A bird sits on the branch of a tree, then starts to fly. The height of the bird is described by the function⁡. y=0.6sin(pix/12)+35 where y represents the height of the bird measured in meters, and x represents the number of seconds since the bird left the branch.

Which function expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters?

Joshua deposited

(a). $12.85 in coins

(b). $77.14 in checks

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Joshua deposited checks worth six times the value of the coins he deposited.

Let Joshua deposit the value of coins be x. Then the value of x will be 6x

There is total deposit of $90.

⇒ x + 6x = 90

⇒ 7x = 90

⇒ [tex]x = \frac{90}{7}[/tex] =$12.85

Therefore,

[tex]6x = \frac{90(6)}{7} =\frac{540}{7}[/tex] = $77.14

Hence, he deposit total $12.85 in coins and $77.14 in checks.

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Answer: 12

Step-by-step explanation:

Given the function :

f(x),

x is defined as the number of questions answered correctly in a certain section.

Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly

The number of correct questions will be :

Compare ;

f(x) = f(12)

Hence ; x = 12 = number of questions answered correctly in the section.

Answer:

8

Step-by-step explanation:

[tex]-8n - 8 = -72\\-8n = -72 + 8\\-8n = -64\\n = 8[/tex]

Answer: 8

Step-by-step explanation:

Multiplying both sides by -1, we get:

8n + 8 = 72

8n = 72-8

8n = 64

n = 64/8 = 8.

Answer:

4 cookies

Step-by-step explanation:

2+2+=4

Answer:

I do believe that it is 4.

Step-by-step explanation:

They both have 2 cookies, and putting them together will be 4. 2 + 2 = 4

Answer:

C

Step-by-step explanation:

Answer:

(4y - 3)2 = 72?y3 +/Z and yy=3-6/243+62y=and y=-3 – 6/2440y=9/… ... 12 POINTS!! 2. (2, 0) and (0, 3) The equation for these ordered pairs is ...

1 answer

Step-by-step explanation:

Answer:

An equation would be 39 divided by 10^3= 0.039

Step-by-step explanation:

Hope this helps!! ;-)

Answer:

Step-by-step explanation:

Since, ΔBCM ≅ ΔZYR,

∠B ≅ ∠Z

∠C ≅ ∠Y

∠M ≅ ∠R

And BC ≅ ZY

CM ≅ YR

BM ≅ ZR

a). CM = YR = 11 m

b). BM = RZ = 15 m

c). YZ = BC = 8 m

d). m∠B = m∠Z = 45°

e). m∠M = 180° - [m(∠B) + m(∠C)]

             = 180° - (45 + 103)°

             = 180° - 148°

             = 32°

f). m∠Y = m∠C = 103°

The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.

Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.

Congruent triangles have equal corresponding sides and angles

The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11

The measure of the angles is angle B = 45. angle C = 103 and  angle m  =32

The given parameter is:

Tri angle BCM = Triangle ZYR

This means that triangles BCM and ZYR are congruent.

So, we have the following congruent sides

YZ = CB

BM = ZR

CM = YR

so, the measure of the side lengths are:

YZ = 8

BM = 15

CM = 11

Also, we have the following congruent angles

angle B = angle Z

angle C =  angle Y

angle M =  angle R

the measure of the angles are

angle B = 45

angle Y = 103

The measure of angle M is calculated using:

∠M + ∠C + ∠B = 180

∠M = 32

Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m  is 32.

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Answer     for 2020:  loan maturity in days 125

                                   Actual Interest is $164.90

Step-by-step explanation:

loan x Interest x Time (in days =Total interest

the simple interest on the loan is approximately $161.28.

To calculate the interest on the loan, we need to determine the time period in years and multiply it by the principal amount and the interest rate.

The loan period runs from August 15 to December 18, which is a total of 4 months. To convert this into years, we divide 4 by 12 (since there are 12 months in a year), resulting in 1/3 or approximately 0.3333 years.

The principal amount is $5350, and the interest rate is 9% or 0.09 as a decimal.

