what is the amplitude and period of f(t)=4cos(t)?

Answer:

x = 20

y = 73

Step-by-step explanation:

8x - 87 + 7x - 33 = 180

15x = 180 + 87 + 33

15x = 300

x = 20

8x - 87 = y

160 - 87 = y

y = 73

Answer:

6.9 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/hyp

sin 35 = x/12

12 sin 35 = x

6.882917236 = x

To the nearest tenth

6.9 =x

Answer:

f(-6) = 3

Step-by-step explanation:

Simply plug in -6 as x

f(-6) = -(-6) - 3

f(-6) = 6 - 3

f(-6) = 3

Answer:

f(-6) = 6 - 3 = 3

so f(-6) = 3

Step-by-step explanation:

1). if x = -6 then f(x) looks like f(-6) = -x - 3

2).since -6 is a negative and so is -x it becomes a positive

f(-6) = 6 -3

3). subtract as usual

f(-6) = 3

[tex]answer \\ = 5 \sqrt{17} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer: A, C, and E

Step-by-step explanation:

Hi, to answer this question we have to analyze the function given:

C(b) = 2.75b + 10

Where:

So:

A. The number of books purchased is the independent variable. TRUE  

B. The input is the yearly cost. (FALSE, the input is the number of books )

C. The total yearly cost depends on the number of books purchased. TRUE

D. The number of books purchased is determined by the yearly cost. FALSE , the yearly cost is determined by the number  

of books.

E. The output is the yearly cost.TRUE

Answer:

A)The number of books purchased is the independent variable.

C)The total yearly cost depends on the number of books purchased.

E)The output is the yearly cost.

those are your corrected answers

Step-by-step explanation:

List of prime numbers: 2,3,5,7,11

Both C and D equal 2 which is a prime number.

The answers are C and D

Answer:

the desired equation is  y = (-5/6)x - 7

Step-by-step explanation:

Going from (-6, -2) to (0, -7), we see that x (the "run") increases by 6 and y (the "rise" decreases by 5.  Thus, the slope is m = rise / run = -5/6.

The slope-intercept equation y = mx + b becomes -7 = (-5/6)(0) = b, and so

b = -7.  

Thus, the desired equation is y = (-5/6)x - 7.

Check this by letting x = -6 and y = -2:  Is the resulting equation true?

-2 = (-5/6)(-6) - 7

-2 = 5 - 7          Yes, this is true and so we have verified that the desired equation is  y = (-5/6)x - 7

Answer: 21pi / 5

Step-by-step explanation:

Given the following :

Theta (θ) = 3π / 5

radius (r) = 7cm

The length of an arc is calculated using the formula:

(θ / 360) × 2πr

Inputting the provided values into our formula;

θ = 3π/5 = (3 × 180)° / 5 = 540°/5 = 108°

Length = (108 / 360)° × 2π × 7

Length = (3/10) × 14π

Length = 42π / 10

Length = 21π / 5 cm

Answer:

4√ y

.......................

Answer:

n = 18

Step-by-step explanation:

I found the ratio between the 2 similar triangles by divide 9 by 4. After I found the ratio to be 9:4, I simply multiplied 8 by 9/4. This gave me 18 as the answer.

Answer: 3^2 + 8×4

= 41

3^2=9, 8 ×4=32 9 +32=41

Step-by-step explanation:

You can use the carat ^ to indicate an exponent. On a standard keyboard it's above the 6. (shift +6).

I have the same problem on my phone keyboard.

In Brainly, you might be able to use the formula options.

Answer:

41

Step-by-step explanation:

3^2 + 8(4)

Multiply 8 by 4

3^2 + 32

Square 3

9 + 32

Add 9 and 32 to get the answer

41

hope this helps!

Answer:

State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.

Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

x² + x - 132 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]

[tex]x = \frac{-1 \pm 23}{2} [/tex]

[tex]x_1 = \frac{-1 + 23}{2} [/tex]

[tex]x_1 = 11 [/tex]

[tex]x_2 = \frac{-1 - 23}{2} [/tex]

[tex]x_2 = -12[/tex]

The negative solution has no sense in the context of our problem, then the solution is x = 11.

Answer:

1783 sq. Units

Step-by-step explanation:

Answer:

x = 65; y = 10

Step-by-step explanation:

Theorem:

If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.

The three lines are given as parallel, angles 60 deg and (2x - y) deg are supplementary, and angles (2x + y) deg and 40 deg are supplementary. The sum of the measures of supplementary angles is 180. That allows us to write two equations.

2x - y + 60 = 180

2x + y + 40 = 180

Now we simplify the 2 equations.

2x - y = 120

2x + y = 140

Since -y and y are opposites, we can add the equations to eliminate variable y.

4x = 260

x = 65

Now we substitute 65 for x in the first equation of the system of equations and solve for x.

2x - y = 120

2(65) - y = 120

130 - y = 120

-y = -10

y = 10

Answer: x = 65; y = 10

Answer:

5÷9

Step-by-step explanation:

5/9 is a fraction where the numerator is divided by the denominator

5 divide by 9

5÷9

Answer:

5

Step-by-step explanation:

5/9 = .55555555555

.55555555555 x 9 = 5

to check the work, just do 5 divided by nine :)

Answer:

24.3 units (3 s.f.)

