]0.00004167 = 0.00004[/tex]
b. [tex]4* 10^{-5}[/tex]
Step-by-step explanation:
Given
[tex]0.00004167[/tex]
Solving (a): Round to the nearest hundredth thousandth
This means there would be 5 digits after the decimal.
So:
[tex]0.00004167 = 0.00004[/tex] -- (approximated)
(b) Express in standard form
A number in standard form has the following format;
[tex]a * 10^b[/tex]
Where
[tex]1 \leq a \leq 10[/tex]
So:
[tex]0.00004167[/tex]
becomes
[tex]4.167 * 10^{-5}[/tex]
This is because the decimal point was moved 5 places backwards
Approximate 4.167 to nearest integer; We have:
[tex]4* 10^{-5}[/tex]
Related Questions
Use this picture to answer the questions below.
Answers
Each cube is 1.5 cm long. Calculate the surface area.
Answers
Answer:
13.5cm square
Step-by-step explanation:
A=l×w = 1.5×1.5=2.25cm square
SA=2.25×6=13.5cm square
The surface area of the cube is 49.5 cm². Thus, option C is correct.
What is cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. It is a hexagon when viewed from a corner, and its net is commonly portrayed as a cross. The cube is one of the five Platonic solids and the only regular hexahedron.
The surface area of a solid item is a measurement of the entire area occupied by the object's surface.
The surface area formula is six times the square of the length of the cube's sides. It is represented as 6a2, where is the cube's side length. It is, in essence, the whole surface area.
Area of Cube = side*side
= 1.5x1.5
=2.25cm²
A total of 22 surfaces are exposed. So, the surface area of the cube is,
=22* 2.25
= 49.5 cm²
Therefore, option C is correct.
Learn more about surface area here:
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Complete question is mentioned in the image below.
Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?
Answers
Answer:
252 miles
Step-by-step explanation:
Evelyn earns $8.00 per hour. How much does she earn in 4 hours?
Answers
Answer:
32 dollars
Step-by-step explanation:
Answer:
Evelyn earned $32.00 in 4 hours.
Step-by-step explanation:
To solve this question, just multiply 8 by 4.
8 x 4 =$32
Therefore, Evelyn earned $32.00 in 4 hours.
Hope this helps! :D
PLZ HURRY!!!!!!!
This lesson is about proportional relationships there are three different problems it’s due by three
Answers
Answer:
Set 1) A and B are proportional because it is in the form of y = kx
Set 2) B is proportional because it is a straight line passing through the origin
Set 3) B and C because it uses the equation y = kx
The Sun of the interior angles of each polygon is 360 degrees. In the diagram DEFG≈SPQR. Find the value of X and Y.
Answers
Answer:
Y=30
Step-by-step explanation:
D+E+F+G=360
D+F=360-106-84=170
D+F=Q+S
Y+38+3Y+12=170
4Y=170-50=120
Y=30
X=4 ..............................
HELP ASAP "Steve's mom gives him 50$ to spend at the mall. He must but two new pairs of pants which each cost 19$ each. He can spend the rest at an arcade where each game cost 0.75
Which inequality can be used to determine the number (n) of arcade games Steve can play?
19 + 0.75n <50
19 + 0.75, n , <50
38 + 0.75n <50
38 + 0.75, n , <50
19 + 0.75n ≤50
19 + 0.75, n is less than or equal to, 50
38 + 0.75n ≤50
Answers
Answer:
bro i'm literally doing math homework right now and i don't know ANYTHING about it. so dude i def cant help u i'm sorry :')
Step-by-step explanation:
i think its c but im not sure
Answers
Answer:
Its B
Step-by-step explanation:
Kyle's home is located at point (0 , 0). Kyle travels up for 5 miles, right for 6 miles, down for 10 miles, left for 6 miles, and finally up again for 5 miles. What is Kyle's new location? *
A. (0,0)
B. (−1,0)
C. (0,−1)
D. (12,20)
Answers
Answer: i think 1,0
Step-by-step explanation:
Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. The interval is (34.5 years, 47.2 years).
A. What was the sample mean?
B. Find the margin of error?
C. Find the critical value tc for:
a. a 90% confidence level when the sample size is 22.
b. an 80% confidence level when the sample size is 49.
Answers
Answer:
a
[tex]\= x = 40.85[/tex]
b
[tex]E = 5.85[/tex]
Ca
[tex]t_c = 2.08 [/tex]
Cb
[tex] t_c = 1.282 [/tex]
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{a + b }{2}[/tex]
=> [tex]\= x = \frac{47.2 + 34.5 }{2}[/tex]
=> [tex]\= x = 40.85[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{b- a }{ 2}[/tex]
=> [tex]E = \frac{47.2- 34.5 }{ 2}[/tex]
=> [tex]E = 5.85[/tex]
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
The sample size is n = 22
Given that the sample size is not sufficient enough i.e [tex]n < 30[/tex] we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 22 - 1[/tex]
=> [tex]df = 21[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of 21 is
[tex]t_c =t_{\frac{\alpha }{2} , 21 } = 2.08 [/tex]
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex] t_c =Z_{\frac{\alpha }{2} } = 1.282 [/tex]
Which expression is equivalent to p.q.q.q.q.q.q.q.q.q?
Answers
You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out
Answers
Answer:
the average times per week that college students across the nation eat out lies within these 95% confidence interval
[tex] 3.938 < \mu < 4.062 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1501
The sample mean is [tex]\= x = 4[/tex]
The standard deviation is [tex]\sigma = 1.5[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{1.5 }{\sqrt{1501} }[/tex]
=> [tex]E = 0.06196 [/tex]
Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]4 -0.06196 < \mu < 4 + 0.06196[/tex]
=> [tex] 3.938 < \mu < 4.062 [/tex]
Hence the true average times per week that college students across the nation eat out lies within this interval
A model giving the area A, in square meters, of a path is A = x^2 - 18x +80. Which equivalent expression shows the length and the width of the path?
A. A= (x-15)(x-3)
B. A = (x-10)(x-8)
C. A= (x-16)(x-5)
D. A = (x-20)(x-4)
Answers
Answer:
B
Step-by-step explanation:
The equivalent expression shows the length and the width of the path is (x-10)(x-8).
What is Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x²term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.
Given:
A = x² - 18x +80.
Now, factorizing
x² - 10x - 8x + 80
=x(x-10) - 8(x-10)
=(x-8)(x-10)
Hence, equivalent expression shows the length and the width of the path is (x-10)(x-8).
Learn more about quadratic equation here:
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The density curve below represents the number of minutes Anastasia takes to go from her chemistry class to her Spanish class. у x 1 3 4 N What is the height of the density curve?
Answers
Answer:
0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
I NEED HELP PLZ ITS FOR MY FINAL
Answers
Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!
Answers
Answer:
880 rotations or D
Step-by-step explanation:
72 inches = 72 / 12 = 6 feet
1 mile = 5280 feet
1 rotation covers 6 feet
x rotations covers 5280 feet
1/x = 6/5280 Cross multiply
6x = 5280 * 1 Divide by 6
x = 5280 /6
x = 880
D
using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².
Answers
Answer:
D
Step-by-step explanation:
I
Tori had a $300 unpaid balance after last month's payment on her account. Her annual percentage rate is 21%. The minimum payment due is $25. How much of that is interest for one
month on the unpaid balance?
Answers
Answer:
After the passage of a month, the interest that Tori must pay will be $ 4.81.
Step-by-step explanation:
Given that Tori has an unpaid balance of $ 300 on her credit card, and that said credit card has an annual interest of 21% on the unpaid balances, considering that the minimum payment is $ 25, to determine how much she should pay after a month of After your debt, it is necessary to perform the following calculation:
12 = 21
1 = X
21/12 = X
1.75 = X
((300 - 25) x 1.75 / 100) + 300 = X
4.81 + 300 = X
304.81 = X
Thus, after the passage of a month, the finance charge that Tori must pay will be $ 4.81.
what is the product of 3 2/3 and 14 2/5
Answers
Answer:
The answer is 52.8
Step-by-step explanation:
Also have a picture of calculator
Step-by-step explanation:
[tex] = \frac{32}{3} \times \frac{142}{5} [/tex]
[tex] = \frac{4544}{15} [/tex]
A box of fruit gummies from Sam’s Club has 36 individual packs. If the box is $8.64, what is the price per pack of gummies?
Answers
simplify the complex fraction 7/10 -2/5 then rewrite the complex fraction what's the answer please
Answers
Answer:
7/10-2/5 = 7/10 - 4/10 = 3/10
Which model shows two equal expressions when the value of X is 4
Answers
Answer:
A
Step-by-step explanation:
A has 4 boxes with XS and the end result is 4 1s which add up to 4 Xs
Answer:
A
Step-by-step explanation:
What is the solution to this equation 2x + 10 equals 28
Answers
Answer:
X=9
Step-by-step explanation:
2X+10=28
-10 -10
2X=28
DIVIDE BOTH SIDES BY 2
In the image...i showed the work
HELP ASAP WILL GIVE 25 POINTS
Answers
1.Find x
2.Find TU
3.Find UV
Answers
Answer:
x = 6, TU = UV = 18
Step-by-step explanation:
Since U is the midpoint of TV , then
UV = TU , substitute values
5x - 12 = 3x ( subtract 3x from both sides )
2x - 12 = 0 ( add 12 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Thus
TU = 3x = 3(6) = 18
UV = 5x - 12 = 5(6) - 12 = 30 - 12 = 18
Identify the following parasite provided and draw a large labelled diagram of each
specimen
Answers
Answer:
Spiced eye gonna flush my toilet now ;)
Answer:
hes right
Step-by-step explanation:
Find the area of a circle with diameter 12 m.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.
Answers
Answer:
113.04m²
Step-by-step explanation:
Area of circle: [tex]\pi[/tex] × r²
Radius = [tex]\frac{diameter}{2}[/tex]
We can just apply the formula to the question:
Area of circle = 3.14 × ([tex]\frac{12}{2}[/tex])²
= 3.14 × 36
= 113.04m²
A used automobile dealership recently reduced the price of a used compact car by 10%. If the price of the car before discount was $18,100, find the discount and the new price.
Answers
Answer:
The discounted price would be 16290 as 18100 times 10 over 100 is 1810 so subtract that from 18100 and you get 16290
Step-by-step explanation:
Also if you could please check out our you tube channel called Evimero Academy
$1810= discount
18,100-1810=
$16290= new price
90% of 20 is equal to
Answers
Answer:
18
Step-by-step explanation:
Answer:
18 percent
Step-by-step explanation:
take away the zeros multiply them and then boom
y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(
Answers
Answer:
Step-by-step explanation:
Vertex