Using the formula for simple interest: Interest = Principal x Rate x Time

Interest = $5350 x 0.09 x 0.3333 ≈ $161.28

Therefore, the simple interest on the loan is approximately $161.28.

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Answer:

The answer is 20 hope this helps

Step-by-step explanation:

22.5 divided by 2.5 = 20

Answer:

90

Step-by-step explanation:

Find common denominators. Note that what you multiply to the denominator (bottom number of the fraction), you must also multiply to the numerator (top number of the fraction).

In this case, you are multiply 10 to both the numerator and denominator, as:

100/10 =10

Multiply 10 to the numerator:

? = 9 * 10

? = 90

90 is your answer.

~

Since the fractions are equivalent to each other, they must have the same simplified value. It means they can be multiple or divisor of each other.

Here, we have to find the numerator of the second fraction for which we have to multiply with the same number with which we multiplied the denominator.

➝ 10 × 10 = 100

The denominator was multiplied with 10, So the numerator will be multiplied with 10 too.

➝ 9 × 10 = 90

➝ [tex] \dfrac{9 \times 10}{10 \times 10} = \dfrac{90}{100} [/tex]

Thus, the required numerator is 90

Carry On Learning !

Answer:

it should be 1

Step-by-step explanation:

Answer:

Part B:

His measure is incorrect because the interior angles of every triangle result up to 180°. His measures (50+90+38) added up to 178; so his measures are false.

Answer:

0.75

Step-by-step explanation:

Constant of proportionality between p and n, is the ratio of both proportional quantities.

Thus, given the equation, [tex] p = 0.75n [/tex], of which Lopez uses, this equation represents the relation between both quantities.

The ratio of p and n = the constant of proportionality.

Thus:

[tex] p = 0.75n [/tex]

[tex] \frac{p}{n} = \frac{0.75n}{n} [/tex]

[tex] \frac{p}{n} = 0.75 [/tex]

Constant of proportionality = 0.75

Answer:

5/2,     5/2,     -3= (5/2)(2)+b,     -8,     y=(5/2)x-8

Step-by-step explanation:

Answer:

The slope of the graphed line is  

✔ 5/2

.

The slope of the parallel line is  

✔ 5/2

.

An equation that can be used to find the y-intercept of the parallel line is  

✔ –3 = (5/2)(2) + b

.

The y-intercept of the parallel line is  

✔ –8

.

The equation of the parallel line is  

✔ y = (5/2)x – 8

.

Step-by-step explanation:

Answer:

Nope it is equal to

Step-by-step explanation:

if you simplify both of them 4/10=2/5 and 14/35=2/5

Answer:

14.875

Step-by-step explanation:

77/8 = 9.625 and 21/4 = 5.25

So, 9.625+5.25 =14.875

Answer: 10  1/8

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

Answer:

d

Step-by-step explanation:

Answer:

A. 5^3

Step-by-step explanation:

5^6 = 15625

5^3 = 125

15625/125 = 125

Step-by-step explanation:

[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]

Answer:

125 to start with

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

7+5+4+3+1=20

the degree of the polynomial is 20

9514 1404 393

Answer:

  5.5 hours

Step-by-step explanation:

The presumption in these cases is that the rate of doing work is proportional to the number of machines. So, 4 times as many machines can do the work 4 times as fast. That is, the same job can be completed in 1/4 the time:

  (22 h)(1/4) = 22/4 h = 5.5 h

It would take 5.5 hours to fill the order.

Answer:

5.5

Step-by-step explanation:

it is 5.5 because

22 divided by 4 is 5.5

the answer is 5.5

in my class it says increased by 2 not 4

so my answer is 11

because 22 divded by 2 is 11

Answer:

1 to 4

Step-by-step explanation:

I don't think u want the explanation

The degree of the polynomial is 7 as the highest power in its terms is 7.

So, the correct option is A.

The degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is the addition of the power of variables in that term).

Thus, in

[tex]g(x) =5x +6x^7 - 8x^3[/tex]

Hence, the degree of the polynomial is 7 as the highest power in its terms is 7.

(power and exponent are the same thing)

So, the correct option is A.

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