Answers
The answers are :
1. a) 10^-5 relates to the hundred-thousandths place. The number 3 will be in the hundred thousandths place followed by 0 which is in ten thousands place. The places before 3 will each hold digit 0.
b) The standard form will be 0.000032.
2. The standard form will be 0.000007
3. The standard form will be 0.0000875
What is the standard form ?
Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
It is given that the number is 3.2 × 10^-5.
Let's simplify it. So , we get ;
= [tex]\frac{3.2}{10^5}[/tex]
= [tex]\frac{3.2}{100000}[/tex]
= 0.000032
1.
a)
10^-5 in standard form will be :
= 0.00001
So , we can conclude that 10^-5 relates to the hundred-thousandths place.
When we write 3.2 × 10^-5 in the standard form it will be equal to 0.000032.
The number 3 will be in the hundred thousandths place followed by 0 which is in ten thousandths place.
The places before 3 will each hold digit 0.
b)
The standard form of 3.2 × 10^-5 will be 0.000032.
2.
Diameter of an atom in gold is about 7 × 10 ^-6.
Let's express this to standard form.
So ,
7 × 10 ^-6
= [tex]\frac{7}{10^6}[/tex]
= [tex]\frac{7}{1000000}[/tex]
= 0.000007
3.
Average mass of one flea which is 8.75 × 10^-5. Let's represent this in standard form :
8.75 × 10^-5
= [tex]\frac{8.75}{100000}[/tex]
= 0.0000875
Therefore , the answers are :
1.
a) 10^-5 relates to the hundred-thousands place. The number 3 will be in the hundred thousands place followed by 0 which is in ten thousands place. The places before 3 will each hold digit 0.
b) The standard form will be 0.000032.
2. The standard form will be 0.000007
3. The standard form will be 0.0000875
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Related Questions
Find the perimeter of the following polygon. Be sure to include the correct unit in your answer.
Answers
Answer:
38 yd
Step-by-step explanation:
Definition:
the perimeter of a polygon is equal to the sum of all sides’ lengths.
Let P be the perimeter.
Then
P = 8 + 9 + 5 + 7 + 9 = 38
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,7) and perpendicular to 2x+7y=1.
Answers
The line in standard notation is 2y - 7x = 7 and in slope-intercept form it is:
y = (7/2)*x + 7/2
How to find the linear equation?We want our line to be perpendicular to 2x + 7y = 1
Rewriting that line, we get:
y = (1 - 2x)/7 = 1/7 - (2/7)*x
So the slope is (-2/7), then the slope of a perpendicular line is 7/2.
So our equation is something like:
y = (7/2)*x + b
To find the value of b we replace the values of the point (1, 7), it gives:
7 = (7/2)*1 + b
7 = 7/2 + b
7 - 7/2 = b
7/2 = b
Then the linear equation in slope-intercept is:
y = (7/2)*x + 7/2
And the standard form is:
y - (7/2)*x = 7/2
2y - 7x = 7
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A company sells Apple, Cherry, and Walnut
Mix. The ingredients are listed below for one
batch. They make large batches in order to
fill 250 bags. Determine how many pounds of
each ingredient should be used to make a
large batch. Decide how much the company
should charge for each bag of Apple, Cherry
and Walnut Mix, and explain how you made
your decision.
Apple, Cherry and Walnut Mix Recipe
3/4 pounds of dried apples
½ pounds of dried cherries.
½ pound of walnuts
Prices
dried apples: $2.80 per pound
dried cherries: $4.48 per pounds
walnuts: $3.96 per pound
Answers
Answer:
Step-by-step explanation:
1/4 of all of it
Will mark brainliest 20 points
Answers
Answer:
see image
Step-by-step explanation:
Use distributive property to multiply.
Multiply the numbers together. To multiply variables, add the exponents (for same variables, x's and x's, also y's and y's)
Keep the minus sign and the plus sign in place. See image.
Need Help
Apples cost $2/lb but 15 apples cost $4. How many pounds does an apple weigh?
A 2/15
B 15/2
C 1/15
D 1/30
E 15
Answers
Well, you start out by recognizing that 4/5ths of an ounce equals 1/5 of the apples weight. Therefore, you must multiply 4/5 by 5 to get the whole of the Apple. (1/5*5).
So, this is the lines,
4/5*5= 20/5, or 4 ounce
Another way, is with decimals, so
0.8*5=4.0
Please answer, will give brainliest to accurate answer.
-1 + 9y > -73 and y-4/-3 < 2
Answers
Answer:
Step-by-step explanation:
Rewrite
y − 4 − 3 >. y − 4 (−3>)
LESSON 7.4
THERE ARE 4 DIFFERENT QUESTIONS PLEASE ANSWER ALL 4 TO GET THE POINTS THANK YOU
1. Find the value of the trig function indicated.
Answers
For the given right triangle, the tangent of theta is equal to 4/3 so the correct option is D.
How to find the value of the trigonometric function indicated?
Here we have a right triangle, and we want to find the tangent of one shown angle.
Remember that the trigonometric relation for a tangent is:
tan(a) =(opposite cathetus)/(adjacent cathetus).
On the image, we can see that the adjacent cathetus to the given angle has a measure of 6 units, while the opposite cathetus has a measure of 8 units, then we can replace that in the general relation to write:
tan(θ) = 8/6
Now we just can simplify that fraction if we divide both numerator and denominator by 2, we will get:
tan(θ) = 8/6 = 4/3
Then we conclude that the correct option is D.
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Mrs. McMinn loves Vanilla Coke. It has been difficult to find in stores but now she is at HEB and sees a full shelf of Vanilla Coke drinks! Every 12-pack of Vanilla Coke is $7. She also remembered she has to get a roll of paper towels, which is $2. Which equation best represents her total cost (y) after purchasing Vanilla Coke 12-packs (x)?
Answers
Her total cost after purchasing 12x packs of Vanilla Coke is given by the following linear function:
y = 2 + 7x.
What is a linear function?A linear function is modeled according to the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change of the function, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For this problem, we have that:
The cost of the paper towel is constant, of $2, and only one is bought, hence the intercept is of b = 2.Each 12-pack of Vanilla Coke costs $7, hence the slope is of m = 7.Hence her total cost after purchasing 12x packs of Vanilla Coke is given by the following linear function:
y = 2 + 7x.
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Write the number 13 ones 2 hundreds 7tens
Answers
Answer:
283
Step-by-step explanation:
Solve the problem.
Suppose a necklace is made from 18-karat gold and weighs 54 grams. Find the weight, in grams, of the pure gold in the necklace.
Select one:
A.
54 grams
B.
40.5 grams
C.
6 grams
D.
18 grams
Answers
Based on the karats on the gold necklace, the weight in grams of the pure gold in the necklace is B. 40.5 grams
What is the amount of pure gold in 18 karats?When something is said to be 18 karats of gold, it means that there is about 75% pure gold and then 25% of other materials.
If the necklace has 75% gold, the pure gold in grams is:
= 75% x 54
= 40.5 grams
In conclusion, the pure gold weighs 40.5 grams.
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Jean loans Bernie $1500. Bernie agrees to pay Jean an extra $225
when he repays the loan in one year. What is the annual simple interest rate
of the loan?
Answers
The annual simple interest rate of the loan is 15% on the premise that Jean would $225 extra after 1 year
How is simple interest determined?
The simple interest whose dollar is $225 on the loan is the principal of $1500 multiplied by the interest rate which is unknown, can be assumed to be R, multiplied as well as the period of loan, I mean how long it takes for the loan to be repaid, which is one year as indicated by the below simple interest rate formula:
I=PRT
I=interest amount in dollars=$225
P=loan amount=$1,500
R=interest rate=unknown
T=period of loan=1 year
$225=$1500*R*1
$225=$1500*R
R=$225/$1500
R=15.00%
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2-7
please geometry chapter 1
Answers
The values of the indicated lengths.
We are given a number line with points A, B, C, D and E on it.
We need to find the lengths of:
DE
AB
AC
BD
CE
BE
Now, we are also given that:
AD = 18 units
AE = 27 units
DE = 27 - 18 = 9 units
AB = 18 / 3 = 6 units ( As AB = BC = CD)
AC = 12 units ( as AB + BC)
BD = 12 units
CE = 6 + 9 = 15 units
BE = 15 + 6 = 21 units.
Therefore, we get the values of the indicated lengths.
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The table below shows an income tax schedule, expressed in nominal terms, for the year 2014.
Answers
Using proportions, it is found that the inflation rate was of 5.7%.
The inputs to the table will be given as follows:
21,140.21,141 to 31,710.31,711 to 52,850.52,851 to 84,560.84,560What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The inflation rate is found by the proportion of the 2016 CPI to the 2014 CPI, hence:
185/175 - 1 = 1.057 - 1 = 0.057.
The inflation rate was of 5.7%.
To find the amounts that complete each table, we have to find the 2014 table, and multiply the amounts by 1.057, hence:
20000 x 1.057 = 21,140.30000 x 1.057 = 31,710.50000 x 1.057 = 52,850.80000 x 1.057 = 84,560.More can be learned about proportions at https://brainly.com/question/24372153
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find the slope of the line through (0,20) and (4,36)
Answers
Answer:
4
Step-by-step explanation:
Slope formula: y2 - y1/ x2 - x1 (this means the second y minus the first 1 divided by the second x minus the first x)
36 - 20 = 16
4 - 0 = 4
16/4 = 4
The slope of the line is 4
HELP PLS ASAP I DONT WANT TO FAIL THIS ASSIGMENT
Answers
Answer:
Step-by-step explanation:
3rd one
may anyone help me with these
Answers
Step-by-step explanation:
we have 3 gears meshed with the following teeth . A-20 , B -50 , C -30 . another set of gears have the following teeth . X -20 , y- 25 , Z -30 . Assuming gears A and X are Running at the same rpm . which statement is correct ?
PLEASE HELP GIVING BRAINLIEAST
Answers
Answer:
Important Ideas:
Led American troops in War
Led Constitutional Convention
Served as first US President
Minor Details:
Had a $25,000 yearly salary
Had problems with teeth
Had a brother named Lawrence
Ian's math teacher finds that there's roughly a linear relationship between the
amount of time students spend on their homework and their weekly quiz scores. This
relationship can be represented by the equation y = 60+ 6.9x, where y represents
the expected quiz score and a represents hours spent on homework that week. What
is the meaning of the x-value when y = 83?
Answers
If Ian wants to get an expected quiz score of 83, then he needs to spend 3.33 hours in homework that week.
What is the meaning of the x-value when y = 83?We know that the situation is modeled by the linear equation:
y = 60+ 6.9x
Where y represents the expected quiz score and x the hours spend on homework that week.
If we define y = 83, the value of x will be the number of hours that the students need to do homework such tath the expected quiz score is 83.
Solving the linear equation:
83 = 60 + 6.9*x
(83 - 60)/6.9 = x
23/6.9 = x
3.33 = x
So to get an expected quiz score of 83, they need to spend 3.33 hours in homework that week.
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Answer: The number of hours a student should spend on their homework to expect a score of 83 on the quiz.
Step-by-step explanation: just did it!
please explain as much as you can.
Answers
Step-by-step explanation:
remember : to convert a fraction of one denominator into a fraction of another denominator, we need to multiply both (numerator and denominator) by the same factor, so that the denominator changes to the desired number, and the overall value of the fraction remains unchanged.
4 1/3 - 8
first I convert the mixed number into a full fraction :
4 1/3 = (4×3 + 1)/3 = 13/3
then, to be able to subtract 8, I need to convert 8 into a fraction with the same denominator as 13/3 :
8 = (8×3)/3 = 24/3
so, now I can do the subtraction :
13/3 - 24/3 = -11/3
-11/3 = -3 remainder 2 = -(3×3 + 2)/3 = -3 2/3
5 2/5 - (-2 4/15)
again, we convert all mixed numbers into full fractions :
5 2/5 = (5×5 + 2)/5 = 27/5
2 4/15 = (2×15 + 4)/15 = 34/15
now we need to bring both to the same denominator, and because 5 is a factor or 15, we can bring both to fractions of 1/15, for which we only need to transform the first fraction :
27/5 = 27/5 × 3/3 = 81/15
so, the subtraction is actually
81/15 - (-34/15) = 81/15 + 34/15 = 115/15 = 23/3
23/3 = 7 remainder 2 = (7×3 +2)/3 = 7 2/3
what is -5/12 x 8/13 in simplist form
Answers
Answer:
-0.25641025641
Step-by-step explanation:
I need help with these math problems
Answers
Using proportions, it is found that:
3. Due to the lower cost per pound, the twelve-pack is the better value.
4. Due to the lower cost per cup, the Pacific Coast Coffee is the better value.
5. Lettuce and Asparagus cost the same per pound.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For item 3, the cost per pound is the proportion of the cost by the weight, hence:
6 pack: 1.75/6 = $0.292 per pound.12 pack: 3/12 = $0.25 per pound.Due to the lower cost per pound, the twelve-pack is the better value.
For item 4, we follow the same procedure, hence:
Pacific: 12.88/80 = $0.161 per cup.Down South: 9/50 = $0.18 per cup.Due to the lower cost per cup, the Pacific Coast Coffee is the better value.
In item 5, we have that:
Lettuce: 8.75/3.5 = $2.5 per pound.Snap Peas: 11.25/3 = $3.75 per pound.Asparagus: 6.25/2.5 = $2.5 per pound.Lettuce and Asparagus cost the same per pound.
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Find the domain of the function. f(x)=2/9x+4 Write in interval notation.
Answers
Answer: [tex](-\infty, \infty)[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2}{9}x+4[/tex] has a domain of all real numbers since it is a polynomial function.
Solve the inequality.
-3s+7 ≤ 8 or -2s+4212
Answers
The solution for given inequality is s ≥ -1/3 or s ≤ -4
What is an inequality ?In mathematics, an inequality can be taken as a relation which makes a comparison which is non-equal between two specific numbers or the variables or other mathematical symbols and expressions. It is used mostly when we have to compare two numbers by their size on the number line.
The are various operators which are used while showing the inequality such as the signs of greater than (>) , less than (<), greater than or equals to (≥) , and less than or equals to (≤).
In the given question the inequality is:
-3s+7 ≤ 8 or -2s+4 ≥ 12
solving the equations
=> -3s ≤ 8-7 or -2s ≥ 12-4
=> -3s≤ 1 or -2s ≥ 8
=> -s ≤ 1/3 or -s ≥ 4
=> s ≥ -1/3 or s ≤ -4.
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The complete question is:
Solve the given inequality.
-3s+7 ≤ 8 or -2s+4 ≥ 12
Write the quadratic equation whose roots are −2 and −6, and whose leading coefficient is 3.
Answers
Answer:
3x² + 24x + 36 = 0
Step-by-step explanation:
A quadratic equation has the standard form ax² + bx + c = 0.
a, b and c are constants.
The roots of a quadratic equation represent the two solutions to the quadratic equation
Given that the roots are -2 and -6 we have
x = -2 and x = -6 as the solutions
Add 2 to both sides of x = -2 ==> x + 2 = 0
Add 6 to both sides of x = -6 ==> x + 6= 0
So (x+2)(x+6) = 0 is the factored representation of this equation. We have to multiply by a leading coefficient of 3
So the quadratic equation is
3(x+2)(x+6) = 0
Using the FOIL method
(x + 2)(x + 6) = x² + 6x + 2x + 12 = x² + 8x + 12
The leading coefficient is the coefficient of x² and is given as 3
So the quadratic equation in standard form is
3(x² + 8x + 12) = 0
==> 3x² + 24x + 36 = 0
If you solve this equation on a quadratic equation calculator you will get the solutions x = -2 and x=-6
the bottom of a rectangular swimming pool is 23 meters wide and 29 meters long. What is its perimeter
Answers
Answer:
104m
Step-by-step explanation:
23+23+29+29=104m
Classify angle 5
Please help me
Answers
Answer:
It is an acute angle
Step-by-step explanation:
You can tell by looking at it that it is less than 90 degrees, making it an acute angle.
Solve the following inequality for m.
−15+ 6 |2m − 1| < 3
A<m<B
A=
B=
Answers
The solution for the inequality is given by: -1 < m < 2 .
In mathematics, an inequality is a link that compares two numbers or other mathematical expressions unfairly. Size comparisons between two numbers are commonly made on the number line. Various types of inequalities can be represented using various notations, such as:
a is smaller than b, as shown by the symbol a<b.
When the expression a > b is employed, it means that an is larger than b.
In no circumstance is a the same as b. These relationships are referred to as strict inequalities since a is strictly less than or strictly greater than b. Equivalence isn't taken into account.
The given inequality is of the form:
−15+ 6 |2m − 1| < 3
Now let us solve the inequality :
or , 6 |2m − 1| < 3 + 15
or , 6 |2m − 1| < 18
or, |2m − 1| < 3
or, -3 < 2m-1 < 3
or, -3+1 < 2m < 3 + 1
or, -2 < 2m < 4
or, -1 < m < 2
Hence the solution of the inequality is -1 < m < 2 .
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Berno deposits $30,000 into an account paying 3.25% annual interest,
compounded quarterly. How much will be in the account after fifteen years?
Answers
Based on the amount deposited by Berno and the annual interest on the account, the amount in the account after fifteen years is $49,012.91.
How to find the deposited amount?The interest is said to compound quarterly which means that the periodic interest rate is:
= 3.25% / 4
= 0.8125%
The number of periods is:
= 15 x 4
= 60 quarters
The amount in the account after 15 years is:
= 30,000 x (1 + rate) ^ number of periods
= 30,000 x (1 + 0.8215%)⁶⁰
= $49,012.91
In conclusion, the amount in the account after 15 years would be $49,012.91.
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ffewessdt whats aowpwbe be du
Answers
Answer: I'm assuming you want our favorite so shaggy
Step-by-step explanation:
Karen Gaines invested $11,000 in a money market account with an interest rate of 3.32% compounded semiannually.Seven years later,Karen withdrew the full amount to put toward the down payment on a new house.how much did Karen withdraw from the account
Answers
We get that, the amount that Karen can withdraw after 7 years will be $ 17376.98 compounded semi annually with interest rate of 3.32 %.
We are given that:
Principal amount = $ 11,000
Interest rate = 3.32 % compounded semi annually.
Time period = 7 years
t = 7 × 2 = 14 times
Amount = 11,000 ( 1 + 3.32 / 100 )¹⁴
Amount = 11,000 (1.0332)¹⁴
Amount = 11,000 ( 1.57973)
Amount = 17376.98
The amount will become = $ 17376.98 that Karen will withdrew for the down payment on a new house.
Therefore, we get that, the amount that Karen can withdraw after 7 years will be $ 17376.98 compounded semi annually with interest rate of 3.32 %.
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