use the explicit formula to find the 41st term of the sequence, 10,4,-2,-8
GIVING 65 POINTS

Answer:

Option C) 2

Step-by-step explanation:

We are given the following information in the question:

[tex]\displaystyle\frac{a}{b} = 2[/tex]

We have to find the value of [tex]\displaystyle\frac{4b}{a}[/tex].

The solving can be done in the following manner:

[tex]\displaystyle\frac{a}{b} = 2\\\\\RIghtarrow \frac{b}{a} = \frac{1}{2}\\\\\text{Multiplyimg both sides by 4}\\\\4\times \frac{b}{a} =4\times \frac{1}{2}\\\\\frac{4 b}{a} = \frac{4}{2} = 2[/tex]

Option C) 2 is the correct answer.

In the given case, If a/b = 2, the value of 4b/a is 4. Option C is correct.

The answer is C.

The value of an expression in mathematics refers to the result obtained when you perform the specified operations or calculations with the given variables, numbers, or mathematical symbols.

Expressions can be simple or complex and may involve addition, subtraction, multiplication, division, exponentiation, and various mathematical functions.

We are given that a/b = 2.

Solving for b, we get b = a/2.

Substituting this into 4b/a, we get:

4b/a = 4(a/2)/a = 2a/a = 2

Therefore, the value of 4b/a is 2.

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[tex]\left\{\begin{array}{ccc}9x-8y=2\\-3x-9y=-24&\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}9x-8y=2\\-9x-27y=-72\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-35y=-70\qquad\text{divide both sides by (-35)}\\.\qquad\qquad\boxed{y=2}\\\\\text{Put the value of y to the second equation}:\\\\-3x-9(2)=-24\\-3x-18=-24\qquad\text{add 18 to both sides}\\-3x=-6\qquad\text{divide both sides by (-3)}\\\boxed{x=2}\\\\Answer:\ \boxed{x=2}[/tex]

Answer:

x coordinate is 2

Step-by-step explanation:

We have given,

9x - 8y = 2   .........(1)

-3x - 9y = -24   ...............(2)

We use elimination method to eliminate y.

We multiply equation (1) by 9 and equation (2) by 8.

We get,

{ 9x - 8y = 2} × 9   or  81x - 72y = 18    -------------(3)

{-3x - 9y = - 24} × 8  or -24x - 72y = -192  -----------(4)

And subtract equation (4) from equation (3)

So , (81x - 72y ) - (-24x -72y)= 18 -(-192)

or 105x = 210

or x = 210/105

or x= 2

Hence we get x coordinate as x= 2

Answer:

[tex]f(x-1)=-3x+10[/tex]

Step-by-step explanation:

Substitute [tex]x-1[/tex] instead of [tex]x[/tex] into the function expression:

if [tex]f(x)=-3x+7,[/tex] then

[tex]f(x-1)=-3(x-1)+7=-3x+3+7=-3x+10.[/tex]

You get the expression [tex]f(x-1)=-3x+10.[/tex]

Answer:-5*5=-25

Step-by-step explanation: If -5=x, since 1=y, then plug it in to the equation to get -25

Answer:

(-1,1) got it right on plato :)

Answer:

The angle 6 measures 54 degrees

Step-by-step explanation:

Angle 6 is congruent to angle 7 ("-2x+34") as it is an opposite angle in straight line intersection. But angle 6 is congruent to angle 2 (-9x-36) due to the two horizontal lines being parallel. So we can write the following equality to determine the value of x:

-2x + 34 = -9x -36

7x = -70

==> x = -10

Now we can answer the question:  the angle 6 is

-2x + 34 = -2(-10)+34 = 54 degrees

Hi, so your answer is the second one

Answer: with 11 miles, it can travel 220 miles

I am a butterfly! Look at my wings! Lol.

Anyways. 8*4=32

5*4=20

Leila made $20

-TheOneandOnly003

Answer:

48 pages

Step-by-step explanation:

So Colton's rate of using pages is:

9 pages/3 hours = 3 pages per hour.

Thus, we can find out how many pages he uses after 16 hours by multiplying

3 pages × 16 hours, which equals to 48 pages of notes.

Hope this helps!

Answer:

a. opens: downward

b. vertex: (4, 2)

c. x-intercepts: (2, 0), (6, 0); y-intercept: (0, -6)

d. a.o.s.: x = 4

Step-by-step explanation:

Based on the picture the parabola opens downwards. Right away you know that the "a" value in the parabola's equation will be negative.

To find the coordinates of the vertex, you'll need to look at the picture. Remember: look on the x-axis first and then the y-axis next.

The very top of the parabola (maximum point = vertex) is at the x-value of 4 and the y-value of 2. This means the coordinates of the vertex of this parabola is (4, 2).

To find the x-intercepts, look at the x-axis and see where the parabola crosses it. The parabola goes through the x-axis at the x-values of 2 and 6, so the x-intercepts of this parabola are (2, 0) and (6, 0).

To find the y-intercept, look at the y-axis and see where the parabola crosses it. The parabola intersects the y-axis at the y-value of -6, so (0, -6) would be the y-intercept.

The equation for the axis of symmetry of a graph is always x = h, where h is the x-value of the coordinate of the vertex.

Since the vertex is (4, 2), where 4 = h, the equation of the axis of symmetry would be x = 4.

Answer:

35 words per minute

Step-by-step explanation:

To find the unit rate, we divide the number of words  by the number of minutes

70/2

35 words per minute

The unit rate of 70 words per 2 minutes is found by dividing the total words by the minutes, resulting in a unit rate of 35 words per minute.

To find the unit rate, we calculate the number of words that can be written or read per unit of time, which is usually one minute. Given 70 words per 2 minutes, we divide the number of words by the number of minutes to find the unit rate.

Step 1: Divide 70 by 2 to find the number of words per minute.

70 words / 2 minutes = 35 words per minute.

Therefore, the unit rate is 35 words per minute.

Answer:

9/20

Step-by-step explanation:

1/3 *  3/5 * 2 1/4 =

1/3 * 3/5 * 9/4=

1/5 * 9/4 =

9/20

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

change the mixed number to an improper fraction

2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]

We have to calculate

[tex]\frac{1}{3}[/tex] × [tex]\frac{3}{5}[/tex] × [tex]\frac{9}{4}[/tex]

simplify by cancelling the 3's on the numerator/denominator

then

= 1 × [tex]\frac{1}{5}[/tex] × [tex]\frac{9}{4}[/tex]

multiply the remaining values on the numerators /denominators

= [tex]\frac{9}{5(4)}[/tex] = [tex]\frac{9}{20}[/tex]

Answer:

No you can't because just like multiplication, you cant divide anything by zero.

Step-by-step explanation:

You must evaluate the function f first.  Division by 0 is undefined.

Therefore, The composition cannot be evaluated.

Answer:

sample answer on edg2020

Step-by-step explanation:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

Answer:

2072.56

Step-by-step explanation:

a=1030(1+0.06)^12

Answer:

$2072.60

Step-by-step explanation:

Every year you add on 6% so the multiplier  will be 1.06

so start off:

1030 x 1.06 = 1091.8

1091.8 x 1.06 = 1157.308

.......... you repeat this 12 times for every year and the final answer is

2072.6562366

you take that answer and round it to 2072.60

Hope this helps :)  

Answer:

Step-by-step explanation:

Plz mark it as brainliest

Answer:

15 points vertically.

Step-by-step explanation:

change -8 to 8, then add the 2 numbers in the y axis and you will get 15. brainliest?

The probability that a randomly selected light bulb will last between 750 and 825 hours is 34.13%. This is calculated through standardization of the desired range into z-scores, and reference to the standard normal distribution table.

The question is about finding the probability that a randomly selected light bulb will last between 750 and 825 hours, given that the life of light bulbs is normally distributed with a mean of 750 hours and a standard deviation of 75 hours.

