Find T4, given the recursive formula Tn+1=T, * -2, where T1=5 and n=1,2,3,...
O 40
0-3
0-80
O-40

Answer:

50.24 cm²

Step-by-step explanation:

a = πr^2

r = d/2 = 8/2 = 4

a = 3.14(4²)

a = 3.14 * 16

a = 50.24 cm²

Answer:

65 miles per gallon

Step-by-step explanation:

To determine the number of miles per gallon, take the total number of miles driven and divide by the number of gallons used

292.5 miles/4.5 gallons

65 miles per gallon

Answer:

3. y=5x

4. y=6.5x

5. y=6x

6. y=20x

Step-by-step explanation:

Length of bike route A is 12(65)=780 and length of bike route B is 65.

Two or more expressions with an Equal sign is called as Equation.

Given that the Bike route A is 12 times as long as bike route B.

Let x be the length of the bike route B.

12x be the  length of the bike route B.

The total length of the bike trails is 845 miles

12x+x=845

13x=845

Divide both sides by 13

x=65

Length of bike route A is 12(65)=780 and length of bike route B is 65.

Hence, Length of bike route A is 12(65)=780 and length of bike route B is 65.

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Answer:

The interest rates implied by the combinations of present and future values are:

Present Value   Years   Future Value   Interest Rate

$310                     12             496                 3.994%

 138                      5              194                 7.049%

210                      8              210                  -0.000%

Step-by-step explanation:

a) Data and Calculations:

Present Value   Years   Future Value    Interest Rate

$310                     12             496                 3.994  %

 138                      5              194                  7.049%

210                      8              210                  -0.000%

b) You will need an annual return rate of 3.994% to reach the future value of $496.00.

FV (Future Value) $496.00

PV (Present Value) $310.00

N (Number of Periods) 12.000

I/Y (Interest Rate) 3.994%

PMT (Periodic Payment) $0.00

Starting Investment $310.00

Total Principal $310.00

Total Interest $186.00

c) You will need an annual return rate of 7.049% to reach the future value of $194.00.

FV (Future Value) $194.00

PV (Present Value) $138.00

N (Number of Periods) 5.000

I/Y (Interest Rate) 7.049%

PMT (Periodic Payment) $0.00

Starting Investment $138.00

Total Principal $138.00

Total Interest $56.00

d) You will need an annual return rate of -0.000% to reach the future value of $210.00.

FV (Future Value) $210.00

PV (Present Value) $210.00

N (Number of Periods) 8.000

I/Y (Interest Rate) -0.000%

PMT (Periodic Payment) $0.00

Starting Investment $210.00

Total Principal $210.00

Total Interest $-0.00

Answer:

You can expect to make $250.

Step-by-step explanation:

Possible outcomes:

For the pair of dice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

So 36 total outcomes.

Probability of the second number rolled being the same as the first number rolled:

6 outcomes: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)

Out of 36, thus:

\(p = \frac{6}{36} = \frac{1}{6}\)

Expected value of 1 game:

1/6 probability of earning $25.

5/6 probability of losing $2.

Thus:

\(E = 25\frac{1}{6} - 2\frac{5}{6} = \frac{25 - 10}{6} = 2.5\)

100 games:

100*2.5 = 250

You can expect to make $250.

Answer:

??

Step-by-step explanation:

how you want the people answer if we can't see anything lol no offense...

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

90+115+65=270

360-270=90

Answer:

U=90°

Answer:

C) (f+g)(x)= 3x^3-2x^2+10x-12

Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

Answer:

13

Step-by-step explanation:

3n=12+1=13

The mass of the sugar that is contained in the juice is 19.6 g.

In mathematics, a proportion is a statement that two ratios are equal. A ratio is the relationship between two quantities, usually expressed in the form of a fraction.

To solve a proportion, you can use cross-multiplication. Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio, and vice versa.

We know that;

24.5 g of sugar is contained in 250 ml of the juice

x g of sugar is contained in 200 mL of the juice

x = 24.5 * 200/250

x = 19.6 g

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\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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Answer:

Square root of 169 by Prime factorization is 13×13

Answer:

13*13

Hope this helped!

Answer:  From the calculations, the pair of points with a slope of 4 is option c. (0, -3), (1, 1).

Step-by-step explanation:  

To determine the slope between two points, we can use the formula:

slope = (change in y) / (change in x)

Let's calculate the slope for each pair of points:

a. (1, 4), (–1, 4)

The change in y is 4 - 4 = 0

The change in x is -1 - 1 = -2

slope = 0 / -2 = 0

b. (0, 4), (4, 0)

The change in y is 0 - 4 = -4

The change in x is 4 - 0 = 4

slope = -4 / 4 = -1

c. (0, –3), (1, 1)

The change in y is 1 - (-3) = 4

The change in x is 1 - 0 = 1

slope = 4 / 1 = 4

d. (3, 0), (–1, –1)

The change in y is -1 - 0 = -1

The change in x is -1 - 3 = -4

slope = -1 / -4 = 1/4

Answer:

c. (0, –3), (1, 1)

Step-by-step explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

a. (1, 4), (–1, 4)

m = (4-4)/(-1-1) = 0/-2 = 0

b. (0, 4), (4, 0)

m = ( 4-0)/(0-4) = 4/-4 = -1

c. (0, –3), (1, 1)

m = ( -3-1)/(0-1) -4/-1 = 4

d. (3, 0), (–1, –1)

m = (0--1)/(3 - -1) =1/4

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Step-by-step explanation:

normally a simple expression in x has no natural limitations.

but for fractions we have to pay attention, because we have to avoid results like .../0, as they are undefined.

so, 4x + 1 has no limitations, but x² - 1 must never be 0.

the only "bad cases" are

x² - 1 = 0

x² = 1

x = ±1

therefore, the domain (the definition of the valid values for x) is

x € R, x <> -1 and x <> 1

the range (the definition of valid values for y) is then any value between -infinity and +infinity.

simply because around x=-1 and x=+1 the tendency goes against - and + infinity.

Answer:

98

Step-by-step explanation:

it would be 70 percent of 140

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\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Okay, so first let's note down the points we've in the question.

To find how many pounds of the person who weighs 140 pounds is water, we need to multiply 140 into 7/10.

⇨ Let's solve it now.

\( \sf \: 140 \times \frac{7}{10} \\ \sf = 14 \bcancel{0} \times \frac{7}{1 \bcancel{0}} \\ \sf = 14 \times 7 \\ = \boxed{\boxed{\bf \: 98 \: pounds}}\)

The value of y is,  219.

What is the value of equation at a given point?

For an equation y = mx + b the value of equation at a given point is, if the value of x is given then by using this value to find the value of y.

Choose x and work out the equation for y, or, to locate points on the line

y = mx + b. Decide on y, then find x.

Consider, the given equation  y = 8.52 + 6.0

The value of x is 25.

By using this value we have to find the value of y.

Substitute x = 25 in the above equation.

\(y = 8.52x + 6.0\\y = 8.52(25) + 6.0\\y = 219\)

The for x = 25 the value of y = 219.

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Answer:

A. 1.5 Mil B. 0.67 Mil

Answer:

a) 1.5 milliliters,   b) 0.67 milliliters

Step-by-step explanation:

100 ml vinegar mixes with 150 ml soy sauce

So, 1 ml vinegar mixes with (150/100) = 1.5 ml soy sauce.

Again,

150 ml soy sauce mixes with 100 ml vinegar

So, 1 ml soy sauce mixes with (100/150) = 0.67 ml vinegar.

Hope, this will help and if so, then please mark me as brainliest.

Answer:

1) slope form
2) standard form

3)slope form

4)standard form

5) none of theese

6)point slope form

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

hope it helps!

Check the picture below.

They ate 5/8 of the cupcakes and 3/8 of the cupcakes are left.

Happy to help, have a great day! :)

Answer:

- Top Hat

- 14

- 37

Step-by-step explanation:

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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Answer:

2020

Step-by-step explanation:

if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023

it is the number in the middle.

for the first 3 numbers, it is 2019, 2020, 2021

the middle number is 2020