What’s the amplitude,period,equation of axis, and range for y=3sin[2(x+90)]?

The length of the lake is 100 ft

Form a right-angled triangle according to the given data in the problem. Chose which trigonometric ratio can be used to find the side that is considered as the side of the lake.  

From the trigonometric ratio table,

Here we have

Yoshi swam across a lake but did not know how far he swam.

He found that it was 100√) feet from point A to point C.

Angle C was a right angle and angle A is 30°.

We represent the given scenario in the form of a right angle triangle as shown in the picture.

Let 'B' be the point where Yoshi swam started and  BC be the length of the lake.  

From the triangle,  

Tan A = BC/AC

From the given data,

Tan 30° = BC/100√3

=> BC = Tan 30°(100√3)

=> BC = (1/√3)(100√3)  

=> BC = 100 ft

Therefore,

The length of the lake is 100 ft

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Answer:

2

Step-by-step explanation:

Answer:

2

as the other person said

Answer:

Uhhhhhh

Step-by-step explanation:

ABUNDA LA CACA BDHDHENSNGAGVD

Answer:

hard

Step-by-step explanation:

Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

1) Gathering data

In a scale

1 inch ---- 2.5 feet

2) The area of the dining room table

We can convert them right away since it's given.

2 inches x 1 inch

5 feet x 2.5

12.5 ft²

2.2)The area of the dining room

7 1/5 inches x 4 4/5 inches Turning into improper fractions

36/5 inches x 24/5 inches

To convert those customary units, let's set a proportion:

1 inch-----------5/2 feet

36/5------------ x

x =18 feet

1 inch-----------5/2 feet

24/5 -----------y

y=12 feet

So the area of the dining room, as it is a rectangle let's calculate its area : 12 x 18 = 216 ft²

2.3)

The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

Answer:

5 > \(\sqrt{18\)

Step-by-step explanation:

The square root of 18 is approximately 4.24.

5 is greater than 4.24, so we can use the inequality sign >.

Answer:

whts the question

Step-by-step explanation:

By using trigonometric relations, we will see that the angle that the ladder makes with the ground is 64.2°, so we conclude that the ladder is safe.

Notice that the ladder makes a right triangle with the wall.

Such that the hypotenuse (the ladder itself) measures 15 ft, and one of the catheti (distance between the ground and top of the ladder) measures 13.5ft

If we considerate the angle that the ladder makes with the ground, the known cathetus is the opposite cathetus.

Then we can use the relation:

sin(x) = (opposite cathetus)/(hypotenuse)

Then:

sin(x) = (13.5ft)/(15ft)

If we use the inverse sine function on both sides, we get:

Asin(sin(x)) = Asin( 13.5ft/15ft)

x = Asin(13.5/15) = 64.2°

So the angle is less than 75°, which means that in fact, the ladder is safe.

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Answer:

3

Step-by-step explanation:

The equation y = 4x-1 matches the graph, which has a slope of 4 and a y-intercept of -1. This is because the coefficient of x is 4 (slope) and the constant term is -1 (y-intercept).

A line's slope is a measure of how steeply it rises or falls as it goes from left to right on a coordinate plane. It is defined as the shift in vertical coordinate (y) to horizontal coordinate (x) between any two locations on a line. The slope (m) may be written symbolically as:

m = (change in y) / (change in x)

Positive, negative, zero, or undefined slopes are all possible. A horizontal line has a slope of zero, while a vertical line has an indeterminate slope.

Based on the given options, the equation that matches the graph is:

b. y = 4x-1

This is because the graph has a slope of 4 (meaning it increases by 4 units in the y-direction for every 1 unit in the x-direction), and a y-intercept of -1 (meaning the line crosses the y-axis at -1). This matches the equation y = 4x-1, where the coefficient of x is 4 (slope) and the constant term is -1 (y-intercept).

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Answer:

19.5959179423 or when simplified, 19.6

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

To find the width of the rectangle, you must divide the area by the length.

7 and 7/8 divided by 1 and 3/4 = 4 1/2

The width of the rectangle is 4 1/2 or 4.5

check:

4 1/2 x 1 3/4 = 7 7/8

Answer:

4.5

Step-by-step explanation:

First, think back to literal equations in Algebra 1 or 2.

The formula for the area of a rectangle is:

\(a=lw\)

Fill in the variables that we know and solve.

\(7\frac{7}{8} =(1\frac{3}{4})w\)

Divide everything by (1 and 3/4)

\(\frac{\frac{63}{8}}{\frac{7}{4}}=w\)

Simplify:

\(w=\frac{9}{2}=4.5\)

w=4.5

Given the operation:

You need to follow these steps in order to solve the exercise:

1. Multiply signs by applying the Sign Rules for Multiplication:

Then:

2. Subtract the numbers:

3. Round it to the nearest tenth:

- Notice that the digit to the right of the digit in Tenth Place is:

- Since:

You must round down. The digit in the Tenth Place (7) stays the same:

4. Round the result obtained in Step 2 to the nearest hundredth;

- Notice that the digit to the right of the digit in Hundredths Place is:

- Since:

The digit in the Hundredths Place (3) stays the same:

Hence, the answers is (the results rounded are separated by a comma):

Answer:

24,26,28

Step-by-step explanation:

78 divided by 3 is 26, which means that 26 is the middle number and the next even number that is lower and bigger are the other two integers. You divide it by 3 because it's 3 consecutive even intergers

Answer:

75600 your welcome

Step-by-step explanation:

Answer:

75,600

Step-by-step explanation:

1) 50 x 1512

2) 75600 ft.

The total length of fencing would be 75,600 feet.

Answer:

1) Antonio's statement

2) <A = 123

Step-by-step explanation:

1) Antonio's statement is incorrect. This is because the opposite angles of a quadrilateral add up to 180°. Erin was incorrect because the opposite angles of this quadrilateral are unequal.

2) 2x+7+5x-2 = 180° (opposite angles of quadrilateral)

Now

7x+5 = 180

7x = 175

x = 25

<A = 5x-2

= 5(25)-2

= 125-2

= 123

Answer:

t=13.28382 ≈ 13.3 years

It takes 13.3 years to amount $15700 from the principal $6500.

Given that, a person invests 6500 dollars in a bank. the bank pays 6.75% interest compounded semi-annually.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = A = P(1+r/n)^nt

Now, 15700 =6500(1+6.75/2×100)^2t

⇒ 15700/6500=(1+6.75/200)^2t

⇒ 15700/6500=1.03375^2t

⇒ 2.415=1.03375^2t

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

t=ln(2.415)/2ln(1.03375)

Decimal Form:

t=13.28141707

≈ 13.3 years

Therefore, it takes 13.3 years to amount $15700 from the principal $6500.

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Answer:

$6,000

Step-by-step explanation:

If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.

Answer:

$6,000 on rent

Step-by-step explanation:

Find her weekly salary by dividing 2500 by 0.25

2500/0.25

= 10,000

Now, find how much she spent on rent by multiplying 10,000 by 3/5

10,000(3/5)

= 6,000

So, she spent $6,000 on rent

Answer/Step-by-step explanation:

\(10^{-8}\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\)

\(10^{-8}=\frac{1}{10^8}\)

\(10^8=100000000\)

\(=\frac{1}{100000000}\)

or \(1e-8\)

Decimal Form: 0.00000001

Hence, the following below might be your answer [Different form]:

[RevyBreeze]

\(\Large\maltese\underline{\textsf{A. What is Asked}}\)

Determine the slope of a line that is parallel to the equation \(\bf{3x+6y=18}\).

\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)

First we should divide the whole equation by 6,

\(\bf{\dfrac{3}{6}x+\dfrac{6}{6}y=\dfrac{18}{6}}\) | simplify

\(\bf{\dfrac{1}{2}x+y=3}\) | subtract 1/2 x

\(\bf{y=-\dfrac{1}{2}x+3\)

\(\rule{300}{1.7}\)

\(\bf{Result:}\)

            \(\bf{=Slope-\dfrac{1}{2}\)

\(\boxed{\bf{aesthetic\not101}}\)

2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.

Specifically, the identity states that 2 cos A sin B can be written as

sin(A + B) + sin(A - B).

Applying this identity, we have:

2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)

Simplifying the expressions inside the sine functions:

sin(102) + sin(-32)

Since the sine function is an odd function,

sin(-x) = -sin(x),

so we can rewrite the equation as:

sin(102) - sin(32)

Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

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Answer:

  (c)  Vertex (−3, 6); Range 6 ≤ y ≤ ∞

Step-by-step explanation:

You want the vertex and range of the quadratic function corresponding to the given table of values.

An appropriate choice of the range description will tell you the correct answer.

The lowest value in the table is h(x) = 6. All other values of h(x) are greater than this, so the range must be ...

  6 ≤ y ≤ ∞ . . . . . . . matches choice C

__

Additional comment

The coordinates of the lowest point on the graph are the coordinates of the vertex: (-3, 6). That matches choice C also.

Often, no work is necessary other than checking the answer choices for reasonableness.

<95141404393>

Answer:$247

Step-by-step explanation

Answer:

0.04 gallons in one mile

Step-by-step explanation:

Basically, you lose 2 in 50 miles. So in order to figure out how many you lose in one mile, you would take 2/50, which would give you 0.04.

Check the picture below.

Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.