2x+2y=18
x=3-y
you have to use the substitution method I know its easy but I struggle with math can someone please help me!!! TY

Answer:

9636.66666665,or, 9637

Step-by-step explanation:

Answer:

yes thats correct

Step-by-step explanation:

Answer:

14.79

Step-by-step explanation:

Take the price of the dishes and multiply by the tax rate

232 * 6 3/8%

Change to decimal form

232 * .06375

14.79

The tax is 14.79

Maximum two hours of gaming a day is healthy.

What is meaning of healthy?

Not just the absence of illness or infirmity, but also a complete condition of physical, mental, and social well-being, is what is meant by "health."

Additionally, twice as many parents of teen boys than teen girls report that their son plays video games daily. Teenage guys are also more likely to play video games for three or more hours.

The American Academy of Pediatrics advises limiting screen-based entertainment to no more than two hours each day. According to Radesky, parents should make a "media plan" that specifies how much time a kid can spend playing video games without having an impact on their behavior or their schoolwork.

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Answer:  The geometric series is convergent and the value is 16.

Step-by-step explanation:

How to illustrate the information?

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum 4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

Answer: 7.07in²

Step-by-step explanation:

To find radius,

2πr = 3π

r = \(\frac{3\pi}{2\pi}\)

r = 1.5

To find area,

A = πr²

= π × 1.5²

= (2.25π)in²

= 7.07in² (3sf)

The equation of the tangent line at x=0 is y = x.

To find the equation of the tangent line at the given value of x, we need to find the derivative of the function y with respect to x and evaluate it at x=0.

Taking the derivative of y=∫[0 to x] sin(2t^2+π/2) dt using the Fundamental Theorem of Calculus, we get:

dy/dx = sin(2x^2+π/2)

Now we can evaluate this derivative at x=0:

dy/dx |x=0 = sin(2(0)^2+π/2)

        = sin(π/2)

        = 1

So, the slope of the tangent line at x=0 is 1.

To find the equation of the tangent line, we also need a point on the line. In this case, the point is (0, y(x=0)).

Substituting x=0 into the original function y=∫[0 to x] sin(2t^2+π/2) dt, we get:

y(x=0) = ∫[0 to 0] sin(2t^2+π/2) dt

      = 0

Therefore, the point on the tangent line is (0, 0).

Using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Plugging in the values, we have:

y - 0 = 1(x - 0)

Simplifying, we get:

y = x

So, the equation of the tangent line at x=0 is y = x.

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Answer:

74

Step-by-step explanation:

50+33+20−16−6−10+3=74

Answer:

-1 7/8

Step-by-step explanation:

Answer:

{x,y} ={0,-7}

Step-by-step explanation:

[1]  3 x - 2 y = 14

[2] 5 x 6 y =42

Answer:

Fred = 31

Natalie = 15

Step-by-step explanation:

We have Natalie and Fred's whos age are unknown, we know that when added, their ages equal 46. While when multiplied with Natalie's age 4 times, their ages is 91.

Create two systems :

F = Fred

N = Natalie

F + N = 46

4N + F = 91

We can change the first equation to Natalie's age alone :

N = 46 - F

Now substitute this into the second equation :

4(46 - F) + F = 91

Distribute :

184 - 4F + F = 91

Subtract 184 from both sides :

-4F + F = -93

Add like terms :

-3F = -93

Divide -3 from both sides :

F = 31

Therefore, Fred is 31 years old. Now replace his age in the first equation :

31 + N = 46

46 - 31

15

Therefore, Natalie is 15 years old.

Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

Step-by-step explanation:

scalene    === all of the sides are different lengths

acute     ==== all of the angles are < than 90 degrees

  that's all

Answer:

x = 5in

y = 16in

Step-by-step explanation:

Hypotenuse: 32/8 = 4

So, x = 20/4

x = 5

y = 4*4

y = 16

Answer:

x = 3.2

Explanation:

when y = 1

1 = x²-2x-3

x²-2x-3-1 = 0

x²-2x-4 = 0

                                      \(x = \frac{ 2 \pm \sqrt{(-2)^2 - 4(1)(-4)}}{2*1}\)

                                               \(x = 1 + \sqrt{5}\)

                                                 x = 3.236

                                                 x = 3.24 in 2 decimal places

                                                 x = 3.2  in nearest tenth

Answer:

Step-by-step explanation:

The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.

Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:

Regression 1: y = -5.8x - 6.5, r = -0.7621

Regression 2: y = 2.4x - 14.7, r = 0.809

Regression 3: y = -7.4x - 17.4, r = -0.233

Regression 4: y = -3.4x - 8.5, r = -0.6121

Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.

\(\text{Area of the trapezoid}= \left(\dfrac{AD+BC}2\right)CK\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\left( \dfrac{10+8}2\right) \times 30 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{18}2 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=9 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=270~~ \text{sq units.}\)

The solution is Option C.

The measures of the legs of the isosceles trapezoid is given by the proportion equation L₂ = 15.5 inches

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the measure of legs of PQRS trapezoid be L₂

Let the first trapezoid be represented as T₁ = ABCD

The measure of the legs of T₁ = L₁

And , Let the second trapezoid be represented as T₂ = PQRS

The measure of the legs of T₂ = L₂

The perimeter of T₁ = 72.8 inches

The perimeter of T₂ = 91 inches

The measure of L₁ = 12.4 inches

Now , the two trapezoids are similar

So , measure of L₁ / perimeter of T₁ = measure of L₂ / perimeter of T₂

Substituting the values in the equation , we get

( 12.4 / 72.8 ) = L₂ / 91

Multiply by 91 on both sides of the equation , we get

The measure of L₂ = ( 12.4 x 91 ) / 72.8

The measure of L₂ = 15.5 inches

Hence , the measure of legs of trapezoid is 15.5 inches

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Answer:

10 months

Step-by-step explanation:

30x = 22x + 80

8x = 80

x = 10

Answer: 25 days

Step-by-step explanation:

The original number of students in the hostel was 50, and now it is 80 because 30 joined. So the original number of students was 5/8 of what it is now.

I use the inverse formula the number of days the food will last.

40 * 5/8 = 200/8 = 25

If there are 80 students, then the food will only last for 25 days.

If  a + b + c = 0, the value of the expression is 2.

The expression refers to the mathematical equation provided in the previous response. Here is the simplified expression after performing the necessary calculations:

Given that a + b + c = 0, we can simplify the expression as follows:

\((c ^ 2 - (a - b) ^ 2)/(a ^ 2 - (b + c) ^ 2) + (a ^ 2 - (b - c) ^ 2)/(b ^ 2 - (c + a) ^ 2) + (b ^ 2 - (c - a) ^ 2)/(c ^ 2 - (a + b) ^ 2)\)

Replacing c with -(a + b), we get:

\(((-a - b) ^ 2 - (a - b) ^ 2)/(a ^ 2 - (b + (-a - b)) ^ 2) + (a ^ 2 - (b - (-a - b)) ^ 2)/(b ^ 2 - ((-a - b) + a) ^ 2) + (b ^ 2 - ((-a - b) - a) ^ 2)/((-a - b) ^ 2 - (a + b) ^ 2)\)

Simplifying further:

\((4ab)/(a ^ 2 - (a - 2b) ^ 2) + (4ab)/(b ^ 2 - (-a + b) ^ 2) + (4ab)/((a + b) ^ 2 - (-a - b) ^ 2)\)

Since a + b + c = 0, we have c = -(a + b), which implies that c ^ 2 = (a + b) ^ 2.

Substituting this back into the expression:

\((4ab)/(a ^ 2 - (a - 2b) ^ 2) + (4ab)/(b ^ 2 - (-a + b) ^ 2) + (4ab)/((a + b) ^ 2 - (a + b) ^ 2)\)

Now, we can simplify the denominators:

\((a ^ 2 - (a - 2b) ^ 2) = 4ab\\\\(b ^ 2 - (-a + b) ^ 2) = 4ab\\\\((a + b) ^ 2 - (a + b) ^ 2) = 0\)

Therefore, the expression simplifies to:

(4ab)/(4ab) + (4ab)/(4ab) + 0

Simplifying further:

1 + 1 + 0 = 2

Thus, the value of the expression is 2.

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Your question seems incomplete, the probable complete question is:

If a+b+c=0, then find (c ^ 2 - (a - b) ^ 2)/(a ^ 2 - (b + c) ^ 2) + (a ^ 2 - (b - c) ^ 2)/(b ^ 2 - (c + a) ^ 2) + (b ^ 2 - (c - a) ^ 2)/(c ^ 2 - (a + b) ^ 2)​

Answer:

ok kapoor

Step-by-step explanation:

Answer:

Explanation: The sum of the lengths of any two sides of a triangle must exceed the length of the third side; therefore, 5+7 > x, which cannot happen if x = 13.

Answer:

100

Step-by-step explanation:

angles CHF and EHI are congruent angles because CD is a straight line.

Therefore EHI must be 20 degrees.

angles DIG and EIH are congruent angles because CD is a straight line.

Therefore EIH must be 60 degrees.

Now that you know two of the three angles in the triangle HEI,

Total degrees in a triangle - EIH - EHI = HEI

180 - 60 - 20 = 100

To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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Answer:

(0, 0)

Step-by-step explanation:

Origin is the center of the coordinate plane which is located where the x-axis and y-axis meet

Answer:

7 miles per minute!

Step-by-step explanation:

To find the unit rate you need to have a denominator of one, and with the info you have your fraction looks like this--->35/5

How to solve: 35/5 = x/1

You get from 5 to 1 by dividing by 5, so to find x you have to divide 35 by 5, and you get 7!

So replace x with 7 and your answer will be 7 miles per minute!

I hope this helps, and have a great day!

Answer:

49.02

Step-by-step explanation:

Ok, so this is a conversion problem and it wants you to get 45 euros to whatever amount of dollars that equals. So first, you need to get the conversion rate.

1 euro/1.14 dollars

Now, plug in the 43 Euros to the front of the conversion rate

43 euros (1 euro/1.14 dollars)

You want what you start with on the bottom of the conversion factor, so switch the rate around

43 euros (1.14 dollars/1 euro)

Then, multiply what is on top, then divide by what is on the bottom.

49.02 dollars/1=49.02 dollars

The euros go away because they cancelled out.