Answers
We are given the first term and the common difference.
So,
[tex]a_{1}=-10 \\ \\ d=5[/tex]
Using these values in the given equation, we get:
[tex] a_{n} =-10+(n-1)*5 \\ \\ a_{n} = -10 + 5n - 5 \\ \\ a_{n} = 5n -15[/tex]
So, option C gives the correct answer.
Related Questions
PLEASE HELP ME OUT ON THIS CRITICAL HARD QUESTION!!!!!!!! NEEDS THINKING!!!! MARK THE BRAINIEST
Answers
The first thing you have to do is make sure that the sales reps face the same conditions. Geography is going to matter. Start with the simple stuff. Does it matter whether or not the sales representatives were in the city of the country? If in the country, do the people have money enough to buy what is being sold? If in the city, what is the employment situation like? Make sure that you are comparing Apples and Apples.
What about crops? Do they matter? What about livestock does it matter? What do these rural areas need? Is he selling what they need? It's going to be harder to sell something in Detroit or Flint than it is San Francisco?
Did people experience a devastating winter? Especially in the Northeast? If they did, their heating bills are going through the roof. Literally. More money on heating less on whatever he's selling.
In short he has to consider conditions. Perhaps training will make no difference. There's other things that people have to live through. Maybe this was just a bad year. (It certainly was where I live. We got nothing but snow into mid April and East winds which are strong, cold, miserable and very nasty.)
Credit scores. I'd be well aware of any credit stats that I can obtain. What are people doing with their credit cards. You may be able to sell the stuff on credit, but will you ever receive payment that you can rely on or are these people one step away from bankruptcy? Is it different in the rural areas than in the cities? I can tell you I would hate to have it known that I disregard my credit cards in the town I live in (700 people). It would be cash only for everything.
Single or married? What's the demographics of the areas he's trying to sell in. We're retired. We don't take well to door to door sales people. Retired people have very little money to throw away on things we don't need. People on 3000 a month live very differently from those on 10000 a month.
Finally what's the competition like? Sears going under is a huge warning. Where do people get the products you are selling? This is especially important in rural areas. We have made over 170 mail purchases (we won't do that any more -- postage rates are just prohibitive).
If he has a sales force of 1000 people in 2 regions, he should think about moving some of them to other regions. Don't use this point.
Many of the things I've pointed out require a study before the the training is administered. You have to separate out what mitigates the efforts of the sales force and what they have little or no control over.
The equation of a hyperbola is 5x2 − y2 = 25. What is the area of the asymptote rectangle?
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now, the asymptotes rectangle is a rectangle that is (a+a) in width and (b+b) in length, thus its area is 2a*2b,
[tex]\bf \stackrel{2a}{2\sqrt{5}}~~\times ~~\stackrel{2b}{2\cdot 5}\implies 20\sqrt{5}[/tex]
# 12 Q please find the volume
Answers
The can of soup is a cylinder.
To find the area of a cylinder, the formula is [tex] \pi [/tex] x r^2 x h
Plug in the given into the formula.
The can of soup is a cylinder.
Area of cylinder = the formula is x r^2 x h
Substitute all the given and it will give you the answer of 1256.0 cm^3.
A map has the scale 2 centimeters = 1 kilometer. on a map, the area of a forest preserve is 3.8 square centimeters. what is the area of the actual forest preserve
Answers
the scale is 2 cm/1 km
on a map, the area of a forest preserve is 3.8 cm²
assuming it has a square shape
the length side of the square is √3.8 cm
so
if 2 cm on a map-----------------> is a 1 km in the actual
√3.8 cm------------------------> x
x=√3.8/2 km
the area of the actual forest preserve is
(√3.8/2)*(√3.8/2)----> 3.8/4---> 0.95 km²
the answer is
0.95 km²
To find the actual area of the forest preserve, the map area of 3.8 cm² is multiplied by the scale ratio squared (0.25 km²/cm²), resulting in an actual area of 0.95 km².
Explanation:The area of the actual forest preserve can be calculated by using the scale given, which is 2 centimeters = 1 kilometer. First, we need to convert the area on the map into the actual area using this scale. Since the scale is linear and the area is measured in square units, we need to square the scale ratio to convert the area on the map to the actual area.
To do this conversion we consider that the scale of 2 cm : 1 km means that every 1 cm on the map is equivalent to 0.5 km (since 2 cm is 1 km). Therefore, for the area, we get the following ratio: (1 cm² = 0.5 km) × (1 cm² = 0.5 km), which simplifies to 1 cm² = 0.25 km². Now, we can find the actual area of the forest preserve by multiplying the 3.8 cm² area on the map by the value of each square centimeter in real-life units, which is 0.25 km².
Actual area = Map area × Scale ratio squared
= 3.8 cm² × 0.25 km²/cm²
= 0.95 km².
Therefore, the forest preserve has an actual area of 0.95 square kilometers.
What are the relationships among radii, chords, tangents, and inscribed angles?
Answers
The plural of radius is what we call radii. For any line that joins the center or is joining the center to any point in the circumference of a circle is what we call radii.
Note:
If there is an infinite line from the center to circumference then is it called infinite radii.
For any line that joins or is joining two points on the circumference of a circle is known as chord and any line touching the circle is what we call as tangent to the circle.
Lastly, the intersection of bisector angles is known as in-center or inscribed.
Below are attached pictures of figures
What is the sum of the first 51 consecutive odd positive integers?
Answers
[tex] a_{n} [/tex] as the set of the first 51 consecutive odd positive integers, so:
[tex]a_{n} = \{1, 3, 5, 7, 9...\} [/tex]
Where:
[tex]a_{1} = 1[/tex]
[tex]a_{2} = 3 [/tex]
[tex]a_{3} = 5 [/tex]
[tex]a_{4} = 7 [/tex]
[tex]a_{5} = 9 [/tex]
and so on.
In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:
3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.
Then, the common difference is 2, thus:
[tex]a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\} [/tex]
Then:
[tex]a_{n} = a_{1} + (n-1)d[/tex]
So, we need to find the sum of the members of the finite series, which is called arithmetic series:
There is a formula for arithmetic series, namely:
[tex] S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k[/tex]
Therefore, we need to find:
[tex] a_{k} = a_{51} [/tex]
Given that [tex]a_{1} = 1[/tex], then:
[tex]a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1 [/tex]
Thus:
[tex]a_{k} = a_{51} = 2(51)-1 = 101[/tex]
Lastly:
[tex] S_{51} = ( \frac{1 + 101}{2} ).51 = 2601[/tex]
Experts/ace/geniuses helppp asapp
Answers
therefore if you round the 3.1622... it would be closer to 3.2 so point F is actually correct
There are five green marbles numbered 1-5 and there are 4 yellow marbles numbered 1-4. what is the probability of picking a green or odd numbered marble
Answers
5+4=9
P(odd/green)=3/9 = 1/3 = .33 or 33% approximately
In a random sample survey of 80 students at Torrey’s middle school, 24 students said that math was their favorite subject. There are a total of 300 students at this middle school. Based on the survey, which value is the BEST estimate for the number of students who would say that math is their favorite subject?
Answers
[tex] \frac{24}{80} \times \frac{x}{100} \\ 80x = 2400 \\ x = 30 \\ 30\%[/tex]
Now, we multiply 300 by .3 to approximate how many students would choose math as their favorite subject
[tex]300 \times .3 = 90[/tex]
Estimating, 90 students would choose math as their favorite subject going off of the given data.
Final answer:
Based on the survey where 30% of 80 students favored math, the best estimate for the total number of students preferring math out of 300 at the middle school is 90 students.
Explanation:
In a random sample survey of 80 students at Torrey's middle school, 24 students said that math was their favorite subject. This represents 30% of the surveyed group (24 out of 80 students). To estimate the number of students who would say that math is their favorite subject throughout the entire middle school, we can use this percentage.
To find the estimated number of students who favor math in the whole school, which has 300 students, we apply the 30% to the total school population:
Total number of students: 300Percentage favoring math: 30%Estimated number of students favoring math: 300 students * 0.30 = 90 studentsTherefore, the best estimate for the number of students who would say that math is their favorite subject at this middle school is 90 students.
For the data set below, compute the standard deviation. Round to the nearest hundredth. 2, 3, 5, 8 2.03 2.20 2.6 4.5
Answers
To calculate the standard deviation, compute the mean, subtract it from each data point, square the results, average those and take the square root. Round to the nearest hundredth, and for one standard deviation below the mean, subtract the standard deviation from the mean.
Explanation:To calculate the standard deviation of a data set, you can use a calculator or a computer. The formula for standard deviation is the square root of the variance, which is the average of the squared differences between each data point and the mean of the data set. Let's compute the mean and standard deviation of the provided data set: 2, 3, 5, 8, 2.03, 2.20, 2.6, 4.5.
Calculate the mean (average) of the data.Subtract the mean from each data point and square the result.Find the average of these squared differences.Take the square root of this average to get the standard deviation.
You may round the standard deviation to the nearest hundredth as requested.
To find the value that is one standard deviation below the mean, subtract the standard deviation from the mean.
hey can you please help me posted picture of question
Answers
The parent absolute function is y = |x| and its has only one x-intercept which occurs at x = 0
The rest statements are true. As x value gets closer to 0, the y values also gets closer to zero.
So, correct statements are options 2,3,4
Consider a box with a square base that has a volume of 64 cubic inches and a height of 4 inches. What is the volume of a similar box whose square base has an area of 4 square inches?
Answers
That being said, the first box had dimensions of 4x4x4 - and this is confirmed by the volume being 64 sq. in. and the height being told to us as 4 in. as well as the square base having to have equal sides.
Because of this, since the question states "similar," all of the dimensions have to be reduced by the same factor. Since the square base was reduced by 1/2, we can assume the height is also reduced by 1/2, thus giving us a height of the new box as 2 in.
So, the volume of the new box is 2x2x2, which equals 8 sq. in.
Evaluate the expression
4^2+6⋅5^2−3^3÷3^2.
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Evaluate exponents:
[tex]=16 + 6 \times 25- 27 \div 9[/tex]
Evaluate multiplication and division:
[tex]= 16 + 150- 3[/tex]
Evaluate addition and subtraction:
[tex]= 163[/tex]
hey can you please help me posted picture of question
Answers
Thus, both horizontal and vertical translations are involved. Horizontal translation of 3 units to left can be obtained by adding 3 to x in the equation and vertical translation of 1 can be obtained by adding 1 to the entire function.
So,
G(x) = F(x+3) + 1
G(x) = (x+3)² + 1
Thus the correct answer is option C
The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse angles is 135°. Find the area of the trapezoid.
Answers
Ask me if you still don't understand it because I didn't write any explanation.
Answer:
45
Step-by-step explanation:
HOW CAN YOU WRITE THE EQUATION OF A LINE THAT IS PARALLEL AND/OR PERPENDICULAR TO ANOTHER LINE USING A POINT ON THAT LINE.?
Answers
y -k = m(x -h)
for a line of slope m through the point (h, k).
You can add k to this equation to put it in a form more like slope-intercept form:
y = m(x -h) +k
Either of these can be used to write the equation of a parallel or perpendicular line through the point (h, k). The slope "m" of a parallel line will match that of the given line.
The slope "m" of a perpendicular line will be the negative reciprocal of the slope of the given line. That is, if you are given a line with slope "s", the slope of the perpendicular line will be m = -1/s.
A ________ is a numerical quantity computed from the data of a sample and is used in reaching a decision on whether or not to reject the null hypothesis.
a. significance level
b. critical value
c. test statistic
d. parameter
Answers
b. critical value.
Therefore, you have that the text is: "A critical value is a numerical quantity computed from the data of a sample..."
This numeral quantity is used in statitics. Then, if the absolute value is greater that the quantity defined before, the null hypothesis must be rejected.
A statistician observes the number of heads that occur when a coin is tossed 1000 times
Answers
20 pt question on angles plz help
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and you should get x=10
so we can set S and T equal to each other and solve:
2x +5 = 5x-25
subtract 2x from each side:
5 = 3x-25
add 25 to each side:
30 = 3x
divide both sides by 3 to get x
x = 30 / 3
x = 10
now we know x so replace x with 10 and solve for S
S = 2(10) +5 = 20+5 = 25
angle S = 25 degrees
20 points math pls help brainliest.
Which table matches the function shown in the graph?
Which table matches the function shown in the graph?
Answers
Not 100% on both hope it helps though
number 1 is a
number 2 d
A car rental agency charges $50 per week plus $0.50 per mile to rent a car. What is the weekly cost to rent the car, f, as a function of the number of miles driven during the week, x. How many miles did you drive during the week if the weekly cost to rent the car was $100?
Answers
f(x) = 0.50x +50
B) You want to find x for f(x) = 100. Substitute the given numbers and solve for x.
100 = 0.50x +50
50 = 0.50x
50/0.50 = x
100 = x
You drove 100 miles during the week if the cost was $100.
The weekly cost to rent the car, f, as a function of the number of miles driven during the week, x, is f = 50 + 0.50x. If the weekly cost to rent the car was $100, the number of miles driven during the week is 200 miles.
Explanation:The weekly cost to rent the car, f, as a function of the number of miles driven during the week, x, can be calculated using the formula f = 50 + 0.50x. This is because the car rental agency charges $50 per week plus $0.50 per mile. To find the number of miles driven during the week if the weekly cost to rent the car was $100, we can substitute f = 100 into the formula and solve for x:
100 = 50 + 0.50x
50 = 0.50x
x = 100/0.50
x = 200
Therefore, the number of miles driven during the week is 200 miles.
Learn more about Calculating weekly cost and miles driven here:https://brainly.com/question/34287171
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if you throw a rubber ball toward the ground at an angle, it will bounce up feom the ground at the same angle. find the unknown angle measure in the drawing at the right.
Answers
A strait line is 180°
75°+75°=150°
180°-150°=30°
The circle shown here has area πr2. If its radius is tripled in length its new area will be
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what if the value of x? show all work
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We have then:
(root (117)) ^ 2 = x ^ 2 + 6 ^ 2
Clearing x we have:
x ^ 2 = (root (117)) ^ 2 - 6 ^ 2
Rewriting:
x = root (117-36)
x = root (81)
x = 9
Answer:
The value of x is given by:
x = 9 cm
10q-3r=14 write a formula for g (r) in terms of r
Answers
Answer:
3/10r +7/5
Step-by-step explanation:
10q−3r=14
10q=3r-14
10q=3r/10 +14/10
q=3/10r+7/5
To find g(r) in terms of r, the equation 10q-3r=14 is manipulated algebraically to isolate q as g(r)=(14+3r)/10.
Explanation:The student's question involves solving a linear equation for a variable. This is a standard algebraic task often encountered in high school mathematics. The student is given the equation 10q-3r=14 and is asked to write a formula for g(r) in terms of r, implying a need to solve for q as a function of r, which can be named g(r).
To isolate q, we perform algebraic manipulations:
First, add 3r to both sides of the equation to get 10q = 14 + 3r.Next, divide both sides of the equation by 10 to solve for q, which gives us q = (14 + 3r) / 10.Last, we rename q as g(r) which results in the final function: g(r) = (14 + 3r) / 10.This function represents q in terms of r, and g(r) is thereby defined.
find the surface area of the solid formed by the net
Answers
The area of a circle with diameter d is given by
A = (π/4)d²
The area of the rectangle is the product of its length (πd) and width (h).
A = πdh
So, the total area is the sum of the areas of 2 circles and the rectangle:
A = 2(π/4)d² +πdh
A = πd(d/2 +h)
A = π(8.46 ft)(4.23 ft +17.25 ft) = 181.7208π ft²
A ≈ 570.89 ft²
The surface area of the cylinder formed by the net is about 570.89 ft².
What is the sum of the numbers in the series below? 15 + 11 + 7 + . . . + (–129)
Answers
The sum of the numbers in the series is -8208.
Explanation:The sum of a series can be found using the formula for the sum of an arithmetic series, which is given by:
Sum = (n/2)(first term + last term),
where n is the number of terms and the first and last terms are provided in the series. In this case, the first term is 15 and the last term is -129. The common difference between each term is -4.
Using the formula, we have:
Sum = ([-129 - 15]/2)(15 + -129) = (-144/2)(-114) = 72 * -114 = -8208.
Therefore, the sum of the numbers in the series is -8208.
The quality control engineer for a furniture manufacturer is interested in the mean amount of force necessary to produce cracks in stressed oak furniture. she performs a two-tail test of the null hypothesis that the mean for the stressed oak furniture is 650. the calculated value of the z test statistic is a positive number that leads to a p-value of 0.080 for the test. 22 referring to scenario 9-6, suppose the engineer had decided that the alternative hypothesis to test was that the mean was greater than 650. what would be the p-value of this one-tail test? 0.040 0.960 0.840 0.160
Answers
Since the calculated p-value for a two-tailed test is 0.080, the p-value of a one-tailed test is half of it, which is 0.040.
Remember that the p-value is the area of the rejection region under the normal curve. The p-value of a two-tailed test will double the p-value of a single-tailed test considering all parameters to be the same.
Final answer:
The p-value for the one-tailed test, with the alternative hypothesis that the mean is greater than 650, is half the two-tailed p-value. Hence, the one-tailed p-value is 0.040.
Explanation:
The quality control engineer initially performed a two-tailed test with the null hypothesis that the mean force necessary to produce cracks in stressed oak furniture is 650. The calculated z-test statistic led to a two-tailed test p-value of 0.080. If the engineer had chosen an alternative hypothesis that the mean was greater than 650, the test would have been a one-tailed test. In a one-tailed test, you would only consider the probability on the side of the distribution that corresponds to the alternative hypothesis. Therefore, since the original two-tailed p-value was 0.080, for the one-tailed test, we would take half of that value which results in a p-value of 0.040.
Find the general form of the complete partial fraction decomposition of the integrand. use it to determine whether or not a term of each type listed below occurs in the complete partial fraction decomposition. select true if it does occur and false if it does not.
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If w = <3.5, -6> and z = <-1.5, -4>, what is the resulting vector for 2w − z?
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w = <3.5, -6>
z = <-1.5, -4>
We want to find:
2w - z
Substituting we have:
2w - z = 2 (<3.5, -6>) - (<-1.5, -4>)
Rewriting we have:
<7, -12> + <1.5, 4>
Adding component to component:
<(7 + 1.5), (-12 + 4)>
<8.5, -8>
Answer:
The resulting vector is:
<8.5, -8>
Answer:
C. <8.5, -8>
Step-by-step explanation:
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