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Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation.
(4.3x10^6).(9.8x10^-4)
(2.9x10^7)-(1.6x10^–9)
(4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
(4.9x10^3).(74x10^–6)
(3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
Answers
Answer:
3,4,2,5,1. youre welcome :)
The arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is as follows:
Order Mathematical expressions
1. 3. (4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
2. 4. (4.9x10^3).(74x10^–6)
3. 2. (2.9x10^7)-(1.6x10^–9)
4. 5. (3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
5. 1. (4.3x10^6).(9.8x10^-4)
What are mathematical expressions?Mathematical expressions are a combination of numbers, variables, and functions (for example, addition, subtraction, multiplication, or division, etc.) to state complete mathematical thoughts.
Mathematical expressions can be likened to grammatical phrases. In linguistics, a phrase, which may include an action, but it does not make a complete sentence without being combined with other phrases.
Data:1. (4.3x10^6).(9.8x10^-4)
2. (2.9x10^7)-(1.6x10^–9)
3. (4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
4. (4.9x10^3).(74x10^–6)
5. (3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
Thus, the arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is 3, 4, 2, 5, and 1.
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Related Questions
The point (0, 5) lies on a circle with the center at (0, 0). What is the area of the circle?
Answers
A = 2*pi*5^2
A = 2*pi*25
A = 50pi or 157.1
Técnica de conteo en estadística 6. Regla multiplicativa. Para el experimento de un lanzamiento de dado y sacar una carta de una baraja de Poker (52 cartas). a. Calcule la cantidad de elementos del espacio muestral. b. Calcula la probabilidad de que salga un número par en el dado un AS en la baraja.
Answers
Answer:
Para el punto a. tenemos 312 elementos en el espacio muestral
Para el punto b. la probabilidad pedida es [tex]\frac{1}{26}[/tex]
Step-by-step explanation:
Comencemos explicando el principio de multiplicación. Supongamos que se tiene un experimento por etapas, es decir, una primera etapa que se puede llevar a cabo de '' [tex]x_{1}[/tex] '' maneras distintas, una segunda etapa que se puede llevar a cabo de '' [tex]x_{2}[/tex] '' maneras distintas y así sucesivamente hasta una etapa final que se puede llevar a cabo de '' [tex]x_{n}[/tex] '' maneras distintas. La cantidad total de formas de desarrollar todo el experimento se puede calcular como el producto de las distintas maneras en que se puede ejecutar cada etapa :
Formas de desarrollar todo el experimento = [tex]x_{1}x_{2}[/tex] ... [tex]x_{n}[/tex]
Para el punto a. del ejercicio vamos a utilizar este principio para calcular la cantidad de elementos del espacio muestral. La primera etapa del experimento sería el lanzamiento del dado y una segunda etapa el sacar una carta de una baraja de poker (52 cartas distintas). Entonces, para un dado tenemos 6 posibles opciones y cuando sacamos una carta podemos obtener 52 resultados distintos. Por lo tanto ⇒
[tex](6)(52)=312[/tex]
Tenemos un total de 312 elementos en el espacio muestral (todos distintos) y con la misma probabilidad de ocurrencia ya que suponemos que en el dado tenemos la misma probabilidad de obtener un uno, un dos, etc; así como en la baraja tenemos la misma probabilidad de sacar cada una de las cartas.
Para el punto b. utilizaremos el hecho de que estamos frente a un espacio muestral equiprobable y calcularemos la probabilidad del evento ''sale un número par en el dado y un AS en la baraja'' contando los casos favorables a este evento y dividiendo por la cantidad de elementos totales del espacio muestral. Podremos hacerlo de esta manera ya que el espacio muestral es equiprobable. Definimos para ello
[tex]A:[/tex] ''Sale un número par en el dado y un AS en la baraja''
[tex]P(A)=\frac{CasosFavorablesAlEventoA}{CasosTotales}[/tex]
Los casos totales son 312 (calculados en el inciso a.)
Los casos favorables al evento A se pueden escribir utilizando el principio de multiplicación como
[tex](3)(4)=12[/tex]
El 3 es por los tres números pares que podemos obtener del dado (estos números son el dos, cuatro y el seis).
El 4 se debe a la cantidad de ases en una baraja de Póker de 52 cartas (estos son el as de corazones, el as de picas, el as de trébol y el as de diamantes).
Reemplazando en la expresión de [tex]P(A)[/tex] obtenemos :
[tex]P(A)=\frac{12}{312}=\frac{1}{26}[/tex]
Otra forma de haber calculado esta probabilidad es utilizando el hecho de que tirar el dado y sacar una carta de la baraja son dos eventos independientes. Por ende, la probabilidad se puede calcular como el producto de la probabilidad parcial de cada evento. Esto es :
B : ''Sale un número par en el dado''
C : ''Saco un as en la baraja''
[tex]P(B)=\frac{3}{6}=\frac{1}{2}[/tex]
Tres casos favorables a que salga un número par de seis posibles.
[tex]P(C)=\frac{4}{52}[/tex]
Cuatro casos favorables a obtener un as de la baraja de 52 casos posibles.
Ahora escribimos
P ( B ∩ C ) = P(B).P(C)
Por ser B y C dos eventos independientes. Entonces
[tex]P(B)P(C)=(\frac{1}{2})(\frac{4}{52})=\frac{1}{26}[/tex]
Obteniéndose la misma probabilidad ya calculada.
Z= [?]° i dont know how to type out the question
Answers
Answer: first u have to find the perimiter for each side
Step-by-step explanation:
the answer is 100 d z
HELP ASAP PLS
Find the volume
Answers
Answer:
637 in^3
Step-by-step explanation:
V=(BxH)/2
V=((13x7) x 14)/2
V=(91x14)/2
V=1274/2
V=637 in^3
To find the volume of a square-based pyramid, you use this equation:
1/3 x base area x height
Substitute in the values.
1/3 x (13 x 7) x 14
= 424.6 in2
Line s passes through the points (3,4) and (2,1).line t passes through the point (4,2) and is parallel to line s.
What is the equation for line t
Answers
Answer:
y=3x-10
Step-by-step explanation:
first, we need to find the slope of line s, as that will determine the slope of line t
the formula for the slope calculated from 2 points is (y2-y1)/(x2-x1)
we can label the points for (3,4) and (2,1)
x1=3
y1=4
x2=2
y2=1
substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(1-4)/(2-3)
m=-3/-1
m=3/1
m=3
the slope of line s is 3
as said above, parallel lines have the same slope, but different y intercepts.
that means that line t will have the same slope as line s (3).
typically, lines are written in the form y=mx+b, where m is the slope and b is the y intercept
here's what is line t so far:
y=3x+b
we need to find b
because the line passes through the point (4,2), we can use it to solve for b
plug 4 in as x and 2 as y
2=3(4)+b
2=12+b
-10=b
so that means that b is -10
therefore the equation for line t is y=3x-10
Hope this helps! Good luck on your assignment!
Find the interet and total amount due on 1200 after 1 year 5 month at a rate
of interet of 4% p. A
Answers
Total interest earned = 68
Total amount collected = 1268
What is simple Interest ?Simple interest is a way to figure out how much interest will be paid on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the following year's principal to compute interest, the principal amount under simple interest remains constant.
Simple interest is a quick and simple approach to figure out how much money has accrued interest. Interest is always applied to the initial principle amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount. Simple interest is one of several forms of interest that banks charge. Now, let's first clarify what a loan is before delving further into the idea of simple interest.
Since nothiong mentioned the interest is considered simple
Total amount = 1200 (principal)
Time = 1 year 5 month = [tex]1\frac{5}{12} = \frac{17}{12}[/tex]
rate = 4 %
Total interest earned = [tex]\frac{1200 * 4 * \frac{17}{12} }{100}[/tex] = 68
Total amount generated = 1200 + 68 = 1268.
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A quadrilateral
is a polygon with four sides. Consider
the quadrilateral and the dashed segment. What is the sum
of the measures of the four interior angles of this quadrilateral?
Draw a different quadrilateral. Can you guess the sum
of the measures of its angles? Is it possible to generalize about
the angles of a quadrilateral?
Answers
Whatever the case a quadrilateral has always a sum of interior angles = 360°.
What is quadrilateral?A quadrilateral is a closed shape in geometry that is created by connecting four points, any three of which cannot be collinear. A quadrilateral has four sides, four angles, and four vertices. The word "quadrilateral" is derived from the Latin words "quadra" (four) and "latus" (sides). A quadrilateral may or may not have equal lengths on each of its four sides.
A quadrilateral is a polygon with four sides, four angles, and four vertices. The arrangement of the vertices must be considered whenever a quadrilateral is named. For instance, the following quadrilateral should be referred to as ABCD, BCDA, ADCB, or DCBA. Since they alter the order of vertices in which a quadrilateral is formed, it cannot be called ACBD or DBAC.
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trigonometry, please help thanks
Answers
Answer:
x = 3.25 m
Step-by-step explanation:
First, find the height of the triangle using sin31:
sin 31 = h/9 ---> h = 9sin31 = 4.64 m
Next, we can now solve for x using tan55:
tan 55 = h/x --> x = (4.64 m)/(tan 55) = 3.25 m
Brady took 80 shots on his pop- a- shot basketball hoop . If he made 90%of his shots into the basket, how many shots did he make
Answers
Answer: Brady made 72 shots
Step-by-step explanation:
Number of shots taken on his pop- a- shot basketball hoop=80
Percentage of shots made into the basket=90%
Number of shots made into the basket= 90% x 80
= 90/100 x 80
= 72
PLEASE HELP ME THIS IS DUE TODAY AND I WILL MARK BRAINLEST.
which graph represents a function?
Answers
Answer:
first graph is a function
Step-by-step explanation:
If you know the answer to this question please help!! 7th grade math
Answers
Answer: obtuse
Step-by-step explanation:
What is the volume of the rectangular prism?
Answers
Answer:
200
Step-by-step explanation:
PLEASE HELP !! WILL MARK BRAINLIEST
Answers
Answer:
(8,-2)
Step-by-step explanation:
solve for the missing side length in this triangle
Answers
Answer:
10 and 24units
Step-by-step explanation:
Pythagoras' TheoremPythagoras' Theorem applies to right angle triangles with the formula:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is the longest side, with a and b the shorter ones (interchangable)
SolutionWith the parameters given from the question and the formula given as well, we can find the value of x and therefore the side lengths.
By Pythagoras' Theorem,
[tex] {26}^{2} = ( {5x)}^{2} + ( {12x)}^{2} \\ 676 = 25 {x}^{2} + 144 {x}^{2} \\ 169 {x}^{2} = 676 \\ {x}^{2} = 676 \div 169 \\ {x}^{2} = 4 \\ x = \sqrt{4} \\ = 2[/tex]
Now we can find the side lengths.
[tex]5x = 5(2) = 10units \\ 12x = 12(2) = 24units[/tex]
Therefore the side lengths are 10 and 24 units.
IF YOU KNOW SPANISH AND ALGEBRA PLEASE HELP
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A:
f(x) = -x² + 4x - 10
f(2) = -(2)² + 4(2) - 10
f(2) = -4 + 8 - 10
f(2) = 4 - 10
f(2) = -6
Part B:
g(x) = 5x + 1
g(6) = 5(6) + 1
g(6) = 30 + 1
g(6) = 31
Part C:
f(x) = -x² + 4x - 10
f(-1) = -(-1)² + 4(-1) - 10
f(-1) = -1 - 4 - 10
f(-1) = -5 - 10
f(-1) = -15
Part D:
g(x) = 5x + 1
16 = 5x + 1
15 = 5x
3 = x
x = 3
You have decided to purchase a car for $25,625. The credit union requires a 10% down payment and will finance the balance with a 9% annual interest loan for 36 months. The sales tax in your city is 7.5%, and the license and title charges are $175.13. What is the total purchase price of the car including tax, license, and title? Round your answer to the nearest cent.
Answers
9514 1404 393
Answer:
total purchase price: $27,722.01
Step-by-step explanation:
The price of the car plus tax is ...
$25,625 × (1 +7.5%) = $27,546.88
Adding license and title charges brings the total to ...
$27,546.88 +175.13 = $27,722.01 . . . total purchase price
_____
Additional comment
10% of that, or $2,772.20, will be the required down payment, leaving a balance due of $24,949.81. The payments on a 36-month loan at 9% will be $793.40, for a total loan cost of $28,562.30. Then the full cost of the car, including financing, is $31,334.50. The cost of the financing is $3,612.49.
Unit sales for new product ABC have varied in the first seven months of this year as follows: Feb 285 Mar Apr May Jun Jul Month Jan 314 158 482 284 310 281 Unit Sales What is the (population) standard deviation of the data? Please round your answer to the nearest integer. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel
Answers
The population standard deviation of the data is 111.
1. Find the mean of the data:
Mean = (314 + 158 + 482 + 284 + 310 + 281) / 6 = 1029 / 6 = 171.5
2. Find the difference between each data point and the mean:
Feb: (314 - 171.5) = 142.5
Mar: (158 - 171.5) = -13.5
Apr: (482 - 171.5) = 310.5
May: (284 - 171.5) = 112.5
Jun: (310 - 171.5) = 138.5
Jul: (281 - 171.5) = 109.5
3. Square each of the differences:
Feb: (142.5)^2 = 20,312.5
Mar: (-13.5)^2 = 182.25
Apr: (310.5)^2 = 95,822.25
May: (112.5)^2 = 12,656.25
Jun: (138.5)^2 = 19,082.25
Jul: (109.5)^2 = 11,982.25
4. Sum all of the squared differences:
20,312.5 + 182.25 + 95,822.25 + 12,656.25 + 19,082.25 + 11,982.25 = 149,047.5
5. Divide the sum of the squared differences by the number of data points minus one:
149,047.5 / (6 - 1) = 149,047.5 / 5 = 29,809.5
Square root of 29,809.5 = 111 (rounded to the nearest integer)
Therefore, the population standard deviation of the data is 111.
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You know that 4 movie tickets in Virginia plus 5 movie tickets in Maryland cost $77. You also know that 8 movie tickets in Virginia plus 3 movie tickets in Maryland cost $91. How much does a ticket in Virginia cost?
Answers
The cost of one ticket in Virginia is $8
What is a system of linear equations?A System of Linear Equations is when we have two or more linear equations working together.
Given that, 4 movie tickets in Virginia plus 5 movie tickets in Maryland cost $77, Also know that 8 movie tickets in Virginia plus 3 movie tickets in Maryland cost $91.
To find the cost of a ticket in Virginia we will establish a system of linear equations and then solve them,
Let V represents the cost in Virginia that of in Maryland be M
Therefore,
4v+5m = 77.......(i)
8v+3m = 91........(ii)
Multiplying the equation eq(i) by 2 and subtracting eq(ii) from eq(i) [Elimination]
(8v+10m = 154) - (8v+3m = 91)
7m = 63
m = 9
Put m = 9 in eq(i)
4v+5(9) = 77
4v = 77-45
4v = 32
v = 8
Hence, Each ticket in Virginia and Maryland costs $8 and $9 respectively.
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Determine which point from the specified that satisfies each system of equations
Answers
The required point that satisfies each system of equation is (12, -1). Option B is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
To equations are given as,
y = -1/3x + 3 - - - - (1)
y = -3/4x + 8 -- - - - (2)
From equation 1 and 2
-1/3x + 3 = -3/4x + 8
3/4x - 1/3x = 8 - 3
9x - 4x / 12 = 5
5x = 60
x = 12
Now, to evaluate the y ordinate put the above x in equation 1
y = -1/3(12) + 3
y = -4 + 3
y = -1
Thus, the required point that satisfies each system of equation is (12, -1). Option B is correct.
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find the distance between the points (-2,8) and (7,13) on a corrdiante plane
Answers
Answer: d = √(5² + 9²) = √106, or approximately 10.3 units.
A Cone and Cylinder have the same radius and height. If the Cylinder’s volume is 363 cm3 . What is the Cone’s volume?
Answers
ok um 213=89Step-by-step explanation:ummmmmmmmmm
Use the distributive property to simplify 5( x + 3).
(A). 8 x
(B). 5 x + 3
(C). 5 x + 8
(D). 5 x + 15
Answers
Answer:
D) 5x+15
Step-by-step explanation:
5×x+5×3
5x+15
plz mark as brainliest
SOMEONE PLS PLS HELP ME
Answers
Answer:
6
Step-by-step explanation:
I counted
b)
What is the Lowest Common Multiple of 42 and 90?
Answers
Answer:
630
Step-by-step explanation:
you can search it up if you want.
Answer:
630
Step-by-step explanation:
Graph the line that passes through the points (8, -3) and (4, 1) and
determine the equation of the line.
Answers
Answer:
y = -x + 5
Step-by-step explanation:
The equation is y= mx + b
m = the slope or rise/run or (y2 - y1) / (x2 - x1)
b = y-intercept
The slope here is -1, and the y-intercept is 5, so our equation is
y = -x + 5
solve -2.3 - (4.5-3.5)
Answers
Answer:
-3.3
Step-by-step explanation:
-2.3 - (4.5-3.5)
-2.3 - (1.)
-3.3
what is pie over 2 pls this is needed now
big reward
Answers
find the gradient of a line passing through each of the following pair of points (0,-5) and (6,3)
Answers
(0,-5) => (x1,y1)
(6,3) => (x2,y2)
Now plug into the formula,
m=(3-(-5))/(6-0) => (3+5)/(6-0) => 8/6 => 4/3
Thus, the gradient (slope) of the line passing through the two given points is, m=4/3
Can you pls help me
Answers
How do you solve 2 polynomial equations?
Answers
The steps to solve two polynomial equations are given below.
What is polynomial?
A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
x^2 + 4x + 7 is an illustration of a polynomial with a single indeterminate x.
Apply the Zero Factor Property to an Equation Solving.
ZERO. FACTOR, write the equation with one side equal to zero. the expression by a factor.
PROPERTY. Solve the equation by setting each factor to zero.
Check by adding substitutes to the initial equation.
Write a polynomial equation in standard form before attempting to solve it. Factor it, then set each variable factor to zero once it has reached zero. The original equations' solutions are the solutions to the resulting equations. Factoring cannot always be used to solve polynomial equations.
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