Answers
Answer:
I believe the value of the dot is -1
Step-by-step explanation:
The reason for my answer was because I went down by two and seen -11,-9,-5,-3,-1,-,1,3,5,9,11.
Related Questions
3 to the fourth power +9
Answers
Answer:
81
Step-by-step explanation:
3*3=9
9*3=27
27*3=81
Answer: 90
Step-by-step explanation:
3 to the fourth power = 81
81 + 9 = 90
17. Rob purchased a boat three years ago. The boat decreased by 7% each year. Three years
later, the value of the boat was $32,174.28. Which equation initially models the value of Rob's
boat?
A. y = 40,000(0.93)*
B. y = 40,000(1.07)*
C. y = 32,174.28 (0.93)*
D. y = 32,174.28 (1.07)*
Answers
Answer:
The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.
Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:
y = 40,000(0.93)^3
where y is the value of the boat after three years, and 40,000 is the initial value of the boat.
Simplifying this equation, we get:
y = 40,000(0.7951)
y = 31,804
However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.
To find the correct equation, we can use the formula for exponential decay:
y = a(1 - r)^t
where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.
In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.
So we can set up an equation:
32,174.28 = 40,000(0.93)^3
Simplifying this equation, we get:
32,174.28 = 31,804.00
This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:
y = 40,000(0.93)^t
where t is the time in years.
You are given the following equation.
4x2 + 49y2 = 196
a. Find dy / dx by implicit differentiation.
dy / dx = _________
b. Solve the equation explicitly for y and differentiate to get dy/dx in terms of x. (Consider only the first and second quadrants for this part.)
dy / dx = ________
c. Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a).
Answers
Answer:
Step-by-step explanation:
Given the equation 4x²+ 49y² = 196
a) Differentiating implicitly with respect to y, we have;
\(8x + 98y\frac{dy}{dx} = 0\\98y\frac{dy}{dx} = -8x\\49y\frac{dy}{dx} = -4x\\\frac{dy}{dx} = \frac{-4x}{49y}\)
b) To solve the equation explicitly for y and differentiate to get dy/dx in terms of x,
First let is make y the subject of the formula from the equation;
If 4x²+ 49y² = 196
49y² = 196 - 4x²
\(y^{2} = \frac{196}{49} - \frac{4x^{2} }{49} \\y = \sqrt{\frac{196}{49} - \frac{4x^{2} }{49} \\} \\\)
Differentiating y with respect to x using the chain rule;
Let \(u= \frac{196}{49} - \frac{4x^{2} }{49}\)
\(y = \sqrt{u} \\y =u^{1/2} \\\)
\(\frac{dy}{dx} = \frac{dy}{du} * \frac{du}{dx}\)
\(\frac{dy}{du} = \frac{1}{2}u^{-1/2} \\\)
\(\frac{du}{dx} = 0 - \frac{8x}{49} \\\frac{du}{dx} =\frac{-8x}{49} \\\frac{dy}{dx} = \frac{1}{2} ( \frac{196}{49} - \frac{4x^{2} }{49})^{-1/2} * \frac{-8x}{49}\\\frac{dy}{dx} = \frac{1}{2} ( \frac{196-4x^{2} }{49})^{-1/2} * \frac{-8x}{49}\\\frac{dy}{dx} = \frac{1}{2} ( \sqrt{ \frac{49}{196-4x^{2} })} * \frac{-8x}{49}\\\frac{dy}{dx} = \frac{1}{2} *{ \frac{7}\sqrt {196-4x^{2} }} * \frac{-8x}{49}\\\)
\(\frac{dy}{dx} = \frac{-4x}{7\sqrt{196-4x^{2} } }\)
c) From the solution of the implicit differentiation in (a)
\(\frac{dy}{dx} = \frac{-4x}{49y}\)
Substituting \(y = \sqrt{\frac{196}{49} - \frac{4x^{2} }{49} \\\) into the equation to confirm the answer of (b) can be shown as follows
\(\frac{dy}{dx} = \frac{-4x}{49\sqrt{\frac{196-4x^{2} }{49} } }\\\frac{dy}{dx} = \frac{-4x}{49\sqrt{196-4x^{2}}/7} }\\\\\frac{dy}{dx} = \frac{-4x}{7\sqrt{196-4x^{2}}}\)
This shows that the answer in a and b are consistent.
Solve this inequality 15n<8n-21
Answers
The solution of the inequality 15n>8n-21 is given by, n<-3.
Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.
Given that the inequality is 15n<8n-21
Solving the inequality we have,
15n<8n-21
15n-8n<8n-21-8n, subtracting from both sides
7n<-21
n<-3, dividing 7 from both sides
So the solution of the given inequality is, n<-3.
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An equilateral triangle was rotated to create this figure. What is true about the axis of rotation?
Answers
The true statement about the axis of rotation is the option;
It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.
What is an axis of rotation?The axis of rotation is a straight line around which all points on a rotating body rotates.
The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle
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A video game lets you decorate a bedroom using one choice from each category. Find
the number of possible outcomes.
Bedroom Decor # of Choices
8
6
8
5
3
5
Paint color
Comforter set
Sheet set
Throw rug
Lamp
Wall hanging
Answers
The calculated number of possible outcomes is 230400
Finding the number of possible outcomes.From the question, we have the following parameters that can be used in our computation:
Paint color = 8Comforter set = 6Sheet set = 8Throw rug = 5Lamp = 3Wall hanging = 5The number of possible outcomes is the product of each set
So, we have
Outcomes = 8 * 6 * 8 * 8 * 5 * 3 * 5
Evaluate
Outcomes = 230400
Hence, the number of possible outcomes is 230400
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Jorge bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent. Show your work.
HELP!!
Answers
The solution is:
⇒ 6b = 95.94 (equation to determine cost of one box)
cost of one box 'b' = $`15.99
⇒ 12t = 95.94 (equation to determine cost of per tile)
cost of one tile t = $0.7995.
Given :
Jorge bought a crate of floor tiles for $95.94.
The crate had 6 boxes of floor tiles.
Each box contained 20 floor tiles .
To Find :
Write and solve equation to determine the cost per box'b'.
Write and solve a second equation to determine the cost per tile't'
Solution :
Cost of one box = b
There are 6 boxes
So, cost of 6 boxes = $ 6b
Since Jorge bought 1 crate( = 6 boxes) of cost $95.94
⇒ (equation to determine cost of one box)
⇒6b = 95.94
⇒b =15.99
Thus cost of one box = $`15.99
Since 1 box 20 floor tiles
So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles
We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94
Cost of one tile = t
Cost of 120 tiles = $120t
⇒ (equation to determine cost of per tile)
⇒12t = 95.94
⇒t = 0.7995.
Thus cost of one tile t = $0.7995.
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what type of number is 15/10
Answers
Answer:
The number 15/10 is a fraction, specifically a rational number. It can be expressed as the quotient of two integers, where 15 is the numerator and 10 is the denominator. In this case, the fraction is equivalent to 1.5, which is a decimal representation of the rational number.
Step-by-step explanation:
Answer:
Fraction, 15/10 is written out as 15 Over 10
Express cos M as a fraction in simplest terms.
Answers
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{30}\\ a=\stackrel{adjacent}{MN}\\ o=\stackrel{opposite}{18} \end{cases} \\\\\\ MN=\sqrt{ 30^2 - 18^2} \implies MN=\sqrt{ 576 }\implies MN=24 \\\\[-0.35em] ~\dotfill\\\\ \cos(M )=\cfrac{\stackrel{adjacent}{24}}{\underset{hypotenuse}{30}} \implies \cos(M)=\cfrac{4}{5}\)
a 90% confidence interval is found to be (72,78). what is the margin of error
Answers
The margin of error for the 90% confidence interval is 3.
To find the margin of error for a 90% confidence interval, we can use the formula:
Margin of Error = (Upper Limit - Lower Limit) / 2
Given the confidence interval (72, 78), where 72 is the lower limit and 78 is the upper limit, we can substitute these values into the formula to calculate the margin of error.
Margin of Error = (78 - 72) / 2
Margin of Error = 6 / 2
Margin of Error = 3
Consequently, the 90% confidence interval's margin of error is 3.
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The average lifespans of 18 common species of turtles are shown below along with the five-number summary.
According to the 1.5 IQR rule for outliers, how many low outliers are there in the data set?
Answers
Answer:
There are 0 low outliers in the data set.
Step-by-step explanation:
The five-number summary tells us that Q1= 24 and Q3=40
Q1-1.5*IQR
=24-1.5*IQR
=24-1.5(40-24)
=24*1.5*16
=24-24
=0
Answer:
0
Step-by-step explanation:
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Answers
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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Find the height of the tower using the information given in the illustration.
Answers
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Barb drew a line through the origin and point
(2, 3). Jamal drew a line through the origin
and point (4,6). How can you tell that Barb
and Jamal drew the same line?
Answers
During science class, groups measure out different volumes of vinegar. The line plot below shows the amount of vinegar used by 12 1212 groups, rounded to the nearest 1 2 mL 2 1 mLstart fraction, 1, divided by, 2, end fraction, start text, space, m, L, end text. 4 4 4 1 2 4 2 1 5 5 5 1 2 5 2 1 6 6 6 1 2 6 2 1 7 7 7 1 2 7 2 1 8 8 A line plot labeled 4 to 8 with tick marks every one-half unit labeled with a tick mark and number. Above tick mark four and one-half there is a column of two dots. Above tick mark 5 there is a column of three dots. Above tick mark six and one-half there is a column of two dots. Above tick mark 7, there is a column of two dots. Above tick mark seven and one-half, there is a column of three dots. What is the total amount of vinegar, in milliliters, used by the 3 33 groups that used the most? mL mL
Answers
Answer:
22 1/2
Step-by-step explanation:
How do you write equations in Point-slope form?
Answers
For a line with a slope a and a known point (h, k), the point-slope form is:
y = a*(x - h) + k
How to write an equation in point slope form?A general linear equation can be written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that a line passes through a point (h, k), then the point-slope form of that line is:
y = a*(x - h) + k
Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:
y = a*(x - 0) + b
y = a*x + b
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Determine if the equation x-3y^2=1
Answers
Add 3y² to both sides of the equation.
x = 1 + 3y²
- Vocab
· Equation
A mathematical statement that says two expressions have the same value; any number sentence with an = .
· Expression
A mathematical symbol, or combination of symbols, representing a value, or relation.
· Combination
A selection in which order has no importance.
Help pleaseeeeeeeeeee
Answers
Answer:
(2^3)^7
Step-by-step explanation:
Rearrange the equation so w is the independent variable.
-2u + 6w = 9
u = _______
Answers
Answer:
u = 3w -9/2
Step-by-step explanation:
-2u + 6w = 9
Subtract 6w from each side
-2u + 6w-6w = 9-6w
-2u = 9-6w
Divide each side by -2
-2u /-2 = 9/-2-6w/-2
u = 3w -9/2
Which of the following statements is true about systematic random sampling?
A- Systematic random sampling requires a finite population size.
B- Systematic random sampling catches all patterns present in the population.
C- Systematic random sampling can be used, even if knowledge of the entire population is not known.
D- The starting point can always be the first person seen, as long as the gap between the first and second person is a random number.
Answers
I hope this helps you!
Systematic random sampling involves a selection technique in which samples are selected at fixed intervals. Hence, the true statement is "Systematic random sampling can be used, even if knowledge of the entire population is not known."
Systematic random sampling would fail to catch all patterns because the samples are selected at periodically at fixed intervals, hence, the possibility of missing pattern is very possible. Starting point could be at any point and hence, might not be the first sample in the population.However, without knowing the entire population size, systematic random samples could be selected from the population.
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Algebraic Expressions
Evaluate
The weight of a bag of oranges is 1.3 pounds. There are 9 bags of oranges. What is the total weight?
Help please :)
Answers
Answer:
11.7 pounds
Step-by-step explanation:
Multiply the weight of one bag of oranges by 9 bags.
If the simple interest on a certain sum of money for 3 years is three-tenth of the sum,then find the rate of interest per annum
Answers
9514 1404 393
Answer:
10%
Step-by-step explanation:
We assume the "sum" being referred to in both cases is the principal amount invested. The simple interest formula tells you ...
I = Prt . . . . . . interest on P invested at annual rate r for t years
We have ...
I = 0.3Pt = 3Filling in these values, we get ...
0.3P = Pr(3)
0.1 = r . . . . . . . . divide by 3P
The interest rate is 0.1×100% = 10% per year.
Create an equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power.
a) (0.625)(0.42)2
b) eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
c) (1.6)(0.42)2
d) 0.11
Answers
The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B
Exponential(5/8)^-1 × (0.42)^2
= {1 ÷ (5/8)¹} × 0.42²
= {1 × (8/5)¹} × 0.42²
= (8/5)¹ × 0.42²
Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
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Answer:
(1.6) (0.42)^2 C
Step-by-step explanation:
I had originally put B, but my teacher explained and said its C.
the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C
Profit is defined as total revenue minus total cost. The profit function of a company that manufactures and sells x units of a product is given by P(x) = R(x)-C(x), where
P represents the company's profits, R represents the company's revenue, and C represents the company's cost. If a company sells a calculator for $13, its revenue
function is R(x) = 13x. The cost of each calculator manufactured is $9. In addition, it renewed its lease on the plant, so its weekly fixed costs are $1240.
(a) Determine the profit function. (b) Determine and interpret P(700).
Answers
Answer:
a.) P(x)= 4x - 1240
b.) make $1,560 profit in 1 week by selling 700 calculators
Step-by-step explanation:
a.) P(x)=R(x)-C(x)
R(x)=13x; C(x)=9x + 1240 assuming they are asking for profit in a week
P(x)= 4x - 1240
b.) P(700) = 4(700) -1240 = 1560
What is the area, in square units, of the parallelogram shown below?
21
56
63
81
Answers
Answer:
63
Step-by-step explanation:
You find the area of a parallelogram the same way you would a rectangle.
A = lw or A = bh so A = (9)(7). A = 63
Answer:
C. 63
Step-by-step explanation:
To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.
Have a great day!
16x^2-1=0
help algebra 2
Answers
Answer:
16x²=1
x²=1/16
x=√(1/16)
x=+- (1/4)
i am confused on finding the answer i have tried a few times and i do not understand
Answers
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
why is it easier to add, subtract, multiply, or divide very large or very small numbers in scientific notation than standard
Answers
It is easier to add, subtract, multiply or divide very large or very small number in scientific notation because it reduces error, simplifies computation, and eases comparison.
The Scientific notation is defined as a system of writing numbers as a coefficient multiplied by a power of ten, where the coefficient is usually a number between 1 and 10.
Using scientific notation makes it easier to perform arithmetic operations on very large or very small numbers for several reasons:
(i) Simplifies computation: Scientific notation simplifies the computation of arithmetic operations by reducing the number of digits involved in the calculation.
(ii) Reduces errors: Scientific notation reduces the risk of errors in calculations because it is easier to keep track of the decimal places when working with small numbers.
(iii) Eases comparisons: Scientific notation makes it easier to compare numbers of different orders of magnitude.
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If m∠CDF = (3x + 14)°, m∠FDE = (5x – 2)°, and m∠CDE = (10x – 18)°, find x.
Answers
Answer:X=10
Step-by-step explanation:
What is 3 and 4/5÷2/5 in the simplest form
Answers
Answer:
The answer is 19/2.
Step-by-step explanation:
Alternatives are 9 1/2 and 9.5.
Brainliest? Thanks!
Answer:
3 and 2/5
Step-by-step explanation:
because when it says divide it means take away and the denominator is the same so it stays the same