Step-by-step explanation:

Since a square has 4 equal sides,

perimeter of ABCD= 4(length of AB)

Distance between 2 points

=[tex] \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]

Length of AB

[tex] = \sqrt{( { - 2 - 4)}^{2} + {(2 - 3)}^{2} } \\ = \sqrt{( - 6)^{2} + ( - 1)^{2} } \\ = \sqrt{37} [/tex]

perimeter of ABCD

[tex] = 4 \sqrt{37} \\ = 24.3 \: units \: (3 \: s.f.)[/tex]

This question is incomplete because it was not written properly

Complete Question

A teacher gave his class two quizzes. 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first one passed the second quiz? (2 points)

a) 20%

b) 40%

c) 60%

d) 75%

Answer:

d) 75%

Step-by-step explanation:

We would be solving this question using conditional probability.

Let us represent the percentage of those who passed the first quiz as A = 80%

and

Those who passed the first quiz as B = unknown

Those who passed the first and second quiz as A and B = 60%

The formula for conditional probability is given as

P(B|A) = P(A and B) / P(A)

Where,

P(B|A) = the percent of those who passed the first one passed the second

Hence,

P(B|A) = 60/80

= 0.75

In percent form, 0.75 × 100 = 75%

Therefore, from the calculations above, 75% of those who passed the first quiz to also passed the second quiz.

Answer:

Option B.

Step-by-step explanation:

Continuous probability distribution : A probability distribution is called a continuous probability distribution, if its random variable X is a continuous variable and it can take infinite values (Real values).

Number of boxes cannot be a decimal value. So, it is not a continuous variable. Thus, option A is incorrect.

Temperature of a day is a continuous variable. So, temperature of a day can be represented using a continuous probability distribution. So, option B is correct.

Marks in a test paper cannot  represent a continuous variable. Thus, option C is incorrect.

Number of students who uses the internet cannot be a fractional or decimal value. So, it is not a continuous variable. Thus, option D is incorrect.

Therefore, the correct option is B.

Answer:

-2√10, 2√10

Step-by-step explanation:

Graphing x²-40 would be the fastest way to go. However, because this is not factorable, you have to use the quadratic formula to solve it if you want to do it algebraically.

Answer:

[tex]2\sqrt{10}[/tex], -[tex]2\sqrt{10}[/tex]

Step-by-step explanation:

(x^2) + 2 - 42 = 0

(x^2) - 40 = o

x =± [tex]\sqrt{40\\}[/tex]

x =± [tex]2\sqrt{10}[/tex]

Therefore x = [tex]2\sqrt{10}[/tex], -[tex]2\sqrt{10}[/tex],

Answer:

[tex]g(x) = \frac{1}{5} |x|[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x|[/tex]

Vertically compressed

Compression Factor = 5

Required

Find the equation of the new function;

Let the new function be represented by g(x)

Let c represented the compression factor;

such that c = 5

When a function f(x) is vertically compressed by factor c, the new function becomes

[tex]f(\frac{1}{c}x)[/tex]

From properties of functions;

[tex]f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]

This implies that

[tex]g(x) = f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]

[tex]g(x) = \frac{1}{c} *f(x)[/tex]

Recall that [tex]f(x) = |x|[/tex] and c = 5

[tex]g(x) = \frac{1}{5} * |x|[/tex]

[tex]g(x) = \frac{1}{5} |x|[/tex]

Hence, the new function is [tex]g(x) = \frac{1}{5} |x|[/tex]

Answer:

G(x)=1/5 |x|

Step-by-step explanation:

A p e x

Answer:

words per minute!

Step-by-step explanation:

Answer:

D.  Yes by SAS Similarity Postulate

Step-by-step explanation:

This is the answer because if you flip triangle LNM around to shape the DEF.  Then you will see that:

1. angle D is congruent to angle L

2. angle E is congruent to angle N

3. angle F is congruent to angle M

4. angle E and N are both 90 degrees

Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.

We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate.  The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.

Answer:

D. SAS Similarity Postulate

Step-by-step explanation:

I got it right on the test

Answer:

<b = 23°

Step-by-step explanation:

<a and <b are complementary so they add up to 90

<a + <b = 90

Where <a = 67

67 + <b = 90

<b = 90 - 67

<b = 23°

Answer:

∠b=23°

Step-by-step explanation:

∠a+∠b=90°

67°+∠b=90°

Subtract 67° from both sides

∠b=23°

Answer:

0.0000047

Step-by-step explanation:

Simply move the decimal place 6 places to the left while filling in the zeros.

Answer:

C. Various fees paid when a home is finalized. I hope I helped ;)

Step-by-step explanation:

Answer:

Option B is the correct answer.

Step-by-step explanation:

B= {- 5, - 4.5, - 3}

Answer:

x - y = -1 ....... 1

3x + 2y = 22 ........ 2

Make x the subject in the first equation

x = -1+y

Substitute this into the second equation

3(-1+y) + 2y = 22

-3 + 3y + 2y = 22

5y = 25

Divide both sides by 5

y = 5

Substitute y = 5 into x = -1+y

x = -1+5

x = 4

x = 4 , y = 5

Hope this helps

Answer:

c

Step-by-step explanation:

Khan academy