Answers
Answer:
Step-by-step explanation:
However many decimals you move to get 1 after the first number that is not 0 is what goes in the exponent. Negative version because to get to a decimal you move in the negative direction.
.1 = 1.0 x \(10^{-1}\)
.01 = 1.0 x \(10^{-2}\)
.001 = 1.0 x \(10^{-3}\)
.000001 =,1.0 x \(10^{-6}\)
Related Questions
4. Find the average value of the given function on the given interval. Then find all points c whose existence is guaranteed by the Mean Value Theorem for Integrals. (a) f(x) = x2 – 8x + 10 on (2, 5] (b) f(x) = Vx on [1, 16]
Answers
The average value of the given function on the given interval is = 7/2 and 6.25 respectively
What is Average?
The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
(a) f(x) = x2 – 8x + 10
f = 1/b-a \(\int\limits^b_a {f(n)} \, dx\)
f = 1/5-2 \(\int\limits^5_2 {x^{2} -8x+10} \, dx\)
Here, a=2
b=5
f(x) =x2 – 8x + 10
f = 1/3 (x³/3 - 8x²/2+10x)5/2
f = -25/9 -20/9
f = -45/9
= -5
Mean Value Theorem
If f(x) = continous on (a, b)
If f(x) = differentiable on (a, b)
Then f(c) = f(b) -f(a)/b-a
were c∈ (a,b)
Here, f(c) = f(-5)-f(2)/5-2
f(c) = -5+2/3
f(c) = -1 ......................(1)
Here, f(x) = x²-8x+10
f(c) = c²-8c+10
f(x) = 2c-8...................(2)
equating 1&2
2c -8 = -1
2c = -1 +8
c = 7/2
c∈ (2,5)
(b) f(x) = Vx on [1, 16]
f = \(\sqrt{x}\) on (1 ,16)
f= 1/b-a \(\int\limits^b_a {f(n)} \, dx\)
f = 1/16-1 \(\int\limits^6_1 {\sqrt{x} } \, dx\)
f = ( 2x (3/2)/45)₁¹⁶
f = 128/45-2/45
f = 126/45
= 14/5
Mean Value Theorem
f(x) = \(\sqrt{x}\)
f(c) =\(\sqrt{c}\)
f(c) = 1/2\(\sqrt{c}\)....................(1)
we know that
f(c) = f(b)-f(a)/b-a
f(c) = f(16)-f(1)/16-1
f(c) = \(\sqrt{16}\) -\(\sqrt{1}\)/15
f(c) = 4-1/15
= 3/15.....................(2)
Equating (1) and (2)
1/2\(\sqrt{c}\) = 3/15
2\(\sqrt{c}\) = 15/3
2\(\sqrt{c}\) = 5
\(\sqrt{c}\) = 5/2
c = (5/2)²
=25/4
c≅ 6.25
6.25 = (1 ,16)
The average value of the given function on the given interval is = 7/2 and 6.25 respectively
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Arrange the steps in order to simplify the expression
Answers
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
which of the following is NOT a pythagorean Triplet . A (1,2,3), B (3,4,5.) C(5,12,13), D(8,15,17)
Answers
Pythagorean triplet are numbers a, b, c such that:
a^2 + b^2 = c^2
A(1,2,3)
1 + 4 is not 9..................NO
B(3,4,5)
9 + 16 is 25.............YES
C(5,12,13)
25 + 144 is 169..............YES
D(8, 15, 17)
64 + 225 is 289...........YES
Answer:
A is NOT a pythagorean Triplet
Does this table represent a linear or nonlinear function? x= 1, 2, 5 & y= 4, 7, 16
Answers
Answer:
linear
Step-by-step explanation:
The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.
first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3
second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3
The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.
A number and its opposite is called
Answers
Answer: its called a additive inverse
Step-by-step explanation:
Answer:
the opposite positive number is negative, and the opposite to a negative number is positive.
Step-by-step explanation:
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite number, sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.
What are the x-coordinates to the solutions of the system of equations:
x + y + 10 = 0
x ^ 2 + y - 2 = 0
A) x = - 4, -3
B) x= 4, 14
C) x= -3, 4
D) x= -3, -7
Answers
Answer:
C
Step-by-step explanation:
x + y + 10 = 0 ( subtract x + 10 from both sides )
y = - x - 10 → (1)
x² + y - 2 = 0 → (2)
substitute y = - x - 10 into (2)
x² - x - 10 - 2 = 0
x² - x - 12 = 0 ← in standard form
(x - 4)(x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 4 = 0 ⇒ x = 4
I Will give Brainliest, I need this now! Entrance to a state park costs $6 per car, plus $2 per person in the vehicle. Is the relationship between the number of people and the total entrance cost a proportional relationship? EXPLAIN YOUR THINKING.
Answers
Answer: no
Step-by-step explanation: there is no constant ratio between the number of passengers in car and the total cost in dollars. For instance for two people in the car the cost is 10 therefore there should be 1:5 but in second case the ratio is accordingly 1:4 and so on.
hope this helps...
The difference of Delia's height and 17 is 71
Answers
Answer:
Delia's height is 88
Step-by-step explanation:
Let's say Delia's height is x
x - 17 = 71
x = 17 + 71
x= 88
1. You have a system of K equations in two variables, k >= 2. Explain the geometric significance of there being no solution.
Answers
If there is no solution to the system of equations, it signifies that the equations describe two parallel lines in the two-dimensional plane. This indicates that the lines will never meet because they have the same slope but separate y-intercepts. This signifies that the two lines are geometrically distinct and will never intersect.
What is a geometric significance?A geometric significance is a geometric aspect or quality of a form or item. This encompasses the object's size and orientation, as well as its symmetry and proportions. Several areas, including architecture, engineering, graphic design, and mathematics, rely on geometric importance. In architecture, for example, the size and direction of a structure may be utilised to decide how much light it receives and how much shade it casts. The geometry of an item can be used to determine its strength, stiffness, and durability in engineering. The symmetry and dimensions of an object may be employed in graphic design to produce an appealing and balanced design.
The given question states that when there are no solutions to a system of K equations in two variables, it means that the lines associated with those equations are either parallel or coincident. Geometrically, this means that the lines are not intersecting, which implies that the two variables cannot simultaneously satisfy all of the equations.
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The table represents a linear relationship
X—2 0 4
Y-4 3 1
Which equation represents the table
Y=1/2x+5
y=-1/2x+3
Y=2x-3
Y=-4x+2
Answers
The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.
To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.
Given the table:
X: 2 0 4
Y: -4 3 1
We can plot these points on a graph and see that they form a straight line.
Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.
Based on the given options, we can now evaluate each equation to see which one represents the line:
Y = 1/2x + 5
When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.
Y = -1/2x + 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.
Y = 2x - 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.
Y = -4x + 2
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.
In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.
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This is the question I need an answer to
Answers
The correct option is (D) The subject would not receive treatment and could spread the disease.
The probability is 0.04
and, The unfavorable consequence of error is "The subject would not receive treatment and could spread the disease."
What is Probability ?In mathematics, probability defines the occurrence of something. Or we can say that it defines the chance of something to be happen or occur.
Probability is the mathematical branch that studies and deal with the possible outcomes of some given events together or some set of event with the outcomes of distributions.
The minimum value of probability is 0 while the maximum value is 1 .
How to calculate probability?Suppose if there are some favorable outcomes whose probability we have to find out then the formula is :
\(prob ( fav \ outcome) = \frac{number \ of \ favorable \ outcome}{total \ number \ of \ outcomes}\)
In the given question :
total outcomes = 333 + 14 = 347
favorable outcome = 14
thus, probability = 14 / 347 = 0.04
and unfavorable consequence of error is "The subject would not receive treatment and could spread the disease."
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At a costumer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. What is the probability that during a given hour of the day there will be between 146 calls and 163 calls, to the nearest thousandth
Answers
We have been given that at a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. We are asked to find the probability that during a given hour of the day there will be between 146 calls and 163 calls.
First of all, we will use z-score formula to find z-score corresponding to 146 and 163.
\(z=\frac{x-\mu}{\sigma}\)
\(z=\frac{146-150}{5}\)
\(z=\frac{-4}{5}\)
\(z=-0.8\)
\(z=\frac{163-150}{5}\)
\(z=\frac{13}{5}\)
\(z=2.6\)
Our next step is to find percentage of data scores falls between both z-scores.
\(P(-0.8<z<2.6)=P(z<2.6)-P(z<-0.8)\)
Using normal distribution table, we will get:
\(P(-0.8<z<2.6)=0.99534-0.21186\)
\(P(-0.8<z<2.6)=0.78348\)
Let us convert our answer into percentage.
\(0.78348\times 100\%=78.348\%\)
Upon rounding our answer to nearest thousandths, we will get:
\(78.348\%\approx 78.35\%\)
Therefore, the probability that during a given hour of the day there will be between 146 calls and 163 calls is approximately \(78.35\%\).
Answer:
0.624
Step-by-step explanation:
DeltaMath
In the graph below, line kwith equation y = -k makes a 45° angle with the x- and y- axes. Complete the following:R ko, Ry :(2,5) →Answer choices:(5, -2)(-5, -2)(-5, 2)
Answers
Answer
(-5, 2)
Step-by-step explanation
The transformations:
\(R_k\circ R_y:(2,5)\)means that, first, we need to reflex the point (2, 5) across the y-axis and next we need to reflex the obtained point across the line k, as shown in the next graph:
The resulting point is (-5, 2)
Can someone told me is this correct please?
Answers
Determine the values of x in the equation x2 = 64.
Answers
Explain= When a variable(the letter next to the number in this case the “x”) is placed next two a coefficient(the number next to a variable, in this case “2”), that means the variable is being multiplied by that number. To solve for x, we must divide the sum of x2 (64) by the coefficient. The number will equal x.
x2=64? X = 32!
Amadi has jar with one dollar and two dollar coins in it.
There are coins in total.
A jar of one and two dollar coins.
The ratio of one dollar coins to two dollar coins is .
How many coins are two dollar coins
Answers
Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.
Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.
Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.
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What relationships are equivalent to |3x-9|-24=-12?
Answers
The equivalent relationships of the function are 3x - 9 = 12 and 3x - 9 = -12
How to determine the equivalent relationship?From the question, we have the following parameters that can be used in our computation:
|3x-9|-24=-12
The above equation is an absolute value function
So, we start by representing the equation properly
So, we have the following representation
|3x - 9| - 24= -12
Add 24 to all sides of the equation
|3x - 9| = 12
Remove the absolute bracket
So, we have
3x - 9 = 12 and 3x - 9 = -12
Add 9 to all sides of the equation
3x = 21 and 3x = -3
Divide through the equations by 3
x = 7 and x = -1
Hence, the representations are 3x - 9 = 12 and 3x - 9 = -12 and the solutions are x = 7 and x = -1
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Is there a relationship between the measure of one exterior angle and its adjacent interior angles?
Answers
Yes, there is a relationship between the measure of one exterior angle and its adjacent interior angles. The relationship between the measure of one exterior angle and its adjacent interior angles is that the exterior angle is equal to the sum of the adjacent interior angles.
What is the relationship between the measure of one exterior angle and its adjacent interior angles?The measurements of a given exterior angle and its neighboring internal angles are related.
A polygon's external angle is created by extending one of its sides, then calculating the angle that results on the outside of the polygon. Angles inside the polygon that have a vertex in common with an outer angle are said to be neighboring internal angles.
The exterior angle is equal to the total of the neighboring interior angles in terms of the relationship between the measure of one exterior angle and those of its adjacent interior angles. With those words:
Angle measurement equals angle measurement next to it 1 plus the closest interior angle's measurement All polygons, whether regular or irregular, exhibit this relationship.
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how many square feet of of outdoor carpet will we need for this hole?
Answers
Answer:
To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.
Our length is 2ft, since it's a rectangle the other side is 2ft as well.
The width is 3ft, and the other half is 3ft.
So, basically to get the area of the hole, it'd be 3*2=
Which, it's 6sq ft.
Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3
Thomas rode his bike 6 3/4 miles to the museum. Write 6 3/4 as a decimal.
Answers
Answer:
6.75
Step-by-step explanation:
3/4= 0.75, 6+ 0.75= 6.75
1/4= 0.25, 1/4x3=0.25x3 or 0.25+0.25+0.25= 0.75
The shaded area on the grid represents the part of a rectangular wall that was painted. Each small square on the wall has the same dimensions. What percentage of the wall was painted?
Answers
Answer:
68
Step-by-step explanation:
There are total of 5*5 = 25 rectangles on the wall. 17 of these are painted.
17 / 25 = 17*4 / 100
17 * 4 = 68
Answer 68%
Step-by-step explanation:
2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend
Answers
answer:
Juanita spent 1 1/2 times as much as Jared, how much did she spend?
$63
explanation:
one and a half of 42 is: 63
so,
the answer is Juanita spent $63!
Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.
What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.How are mixed fractions written?Follow these procedures to convert an incorrect fraction to a mixed number:
Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.Given: Jared spent $42 on a cell phone.
We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.
So,
42(3/2) = $63
Therefore, Juanita spent $63 which is 3/2 amount spent by Jared in buying the cell phone.
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Sam exercised 6 times as many hours as Alex last week. Sam exercised for 12 hours. How many hours did Alex exercise?
Answers
Answer:
alex exercised 2 hours
Answer: 2
Step-by-step explanation:
we know that samn excersided 6 TIME AS MANY as alex. and that he excersides 12 hrs (dudes buff)
so we must divide 6/12
6/12=2
have a good day
The average salary of all assembly-line employees at a certain car manufacturer is $42,000 is it a sample or population
Answers
Answer:
Population parameters
Step-by-step explanation:
Population parameters usually find from the average values, in a simple way we can say that finding the average value comes in the Population Parameters.
In the given question, car manufacturing companies provide sample of average.
So, given scenario is a type of "Population parameters".
An industrial machine made 9,096 cans of diet sodas and 5 times as many regular sodas over the course of 53 minutes. The regular sodas were placed into 2 shipping boxes with each shipping box containing the same number of sodas. How many regular sodas were in each shipping box?
Answers
Answer:
678
Step-by-step explanation:
it is the 123 formation
Simplify (4.5)(5)(−2). (1 point) a 45 b 4.5 c −4.5 d −45
Answers
Answer:
D cause it equals -45
Step-by-step explanation:
Suppose you make $5 an hour as a dog walker. Let h represent the number of hours you work in a week. Write an expression that represents the amount of money you earn in a week and evaluate it for h = 20.
Answers
Answer:
e = 5h
$100
Step-by-step explanation:
Let e = earnings
e = 5h
For h = 20,
e = 5h = 5(20) = 100
Answer:
$ 100
Step-by-step explanation:
1 hour = $ 5
h (hours worked in a week) = 20 hrs
EXPRESSION: amount of money earned in a week = h × 5
EVALUATION: amount of money earned in a week = 20 × 5
amount of money earned in a week = $ 100 ... answer
hope that helps...
{20 PTS}
4/6 = ??? x 1/6
what number makes this equation true? fill in the blank
Answers
Hope this helps :)
HELP BRAINLY, I NEED HELP WITH THESE QUESTIONS!
(05.05 LC)
A right rectangular prism is shown.
What shape best describes the cross-section cut at an angle to the base of a right rectangular prism? (1 point)
Trapezoid
Parallelogram
Square
Rectangle
10.
(05.05 MC)
Find the area of a triangle with a base length of 3 units and a height of 4 units. (1 point)
3 square units
6 square units
7 square units
8 square units
11.
(05.05 MC)
Erin covered a box with contact paper. The dimensions of the box are shown in the figure below:
A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 9 inches and the width is labeled as 8 inches.
The contact paper costs 8¢ per square inch. She will only pay for the contact paper used to cover the box, even if there is waste or extra. How much money did Erin spend on the contact paper? (1 point)
$20.72
$41.44
$48.12
$73.14
Answers
Answer:
For the first one its parallelogram