Find two numbers which have a sum of 132 and that can be written as the simplified
ratio 3:8

Answer:

22.3

Step-by-step explanation:

From trigonometry :

The angle D can be obtained thus ;

Sin D = opposite / hypotenus

Sin D = 19 / 50

Sin D = 0.38

D = Sin^-1(0.38)

D = 22.33

The function for position x(t) could be x(t) = 3t^2 - 2t + 10.

In mathematics, a function is a relation between two sets that assigns to each element of the first set exactly one element of the second set. In other words, it is a rule that describes how one set of values is related to another set of values. Functions are used to model real-world scenarios and to solve mathematical problems. Examples of functions include linear equations, polynomials, and trigonometric functions.

This is determined by using the equation x'(t) = a(t). Differentiating both sides of the equation, we get x'(t) = 6t - 2. Integrating this equation, we get x(t) = 3t^2 - 2t + C, where C is the constant of integration. Since x(1) = 10, we can substitute this value into the equation and solve for the constant of integration. Therefore, we get x(t) = 3t^2 - 2t + 10.

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Answer:

A. (x - 4)² + (y + 7)² = 81

Step-by-step explanation:

The general equation for a circle is given by the formula;

x² + y² + 2hx + 2ky + c = 0  ......equation 1.

Where the center is C(-h, -k)

Also, the standard form of the equation of a circle is;

(x - h)² + (y - k)² = r²  ......equation 2.

Where;

Given the following data;

h = 4

k = -7

r = 9

Substituting into eqn 2, we have;

(x - 4)² + (y - {-7})² = 9²

Simplifying further, we have;

(x - 4)² + (y + 7)² = 81

The length of ribbon is 48 yards.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Kala got a prepaid debit card with $15.

Price of Ribbon = 24 cents per yard.

After purchase money left $3.48.

So, Price of Ribbon purchased = 15 - 3.48 = $11.52 = 1152 cents

length of ribbon = 1152/ 24

                           = 48 yards

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Step-by-step explanation:

Area (A) = (1/2)b×h = (1/2)(10)(6) = 30

Perimeter = 8+ 8 + 10 = 26

Solution :

a). The required linear regression model is

Price = [tex]$-1242.986 + 75.017 \times \text{age of part} + 13.973 \times \text{ number of bidders}$[/tex]

b). The [tex]$\text{p-value}$[/tex] for the variable "Age of part" is 0.0000

Since the [tex]$\text{p-value}$[/tex] is less than 0.05, so it is significant to the model.

The p-value for the variable "Number of bidders" is 0.1940

Since [tex]$\text{p-value}$[/tex]  is not less than [tex]$0.05$[/tex], so it is significant to the model.

c). We cannot say that model is significant because variable " the number of bidders" is not significant.

But as both variables have positive coefficient so as the variable increases the price received for the item also increased.

9514 1404 393

Answer:

  $1800

Step-by-step explanation:

The tax due is ...

  3% × $10,000 + 5% × ($40,000 -10,000)

  = 5% × $40,000 - (5% -3%)($10,000)

  = $2000 - 200

  = $1800 . . . . tax due

_____

Additional comment

The table is structured so you need to compute the amount due in each bracket and add those to find the total due.

I prefer to compute the tax due by applying the appropriate tax rate to the whole amount, then subtracting a "discount" that reflects the fact that the rate doesn't actually apply to the whole amount.

In the geometric series 2, 4, 6, 8, 10, 12,..., 24 is the 12th term. Each number in this series is separated by a factor of two.

the total of a geometric sequence's terms. Sn=a1(1rn)1r, r1 denotes the sum of the first n terms in a geometric series. an infinite geometric series whose total is provided by the expression S=a11r and where |r|1.

A geometric sequence is a set of numbers that follows a pattern in which the next term is determined by multiplying the previous one by a factor known as the common ratio, r.

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Answer:

Step-by-step explanation:

4(x+3)=4x+12

4x+12=4x+12

The rate of inflation of potatoes is 0.019.

The rate of inflation of Oranges is 0.019.

The rate of inflation of Ground beef is 0.019.

Inflation is an increase in the level of prices of the goods and services that households buy. It is measured as the rate of change of those prices.

Given:

Here, the annual rate of inflation r (in decimal form) is given by

r = [tex](p_2/ p_1)^{1/n[/tex] - 1

Now, The average price of a  potatoes increased from $0.620 in 2009 to $0.749 in 2019.

Thus, The required rate of inflation,

r = [tex](0.749/ 0.620)^{1/10[/tex] - 1

r = 1.019 - 1

r = 0.019

Now, The average price of a Oranges increased from $0.910 in 2009 to $1.280 in 2019.

Thus, The required rate of inflation,

r = [tex](1.280/ 0.910)^{1/10[/tex] - 1

r = 1.034 - 1

r = 0.034

Now, The average price of a Ground beef increased from $2.251 in 2009 to $3.375 in 2019.

Thus, The required rate of inflation,

r = [tex](3.775/ 2.251)^{1/10[/tex] - 1

r = 1.0321 - 1

r = 0.0321

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9514 1404 393

Answer:

  (a)  m = 2

Step-by-step explanation:

The formula tells you the slope is ...

  m = (18 -10)/(5 -1) = 8/4

  m = 2

Answer:

120°

Step-by-step explanation:

I drew a picture that will make it easier to understand what's going on. Please see the attached image

In a rhombus, the diagonals bisect the opposite angles, and opposite angles are congruent.

Let's say angle 1 is x. The interior angles of a quadrilateral add up to 360°, so

30+30+30+30+2x=360

2x=240

x=120

angle 1 is 120°.

The number of guests, g, coming for dinner is not 8, is g ≠ 8.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

The expression,

the number of guests, g, coming for dinner is not 8.

That means,

Let the number is g.

According to the question,

the number is not equals to 8.

That means,

the expression in the numerator form,

g ≠ 8.

Therefore, the term in the mathematical form g ≠ 8.

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Answer:

[tex]5h^3- h - 3[/tex]

Step-by-step explanation:

Given

[tex](2h^3 + 6h) + (3h^3 - 7h - 3)[/tex]

Required

Standard form

We have:

[tex](2h^3 + 6h) + (3h^3 - 7h - 3)[/tex]

Remove bracket

[tex](2h^3 + 6h) + (3h^3 - 7h - 3) =2h^3 + 6h + 3h^3 - 7h - 3[/tex]

Collect like terms

[tex](2h^3 + 6h) + (3h^3 - 7h - 3) =2h^3 + 3h^3+ 6h - 7h - 3[/tex]

[tex](2h^3 + 6h) + (3h^3 - 7h - 3) = 5h^3- h - 3[/tex]

Hence, the standard form is:

[tex]5h^3- h - 3[/tex]

Answer:

x = 32

Step-by-step explanation:

• any lower base angle is supplementary to any upper base angle.

here base angle = 2(x - 10) and upper base angle = 4x + 8

supplementary angles sum to 180°

sum the base and upper base angles and equate to 180

2(x - 10) + 4x + 8 = 180

2x - 20 + 4x + 8 = 180

6x - 12 = 180 ( add 12 to both sides )

6x = 192 ( divide both sides by 6 )

x = 32

Answer:

1/a³

Step-by-step explanation:

(1/a)³ = 1³/a³ = 1/a³

Answer:

$7,459.12

Step-by-step explanation:

The formula for continuous compounding is

A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years.  We want to know how much he will owe on this original $5,000 credit card debt after 2 years.

A = $5,000e^(0.20*2)

  = $7,459.12

Step-by-step explanation:

The formula for continuous compounding is

A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years.  We want to know how much he will owe on this original $5,000 credit card debt after 2 years.

A = $5,000e^(0.20*2)

  = $7,459.12

Answer:

$10.80

Step-by-step explanation:

9 times 0.20 equals 1.80

9 + 1.80 = $10.80

Answer:

The answer to your first question is A You can find slope through the equation Change in Y over change in x. and find the y intercept by using the growth rate and multiplying or dividing it by the x coordinate until the Y value hits 0,  

Step-by-step explanation: If you dont feel like doing the work copy and paste the equations into desmos graphing calculator and it will tell you everything

Answer:

4

Step-by-step explanation:

How many 2/5s are in 1 1/2? To make it easier and simpler , I would change these fractions into decimals . Our answer is there are ALMOST 4 of 2/5ths in 1 and a half .

Answer:

100??................

Answer:

100

Step-by-step explanation: Even im not that bad at math

Answer:

[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]

Step-by-step explanation:

Because the function is symmetric about the y-axis, using the cosine function is most appropriate.

Refer to the equation for a cosine function:

[tex]f(x)=acos(bx+c)+d[/tex]

Amplitude: [tex]|a|[/tex]

Period: [tex]\frac{2\pi}{|b|}[/tex]

Phase shift: [tex]-\frac{c}{b}[/tex]

Midline: [tex]y=d[/tex]

The amplitude would be the average of the maximum and minimum y-values of the function, which would be [tex]|a|=|\frac{5-1}{2}| =|\frac{4}{2}| =|2|=2[/tex].

The value of [tex]b[/tex] in [tex]\frac{2\pi}{|b|}[/tex] represents the length of the period, so since the length of the period is [tex]2\pi[/tex], this means that [tex]b=\frac{2\pi}{|2\pi|} =1[/tex].

The phase shift, [tex]-\frac{c}{b}[/tex], describes the horizontal shift of a function. Because the phase shift is [tex]-\frac{\pi}{2}[/tex], then we can set up the equation [tex]-\frac{\pi}{2}=-\frac{c}{1}[/tex] where we determine [tex]c=\frac{\pi}{2}[/tex].

The midline (or vertical shift), [tex]d[/tex], is the horizontal line that passes through between the maximum and minimum points, which the function oscillates. In this case, the midline would be located at the line [tex]y=3[/tex], therefore, [tex]d=3[/tex].

Putting all our information together, your final equation is:

[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]

Answer:

e a b $ 174 par month

Step-by-step explanation:

ar the

Jane's monthly payment this year using balance billing would be $164 per month.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

To determine Jane's monthly payment this year using balance billing, we need to divide the total amount she spent last year ($1,968) by the number of months in a year.

Total amount spent last year = $1,968

Number of months in a year = 12

So, Monthly payment = Total amount spent last year / Number of months in a year

Monthly payment = $1,968 / 12

Monthly payment ≈ $164

Therefore, Jane's monthly payment this year using balance billing would be $164 per month.

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Answer:

There is a root between x=3 and x=5.

Step-by-step explanation:

Not entirely sure what this question wants, but from this you can tell that the function crossed the x-axis in the interval (3, 5). When x is 3, y is 5, and then when x is 5, y is -2.

Answer:

Part A:

This data is modeling an exponential function because the y-values are increasing at an increasing rate. For example, between station 1 and station 2, the time increased by 2 minutes, and between station 2 and station 3, the time increased by 4 minutes. The time between each station is increasing by a multiple of the time between the previous two stations. This indicates that the data follows an exponential curve.

Part B:

To represent this data as a function, we can use the formula y = ab^x, where a and b are constants and x is the input (station number).

Substituting in the values from the first data point, we get: 2 = ab^1

Substituting in the values from the second data point, we get: 4 = ab^2

We can then solve for a and b by dividing these equations:

4/2 = (ab^2)/(ab^1)

2 = b

Substituting this value back into the first equation, we get:

2 = a*2^1

1 = a

Therefore, the function that represents this data is y = 2^x.

Part C:

To find the average rate of change between station 2 and station 4, we can use the formula: (y2 - y1)/(x2 - x1).

Substituting in the values from the data, we get: (16 - 4)/(4 - 2) = 12/2 = 6.

Therefore, the average rate of change between station 2 and station 4 is 6.

Answer:

x=per hour

233=42x+65

Step-by-step explanation:

Answer:

$3.20

Step-by-step explanation:

I divided the $2 by 8 to see how much 1/8 a gallon cost.

I got 0.40

Multiple this by 8 to get 8/8 or 1 gallon.

You get 3.2

so $3.20

Hope this helped. :)