evaluate. express each result in scientific and standard rotation. please help!
Answers
The simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²
What is Expression?An expression is a combination of variable, numbers and operators.
The given expression is
(5×10⁻²)(2.3×10¹²)
Use the distributive property
(5×2.3)(10⁻²×10¹²)
The powers with same base will be added
11.5×10⁻²⁺¹²
11.5×10¹⁰
23) (3.9×10³)(4.2×10⁻¹¹)
(3.9×4.2)(10³×10⁻¹¹)
The powers with same base will be added
16.385×10⁻⁸
25) 3.12×10³/1.56×10⁻³
The sign of power of denominator changes to opposite sign when it shifted to numerator.
4.8672×10³⁺³
4.8672×10⁶
(28) 1.82×10⁵/9.1×10⁷
0.2×10⁵⁻⁷
The sign of power of denominator changes to opposite sign when it shifted to numerator.
0.2×10⁻²
Hence the simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²
To learn more on expressions click:
https://brainly.com/question/14083225
#SPJ1
Related Questions
d. How tall would the building be if it had 15 floors?
and the building has 9 floors
Answers
Answer: 300 feet
Step-by-step explanation:
you see according too my outstanding intelligence its 300 due to me owning the building
Step-by-step explanation:
how tall is the building with 9 floors now ?
or how high or tall is ombre floor ?
you left out crucial information.
I can give you only a relative answer assuming that the autumnal floors would have the same heir as the existing ones :
the existing building with 9 floors has a ratio of 9/9 floors, so it's size is 9/9 = 1/1 to its current size.
the extended building with 15 floors would have a size of 15/9 = 5/3 times its current size.
A school surveys all 7th grade boys to determine what to seek in the school store this sample is
Answers
Answer: Biased
Step-by-step explanation:
It is biased because this survey is based off of opinions, of the 7th grade boys.
Right triangle △PQR is shown on the coordinate plane below. ∠R is the right angle.
What is the area of △PQR? If necessary, round your answer to the nearest tenth.
Answers
The Right angled triangle △PQR, with the right angle at R, as plotted in the cartesian plane attached thereby along with the question statement, has an area of 25 sq. units.
As per the question statement and the graph attached alongside, a right angled triangle △PQR, with the right angle at R is plotted.
We are required to calculate the area of the above mentioned triangle.
To solve this question, first we will need to identify the coordinates of the vertices of PQR, which can be easily done by observing the plotted PQR in the reference attachment. Since R is the right angle, PR is the perpendicular or altitude for the △PQR while QR is it's base. Then, using the distance formula, we will calculate the lengths of PR and QR, and then apply these length magnitudes into the formula to calculate the area of a triangle which goes as [(1/2) * (base) * (altitude)].
Also, we need to know the distance formula which goes as,
"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by
√[(x₂ - x₁)² + (y₂ - y₁)²]"
From the plotted graph, we observe the coordinates of P as (-6, 9), Q as (-1, -1) and R as (-9, 5).
Now substituting the coordinates of P and R in the above mentioned distance formula, we get
PR = √[{(-9) - (-6)}² + (5 - 9)²]
Or, PQ = √[{(-9) + 6}² + (-4)²]
Or, PQ = √[(6 - 9)² + 16]
Or, PQ = √[(-3)² + 16]
Or, PQ = √(9 + 16)
OR, PQ = √25
Or, PQ = 5 units.
Similarly, substituting the coordinates of Q and R in the above mentioned distance formula, we get
QR = √[{(-9) - (-1)}² + {5 - (-1)}²]
Or, QR = √[{(-9) + 1}² + (5 + 1)²]
Or, QR = √[(1 - 9)² + (6)²]
Or, QR = √[(-8)² + 36]
Or, QR = √(64 + 36)
OR, QR = √100
Or, QR = 10 units.
Therefore, Area of our concerned triangle PQR
= [(1/2) * 10 * 5] = [(10/2) * 5 = (5 * 5) = 25 sq. units.
Triangle: In Mathematics, geometry and day-to-day life, any three-sided, closed polygon is known as a triangle.Right angle: An angle measuring 90° is known as a right angle.To learn more about Right-angled Triangles, click on the link below.
https://brainly.com/question/22548775
#SPJ1
what is 121 divided by 12.75
Answers
Answer:
9.49
Step-by-step explanation:
this is the answer hope it helps
Shift both decimals of both 121 and 12.75 to the right by two decimal places.
This is needed to convert 12.75 —-> 1275, since long division was divide by a whole number.
Using the algorithm method, the answer is 9.49016
Dean spent one fifth of the amount of money in his wallet and then one fifth of what remained. He spent a total of £72. Find the amount of money in his wallet to start with.
Answers
Proportionately, the amount of money in Dean's wallet from the beginning was £90.
What is a proportion?A proportion is the portion of a variable contained in another variable.
Proportions are like ratios; they show the fractional part taken away from a whole number or value.
Proportions are stated as fractions, decimals, or percentages.
The first amount spent from his wallet = 2/5
The next amount spent from his wallet = 2/5
The sum of the fractional spending = 4/5 (2/5 + 2/5)
The total amount spent = £72
Let 4/5 = £72
The total money in his wallet = £90 (£72 ÷ 4/5)
Thus, since Dean had spent 4/5, which equals £72, proportionately, he had £90 to start with.
Learn more about proportions at brainly.com/question/1496357
#SPJ1
Let's Try it out (2 Steps)The population of a once very popular city of 250,000people has been decreasing by 3.5% each year,Write an exponential decay function that represents thepopulation after t years,y = a[1 – r)'250,000(1 - 3.5)Simplify!250,000(.035)Use your model to approximate what the population willbe 7 years from now.*Round answer to the nearest WHOLE number
Answers
The population at the onset as 250,000. There has been a 3.5% decrease every year.
The exponential decay function therefore is;
[tex]\begin{gathered} y=a(1-r)^t \\ a=250000,r=0.035,t=\text{time in years} \end{gathered}[/tex]Hence, to approximate what the population would be 7 years from now;
[tex]\begin{gathered} y=a(1-r)^t \\ y=250000(1-0.035)^7 \\ y=250000(0.965)^7 \\ y=250000\times0.779275\ldots \\ y=194818.9516 \\ y\approx194819\text{ (to the nearest whole number)} \end{gathered}[/tex]The population after 7 years shall be 194,819 people (rounded to the nearest whole number).
Please answer I will give 50 points
Answers
Answer:
2/3
Step-by-step explanation:
2/3 is equivalent to 10/15
A group of 150 adults were asked whether they exercise and whether they are vegetarian. Their responses are summarized in the following table.
Answers
a). The percentage of adults that exercise is 42%
b). Percentage of adults are vegetarian is 40%
c). percentage of adults who are vegetarian and exercise is 26%
d). No, because the percentage found in part c is about the same as part b.
What is percentage?Percentage is a number or ratio that can be expressed as a fraction of 100.
According to data, total number of adults = 150
No. of vegetarian who exercise = 39
no. of non vegetarian who exercise = 24
No of vegetarian who don't exercise = 21
a). percentage of adults exercise = 39+24/150×100
=42%
similarly b) percentage adults are vegetarian = 39+21/150×100
= 40%
c) percentage of adults who are vegetarian exercise = 39/150×100
= 26%
To know more about percentage, visit:
https://brainly.com/question/26352729
#SPJ13
Mobius math
PLS, I need it!!!
Answers
Using angle relationships we have:
1. 18x = 180; x = 10
14x = 140°
4x = 40°
2. 7x + 40 = 180; x = 20
4x + 30 = 110°
3x + 10 = 70°
3. 4x + 80 = 180; x = 25
2x + 80 = 130°
2x = 50°
4. 7x + 5 = 180; x = 25
6x = 150°
x + 5 = 30°
How to Apply Angle Relationship?In order to determine the value of x and find the missing angle measures, we must use the appropriate angle relationship to create an equation to solve for x.
1. 4x + 14x = 180 [the angle relationship is that they are supplementary angles and therefore have a sum of 180 degrees.]
18x = 180
18x/18 = 180/18
x = 10
Plug in the value of x
14x = 14(10) = 140°
4x = 4(10) = 40°
2. 3x + 10 + 4x + 30 = 180 [supplementary angles]
7x + 40 = 180
7x = 180 - 40
7x = 140
7x/7 = 140/7
x = 20
Plug in the value of x
4x + 30 = 4(20) + 30 = 110°
3x + 10 = 3(20) + 10 = 70°
3. 2x + 2x + 80 = 180 [the angle relationship is supplementary]
4x + 80 = 180
4x = 180 - 80
4x = 100
4x/4 = 100/4
x = 25
2x + 80 = 2(25) + 80 = 130°
2x = 2(25) = 50°
4. 6x + x + 5 = 180 [the angle relationship is supplementary]
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25
6x = 6(25) = 150°
x + 5 = 25 + 5 = 30°
Learn more about angle relationships on:
https://brainly.com/question/12591450
#SPJ1
What is the equivalent expression of 4.32÷0.16?
Answers
The equivalent expression of 4.32÷0.16 is 0.27.
What are equivalent expressions?Equivalent expressions are expressions that perform the same function notwithstanding their appearance. In mathematics, equivalent expressions are expressions that are the same even if they appear to be different. When the values are entered into the expression, however, both formulations produce the same result. If the terms in both expressions are identical, the expressions are equal.Given:
Expression = 4.32÷0.16
We have to determine the equivalent expression of 4.32÷0.16.
4.32÷0.16 (multiply both the terms by 100 to remove decimals)
432 ÷ 16
= 0.27
Therefore, the required equivalent expression is 0.27 respectively.
To learn more about equivalent expressions visit:
https://brainly.com/question/28170201
#SPJ13
Can you answer this? ASAP
Answers
Answer:
h = 5m
Step-by-step explanation:
A = 1/2bh
15 = 1/2(6)h
15 = 3h
h = 5
Solve for x with zero product propertyX^2 + 4x -27 = 5
Answers
Answer
[tex]\begin{gathered} Given\text{ }x^2+4x-27=5 \\ x^2+4x-27-5=5-5 \\ x^2+4x-32=0 \end{gathered}[/tex]Using factorization method
[tex]\begin{gathered} x^2+8x-4x-32=0 \\ x(x+8)-4(x+8)=0 \\ (x+8)(x-4)=0 \end{gathered}[/tex][tex]\begin{gathered} x+8=0\text{ }or\text{ }x-4=0 \\ x=-8\text{ }or\text{ }x=4 \end{gathered}[/tex]Therefore, x = -8 or x = 4
Simplify the ratio of 4 :12
Answers
the answer Is 1:3
Step-by-step explanation:
reduce 4:12 to the lowest term and you will have 1:3
Rebecca needs 10 1/2 yards of fabric to make a quilt. she has one piece of fabric that is 2 1/2 yards and another piece of fabric that is 4 1/4 yards. how many more yards of fabric does does Rebbeca need to make a quilt
pls put step by step
Answers
The most appropriate choice for fraction will be given by -
Rebeca still needed [tex]3\frac{3}{4}[/tex] yards of fabric to make a quilt.
What is a fraction?
Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.
The upper part of fraction is called numerator and the lower part of fraction is called denominator.
Here,
Length of fabric needed to make a quilt = [tex]10\frac{1}{2}[/tex] yards = [tex]\frac{21}{2}[/tex] yards
Length of one piece of fabric = [tex]2\frac{1}{2}[/tex] yards = [tex]\frac{5}{2}[/tex] yards
Length of another piece of fabric = [tex]4\frac{1}{4}[/tex] yards = [tex]\frac{17}{4}[/tex] yards
Total length of fabric Rebeca has = [tex]\frac{5}{2} + \frac{17}{4}\\[/tex]
= [tex]\frac{10 + 17}{4}\\[/tex]
= [tex]\frac{27}{4}[/tex] yards
Length of Fabric Rebeca still needed to make a quilt = [tex]\frac{21}{2} - \frac{27}{4}\\[/tex]
= [tex]\frac{42 - 27}{4}[/tex]
= [tex]\frac{15}{4}[/tex]
= [tex]3\frac{3}{4}[/tex] yards
To learn more about fraction, refer to the link-
https://brainly.com/question/17220365
#SPJ9
Work out the missing number
a) 0.36 ÷
= 0.09
Answers
Explanation:
0.36 ÷ 0.09 = 4
4 * 0.09 = 0.36
Please help me with this problem!
Answers
The length of the indicated lines segments are as follows:
HI = 10 unitsHJ = 20 unitsHow to find length of a line segment?The line segment is given and we are ask to find the length HI and HJ in the line segment.
Therefore, let's find HI
13.
HI = x - 2
GI = 13
HJ = 2x + 2
GJ = 4x - 19
Hence,
GH = 4x - 19 - (2x + 2)
GH = 13 - (x - 2)
Therefore,
4x - 19 - 2x - 2 = 13 - x + 2
2x - 21 = 15 - x
2x + x = 15 + 21
3x = 36
x = 36 / 3
x = 12
Therefore,
HI = x - 2 = 12 - 2 = 10
12.
Let's find HJ
HJ = x + 30
IJ = 2x + 26
HK = x + 33
IK = 9
Therefore,
JK = x + 33 - (x + 30) = x + 33 - x - 30 = 3
JK = 9 - (2x + 26) = 9 - 2x - 26 = -2x - 17
Therefore,
-2x - 17 = 3
-2x = 3 + 17
-2x = 20
x = 20 / - 2
x = - 10
Therefore,
HJ = -10 + 30 = 20 units
learn more on length here: https://brainly.com/question/12525882
#SPJ1
answer choices are 100, 80, 117, 63.
Answers
Answer:
117
[tex]100[/tex]
by taking the interior angle sum as 360
What is the equation in standard form has a graph that passes through the point (5,-3) and has a slope of 6/5
Answers
Considering the definition of a line, the equation of the line that passes through the point (5, -3) and has a slope of 6/5 is y= 6/5x -9.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Line in this caseIn this case, you know:
The line has a slope of 6/5.The line passes through the point (5, -3).Substituting the value of the slope m, the line has the form: y=6/5x +b
Substituting the value of the point in the previous expression, the value of the ordinate to the origin b can be obtained:
-3= 6/5×5 + b
-3= 6 + b
-3 - 6= b
-9= b
Finally, the equation of the line is y= 6/5x -9.
Learn more about equation of a line:
brainly.com/question/20842634
#SPJ1
What is the value of the angle marked with x?
Answers
Answer:
x = 146°
Step-by-step explanation:
The given shape is a Rhombus. In rhombus, adjacent angles are supplementary.
x + 34 = 180°
Subtract 34 from both sides,
x = 180 - 34
x = 146°
x + 3/4 > - 1/3 Solve the inequality for x.
Simplify your answer as much as possible.
Answers
Answer:
x > -13/12
Step-by-step explanation:
x + 3/4 > - 1/3
x + 9/12 > -4/12
x > -13/12
-1/3 = -4/12
3/4 = 9/12
Answer:
x > - 13
12
Step-by-step explanation:
[tex]x + \frac{3}{4} > - \frac{1}{3} \\ x + \frac{3}{4} - \frac{3}{4} > - \frac{1}{3} - \frac{3}{4} \\ x > \frac{ - 4 - 9}{12} \\ x > - \frac{13}{12} [/tex]
Evaluate the expression.
12−{1+2[−1(3−8)]2}
What is the value of the expression?
Answers
Answer:
13
Step-by-step explanation:
12-{1+2[-1(3-8]2}
12-{1+2[-1-5]2}
12-{1+2[-6]2}
12-{3-4}
12-(-1)
12+1
13
Answer: -39 is the answer
Step-by-step explanation:
You are designing your frozen yogurt at TCBY and want to pick 4 toppings out of 23 different options. How many different combinations of toppings can you make?
Answers
Given Data:
The total number of toppings is: 23
The total number of selection is: 4
The expression to calculate the total number of compinations is,
[tex]\begin{gathered} ^{23}C_4=\frac{23\times22\times21\times20}{4!} \\ =\frac{23\times22\times21\times20}{1\times2\times3\times4} \\ =\frac{212520}{24} \\ =8855 \end{gathered}[/tex]Thus, a total of 8855 numbers of combinations are available.
What % of 55 is 20?
Answers
Answer:
is 11
Step-by-step explanation:
Find the zeros and the multiplicity of:
f(x) = x²(2x + 3)5(x − 4)²
Answers
Given function:
f(x) = x²(2x + 3)⁵(x - 4)²Zero's are:
1.
x² = 0x = 0, multiplicity of 22.
(2x + 3)⁵ = 02x + 3 = 0x = - 1.5, multiplicity of 53.
(x - 4)² = 0x - 4 = 0x = 4, multiplicity of 2Answer:
[tex]\textsf{$x=0$ with multiplicity 2.}[/tex]
[tex]\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}[/tex]
[tex]\textsf{$x=4$ with multiplicity 2.}[/tex]
Step-by-step explanation:
The multiplicity of a zero refers to the number of times the associated factor appears in the factored form of the equation of a polynomial.
Given polynomial:
[tex]f(x)=x^2(2x+3)^5(x-4)^2[/tex]
To find the zeros of the given polynomial in factored form, set each factor to zero and solve for x:
[tex]\implies x^2=0 \implies x=0[/tex]
[tex]\implies 2x+3=0 \implies x=-\dfrac{3}{2}[/tex]
[tex]\implies x-4=0 \implies x=4[/tex]
As the factor "x" appears twice in the factored form of the polynomial, the associated zero has multiplicity 2.
As the factor (2x - 3) appears five times in the factored form of the polynomial, the associated zero has multiplicity 5.
As the factor (x - 4) appears twice in the factored form of the polynomial, the associated zero has multiplicity 2.
Solution
[tex]\textsf{$x=0$ with multiplicity 2.}[/tex]
[tex]\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}[/tex]
[tex]\textsf{$x=4$ with multiplicity 2.}[/tex]
The Safari Restaurant is giving away gift bags. They have 24 magnets and 36 pencils. They want all the bags to be the same so that each bag has the same number of magnets and the same number of pencils. What is the greatest number of gift bags that the restaurant can make using all of the supplies?
Answers
Answer: 18
Step-by-step explanation:
Remove 2 from 36 and remove 1 from 24 until you get to 0.
Henry went shopping for a new pair of pants because of a sale. The store was offering a 10% discount. If the price on the tag was $21, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answers
Answer:
Discount:
$2.10
Final Price:
$18.90
Step-by-step explanation:
Answer:
Step-by-step explanation:
$30.4
Step-by-step explanation:
fist we figure out what 5% of 32 is which is 1.6 then we subtract it from the total cost 32 - 1.6 = 30.4
Are 9^x and 3^2+x equivalent, or not? (That's nine to the power of x, and 3 to the power of 2+x)
Answers
Nine to the power of x, and 3 to the power of 2+x. 9ˣ and [tex]3^{2+x}[/tex] are equivalent.
Given that,
Nine to the power of x, and 3 to the power of 2+x.
9ˣ and [tex]3^{2+x}[/tex]
Exponent means the amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:
8 × 8 x 8 x 8... times equals 8ⁿ
The phrase 8ⁿ above is pronounced as 8 raised to the power n. As a result, exponents are also sometimes referred to as power or indices.
9ˣ=[tex]3^{2+x}[/tex]
[tex]3^{2x}[/tex]=[tex]3^{2+x}[/tex]
Here, bases are equal powers are also equal.
2x=2+x
2x-x=2
x=2
If we substitute x=2 we get 9²=81 and [tex]3^{2+2}[/tex]=3⁴=81
Therefore, 9ˣ and [tex]3^{2+x}[/tex] are equivalent.
To learn more about equivalent visit: https://brainly.com/question/14672772
#SPJ1
Harry downloads album a which has 11 tracks. NEED HELP WITH B . Thankssss
Answers
A) The total cost of downloading B will be £13.3.
B) The total cost of downloading B for 5 tracks is less than 5 p.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Harry downloads album A which has 11 tracks.
The total cost of downloading A is £10.45
Now,
Since, Harry also downloads album B which has 14 tracks.
So, The total cost of downloading B = £10.45 x 14 / 11
The total cost of downloading B = £146.3 / 11
The total cost of downloading B = £13.3
And, The total cost of downloading B for 5 tracks = £10.45 x 5 / 11
The total cost of downloading B for 5 tracks = £52.25 / 11
The total cost of downloading B for 5 tracks = £4.75
Therefore, The total cost of downloading B for 5 tracks is less than 5 p.
Thus,
A) The total cost of downloading B will be £13.3.
B) The total cost of downloading B for 5 tracks is less than 5 p.
Learn more about the multiplication visit:
https://brainly.com/question/2811940
#SPJ1
12. If f(x) = -9x + 8, then find f(-2). (Lesson 2-1)
A. -84
B. -8
C. 26
D. 200
Answers
Answer:
C. 26
Step-by-step explanation:
[tex]{ \tt{f(x) = - 9x + 8}}[/tex]
- f(-2) implies that x = -2, therefore; we substitute -2 in place of x in the function;
[tex]{ \tt{f( - 2) = - 9( - 2) + 8}} \\ \\ { \tt{f( - 2) = 18 + 8}} \\ \\ { \tt{f( - 2) = 26}}[/tex]
Heleine wants to save up for a Macbook during the 4 years of high school so she can have a computer to take to college. She wants to save $3,000. How much must she deposit monthly into an account that pays 1.54 % interest, compounded monthly, in order to have enough money?
Answers
Here is a formula for figuring out loan interest payments. Divide the annual payment amount, typically 12 months, by the interest rate you are being charged. Divide that sum by your loan's initial balance, which should be set at the full amount you borrowed.
How much would a loan for $30,000 per month be?Depending on the APR and length of the loan, the monthly payment for a $30,000 loan can vary from 64.48. For instance, your monthly payment would be $3095.21 if you took out a $30,000 loan for one year with an APR of 1.54%.
Example
Amount of Loan: = $3,000
monthly payment = 64.48
interest = 1.54
term equals 48 months
The total amount paid, including interest, was $305.21.
To Learn more About Loan calculation, Refer:
https://brainly.com/question/26077394
#SPJ13
