Select the equation of the graph line above. (A) y = x + 5 (B) y = 3x + 5 (C) y = x - 5 (D) y = 3x - 5

Answer:

m=3.7

Step-by-step explanation:

m²=14

m=√14

m=3.7416573868

m=3.7(2 d.p)

The values that match the various trigonometric identity are;

1) sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀ = 1

2) cos 13 cos 47 + sin 13 sin 47 = 0.5

3) sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π = 0

Trigonometric identities are defined as the equations that involves the trigonometric functions that are true for every value of the variables involved.

1) We know that the trigonometric identity sin(A + B) is expressed as;

sin(A + B) = sinAcosB + cosAsinB

We are given;

sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀

Applying the trigonometric identity above, gives us;

sin(²/₅π + π/₁₀)

= sin(5π/10)

= sin(π/2)

= 1

2) We know that the trigonometric identity sin(A + B) is expressed as;

cos(A + B) = cosAcosB − sinAsinB.

We are given;

cos 13 cos 47 + sin 13 sin 47

Applying the trigonometric identity above, gives us;

cos(13 + 47)

= cos 60

= 0.5

3) We know that the trigonometric identity sin(A + B) is expressed as;

sin(A + B) = sinAcosB + cosAsinB

We are given;

sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π

Applying the trigonometric identity above, gives us;

sin(²/₅π + ⁸/₅π)

= sin(¹⁰/₅π)

= sin(2π)

= 0

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Using elimination method in the equation 2x+y=7 and 2x*3y=3, x is 3 and y is 1.

Two equations are given solving it by using rule of elimination,

2x+y=7....(1) and 2x*3y=3. (2)

Multiply equation (1) by three to get 6x+3y=21. (3)

Add equations (2) and (3) together to get

8x=24

x=24/8

x= 3

Replace this number in equation (1):

2(3)+y=7

6+y=7

y=7-6

y= 1

Consequently, the answer is x=3,y=1.

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

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Answer:

8.25 % I got this answer right.

The confidence interval that we have for the population mean is given as [869.9 , 890.7]

The confidence interval is the range of values that, if you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time.

We have the following data that we have to solve this problem with

The mean = x¯=880.3 pounds

The standard deviation = 10.4 pounds.

The confidence interval = 68%

To get the confidence interval for the true mean of the population weight we would have

mean ± standard deviation

880.3 ± 10.4

The interval would be written out as

880.3 - 10.4 and 880.3 + 10.4

the confidence interval =

[869.9 , 890.7]

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Using the circle graph, the costs to attend the public university are as follows:

A circle graph, or a pie chart, is used to visualize information and data.

Therefore, the circle graph is shows the percentage cost for tuition/fees, room, board, and computer costs.

The cost to attend a public university in a recent year is $16,241.

Using the pie chart, let's find the cost of the various fees.

Therefore,

cost of tuition and fees = 36.9% of 16,241

cost of tuition and fees = 36.9 / 100 × 16241

cost of tuition and fees = 599292.9 / 100

Therefore,

cost of tuition and fees = $ 5992.929

cost of room = 31.5% × 16241

cost of room = 31.5 / 100 × 16241

cost of room = $5115.915

Hence,

cost of board = 24.9% of 16241

cost of board = 24.9 / 100 × 16241

cost of board = $ 4044.009

Hence,

computer cost = 6.7% of 16241

computer cost = 6.7 / 100 × 16241

computer cost =  $1088.147

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The transformation that converts f(x) to g(x), f(x) is contraction by 5 units

Transformations are mathematical operations which change the shape and orientation of an object or function.

The types of transformations include

Since we have the graph of f(x) = -10(x - 2)² into the graph of g(x)= -2(x - 2)².

We see that f(x) = -10(x - 2)²

= 5 × -2(x - 2)²

= 5g(x)

Since f(x) = 5g(x)

⇒g(x) = f(x)/5

So, we converts f(x) to g(x), f(x) is contraction by 5 units

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The weight of Luna is 82 pounds , the correct option is (d) .

In the question ,

it is given that

Kira has three dogs Luna , Cooper and Daisy .

let the weight of cooper be c .

given Cooper weighs 25 pounds less than Daisy

which is c = daisy - 25

So , daisy = c + 25

and Luna weighs 20 pounds less than three times Cooper ,

which is Luna = 3c - 20

Given the combined weight is = 175 pounds

Cooper + Daisy + Luna = 175

c + c + 25 + 3c - 20 = 175

5c + 5 = 175

5c = 175 - 5

5c = 170

c = 170/5

c = 34

So, Luna = 3c - 20 = 102 - 20 = 82 pounds .

Therefore , The weight of Luna is 82 pounds .

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Simplification of the given expression 2cd³ (c - d +5) is given by

2c²d³ − 2cd⁴ + 10cd³.

As given in the question,

Given expression is equal to :

2cd³ (c - d +5)

Law of exponents for multiplication is given by:

mᵃ × mᵇ  =mᵃ⁺ᵇ

Simplification of the given expression by open the parenthesis we have,

= 2cd³ × c - 2cd³ × d + 2cd³ × 5

Apply law of exponents for multiplication we get,

= 2c¹⁺¹d³ -2cd³⁺¹ + (2×5)cd³

= 2c²d³ -2cd⁴ + 10cd³

Therefore, simplification of the given expression 2cd³ (c - d +5) is given by 2c²d³ − 2cd⁴ + 10cd³.

The complete question is:

Simplify : 2cd³ (c - d +5)

a. 2cd³− 2c²d⁴ + 10c²d³

b. 2c²d³ − 2cd⁴ + 10cd³

c. 2cd³ − 2cd³ + 10cd³

d.  2c²d³− 2c²d⁴ + 10cd²

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Answer:

I believe there is supposed to be something in the the corner box (Top left).

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

since the sides are bisected, the inner line is parallel to the largest side.

8x+9 + 5x-24 = 180

Answer:

  (x, y) = (1, 3)

Step-by-step explanation:

You want to solve the system of equations x-y= -2; x+y=4 by the addition method.

The addition method seeks to eliminate one of the variables by adding the equations with appropriate multipliers so that one of the coefficients becomes zero.

Here, we observe that the coefficient of y in one equation is the opposite of that in the other equation. This means adding the two equations will cancel the y-terms:

  (x -y) +(x +y) = (-2) +(4)

  2x = 2 . . . . . . . . . . . . . . . . simplify; y-term is eliminated

  x = 1 . . . . . . divide by 2

  1 +y = 4 . . . . . . . substitute for x in the second equation

  y = 3 . . . . . . . . . subtract 1

The solution is (x, y) = (1, 3).

Answer:

[tex]y= \frac 12 x -3\\y=0.5x -3[/tex]

Depending if you can imput fractions, or decimal numbers.

Step-by-step explanation:

The slope can easily calculated as [tex]m=\frac{\Delta y}{\Delta x} = \frac {0-(-3)}{6-0} = \frac 36 = \frac12[/tex]

The y intercept can be easily read from the graph as and is -3

589 in base five is  [tex]4324_{5}[/tex].

Given number:

589

converting to [tex]589_{5}[/tex].

⇒ 5|589

⇒ 5|117|4

⇒ 5|23|2

⇒ 5|4|3

⇒ 5|4|4

Now we write the last digit from last number to first that is,

= [tex]4324_{5}[/tex].

Hence 589 in base five is  [tex]4324_{5}[/tex].

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Step-by-step explanation:

Andy and Emily each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Andy needs 24 feet of the wire. Emily needs 15 yards of the wire. How much will each of them spend for wire?​

Looking at your chart:

cost/length in inches

6/100 = $0.06 per inch

8.1/135 = $0.06 per inch

9.6/160 = $0.06 per inch

10.8/180 = $0.06 per inch

So the rate stays at a constant rate of $0.06 per inch.

Andy needs 24 feet or 288 inches at a constant rate of $0.06 per inch.

= 288 * $0.06  

= $17.28

________________________________

Emily needs 15 yards or 540 inches at a constant rate of $0.06 per inch.

= 540 * $0.06  

= $32.40

Answer:

a) velocity

b) displacement

Perimeter meaning: the continuous line forming the boundary of a closed geometric figure.

side length: 15

perimeter: 368

Tiffany needs to pay $8,084.44 in total.

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

Given:

P= 8000

R= 7%= 0.07

Time= 8 years.

Now, Amount = P[tex](1 + r/n)^{nt[/tex]

Amount = 8000 [tex](1 + 0.07/15)^{12 . 15[/tex]

Amount = 8000 x (1 + 5.8333333333333E-5)

amount = $8,084.44

Hence, Tiffany needs to pay $8,084.44 in total

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A value for x is therefore represented by the first number in an ordered pair, and a value for y is represented by the second.The x- and y-coordinates are the names given to these values.

The Method of Elimination

To ensure that the two equations have the same leading coefficient, multiply each equation by a reasonable number in step one.

Step 2: Reverse the first equation and subtract the second one.

Step 3: Find y using this new equation.

Step 4: Change Equation 1 or Equation 2 above to y = 2 and then solve for x.

multiply the equation y = x - 6 by -6.

You will then get the equation: 6y = -6x + 36

The two equations will be:

6y = -6x + 36

y = 6x - 19

And you can see that if you add them, you will be able to eliminate x. answer is -6.

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The given infinite series is divergent.

Given,

[tex]\sum \limits^\infty_{n=1 }{(-1)^{n+1}\frac{3n^2+n+1}{2n^2-1}}[/tex]

it is in the form,

[tex]\sum \limits^\infty_{n=1 }{(-1)^{n+1}\ a_n[/tex]

If the series is convergent then it satisfies,

i)[tex]b_{n+1}\ \leq\ b_n\ for\ all\ n[/tex]

ii)[tex]\lim_{n \to \infty} a_n =0[/tex]

if any of the above condition dissatisfies then the series is divergent

First check the 2nd condition,

[tex]\lim_{n \to \infty}\frac{3n^2+n+1}{2n^2-1}}\\\\= \lim_{n \to \infty}\frac{n^2(3+\frac{1}{n}+\frac{1}{n^2})}{n^2(2-\frac{1}{n^2})}}\\\\=\frac{3+0+0}{2-0}\\\\=\frac{3}{2}[/tex]

Here, [tex]\lim_{n \to \infty} a_n \neq 0[/tex]

Thus, the given series is divergent.

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Answer:

Your question is missing some parts

and the degree seems off is it 90⁰

Answer:

220.

Step-by-step explanation:

If you plug in 4 for L and 6 for W, you are left with 25(4) + 20(6), which is equivalent to 100+120 = $220

Answer:

220

Step-by-step explanation:

The value of 2*(3*5) = 68.

The value of (2*3)*5 = 68.

What is multiplication?

A mathematical formula that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of 6 and 5 is 30.

Given: The operation * is defined as,

a*b = a + b - 2ab

We have to find the value of 2*(3*5) and (2*3)*5

First to find the value of 2*(3*5).

2*(3*5) = 2*(3 + 5 - 30) = 2*(-22) = 2 + (-22) - 2(-22)(2) = 68.

Now to find the value of (2*3)*5.

(2*3)*5 = (2 + 3 - 12)*5 = -7*5 = (-7) + 5 - 2(-7)(5) = -2 + 70 = 68.

Therefore, 2* (3*5) = 68 and (2*3)*5 = 68.

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Answer:

4(m+10)

Step-by-step explanation:

sum is adding

Hopes this helps please mark brainliest

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total socks= 10

White socks= 8

Total T- shirts= 9

White T- shirts = 2

Now, The probability of choosing a white pair of socks is

= 8/10

= 4/5

and, The probability of choosing a white tee shirt is

= 2/9

and, The probability of both being white is

= 4/5 x 2/9

= 8/45

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Answer:

Step-by-step explanation:

[tex]\sf (10-x)+(12-x)[/tex]

Simplify:-

[tex]\sf 10-x+12-x[/tex]

Combine like terms:-

[tex]\sf -x-x+10+12[/tex]

[tex]\sf (-x-x)=\bf -2x[/tex]

[tex]\sf (10+12)=\bf 22[/tex]

[tex]\sf -2x+22[/tex]

Hope this helps!

Have a great day!

Answer:

Step-by-step explanation:

8.5 inches divided by 2 = 4.25 inches which is the base of the triangle with a height of 5.8 inches. Area of that triangle is 1/2 x base x height = 1/2 x 4.25 inches x 5.8 inches = 12.325 inches squared. Two of the triangles make 1 full isoceles triangle= 2 x 12.325 inches squared = 24.65 inces squared. But there are 5 isoceles triangles in a pentagon, so 5 times 24.65 inches squared = 123.25 inches squared.