If f(x) = (2x − 2)(x + 1)(x – 3) the lead term used to identify end behavior would be
A: 3
B: 2x
C: 4x
D: 2x^3
Answers
Multiply the variable in each set of parenthesis together:
2x * x * x = 2x^3
Related Questions
thank u if u help I’m in question 16 out of 35:(
Answers
Answer:
The answer is 20 because when you divide 56 by 2.8 you get 20
what is the surface area of a sphere with a radius of 12 centimeters
A) 302cm^2
B) 452cm^2
C) 576cm^2
D) 1810cm^2
Answers
The surface area of the sphere is 1810 cm²
What is a sphere?A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of sphere is expressed as;
A = 4πr². where r is the radius.
A = 4 × 3.14 × 12²
A = 1809.7 cm²
approximately to the nearest whole number
A = 1810 cm²
Therefore the surface area of the sphere to the nearest whole number is 1810 cm².
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Evaluate the logarithmic expression without using a calculator. Answer exactly. log 2 ( 1/16 ) + 4 =
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\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)
\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)
animal behavior crossword
Answers
Answer:
what is the question? tggtt
solve each equation some solutions will be expressed using log notation question 6 7 and 8
Answers
5) In this one, let's take the logarithm on both sides:
\(\begin{gathered} 10^x=315 \\ \log_{10}10^x=\log_{10}315 \\ x=2.498 \end{gathered}\)6) Let's begin this exponential equation by simplifying it whenever possible:
\(\begin{gathered} 2*10^x=800 \\ \frac{2*10^x}{2}=\frac{800}{2} \\ 10^x=400 \end{gathered}\)Note that we cannot rewrite 400 as a power of base 10, so let's resort to the logarithm:
\(\begin{gathered} \log_{10}10^x=\log_{10}400 \\ x=2.60 \end{gathered}\)Note that according to the property of the logarithm, we can tell that log_10(10)^x is equal to x
7)
\(\begin{gathered} 10^{\left(1.2x\right)}=4000 \\ \log_{10}10^{1.2x}=\log_{10}4000 \\ 1.2x=3.60 \\ \frac{1.2x}{1.2}=\frac{3.6}{1.2} \\ x=3.00 \end{gathered}\)Note that in this case, we had to take the logarithms on both sides right away.
8)
\(\begin{gathered} 7*10^{0.5x}=70 \\ \frac{7*10^{0.5x}}{7}=\frac{70}{7} \\ 10^{0.5x}=10 \\ 0.5x=1 \\ \frac{0.5x}{0.5}=\frac{1}{0.5} \\ x=2 \end{gathered}\)Note that in this case, after dividing both sides by 7 we ended up with two powers of base 10.
please help middle school math I will mark brainliest (picture included so it could be a little easier)
Point P is plotted on the coordinate grid. If point S is 12 units to the left of point P, what are the coordinates of point S? 10 NAG -12-10-864 -20 32 2 4 6 8 10 12 TP -6 -S 10 - 12 (6.-16) (-6.-16) o(-6,-4) (6,4)
Answers
Answer:
(-6, -4)
Step-by-step explanation:
Original coordinates: (6, -4)
POINT S IS 12 UNITS TO THE LEFT OF POINT P.
There are multiple ways to solve this, but I will explain the easiest way.
We can subtract 12 from the x-coordinate.
This because the x-axis runs RIGHT and LEFT.
The y-axis runs UP and DOWN.
6 - 12 = -6
The y-coordinate stays the same.
The new coordinates are: (-6, -4).
suppose section 1 has 30 students and section 2 has 20. find the sd of the scores of all the students in the class
Answers
The standard deviation of the scores of all the students in the class to be:
σ = √[(Σ(x - 80)2) / 50] = 11.18
The standard deviation of the scores of all the students in the class is calculated using the formula
σ = √[(Σ(x - μ)2) / N]
where μ is the mean of the scores and N is the total number of students in the class.
In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.
Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:
σ = √[(Σ(x - 80)2) / 50]
In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.
For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.
Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:
σ = √[(Σ(x - 80)2) / 50] = 11.18
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What is the value of 5x - 3y if x=5 and y= -1?
Answers
Answer and Step-by-step explanation:
To solve, we have to plug in the x and y values given to us into the equation.
5(5) - 3(-1)
Simplify
25 - -3
The negatives cancel each other, leading to becoming positive.
25 + 3
Add
28
The value of the expression with the given values for x and y is 28.
#teamtrees #PAW (Plant And Water)
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
A clothing store reduce the price of a shirt by 25% to 27%. What is the original price of the Shirt
Answers
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is . The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at confidence. Round up to the next whole number.
a. The desired margin of error is $.10. The appropriate sample size is ____.
b. The desired margin of error is $.06. The appropriate sample size is ____.
c. The desired margin of error is $.04. The appropriate sample size is _____.
Answers
Answer:
The answer is "23, 62, and 139"
Step-by-step explanation:
In point a:
\(\to \sigma = \$0.24\\\\ \to E = \$0.10\\\\ 95\% \text{confidence level of the z}: \\\\\to \alpha = 1 - 95\% = 1 - 0.95 = 0.05\\\\\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\)
Calculating the sample size:
\(\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma)}{E})^2\)
\(= (\frac{(1.96 \times 0.24 )}{0.10})^2\\\\= 22.13 \approx 23\)
In point b:
\(\to \sigma = \$0.24\\\\\to E = \$0.06\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\\)
\(= (\frac{(1.96 \times 0.24 )}{0.06})^2\\\\= 61.47 \approx 62\)
In point c:
\(\to \sigma = \$0.24\\\\\to E =\$0.04\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\\)
\(= (\frac{(1.96\times 0.24 )}{0.04})^2 \\\\=138.30 \approx 139\)
Part A: Timothy said that AKLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy CORRECT? Explain your answer or show your work.
Answers
Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.
What is dilation?In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.
For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:
Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).
Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).
Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).
In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.
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Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answers
Answer:
x > -5, so the correct answer is C.
Type < or > to make this statement true
Answers
Answer:
- \(\frac{9}{10}\) > - \(\frac{10}{10}\)
Step-by-step explanation:
Which number is closer to 0, meaning that number is bigger.
-9/10 = -0.9
-10/10 = -1
We see -0.9 is closer to 0, meaning it is bigger.
So, - \(\frac{9}{10}\) > - \(\frac{10}{10}\)
Find the missing side of the triangle. Round to the nearest tenth where necessary (one decimal place). WRITE ONLY THE NUMERICAL VALUE (10 yd = 10).
Answers
Answer:
35.6
Step-by-step explanation:
By the Pythagorean Theorem:
\( {x}^{2} + {91.3}^{2} = {98}^{2} \)
\(x = \sqrt{ {98}^{2} - {91.3}^{2} } = 35.6\)
2+2=x
a.3
b.9
c,5
d.4
Answers
Answer:
D. 4
Step-by-step explanation:
2 + 2 = 4
PLEASE HELP AND ANSWER FAST I NEED HELP IF YOUR CORRRECT YOU GET BRAINLIST
A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.
Type of Transportation Number of Visitors
Walk 120
Bicycle 24
Car Service 45
Bus 30
Subway 81
Which of the following circle graphs correctly represents the data in the table?
circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 20 percent, car service 30 percent, bus 16 percent, and walk 54 percent
Answers
Answer:
The second circle graph, labeled "New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent" correctly represents the data in the table.
Step-by-step explanation:
The correct circle graph would have five sections labeled walk, bicycle, car service, bus, and subway, with each section representing the percentage of visitors who used that mode of transportation.
To find the percentage for each mode of transportation, we need to calculate the total number of visitors:
Total number of visitors = 120 + 24 + 45 + 30 + 81 = 300
Now we can calculate the percentage of visitors for each mode of transportation:
Walk: 120/300 x 100% = 40%
Bicycle: 24/300 x 100% = 8%
Car Service: 45/300 x 100% = 15%
Bus: 30/300 x 100% = 10%
Subway: 81/300 x 100% = 27%
Therefore, the correct circle graph would have the following sections and percentages:
Walk: 40%
Bicycle: 8%
Car Service: 15%
Bus: 10%
Subway: 27%
Answer: New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
Step-by-step explanation: i jus did it
The price of a cup of coffee has dropped to $2.50 today. Yesterday's price was $2.75. Find the percentage decrease. Round your answer to the nearest tenth of
a percent.
Answers
Answer:
9.1%
Step-by-step explanation:
The price of a coffee has dropped to $2.50
Yesterday the price was $2.75
Therefore the percentage decrease can be calculated as follows
= 2.50 - 2.75/2.75 × 100
= -0.25/2.75 ×100
= 0.09090 × 100
= 9.1%
Hence the percentage decrease is 9.1%
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
Answers
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
Answers
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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The diagram shows a prism. Draw the front and side elevation of the prism on the grid. Use the scale 2 squares to 1m.
I know that the side elevation is correct but I can't get the front. Please help!
Answers
The sketch of the front elevation and the side elevation of the prism are added as an attachment
How to draw the front elevation and the side elevation of the prismFrom the question, we have the following parameters that can be used in our computation:
The prism
Using the figure as a guide, we understand that:
The front elevation is a rectangle of 2m by 0.5m
While the side elevation is a rectangle merged with a trapezoid
Next, we draw the elevations (see attachment)
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Jason had a 15 foot long bed his sister had a 3 foot longer bed then Jason, How long is his sisters bed?
Answers
Answer:
18
Step-by-step explanation:
basic math :/
What is the length of EF in the right triangle below?
D
26
10
E
F
Answers
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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What is 3763.2 ÷0.512 with the work that goes with it.
Answers
Answer:
7350
Explanation:
3763.2/0.512 can be determined by simply dividing.
The population of a small town increased from 25,056 people in 2002 36,720 in 2010 what is the percentage change in the population
Answers
well, we know in 2002 it was 25,056, then it ballooned to 36,720 in 2010, the difference is really 36720-25056 = 11664.
now, if we take 25,056(origin amount) to be the 100%, what's 11664 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25056 & 100\\ 11664& x \end{array} \implies \cfrac{25056}{11664}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 58 }{ 27 } ~~=~~ \cfrac{ 100 }{ x }\implies 58x=2700\implies x=\cfrac{2700}{58} \implies x\approx \stackrel{\%}{46.55}\)
Help asap please
Asap
Answers
The correct matching of the fractions
0.1 - 1/10
0.01 - 1/100
100% - 1
What is a fraction?A fraction is a way of representing a part of a whole or a quantity that is less than one. Fractions consist of two numbers separated by a horizontal or diagonal line, with the number above the line being called the numerator and the number below the line being called the denominator.
The numerator represents how many parts of the whole are being considered, while the denominator represents the total number of equal parts that the whole is divided into.
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A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1900 seats. The students filled 44% of the seats in the theater. How many 6th graders went on the trip?
Answers
1900 * 0.44 = 836
Your grandmother will be giving you $10,000 every year for the next five years, the first payment beginning at the end of the first year
A) If you invest these receivables in a bank at 6%, what is the total value at the end of 10 years if you make withdrawals of $3,000 in years 9 and 10?
B) An investor expects to receive $3,000 in year 2, $5,000 in year 5, and $7,000 in year 7. What is the present value of these payments if the interest rate is 8%?
Please also write the Excel formulas.
Answers
Answer:
a. The present value of these receivables is $42,123.64
b. The total value at the end of 10 years is $69,257.02
c. The present value of these payments is $10,059.37
Step-by-step explanation:
Which situation can be represented by the expression 5.3d?
1. the total cost of an item that is d dollars more than $5.30
2.the total cost of d items that cost $5.30 each
3.the amount of change when $5.30 is used to pay for an item costing d dollars
4.the amount of change when $5.30 is used to pay for an item costing d dollars
Answers
Answer:
tang inamo ok please tell me
What is the equation of a circle with center at (4, -2) and a radius of 7?
Answers
let h= 4, k=-2 and r= 7 then
(x-h)^2 + (y-k)^2 = r^2
(x-4)^2 + (y+2)^2 = 7^2
x^2 -8x +16 + y^2 +4y +4 = 49
x^2 +y^2 -8x +4y +16 +4-49 = 0
x^2 + y^2 -8x +4y -29 = 0 is the required eq