(8.91 times 10 Superscript 2 Baseline) (3.3 times 10 Superscript 12 Baseline)
Answers
Answer:
2.9403×10^15
Step-by-step explanation:
Your calculator can work this out for you.
[tex](8.91\times10^2)(3.3\times10^{12})=(0.891\times10^3)(3.3\times10^{12})\\\\=(0.891\times3.3)(10^{3+12})=\boxed{2.9403\times10^{15}}[/tex]
__
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
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Additional comments
You can keep a product the same if you divide one factor by 10 and multiply the other factor by 10:
8.91×10² = (8.91/10)(10×10²) = 0.891×10³
I like to "pre-scale" the numbers in a problem like this so that the product comes out in scientific notation with no adjustment needed. That is, the product of the two mantissas is a number between 1 and 10.
Here, you can tell the product of 8.91 and 3.3 will be more than 24, so scaling will be necessary. It is convenient to scale the larger mantissa to be less than 1 so the product comes out less than 10. That is why we made it 0.891×10³.
Answer:
2.9403×10^15
Step-by-step explanation:
i took the unit test
Related Questions
Find the midpoint of the line segment joining the points (-1, -2) and (-3, 13).
The midpoint is
(Simplify your answer. Type an ordered pair)
Answers
midpoint =(X1+X2)/2 ,(Y1+Y2)/2
therefore=
( -1+-3)/2, (-2+13)/2
=(-4/2,11/2)
=(-2,5.5)
15 less than a number S is three more than 9 times a number T. Solve for S
Answers
Answer:
s = 9t + 18
Explanation:
Set up your equation
s - 15 = 9t + 3
Now get s by itself by adding 15 to both sides
s + 0 = 9t + 3 + 15
s = 9t + 18
If you know the value of t, plug that into the equation to solve further.
Graphs of functions on the interval [0, 4] are depicted below. For each function, find its maximum and minimum values.
The maximum value is:
The minimum value is:
Answers
Answer:
To find the extremes, we must see the graph.
The maximum will be the value where the value of y is the greatest.
We can see that the graph peaks at y = 3.
Then the maximum is 3.
The minimum is the value of y that is the lowest.
We can see that in the left side, when x = 0, y takes the lowest value, y = -1
Then the minimum in the interval is -1.
The easier way to see maximum/minimum value is to look at the highest/lower value in the graph.
What is the equation of the line that passes through the point (2, -1) and has a slope of 3/2?
Answers
Answer:x=-2
Step-by-step explanation: -1=3/2x+2
Given :-
A line having a slope of 3/2 passes through (2,-1) .
To Find :-
The equation of the line .
Answer :-
According to the question ,
m = 3/2
Point = (2,-1)
We know Point slope form of the line as ,
y - y¡ = m ( x - x ¡ )
Substitute ,
y - (-1) = 3/2 ( x - 2 )
y + 1 = 3/2x - 3/2*2
y +1 = 3/2x - 3
2( y +1) = 3/2x *2 - 3*2
2y + 2 = 3x - 6
3x -2y -8 = 0
Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than $113 on her phone bill each month. Which of the following describes the number of texts she sends? (2 points)
a.) at least 160
b.) no more than 160
c.) fewer than 160
d.) more than 160
Answers
Answer:
c because she wants to spend less than 113 and if she sent 160 that would be 113 so has to be less
Step-by-step explanation:
113>97+.1x
16>.1x
160>x
Which of the following is the solution to lx-13 k 18 ?
A. x < 31
B. x < 31 and x > -5
C. X<31 and x < -5
D. X<31 or x > -5
Answers
The coordinates of the midpoint of GH are M(8,0) and the coordinates of one endpoint are H(-2,9) The coordinates of the other endpoint are (_,_)?
Answers
Answer:
work is attached and shown
The coordinates of the other endpoint are (18, -9)
The given points;
midpoints M = (8, 0)
one end points, H = (-2, 9)
The coordinate of the other end point is calculated as;
[tex]G_1 = \frac{x + (-2)}{2} = 8\\\\G_2 = \frac{y+ 9}{2} = 0[/tex]
From the above equation, the x coordinate is calculated as;
x - 2 = 16
x = 18
The y coordinate is calculated as;
y + 9 = 0
y = -9
Thus, the coordinates of the other endpoint are (18, -9)
Learn more here: https://brainly.com/question/20428158
what is (9/8)^3x+12=1
Answers
The solution for the expression is x = -4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To solve for x in the equation
(9/8)^(3x+12) = 1
we can take the natural logarithm of both sides and use the properties of logarithms to simplify.
ln[(9/8)^(3x+12)] = ln(1)
(3x+12) ln(9/8) = 0 (since ln(1) = 0)
3x + 12 = 0 (since ln(9/8) ≠ 0)
3x = -12
x = -4
Therefore,
The solution is x = -4.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Ina school 3/7 of the student are girls if there are 240 boys, find the number of girls
Answers
3/7 = 240
7/7 x 240 = 240
240/ 3/7 = 560
there is 560 kids
560-240(all kids - girls)
there is 320 boys
The number of Girls in a school is 180.
Find the number of girls.
There are girls in a school = 3/7
Number of boys in a school = 240
Assume that there are x students in a school.
Number of Girls = 3/7 of All Students.
= 3/7 of x
= 3x/7
We know that,
Total Students = Number of Boys + Number of Girls.
240 + 3x/7 = x
240 = x - 3x/7
240 = (7x - 3x) /7 (Taking L.C.M.)
240 × 7 = 4x
x = 60 × 7
x = 420
Total number of Students in a school is 420.
Thus, Number of Girls = 3/7 × x
= 3/7 × 420
= 180
So, the number of Girls in a school is 180.
Learn more about problems on find the number.
https://brainly.com/question/2735227
In a scale drawing of a painting, 1 centimeter represents 6 Inches.
Scale
1 cm: 6 in
Answer the following.
(a) In the scale drawing, the length of the painting is 7
centimeters. What is the length of the real painting?
(I) inches
X
(b) The height of the real painting is 24 inches. What is the
height of the painting in the scale drawing?
I centimeters
Answers
Rewrite in simplest radical form! Show your work.
Answers
[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]
First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.
[tex]x^{\frac{6}{-3} }[/tex]
Now that the fraction in the denominator is taken care of, we can reduce the denominator.
[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.
[tex]x^{-2} = \frac{1}{x^{2} }[/tex]
Answer:
*i forgot what a radical is but* your answer is -2
Step-by-step explanation:
there is something called
REDUCE COMPOUND FRACTIONS
basically it's
[tex]m/f/t[/tex]
so
[tex]1/-3/6\\[/tex]
is gonna be
[tex]1*6/-3[/tex]
which is -2
what is (10y+6) (8y-6) ?
Answers
Answer:
y = 3/4 or y = -3/5
Step-by-step explanation:
Solve for y:
(8 y - 6) (10 y + 6) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
8 y - 6 = 0 or 10 y + 6 = 0
Hint: | Look at the first equation: Factor the left hand side.
Factor constant terms from the left hand side:
2 (4 y - 3) = 0 or 10 y + 6 = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
4 y - 3 = 0 or 10 y + 6 = 0
Hint: | Isolate terms with y to the left hand side.
Add 3 to both sides:
4 y = 3 or 10 y + 6 = 0
Hint: | Solve for y.
Divide both sides by 4:
y = 3/4 or 10 y + 6 = 0
Hint: | Look at the second equation: Factor the left hand side.
Factor constant terms from the left hand side:
y = 3/4 or 2 (5 y + 3) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
y = 3/4 or 5 y + 3 = 0
Hint: | Isolate terms with y to the left hand side.
Subtract 3 from both sides:
y = 3/4 or 5 y = -3
Hint: | Solve for y.
Divide both sides by 5:
Answer: y = 3/4 or y = -3/5
2(c-5) - 3
What is the answer?
Answers
Step-by-step explanation:
2 · c - 5 · 2 - 3 = 2c - 10 - 3
2c - 10 - 3 = 2c - 7
When f(x) =-3 what is x
Answers
Answer:
I'm pretty sure the answer is 1.
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
If u doing edge the string numbers in the table are -4,-66
-3,-29
-2,-10
-1,-3 and so on hope this helps :)
A person who had $1,000,000 gave $100 to charity. How much must a student who has $100 give to charity to give proportionally the same as the millionaire?
Answers
(100 / 1,000,000) × 100% = 0.01%
x = amount of money the student has to give.
(x / 100) × 100% = 0.01%
We can cancel out the 100's
x = $0.01
The student would have to give $0.01 or 1 cent
The result of which expression will best estimate the actual product of (-4/5)(3/5)(-6/7)(5/6)?
A.(-1)(1/4)(-1)(-1)
B.(-1)(1/2)(-1)(1)
C.(-4/2)(3/2)(-2/5)(5/2)
D.(-3 /4)(-3 /4)(-1/5)(1/2)
For the -3 /4 both the 3 is the only negative numbers I put the photo to show you.
Answers
Answer: the answer is B have a nice day :)
Step-by-step explanation: got it right on edge
Factor 1/2 out of 12x−33/2. 1/2x−33/2=
Answers
Answer:
16.5
Step-by-step explanation:
are these called interior angles ?
Answers
Answer:
yes they are
Step-by-step explanation:
Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings
Answers
Answer:
120% increase
Step-by-step explanation:
What is the equation of the line that passes through the point (−6,2) and has a slope of -3/2
Answers
[tex]y = {x}^{2} + 4x - 12[/tex]
what is the square root of 27/64 cubed
Answers
Answer:
0.421875
Step-by-step explanation:
0.42 simplified.
I hope this helps!!
- Raymond and Rose were working with exponents.
Pari A Raymond claims that 55 * 52 = 53. Rose argues that 55 - 52 = 57. Which one of
them is correct? Use the properties of exponents to justify your answer.
12/25
= 74. Rose argues that
= 745 which one of
7
Part B: Raymond claims that
75
them is correct? Use the properties of exponents to justify your answer.
Answers
This Question was not written properly
Complete Question
Raymond and Rose were working with exponents.
Part A: Raymond claims that 5⁵ * 5² =5³ Rose argues that 5⁵ * 5² = 5⁷. Which one of them is correct? Use the properties of exponents to justify your answer.
Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵. Which one of them is correct? Use the properties of exponents to justify your answer.
Answer:
Part A : Rose is correct
Part B : Raymond is correct
Step-by-step explanation:
Part A:
Raymond claims that 5⁵ * 5² =5³
Rose argues that 5⁵ * 5² = 5⁷.
Which one of them is correct?
Rose is correct
Use the properties of exponents to justify your answer.
Using the properties of exponents,
x^a × x^b = x^a+b
From the above question, following the above rule we have:
5⁵ * 5² = 5⁵+²
= 5⁷
Hence, Rose is correct.
Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵.
Which one of them is correct?
Raymond is correct
Use the properties of exponents to justify your answer.
Using the properties of exponents,
x^a / x^b = x^a-b
From the above question, following the above rule we have:
7⁹/7⁵ = 7⁹-⁵
= 7⁴
Hence, Raymond is correct.
The larger of two complementary angles is 6 degrees less than 7 times the smaller. Find the measure of the smaller angle.
Answers
Answer:
Step-by-step explanation:
The sum of two complementary angles is 90.
Let the two angles be x and y.
If x and y are complementary, then x+y = 90
If the larger of two complementary angles is 6 degrees less than 7 times the smaller then y = 7x-6 (y is the larger and x is the smaller)
Substituting y = 7x-6 into the formula above;
x+7x-6 = 90
8x - 6 = 90
8x = 90+6
8x = 96
x = 96/8
x = 12°
Hence the measure of the smaller angle is 12°
Solve for w: -4u-w = u+6w
Answers
Answer:
A
Step-by-step explanation:
-4u - w = u + 6w
-4u = u + 7w (Add w to both sides)
-5u = 7w (Subtract u from both sides)
w = [tex]-\frac{5u}{7}[/tex] (Divide both sides by 7)
Answer:
w=(-5u)/7
Step-by-step explanation:
-4u-w=u+6w
Combine like terms
-4u-u=6w+w
-5u=7w
Divide both sides by 7 to cancel it out on the right side and isolate w
(-5u)/7=(7w)/7
(-5u)/7=w
w=(-5u)/7
I hope this helps! If it did, a brainliest would be much appreciated :)
21 kg of apples cost $210. How many kilograms of apples can you get with $270 ?
Answers
Answer:
27 kg
Step-by-step explanation:
Step 1:
21 : 210 = x : 270
Step 2:
210x = 5,670
Answer:
x = 27
Hope This Helps :)
Employer A is offering you a position for $35,000 per year. Employer B is offering the same job for $18.00 per hour. Assuming both jobs require a 40-hour work week for 52 weeks, which job pays more?
Answers
Answer:
employer b
Step-by-step explanation:
he is offering 37,440.
Answer:
B
Step-by-step explanation:
Exercice 1 Quel est le nombre 100 fois plus petit que 7 453 ? ……………………………….. Quel est le nombre 100 fois plus grand que 12,677 ? …………………………… Exercice 2 Sachant que 38 12 = 456, calculer 3800012. 3800012 = ……………………. Exercice 3 Pour chaque opération proposée dans la première colonne, cocher la case correspondant à l'ordre de grandeur du résultat. Opération 1 10 100 1 000 10 000 118 98 43,5 + 873 902 – 5,7 8 980 0,1 87,63 : 8 Exercice 4 La flèche ci-dessus indique un nombre de l'axe gradué. Quel est ce nombre : 0,20 ? 0,37 ? 0,62 ? 0,75 ? Réponse : ………….. Exercice 5 Encadrer chaque nombre proposé par deux nombres entiers consécutifs. < 7 999, 101 < < 98,6 < < 20,69 < Exercice 6 Quelle écriture ne correspond pas au nombre 7,89 ? (Entourer la bonne réponse) 78910 ; 7+810+9100 ; 3,240 + 4,65 ; 7 unités et 89 centièmes
Answers
Simplify (9-1)^5/(6+2)^3
Help
Answers
Answer:
64
Step-by-step explanation:
(9-1)^5 / (6+2)^3
8^5 / 8^3
32768 / 512
64
1. There are 34 panda stickers, 24 elephant stickers, 32 smiley face stickers
and 12 star stickers in the sticker machine. Tara wants to get a star sticker
or a panda sticker
Answers
Answer:
she could add them all up
Step-by-step explanation:
Find the missing fraction.
3
1
10
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
[tex] { \boxed{ \bold{ \huge{ { \boxed{ \sf{ \frac{1}{2} }}}}}}}[/tex]
Step-by-step explanation:
Let the missing fraction be x
[tex] \star \: \: \: \sf{x - \frac{3}{10} = \frac{1}{5}} [/tex]
Solve for x.
L.C.M of 1 and 10 = 10
[tex] \longmapsto{ \sf{ \frac{x \times 10 - 3}{10} = \frac{1}{5} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{10x - 3}{10} = \frac{1}{5} }}[/tex]
Do cross multiplication
[tex] \longmapsto {\sf{5(10x - 3) = 10 \times 1}}[/tex]
Distribute 5 through the parentheses
[tex] \longmapsto{ \sf{50x - 15 = 10}}[/tex]
Move 15 to right hand side and change it's sign
[tex] \longmapsto{ \sf{50x = 10 + 15}}[/tex]
Add the numbers: 10 and 15
[tex] \longmapsto{ \sf{50x = 25}}[/tex]
Divide both sides by 50
[tex] \longmapsto{ \sf{ \frac{50x}{50} = \frac{25}{50}}} [/tex]
[tex] \longmapsto{ \purple{ \boxed{ \sf{ x = \frac{1}{2} }}}}[/tex]
The missing fraction is [tex] \sf{ \frac{1}{2} }[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl