The quotient of 1.782 × 10⁹ and 8.1 × 10⁶ in scientific notation is 2.2 × 10². The result is obtained by using the quotient rule.
What are the rules for exponents?Several rules for exponents are
Product rule → aⁿ × aˣ = aⁿ⁺ˣQuotient rule → aⁿ / aˣ = aⁿ⁻ˣPower of a product rule → (ab)ⁿ = aⁿ × bⁿPower of a quotient rule → (a/b)ⁿ = aⁿ / bⁿPower of a power rule → (aⁿ)ˣ = aⁿˣZero rule → a⁰ = 1Find the quotient of 1.782 × 10⁹ and 8.1 × 10⁶!
Dividing the first number by the second using the quotient rule, it would be
= (1.782 × 10⁹) / (8.1 × 10⁶)
= (1.782/8.1) × (10⁹/10⁶)
= 0.22 × 10⁹⁻⁶
= 0.22 × 10³
In scientific notation, we should write a.b × 10ⁿ, where 1 ≤ a < 10 and n is an integer.
So,
0.22 × 10³ = 2.2 × 10²
Hence, the result of 1.782 × 10⁹ divided by 8.1 × 10⁶ in scientific notation is 2.2 × 10².
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Vitamin C comes in pills with a strength of 500 mg. How many pills would you need to take if you want a dosage of two grams?
Answer:
4 pills
1
Step-by-step explanation:
29. Jamie spent $56 for blue blouse. A red blouse cost two-thirds of this price. What was the cost of the red blouse? PLEASE HELP ME WITH THIS QUESTION MY MATH TEACHER WILL BE VERY UPSET PLEASEEE!!!
A bag contains 6 red marbles and 4 white marbles. A marble is selected, kept out of the bag, and then another marble is selected. What is the probability of choosing a red marble and then another red marble without replacemen
Answer: 60% for the first try, and about 55.56% for second try.
Step-by-step explanation:
There's 10 marbles total.
6 red marbles out of 10 total.
60% chance of getting red marbel
6/10=3/5
The second time would be 5 marbles out of 9 marbles in the bag.
About 55.56%
5/9
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. What is the approximate area of the heptagon rounded to the nearest whole number
Rounded to the nearest whole number, the approximate area of the heptagon is 555 sq cm.
A heptagon is a seven-sided polygon. To find the area of a regular heptagon, we can use the formula:
Area = (7/4) * (perimeter) * (apothem)
where "perimeter" is the length of the heptagon's circumference and "apothem" is the distance from the centre to the midpoint of one of its sides. The radius of the heptagon is the apothem, which is 27.87 cm.
The perimeter of the heptagon can be calculated by multiplying the length of one side by the number of sides:
Perimeter = 24.18 cm * 7 = 168.26 cm
Now we can substitute these values into the area formula:
Area = (7/4) * 168.26 * 27.87
Area = approximately 554.55 sq cm.
Rounded to the nearest whole number, the approximate area of the heptagon is 555 sq cm.
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Write an equation in slope-intercept form for the line that passes through the given
point and is perpendicular to the graph of the equation.
24. (−5, 2), y = ¹⁄2x − 3
Please explain how to get the answer too.
Answer:
Step-by-step explanation:
perp. -2
y - 2 = -2(x + 5)
y - 2 = -2x - 10
y = -2x - 8
Find the volume of a given solid
object where the radius of base
is 7 cm and height is 12 cm.
Note: Consider the solid object is a cylinder because the radius of base and height of the solid is given.
Given:
Radius of base = 7 cm
Height = 12 cm
To find:
The volume of the given solid.
Solution:
The volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius of the base and h is the height of the cylinder.
Putting [tex]r=7,h=12,\pi=\dfrac{22}{7}[/tex] in the above formula, we get
[tex]V=\dfrac{22}{7}\times(7)^2\times (12)[/tex]
[tex]V=22\times 7\times 12[/tex]
[tex]V=1848[/tex]
Therefore, the volume of the given solid is 1848 sq. cm.
PLS HELP 30 POINTS+BRAINLIEST!!
The __________ is the layer of the atmosphere nearest to Earth's surface.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The __________ contains the highest concentration of ozone.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The _________ protects the earth from meteoroids.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The _________ layer is the coldest layer in the atmosphere.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
Most weather occurs in the _________.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The __________ the atmospheric layer farthest from Earth.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
What fraction is no solution?
No solution is a fraction that cannot be represented as a fraction of integers.
A fraction is a division of two numbers, and no solution occurs when the divisor is 0, because division by 0 is undefined.
For example, consider the fraction 2/0. This is a fraction with no solution because division by 0 is undefined. To explain this further, let's look at the formula for division: a/b = c. In this formula, a is the dividend, b is the divisor, and c is the quotient. In the fraction 2/0, the dividend is 2 and the divisor is 0, so when we try to calculate the quotient, we get c = 2/0. Since division by 0 is undefined, the result is no solution.
To summarize, no solution occurs when a fraction's divisor is 0 because division by 0 is undefined. This means that no fraction can be represented as a fraction of integers when the divisor is 0 because there is no solution.
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The number of dragons of Westeros rose by a shocking 15% this year if there were 300 dragons this year how many are there this year
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then there will be a total of 345 dragons in this year.
The percentage increase in the number of dragons in Westeros rose = 15%
The total number of dragons in Westeros rose in previous year = 300
So, for calculating the total number of dragons in Westeros rose in this year we will first find the value of 15% of 300 and then add it to 300.
So, finding the value of 15% of 300
As we know, for removing the percentage sign we will divide the given number by 100
So, the value of 15% of 100 = (15/100)*300 = 45
So, the value of the total number of dragons in Westeros rose in this year will be 300+45 = 345
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The correct question may be like:
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then what will be a total of dragons in this year?
What is 42a - 16 ?????
Answer:
2 (21a−8)
Step-by-step explanation:
Answer:
2(21a - 8)
Step-by-step explanation:
42a - 16
The gcf of 42, 16 is 2
=> 2(21a-8)
how do i answer this q
Answer: -1/4
Step-by-step explanation:
Rate of change is just another term for slope. To calculate slope, we just need any 2 points on the graph and apply the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{1-2}{4-0} =\frac{-1}{4} =-\frac{1}{4}[/tex]
This means -1/4 is the rate of change.
please help me i have a 33 in algebra rn
Omar rides the train and ferry to visit his uncle the train ticket cost $42. The train ticket cost 7 times as much as the ferry tickets. How much does the ferry tickets cost
Answer:
6
Step-by-step explanation:
Find the percent decrease.
Last year I sent out 120 invitations to a summer party
and this year I only sent out 90 invitations.
Answer:
120=100%
90=x
x=100%×90/120
x=75%
%decrease=100%-75%=25%
2) Which equation has the same y-intercept as the graph on the right?
a. f(x) = -2% -2
b. f(x) = (*)*-?
6. f(x) = (a)*+
d. f(x) = 2*-2
Answer:
I'm so sorry if I'm wrong but in my opinion I think the answer is C you don't have to choose it
There are 4 pizzas and 3 people.
How much would each person get if each person eats the same amount?
A. 1 3/4
B. 2/3
C. 1 1/3
D. 3/4
E. 1 1/2
Answer:
The answer will be C
Step-by-step explanation:
Explain how you decided to divide your wholes into fractional parts and how you decided where your number scale should begin and end. Due 1-2-23
On solving the provided question, we can say that - on doing the fraction we have [tex]\frac{1}{10} ; \frac{1}{100} ; \frac{1}{10000}[/tex]
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here we have,
0.1 = 1/10
0.01 = 1/100
0.0001 = 1/10000
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Please can someone help me with this circle theorem question and explain which rule would apply as I can’t seem to find which one I should be using please? :)
Answer:
∠LOP = 96°
Step-by-step explanation:
Given an inscribed angle of 48°, you want to know the measure of the central angle that subtends the same arc.
Inscribed angleThe measure of an inscribed angle is half the measure of the arc it subtends.
∠LMP = 1/2(arc LP)
48° = 1/2(arc LP) . . . . . . use the given value
96° = arc LP . . . . . . . . . multiply by 2
Central angleThe measure of an arc of a circle is the same as the measure of the central angle it subtends: the arc measure and its central angle measure are identical.
arc LP = ∠LOP
96° = ∠LOP
__
Additional comment
That's a long way of saying the central angle is twice the inscribed angle that subtends the same arc. ∠LOP = 2×∠LMP.
Which sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH?
A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. Trapezoid E F G H has coordinates E negative 5 comma negative 1, F negative 4 comma negative 3, G negative 2 comma negative 3, and H negative 1 comma negative 1.
Rotation of 180° about the origin, translation 6 units left
Reflection across the y-axis, translation 6 units left
Reflection across the x-axis, translation 6 units left
Translation 6 units left, reflection across the y-axis
Answer:it is c
Step-by-step explanation:
The sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
What is reflection?A reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to be a reflection of the other figure, then every point in a figure is at equidistant from each corresponding point in another figure.
According to the question
Quadrilateral ABCD
A(1,1) , B(2,3) , C(4,3) , D(5,1)
Quadrilateral EFGH
E(-5,-1) , F(-4,-3) , G(-2,-3) , H(-1,-1)
As we can that
Quadrilateral ABCD and EFGH have opposite sign coordinates
i.e Reflection across the x-axis,
and difference between x axis of Quadrilateral ABCD and EFGH is 6
|-5 - 1 | = 6 ( as distance is always +ve)
therefore,
translation 6 units left
Hence, the sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left
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the swim team trains 4 days every week. Mon, Tues, and Thurs, the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. how many hours per week does the team train?
The number of hours that the team trians per week is 17 hours.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:
( 1 1/4 + 1/2 + 2 1/2) × 4
= 4.25 × 4
= 17 hours.
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How many variable terms are in the expression 3x3y 5x2 Y 9?
The variable terms in the expression 3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9 are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex], and y.
The expression provided is
3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9
In the expression, each variable is represented by a letter.
Let's look at the variables for each term.
The variable in the first term, 3[tex]x^{3}[/tex]y, is [tex]x^{3}[/tex]y.
The variable in the second term, 5[tex]x^{2}[/tex] , is [tex]x^{2}[/tex] .
Y is the variable in the third term.
There is no variable in term 9's final equation.
The variables in the expression are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex] , and y.
As a result, the variables [tex]x^{3}[/tex] and y are the variable terms.
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Can someone help me with this?
9514 1404 393
Answer:
see below
Step-by-step explanation:
The red numbers are the ones that are given in the problem text. The blue numbers are calculated so as to make row and column totals come out properly.
The drink total shows the same number is arrived at either of two ways. This is confirmation that the other numbers are calculated properly.
URGENT!! 60 POINTS!!!!! Based on the linear table of ordered pairs, what is the y intercept?
Answer:
The y-intercept is (0, 8)-----------------------------------
According the the table the slope is:
m = (12 - 4)/(1 - (-1)) = 8/2 = 4Use slope-intercept form:
y = mx + b, where b is the y-interceptAnd substitute one of the ordered pairs, to find the value of b:
4 = 4(-1) + b4 = - 4 + bb = 4 + 4b = 8The y-intercept is (0, 8).
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
Step-by-step explanation:
50, 48, and 14Hope that helps! :)
-Aphrodite
Does 4 8 and 12 make a triangle?
No, 4, 8, and 12 are not valid side lengths for a triangle. So 4, 8 and 12 does not make a triangle.
In order for a shape to be a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.
If a triangle has sides of length 4, 8, and 12, then the triangle inequality theorem would be:
8 + 12 > 4 (true, as 8+12 =20)
12 + 4 > 8 (true, as 4+12=16)
4 + 8 > 12 (false, as 4+8 =12)
Since 4 + 8 = 12, and 12 is not greater than 4 or 8, a triangle cannot be formed with sides of length 4, 8, and 12.
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On your fifteenth birthday you discover you have a rich aunt sally aunt sally is a very generous women and wants to provide for your future she has decided that she will initially give you $1 then $2 the next year and so on doubling the amount each year until your 30. After 15 years how much money will aunt sally pay you for your birthday ?
Answer:
I have an image attached and a table how I solved it.
A circle is centered on point b . Points a,c, and d lie on its circumference . If adc measure 61 then what does abc measure.
Answer:
[tex]\angle ABC = 122^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle ADC = 61^\circ[/tex]
See attachment for circle
Required
Find [tex]\angle ABC[/tex]
From the attachment, we can see that:
[tex]\angle ADC[/tex] is at the circumference
[tex]\angle ABC\\[/tex] is in at the center
From cyclic theorems,
The relationship between ABC and ADC is:
[tex]\angle ADC = \frac{1}{2} * \angle ABC[/tex]
Make ABC the subject
[tex]\angle ABC = 2 * \angle ADC[/tex]
Substitute: [tex]\angle ADC = 61^\circ[/tex]
[tex]\angle ABC = 2 * 61^\circ[/tex]
[tex]\angle ABC = 122^\circ[/tex]
A triangle has sides with lengths of 33 kilometers, 90 kilometers, and 97 kilometers. Is it a right triangle?
This rectangular prism is packed with unit cubes with edge lengths of 12 inch each. Which are the dimensions of the rectangular prism? A 812×312×412 B 8×3×4 C 412×212×112 D 4×2×112
Answer:
Step-by-step explanation:
This rectangular prism is packed with unit cubes with edge lengths of 12 inch each. Which are the dimensions of the rectangular prism? A 812×312×412 B 8×3×4 C 412×212×112 D 4×2×112
The volume of a rectangular prism when given edge length = (Edge length)³
Hence,
Volume = (12 inch)³
Volume = 1728 cubic inches
Therefore, from the above options given, the possible dimensions of the Rectangular prism =
10 = z+6
show work pls
I need helpp
Answer:
10=z+6
10-6=z
4=z
therefore
z=4