The product of 6.7 × 10⁶ and 3.2 × 10⁵ can be written in scientific notation is 2.144 × 10¹².
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The two numbers are [tex]\rm 6.7*10^6 \ and \ 3.2 * 10^5[/tex]
Then find the product of these two numbers.
To multiply these terms is very simple.
First, multiple 6.7 and 3.2 simply. And the power of 10 gets added. That is
[tex](6.7*10^6) * (3.2 * 10^5) = 6.7 * 3.2 * 10^6 *10^5\\\\(6.7*10^6) * (3.2 * 10^5) = 21.44* 10^{6+5}\\\\(6.7*10^6) * (3.2 * 10^5) = 21.44 *10^{11}\\\\(6.7*10^6) * (3.2 * 10^5) = 2.144* 10^{12}[/tex]
The product of 6.7 × 10⁶ and 3.2 × 10⁵ can be written in scientific notation is 2.144 × 10¹².
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This is the same dilation that you used in Question 3.
What scale factor was used to create the dilated Triangle M'S'V?
In your answer, give the scale factor that was used and explain how you
calculated it.
The scale factor used to create the dilated Triangle M'S'V is 2/3.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor k. If k > 1, it is an increment whereas if k < 1, it is a decrease.
Triangle MSV has vertex at M(-3, 3) while that of M'S'V' has vertex at M'(-2, 2). Hence the scale factor is 2/3
The scale factor used to create the dilated Triangle M'S'V is 2/3.
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Suppose a city with population 800,000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in 22 years
Answer:
2,340,208.5 or 2,340,209
Step-by-step explanation:
You could answer this by multiplying the current population of 800,000 by 1.05 (1.05 represents the annual growth rate of population) and do that 22 times. But that would take a while.
we got 1.05 because the formula says that y = a( 1 + r ) power t
for a we will give it 1
so y = 1 ( 1 + 0.05) power t
it will give us 1.05
to do this faster, you would first calculate (1.05)22and then multiply this by 800,000.
So, 800,000 x (1.05)22 = 2,340,208.5 or 2,340,209
find the indicated value from the diagram below.
Check the picture below.
We can conclude that -
y = 50 {Opposite angles are congruent}x = 30 {Consecutive angles are supplementary}What is a parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
Given is a parallelogram ABCD.
Now, we can state that -
∠A = ∠C
(y + 10) = (2y - 40)
y + 10 = 2y - 40
y = 50
{Opposite angles are congruent}
(4x) + (2y - 40) = 180
4x = 180 - 60
4x = 120
x = 30
{Consecutive angles are supplementary}
Therefore, we can conclude that -
y = 50 {Opposite angles are congruent}x = 30 {Consecutive angles are supplementary}To solve more questions on triangles and parallelogram, visit the link below -
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x/3-4=7
whats the answer i cant figure this out?
I think x is 33
that's your answer
10) Alexa bought 8 of this year's hottest
Alex bought 8 of this years hottest Christmas toys for $45.99 each and plans
to sell them for a mark-up price of 60%.
a) How much will Alexa sell each of the
toys for?
b) What is her total profit?
c) Is your answer reasonable?
How do you know?
Answer:
your answer you may be looking for are:
A. 73.58
B. 588.64
if x =5 and y = 2,work out the value of
2x²
Answer:
50
Step-by-step explanation:
2(5)^2=2(25)=50
anna had 5.00 to buy school supplies after buying 4 pencils she had 3.75 which of the following ratios shows one way to determine the unit price of the pencils
A)$5.00/4
B)$1.25/4
Answer:
B) $1.25/ 4
Step-by-step explanation:
if Anna had $5.00 to start with and after buying 4 pencils she had $3.75 left that would mean each pencil was around $1.25.
$5.00 subtract $3.75 equals $1.25
hope this helps :D
what is 4 7/8 - 2 3/4
[tex] \huge \boxed{ \tt2\dfrac{1}{8}}[/tex]
Step-by-step explanation
[tex] \sf \rightarrow4 \dfrac{7}{8} - 2 \dfrac{3}{4} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow\dfrac{39}{8} - \dfrac{11}{4} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{ \frac{39 \times 8}{8} - \frac{11 \times 8}{4} }{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{39 - 11 \times 2}{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{39-22}{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{17}{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow 2\dfrac{1}{8}[/tex]
anyone good at division? i am straight up not understanding this.
1/2 x² + x + 3/2 is the correct answer......
Given the functions f(x) = 7x 13 and g(x) = x 2, which of the following functions represents f[g(x)] correctly? f[g(x)] = 7x 15 f[g(x)] = 7x 27 f[g(x)] = 7x2 15 f[g(x)] = 7x2 27.
Function represent relationship between variables. The value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.
What is Function?A function assigns the value of each element of one set to the other specific element of another set.
Given to us
f(x) = 7x+13
g(x) = x+2
In order to find the value of f[g(x)], we will substitute the value of g(x) at the place of x in f(x).
[tex]f[g(x)] = 7(x+2)+13 \\\\ f[g(x)] = 7x+14+13 \\\\ f[g(x)] = 7x + 27[/tex]
Hence, the value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.
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Can someone help me with this square root problem?
Answer:
200
Step-by-step explanation:
11^2+10^2=x^2
121+100=x^2
221=x
nearest 100th would be 200
Multiply then write the answer in descending order of the variable
(2x-3)(2x^2-3x+4)
Answer:
4x^3 -12x^2 +17x -12
Step-by-step explanation:
Use the distributive property, and collect terms.
(2x -3)(2x^2 -3x +4)
= 2x(2x^2 -3x +4) -3(2x^2 -3x +4)
= 4x^3 -6x^2 +8x -6x^2 +9x -12
= 4x^3 -12x^2 +17x -12
determine the value of a certain number which when multiplied by itself gives the same value as 567×63
Answer:
± 189
Step-by-step explanation:
let the number be x then multiplied by itself is x² , so
x² = 567 × 63 = 35721 ( take the square root of both sides )
x = ± [tex]\sqrt{35721}[/tex] = ± 189
The number can be 189 or - 189
The value of the certain number is mathematically given as
x=17860.5
Question Parameters:
Certain number which when multiplied by itself gives the same value as 567×63
Generally the equation for the statement is mathematically given as
x*x=567×63
Therefore
2x=567×63
x=17860.5
For more information on Arithmetic
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Pls help asap NOWWWWW
Apply BPT theorem or Thales theorem
LM^2=KM×MNSo
∆KLM~∆LMNAnd
∆KLM~∆KLNOption A
Simplify (+3 points): -3x + 5y - 10x - 14y+4+9 -8y + 9x - 1
Answer:
-4x - 17y + 12
Step-by-step explanation:
I combined like terms
-3x + 5y - 10x - 14y+4+9 -8y + 9x - 1
= -4x - 17y + 12
Luke throws a fair coin n times
Find an expression, in terms of n, for the probability that Luke gets at least 1 head and at least 1 tail.
Answer:
[tex]\frac{n^{2} }{4}[/tex]Step-by-step explanation:
We know that the coin has 2 sides, which is tails and heads.
the total number of options is 2. whereas if tails or heads, 1 options
For tails:
[tex](\frac{1}{2}) *n[/tex]
[tex]\frac{n}{2}[/tex]
For heads:
[tex](\frac{1}{2} ) * n[/tex]
[tex]\frac{n}{2}[/tex]
If he does this in a row and expects 1 head and tail:
[tex]\frac{n}{2} * \frac{n}{2}[/tex]
[tex]\frac{n^{2} }{4}[/tex]
Which segment is a reflection of segment AB over the line x = 1? Line segment C D Line segment E F Line segment G H Line segment I J.
Answer:
A
trust me
have a good day brainliest and 5 star please :D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A box of pancake mix has `6` cups of mix.
Eliza used `\frac{3}{4}` of a cup for a recipe.
What fraction of the box of panc
The fraction of the box of pancake that eliza used is; 1/8.
What are fractions?
We are told that the box of pancake mix has 6 cups.
Now, Eliza uses 3/4 of a cup for a recipe.
Since there are 6 cups in the box, it means the fraction of the box of pancake that Eliza used is;
(3/4)/6 = 3/24 = 1/8
In conclusion, the fraction of the box of pancake that eliza used is 1/8.
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Can you solve (x-2)(x+3) = 5 by solving x - 2 =5 and x + 3 =5? Why or why not?
Answer:
no we cannot because when we solve x-2=5 it gives x=7 and x+3=5 gives x=2 if we place the x value as 7 then it does not justify (x-2)(x+3)=5, if we put x= 2 then again it does not justifies (x-2)(x+3)=5
Step-by-step explanation:
x-2=5
x=5+2
x=7
x+3=5
x=5-3=2
putting x=7 in given equation
(7-2)(7+3) is not equal to 5
putting x=2 in given equation
(2-2)(2+3) is not equal to 5
that's why we can't solve
The shaded shape is made by joining a square and a rhombus.
Find the area of the shaded shape.
To find area of first figure:
[tex] \\ [/tex]
As it is given in question shaded shape is made by joining a square and a rhombus. It is clearly visible that the first figure is square.
[tex] \\ [/tex]
So to find Area of a Square:-
We know :-
Area of square = side²
[tex] \\ [/tex]
So:-
[tex] \\ [/tex]
⇢ Area of square = side²
[tex] \\ [/tex]
⇢ Area of square = side × side
[tex] \\ [/tex]
⇢ Area of square = 5 × 5
[tex] \\ [/tex]
⇢ Area of square = 25 cm²
[tex] \\ [/tex]
Therefore Area of first figure is equal to 25 cm²
[tex] \\ [/tex]
To find area of second figure:
[tex] \\ [/tex]
So we have find area of square and now as in question given next shape is rhombus.