Firstly, standardize the desired range by subtracting the mean and dividing by the standard deviation. This will give us the z-score: Z = (X - μ) / σ. For X = 750, Z1 = (750 - 750) / 75 = 0. For X = 825, Z2 = (825 - 750) / 75 = 1.

We can then use the Z-table or standard normal distribution table to find the probability associated with these z-scores. Since the z-score for 750 is 0, the probability is 0.5 (or 50%, as it's the mean). For z=1, the probability is 0.8413 (or 84.13%).

The probability that the bulb will last between 750 and 825 hours is then calculated by subtracting the smaller probability from the larger one: 0.8413 - 0.5 = 0.3413 or 34.13%

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To find the probability, calculate the z-scores for the values and use the standard normal distribution table which is 34.13%

To find the probability that a randomly selected light bulb will last between 750 and 825 hours, we need to calculate the z-scores for both values and then use the standard normal distribution table. The z-score is calculated using the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. For 750 hours, the z-score is 0, and for 825 hours, the z-score is (825 - 750) / 75 = 1.

Using the standard normal distribution table, the probability corresponding to a z-score of 0 is 0.5, and the probability corresponding to a z-score of 1 is 0.8413.

Therefore, the probability that a randomly selected light bulb will last between 750 and 825 hours is 0.8413 - 0.5 = 0.3413, or 34.13%.

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Answer:

The answer is true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

The students who never want to travel to another country Y= 7S/10 -40

Step-by-step explanation:

Let's assume the number of students who have never been to another country be Y.

Then as per question 30% percent students have traveled out of the country.

Therefore 70% students out of S have never traveled to another country.

Equation becomes like Y= S×70÷100

                                       Y = 7S/10

Now it is stated that 40 students of the students who have never been out of the country had eventually travel to another country.

Therefore the equation will be Y = 7S/10-40

Answer:

She will owe $500

Step-by-step explanation:

Answer:

She will owe $500 after 4 payments.

Step-by-step explanation:

With the help of graph

Number of payments (x)      Balance remaining(y)

         0                                         2500

         1                                          2000

         2                                         1500

Since it is linear function .

So, we will use two point slope form to find the equation for the given situation.

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]   ----A

[tex](x_1,y_1)=(0,2500)[/tex]

[tex](x_2,y_2)=(1,2000)[/tex]

Substitute the values in A

[tex]y-2500=\frac{2000-2500}{1-0}(x-0)[/tex]

[tex]y-2500=-500x[/tex]

[tex]y=-500x+2500[/tex]

Where x is the number of payments

y is the remaining payment

This equation represents the given situation.

So, to find the amount remaining after 4 payments .Substitute x =4

[tex]y=-500(4)+2500[/tex]

[tex]y=-2000+2500[/tex]

[tex]y=500[/tex]

Hence she will owe $500 after 4 payments.

Answer:

Interest for 1 year is $80.50

Step-by-step explanation:

Simple interest is given by the formula

I =PRT

where I is the interest, P is the principal, R is the rate in decimal form, and T is the time.

P =3500

R=.023

T = 1     (1 year)

I = (3500) * (.023) (1)

I = 80.50

Answer:

10 & 14

Step-by-step explanation:

10 + 14 = 24

14 - 10 = 4

Answer:

Product A.

Step-by-step explanation:

The unit price of product A is $1.36/8oz = $0.17/oz.

The unit price of product B is $3.20/16oz = $0.20/oz.

Answer:

not 100% about this answer but I think it is the 8oz bottle

Step-by-step explanation:

take $1.36 and divide it by 8 which gives you .17 which is 17 cents per oz now do the same thing for the 16 oz so take $3.20 and divide it by 16 and you get .2 which is 20 cents per oz so the 8oz has the lowest unit price of the two!

The dilation of ΔABC by a scale factor of 0.25 maps B to B' and C to C'. Using the distance formula, we find that the length of B'C' is 5 units.

The problem is essentially asking for the length of line segment B'C' in the dilated triangle ΔA'B'C'. When an object undergoes a dilation by scale factor of 0.25, this means that every point x, y is mapped to 0.25x, 0.25y. So points B and C map to B' and C' as follows:

B(2, 1) --> B'(2*0.25, 1*0.25) = B'(0.5, 0.25)
C(14, 17) --> C'(14*0.25, 17*0.25) = C'(3.5, 4.25).

The length B'C' then equals the distance between B' and C', which can be found using the distance formula [tex]\sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]. So the calculation is [tex]\sqrt{(3.5 - 0.5)^2 + (4.25 - 0.25)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5 \text{ units}[/tex].

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Answer:

a: x=16 y=8

b. x=6 y=28

Step-by-step explanation:

Answer: c is less than zero (third choice)

The parent nth root function (n is some odd number) will look like this sideways S shape, or look like a rotated cubic curve shape. The vertical flat part of the nth root is normally at (0,0); however, it has been shifted down and to the left. Because it has been shifted down, this means c must be negative. The 'c' handles the up and down shifting, depending whether its positive or negative.

Final answer:

The question pertains to the Mathematics subject, specifically within the college-level coursework of precalculus and calculus, with a focus on problem-solving, series expansions, and statistical analysis.

Explanation:

The subject of the question provided falls under the category of Mathematics since it includes discussions of precalculus class scores, calculus problems, concepts of slopes, and statistical analysis regarding the pass rates of calculus courses. The given question pertains at the college level, addressing issues found in a first-year Calculus course (Math 1A and Math 1B). The precalculus scores are likely used to determine statistical measures, such as the mean or median of the data. Problem-solving suggestions hint at understanding mathematical functions and their power series expansions, which are topics covered in calculus. Strategies for solving integrated concept problems involve identifying relevant mathematical principles and applying them correctly.

The issue with the data from precalculus scores and calculus pass rates suggests application of statistical analysis and highlights the importance of accommodation for various mathematical representations, which could include analytical techniques.

Final answer:

The man originally had $99. We determined this by setting up an equation based on the remaining amount after spending and misplacing portions of his money, then we solved for the original total.

Explanation:

To solve for the original amount of money the man had, let's call that amount x. First, he spent two-thirds of his money, which is (2/3)x. The remainder is x - (2/3)x = (1/3)x. He then misplaced one-third of this remainder which is (1/3) of (1/3)x = (1/9)x. So the portion he was left with is (1/3)x - (1/9)x = (2/9)x.

Since we know the final amount left is $22, we can express this as an equation:

To find x, we will divide both sides of the equation by (2/9):

When dividing by a fraction, we multiply by its reciprocal which is (9/2):

Therefore, the man originally had $99.

Answer:

8

Step-by-step explanation:

So solving for x, 1/4x=2. So x=8

[tex]\text{Domain}\\\\y-9 > 0\to y>9\\\\------------------------\\\\\log_4(y-9)+\log_43=\log_481\qquad\text{use}\ \log x+\log y=\log(xy)\\\\\log_4[3(y-9)]=\log_481\qquad\text{use distributive property}\\\\\log_4(3y-27)=\log_481\iff3y-27=81\qquad\text{add 27 to both sides}\\\\3y=108\qquad\text{divide both sides by 3}\\\\\boxed{y=36}\in D\\\\Answer:\ \boxed{y=36}[/tex]

Answer:

y = 36

Step-by-step explanation:

log4 (y – 9) + log4 3 = log4 81.

We know from the property of logs that if the bases are the same, when we subtract logs, we can divide what is inside

loga (b) + loga (b) = loga (b*c)

Lets simplify the expression log4( (y-9)*3) = log4 (81)

Since the bases are the same, what is inside the parentheses on the left hand side  must be equal to what is inside the parentheses o the right hand side

(y-9)*3 = 81

Divide each side by 3

(y-9)*3 /3= 81/3

y-9 = 27

Add 9 to each side

y-9+9 = 27+9

y = 36