Isabella has $50.45 that she saved over 5 weeks of babysitting and doing odd jobs for her parents. How much money did she earn per week?

The independent variable in Sabrina's experiment is the brand of popcorn.

An independent variable is a variable that is manipulated by the experimenter and is expected to cause a change in the dependent variable. In this case, Sabrina wants to see which brand of popcorn pops the most kernels, so she is manipulating the brand of popcorn by testing three different brands: store brand, Orville Redenbacher, and PopSecret. The dependent variable in this experiment is the number of kernels left over after popping for 3 minutes in the same microwave. This variable is expected to change based on the brand of popcorn being tested. By manipulating the independent variable and measuring the resulting changes in the dependent variable, Sabrina can determine which brand of popcorn pops the most kernels.

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Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.

Taking the derivative of the numerator:

d/dθ [1 - sin(θ)] = -cos(θ)

Taking the derivative of the denominator:

d/dθ [1 + cos(6θ)] = -6 sin(6θ)

Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:

lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))

When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:

= 0 / (-6)

= 0

Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.

The correct answer is B) Her sample is 38, 68, 35, 02, 22. This is because the scientist is selecting a random sample of 5 forest sites from a population of 45 without replacement. She is using consecutive pairs of digits from the table of random digits to select her sample.

Starting at the beginning of the line of random digits, the first pair is 38, which corresponds to forest site 38. The second pair is 68, which corresponds to forest site 68. The third pair is 35, which corresponds to forest site 35. The fourth pair is 02, which corresponds to forest site 02. And the fifth pair is 22, which corresponds to forest site 22.
Now, let's select a random sample of 5 forest sites without replacement:
1) 38
2) 35
3) 02
4) 22
5) 24
Thus, the correct answer is not listed in the given options. However, based on the consecutive pairs of digits and following the process mentioned, the sample should be 38, 35, 02, 22, and 24.

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Answer:

y=16

Step-by-step explanation:

If x=-2, then we can substitute for x in the y+3(-2)=10. y-6=10, we add 6 to both sides to isolate y giving y=16

In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.

The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.

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Answer:

i wish i could help but i have to do my work slso that is due 1 min before midnight

Step-by-step explanation:

Answer:

Step-by-step explanation:

Start with f(x)=3x+24 and find the inverse function:

1.  Replace "f(x)" with y:  y = 3x + 24

2.  Interchange x and y:  x = 3y + 24

3.  Solve for y:  3y = x - 24, or y = (1/3)(x - 24)

This last step results in the inverse function.

Now let's test this.  Let x = 36.  How many texts could Madison "do" for this dollar amount?  y = (1/3)(36 - 24) results in y = (1/3)(12), or 4 (texts).

Let's go back to the original f(x)=3x+24, now letting x = 4:

f(x)=3(12)+24 = $36.  This verifies that y = (1/3)(x - 24) is the inverse function of f(x) = 3x + 24.

Answer:

y=1.50x

Step-by-step explanation:

Answer:

what the other person said

Step-by-step explanation:

A vector field is conservative if its curl is zero. The curl of the vector field F is zero, so F is conservative. The scalar potential of F is given by: f(x, y, z) = x^3 + 2xyz + z^4/4 + C. The work done in moving an object in this field from (1, -2, 1) to (3, 1, 4) is: W = f(3, 1, 4) - f(1, -2, 1) = 70

A vector field is conservative if its curl is zero. The curl of a vector field is a vector that describes how the vector field rotates. If the curl of a vector field is zero, then the vector field does not rotate, and it is said to be conservative.

The curl of the vector field F is given by: curl(F) = (3z^2 - 2y)i + (2x - 3z)j

The curl of F is zero, so F is conservative.

The scalar potential of a conservative vector field is a scalar function that has the property that its gradient is equal to the vector field. In other words, F = ∇f.

The scalar potential of F is given by:

f(x, y, z) = x^3 + 2xyz + z^4/4 + C

The work done in moving an object in a conservative field from one point to another is equal to the change in the scalar potential between the two points. In this case, the work done in moving an object from (1, -2, 1) to (3, 1, 4) is:

W = f(3, 1, 4) - f(1, -2, 1) = 70

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Answer:

64

Step-by-step explanation:

it's 64

Answer:

A 2,3,6 :)

Step-by-step explanation:

thats answer corect me if im wrong hope it help

Answer:

Options B, D, E

Step-by-step explanation:

If triangle ABC and triangle PQR are congruent,

∠A ≅ ∠P

∠B ≅ ∠Q

∠C ≅ ∠R

AB ≅ PQ

BC ≅ QR

AC ≅ PR

Therefore, Options B, D, E are the correct options.

The direction of inequality is reversed when you multiply or divide both sides by a negative value.

When expressions are compared using the operators "less than" (), "less than or equal to" (=), "greater than" (>), or "greater than or equal to" (>=), an inequality is created.

Example- x + 3 <= 10

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not.

The solution set of an inequality is the set of all solutions.

The solution set of example 1 is the set of all x <= 7. In interval notation, this set is (-inf, 7], where we use inf to stand for infinity.

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The probability that abc ab a is divisible by 3 is 13/27.

Probability

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We group this into groups of 3, because 3|2010. This means that every residue class mod 3 has an equal probability.

If 3|a, we are done. There is a probability of 1/3 that that happens.

Otherwise, we have 3 | bc + b + 1, which means that b (c + 1 ) = 2  mod{3}. So either

b = 1     mod (3)          c = 1     mod (3)

or

b = 2    mod (3)          c = 0     mod (3)

Which will lead to the property being true. There is a 1/3 * 1/3 = 1/9 chance for each bundle of cases to be true.

Thus, the total for the cases is 2/9. But we have to multiply by 2/3 because this only happens with a 2/3 chance. So the total is actually 4/27.

The grand total is

1/3 + 4/27  = 13/27

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Answer:

\(2903040\)

Step-by-step explanation:

Answer:

2,903,040 is correct answer

If the Uptown bank lends $22200 at 6.9% , then the amount of each monthly payment is (d) $530.57  .

The amount that Uptown bank will lend is = $22200 ,

the rate is = 6.9% ,since it is compounded monthly ,

So , monthly rate is = 6.9%/12 = 0.00575 ,

the time for which the car is financed is = 48 months ,

So , to calculate the monthly payment, we can use the formula:

⇒ P = (PV × r)/(1 - (1 + r)⁻ⁿ)

Where P is monthly payment, PV is present value of loan, r = monthly interest rate, and n = number of payments.

In this case, PV = $22200, r = 6.9%/12 = 0.00575 (monthly interest rate), and n = 48.

Substituting these values in monthly payment formula, we get:

⇒ P = (22200×0.00575)/(1 - (1 + 0.00575)⁻⁴⁸)

⇒ P ≈ $530.57

Therefore, the monthly payment will be approximately $530.57 . The correct answer is (d) $530.57 .

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The given question is incomplete , the complete question is

Uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?

(a) $593.60

(b) $549.08

(c) $578.38

(d) $530.57

Answer:

Step-by-step explanation:

that's it?

Answer:

  8%

Step-by-step explanation:

You want to know what percentage of milkshakes had whipped cream if 2 had whipped cream and 23 didn't.

The fraction of the total number that had whipped cream is ...

  2/(2+23) = 2/25

The percentage is found by multiplying the fraction by 100%:

  2/25 × 100% = 8%

8% of the milkshakes had whipped cream.

Answer:x=3 , y=-5 OR (3,-5)

Step-by-step explanation:

Answer: When c is 2, the answer is 8. 8 is less than 9. So as the value of c increases, the value of the expression decreases in this case.

Step-by-step explanation:

Traveling at a speed of 1000 miles per hour for 7.5 * 10⁵ hours would result in traveling a distance of 7.5 * 10⁸ miles.

To calculate the distance traveled, we can multiply the speed by the time traveled.

