Answer:
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a. The decimal number 0.00000896 can be written as 8.96 × [tex]10^{-6}[/tex] in scientific notation.
b. 1.1105 pounds is written in standard notation as 1.1105 pounds.
We have,
(a) To write the number 0.00000896 moles per liter in scientific notation, we move the decimal point to the right until there is one
non-zero digit to the left of the decimal point.
The number of decimal places we moved to the decimal point will be the exponent of 10 in the scientific notation.
So,
= 0.00000896
= 896/100000000
= 896 x 100/100 x [tex]10^{-8}[/tex]
= 896/100 x [tex]10^{-8 + 2}[/tex]
= 8.96 × [tex]10^{-6}[/tex]
(b)
To write the number 1.1105 pounds in standard notation, we simply write the number as it is, without any scientific notation or exponent.
1.1105 pounds is written in standard notation as 1.1105 pounds.
Thus,
a. The decimal number 0.00000896 can be written as 8.96 × [tex]10^{-6}[/tex] in scientific notation.
b. 1.1105 pounds is written in standard notation as 1.1105 pounds.
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What is the first step in solving 5 + = 3?
A. add 5 to both sides
B. add 3 to both sides
C. subtract 5 from both sides
D. divide each side by 8
Answer:
c subtract 5 from both sides
Select the graph of the function g(x) = 4(0.6)x based on what you learned about its key features.
The picture below is the answer I got correct.
The graph of an exponential function shows a geometric increase or decrease using a curve
Exponential graphsExponential functions are inverse of logarithmic functions. The standard exponential function is expressed as:
y = ab^x
where
a is the base
x is the exponent
The graph of an exponential function shows a geometric increase or decrease using a curve. According to the function given there will a decrease rate due to the value of the rate value given which is less than 1. The graph of the function given is attached below;
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First dispensed is 1/3 of a quart, later 1/4and then you dispensed 3 1/2 quarts. What’s the total volume that is dispensed
Answer:4 1/12.
Step-by-step explanation: First, you add 3 and a half with a quarter. A half equals two quarters so it equals 3 and 3/4. Then, you add 3 3/4 with 1/3. A common denominator here is 12. 3/4 times 3/3 = 9/12. 1/3 times 4/4 = 4/12. 9+4 = 13. The answer is more than one so we carry and get 4 and 1/12.
You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 12 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.
19 12 7 8 16 12 21 26 28 19 10 12
a. To compute the confidence interval use a
?
distribution.
b. With 95% confidence the population mean number of visits per physical therapy patient is between
and
visits.
c. If many groups of 12 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of visits per patient and about
percent will not contain the true population mean number of visits per patient.
In order to calculate the confidence Interval, what we need is the t distribution. The population mean number of visits is 11.667 and 19.9928 visits. 95 percent contains true mean while the other 5 does not.
How to solve for the statisticsWe have n = 12
df = n- 1 = 11
a. To compute the confidence interval use a t distribution.
The mean = fx/n
= 15.83
level of significance = 0.05
standard deviation = 6.555
t α/2, df = 2.20
standard error = 6.555 / √ 12 = 1.8922
margin of error , = 2.2 * 1.8922 = 4.1628
barx - E = 15.83 - 4.1628 = 11.6672
barx + E = 15.83 + 4.1628 = 19.9928
With 95% confidence the population mean number of visits is between 11.667 and 19.9928 visits.
c. About 95 percent of these confidence intervals will contain true mean.
about __5__percent will not contain the true population
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What is the name for a mathematical phrase? O A. An inequality OB. An operation OC. An expression OD. An equation
If an event has a 55% chance of happening in one trial, how do I determine the chances of it happening more than once in 4 trials?
The chances of it happening more than once in 4 trials is 13%
How to determine the numberFrom the information given, we have can deduce that;
Probability of 1 trial = 55%
= 55/ 100
Find the ratio
= 0. 55
We are to find the probability of it happening more than once in 4 different trials
If the probability of it happening in one trial is 555 which equals 0. 55
Then the probability of it happening in 1 in 4 trials is given as;
P(1/4 trials) = 1/ 4 × 55%
P(1/4 trials) = 1/ 4 × 0. 55
Put in decimal form
P(1/4 trials) = 0. 25 × 0. 55
P(1/4 trials) = 0. 138
But we have to know the percentage
= 0. 138 × 100
Multiply the values, we have
= 13. 8 %
Thus, the chances of it happening more than once in 4 trials is 13%
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Does the following series converge or diverge?
Σ
n=1
4
8√n +7³√n
O The series diverges.
O The series converges.
Answer:
converges
Step-by-step explanation:
the individual fraction terms go against 0 with larger and larger n.
and therefore the sum converges.
the numerator of the fractions stays constant (4) but the denominator (bottom) of the fraction increases more and more with investing n (it does not matter that it uses roots, compared to the constant 4 they too grow immensely large with large n).
the limit of a/infinity is defined as 0.
Please help me ASAP TYYY
Answer:
addition property
Step-by-step explanation:
See attached image.
What is the first step to solve the equation A. Square both sides of the equation. B. Add 5 to both sides of the equation. Square. 5, and -3. C. D. None, because there is no solution. 2x-5--3?
Hi :)
I'd start by adding 5 to both sides of the equation. That would make the equation easier.
[tex]\boldsymbol{\sqrt{2x}-5=3}}[/tex]
[tex]\boldsymbol{\sqrt{2x}=2}[/tex]
The next step is to get rid of the radical sign.
Which operation will undo the square root? Squaring.
So that's why we square both sides:
[tex]\boldsymbol{2x=4}[/tex]
And Now we just divide both sides by 2
[tex]\boldsymbol{x=2}[/tex]
~[tex]\textit{\textbf{Learn More; Work Harder}}[/tex]~
:)
What's the forecasted capital expenditure based on the information below? • Net PP&E beginning of period: 15,000 • Net PP&E end of period: 17,500 Depreciation expenses: 2,400
The forecasted capital expenditure related to the information below exists at 4,900.
Therefore, the correct answer is option b) 4,900.
What is Capital?Capital exists directed as the lifeblood of any business. It exists the group of assets of the business that contains their financial value to create the production of goods and services.
For calculating the forecasted capital-
Net PP&E beginning of period = 15,000
Net PP&E end of period = 17,500
Depreciation expenses = 2,400
Forecasted capital expenditure = Net PP&E end of period + Depreciation expenses - Net PP&E beginning of the period
= 17500 + 2400 - 15,000
Forecasted capital expenditure = 4,900
Therefore, the correct answer is option b) 4,900.
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The complete question is:
What’s the forecasted capital expenditure based on the information below?
Net PP&E beginning of period: 15,000
Net PP&E end of period: 17,500
Depreciation expenses: 2,400
Review Later
a) 2,500
b) 4,900
c) 100
d) -100
What operation is being done to the variable in the equation -5m = -40?
Answer:
m=8
Step-by-step explanation:
-5m=-40
divide both side by -5
-5m=-40
-5=-5 answer is m=8
A recipe for lemon bars called for 9" X 13" pan. How many 1" X 1" bars can be cut? How many 2" X 2" bars can be cut? How much is wasted if your serve only 2" X 2" square bars?
The number of bars which can be cut for the 1" X 1" and 2" X 2" square bars are; 117 and 29 units respectively.
How many bars can be cut from the pan in each case?The total area of the given pan can be evaluated as follows;
Area = length × width
= 9 × 13
= 117 square units.
Hence, the number of 1" X 1" bars can be cut which can be cut from the pan;
= 117/(1×1)
= 117 1" X 1" bars.
For the 2" X 2" square bars, we have;
= 117/(2×2);
29 remainder 1 square unit.
Ultimately, one square unit of the pan is wasted for the 2" X 2" square bars.
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Line l has a slope of -3. The line through which of the points is perpendicular to l
Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 5% in interest and the other pays 2% in interest, how much does he have in each account if he earned a total of $550 in interest in 1 year?
a = amount invested at 5%
b = amount invested at 2%
now, we know the total invested by Mr Wilson was 20000, so whatever "a" and "b" might be, we know that a + b = 20000.
