Answers
Answer: Choice D. [tex]6.44 \times 10^{-4}[/tex]
========================================================
Work Shown:
We multiply the coefficients 9.2 and 7 to get 64.4, which is the same as 6.44*10^1 in scientific notation. When multiplying exponential expressions with the same base, we add the exponents
This is what the steps could look like
[tex]\left(9.2 \times 10^{-9}\right)\times\left(7 \times 10^{4}\right)\\\\\left(9.2\times7\right)\times\left(10^{-9} \times 10^{4}\right)\\\\\left(64.4\right)\times\left(10^{-9+4}\right)\\\\\left(6.44\times 10^{1}\right)\times\left(10^{-5}\right)\\\\6.44\times\left(10^{1}\times 10^{-5}\right)\\\\6.44\times\left(10^{1+(-5)}\right)\\\\6.44\times 10^{-4}\\\\[/tex]
The final result is in scientific notation as the coefficient c is restricted such that [tex]0 \le c < 10[/tex]
Related Questions
A red marble is selected at random from a bag containing 2 blues and 9 red marbles and is not replaced.the probability that a second marble selected will also be red is
Answers
Answer:
So the probability of drawing a second red marble is 8 out 10 or 0.8.
Step-by-step explanation:
It seems to me that if one red marble is already gone, there are 8 red marbles left out of a total of 10 marbles.
So the probability of drawing a second red marble is 8 out 10 or 0.8.
Answer:
8/10 or 4/5 or 0.8
Step-by-step explanation:
since one red marble is already taken, there are only eight remaining now and the total number of marbles are ten now. So you have to divide.
Therefore, the probability is 8/10 or 4/5 or 0.8.
STUGO sells hot chocolate and coffee at the high school football games.
At the last game, they had sales of $200. They need to keep track of how
many of each type of drink was sold so that they can make predictions for
future sales. Mrs. Mendoza knows that they used 275 cups that night. If
the hot chocolate sells for 75 cents and coffee sells for 50 cents, how
much of each type of drink were sold?
Answers
Answer:
Number of hot chocolate = 250
Number of coffee = 25
Step-by-step explanation:
Given:
Total income = $200 = 20,000 cents
Number of total item sell = 275
Amount of each hot chocolate = 75 cents
Amount of each coffee = 50 cents
Find:
Number of each drink sold
Computation:
Assume
Number of hot chocolate = x
Number of coffee = 275 - x
So,
Total income = [Number of hot chocolate][Amount of each hot chocolate] + [Number of coffee][Amount of each coffee]
20,000 = [x][75] + [275-x][50]
20,000 = 75x + 13,750 - 50x
x = 250
Number of hot chocolate = 250
Number of coffee = 275 - 250
Number of coffee = 25
Answer: 250 Hot chocolates 25 Coffee
Step-by-step explanation:
En un colegio hay 627 alumnos y sabemos que hay el doble de chicas que de chicos. De las chicas, a todas menos a 15, les gustan mucho las matemáticas. ¿Cuántas chicas disfrutan con las matemáticas en este colegio?
Answers
Answer:
Hay 403 chicas que disfrutan las matemáticas en este colegio.
Step-by-step explanation:
Podemos obtener las siguientes pistas tras una lectura cuidadosa del enunciado:
1) Existen 627 alumnos entre hombres y mujeres en el colegio.
2) La cantidad de chicas es el duplo de la cantidad de chicos.
3) Solo a 15 chicas les disgusta las matemáticas.
Matemáticamente hablando, podemos construir las siguientes tres fórmulas:
[tex]x+y = 627[/tex] (1)
[tex]y = 2\cdot x[/tex] (2)
[tex]m = y - 15[/tex] (3)
Donde:
[tex]x[/tex] - Cantidad de chicos en el colegio, adimensional.
[tex]y[/tex] - Cantidad de chicas en el colegio, adimensional.
[tex]m[/tex] - Cantidad de chicas que disfrutan de las matemáticas en el colegio, adimensional.
Al eliminarse [tex]y[/tex] en (1), se puede hallar la cantidad de chicos en el colegio:
[tex]x + 2\cdot x = 627[/tex]
[tex]3\cdot x = 627[/tex]
[tex]x = 209[/tex]
Hay 209 chicos en el colegio.
Por (2) podemos determinar la cantidad de chicas:
[tex]y = 2\cdot (209)[/tex]
[tex]y = 418[/tex]
Hay 418 chicas en el colegio.
Finalmente, se calcula la cantidad de chicas del colegio que disfrutan las matemáticas por (3):
[tex]m = 418-15[/tex]
[tex]m = 403[/tex]
Hay 403 chicas que disfrutan las matemáticas en este colegio.
Solve for X in the following proportion: 6/33 = 24/x
Answers
Answer:
132
Step-by-step explanation:
We are given the equation 6/33 = 24/x. We would like to solve for x.
To get rid of the fractions, let's multiply both sides by 33x:
(6/33) * 33x = (24/x) * 33x
6x = 24 * 33 = 792
Divide by 6 from both sides:
x = 792/6 = 132
Thus, x = 132.
~ an aesthetics lover
7 = 3t - 3 - 2+ + 6.
Justification: ? property
Answers
Answer:
7 = 3t + 1
t = 6
....................
7 = 3t - 2t + 3
t = 4
The radius of a circle is 4 inches. What is the circle's area?
p=4 in
Use 3.14 for T.
Answers
Answer:
50.27
Step-by-step explanation:
Answer:
50.24
Step-by-step explanation:
[tex]r = 4 \\ \pi = 3.14 \\ area = \pi {r}^{2} [/tex]
Input the values into the equation
[tex]3.14 \times {4}^{2} \\ = 3.14 \times 16 \\ = 50.24[/tex]
Question 3
A sequence of numbers follows the rule: multiply the previous number by-2 and add 3. The fourth term in the sequence is -7.
a. What are the next 3 terms in the sequence? Select Choice
b. What are the 3 terms that came before-7 in the sequence? Select Choice v
Answers
Answer:
(a) The next 3 terms in the sequence are 17, -31, and 65
(b) The 3 terms that came before -7 are 2, -1, and 5
Step-by-step explanation:
a. To determine the next 3 terms in the sequence after -7,
From the question, the sequence follows the rule: multiply the previous number by-2 and add 3.
Then, for the next number after -7, we will get
-7 × -2 = 14; 14 + 3 = 17
For the second number after -7, we will get
17 × -2 = -34; -34 + 3 = -31
For the third number after -7, we will get
-31 × -2 = 62; 62 + 3 = 65
Hence, the next 3 terms are 17, -31, and 65
(b) For the 3 terms that came before -7 in the sequence, the rule will be reversed, that is: subtract 3 from the immediate number and divide by -2
Hence, the previous number to -7 (that is, the third term in the sequence)
-7 -3 = -10; -10 ÷ -2 = 5
Then, the second term will be
5 - 3 = 2; 2 ÷ -2 = -1
and the first term will be
-1 -3 = -4; -4 ÷ -2 = 2
Hence, the 3 terms that came before -7 are 2, -1, and 5
There is a triangular parking lot at the local mall. The second angle of the triangular parking lot is six more than twice as large as the first angle. The third angle is equal to the sum of the other two angles. What are the measures of the three angles?
Answers
Answer:
The measure of the three angles are;
The first angle is 62°
The second angle is 28°
The third angle is 90°
Step-by-step explanation:
The given information are;
The shape of the parking lot = Triangular
Let the angles of the triangle be given as follows
First angle = A
Second angle = B
Third angle = C
The given triangle interior angle dimensions are;
A = 6 + 2× B
C = A + B
However, we have;
A + B + C = 180° (Angle sum property for a triangle)
Therefore;
A + B + C = 180° gives;
C + C = 180° (Transitive property)
2·C = 180°
C = 180°/2 = 90°
C = 90°
However, C = A + B therefore;
90° = A + B and, A = 6 + 2 × B, we get;
A + B = 90° (Symmetric property)
6 + 2× B + B = 90° (Substitution property)
6 + 3·B = 90°
3·B = 90° - 6° = 84°
B = 84°/3 = 28°
B = 28°
From, A = 6 + 2 × B, we have;
A = 6 + 2 × 28° = 62°
A = 62°
First angle = A = 62°
Second angle = B = 28°
Third angle = C = 90°
The measure of the three angles are;
First angle is 62°
Second angle is 28°
Third angle is 90°.
The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (a) how many progressions are possible (b) what are the smallest and largest possble values of the first term?
Answers
Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
Sum of terms:
Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)2020 = 10(2a₁ + 19d)202 = 2a₁ + 19dIn order a₁ to be an integer, d must be even number, so d = 2k
202 = 2a₁ + 38k101 = a₁ + 19kPossible values of k= 1,2,3,4,5
k = 1 ⇒ a₁ = 101 - 19 = 82k = 2 ⇒ a₁ = 101 - 38 = 63k = 3 ⇒ a₁ = 101 - 57 = 44k = 4 ⇒ a₁ = 101 - 76 = 25k = 5 ⇒ a₁ = 101 - 95 = 16As per above,
a) possible progressions are 5b) the smallest and largest possible values of the first term are 16 and 82Answer:
:) not right
Step-by-step explanation:
how to factorise the difference of perfect squares. for the g on the top and j on the top
Answers
Answer:
see explanation
Step-by-step explanation:
A difference of two squares is factored as
a² - b² = (a - b)(a + b)
(g)
1 - 81y²
= 1² - (9y)²
= (1 - 9y)(1 + 9y)
(j)
64x² - 25y²
= (8x)² - (5y)²
= (8x - 5y)(8x + 5y)
F(x)=(x-2)2
X=8
Need answers ASAP
Answers
Answer:
substitute 8 into x =(8-2)2
(6)2=12
Together, Chelsea and Essence have $192. If Chelsea has a third of the amount of money that Essence has, find out how much money each person has individually.
Answers
Answer:
Chelsea has $48, Essence has $144
Step-by-step explanation:
Essence 144
the area of a circle is 32 pi square units find its perimeter
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \bold{ \sf{20.05 \: \pi \: units}}}}}[/tex]
Step-by-step explanation:
Area of a circle ( A ) = 32 π units
Radius of a circle ( r ) = ?
Perimeter of a circle ( P ) = ?
First ,finding the radius of a circle :
[tex] \boxed{ \sf{area \: of \: a \: circle = \: \pi \: {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{32 \: \pi= \: \frac{22}{7} \times {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{32\pi \: = 3.14 {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{3.14 {r}^{2} = 32\pi}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{3.14 {r}^{2} }{3.14} = \frac{32\pi}{3.14} }}[/tex]
[tex] \dashrightarrow{ \sf{ {r}^{2} = 10.19 \: \pi \: }}[/tex]
[tex] \dashrightarrow{ \sf{r = \sqrt{10.19\pi} }}[/tex]
[tex] \dashrightarrow{ \sf{r = 3.19\pi}}[/tex]
Finding the perimeter of a circle ( P )
[tex] \boxed{ \sf{perimeter \: of \: a \: circle = 2\pi \: r \: }}[/tex]
[tex]{\sf{ \: perimeter \: of \: a \: circle = 2 \times \frac{22}{7} \times 3.19 \: \pi}}[/tex]
[tex] \sf{perimeter \: of \: a \: circle = 20.05 \: \pi \:units }[/tex]
Hope I helped!
Best regards! :D
The perimeter of the circle with an area of 32 π square units is 2√32π units.
Given,
The area of a circle is 32 π square units.
We need to find its perimeter.
What is the area of a circle?The area of a circle is given by:
= π r²
The perimeter of a circle is given by:
= 2πr
Where r = radius
Find the area of a circle.
Area = π r²
32 π = π r²
Divide both sides by π
32 = r²
r = ±√32
r can not be negative so we have,
r = √32
Find the perimeter of a circle.
P = 2πr
P = 2 x π x √32
P = 2√32 π units
The perimeter of the circle with an area of 32 π square units is 2√32π units.
Learn more about how to find the circumference of the circle and the area of the circle here:
https://brainly.com/question/14966973
#SPJ2
what would be an example of a plane
Answers
Answer:
A plane extends infinitely in two dimensions. It has no thickness. An example of a plane is a coordinate plane. A plane is named by three points in the plane that are not on the same line.
Step-by-step explanation:
[tex]\bf Step-by-step~explanation:[/tex]
Remember: In math, a plane is a flat, two-dimensional surface that stretches infinitely far in all directions.
An example of a plane would be the photo below.
The purple rectangle is one plane, and the brown one is another one. If there are points there, then they would be on both planes if the points lie exactly on the intersection between the two planes.
We label planes when they have a letter (K, M, etc.), or if there are three non - collinear points on one plane, we take those letters and make them into the plane's name. (ex: Plane AGE, QDE, etc.)
Order of operations
(6+5) +9 =
Answers
Answer:
(6+5)+9=20
Step-by-step explanation:
The ratio teachers to students at a school is 3: 74. There are 2500 students at the school. About how many teachers are at the school?
Answers
Step-by-step explanation:
3:74
x:2500
(3x2500)/74
=101
Answer:
100
Step-by-step explanation:
Which of these represent a whole number? Select all that apply. (There should only be two answers) A. 4 b. 3.2 C. 4/7 D. 8/4
Answers
Answer:
A and D.
Step-by-step explanation:
4 is an integer which is a whole number.
3.2 is a decimal, so it is not a whole number.
4/7 is a fraction that cannot be simplified.
8/4 is a fraction that can be simplified to give 2, a whole number.
What is the area of the rectangle below?
10
13
Answers
Answer:
C, 130
Step-by-step explanation:
Area is just length x width, it would just be 13*10
Answer:
C) 130 sq. units
Step-by-step explanation:
it's what I got
Samantha Ice creamy sold 67 sundaes with nuts and 15 sundaes without nuts what is the ratio of the number of sundaes without nuts to the total number of sundaes
Answers
Answer:
its 15 to 82
Step-by-step explanation:
add 67 and 15 to get 77 add 5
Answer:
15:82
Step-by-step explanation:
15:(67+15) [Because ratio of the number of sundaes without nuts to the total number of sundaes]
=>15:82
If f(x)=3x^2+10, what is f(-7)?
Answers
Answer:
157
Step-by-step explanation:
Find AB given A(-4, 1) and B(3, -1).
Answers
Answer:
d = [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Map of Indiana is being made to a scale of 1/2 in:20 mi. Indianapolis is 120 miles from Fort Wayne how far apart from each other will they appear on this map
Answers
Your answer would be 6 inches.
please help, ASAP!!
Answers
Answer:
The answer should be x ≤ 5
It's a Yes or No question
Answers
Answer:
its a yes i think
Step-by-step explanation:
the value is probably
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices”?
A. Figure A
B. Figure B
Answers
Answer:
Figure A i don't know
Step-by-step explanation:
Answer:
the answer is A. Figure A
I’ll give brainliest pls help me:0
Answers
Answer:
68719476736
Step-by-step explanation:
(4−2)−9
=(4−2)−9
=4(−2)(−9)
=418
=68719476736
Answer:
This is pretty simple, im almost certain you just make all exponents positive.
Step-by-step explanation:
so just make it 4 to the power of 2, to the power of 9
Help me find the slope using the points on the graph below.
Answers
Answer:
3/-4 i think
Step-by-step explanation:
one point is -2/1 and the other 2/-2
1 - -2=3
-2 -2=-4
How can you find the product of four polynomials
Answers
.Answer: When we find the product of any two polynomials, we just multiply each term of the first polynomial by each term of the second polynomial then simplify. When we find the product of two binomials, we can use a technique known as the FOIL method. FOIL is an acronym which stands for First, Outside, Inside and Last.
Step-by-step explanation:
What are the perimeter and the area of the square?
80
200
400
8√5
16√5
32√5
Answers
Answer:
680
8√5=17.8
16√5=75.7
32√5=71.5
Step-by-step explanation:
Given f(x) =
+ 2, find f(0)
Answers
Answer:
B
Step-by-step explanation:
toookt the test dude