Write 2.71x10-3 as an ordinary number.
Answers
Step-by-step explanation:
\( {2.71 \times 10}^{ - 3} \)
This can be rewritten as
\(2.71 \times \frac{1}{10^{3} } \)
If we will solve this way,
\(\frac{2.71}{1000} = 0.00271\)
But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.
From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.
If the exponent has a positive value, move TO THE RIGHT.
For example,
\(2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710\)
Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.
Related Questions
help please i dont understand will mark brainlyist
Answers
Answer:
Its D
Step-by-step explanation:
Its D because each one is multiplied by 16
please help me!!!!!!
Answers
The line of reflection of the given image is:
A reflection across y = -3
What is the Line of Reflection?A line of reflection is a line that lies between two identical mirror images, so the distance of any point of one figure from the line will equal the distance of the same point of the mirror image (flipped figure).
The definition above tells us that if we are given two images, such as mirror images of each other, the line of reflection can be determined by calculating the midpoint from any two points of the figures.
Looking at the given image, the center point of the mirror images is seen as y = -3
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The area of a square window is the same as the area of a rectangular window that is 16 in. Long and 4 in. Wide write and solve an equation to find the side length of the square window show your work
Answers
Answer:
Step-by-step explanation:
Let x be the side length of the square window. Then the area of the square window is x^2, and the area of the rectangular window is 16 * 4 = 64.
We can write the equation:
x^2 = 64
To solve for x, we can take the square root of both sides:
x = √64
x = 8
Therefore, the side length of the square window is 8 inches.
Arianys is going to invest $11,000 and leave it in an account for 9
years. Assuming the interest is compounded monthly, what interest
rate, to the nearest hundredth of a percent, would be required in order
for Arianys to end up with $20,000?
Answers
The compound interest rate of the investment is 1.10%
How to determine the compound interest rate?The given parameters about the compound interest are
Principal, P = $11,000
Amount, A = $20,000
Time, t = 9
Number of times, n = 12 i.e. monthly interest
To calculate the amount, we have:
A = P(1 + R/n)^nt
Substitute the known values in the above equation, so, we have the following representation
20000 = 11000 * (1 + r/12)^(12 * 9)
This gives
1.82 = (1 + r/12)^108
Take the 108th root of both sides
1 + r/2 = 1.0055
Subtract 1 from both sides
r/2 = 0.0055
Multiply by 2
r = 0.011
Express as percentage
r = 1.10%
Hence, the value of the interest rate is 1.10%
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Answer:
6.66%
Step-by-step explanation:
Compounded Monthly:
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=
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(
1
+
�
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�
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A=P(1+
n
r
)
nt
Compound interest formula
�
=
20000
�
=
11000
�
=
9
�
=
12
A=20000P=11000t=9n=12
Given values
20000
=
20000=
11000
(
1
+
�
12
)
12
(
9
)
11000(1+
12
r
)
12(9)
Plug in values
20000
=
20000=
11000
(
1
+
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12
)
108
11000(1+
12
r
)
108
Multiply
20000
11000
=
11000
20000
=
11000
(
1
+
�
12
)
108
11000
11000
11000(1+
12
r
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108
Divide by 11000
1.8181818
=
1.8181818=
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1
+
�
12
)
108
(1+
12
r
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108
(
1.8181818
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1
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=
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[(1+
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Raise both sides to 1/108 power
1.0055509
=
1.0055509=
1
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1
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Subtract 1
0.0055509
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Multiply by 12
0.0666108
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Convert to percent (multiply by 100)
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6.66%
Round to the nearest hundredth of a percent
The width of a casing for a door is normally distributed with a mean of 24 in and a standard deviation of 0.14 in. The width of a door is normally distributed with a mean of 23.87 in and a standard deviation of 0.08 in. Assume independence of the two widths. Find the probability that the width of the casing exceeds the width of the door by more than 0.25 in.
Answers
Answer:
0.2296 = 22.96% probability that the width of the casing exceeds the width of the door by more than 0.25 in.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
The width of a casing for a door is normally distributed with a mean of 24 in and a standard deviation of 0.14 in.
This means that \(\mu_{C} = 24, \sigma_{C} = 0.14\)
The width of a door is normally distributed with a mean of 23.87 in and a standard deviation of 0.08 in.
This means that \(\mu_{D} = 23.87, \sigma_{D} = 0.08\).
Find the probability that the width of the casing exceeds the width of the door by more than 0.25 in?
This is P(C - D > 0.25).
Distribution C - D:
The mean is:
\(\mu = \mu_{C} - \mu_{D} = 24 - 23.87 = 0.13\)
The standard deviation is:
\(\sigma = \sqrt{\sigma_{C}^2+\sigma_{D}^2} = \sqrt{0.14^2+0.08^2} = 0.1612\)
Probability:
This probability is 1 subtracted by the pvalue of Z when X = 0.25. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{0.25 - 0.13}{0.1612}\)
\(Z = 0.74\)
\(Z = 0.74\) has a pvalue of 0.7704
1 - 0.7704 = 0.2296
0.2296 = 22.96% probability that the width of the casing exceeds the width of the door by more than 0.25 in.
Write the sentence as an equation.
a is equal to 3 decreased by q
Answers
Answer:
a = 3 - q
Step-by-step explanation:
a is equal ( a = ) to 3 ( a = 3 ) decreased by q ( a = 3 - q ).
Hopefully this helps!
Brainliest please?
Identify the hypothesis and conclusion of the conditional.If the measure of an angle is greater than 90 degrees, then it is obtuse.
Answers
Obtuse angles are those that have a measure greater than 90 degrees.
What is meant by the term hypothesis?A logic statement's "skeleton" is typically:
If "something" is true, "this is also true."
The proper method for writing this is:
If "hypothesis," then "conclusion."
Or
"Conclusion" if only "hypothesis" is present.
There are various ways to compose a logical statement, but this is good starting point.
The hypothesis is indeed the part of a logical statement that provides the premise for the conclusion.
In our statement, we now have:
An obtuse angle is one that measures 90 degrees.
Thus, the premise here is "an angle measures 90°," which must be true "first" in order to move forward to the conclusion.
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At Denver international airport, 85% of recent flights have arrived in time. A sample of 11 flights is studied.
Answers
Answer:
Step-by-step explanation:
If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.
This can be solved by:
(0.85x11)= 9.35
Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.
The final answer= 9 flights
ayoo someone help its kinda ✨confusing✨
Answers
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
i hope it help
Answer:It’s 6 ... 6/7-3/8=27/56
Hope these helps!!! :)
Step-by-step explanation:
3 1/2 inches so what is the area of this circle?
Answers
Answer:
19.6 in²
Step-by-step explanation:
area of circle = π r²
= π (3 1/2)²
= π (5/2)²
= π 25/4
= 22/7 x 25/4
= 275/14
=19.6 in²
Please solve this with clear steps!!!!! 20 POINTS
Answers
The width of the river using the similar triangle is 43.3 metres.
How to find the width of the river?The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.
Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Hence, let's find the width of the river.
Therefore,
18.6 / 34.2 = AB / 79.6
cross multiply
18.6 × 79.6 = 34.2 AB
34.2 AB = 1480.56
divide both sides of the equation by 34.2
AB = 1480.56 / 34.2
AB = 43.2912280702
AB = 43.3 metres
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Simplify all ratios and keep them as improper fractions
If arc cos = -8/17 and arc sin is negative, then arcsin is _____ and arctan is ______
Answers
To find arcsin, we need to use the identity:
sin(arcsin(x)) = x
Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:
sin(arcsin) = -sqrt(1 - (cos)^2)
where (cos)^2 = 8/17
Substituting, we get:
sin(arcsin) = -sqrt(1 - (8/17))
Simplifying, we get:
sin(arcsin) = -sqrt(17/17 - 8/17)
Simplifying further, we get:
sin(arcsin) = -sqrt(9/17)
Therefore, arcsin = -sqrt(9/17)
To find arctan, we need to use the identity:
tan(arctan(x)) = x
Substituting, we get:
tan(arctan) = -8/17
Therefore, arctan = -8/17
So, arcsin is -sqrt(9/17) and arctan is -8/17.
Two cubes have sides of length 5 cm and 6cm. What is the ratio of their respective surface areas?
Answers
If two cubes have sides of length 5 cm and 6cm. The ratio of their respective surface areas is 36 : 25.
How to find the ratio of the surface area?Using this formula to find the ratio
Ratio of their surface area = a /a'
Where:
a = 6
a' =5
Let plug in the formula
Ratio of their surface area = 6a² /6a'²
Ratio of their surface area = 6(6)² / 6(5)²
Ratio of their surface area = 36 / 25
Ratio of their surface area = 36 : 25
Therefore the ratio is 36 : 25.
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not allowed
The table shows information about the masses of some dogs.
a) Work out the minimum number of dogs that could have a mass of more than
26 kg.
b) Work out the maximum number of dogs that could have a mass of more than
26 kg.
Mass, x (kg)
0≤x≤10
10≤x≤20
20≤x≤30
30 < 10
Frequency
8
11
5
Answers
Based on the frequency table given,
a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.
b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.
How is this so?The frequency table displays the number of times each value, or range of values, appears in the data-set.
where 11 weights are between 20 and 30, and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.
This implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.
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If the price of a product is p (dollars), the number of units demanded is given by the equation q-pe-3p
(a) Find the price elasticity of demand by using the differentials definition of elasticity. Fully simplify your answer.
(b) Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.
Answers
Answer:
\(\mathbf{E(p) = 1 - 3p}\)
the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%
Step-by-step explanation:
Given that:
the number of units demanded \(q = pe^{-3p}\)
Taking differentiations ; we have,
\(\dfrac{dq}{dp}=e^{-3p}+p(-3e^{-3p})\)
\(\dfrac{dq}{dp}=(1-3)e^{-3p}\)
Now; the price elasticity of demand using the differentials definition of elasticity is:
\(E(p) = \dfrac{dq}{dp}*\dfrac{p}{q}\)
\(E(p) =[(1-3)e^{-3p}]*[\dfrac{p}{pe^{-3p}}]\)
\(\mathbf{E(p) = 1 - 3p}\)
(b) Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.
The estimate of the percentage change in price is :
\(=\dfrac{2.10-2.00}{2.00}*100 \%\)
= 5%
From (a)
\(\mathbf{E(p) = 1 - 3p}\)
Now at p = $2.00
E(2) = 1 - 3 (2.00)
E(2) = 1 - 6
E(2) = -5
The percentage change in q = -5 × 5%
The percentage change in q = -25%
Thus; we can conclude that the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%
Help
Applying the Solution to a 3X3 System
At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?
Show up all steps please
Answers
Solving the system of equations, the number of children, parents, and Grandparents who were in attendance are 190, 140 and 70 respectively.
Let C, P and G denotes the number of children, parents and the grandparents in the function.
We get the system of equations,
C + P + G = 400 [equation 1]
P = 2G ⇒ G = P/2 [equation 2]
C = P + 50 [equation 3]
Substituting 2 and 3 in 1,
(P + 50) + P + (P/2) = 400
2P + P/2 = 350
5/2 P = 350
P = 140
C = P + 50 = 140 + 50 = 190
G = P/2 = 140/2 = 70
Hence the number of parents = 140, grandparents = 70 and children = 190.
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a.2.00
b. 2.50
c 5.25
d 10.50
Answers
Answer:
the picture is blurry
Step-by-step explanation:
can. you give me another picture? plzWrite as the opposite of a square root. -3√5
Answers
The value of -3√5 as the opposite of the square root is -75.
What in mathematics is a square root?
The factor we can multiply by itself to obtain a given number is the number's square root.
Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.
-3√5
The opposite of the square root is the square, so,
-3√5 = -3 × 5²
-3√5 = - 3 × 25
-3√5 = - 75
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In a square PQRS, if PQ = (2x + 3) cm and QR = (3x-5)cm then the value of X is...
Answers
Answer:
⇛x=8cm.
Step-by-step explanation:
Given that
PQRS is a square and PQ = (2x+3) cm
and QR = (3x-5) cm
We know that
All sides are equal in a square .
⇛ PQ = QR = RS = PS
⇛ 2x+3 = 3x-5
⇛ 3+5 = 3x-2x
⇛ 8 = x
⇛ x = 8
Therefore, The value of x = 8 cm.
Which fraction is represented by point A on the number line?
Answers
The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.
With these details, you can calculate the fraction accurately.
Point A on the number line represents a fraction that requires additional information to determine its precise value.
I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.
A number line represents a range of values, typically with a specific scale or interval.
The scale can be divided into equal parts, such as units or fractions.
To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.
Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.
If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).
If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.
Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.
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For the function f defined by f(x) = x - 2, what is the value of f(7)? А 2 B 5 C 7 D 9
Answers
Answer:
f(7) =5
Step-by-step explanation:
f(x) = x - 2
f(7) means let x = 7
f(7) = 7-2
f(7) =5
Answer:
B. 5
Step-by-step explanation:
f(x) = x - 2 when x = 7
f(7) = 7 - 2
f(7) = 5
Best of Luck!
What is 43.808 in written form
Answers
Answer:
fourty-three.(point) eight zero eight
Step-by-step explanation:
hope it helps...
Hope this helps!
Given the function below, find value (s) of x if f(x)=7
Answers
Explanation:
f(x) and y are often used interchangeably. We are asked to find the x value(s) when y = 7.
Circle the rows where 7 shows up in the y column. You should find that x = -1 and x = 1 are circled as well.
So f(x) = 7 leads to x = -1 or x = 1. In other words, f(-1) = 7 and f(1) = 7 also.
For the function given the value of x can be two, one is 1 and the other one is -1 if the f(x)=7
What is a Function?
A function relates an input to an output means it is a kind of relationship between the variable y and x. It is denoted through f(x).
What is a Variable?A variable is defined as a quantity that may assume any one of a set of values.
How to find the value of x in a function?
In the question the function is given as:
Function is denoted through f(x) and f(x) shows the value of x. We know that the value of f(x)=7 which is given in the question. So we will take the value of x in the front of 7 which is written in the y column. We have got two values in this which are 1 and -1. So they both will be the values of x.
Hence the value of x for the function given in the question are -1 and 1
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Naji is trying to draw an isosceles triangle. He is
given point A at (-4,-2) and point B at (2,-2).
Plot these two points, then help Naji make the
isosceles triangle ABC by ploting point C. Give
your coordinates for point C. It must be on the
grid provided.
Answers
Answ
Step-by-step explanation:wirugf4
why are green plants called producers
?
Answers
Answer:
Green plants use sunlight and carbon dioxide from the atmosphere to produce carbohydrates by the process of photosynthesis. Since, plants produce food for themselves, they are known as producers.
Step-by-step explanation:
What is the purpose of data? Answer below.
Answers
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
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Graph the point on the graph.
Answers
Answer:
see below
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Answer:
Info down in Explaination
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Answer fast please i got 10 min left
In rst cos r = 3/5 what is sin t
Answers
Answer:
sin 4/9 if cos is 3/5
Step-by-step explanation:
A cosine function is equivalent to the adjacent side divided by the hypotenuse , from SOH-CAH-TOA.
So, our adjacent side can be 3 , and the hypotenuse can be 5.
Then, we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find the missing side length.
3^2+b^2=5^2
9+b^2 =25
b^2=16
b = 4
We found our three sides: 4, 5, and 9.
We know from SOH-CAH-TOA that the sine function is equivalent to the opposite side length divided by the hypotenuse length. So:
sin θ = 4/9
A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?
Answers
The area of the poster in inches is,
⇒ A = 4 inches²
We have to given that;
A rectangular poster is 50 centimeters long and 25 centimeters wide.
Here, 1 centimeter is approximately 0.4 inches
Hence, Lenght = 50 cm
Lenght = 50 x 0.4
= 2 inches
Width = 25 cm
= 25 x 0.4
= 1 inches
Thus, The area of the poster in inches is,
⇒ A = 1 x 4
⇒ A = 4 inches²
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Plz help i need help
Answers
Answer: answer is (-2.-4)
Step-by-step explanation:
Answer:(-2,-4)
Step-by-step explanation:
It is given that point P is located at (6,-4). Since point S is located 8 units to the left, you can subtract 6 by 8. You would end up with (-2,-4) as a result.