[tex]a + b = 20000\implies b = 20000-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{5\% of a}}{\left( \cfrac{5}{100} \right)a}\implies 0.05a~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)a}\implies \begin{array}{llll} 0.02b\\\\ \stackrel{substituting}{0.02(20000-a)} \end{array}[/tex]
now, we know the total of earned interest is 550 bucks, so then
[tex]0.05a~~ + ~~0.02(20000-a)~~ = ~~550\implies 0.05a+400-0.02a=550 \\\\\\ 0.03a+400=550\implies 0.03a=150\implies a=\cfrac{150}{0.03}\implies a=5000 \\\\\\ ~\hspace{24em}\stackrel{20000~~ - ~~5000}{b=15000}[/tex]
Paula finished the race at 2:14 p.m Beatrice finished the race 22 minutes earlier what time did Beatrice finish the race a 1:54 p.m b 1:48 p.m. c 1:58 p.m. d 1:52 p.m. e none of these f I don't know yet
Answer: 1:52 PM
Step-by-step explanation:
PAULA: 2:14PM FINISHED THE RACE
BEATRICE: FINISHED 22 MINUTES EARLIER THEN PAULA
YOU TAKE 2:14PM AND SUBTRACT THE 22 MINS BEATRICE RAN TO GET YOU ANSWER.
SO 2:14 -14 MINS=2:00PM 14+8=22 (THE MINS BETRICE FINISHED)
2:00-8 MINS ( REMAINING FROM THE 22 ) THEN 2:00-8 MINS =1:52
ANSWER:1:52PM
Can anyone help me with this question!
Answer:
94. 25 in³Step-by-step explanation:
The radius of the base is the distance between the center of the circle and the edge of the base, therefore in this case it is equal to 3 in.
The volume of a cone is given by:
V = π * r² * h / 3
V = π * (3)² * 10 / 3
V = 94. 25 in³
Therefore, The volume of is 94. 25 in³.
Step-by-step explanation:
6.25 points
Find the GCF for the list.
10m4, 40m⁹
10m5
40m4
10m4
6.25 points
list
What is the distance between the following points? Khan Academy Distance between two points
Answer: A
Step-by-step explanation:
The points are (-5, 8) and (4, 6).
The distance is [tex]\sqrt{(-5-4)^2 + (8-6)^2}=\sqrt{85}[/tex]
You can work 40 hours per pay period while attending school earning $12.50 an hour. There are two pay periods per month. NOW Assume you have deductions for health care of $25 per pay period and 401K deduction of $50 per pay period. These deductions are pretax.
Gross Pay per pay period: $
Taxable Income per pay period:
You pay 11% in federal taxes. Federal tax withholding per pay period: $
Use the state tax rates below and calculate State tax withholding per pay period: $
(round to two decimals)
-- from image...
Calculate FICA withholding per pay period: $
Calculate Medicare withholding per pay period: $
(round to two decimals)
What is your Net pay per pay period: $
(round to two decimals)
Answer:
Step-by-step explanation:
yes
The gross pay, taxable income, withholding taxes, and net pay can be computed as follows:
a) The gross pay per pay period = $500
b) Taxable income per pay period = $425
c) Federal tax withholding per pay period = $46.75
d) FICA withholding per pay period = $26.35
e) Medicare withholding per pay period = $6.16
f) State tax wtihholding per pay period = $10
g) Net pay per pay period = $335.74
How the gross earnings, net pay, taxable income, and withholdings are computed:The number of hours per pay period = 40 hours
The number of pay periods in a month = 2
The total number of hours worked per month = 80 hours (40 x 2)
Earnings per hour = $12.50
a) The gross pay per pay period = $500 (40 x $12.50)
Deductions per pay period:
Health care = $25
401k = $50
The gross pay per pay period = $500
Total deductions per pay period = $75
b) Taxable income per pay period = $425 ($500 - $75)
c) Federal tax withholding per pay period = $46.75 ($425 x 11%)
d) FICA withholding per pay period = $26.35 ($425 x 6.2%)
e) Medicare withholding per pay period = $6.16 ($425 x 1.45%)
f) State tax wtihholding per pay period = $10 ($500 x 2%)
Total withholding taxes = $89.26
g) Net pay per pay period = $335.74 ($425 - $89.26)
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3 x +14 (3x-4) +3 x ( 6) +3 (х+2 )=4
The value of 'x' from the expression is 9/ 11
How to simplify the expressionGiven the expression;
3 x +14 (3x-4) +3 x ( 6) +3 (х+2 )=4
First, we expand the bracket
3x + 42x - 56 + 18x + 3x + 6 = 4
collect like terms
3x + 42x + 18x + 3x - 56 + 6 = 4
Add up like terms
66x - 50 = 4
66x = 4 + 50
66x = 54
Make 'x' the subject of formula
x = 54/ 66
x = 9/ 11
Thus, the value of 'x' from the expression is 9/ 11
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f(x) = 2x^2 - x -10
What are the x-intercepts of the graph of f(x)? Show your work
Answer:
[tex](-2,0) \textsf{ and }\left(\dfrac{5}{2},0\right)[/tex]
Step-by-step explanation:
Given quadratic function:
[tex]f(x)=2x^2-x-10[/tex]
The x-intercepts of the graph are the points at which the curve crosses the x-axis, so when f(x) = 0.
To find these points, factor the quadratic equation, set it to zero, then solve for x.
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to ac and sum to b.
[tex]\implies ac=2 \cdot -10 = -20[/tex]
[tex]\implies b=-1[/tex]
Therefore, the two numbers are -5 and 4.
Rewrite the middle term as the sum of these two numbers:
[tex]\implies 2x^2-5x+4x-10[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies x(2x-5)+2(2x-5)[/tex]
Factor out the common term (2x - 5):
[tex]\implies (x+2)(2x-5)[/tex]
Set the factored function to zero:
[tex]\implies (x+2)(2x-5)=0[/tex]
Apply the zero-product property:
[tex]\implies (x+2)=0 \implies x=-2[/tex]
[tex]\implies (2x-5)=0 \implies x=\dfrac{5}{2}[/tex]
Therefore, the x-intercepts of the graph are:
[tex](-2,0) \textsf{ and }\left(\dfrac{5}{2},0\right)[/tex]
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PLEASE ANSWER ASAP! Tysm in advance
Answer:
Step-by-step explanation:
8 adults means 48 children
11 adults means 66 children
15 adults means 120 children
Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415.
The interest due on financing option is $307.50
What is interest on financing?
Interest on financing is the extra amount paid by the couple when their total payments are compared to the cash price of $6,230.
The total payments would be the 25% down payment plus the sum of the twelve monthly payments of $415 each
Down payment=cash price*25%
Down payment=$6230*25%
Down payment=$1,557.50
Total monthly payments=amount of each monthly payment*number of monthly payments
monthly payment=$415
number of monthly payments=12
Total monthly payments=$415*12
Total monthly payments=$4,980
Total payment under financing=Down payment +Total monthly payments
Total payment under financing=$1,557.50+$4,980
Total payment under financing=$6,537.50
Interest=$6,537.50-$6,230
Interest on financing=$307.50
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Complete question:
Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415. How much interest did they pay due to financing?
Add using fraction strip. 1/2 + 5/2
Answer:
3
Step-by-step explanation:
First we look at our problem 1/2 + 5/2. We can see our denominator is the same so we can add our numerators. 1/2 + 5/2 equals 6/2 = 3.
Answer:
If you add this fraction in fraction strip instead of equivalent fraction method
Step-by-step explanation:
firstly draw 5 1/2 fraction strip
then draw 12 1/4 fraction strip
we taking 1/4 bcoz 1/4 is multiple of 1/2, under 1/2 there is 2 1/4.
The end product will be 12/4
cancel out it 12/4 by 2 ans = 6/2 still we can cancel so cancel out 6/2 by 2 at the end ans will be 3/1 = 3
if you think it wrong then use the equivalent fraction method to see the answer..
1/2 + 5/2
denominators are same so we will take only one denominator and will directly add the numerators
1 + 5 = 6 so
6/2 cancel it the ans will be 3/1 and it's equal to 3.
Rewrite the quadratic function in vertex form (which is also called a standard form) and give the vertex.
f(x)=x^2-3x
f(x)=
Enter your answer as a point (a,b)
Vertex:
Please explain how you arrived at that answer.
The vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5
How to rewrite the quadratic function?The quadratic function is given as:
f(x) = x^2 - 3x
Differentiate the function
f'(x) = 2x - 3
Set the function to 0
2x - 3 = 0
Add 3 to both sides
2x = 3
Divide by 2
x = 3/2
Set x = 3/2 in f(x) = x^2 - 3x
f(x) = 3/2^2 - 3 * 3/2
Evaluate
f(x) = -9/5
So, we have:
(x, f(x)) = (3/2, -9/5)
The above represents the vertex of the quadratic function.
This is properly written as:
(h, k) = (3/2, -9/5)
The vertex form of a quadratic function is
f(x) = a(x - h)^2 + k
So, we have:
f(x) = a(x - 3/2)^2 - 9/5
In f(x) = x^2 - 3x,
a = 1
So, we have:
f(x) = (x - 3/2)^2 - 9/5
Hence, the vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5
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If the scale factor between two circles is 2x/5y, what is the ratio of their areas?
Given that the length ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).
What is the area ratio of two circles?According to the statement we know that the radius ratio between two circles. Given that the area of the circle is directly proportional to the square of its radius, then the area ratio is shown below:
A ∝ r²
A = k · r²
A' · r² = A · r'²
A' / A = r'² / r²
A' / A = (r' / r)²
A' / A = [(2 · x) / (5 · y)]²
A' / A = (4 · x²) / (25 · y²)
Given that the length ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).
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Which equation represents a parabola with a vertex at (7,-3)
Answer:
See Below
Step-by-step explanation:
y = a (x-7)^2 -3 where 'a' is any number except 0
polygon h is a scaled factor of polygon g using a scale factor of 1/4
The fraction of the area of polygon H of polygon G's area would be: 1/16.
What are Similar Polygons?When a polygon is formed by enlarging or reducing an original polygon by a scale factor, the new polygon formed is similar to the original polygon.
What is a Scale Factor?The scale factor = new dimension/original dimension
Given that polygon H is the new polygon formed when polygon G is reduced by a scale factor of 1/4, thus, we would have the following:
Area of polygon H/Area of polygon G = square of the side of polygon H/square of the side of polygon G = square of the scale factor of dilation
Area of polygon H/Area of polygon G = 1²/4² = 1/16
This implies that the area of polygon G is 16 units² while the area of polygon H is 1 units².
Thus, the fraction of the area of polygon H of polygon G's area would be: 1/16.
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Glynn's car has a 18 gallon gas tank. He travels 450 miles. What is the least miles per gallon this trip? Write and solve an inequality to answer the question.
The least miles per gallon this trip is 25 miles per gallon
How to determine the least miles per gallon?The given parameters are:
Distance = 450 miles
Tank size = 18 gallons
The least miles per gallon this trip is calculated as:
Miles per gallon = Distance/Tank size
This gives
Miles per gallon = 450/18
Evaluate the quotient
Miles per gallon =25
Represent as an inequality
x >= 25
Hence, the least miles per gallon this trip is 25 miles per gallon
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What is the range for the possible sizes of x?
(Fill in the boxes)
Answer:
1.6 and 9.6
Step-by-step explanation:
the five-number summary calculated in part C to create a box plot representing the data. Draw a box plot representing the following data. Be sure to mark the outlier. 10 13 15 12 12 4 12 17 12 13 15 18 10 11 20 19 Lines Shapes Fill: Line: Width: 2 pt
The five-number summary is:
Minimum: 4
Quartile Q1: 11.25
Median: 12.5
Quartile Q3: 16.5
Maximum: 20
The box plot is attached below.
What is the Five-number Summary?The five-number summary of a data that is displayed on a box plot include: minimum and maximum values, lower and upper quartiles, and the median.
Given the data, 10, 13, 15, 12, 12, 4, 12, 17, 12, 13, 15, 18, 10, 11, 20, 19, the five-number summary is:
Minimum: 4
Quartile Q1: 11.25
Median: 12.5
Quartile Q3: 16.5
Maximum: 20
There are no outliers. Thus, the box plot that represents the five-number summary is shown in the image attached below.
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Answer: it is correct i got it from edmentum
Step-by-step explanation:
