Popular Problems Algebra Evaluate Using Scientific Notation (7.1*10^-5)(6.7*10^-6)
(
7.1
⋅
10
−
5
)
(
6.7
⋅
10
−
6
)
Group coefficients together and exponents together to multiply numbers in scientific notation.
(
7.1
⋅
6.7
)
(
10
−
5
⋅
10
−
6
)
Multiply
7.1
by
6.7
.
47.57
(
10
−
5
⋅
10
−
6
)
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
47.57
⋅
10
−
5
−
6
Subtract
6
from
−
5
.
47.57
⋅
10
−
11
Write
47.57
⋅
10
−
11
in proper scientific notation.
4.757
⋅
10
−
10
Answer:
4026
Step-by-step explanation:
Remember PEMDAS:
P - parenthesis
E - exponents
MD - Multiplication and Division (Left to Right)
AS - Addition and Subtraction (Left to Right)
------------------------
Start off by doing the parenthesis (7.1 x 10-5)
We must perform multiplication first so 7.1 x 10 is 71. From there you subtract 5 so 71 - 5 is 66!
So far we have: 66(6.7 x 10-6)
But we aren't done yet!
You must solve (6.7 x 10-6)
Same goes here, multiplication is done first so we would do 6.7 x 10 which is 67. Next, 67-6 which is 61.
We now have (66)(61)
When there is no sign of multiplication or division and the numbers are next to each other like this, you perform multiplication. So, 66x61 is 4026.
Thus, the answer is 4026!
P.S please mark brainiest, this took time <3
Identify each pair of angles in the diagram below as adjacent, vertical,
corresponding, alternate interior, or none of these.
Answer:
1) corresponding
2) alternate interior
3) corresponding
4) alternate exterior
5) vertical
6) supplementary
What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6
Answer:
He made a mistake in his calculations when simplifying 5x - 2y
Step-by-step explanation:
Given
The coordinate pair
[tex](x,y) = (2,-2)[/tex]
The equations
[tex]7x + 9y = ?[/tex]
[tex]5x - 2y = ?[/tex]
Dimitri's Solution
[tex]Equation\ 1: 7x + 9y = -4.[/tex]
[tex]7(2) + 9 (-2) = -4.[/tex]
[tex]14 + (-18) = -4.[/tex]
[tex]-4 = -4.[/tex]
[tex]Equation\ 2: 5x -2y = 6.[/tex]
[tex]5(2) - 2 (-2) = 6.[/tex]
[tex]10 - 4 = 6.[/tex]
[tex]6 = 6.[/tex]
Required
Identify Dimitri’s mistake
In the first equation, Dimitri made no mistake.
However, he made a mistake when simplifying the second equation.
We have:
[tex]5x - 2y[/tex]
and
[tex](x,y) = (2,-2)[/tex]
Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]
So, we have:
[tex]5(2) -2(-2)[/tex]
Open bracket
[tex]10 +4[/tex]
Finally, we have:
[tex]14[/tex]
please help
2y+x=-15
y=2x
Answer: x = -3
Step-by-step explanation:
2y + x = -15
y = 2x
2y = 2(2x) = 4x
4x + x = -15
5x = -15
x = -3
Explain how you know that √10 is between 3 and 4? what would your estimate of √10 be??
Dont try and say the answer in a mf file i have to download lol
Answer:
Step-by-step explanation:
Welllllll.....
If you take the square root of 9, it's 3
if you take the square root if 16, it's 4
I would guess it to be about 3.2
Answer:
Step-by-step explanation:
Lily , we know that [tex]3^{2}[/tex] =9 and [tex]4^{2}[/tex] = 16 so we know that [tex]x^{2}[/tex] = 10 , where 10 is an answer to x squared, then X lies between 3 and 4 , see?
Need some help on this question. Will award brainliest to a correct answer.
A car is moving at a fixed speed. The distance D that the car covers is then directly proportional to the time T it moves. Find the speed of the car. Write a formula that connects D and T. What is the coefficient of variation k equal to?
x-y=3 what is this in slope intercept form
Answer:
y=x-3
Step-by-step explanation:
The radius of a cylindrical cup is 6 ft and its volume is 420 cubic ft. Find the
height of the cup.
A.5 ft
B.3.71 ft
C.2.98 ft
D.6 ft
Answer:
Step-by-step explanation:
Volume of cylinder=pir^h
420={22/7×6×6]h=792/7h=113.14h
h=420/113.14
h=3.712
Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following algebraic representations could be used for that transformation?
Select one:
(x,y)→(−x,y)
(x,y)→(4x,4y)
(x,y)→(x,y+6)
(x,y)→(x+6,y)
Answer:
C) (x,y) → (x,y+6)
Step-by-step explanation:
As the x value stays the same after the transformation, we know that there can be no changes to the value x, automatically limiting the options to answer C.
The mathematical way to find the value y is changed by would be by setting up a small equation as follows:
[tex]8 = 2 + n[/tex], where n is some number that the y value is altered by.
Solving for n gives the value 6, proving that the translation must add 6 to the y value.
Which value below shows the strongest correlation?
A. 0.72
B. 0.35
C. 0.91
D. 0.99
E. 0.88
F. 0.29
G. 0.06
H. -0.55
Answer:
The answer is D. = 0.99
how to solve for x? i need help please help fast
Hi!
x² = 11,2² - 8,5²
x² = 125,44 - 72,25
x² = 53,19 |√
x ≈ 7,3
Can I get help with this please?
Use this data to answer the questions below:
2, 4, 7, 8, 9, 12, 13
What is the range of the data?
What is the second quartile Q2 (or what is the median)?
What is the interquartile range? (Q1-Q3)
Answer: The Range is 11
The Q2 is 8
The Interquartile range is 8
tasha purchased an ipad for $625. a year later, it was selling for $500. what was the percent of change?
a. 20% increase
b. 25% increase
c. 20% decrease
d. 25% decrease
What is the slope of the line on the graph
Answer:
slope of the line(m) =(y2-y1)/(x2-x1)
or, m=(16-10)/(6-3)
or, m=6/3
So, m=2
In the figure the triangle is right triangle at *Y* and *N* is the foot of the perpendicular from *Y* to XZ. Given that XY=6 cm and XZ=10 cm. What is the length of XN
Answer:
3.6cm
Step-by-step explanation:
YZ = 10² - 6² = 8
sinX = 8/10 = 53.13º
cos 53.13º = XN/6
XN = 3.6cm
Answer:
[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]
XY = 6 cm , XZ = 10 cm[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]
Length of XN[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]
Let the length of XN be ' x ' & that of NZ be ' 10 - x 'In rt. XYZ :
Hypotenuse (h ) = 10 , Perpendicular ( p ) = YZ & Base ( b ) = 6Using Pythagoras theorem:
[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]
Plug the values & then simplify!
⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]
⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]
⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]
⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]
In rt. YNZ ,
Hypotenuse = 8 cm , Perpendicular = YN , base = 10 - xUsing Pythagoras theorem :
⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]
In rt. XYN ,
Hypotenuse = 6 , Perpendicular = YN , base = xUsing Pythagoras theorem :
[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]
Now , From Equation ( i ) & Equation ( ii )
⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]
⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]
⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]
⤑ [tex] \large{ \sf{20x = 72}}[/tex]
⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm
Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]
[ Correct me if I am wrong ]
♨ Hope I helped! ♡
♪ Have a wonderful day / night ! ☃
☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
How many flowers, spaced every 6 in., are needed to surround a circular garden with a 100-ft radius?
Answer:
Number of flowers required = 1256
Step-by-step explanation:
Circumference of a circle is given by the formula,
Circumference = 2πr
Here, r = radius of the circle
For a circle with radius = 100 in.
Therefore, circumference = 2π(100)
= 200π
= 628.32 ft
Distance between each flower = 6 in
≈ [tex]\frac{6}{12}[/tex]
= 0.5 ft
Number of flowers = [tex]\frac{\text{Circumference}}{\text{Space between each flower}}[/tex]
= [tex]\frac{628.32}{0.5}[/tex]
= 1256.63
≈ 1256
Therefore, number of flowers required = 1256
can someone help me with this ?
Answer:
de goes with bc ab goes with fd and angle f is angle A and angle d is angle B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the missing side.
Need help please.
Need to show how to get the answer.
Answer:
8
Step-by-step explanation:
Find the area of the SHADED region.
Round to the nearest TENTH if necessary.
Answer:
The area of the SHADED region is 21 cm.²
Step-by-step explanation:
The area of the SHADED region is the difference between the area of the entire figure and the area of the UNSHADED region
The shape of the UNSHADED region is a rectangle
The area of a rectangle, A = The length × The width
∴ The area of the UNSHADED region, A = 1 cm × 4 cm = 4 cm²
The area enclosed by the entire figure is in the shape of a square
The area of a square s similar to the area of the rectangle, but because a square has equal side length, the area of a square, A = Side length × Side length
Therefore, the area enclosed by the entire figure = 5 cm × 5 cm = 25 cm²
The area of the SHADED region = The area enclosed by the entire figure - The area of the UNSHADED rectangular figure inside
That is the area of the SHADED region = 25 cm² - 4 cm² = 21 cm².
Given the diagram shown below, find the value of 3x
Answer:
x= 6
Step-by-step explanation:
by using Pythagoras theorem
(30)={(9x^2+ 16x^2)}1/2
30= 5x
x= 30/5
x= 6
Answer:
18
Step-by-step explanation:
The triangle is a right triangle with sides 3x, 4x, 5x.
5x = 30
x = 6
3x = 3(6) = 18
Answer: 18
Claire had 4 1/6 feet of string. She used some string to hang out decorations. Now she has 1 5/6 feet of string left. How much string did claire use? Draw a model and solve.
Answer:
Length of string used by Claire = 7 / 3 feet
Step-by-step explanation:
Given:
Length of string Claire in starts = [tex]4\frac{1}{6}[/tex] feet
Length of string Claire in end = [tex]1\frac{5}{6}[/tex] feet
Find:
Length of string used by Claire
Computation:
Length of string Claire in starts = [tex]4\frac{1}{6}[/tex] feet = 25 / 6 feet
Length of string Claire in end = [tex]1\frac{5}{6}[/tex] feet = 11 / 6 feet
Length of string used by Claire = Length of string Claire in starts - Length of string Claire in end
Length of string used by Claire = [25 / 6] - [11 / 6]
BY taking LCM
Length of string used by Claire = [25 - 11] / 6
Length of string used by Claire = 14 / 6
Length of string used by Claire = 7 / 3 feet
Write the equation of the line that passes through the points (4,1) and (-6,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
Find the slope:
[tex]m = \frac{y2-y1}{x2-x1} = \frac{9 - 1}{-6 - 4} = -\frac{8}{10} = -\frac{4}{5}[/tex]Use point-slope form and one of the points:
y - y₁ = m(x - x₁)[tex]y - 1 = -\frac{4}{5}(x - 4)[/tex]Assume that 80 yen = $1.
What is the yen price of $1?
What is ths dollar price of 1 yen?
How many dollars would you need to buy a 20,000 yen iphone?
Answer:
250$
Step-by-step explanation:
[tex]80/1 = 20000/x\\20000/80=250\\1 * 250=250\\\\80/1 = 20000/250\\[/tex]
Christopher needs to buy wooden boardes to build a box that is 12 inches long, 6 inches wide, and 8 inches high. How many square inches of wooden boards is needed to build the box
Answer:
432 in²
Step-by-step explanation:
To Obtian the square inches of wooden boards required :
Area of box = 2(l * w) + 2(l * h) + 2(h * w)
Length = 12 ; width = 6 ; height = 8
Hence,
Area of box = 2(12 * 6) + 2(12 * 8) + 2(8 * 6)
Area of box = 2(72) + 2(96) + 2(48)
Area of box = 432 in²
hii please help i’ll give brainliest
Answer:
18
Step-by-step explanation:
Multiples of 6: 6, 12, 18, etc.
Multiples of 9: 9, 18, etc.
the least common multiple here is 18
Answer:
Example: 9 and 12
Step-by-step explanation:
9: 9, 18, 27, 36, 48, 54, 63, 72..
12: 12, 24, 36, 48, 60, 72
36 is the first number that occurred in both list, so 36 is the least common multiple of 9 and 12
Keisha wants to buy her a new pair of jeans that
cost $34.99. She can receive 15% off. How much
is the discount she receives?
ROUND YOUR ANSWER TO THE NEAREST HUNDREDTH
Answer:
15% off of $34.99 equals $29.74
Step-by-step explanation:
the discount she receives should be
$34.99-$29.74= $5.25
What is the center of the data?
Number of Green Candies in a Bag
A dot plot going from 10 to 15. 10 has 1 dot, 11 has 3 dots, 12 has 1 dot, 13 has 2 dots, 14 has 3 dots, and 15 has 3 dots.
The center is
.
Answer:
[tex]Median = 13[/tex]
Step-by-step explanation:
Given
See attachment for dot plot
Required
The center of data
This implies that, we calculate the median
From the attached plot,
[tex]n = 13[/tex] --- number of observation
So, the median is:
[tex]Median = \frac{n + 1}{2}[/tex]
[tex]Median = \frac{13 + 1}{2}[/tex]
[tex]Median = \frac{14}{2}[/tex]
[tex]Median = 7th[/tex]
The median is at the 7th position
At the 7th position, is 13
Hence:
[tex]Median = 13[/tex]
Answer:
i think it would be 13?
Step-by-step explanation:
just guessing but im pretty sure its 13
How many minutes per question does she have
Answer:
she has 2.5 minutes per question
90 ÷ 36 = 2.5
Step-by-step explanation:
Answer:
The answer is 2.5 minutes per second
Step-by-step explanation:
you divide 90 to 36 and it will give you 2.5
Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals103.29, y overbarequals103.75, requals0.899, P-valueequals0.000, and ModifyingAbove y with caret equals negative 9.5 plus 1.1 x, where x represents the IQ score of the younger child. Find the best predicted value of ModifyingAbove y with caret given that the younger child has an IQ of 105? Use a significance level of 0.05.
Answer:
106
Step-by-step explanation:
Given :
Number of the set of siblings = 20
This 20 pair yields [tex]$\overline x$[/tex] = 103.29, [tex]$\overline y$[/tex] = 103.75, requals = 0.899, P-value = 0.000
Let x represents the IQ score of the younger child.
And y is the predicted value of Y(^).
So according to the question,
x = 105
and y = -9.5 + 1.1 x
Then,
y = -9.5 + 1.1 (105)
y = -9.5 + 115.5
y = 106
So the best predicted value of Y(^) is 106
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Boubacar sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
120 visitors purchased no costume.
235 visitors purchased exactly one costume.
3 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no costume as a percent to the nearest whole number.
Answer:
Step-by-step explanation:
p[p
Answer: 34%
Step-by-step explanation:
(Trust me)