The scientific notation of the given number will be equal to 6.48 × 10⁻⁷. Hence, option C is correct.
What is a scientific notation?A way to express numbers that are either too large or too little to be conveniently stated in decimal form is through scientific notation. It is also known as "scientific form" in Britain because researchers, mathematicians, and engineers frequently use it for intricate calculations involving large numbers.
As per the given information in the question,
The given number is,
0.000000648
As we move towards the right of the given point then the power will be in negative form.
So, it can also be written as,
6.48 × 10⁻⁷
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the answer is C:
6.48 × 10−7
I need help with math
Frank's Hardware's store has a rectangular logo with a width of 3.4m
and area 13 square meters, we are to obtain the length,
\(\begin{gathered} \sin ce\text{ Area=L}\times B \\ The\text{ equation becomes;} \\ L=\frac{13}{3.4} \end{gathered}\)The approximation of I = S* cos(x3 - 5) dx using composite Simpson's rule with n= 3 is: 1.01259 3.25498 This option This option W 0.01259 None of the Answers
The approximation of the integral ∫cos(x³ - 5) dx using composite Simpson's rule with n = 3 is approximately 1.01259.
The integral ∫cos(x³ - 5) dx using composite Simpson's rule with n = 3, we need to divide the integration interval into smaller subintervals and apply Simpson's rule to each subinterval.
The formula for composite Simpson's rule is
I ≈ (h/3) × [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 2f(\(x_{n-2}\)) + 4f(\(x_{n-1}\)) + f(\(x_{n}\))]
where h is the step size, n is the number of subintervals, and f(\(x_{i}\)) represents the function value at each subinterval.
In this case, n = 3, so we will have 4 equally-sized subintervals.
Let's assume the lower limit of integration is a and the upper limit is b. We can calculate the step size h as (b - a)/n.
Since the limits of integration are not provided, let's assume a = 0 and b = 1 for simplicity.
Using the formula for composite Simpson's rule, the approximation becomes:
I ≈ (h/3) [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + f(x₄)]
For n = 3, we have four equally spaced subintervals:
x₀ = 0, x₁ = h, x₂ = 2h, x₃ = 3h, x₄ = 4h
Using these values, the approximation becomes:
I ≈ (h/3) × [f(0) + 4f(h) + 2f(2h) + 4f(3h) + f(4h)]
Substituting the function f(x) = cos(x³ - 5):
I ≈ (h/3) [cos((0)³ - 5) + 4cos((h)³ - 5) + 2cos((2h)³ - 5) + 4cos((3h)³ - 5) + cos((4h)³ - 5)]
Now, we need to calculate the step size h and substitute it into the above expression to find the approximation. Since we assumed a = 0 and b = 1, the interval width is 1.
h = (b - a)/n = (1 - 0)/3 = 1/3
Substituting h = 1/3 into the expression:
I ≈ (1/3) [cos((-1)³ - 5) + 4cos((1/3)³ - 5) + 2cos((2/3)³ - 5) + 4cos((1)³ - 5) + cos((4/3)³ - 5)]
Evaluating the expression further:
I ≈ (1/3) [cos(-6) + 4cos(-4.96296) + 2cos(-4.11111) + 4cos(-4) + cos(-3.7037)]
Approximating the values using a calculator, we get:
I ≈ 1.01259
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A researcher is interested in studying exercise and myasthenia gravis. He finds 28 studies which use the same dependent and independent variables and measurement strategies. This allows him to do statistical analysis on the combined data. What kind of analysis has this researcher performed
The researcher in question has performed a meta-analysis. A meta-analysis is a statistical method used to synthesize the findings from multiple studies that have investigated a similar research question using the same variables and measurement strategies. In this case, the researcher is interested in examining the relationship between exercise and myasthenia gravis.
The process of conducting a meta-analysis involves several steps. First, the researcher identifies and selects relevant studies that meet specific criteria, such as using the same dependent and independent variables (in this case, exercise and myasthenia gravis). In this scenario, 28 studies were identified that meet these requirements.
Next, the researcher extracts the relevant data from each study, such as effect sizes, sample sizes, and other important information. This allows the researcher to compare and combine the results of the individual studies into a single, comprehensive statistical analysis.
In summary, the researcher has conducted a meta-analysis to synthesize the results from 28 studies examining the relationship between exercise and myasthenia gravis, allowing for a more comprehensive understanding of the topic.
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maths giving 10 point asap 1 question only
1) y = 6
2) x = 3
3) y = - 2/3
4) x = - 6
Step-by-step explanation:So all we have to do is substitute the known 'variable' and solve for the unknown variable.
1) 2(-3) + 3y = 12
3y = 12 + 6
y = 6
2) 4y = (1/3)x - 5
4(-1) = (1/3)x - 5
(1/3)x = 5 - 4
x = 3
3) (x/3) - 2 = y
(4/3) - (6/3) = y
y = (-2/3)
4) 2(x+1) = 5y
2(x+1) = 5(-2)
2x + 2 = - 10
2x = -12
x = -6
Let X = the score out of 3 points on a randomly selected quiz in a Prob
& Stat course. The table gives the probability distribution of X.
Value
0
1
2
3
Probability
0. 05
0. 15
0. 60
A) Find the missing value for P(X = 1) in the probability distribution.
B) P(X 2 2) =
C) P(X > 2) =
D) The probability of "At least 2" is equivalent to
A. The missing value for P(X = 1) is 0.20.
B. The value of P(X ≤ 2) is 0.85.
C. The value of P(X > 2) is 0.15.
D. The probability of "At least 2" is equivalent to P(X >= 2), which is 0.75.
In probability theory, a probability distribution is a function that assigns probabilities to each possible value of a random variable.
In this Problem, we have a probability distribution for the score on a quiz, with X being the random variable and the table providing the probability of each possible score. In this answer, we will use the given probability distribution to answer the questions posed.
A) Find the missing value for P(X = 1) in the probability distribution.
To find the missing value for P(X = 1), we need to use the fact that the sum of the probabilities for all possible values of X must be equal to 1. Therefore, we can set up an equation:
P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 1
Substituting in the given probabilities, we get:
0.05 + P(X = 1) + 0.60 + 0.15 = 1
Simplifying, we get:
P(X = 1) = 0.20
Therefore, the missing value for P(X = 1) is 0.20.
B) P(X ≤ 2) =
To find P(X ≤ 2), we need to add up the probabilities of X being less than or equal to 2. This is equivalent to:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Substituting in the given probabilities, we get:
P(X ≤ 2) = 0.05 + 0.20 + 0.60 = 0.85
Therefore, P(X ≤ 2) is 0.85.
C) P(X > 2) =
To find P(X > 2), we need to add up the probabilities of X being greater than 2. This is equivalent to:
P(X > 2) = P(X = 3)
Substituting in the given probabilities, we get:
P(X > 2) = 0.15
Therefore, P(X > 2) is 0.15.
D) The probability of "At least 2" is equivalent to P(X >= 2)
To find the probability of "At least 2," we need to add up the probabilities of X being greater than or equal to 2. This is equivalent to:
P(X ≥ 2) = P(X = 2) + P(X = 3)
Substituting in the given probabilities, we get:
P(X ≥ 2) = 0.60 + 0.15 = 0.75
Therefore, the probability of "At least 2" is equivalent to P(X ≥ 2), which is 0.75.
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Surveying 200 likely voters from each group of libertarians, independents, democrats, and republicans is an example of?
Surveying 200 likely voters from each group of libertarians, independents, Democrats, and Republicans is an example of stratified sampling.
The survey conducted, which involves sampling 200 likely voters from each group of libertarians, independents, Democrats, and Republicans, exemplifies stratified sampling. Stratified sampling is a sampling technique where the population is divided into distinct subgroups or strata based on certain characteristics, and then samples are selected from each subgroup in proportion to their representation in the population.
In this case, the four political groups serve as the strata, and by selecting an equal number of likely voters from each group, the survey aims to ensure that each group is adequately represented in the sample. Stratified sampling allows for more accurate analysis and conclusions by considering the characteristics of each subgroup separately, enhancing the overall validity and reliability of the survey results.
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*15 points*
The volume of a rectangular box is 2,592 cubic centimeters. The height of the box is 18 cm. What are the possible length and width of the box?
Answer:
Step-by-step explanation:
V = length * height * width = 18 * length * width
2,592 = 18 * length * width ; divide both sides by 18
144= length * width ; now what 2 numbers multiplied are giving us 144?
1*144 = 144 ; 2*72 = 144 ; 3*48=144 ; 4*36 =144 ; 6*24 = 144 ; 8*18 = 144 ;
9*16 =144 ; 12*12 =144
5, 7, 10 and 11 does not divide 144 into a whole number
possible lengths and widths are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2.5 ONLY PLEASE
For the next five problems, fix any subfield F of C. A straight line CR2 is called F-definable if it has an equation ax +by+c= 0, where a, b, c E F. Similarly, a circle OC R2 is F-definable if it has
In the context of a fixed subfield F of the complex numbers C, a straight line CR2 is called F-definable if its equation ax + by + c = 0 holds with coefficients a, b, c ∈ F. .
When considering a fixed subfield F of the complex numbers C, a straight line CR2 is F-definable if it can be represented by an equation of the form ax + by + c = 0, where a, b, and c are elements of F. In other words, all the coefficients of the equation must come from the subfield F. This condition ensures that the line is defined by points that lie within the subfield.
Similarly, a circle in the complex plane R2 is F-definable if its equation satisfies specific criteria. A circle can be expressed as (x - a)2 + (y - b)2 = r2, where a, b, and r are elements of F. This means that the center coordinates (a, b) and the radius r must all belong to the subfield F for the circle to be F-definable.
In summary, when working with a fixed subfield F of the complex numbers C, a straight line in CR2 is F-definable if its equation can be written with coefficients from F, and a circle in R2 is F-definable if its equation meets the conditions of having center coordinates and radius elements in F. These definitions help determine which lines and circles can be expressed using equations with coefficients from the subfield F.
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which integer is 8 less than +6?
Answer:
-2 I think +6-8=-2
A dietician recommends that a patient increase the daily caloric intake of
1,045 calories by 5% each day,x, until the patient has a new daily caloric intake of at least y calories. Which system of inequalities represents the scenario
Using an exponential function, it is found that the inequalities that represents the scenario is:
\(y \geq 1045(1.05)^x\)
\(x \geq 0\)
What is an exponential function?An increasing exponential function is modeled by:
\(A(t) = A(0)(1 + r)^t\)
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem:
Initial daily caloric intake of 1,045 calories, hence A(0) = 1045.Increased by 5%, hence r = 0.05.We want a new daily caloric intake of at least y calories, hence:
\(y \geq 1045(1.05)^x\)
The number of days is at least 0, hence:
\(x \geq 0\)
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The temperature at the beginning of the day was −2°C. The temperature dropped 7°C by the end of the day. What was the temperature at the end of the day? Use the number line model to find −2−7. -10 -8 -6 -4 -2 0 2 4 6 8 10 x y graph . . . Question content area right Part 1 At the end of the day, the temperature was enter your response here°C.
Answer:
The temperature at the end of the day was -9°C
Step-by-step explanation:
-2 - 7 = -9
Simplify 5(3x+4) Please and thank you!
Answer:
15x+20
Step-by-step explanation:
you multiply 3x×5 and you get 15 and then you multiply 5×4 and you get 20
Please solve if you can!
Answer:
Step-by-step explanation:
1) 76*.67 = 50.9
73 * .33 = 24.1
75% = C
2) .3 * 71 + .3*77+ .4*98=
21.3+23.1+39.2 = 83.6
83.6 = B
3) 73.24 vs. 68.55
hw 88 22 13.2
cp 84 8.4 8.4
test 59 23.6 35.4
fe 77 19.25 11.55
tats ester
totals = 73.24 68.55
Which statement is true?
f 0.09>78
g 8.0×10-3>6%
h 78<8.0×10-3
j 6%<0.09
Answer:h
Step-by-step explanation:
Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?
Answer:
13 9/14
Step-by-step explanation:
Add the blue + red fabric
1. Make the denominator the same
6 7/14 + 7 2/14
2. Add
6 7/14 + 7 2/14 = 13 9/14
Answer:
13 9/14
Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest
Solve for X
-2(5x-5.5) + 8= -9x+2-(-5)
Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesCombining Like TermsStep-by-step explanation:
Step 1: Define
-2(5x - 5.5) + 8 = -9x + 2 - (-5)
Step 2: Solve for x
Distribute: -10x + 11 + 8 = -9x + 2 + 5Combine like terms: -10x + 19 = -9x + 7Add 10x to both sides: 19 = x + 7Subtract 7 on both sides: 12 = xRewrite: x = 12 In a pizza dough recipe, the volume of water before mixing is 25% of the total ingredient volume. Which equation represents the relationship between the volume of water and the total volume of all ingredients? 1 (Let w represent the volume of water, and let t represent the total volume of all ingredients.)
a) t = 0.2w
b)t = 0.25w
c) = 4w
d) = 5w
The equation that relates the volume of water and the total ingredient volume is the one in option C, it is written as:
t = 4*w
Which equation represents the relationship?So we know that the volume of water before mixing is 25% of the total ingredient volume.
So if we define the variables:
w = volume of watert = total volume of ingredients.Then we know that w is equal to the 25% of t.
Then the relation can be written as:
w = (25%/100%)*t
Where we divide the percentage by 100% so we write a decimal number instead of a percentage.
Now we can simply it so we get:
w = (25%/100%)*t
w = 0.25*t
Now we can isolate t to get:
t = (1/0.25)*w
t = 4*w
So the correct option is C.
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Your friend operates a business and has the following demand curve. Complete the table, and use the information provided to find your friend’s profit-maximizing price and level of output
A demand curve shows the quantity demanded of a product at each price.
What is a demand curve?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
A demand curve simply means a graphical representation of the relationship between price and quantity demanded.
In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.
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The profit-maximizing price is when the marginal cost equals marginal revenue.
An individual’s utility-maximizing choices can lead to a demand curve.
What is the demand curve?Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.
In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.
The marginal decision rule—generally produce downward-sloping demand curves.
This section shows how an individual’s utility-maximizing choices can lead to a demand curve.
Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.
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HELP ASAP PLEASE!!!!!!!!!!!!!
Step-by-step explanation:
-2=--4(1)+b
I gotchuu
(Help quickly!) The point (6, −17) was reflected over an axis to (−6, −17). Which axis was it reflected over? Explain.
x-axis, because the x-coordinate is the opposite
y-axis, because the x-coordinate is the opposite
y-axis, because the y-coordinate is the opposite
x-axis, because the y-coordinate is the opposite
Answer: B: y-axis, because the x-coordinate is the opposite
Step-by-step explanation:
If the x coordinate is negative, it must have been reflected over the y axis.
likewise, if the y coordinate is negative, it must have been reflected over the x axes.
it should make intuitive sense :)
Answer:b
Step-by-step explanation:
how would i solve number 60
Answer:
you would solve it by using the factoring method or the quadratic formula
1. 3x²y2 + 3x y2 + 5xy
Degree:
(Fill in the blank with monomial, binomial, or trinomial)
Answer:
Answer is trinomial
Step-by-step explanation:
degree:3x^2 y2 +3xy2 + 5xy
=the degree of first term = 4
= the degree of second term=3
= the degree of third term = 3
:. the degree = 4
the answer is 4
A triangular prism is 11.2 meters long and has a triangular face with a base of 11 meters and
a height of 11 meters. What is the volume of the triangular prism?
cubic meters
Answer:
The volume of the triangular prism is 677.6 cubic meters.
Step-by-step explanation:
The formula for the volume of a triangular prism is:
\(\sf\qquad\dashrightarrow Volume \: (V) = \dfrac{1}{2} \times b\times h \times l \)
where:
b is the base of the triangular faceh is the height of the triangular facel is the length of the prismSubstituting the given values, we have:
\(\sf:\implies Volume \: (V) = \dfrac{1}{2} \times 11 \times 11 \times 11.2\)
\(\sf:\implies \boxed{\bold{\:\:Volume \: (V) = 677.6\: meters^3\:\:}}\:\:\:\green{\checkmark}\)
Therefore, the volume of the triangular prism is 677.6 cubic meters.
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. The internal telephone numbers in the phone system on a campus consist of five digits, with the first digit not equal to zero. How many different numbers can be assigned in this system
Answer:
49
Step-by-step explanation:
(4 × 10) + 9
= 49
write this number in scientific notation 56,700,000
Answer:5.67* 10^7
Step-by-step explanation:
∠A and angle B∠ are complementary angles. if m∠A=(4x+6)
∘
and m ∠B = (4x-4)∘
, then find the measure of∠A
Answer:
m∡A = 50°
Step-by-step explanation:
since they are complementary they must equal 90°
4x+6 + 4x-4 = 90
8x + 2 = 90
8x = 88
x = 11
∡A = 4(11)+6 = 44+6 = 50
the probability that a woman with two children either has two girls or two boys is 0.5048. what is the probability that she has one child of each sex? (give the answer to four decimal places.)
The probability that a woman is having one child of each sex is 0.2548.
The probability of having two children of the same gender (either both girls or both boys) can be calculated by multiplying the probability of having a girl or a boy is (which is 1/2 or 0.5) by itself twice, as each child is independent of the other:
0.5 × 0.5 = 0.25 (probability of having either two girls or two boys)
Since the total probability of having two girls or two boys is 0.5048 as given in the question, the probability of having one child of each sex is: 0.5048 - 0.25 = 0.2548.
Therefore, the probability that a woman with two children has one child of each sex is 0.2548
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8 balls are drawn with replacement from a bag containing 4 red balls and 6 black balls. (Round your answers to five decimal places.)
(a) Find the probability that 4 of the balls will be red.
(b) Find the probability that all 8 balls will be black.
(c) Find the probability that at least 6 of the balls will be black.
a. the probability of drawing 4 red balls out of 8 is given by the binomial distribution 0.08808. b. the probability that all 8 balls will be black is 0.16796. c. the probability that at least 6 of the balls will be black is 0.67127.
(a) The probability that a red ball is drawn is 4/10 and the probability that a black ball is drawn is 6/10. Since the balls are drawn with replacement, the probability of drawing 4 red balls out of 8 is given by the binomial distribution:
P(4 red balls) = (8 choose 4) * (4/10)^4 * (6/10)^4
= 0.08808
So the probability that 4 of the balls will be red is 0.08808.
(b) Since there are only 2 colors, the probability of drawing a black ball is 6/10. So the probability of drawing 8 black balls out of 8 is:
P(8 black balls) = (6/10)^8
= 0.16796
So the probability that all 8 balls will be black is 0.16796.
(c) The probability of drawing at least 6 black balls is the sum of the probabilities of drawing 6, 7, or 8 black balls:
P(at least 6 black balls) = P(6 black balls) + P(7 black balls) + P(8 black balls)
To find each of these probabilities, we can use the binomial distribution:
P(6 black balls) = (8 choose 6) * (6/10)^6 * (4/10)^2
= 0.30199
P(7 black balls) = (8 choose 7) * (6/10)^7 * (4/10)^1
= 0.20132
P(8 black balls) = (8 choose 8) * (6/10)^8 * (4/10)^0
= 0.16796
So:
P(at least 6 black balls) = 0.30199 + 0.20132 + 0.16796
= 0.67127
Therefore, the probability that at least 6 of the balls will be black is 0.67127.
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In the image below, the m
Answer:
67°.
Step-by-step explanation:
1) m∠PMR=m∠LMN=3x+19°;
2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;
3) if to solve the equation 3x+19+9x-31=180, then x=16;
4) m∠PMR=3x+19=48+19=67°.
Can somebody plz help answer these word prob questions plz thanks! (Grade7math( btw :)
WILL MARK BRAINLIEST WHOEVER ANSWER FIRST :DDD
Answer:
3:1
8:5
Step-by-step explanation: