Answer:
1.728×10¹⁵
Step-by-step explanation:
You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).
An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.
10 = 1 × 10
100 = 1 × 10 × 10 = 1 × 10²
__
Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).
Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)
The product will be ...
(5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)
= 17.28 × 10¹⁴
= (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left
Adding that extra zero into the count we already have, this becomes ...
= 1.728×10¹⁵
_____
Additional comment
Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.
Or, you can use a spreadsheet with appropriate output cell formatting.
Answer:
1.728×10¹⁵ is the answer
Which of the following is the measure of an acute angle? O A. 112° O B. 90° O C. 78° O D. 182
Answer:
C
Step-by-step explanation:
because acute angles have to be less than 90 degrees so therefore it's C.
Answer:
it would be c 78 degrees because under 90 degrees makes a acute angle anything that is under 90 degrees makes acute and anything over 90 degrees makes obtuse angle so c
Step-by-step explanation:
5w+4w=18 simplify
how do you do this??
Answer:
Solved: w = 2
Step-by-step explanation:
Combine like terms
5w+4w = 9w
Isolate or make w alone
9w= 18 so divide both sides by 9 to make w alone
9w ÷ 9 = w
18 ÷ 9 = 2
w = 2
Answer:
you just add 5w and 4w and taht is 9w
[tex]9x = 18 \\ w = 18 \div 9 \\ w = 2[/tex]
Triangle P is rotated 180° about (0, 0) to give triangle Q. Triangle Q is translated by 5 2 to give triangle R. (a) Describe fully the single transformation that maps triangle P onto triangle R.
Answer:
(x, y) ⇒ (-x +5, -y +2)
Step-by-step explanation:
Rotation 180° is described by ...
(x, y) ⇒ (-x, -y)
Translation right 5 and up 2 is described by ...
(x, y) ⇒ (x +5, y +2)
The two transformations together that map P to R are described by ...
(x, y) ⇒ (-x +5, -y +2)
Solve for x
−4x+60<72 OR 14x+11<−31
Answer:
14x+11<-31
14x<-42
x=-3
Hope This Helps!!!
Solve x/2 - 8 = y for x
Answer:
B) x=2y + 16
Step-by-step explanation:
First, you'd multiply the x/2 by 2 to get x by itself.
You do the same throughout the whole equation.
Then isolate the x by getting rid of the -16 to the other side by adding 16
Your final answer should be:
B) x=2y + 16
The value of x for the given equation x/2 - 8 = y will be x = 2y + 16 thus option (B) is correct.
What is the equation?A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
x/2 - 8 = y
Add 8 both sides,
x/2 - 8 + 8 = y + 8
x/2 = y + 8
Multiply by 2 both sides,
x/2 × 2 = (8 + y) × 2
x = 2y + 16
Hence "x = 2y + 16 will be the value of x in the equation x/2 - 8 = y".
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John drove 30 miles to work each day.He moved closer too work and now he drives 18 miles to work each day what percentage did the number of mile john drove decrease
Answer:
40 i think
Step-by-step explanation:
10 < 2 - d solve for d
Answer:
d< -8
Step-by-step explanation:
10 < 2 -d
Add d to both sides: 10 + d < 2 -d + d
Simplify: 10+d<2
Subtract 10 from both sides: 10 + d - 10 < 2 - 10
Simplify: d < -8
Sorry if I'm wrong or didn't explain right. I tried my best. Enjoy your answer and have a great day. Thanks :)
Help me, I'm really tired atm
Step-by-step explanation:
6/15 = 12/30 = 24/60 = 48/75
Answer:
Step-by-step explanation:
Is -4 a real or imaginary number?
Answer:
Real number
Step-by-step explanation:
Unless it has an i with it then it's an imaginary number but because it doesn't have an i with it it's real
Answer:
real number
Step-by-step explanation:
Hi! -4 is a real number because imaginary numbers are characterized as i= sqrt -1
If you see a number with an i in it, then it is imaginary. In this case, however, we have a real number.
I hope this helps!
how do you estimate the car
Answer:
The car value is 9100
Step-by-step explanation:
you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.
hope that helps!
I need help with this
Answer:
512
Step-by-step explanation:
64 × 8 = 512
512
64 8
16 4 2
8 2 2 1
what is the modulus of the complex number -4+3i
The modulus of the complex number -4+3i is 5.
Complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit,
A complex number is a number of the form a + bi, where a and b are real numbers.
The modulus (z) of a complex number x + iy is given by:
z = √(x² + y²)
The modulus of the complex number -4+3i is:
[tex]z=\sqrt{(-4)^2+3^2} =\sqrt{25}=5[/tex]
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PLEASE HELP ASAP !! ALL 4 QUESTIONS IN THE PICTURE !
Answer:
#1= 5
#2= i think it's a red square
#3= 243
Step-by-step explanation:
ok so im rlly sorry but i think i can only solve 1 2 and 3:
for #1:
the pattern is subtracting 1,2,3,4 each time it goes to the next number.
29-28=1
28-26=2
26-23=3
23-19=4
19-?=5
?=14
19-14=5
so answer would be 5
for #2:
the pattern goes red triangle, red square, blue triange, blue square, red triangle, etc.
so with it continuing on, it would be red square
for #3:
the pattern looks like they're multiplying by 3 each time:
3x3=9
9x3=27
27x3=81
81x3=?
