A factory produces 270000 000 sweets every
week. How many sweets does the factory
produce in a year? Give your answer in
standard form

The correct statement regarding the quantities in this problem is given as follows:

C. The two quantities are equal.

The first quantity in this problem is given as follows:

\(\frac{2^{30} - 2^{29}}{2}\)

We can apply the common factor in the numerator, hence:

\(\frac{2^{29}(2 - 1)}{2} = \frac{2^{29}}{2}\)

When two terms have the same base and different exponents and are divided, we keep the base and subtract the exponents, hence:

\(\frac{2^{29}}{2} = 2^{29 - 1} = 2^{28}\)

Meaning that the two quantities are equal, hence option c is the correct option for this problem.

More can be learned about exponent rules at https://brainly.com/question/11975096

#SPJ1

Answer:

y intercept=-9

Step-by-step explanation:

Answer:

One person represents 360 degrees / (204 + 84 + 36 + 204 + 12) = 360 degrees / 540 = 4/6 = 2/3 degrees.

Answer:

the range of this function is d

{3,9,12}

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

To Know more about alternative hypothesis:

brainly.com/question/25263462

#SPJ4

The correct that refers Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called evidence.

The term numerical data refers the data which is in the form of numbers, and not in any language or descriptive form.

Here we have to find the suitable term for the statement "Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called".

While we have looking into the given statement, we have identified the following from it,

When we look into the meaning of each one we have identified that each of them are acted as the proof to prove the thing is liable.

So, all these things are collectively called as evidence.

To know more about numerical data here.

https://brainly.com/question/28541113

#SPJ4

Answer:

The estimated percentages i could think of were 2/9, 1/3, 23/90, 20/90

Step-by-step explanation:

estimates include rounding. So i rounded to the nearest fractions and picked out the best ones.

Answer:

26%

Step-by-step explanation:

23/90×100= 26%

note: thanks would be appreciated. thank you!

Answer:

C:-

\(\\ \sf\longmapsto c+115=180\)

\(\\ \sf\longmapsto c=180-115\)

\(\\ \sf\longmapsto c=65°\)

D:-

\(\\ \sf\longmapsto d+70=180\)

\(\\ \sf\longmapsto d=180-70\)

\(\\ \sf\longmapsto d=110°\)

(a) The expression for Raul's monthly data costs is 29.99 + 10 (n - 5).

(b) The minimum number is 9 GB to make the unlimited plan cheaper.

To learn more about numbers, visit :

brainly.com/question/17429689

#SPJ9

Answer:

p=(-0.0125n) + 42.5

Step-by-step explanation:

Let p= price

n = number of shirts

m = slope of the line (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

There are two points which are (1000, $30) and (3000, $5)

Our slope m = (p1-p2)/(n1-n2)

Filling in from our points m = (30-5)/(1000-3000)

m = 25/-2000

m = -0.0125

Since we have determined our slope, we can now find our equation

p-p1=m(n-n1)

p-30=(-0.0125)(n-1000)

p-30= (-0.0125n) + 12.5

p=(-0.0125n) + 42.5

Then, we can double check with the other point there:

p=(-0.0125n) + 42.5

5? (-0.0125x 3000) + 42.5

5= 5

Therefore,linear equation in the form p(n) is

p=(-0.0125n) + 42.5

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

To learn more about set ,

https://brainly.com/question/30368748

#SPJ4

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

For more questions on: compound interest

https://brainly.com/question/31474686

#SPJ8

The partial fraction decomposition of 3x+9/(x+1)(x-5) in terms of x is C = A/(x+1) + B/(x-5).

To find the values of A and B, we solve the system of equations formed by equating coefficients of x and the constant term in equation 3x + 9 = A(x-5) + B(x+1). Solving for A and B, we get A=-3/4 and B=3/4. Substituting these values back into the partial fraction decomposition, we get C = -3/4/(x+1) + 3/4/(x-5).

Therefore, the partial fraction decomposition of 3x+9/(x+1)(x-5) in terms of x is C = -3/4/(x+1) + 3/4/(x-5).

Learn more about partial fraction

https://brainly.com/question/24594390

#SPJ4

Answer:

Answer is C

Step-by-step explanation:

Precalc Edge 2023

The equation in the reduced form of the equation is \(\rm 4p^ 2 + 6p - 8\).

Given that,

Equation; \(\rm 2p^ 2 + 3p - 4\ by\ -2p ^2 - 3p +4\)

We have to reduce the equation.

According to the question,

To reduce the equation means we need to subtract one equation from the other.

To determine the reduced form of the equation following all the steps given below.

Equation; \(\rm 2p^ 2 + 3p - 4\ by\ -2p ^2 - 3p +4\)

Subtraction equation 1 from equation 2,

\(\rm = \rm 2p^ 2 + 3p - 4\ -(-2p ^2 - 3p + 4)\\\\= 2p^ 2 + 3p - 4\ -(-2p ^2 -3p +4)\\\\ = 2p^ 2 + 3p - 4+2p^ 2 + 3p - 4 \\\\ = 4p^ 2 + 6p - 8\)

Hence, The equation in the reduced form of the equation is \(\rm 4p^ 2 + 6p - 8\).

For more details refer to the link given below.

https://brainly.com/question/1807316

Answer:

328 multiplied by the ticket price.

Step-by-step explanation:

If you are to lazy to do the math by multiplying 328 by 12 (like me) you can use a calculator. BUT since you are reading this, here this is the answer.

Answer:

4 * 1.25 =  5

Step-by-step explanation:

4 boxes of pasta (4) at 1.25 (1.25) 'each' (*)

Answer:

5.72430099

Step-by-step explanation:

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

Learn more about pick-up here:

https://brainly.com/question/29144529

#SPJ11

The time it takes to paint the whole bookcase is 50 minutes.

From the information, Wilson paints 40% of a bookcase in 20 minutes.

Let the time taken to paint the whole bookcase be x. This will be illustrated as:

20/x = 40/100

Cross multiply

40x = 100 × 20

40x = 2000.

Divide

x = 2000 / 40

x = 50

The time taken is 50 minutes.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

an intercepted arc is the arc that lies between the _two lines__ of an inscribed angle

According to the question, She has earned an average return of 10.11 percent and now a total of $267,629 in her savings account it has been approximately 6.8619 years since Christina first started saving money.

To determine the number of years since Christina first started saving money, we can use the formula for the future value of a series of regular deposits:

\(\[ FV = PMT \times \frac{{(1 + r)^n - 1}}{{r}} \]\)

where \(\( FV \)\) is the future value, \(\( PMT \)\) is the annual savings amount, \(\( r \)\) is the interest rate, and \(\( n \)\) is the number of years.

We can rearrange the formula to solve for \(\( n \)\):

\(\[ n = \frac{{\log \left( \frac{{FV \times r + PMT}}{{PMT}} \right)}}{{\log(1 + r)}} \]\)

Plugging in the given values:

\(\( FV = \$267,629 \),\)

\(\( PMT = \$14,000 \),\)

\(\( r = 10.11\% = 0.1011 \).\)

Using a logarithm with base 10, we can calculate:

\(\[ n = \frac{{\log \left( \frac{{267,629 \times 0.1011 + 14,000}}{{14,000}} \right)}}{{\log(1 + 0.1011)}} \approx \frac{{\log(27,095.3819 / 14,000)}}{{\log(1.1011)}} \approx \frac{{\log(1.9353)}}{{\log(1.1011)}} \approx \frac{{0.2859}}{{0.0417}} \approx 6.8619 \]\)

Therefore, it has been approximately 6.8619 years since Christina first started saving money."

To know more about savings visit -

brainly.com/question/8105085

#SPJ11

The speed of the plane in still air is 425 mph.

Let's denote the speed of the plane in still air as v, and the speed of the wind as w.

For the first leg of the trip, against the headwind, the effective ground speed is v - w. For the second leg of the trip, with the wind, the effective ground speed is v + w.

Using the formula distance = speed × time, we have:

Time against headwind = 3300 / (v - w)

Time with the wind = 3300 / (v + w)

Given that the return trip with the wind took 16 hours less time, we can set up the equation:

3300 / (v + w) - 16 = 3300 / (v - w)

Simplifying the equation by multiplying both sides by (v - w)(v + w), we get:

3300(v - w) - 16(v - w)(v + w) = 3300(v + w)

3300v - 3300w - 16v² + 16w² = 3300v + 3300w

16w² - 16v² = 6600w

w² - v² = 412.5

Substituting w = 8 mph, we have:

64 - v² = 412.5

v² = 348.5

v ≈ 18.67

Therefore, the speed of the plane in still air is approximately 18.67 x 23,040 = 429.49 mph (rounded to two decimal places).

To know more about speed, refer here:

https://brainly.com/question/31035613#

#SPJ11

Answer:

\(6 + 3x = x - 8 \\ collecting \: like \: terms \: \\ 3x - x = - 8 - 6 \\ 2x = - 14 \\ x = - \frac{14}{2} \\ x = - 7\)

Answer:

60%

Step-by-step explanation:

To write 9/15 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

Step-by-step explanation:

To calculate the potential energy of the ball at its highest point, we first need to find the gravitational potential energy of the ball. Gravitational potential energy is given by the equation:

PE = mgh

where m is the mass of the ball, g is the acceleration due to gravity (9.8 m/s^2 on the surface of the earth), and h is the height of the ball above the ground.

At its highest point, the height of the ball is 80 m, so the gravitational potential energy can be calculated as:

PE = m * g * h = m * 9.8 * 80

where m is the mass of the ball.

Since the ball was thrown at an angle of 30 degrees with the horizontal, its initial velocity can be broken down into horizontal and vertical components:

v0x = v0 * cos(30) = 10 * cos(30) = 10 * sqrt(3)/2 m/s

v0y = v0 * sin(30) = 10 * sin(30) = 10/2 m/s

The potential energy of the ball at its highest point can be found by adding the initial kinetic energy of the ball to its gravitational potential energy. The kinetic energy of the ball can be calculated as:

KE = 1/2 * m * v0y^2

where m is the mass of the ball and v0y is the vertical component of its initial velocity.

The total potential energy of the ball at its highest point is given by:

PE = KE + mgh = 1/2 * m * v0y^2 + m * g * h

Substituting in the given values, we find:

PE = 1/2 * m * (10/2)^2 + m * 9.8 * 80

Note: The mass of the ball (m) is not given, so the answer is given in terms of m.

Answer:

Step-by-step explanation:

PE = 1/2 * m * (10/2)^2 + m * 9.8 * 80

Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

Answer:

slope = \(\frac{1}{2}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 8, 0) and (x₂, y₂ ) = (4, 6) ← 2 points on the line

m = \(\frac{6-0}{4+8}\) = \(\frac{6}{12}\) = \(\frac{1}{2}\)

Answer:

2 x − y = 4

this is in standard

Answer:

2x-y=4

Step-by-step explanation:

Answer:

d.13 the measure of eg that's the answer