[tex] \\ [/tex]
There are two Formulas of rhombus :
Area of rhombus = (Digonal 1 × Diagonal 2)/2Area of rhombus = Base × Height[tex] \\ [/tex]
We have to use second formula as Digonals aren't given :
⇢ Area of rhombus = Base × Height
[tex] \\ [/tex]
⇢Area of rhombus = 4.5 × 5
[tex] \\ [/tex]
⇢Area of rhombus = (45 × 5)/10
[tex] \\ [/tex]
⇢Area of rhombus = (45 × 1)/2
[tex] \\ [/tex]
⇢ Area of rhombus = 45/2
[tex] \\ [/tex]
⇢ Area of rhombus = 22.5 cm²
[tex] \\ [/tex]
Therefore Area of first figure is equal to 22.5 cm²
[tex] \\ [/tex]
Area of whole shaded figure:
⇢A = Area of first figure + Area of second figure
[tex] \\ [/tex]
⇢ A = 25 + 22.5
[tex] \\ [/tex]
⇢ A = 47.5 cm²
[tex] \\ [/tex]
Therefore Area of whole shaded figure is equal to 47.5 cm².
If Mr.Robert's had signed a 5-year contract with increase of 2.45% what will be his annual salary at the end of 5 years?
Answer:
Depends on the amount of the original salary
Step-by-step explanation:
but here is your equation
x(1.0245)^5
NEED HELP ASAP
What is the value of x?
Enter your answer in the box. with straight line with a slightly titled line on top to the right, on the left of that line is (10x-20) and on the right side says (6x+8)
Which expression represents the phrase "the quotient of 9 and 14"?
Answer:
the quotient of 9 and 14
= [tex]\frac{9}{14}[/tex]
Answer:
the answer is 9 upon 14 (⁹/14)
Helppp please I need help
Answer:
Beyond his military accomplishments, Genghis Khan also advanced the Mongol Empire in other ways. He decreed the adoption of the Uyghur script as the Mongol Empire's writing system. He also practised meritocracy and encouraged religious tolerance in the Mongol Empire, unifying the nomadic tribe Northeast Asia .
Step-by-step explanation:
Hope This Helps :)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Directed line segments Ac, DF, and PQ are shown on the graphs. Match each graph with the ratio In which the directed line segment is
partitioned.
4:1
2:1
3:2
3:1
1:1
y
x
O
-4
-2
4
-2
X
4
+
Answer:
the first graph is 3:2
the second is 3:1 or 2:1 i'm not 100% sure on that one
the third is 1:1
Step-by-step explanation: I took the test and got it right
I hope this helps:)
A ratio shows us the number of times a number contains another number. The ratio of DE to EF is 3:2. The ratio of DE to EF is 3:1.
What is a Ratio?A ratio shows us the number of times a number contains another number.
1.)
DE = √(6² + 3²)
= √45
= 3√5
EF = √(4² + 2²)
= √20
= 2√5
Ratio = 3√5 / 2√5 = 3/2
Hence, the ratio of DE to EF is 3:2.
2.)
PQ = √(6² + 3²)
= √45
= 3√5
QR = √(1² + 2²)
= √5
Ratio = 3√5/√5 = 3:1
Hence, the ratio of DE to EF is 3:1.
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I WILL GIVE BRAINLIEST!!!!!
What is the justification for step 2 in the solution process?
1/2r+1/2=-2/7r+6/7-5
Step 1: 1/2r+1/2=-2/7r-29/7
Step 2: 1/2r=-2/7r-65/14
A.) The subtraction property of equality
B.) The multiplication property of equality
C.) The division property of equality
D.) The addition property of equality
Answer:
Option AStep-by-step explanation:
At Step 2 you subtract 1/2 from both sides of the equation:
1/2r = - 2/7r - 29/7 - 1/21/2r = - 2/7r - 58/14 - 7/141/2r = - 2/7r - 65/14Its justification is therefore is:
A) The subtraction property of equalityWhat is the answer??
Answer: I THINK ITS (-10/8)
Step-by-step explanation:
Determine whether the relation is a function. Explain why or why not.
{(2, 5), (3, –5), (4, 5), (5, –5)}
This relation is a function. This is because no x value is repeated, so it passes the vertical line test.
Here is an example of where a relation is NOT a function:
{(2, 5), (3, –5), (2, 5), (5, –5)}
Hope this helps!
The perimeter of a book is 70cm. Its length is 20cm. What is the width?
The perimeter of an object is the sum of all sides.
a book is a rectangle which has 4 sides. 2 sides would be the length and 2 sides would be the width.
Set up the equation:
70 = 20 + 20 + x + x
Simplify
70 = 40 + 2x
Subtract 40 from both sides
30 = 2x
Divide both sides by 2
X = 15
The width of the book is 15 cm
The volume of a sphere is 972π ft³. What is the radius of the sphere? Enter your answer in the box. Ft.
Answer: R= 6.15
Step-by-step explanation:
i did it on a piece of paper