?=243
81x3=243
so the answer would be 243
hope this helped :)
Please help! (Only answer if correct)
Erica used 50 pounds of type B coffee
Let the number of pounds of type A coffee be A
Let the number of pounds of type B coffee be B
Total number of pounds = 123
A + B = 123.........................................(1)
Cost of 1 pound of type A coffee = $5.95
Cost of 1 pound of type B coffee = $4.40
Total cost = $654.35
5.95A + 4.40B = 654.35..........................(2)
Make A the subject of the formula in equation (1)
A = 123 - B........................(3)
Substitute equation (3) into equation (2)
5.95(123 - B) + 4.40B = 654.35
731.85 - 5.95B + 4.40B = 654.35
5.95B - 4.40B = 731.85 - 654.35
1.55B = 77.5
B = 77.5/1.55
B = 50
Erica used 50 pounds of type B coffee
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Select from the drop-down menus to correctly complete the proof. To prove that 4π is irrational, assume the product is rational and set it equal to ab, where b is not equal to 0: 4π=ab. Isolating π gives π=a4b. The right side of the equation is Choose.(rational or Irrational).. . Because the left side of the equation is Choose.(rational or irrational).. , this is a contradiction. Therefore, the assumption is wrong, and the number 4π is Choose(rational or Irrational)... .
The product of a rational number and an irrational number is an irrational
number.
The correctly completed proof is presented as follows;
To prove that 4·π is irrational, with the assumption that, 4·π = [tex]\displaystyle \frac{a}{b}[/tex], where b ≠ 0. Which by isolation of π gives π = [tex]\displaystyle \mathbf{ \frac{a}{4 \cdot b}}[/tex].
The right side of the equation is irrational, because the left side of the
equation is irrational, this is a contradiction.
Therefore, the assumption is wrong and the number 4·π is irrational.
Reasons:
The proof is presented as follows;
With the assumption that 4·π is rational, we have;
[tex]\displaystyle 4 \cdot \pi = \mathbf{\frac{a}{b}}[/tex]
Where;
b ≠ 0
Making π the subject of the above formula, by isolating, it, we have;
[tex]\displaystyle \pi = \mathbf{\frac{a}{4 \cdot b}}[/tex]
The right side of the equation is rational, however, the left side of the
equation π is irrational, which results in a contradiction, therefore, the
product 4·π is an irrational number.
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Answer:
irrationalirrationalirrational
A video game that normally sells for $80 is on sale for 60 what is the percent of discount for the sale price
Answer:
20% discount
Step-by-step explanation:
Can someone plz help me?
Answer: C
Pt. C is at coordinate point (2,1)
The distance between A and C is 4 units (or boxes).
how many days would it take for a tiger to eat a boar
1.
Solve using traditional division: 7,925 divided by 25.
Is 92.248 an integer? Yes or no
Answer:
NO no no non
Step-by-step explanation:
IHOPE THIS CORELRECT ANSWER
CARD #2:
Bobby says the
dilation can be
represented by
(x, y).
A figure on a
coordinate plane is
dilated. Point A(3,9)
is dilated to A'l, 3).
Betty says the
dilation can be
represented by
(3x, 3y).
Answer:
When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky). For enlargements, k > 1.
equivalent ratio tables
Answer:
11, 44, 24
Step-by-step explanation:
On the right side column you are adding 11 every time you add 4 on the left side column
For example :
4:11
8:22
12:33
16:44
20:55
24:66
Hope this helps!!! :)))
Qui est grand 0 ou -2,5
Answer:
0
Step-by-step explanation:
positive numbers are always bigger than negative numbers
The ratio of cookies to muffins made at The Berry Bakery is 3 : 4. If they make 12 cookies on Monday, how many muffins did they make?
Answer:
13
Step-by-step explanation:
The proportion is solved and the number of muffins is M = 16
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The ratio of cookies to muffins made at The Berry Bakery is 3 : 4
Now , the number of cookies is = 12
So , the proportion is
3 / 4 = 12 / M
Multiply by M on both sides , we get
( 3/4 )M = 12
Divide by 3/4 on both sides , we get
M = 16 muffins
Hence , the number of muffins is 16
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Discuss how to convert 15 in. to yd. (need ko po nganon)
Answer:
To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:
is the expression x³·x³·x³ equivalent to x³·³·³? why or why not? explain your reasoning
Answer:
Definitely not equivalent.
Exponent rules state that whenever you multiply terms with the same power, you add the powers together and multiply the coefficients.
x^3*3*3 is equivalent to something like ((x^3)^3)^3 or x^27
x^3 * x^3 * x^3 would be x^3+3+3 or x^9
Which of the following is a reason to establish a good credit history?
Easy math problem
……………………………………
Answer:
if its easy then answer it .-.
Step-by-step explanation:
Answer:
u =-3
Step-by-step explanation:
^PLZ HELP, I NEED IT BY TODAY!!! (PART B and PART C only) PLZ THANKS
Part B (Taxi):
12 miles = 0.5 miles + (115×0.1) miles
Rate: $2.40 + (115×0.20)
= $25.40
Total cost (with tip): $25.40 + $2
= $27.40
20 miles = 0.5 miles + (195×0.1) miles
Rate: $2.40 + (195×0.20)
= $41.40
Total cost (with tip): $41.40 + $2
= $43.40
50 miles = 0.5 miles + (495×0.1) miles
Rate: $2.40 + (495×0.20)
= $101.40
Total cost (with tip): $101.40 + $2
= $103.40
Part B (Uber):
12 miles (rate) = $1 + ($1.05×12)
= $13.60
Total cost (with tip): $13.60 + $2
= $15.60
20 miles (rate) = $1 + ($1.05×20)
= $22
Total cost (with tip): $22 + $2
= $24
50 miles (rate) = $1 + ($1.05×50)
= $53.50
Total cost (with tip): $53.50 + $2
= $55.50
Part C
Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
135
Step-by-step explanation:
bc its the right answer
Answer:
the answer is 138.57 so ur answer would be 135
Step-by-step explanation: