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Answer: exponential with a decay rate of

Step-by-step explanation:

Answer:

the greatest common factor is 1.

Step-by-step explanation:

The factors of 3 are: 1, 3

The factors of 3 are: 1, 3

The factors of 4 are: 1, 2, 4

The factors of 5 are: 1, 5

The factors of 5 are: 1, 5

The factors of 17 are: 1, 17

Then the greatest common factor is 1.

Answer:

19

Step-by-step explanation:

Arrange into parentheses and start at the innermost parentheses

\(5 + (2 \times (6 + (3 \div 3)))\)

Start with 3 ÷ 3

\(3 \div 3 = 1\)

Continue with the other parts of the equation in order

\(1 + 6 = 7\\7 \times 2 = 14\\14 + 5 = 19\\= 19\)

Hope this helped you understand better, have a great day!

Answer: look it up :)

Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.

Answer: x+9 or n+9

Step-by-step explanation: sum refers to addition you can put x for "a number"  thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n

Answer:

4200 square feet

Step-by-step explanation:

First, find the length of the room

Since the width is 60 feet, both widths add to 120.

Subtract 120 from 260, then divide that by 2:

(260 - 120) / 2

140 / 2

= 70

So, the length is 70 feet.

Use the area formula:

A = lw

A = (70)(60)

A = 4200

So, the area of Wendy's bedroom is 4200 square feet

The equation that can be used to predict the number of times that she will roll a number that is greater than four is E(X) = np = 50 x 1/3 = 16.67

Let X be the number of times Teri rolls a number greater than four.

Since each roll of the cube is independent and has an equal probability of landing on each of the six numbers, we can model the number of rolls of a number greater than four as a binomial random variable with parameters

n = 50 and

p = 2/6 = 1/3 (since there are two numbers greater than four on the cube which is 5 and 6).

Therefore, the probability of rolling a number greater than four on any given roll is p = 1/3, and the expected number of rolls of a number greater than four in 50 rolls is given as

E(X) = np = 50 x 1/3 = 16.67

This expected value can be used to estimate the number of rolls of a number greater than four that Teri will achieve in her 50 rolls..

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Sure, here is a diagram of a plane flying on a bearing of 140 degrees for 90km:

[Image of a plane flying on a bearing of 140 degrees for 90km]

The distance traveled south is 60km and the distance traveled east is 53.5km.

To calculate the distance traveled south, we can use the following formula:

distance = (90km * sin(140 degrees)) / 180 degrees

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This gives us a distance of 60km.

To calculate the distance traveled east, we can use the following formula:

distance = (90km * cos(140 degrees)) / 180 degrees

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This gives us a distance of 53.5km.

Answer: Both diagonals bisect each other.

Answer:

angle DGE= 24 Degree

arc GF= 146degree

Step-by-step explanation:

angle DGE is inscribed in arc DE and arc DE is 48 degree , as we know inscribed angle is half of the arc subyending it , so half of 48 is 24 degree

arc GF subtended the angle GEF which is equal to 73 degree , and this angle is inscribed , if we say inscribed angle is half of the arc subtending it , this means the arc is twice of inscribed angle , so twice of 73 is 146 degree so

angle DGE =24 degree &

ARC GF=146 degree

Answer:

288

HOPE it helped

thankyou

The value of the investment after 13 years in a fund that pays 6.8% interest compounded monthly is B. $95,551.

Compound interest is the interest that is accrued on both principal and previous interests.

Using compound interest, the principal amount continues to increase by the additional periodic interests, which are added to the principal, until the maturity period

N (# of periods) = 156 months (13 x 12)

I/Y (Interest per year) = 6.8%

PV (Present Value) = $40,000

PMT (Periodic Payment) = 0

Settings

C/Y (# of times interest compound per year) = 12

Results:

FV = $95,551 ($40,000 + $55,551)

Total Interest $55,551

Thus, the value of the investment after 13 years in a fund that pays 6.8% interest compounded monthly is B. $95,551.

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Answer: 166 2/3m

Step-by-step explanation:

Area of a rectangle = length times width

Length: 16 2/3

To find the width, multiply it by 3/5.

w = 16 2/3 ·  3/5

w = 10

Then, multiply the length by the width.

a = l · w

a = 16 2/3 · 10

a = 166 2/3m

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

9514 1404 393

Answer:

  35gh

Step-by-step explanation:

The standard form has one coefficient, and generally has the variables in lexicographical order.

  35gh

Answer:

B. 1/√2

Step-by-step explanation:

Soh Cah Toa

cos is adjacent over hypotenuse so from either 45° degree angle it is 1/√2

For the given right angle triangle, cos 45 = 1/√2

Hence, option B is correct.

In the given triangle,

Adjacent  = 1

Hypotenuse = √2

Since we know,

The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

For a right angled triangle,

Cosθ = adjacent / hypotenuse

Therefore,

cos 45 = 1/√2

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Answer:

Jamie would pay an extra $332.80

Step-by-step explanation:

Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

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\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

The equation of a line is y  = -6x + 8 if the line is perpendicular to the line t and passes through (2, -4).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The slope of the line t:

M = 1/6

The slope of the line which is perpendicular to the line t

m = -6

The equation of the line:

y + 4 = -6(x - 2)

y = -6x + 12 - 4

y  = -6x + 8

Thus, the equation of a line is y  = -6x + 8 if the line is perpendicular to the line t and passes through (2, -4).

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The point on the parabola closest to (8, 1 + √2) is P(2(3 + 2√2), 11 + 8√2).

In mathematics, the point where a plane and a cone intersect is known as a parabola.

A parabola's shape makes it symmetrical about a single axis known as the axis of symmetry.

To find the point on parabola closest to the point (8, 1 + √2), we need to minimize the distance between the point and the parabola.

A point on the parabola y = x2 + 1 is designated as P(x, y).

The distance between P and (8, 1 + √2) is given by the distance formula:

d = √[(x - 8)² + (y - 1 - √2)²]

We want to minimize this distance by finding the values of x and y that minimize d.

Let f(x, y) = (x - 8)² + (y - 1 - √2)² and g(x, y) = y - x² - 1.

Our objective is to find the x and y values that minimise f(x, y) while observing the constraint g(x, y) = 0.

The Lagrange function is given by:

L(x, y, λ) = f(x, y) - λg(x, y)

By taking partial derivatives of L w.r.t x, y, and λ, we get:

∂L/∂x = 2(x - 8) - 2λx = 0

∂L/∂y = 2(y - 1 - √2) - λ = 0

∂L/∂λ = y - x² - 1 = 0

Solving these equations simultaneously, we get:

x = 4/(1 + λ)

y = x^2 + 1 = 16/(1 + λ)² + 1

λ = (2√2 - 1)/(1 + √2)

On substituting λ into the expressions -

x = 2(3 + 2√2)

y = 11 + 8√2

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Answer:

To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:

0.05 x 3.8 = 0.19

So, 0.19 gallons of engine oil should be added to the jerry can.

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

The solution for the linear equation:

x - (2/3)*x - (1/2) = (1/3) + (5/6)*x

Is x = -5/3

Is hard to understand what you wanted to write, but I assume that the linear equation that we need to solve is:

x - (2/3)*x - (1/2) = (1/3) + (5/6)*x

To solve this linear equation, we need to isolate the variable x in one of the sides of the equation

To do so, we move all the terms with "x" to the left side and the terms without to the right side:

x - (2/3)*x - (5/6)*x = 1/3 + 1/2

Now we solve this:

x - (4/6)x - (5/6)x = 2/6 + 3/6

x - (9/6)*x = 5/6

We can write the "1" in the first term as 6/6

(6/6)*x - (9/6)*x = 5/6

(-3/6)*x = 5/6

-3x = 5

x = 5/-3

x = -5/3

That is the solution of the linear equation.

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Answer:

$4999.69

Step-by-step explanation:

F = Pe^(rt)

F = $4350 * e^(0.0232 * 6)

F = $4999.69

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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Answer:

Slightly greater than 1.

Step-by-step explanation:

Greater than 1

Convert each to fractions with common denominators

(2 + 7/8) - (1 + 7/9)

2 + 7/8 - 1 - 7/9

1 + 7/8 - 7/9

1 + 63/72 - 56/72

1 + 7/72

1  7/72 is slightly greater than 1.

Answer:

1 yard = 3 feet

so...

22 yards = 3 (22)

3 x 22 = 66

conversion factor: 3/1

Step-by-step explanation:

Answer:

3 feet over 1 yard

Step-by-step explanation:

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