Evaluate the expression when a =3 and y=-3.
y-5a
Please help

1. The trigonometric ratios are given as follows:

2. The equation to solve for x is given as follows: sin(52º) = x/13.

3. Two equations to solve for m are given as follows:

4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.

5. The lengths are given as follows:

The three trigonometric ratios are given as follows:

In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m, as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

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3/2 is an example of a rational number which can be proved by the properties of rational number.

What is a Rational number?

Rational numbers are numbers which can be expressed as a fraction and also as positive numbers, negative numbers and zero. It can be written as p/q, where q is not equal to zero.

According to the given question:

An example of a rational number can be 3/2. It means integer 3 is divided by another integer 2

Check the following 3 properties of a rational number to determine if it is rational

1. If the number can be written in fraction form

2. If the numerator and denominator of the fraction are integers

3. And the denominator is not equal to zero

If any number satisfies these 3 conditions then it is said to be a rational number

Let's prove for our example that is 3/2

1. 3/2 is a fraction in which 3 is numerator and 2 is denominator

2. 3 and 2 are integers

3. the denominator 2 is not equal to zero.

Hence it is proved that 3/2 is a rational number.

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Answer:

\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.

Step-by-step explanation:

Answer:

The answer is D AC because that line is opposite of angle B

The expression 6√27 + 11√75 written in simplified radical form is 73√3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

6√27 + 11√75

We will simplify the radicals into the simplest form.

Radical means the numbers under square roots and cube roots.

6√27

= 6 √(9 x 3)

= 6 x √9 x √3

= 6 x √3² x √3

= 6 x 3 x √3

= 18√3

11√75

= 11 x √(25 x 3)

= 11 x √25 x √3

= 11 x √5² x √3

= 11 x 5 x √3

= 55√3

Now,

6√27 + 11√75

= 18√3 + 55√3

= (18 + 55)√3

= 73√3

Thus,

The expression 6√27 + 11√75 written in simplified radical form is 73√3.

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The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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The equation of the conic represents a circle with an area of 36π square units.

In this problem we find the equation of the conic in general form, on which we need to determine what kind of conic it represents. This can be done by finding the standard form of the equation by means of algebra properties, using a strategy known as completing the square. The quadratic equation in general form is described by the quadratic equations of the form:

A · x² + B · y² + C · x + D · y + E · x · y + F = 0

Now we proceed to find the standard form of the equation. First, write the equation in standard form:

x² + y² - 3 · x + 6 · y = 7 · x + 2

x² + y² - 10 · x + 6 · y - 2 = 0

Second, complete the square:

(x² - 10 · x + 25) + (y² + 6 · y + 9) = 2 + 25 + 9

(x - 5)² + (y + 3)² = 36

The standard form of the quadratic equation indicates the equation of a circle with a diameter of 12 units and a center at (h, k) = (5, - 3). The area of the circle is calculated below:

A = 0.25π · D²

Where D is the diameter of the circle, in units.

A = 0.25π · 12²

A = 36π

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Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1

The recursive rule

From the question, we have the following parameters that can be used in our computation:

The table

The table definitions imply that we simply multiply 2 to the previous term to get the current term

This means that

f(n) = f(n - 1) * 2

Where

f(1) = 9

The explicit rule

The table definitions imply that we simply multiply 2 to the previous term to get the current term

a = 9

r = 2

So we have

f(n) = a * r^n-1

This gives

f(n) = 9(2)^n-1

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Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

where the question??????????????

It can be estimated that about 816 children in the typical school are living in poverty.

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Answer:

y=-2x+5

Step-by-step explanation:

Use the equation y=mx+b

We can find the b(y-intercept) by looking at the graph

The graph crosses the y-axis at (0,5)

We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.

Plug that into the equation y=mx+b

y=-2x+5

Answer:

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

What is the hypergeometric distribution formula?

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

Step-by-step explanation:

Given:

growth rate = 8%

The population in the year 2000 ( t =0) is 27000

The population (P) in the year 2001 ( t =1 ) can be found to be:

The population (P) in the year 2002 (t=2) can be found to be:

Answer:

I hope this will be the answer... ✌️

\(\large{\pmb{\underline{\underline{\sf{Refraction:-}}}}}\)

Refraction is the bending of a light or sound wave, or the way the light bends when entering the eye to form an image on the retina.

\(\large{\pmb{\underline{\underline{\sf{Examples~ Of~ Refraction:-}}}}}\)

\({\huge{\underline{\small{\mathbb{\pink{HOPE \ THIS \ HELPED \ UH:)}}}}}}\)

Cheers !! :3

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

(CX3)+10

Step-by-step explanation:

Answer:

c×3+10= j

Step-by-step explanation:

Answer:

x = −10

Step-by-step explanation:

8x−2(x+1)=7x+8

Step 1: Simplify both sides of the equation.

8x−2(x+1)=7x+8

8x+(−2)(x)+(−2)(1)=7x+8(Distribute)

8x+−2x+−2=7x+8

(8x+−2x)+(−2)=7x+8(Combine Like Terms)

6x+−2=7x+8

6x−2=7x+8

Step 2: Subtract 7x from both sides.

6x−2−7x=7x+8−7x

−x−2=8

Step 3: Add 2 to both sides.

−x−2+2=8+2

−x=10

Step 4: Divide both sides by -1.

−x/−1 = 10/−1

x=−10

Answer:

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

(30%)/100

Result

0.003

Decimal approximation

0.003

Rational approximation

3/1000

The equation of the shifted circle is (x-3)² + (y-3)² = 36.

Shifting a circle with equation (x-3)² + (y-5)² = 36 down 2 units means that we need to subtract 2 from the y-coordinate of the center of the circle. Since the center of the circle is (3, 5), the new center will be (3, 3) after the shift.

To find the equation of the shifted circle, we can simply replace the y-coordinate of the center with the shifted value in the original equation:

(x-3)² + (y-3)² = 36

This is the equation of a circle with center (3, 3) and radius 6, which is the result of shifting the original circle down 2 units.

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The answer would be 156.654

Answer:

Remove the decimals and multiply normally.

162 x 967

156654

Put back in the decimals. In this case, move the decimal point back three spaces from the end.

156.654

:)

Answer:

Step-by-step explanation:

Remark

I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4

If that is the case then what you have so far is

Solution

y = 4x + b

The given point determines b

Givens

x = 3

y  = 2

Given point

2 = 4*3 + b

2 = 12 + b

b = 2 - 12

b = -10

The equation is y = 4x - 10

Answer:

The correct answer is: one-sample t-test for diff. The appropriate inference procedure is to use a one-sample t-test to compare the difference in tread wear after two months between the shoe with the new type of tread and the original.

Answer:

5

Step-by-step explanation:

when c = 7,

substitute 7, into 35÷c

35 ÷ 7 = 5

Answer:

8 ft of yarn

Step-by-step explanation:

146/18= 8.111

Round that number down to 8 to make all students get equal amounts of yarn

Answer:

8.11 ft

Step-by-step explanation:

146 ft divided into 18 prices

146 ÷ 18 = 8.11 ft for each student.

a) fogx b) gofx c) fog0 d) gofs0