Calculate Sy for the arithmetic sequence in which ag = 17 and the common difference is d =-21.O A -46O B.-29.2O C. 32.7O D. 71.3

The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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Let X and Y be IID Unif(0, 1). the distance between X and Y.Expected value: 0 and Standard deviation: \($\sqrt{\frac{1}{3}}$\)

Expected value:

E(X-Y)

= E(X) - E(Y) = 0 - 0 = 0

Standard deviation:

Var(X-Y) = Var(X) + Var(Y) = 1 + 1 = 2

SD(X-Y) = \($\sqrt{2}$ \\\) \(= $\sqrt{\frac{1}{3}}$\)

The expected value of X-Y is the difference of the expected values of X and Y, which are both 0 since they are both IID Unif(0, 1). The variance of X-Y is the sum of the variances of X and Y, which are both 1. Since the standard deviation is the square root of the variance, the standard deviation of X-Y is the square root of 2

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

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Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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After answering the provided question, we can conclude that So the equation for calculating how much Ada spent at the second store is 4.58 x $2.55 = $11.69 for eggs

An expression in mathematics is a collection of interpretations, digits, and transnational corporations that resemble a clear relationship or regimen. A sequence of numbers, a mutable, or a combo of the two can be used as an expression. Mathematical operators include addition, subtraction, growing influence, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Ada requires 110 eggs to make 40 egg tarts. She already bought 55 eggs from the first store. As a result, she must purchase 110 - 55 = 55 eggs from the second store.

Because eggs are sold by the dozen, Ada will need to purchase 55/12 4.58 dozen eggs.

Because each dozen costs $3.00 and is discounted by 15%, the cost of one dozen after the discount is:

$3.00 - (15/100) x $3.00 = $2.55

As a result, the total cost of 4.58 dozen eggs is:

4.58 x $2.55 = $11.69 (rounded to the nearest cent) (rounded to the nearest cent)

So the equation for calculating how much Ada spent at the second store is 4.58 x $2.55 = $11.69 for eggs

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Answer:

0.36 + 2.4x + 4x^2

Step-by-step explanation:

trinomial means in the format ax^2+bx+c

so in this case we just multiple

(0.6+2x)(0.6+2x) use FOIL (First Outer Inner Last

First: 0.6*0.6 = 0.36

Outer: 0.6*2x = 1.2x

Inner: 2x*0.6 = 1.2x

Last: 2x*2x = 4x^2

put them together 0.36+1.2x+1.2x+4x^2

simplify like terms 0.36+2.4x+4x^2

Hope this helps! :)

Answer: In decimal form, 14.85

Answer in fraction form: 297/20

Step-by-step explanation:

The sum of magnitude of u + v is 15.99.

The  magnitude or size of a mathematical object is described as a property which determines whether the object is larger or smaller than other objects of the same kind.

Given that, magnitude of u =  5

Magnitude of v = 11

The angle between them i= 40°

we represent u and v in vector form,

u = 5 ( cos 40° i + sin 40° j ) = 3.83 i + 3.21 j

v = 11 ( cos 40° i + sin 40° j ) = 8.42 i + 7.07 j

The sum of two vectors is given by

u + v = 3.83 i + 3.21 j +  8.42 i + 7.07 j

u + v = 12.25 i + 10.28 j

Magnitude of u + v = √(12.25²+10.28²)

Magnitude of u + v

Magnitude of u + v   = √( 150.063 + 105.678)

Magnitude of u + v = 15.99

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complete question:

Given the magnitudes of vectors u and v and the angle θ between them, find sum of . Give the magnitude to the nearest tenth when necessary and give the direction by specifying the angle that the resultant makes with u to the nearest degree. ∣ u∣ = 5, ∣ v∣ = 11, θ = 40°

Answer:

Camille can make 6 cards and will have 2 ribbons left

Step-by-step explanation:

Answer:That student has forgot to convert it into minutes and then convert it to hours

Step-by-step explanation:

1020/7=17 minutes and

17/60=0.283hours

Answer:

X=10

Step-by-step explanation:

20/2=10

Answer:

X =10

Step-by-step explanation:

20/2=10

Midpoint theorum

The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

⇒ DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

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So we want to simplify the expression:

Remember that:

If we replace:

So the answer is sin(x).

Answer:

Use the distributive property to solve the equation 2(m + 2) = 22. Describe what it means to distribute the 2 to each term inside the parentheses

Answer:

7

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

"Thus, 5/6 is the simplified fraction for 20/24 by using the GCD or HCF method. Thus, 5/6 is the simplified fraction for 20/24 by using the prime factorization method."

Answer:

12.6 kilograms

Step-by-step explanation:

I was going to go with 4. somethin until i noticed that in all of the pictures there are only 2 chickens so on the last picture instead of going down 2 you would go up two from the first picture.

Hope this helps. Btw it is just an educated guess.

Answer:

Step-by-step explanation:

Let the weight of each chicken be:

In the pictures we have:

Add all together:

The chicken in the last panel says 12.6 kg

The answer is 12.6 kg

Answer:

4.7

Step-by-step explanation:

Answer:

it should be 4.7

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

This is because the area of the rectangle is 24 square feet and the area of the triangle is 12 square feet. This option is the only one that gives this answer.