Speed = 1000 miles per hour

Time = 7.5 * 10⁵ hours

Distance = Speed * Time

Distance = 1000 miles/hour * 7.5 * 10⁵ hours

To perform this calculation, we can multiply the numerical values and keep the scientific notation for the result:

Distance = 1000 * 7.5 * 10⁵ miles

Distance = 7.5 * 10⁸ miles

Therefore, traveling at a speed of 1000 miles per hour for 7.5 * 10⁵ hours would result in traveling a distance of 7.5 * 10⁸ miles.

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The amount of commission amount that  Shayna make on the 3 sales is $5,040.

First step is to calculate the commission she makes on total sales over $83,000.

Sales commission=18%×$83,000

Sales commission=$14,940

Second step is to calculate the commission she makes If she sold 3 vehicles in 1 day at $37,000

Sales commission=(3×$37,000)×18%

Sales commission=$111,000×18%

Sales commission=$19,980

Third step is to calculate the he commission she makes on the 3 sales

Sales commission=$19,980-$14,940

Sales commission=$5,040

Inconclusion the amount of commission amount that  Shayna make on the 3 sales is $5,040.

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Given information: Mass of dolphin, m = 1800 N; Height of jump, h = 2.10 m.

The gravitational potential energy of the dolphin can be calculated as follows: Gravitational potential energy = mgh where, m is the mass of the dolphin, g is the acceleration due to gravity, and h is the height of the jump.

Given that the dolphin jumps from the water, its initial potential energy is zero. Hence, the total energy of the dolphin is equal to the potential energy at the highest point. At this point, the kinetic energy of the dolphin is also zero. Therefore, the energy conservation equation can be written as follows: mg h = (1/2)mv²where, v is the velocity of the dolphin just before it jumps out of the water.  

Solving for v, we get v = sqrt(2gh)where sqrt denotes the square root, g is the acceleration due to gravity, and h is the height of the jump. Substituting the given values, we get v = sqrt(2 x 9.8 x 2.10)v = 6.22 m/s Therefore, the dolphin must be moving at a speed of 6.22 m/s as it leaves the water in order to jump to a height of 2.10 m.

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Answer:

The first one is 7.8

The second one is 3.3 x 10^3

The third one is 2.1 x 10^-3

The fourth one is 3.7

Hope that helps! :)

Step-by-step explanation:

The tiles are matched for the exponential equations as:

a) ( 8.6 x 10⁷ ) x ( 9.1 x 10⁻⁸ ) = 7.8

b) ( 6.9 x 10⁵ ) x ( 4.8 x 10⁻³ ) = 3.3 x 10³

c) 2.1 x 10⁻³

d) 3.7

Given data:

The exponential equation is represented as A

Now, the value of A is

From the laws of exponents , mᵃ×mᵇ = mᵃ⁺ᵇ

a)

A = ( 8.6 x 10⁷ ) x ( 9.1 x 10⁻⁸ )

So, on simplifying the equation:

A = ( 8.6 x 9.1 ) x ( 10⁷⁻⁸ )

A = 78.26 x 10⁻¹

A ≈ 7.8

b)

A = ( 6.9 x 10⁵ ) x ( 4.8 x 10⁻³ )

So, on simplifying the equation:

A = ( 6.9 x 4.8 ) x ( 10⁵⁻³ )

A = 33.12 x 10²

A ≈ 3.3 x 10³

c)

\(A=\frac{(3.7*10^{2})*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})}\)

On simplifying:

A = ( 17.02 / 7.98 ) x 10⁻³

So, A ≈ 2.1 x 10⁻³

d)

\(A=\frac{(3.1*10^{5})*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}\)

On simplifying:

A = ( 16.43 / 44.53 ) x 10

A ≈ 3.7

Hence , the exponential equations are solved.

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When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Answer:

answer is x=6 .

Step-by-step explanation:

10+(50×5)=260

10+(50×6)=310

10+(50×7)=360

so 10+300= 310 showing it 310 is greater that or equal to 50×6+10=310

Answer:

<

Step-by-step explanation:

Answer:

calculate the number of atom in 3 mol helium

Answer:

d = 48

Step-by-step explanation:

Answer:

1hr = $9

7hrs = (9×7)

=$63

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY.