y'all please answer this, i asked this two times already :(

A digital thermometer records the daily high and low temperatures. The high for the day was -5 C. The low was -12 C. What was the difference between the day's high and low temperature

To calculated f(g(-3)) we need to calculate first g(-3) as:

g(-3) = 3*(-3) = -9

So, f(g(-3)) is equal to f(-9), then:

f(-9) = 2*(-9) - 1

f(-9) = -18 - 1

f(-9) = -19

Finally, f(g(-3)) = -19

Answer: f(g(-3)) = -19

The area enclosed by the curve x = t2 − 3t, y = t and the y-axis is 9/2

In this question we have been given parametric equations x = t^2 − 3t, y = t

In this question we need to find the area enclosed by the curve x = t2 − 3t, y = t and the y-axis.

The curve has intersects with y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Now we have to draw the graph,

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

Now, find the area under the curve using the above formula

A = ∫[a to b] g(t)f'(t) dt

so, A = ∫[0 to 3] t (2t - 3) dt

A = ∫[0 to 3] (2t^2 - 3t) dt

A = [2/3 t^3 - 3/2 t^2]_[t = 0, t = 3]

A = 2/3 3^3 - 3/2 3^2

A = 18 - (3^3)/2

A = 18 - 27/2

A = 9/2

Therefore,  the area of the curve is 9/2.

Learn more about parametric equations here:

brainly.com/question/28537985

#SPJ4

Answer:

trapezoid and half circle.

Step-by-step explanation:

Answer:

41.8°, 138.2° and 401.8°

Step-by-step explanation:

Given the expression;

\(3sin^2x + 4sinx - 4 = 0\)

Let P = sinx

The expression becomes;

3P²+4P - 4 = 0

Factorize

3P²+6P-2P - 4 = 0

3P(P+2)-2(P+2) = 0

3P-2 = 0 and P+2 = 0

P = 2/3 and -2

When P = 2/3

sinx = 2/3

x = arcsin 2/3

x = arcsin 0.6667

x = 41.8 degrees

Also if P = -2

sinx = -2

x = arcsin (-2)

x will not exist in this case

To get other values of x

sin is positive in the second quadrant

x = 180 - 41.8

x = 138.2°

x = 360+41.8

x = 401.8°

Hence the values of x within the interval are 41.8°, 138.2° and 401.8°

Since the triangles are similar thie means that:

Solving for x we have:

Therefore x=14

Answer:

okay thnx

Step-by-step explanation:

Answer:

a=36

Step-by-step explanation:

18=a/2

×2 ×2

36=a

Imao thanks 4 the free 5 points

Have a good day bro cya

The numerical value of the coefficients A and B are A = 0 and B = 5 / (ln 15 - ln 8/3)

First, let us break the integrand down using partial fractions. Let the given integrand be f(x). Then,

f(x) = (x^2 + 6x + 9) / (4x)

We can factor x^2 + 6x + 9 as (x + 3)^2. Therefore,

f(x) = [(x + 3)^2 / 4x]

= (A / x) + (B / (x + 3)) + C

Where A, B, and C are constants that we need to find.The LCD is 4x(x + 3)^2.

Multiply both sides by the LCD to get:

(x + 3)^2 = A(x + 3) + Bx(4x) + C(x)(4x)(x + 3)^2

= A(x + 3) + 4Bx^2 + Cx(x + 3)^2

= Ax + 3A + 4Bx^2 + Cx^2 + 3Cx

Simplifying this equation yields:

x^2 (A + C) + x (3A + 3C) + 9A = x^2 (4B + C) + x (12B) + 9A

We can then match the coefficients to obtain the following system of equations:

A + C = 4B + CC + 3A

= 12BA

= 9A

We can see that A is 0, which means 0 = 9A or A = 0.

Substituting A = 0 into the second equation yields

C = 4B

Hence, C = 4B and A = 0. Now we have

f(x) = B / (x + 3) + (4B / 4x)

Simplifying this gives:

f(x) = B / (x + 3) + B / x

Breaking down the integral, we have

Q = ∫[5, 12] (x^2 + 6x + 9) / (4x) dx

= ∫[5, 12] B / (x + 3) + B / x dx

= B ln(x + 3) + B ln(x) |[5, 12]

= B ln(15) + B ln(8) - B ln(8) - B ln(8/3)

= B ln(15) - B ln(8/3)

= B (ln 15 - ln 8/3)Q

= B (ln 15 - ln 8/3)

We are given that Q = 5

Solving for B gives us:

B (ln 15 - ln 8/3)

= 5B = 5 / (ln 15 - ln 8/3)

Therefore, A = 0 and B = 5 / (ln 15 - ln 8/3)

To know more about LCD, visit:

brainly.com/question/9450117

#SPJ11

Answer:

The area of the table is about 5914.37

Step-by-step explanation:

We Know

Circumference of circle = 2 · π · r

The circumference of a circular table top is 272.61

Find the area of this table.

First, we have to find the radius.

272.61 = 2 · 3.14 · r

r ≈ 43.4

Area of circle = π · r²

3.14 x 43.4² ≈ 5914.37

So, the area of the table is about 5914.37

The area of the circular table top is 5914.37

Given that ;

Circumference of circular table top = 272.61

Formula of circumference of circle = 2 \(\pi\)r

By putting the value given in this formula we can calculate value of radius of the circular table.

It is also given that we have to use the value of pie as 3.14

Circumference (c) = 2 × 3.14 × r

272.61  =  6.28 × r

r = 43.4

Now,

Area of circle = \(\pi\)r²

Area = 3.14 × 43.4 ×43.4

Area = 5914.37

Thus, The area of the circular table top is 5914.37

To know more about area of circle :

https://brainly.com/question/12374325

The cost of 15 pens in INR, considering the given exchange rate, is 2250 INR which is obtained by using arithmetic operations.

Sunday bought 10 pens at a cost of $5 each. To find the cost of 15 pens in INR, considering the exchange rate of $1 being equal to 30 INR, the total cost can be calculated by multiplying the cost per pen by the number of pens and then converting it to INR.

The cost of a single pen is given as $5. To calculate the cost of 15 pens, we can multiply the cost per pen by the number of pens:

Cost of 15 pens = Cost per pen * Number of pens

Cost of 15 pens = $5 * 15 = $75

To convert the cost from dollars to INR, we use the given exchange rate of $1 being equal to 30 INR. Thus, we can multiply the cost in dollars by the conversion rate:

Cost in INR = Cost in dollars * Conversion rate

Cost in INR = $75 * 30 = 2250 INR

Therefore, the cost of 15 pens is 2250 INR.

Learn more about arithmetic operations here:

https://brainly.com/question/30553381

#SPJ11

The complete question is:

Sunday bought 10 pens, and a pen cost $5 dollars. What is the cost of 15 pens in INR, if $1 is 30 INR?

Answer: okay what’s the question?

Step-by-step explanation:

Answer:

she will have to pack 420 items

she could pack 12 items in 35 boxes

Step-by-step explanation:

if you could give the whole question i could help with that

Each slice has an exterior edge that measurement roughly 0.6981 feet in length. Hence, the price per slice is around $11.11.

What does measurement and example mean?

Comparison of a parameter with a predetermined reference value is the process called measurement. For instance, when a measurement is represented as 10 kg, kg is the accepted unit of mass and 10 represents the physical quantity's size. Make correction suggestions.

The formula for calculating the arc length of the a sector, which is as follows, may be used to get the measurement of each slice's outer edge:

arc length is equal to (angle/360) x 2r.

when r is the pizza's radius, which is equal to its diameter. When we replace r with 2 feet & angle with 40 degrees, i get:

arc length is (40/360) x 2 x 2 feet, which is rounded to 0.6981 feet with 4 decimal places.

To know more about radius visit:

https://brainly.com/question/13449316

#SPJ1

Answer:

I think it's the first one

Answer:

to my knowledge I would pick A

Answer:

27

Step-by-step explanation:

1. Using PEMDAS, you would start with all numbers inside the parentheses

2. Next inside the parentheses are exponents

3² = 3*3 = 9

2³ = 2*2*2 = 4*2 = 8

2² = 2*2 = 4

3. Go back inside the parenthese now that everything is multiplied out

\(\frac{9 *(8+4) }{4}\) = 9* ( 12)/4 = 108/4

4. Simplify the fraction by dividing 108 by 4

108 ÷ 4 = 27

Answer:

$336.44

Step-by-step explanation:

$402.44 - $66 = $336.44

After one month, Betty will owe $407.02 on her credit card.

The amount Betty will owe after one month depends on how much of the stability she will pay off in the course of that point.

Assuming she does not make any payments in the course of the first month, here is how to calculate her balance:

The cash-withdrawal price is a one-time fee, so it does no longer affect the stability after one month.

Betty withdrew $400, so her starting balance is $406 ($400 for the lawnmower plus $6 cash-withdrawal price).

The interest rate is 3%, that's an annual price. To calculate the monthly charge, divide with the aid of 12: three% / 12 = 0.25%.

To calculate the interest charged for the first month, multiply the stability through the monthly interest rate: $406 * 0.25% = $1.02.

Add the interest to the balance: $406 + $1.02 = $407.02. that is Betty's balance after one month.

Consequently, after one month, Betty will owe $407.02 on her credit card.

Learn more about Simple interest rate:-

https://brainly.com/question/25720319

#SPJ4

Answer:

8. X + Y = an even number

Step-by-step explanation:

if X and Y are a odd number then if you add them you get an even number

Answer:

Step-by-step explanation:

Parallel lines have the SAME slope...so for the given formula y = 2x + 1 (given in y = mx + b form)

the slope, m = 2. The slope, m of the 2nd line will be 2.

Use the Point-Slope formula... y - y1 = m(x - x1) to find the equation of the 2nd line by plugging in the values of the given point (4, 3) for x1 and y1 and using the slope, m from the 1st equation

Therefore, y - 3 = 2(x - 4)

y +3 = 2x - 8 .....distributive (multiply the 2) across the terms in the parenthesis

-3 + 3.... isolate the y by bringing the 3 term to the RHS

y = 2x - 5 FINAL ANSWER

Given data:

The given equations are x - 2y = -1 and 2x + 3y = 12.

The given point of intersection is the solution of the equation which is (3, 2).

Thus, the solution of the given equations is (3, 2).

a. In a no profit situation, P(x) = 0, indicating that revenue and expenses are equal.

b. When no profit can be made, the profit function is zero, indicating that revenue equals expenses. This means that income equals expenditure, resulting in no surplus or profit. On a graph, the profit function appears as a horizontal line at zero profit, showing a balance between revenue and expenses. No profit situations can be sustainable for certain organizations with different objectives, such as nonprofits or government agencies.

a. To determine which profit function models a no profit situation, we need to examine the behavior of the profit function at different prices. A no profit situation occurs when the revenue generated is exactly equal to the expenses incurred, resulting in a profit of zero.

Let's consider the profit function in question #2, denoted as P(x), where x represents the price:

P(x) = R(x) - C(x)

Here, R(x) represents the revenue function and C(x) represents the expense function.

b. When no profit can be made, the profit function will be equal to zero at all prices. Mathematically, this means that the revenue function and the expense function are equal:

R(x) - C(x) = 0

In terms of the income and expenditure, this condition implies that the income is equal to the expenditure. Essentially, the company is not generating any surplus or profit beyond covering its costs.

Visually, on a graph, the profit function when no profit can be made will appear as a horizontal line at the zero profit level. It indicates that regardless of the price at which the product or service is sold, the revenue and expenses are balanced, resulting in no profit.

It's important to note that while a no profit situation may not be desirable from a business perspective, it can still be sustainable for certain organizations or in specific scenarios where the primary objective is not profit maximization, such as nonprofit organizations or government agencies focused on public services.

To summarize, when no profit can be made, the profit function will be equal to zero, indicating that the revenue and expenses are balanced, resulting in no surplus or profit.

For more such information on: profit

https://brainly.com/question/31406695

#SPJ8

Answer:

\(log_2(512) = 9\)

Step-by-step explanation:

\(We \: need \: to \: calculate \: log_2(512)\)

\(512 = 2 {}^{9} ⟼ log_{2}(512) = log_{2} (2 {}^{9} ) \)

\( log_{a}b {}^{n} = n \: log_{a}b\)\(⟼ log_{2} {2}^{9} = 9 \: log_{2}2\)

\(since \: log_{a}a = 1⟼ log_{2}(512) = 9\)

Thus, the correct statement is B: The speed of Becca's car is more.

An indicator of how 1 quantity changes in proportion to another is called a rate of change. Positive or negative change rates are possible. This is equivalent to a change in the y-value in between two data points. Zero rate of change refers to a quantity that does not fluctuate over time.

Relation between speed and time:

speed = distance/ time

Tom's car:

distance d = 120 miles

Time t = 3 hours

speed of Tom's car = 120/3 = 40 miles/hours

Becca's car:

distance d = 90 miles

Time t = 2 hours

speed of Becca's car = 90/2 = 45 miles/hours

Thus, the correct statement is B: The speed of Becca's car is more.

Know more about the rate of change

https://brainly.com/question/25184007

#SPJ1

Correct questions:

The correct question is given by question 9.

Answer:

I think it is B or 17 ft

Step-by-step explanation:

Hope this helps. Tell me if I'm wrong

Answer: Probably 30

Step-by-step explanation: If you multiply 12 x 5 = 60, which we don't see that answer. I'll say C because 12 + 12 is 24. Add 5 and you get 29. The closer answer to 29 is 30. I could be wrong because I'm only in Middle School and kinda get confused with questions like these.

we need to find the values of sin(10°) and cos(10°) to compute sin(20°).

To find the value of sin 20°, we can use the trigonometric identity sin(2θ) = 2sin(θ)cos(θ).

Given sin(θ) = √3/2 and 0° < θ < 90°, we can find the value of sin 20° as follows:

sin(20°) = 2sin(10°)cos(10°)

We need to find the values of sin(10°) and cos(10°) to compute sin(20°).

Given cos(θ) = -√2/2 and -π/2 < θ < 0, we can find the value of sin 20° as follows:

sin(20°) = 2sin(10°)cos(10°)

Similarly, we need to find the values of sin(10°) and cos(10°) to compute sin(20°).

Since you provided conflicting information for the values of sin 0 and cos 0, it is not possible to determine the value of sin 20° without accurate values for sin 0 and cos 0. Please provide the correct values, and I will be happy to help you further.

Learn more about   value from

https://brainly.com/question/24078844

#SPJ11

Answer:

maybe

Step-by-step explanation:

l o l

XD

Answer:

20°

Step-by-step explanation:

The measure of the inscribed angle is equal to the half of the arc it sees

Since AC is the diameter the measure of arc ABC is 180°

and since A sees arc BC and C sees the arc AB

A< + C< = 90° so angle C = 20°

Answer:

2048

Step-by-step explanation:

Find out what \(16^{3}\) is:

16x16x16 =

4096.

Now lets divide it by 2:

4096/2 =

2048.

2048 would be your answer to your problem.

Answer:

when multiply with exponents you add so

(3a^2b^7)(5a^3b^8)=15a^5b^13

Hope This Helps!!!

Answer: 74 miles

Step-by-step explanation:

3.7 divided by 0.5 = 7.4

7.4 x 10 = 74

74 miles

Answer:

45

Step-by-step explanation:

All angles of a triangle should add up to 180

35 + 80 + 45 = 180

Answer: There are 24 ways.

Step-by-step explanation:

All the numbers are divisible by 11, so divide all the numbers by 11 to make the problem simpler: Jo climbs a flight of 6 stairs. Jo can take the stairs 1, 2, or 3 at a time.

A recursive approach can now solve this problem. The number of ways to climb one stair is 1. There are two ways to climb 2 stairs: (1, 1) or (2). For 3 stairs, there are 4 ways: (1, 1, 1), (1, 2), (2, 1), and (3). Extending this pattern, there are 1+2+4 = 7 ways to climb up 4 stairs, 2+4+7 = 13 ways to climb up 5 stairs, and 4+7+13 = 24 ways to get up 6 stairs.  

The total number of ways by which Jo climbs the stairs at school when he can take the stairs 1, 2, or 3 at a time.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways. The number of possible ways to arrange is n!.

Here, n is the number of objects.

Every day at school, Jo climbs a flight of 6 stairs.  Jo can take the stairs 1, 2, or 3 at a time. For example, Jo could climb 3, then 1, then 2.

With one stair, there is one way to climb. With two stairs, the ways to climb are two 1-1 at a time or 2 at a time. For the three stair, there are 4 ways,

\(1+1+1,1+2,2+1,3\)

For the three stair, there are 7 possibilities he can climb the stair.

\(1+1+1+1,\;1+1+2,\;1+2+1,\;2+2\;,2+1+1\;1+3.\;3+1\)

In the same way for the 5 the stair there are 6 additional steps add in it, which makes it 13.

For the six stair for single step, we have 13 ways, for double step we have 7 ways and for triple step we have 4 ways. Thus,

\(\rm Number\; of \; ways=13+7+4\\\rm Number\; of \; ways=24\)

Thus, the total number of ways by which Jo climbs the stairs at school when he can take the stairs 1, 2, or 3 at a time.

Learn more about the arrangement here;

https://brainly.com/question/6032811