I hope it's correct!

Answer: 160

Step-by-step explanation: 20% of 160 is 32. 100% of 160 is 160, therefore 20 percent of 160 equals 32.

9514 1404 393

Answer:

  x = √2

Step-by-step explanation:

A graph indicates the only solution is near x=√2.

__

Square both sides, separate the radical and do it again.

  \(\displaystyle(2-x)\sqrt{\frac{x+2}{x-1}}=\sqrt{x}+\sqrt{3x-4}\qquad\text{given}\\\\(2-x)^2\cdot\frac{x+2}{x-1}=x+(3x-4)+2\sqrt{x(3x-4)}\qquad\text{square}\\\\\frac{(2-x)^2(x+2)}{x-1}-4x+4=2\sqrt{x(3x-4)}\qquad\text{isolate radical}\\\\\left(\frac{(2-x)^2(x+2)-4(x-1)^2}{x-1}\right)^2=x(3x-4)\qquad\text{square}\\\\(x^3-6x^2+4x+4)^2=4(x-1)^2(3x^2-4x)\qquad\text{multiply by $(x-1)^2$}\)

Now, we can put this polynomial equation into standard form and factor it.

  \(x^6 -12x^5+32x^4-76x^2+48x+16=0\\\\(x-2)^2(x^2-2)(x^2-8x-2)=0\qquad\text{factor it}\\\\x\in \{2,\pm\sqrt{2},4\pm3\sqrt{2}\}\)

The original equation requires that we restrict the domain of possible solutions. In order for the radicals to be non-negative, we must have x ≥ 4/3. In order for the left side of the equation to be non-negative, we must have x ≤ 2. So, the only potential solutions will be in the interval [4/3, 2].

The only values in the above list that match this requirement are {√2, 2}. We know that the right side of the equation cannot be zero, so the value x=2 is also an extraneous solution.

The only solution is x = √2.

_____

Additional comment

For solving higher-degree polynomials, I like to use a graphing calculator to help me find the roots. The second attachment shows the roots of the 6th-degree polynomial. They can help us factor the equation. (There are also various machine solvers available that will show factors and roots.)

The exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)

An exponential function is represented as:

\(y = b^x\)

The base is 3.

So, we have:

\(y = 3^x\)

It is stretched vertically by 2/3.

So, we have:

\(y = \frac23(3)^x\)

When reflected over the y-axis, we have:

\(y = \frac23(3)^{-x}\)

An asymptote of y = 2, makes the function becomes

\(y = \frac23(3)^{-x} + 2\)

Lastly, it passes through the point (0, 3.5).

So, we have:

\(y = \frac23(3)^{-x+h} + 2\)

This gives

\(3.5 = \frac23(3)^{-0+h} + 2\)

\(3.5 = \frac23(3)^{h} + 2\)

Subtract 2 from both sides

\(1.5 = \frac23(3)^{h}\)

Multiply by 3/2

\(2.25 = (3)^{h}\)

Take the logarithm of both sides

log(2.25) = h * log(3)

Solve for h

h = 0.74

Substitute h = 0.74 in \(y = \frac23(3)^{-x+h} + 2\)

\(y = \frac23(3)^{-x+0.74} + 2\)

Hence, the exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)

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Answer:

the coordinates of point P are (15, 19 + 3 sqrt(3)).

Step-by-step explanation:

Let's first find the center of the circle, which is (h, k). From the given information, we know that h = 12 and k = 16.

Next, we need to find the coordinates of the point P. We can do this using the formula for finding a point on a circle given its center and angle:

x = h + r cos(theta)

y = k + r sin(theta)

where r is the radius of the circle and theta is the angle between the horizontal axis and the line connecting the center of the circle to the point P.

Substituting the given values, we have:

x = 12 + 6 cos(pi/3)

y = 16 + 6 sin(pi/3)

Evaluating the trigonometric functions, we get:

x = 12 + 6 (1/2) = 15

y = 16 + 6 (sqrt(3)/2) = 19 + 3 sqrt(3)

Therefore, the coordinates of point P are (15, 19 + 3 sqrt(3)).

Answer:

0.111...    its never ending

Step-by-step explanation:

Answer:

1920 cubes.

Step-by-step explanation

Turn both the mix numbers into improper fractions.

2 2/5 = 12/5

3 1/5 = 16/5

Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.

12/5 * 5/1 = 12

16/5 * 5/1 = 16

2 * 5 = 10

Next you multiply all together to get 1920 cubes.

(I could be missing a step. I apologize if I did.)

Answer:

x=30

Step-by-step explanation:

a straight line is 180 degrees so to figure out x you would do 180-151 which equals 29 however if u plug 29 in for x it wouldn't work because (29-1) equals 28 and 151+28 do not equal to 180 degrees so x would equal 30 because (30-1) is 29

Step-by-step explanation:

straight line = 180°

x= 180 - 151 +1

x = 30

missing angle = x -1

= 30 - 1

= 29

Answer:

10

Step-by-step explanation: