Two numbers have these properties. * Both numbers are greater than 6 * Their highest common factor (HCF) is 6 * Their lowest common multiple (LCM) IS 60 Find the two numbers

Answer:

1

Step-by-step explanation:

So we can actually simplify the exponents here. The power rule for exponents is that when multiplying, you add the exponents. So,

3 + (-3) = 0

so the number is now 4^0.

Everything by the power of 0 is equal to 1, so the answer is 1.

Hope this helps !!

-Ketifa

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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The derivative of the function f(x)=e^{x+1}-1 among a. e^{x} b. e^{x+1} c. e^{x+1}(x+1) d. e^{x}+1, the derivative of the function f(x) = e^(x+1) - 1 is e^(x+1).

To find the derivative of f(x), we can use the rules of differentiation. The derivative of e^u, where u is a function of x, is given by the chain rule: (d/dx)(e^u) = e^u * du/dx.

In this case, u = x + 1, so we have:

f(x) = e^(x+1) - 1.

To find the derivative, we differentiate each term separately. The derivative of e^(x+1) is e^(x+1) multiplied by the derivative of (x+1), which is 1. The derivative of -1 is 0. Therefore, the derivative of f(x) is:

f'(x) = e^(x+1) * 1 - 0 = e^(x+1).

Hence, the correct answer is option b. e^(x+1).

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The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

To calculate the proportion of vegetarians to non-vegetarians in Bradley's country, one needs to first assess the amount of vegetarians and non-vegetarians living there.

This can be accomplished through reliance on surveys, census data, or further research methods. By dividing the number of vegetarians in comparison to the total number of both vegetarians and non-vegetarians, one can generate a ratio that reveals this information.

For example, let's say Bradley's country contains 5 million vegetarians among a general population of 50 million people. The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

Similarly, as Bradley attempts to distinguish appropriate vegetable, meat, and dessert recipes for his cookbook - 10%, 18%, and 42% respectively - he can utilize this same formula. As an example it could be assumed that if there are 150 recipes in total then 15 would incorporate vegetables as part of their contents - 10% out of 150 recipes - while 30% or 27 recipes would idealized around containing meat components as well as 70% or 63 desserts.

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Answer:

better measure the center:the mean

Answer:

The best measure of senter would be the mean since it is not symmetrical.  The better measure of spread would be standard deviation for the same reason.

Step-by-step explanation:  I have just finished algebra. lol.  I hope i helped.  Please mark brainliest, if you want.  I dont have the best explanation but i hope it works for you.  If you need a better explanation feel free to ask.

The t critical values are:

(a) 2.571, (b) 2.306, (c) 3.169, (d) 3.250, (e) 2.831, (f) 2.750

We have,

(a) Using a t-table or calculator,

The t critical value for a two-sided confidence interval at a 95% confidence level with df = 5 is 2.571.

(b)

Using a t-table or calculator,

The t critical value for a two-sided confidence interval at a 95% confidence level with df = 10 is 2.228.

(c)

Using a t-table or calculator,

The t critical value for a two-sided confidence interval at a 99% confidence level with df = 10 is 3.169.

(d)

Using a t-table or calculator,

The t critical value for a two-sided confidence interval at a 99% confidence level with n = 10 is 3.250.

(e)

Using a t-table or calculator,

The t critical value for a two-sided confidence interval at a 98% confidence level with df = 21 is 2.518.

(f)

Using a t-table or calculator,

The t critical value for a two-sided confidence interval at a 99% confidence level with n = 36 is 2.718.

Thus,

The critical values are:

(a) 2.571, (b) 2.306, (c) 3.169, (d) 3.250, (e) 2.831, (f) 2.750

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The area of the triangle is 14 square cm

From the question, we have the following parameters that can be used in our computation:

Base = 7 cm

Height = 4 cm

The area formula is given as

Area = 0.5 *  Base * Height

substitute the known values in the above equation, so, we have the following representation

Area = 0.5 * 7 * 4

Evaluate

Area = 14

Hence, the area is 14 square cm

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Complete question

The expression 1/2bh gives the area of a triangle where b is the base of the triangle and h is the height of the triangle. What is the area of a triangle with a base of 7 cm and a height of 4 cm?

We have the following details

mean = 554

n = 60

bar x = 567

alpha = 0.01

A. h0. u = 554

H1. u > 554

B. Given that the standard deviation is known what we have to make use of is the independent z test

test statistics calculation

567-554/(39/√60)

= 2.582

d. at alpha = 0.01 and test statistics = 2.582, the value of the p value = 0.0049

0.0049  < 0.01. So we have to reject the null hypothesis.

e. Yes We have to accept that  we support the preparation course's claim that the population mean SAT score of its graduates is greater than 554

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Answer:

(x + 13, y + 7)

Step-by-step explanation:

Hello there!

In order to find what the translation rule is, we need to find how much it move to the right/left and up/down

In this case, the line segment VW moved up 7 and to the right by 13

We can get this by checking how far apart the points are

I checked how far apart V and V prime

(V prime is the green V. When a point is primed, its just saying that the point has gone through translation, rotation, dilation, or reflection)

V is 13 units to the left of V prime and 7 units below V prime

This means that, to go from line VW to line V prime W prime, you need to shift the line up 7 units and to the right 13 units

So, the translation rule is (x + 13, y + 7)

*If you don't understand, tell me in the comments, I will try to explain further to your understanding. Thank you, and have a great rest of your day :)*

It will take approximately 220 months (18.33 years) to pay off the mortgage.

Given, A mortgage of $125,600 at a 4.95 percent APR and payment of $1,500 each month. To find out how many months it will take to pay off the mortgage, we need to use the formula for amortization.

Amortization formula: P = (r * A) / [1 - (1+r)^-n] Where P is the Principal amount, A is the periodic payment, r is the interest rate, and n is the total number of payments required.We have, P = $125,600, A = $1,500, and r = 4.95% / 12 = 0.004125 (monthly rate).

Now, let's put the values into the formula and solve for n.

(125600) = [(0.004125) × 1500] / [1 - (1 + 0.004125)^-n](125600) / [(0.004125) × 1500]

= [1 - (1 + 0.004125)^-n]0.20442

= [1 - (1 + 0.004125)^-n]1 - 0.20442

= (1 + 0.004125)^-n0.79558

= (1 + 0.004125)^nln(0.79558) = n * ln(1.004125)ln(0.79558) / ln(1.004125)

= nn = 219.65

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If only two out of the five people show up for the meeting, it is possible in 10 different ways.

If five people plan to meet after school and there will be one group of five people if they all show up, but only two people show up, we need to determine the number of ways this can happen.

To find the number of ways two people can show up out of the five, we can use combinations. In a combination, the order of selection does not matter.

The number of ways to choose two people out of five can be calculated using the formula for combinations, denoted as "nCr", where n is the total number of people and r is the number of people we want to choose.

In this case, we want to choose 2 people out of 5, so the calculation would be:

5C2 = (5!)/(2!(5-2)!) = (5!)/(2!3!) = (5 \(\times\) 4)/(2 \(\times\) 1) = 10

Therefore, there are 10 possible ways for two people to show up out of the five if all of them plan to meet after school.

These 10 possibilities could be different combinations of any two individuals out of the five.

To determine the specific combinations, you can list all the pairs or use a combination formula calculator.

It's important to note that the order in which the two people show up does not matter, as long as they are two out of the five originally planning to meet.

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Answer:

After eight hours 6,561 people will know the rumor.

Step-by-step explanation:

Since each hour, every person who knows a rumor tells two other people, so that if one person starts the rumor, then after the first hour, three people know the rumor, and the next hour, those three people each tell two more people, to determine after eight hours, how many people will know the rumor, the following calculation must be performed:

Hour 0 = 1

Hour 1 = 1 + 2 = 3

Hour 2 = 3 + 2 x 3 = 9

Hour 3 = 9 + 2 x 9 = 27

Hour 4 = 27 + 2 x 27 = 81

Hour 5 = 81 + 2 x 81 = 243

Hour 6 = 243 + 2 x 243 = 729

Hour 7 = 729 + 2 x 729 = 2,187

Hour 8 = 2,187 + 2 x 2,187 = 6,561

Therefore, after eight hours 6,561 people will know the rumor.

Answer: $14

Step-by-step explanation:

First, find the amount it will cost with one guest(x):

\(\frac{10}{5} =\frac{x}{1} \\\\10=5x\\\\x=\frac{10}{5} =2\)

Then, use ratios to find the amount it will cost with seven guests(y):

\(\frac{2}{1} =\frac{y}{7} \\\\y=14\)

Not sure if this is how you want it to be solved.

I'm going to assume that you are trying to find the volume of a rectangular prism.

Volume formula: V = lhw

V = 10*9*7

V = 90*7

V = 630

Therefore, the volume is 630mi³

Best of Luck!

The derivative of the function f(t) = 21​(7t2+t)−3 is given by;f'(t) = -42t(7t² + t)⁻⁴ - 3(7t² + t)⁻⁴

To find the derivative of the function f(t) = 21​(7t2+t)−3, we have to differentiate it using the chain rule of differentiation. We can apply the power rule and the chain rule.

Let u = 7t² + t and y = u⁻³, then we get:y = u⁻³y' = -3u⁻⁴u'

Now, we have to differentiate u with respect to t as shown below:

                                       u = 7t² + t u' = 14t + 1

Using the chain rule, we have: y' = -3u⁻⁴u' Substituting u and u' in the equation above, we get:

                                       y' = -3(7t² + t)⁻⁴(14t + 1)

Simplifying the equation above, we get:

                                            y' = -42t(7t² + t)⁻⁴ - 3(7t² + t)⁻⁴

Therefore, the derivative of the function f(t) = 21​(7t2+t)−3 is given by;f'(t) = -42t(7t² + t)⁻⁴ - 3(7t² + t)⁻⁴

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Answer:

no sign (not positive or negative)

Step-by-step explanation:

The value of the expression

4.3 ⋅ (-3.2) ⋅ 0

is 0, as the value of any number multiplied by zero is 0.

The number zero is neither positive or negative; hence there is no sign.

Answer:

The gallon for 3.98, you get ore for your money

Step-by-step explanation:

Answer:

$3.98

Step-by-step explanation: if you was to get 2 half gallons of milk it would be $4 if you get one Whole gallon its $3.98

Answer:

The dot plot represents the individual weights of the puppy at different number of the day in March.

The first dot, happens to be when the puppy is 4 while the last dot happens to be when the number of the puppy is 18

Step-by-step explanation:

Calculating this expression yields a mean age of approximately 47.2 years.

The median is the middle value, which is 46.3 years.

Calculating this expression yields a new mean age of approximately 45.9 years.

(a) To calculate the mean age of the nine faculty members, we sum up all the ages and divide by the total number of faculty members:

Mean = (32.2 + 37.5 + 41.7 + 53.8 + 50.2 + 48.2 + 46.3 + 65.0 + 44.8) / 9

(b) To find the median of the ages, we arrange the ages in ascending order and find the middle value. In this case, the ages in ascending order are:

32.2, 37.5, 41.7, 44.8, 46.3, 48.2, 50.2, 53.8, 65.0

(c) To find the new mean age after the retirement and replacement, we remove the age of 65.0 and add the age of 46.5 to the dataset. Then we calculate the new mean:

New Mean = (32.2 + 37.5 + 41.7 + 53.8 + 50.2 + 48.2 + 46.3 + 44.8 + 46.5) / 9

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The joint PDF which is uniform over the triangle with vertices  is:

f(x,y) = 2, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1-x.

Since the joint PDF is uniform over the triangle with vertices at (0,0), (0,1), and (1,0), the joint PDF can be expressed as:

f(x,y) = c, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1-x,

where c is a constant that ensures that the total probability over the entire region is equal to 1. To find c, we can integrate the joint PDF over the entire region:

\(\int \int f(x,y)dydx = \int ^1_0 \int _0^{(1-x)} c dydx\)

\(= \int ^1_0 cx - cx^2/2 dx\)

= c/2

Since the total probability over the entire region must be equal to 1, we have:

∫∫f(x,y)dydx = 1

Thus, we have:

c/2 = 1

c = 2

Therefore, the joint PDF is:

f(x,y) = 2, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1-x.

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Answer:

6677766666

Step-by-step explanation:

5tettrhfhyyf was a good relationship is a different person and then use it for the same thing to do in the same thing as possible but you should not be afraid of the person is not a bad person than the other person than the difference between the difference and what you want and you know it would

To calculate the cost using data from watts produced and watts per unit cost, you can follow these steps:

Determine the total watts produced: Multiply the watts produced by the number of units. Total Watts = Watts Produced × Number of Units

Calculate the cost per unit of electricity: Divide the total watts by the watts per unit cost. Cost per Unit = Total Watts / Watts per Unit Cost

Calculate the total cost: Multiply the cost per unit by the number of units. Total Cost = Cost per Unit × Number of Units

Here's an example to illustrate the calculation:

Let's say you have 10 solar panels, and each panel produces 200 watts. The cost per unit of electricity is $0.15 per watt.

Total Watts = 200 watts/panel × 10 panels = 2000 watts

Cost per Unit = 2000 watts / $0.15 per watt = $13.33 per unit

Total Cost = $13.33 per unit × 10 units = $133.33

Therefore, the total cost of electricity generated by the 10 solar panels would be $133.33.

By multiplying the watts produced by the number of units and dividing it by the watts per unit cost, you can determine the cost per unit. Multiplying the cost per unit by the number of units gives you the total cost.

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Answer:

3584

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

if angle A. and angle B are supplementary

the sum of 2angles ,

angle A + angle B =180 ,

if angle A is less than the angle B

in mathematics form,

let's angle A=X and angle B =X-40

then

angle A+ angle B =180

or, X+ (X - 40)=180

or, 2X=220

or, X=110

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:

Es cierto se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho.

Step-by-step explanation:

Lo que debemos hacer en este caso es dividir la cantidad total de panchos primero por la cantidad de unidades de salchichas que vienen en su paquete y segundo por la cantidad de unidades de panes para panchos que vienen en su paquete, si el resultado nos da un numero entero podemos decir que usa una cantidad completa de paquetes de salchichas y de panes:

96/6 = 16

96/8 = 12

Es decir que para 96 panchos se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho, por lo tanto es cierto.

For given scenario the dependent variable would be the life of flowers.

For given question,

The variable that researchers are trying to explain or predict is called the

response variable. It is also sometimes called the dependent variable

because it depends on another variable.

The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.

The amount of sugar would be an independent variable and the life of flowers is a dependent variable.

Therefore, for given scenario the dependent variable would be the life of flowers.

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On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.

In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.

The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).

\(K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}\)

Curvature of the given curve at x=0x=0 is

=> K not equal to 0 at x= 0

so,

center of curvature exists.

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