I need the answer to C.

The expression equivalent to \(\frac{12x^{4} }{4x^{16} }\) is 3\(x^{-12}\) or 3\(x^{4-16}\).that is option C) is correct.

According to the question the expression that we have been given to us is :

               \(\frac{12x^{4} }{4x^{16} }\)

Note that we know the property of exponent which states that if teh exponents with same base and different power are divided then the powers are subtracted. That is,  

                 \(\frac{x^{m} }{x^{n} } = x^{m-n}\)          (1)

Now using this rule we will evaluate the equation given that is

             = \(\frac{12}{4} * \frac{x^{4} }{x^{16} } \\\\\)

First we will divide 12/4 which gives 3 then we will apply the property of exponent to the exponent function which gives,

             = 3 \(x^{4-16}\)

             = 3 \(x^{-12}\)

Hence the expression equivalent to \(\frac{12x^{4} }{4x^{16} }\)  is 3\(x^{-12}\)or 3\(x^{4-16}\) that is option C) is correct.

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The Bus 47, with a median of 16 and a mean of 16, typically has the faster travel time.

To compare the data and determine which bus typically has the faster travel time, we need to look at the measures of center for each dataset. The measures of center give us a sense of where the "typical" value is for each dataset.

For the Bus 18 dataset, we see that the median is 13 and the mean is also 13. This tells us that half of the students in the group have a travel time of 13 minutes or less, and the average travel time for the group is also 13 minutes.

For the Bus 47 dataset, we see that the median is 16 and the mean is 16. This tells us that half of the students in the group have a travel time of 16 minutes or less, and the average travel time for the group is also 16 minutes.

Based on these measures of center, we can conclude that Bus 47 typically has a faster travel time than Bus 18. This is because the median and mean travel times for Bus 47 are both higher than those for Bus 18, indicating that the students who take Bus 47 generally have shorter travel times to get to school.

Therefore, the answer is: Bus 47, with a median of 16 and a mean of 16, typically has the faster travel time.

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Answer:

again i can not see the given point

Step-by-step explanation:

Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line

Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed

Answer:

19 dimes and 13 quarters

Step-by-step explanation:

Let's start by defining some variables:Let's call the number of dimes the man has "d".

Let's call the number of quarters the man has "q".We know that the man has 32 coins in total, so we can write:

d + q = 32We also know that the total value of the change is 515 cents. Since dimes are worth 10 cents and quarters are worth 25 cents, we can write an equation for the total value in cents:

10d + 25q = 515

We now have two equations with two variables, which we can solve simultaneously. Let's rearrange the first equation to solve for one of the variables:

d = 32 - q

We can substitute this expression for "d" into the second equation:

10(32 - q) + 25q = 515Simplifying and solving for "q", we get:

320 - 10q + 25q = 515

15q = 195

q = 13

So the man has 13 quarters. We can substitute this value into the first equation to find the number of dimes:

d + 13 = 32

d = 19

Therefore, the man has 19 dimes and 13 quarters.

There are 19 dimes and 13 quarters.

Let x represent the number of dimes and y represent the number of quarters.

There are a total of 32 coins, so:

x + y = 32

We know that the total value of the change is 515 cents

. The value of x dimes is 10x cents and the value of y quarters is 25y cents. So:

10x + 25y = 515

We can simplify the first equation by solving for one variable in terms of the other:

x + y = 32x = 32 - y

Now we can substitute this expression for x into the second equation:

10(32 - y) + 25y = 515

Simplify and solve for y:

320 - 10y + 25y = 515

15y = 195y

y = 13

So there are 13 quarters. We can find the number of dimes by substituting y = 13 into x + y = 32:x + 13 = 32x = 19So there are 19 dimes.

So, There are 19 dimes and 13 quarters.

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i dont know

what  the hell

Answer:

parallel

Step-by-step explanation:

find the slope of each line

Line 1   (5-2)/(-4-2) = 3/-6 =-1/2

Line 2  (-4--9)/(-6-4)= 5/-10 = -1/2

The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

A numerical expression is characterized as the assortment of numbers factors and works by utilizing operations like expansion, deduction, multiplication, and division.

Considering that;

The expression is,

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

Presently, We can place x and y in the above expression as;

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

⇒ [- 5/(- 2 - 1) ] (- 4) - [-5×-2 + (- 3)]/(- 1)

⇒ [ - 5/ - 3 ] (- 4) - [10 - 3]/(- 1)

⇒ - 20/3 + 7

⇒ 1/3

In this way, The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

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Answer:

4, 22  See below

Step-by-step explanation:

2x + y = 30

5x + y = 42

Subtract the first from the second

3x = 12

x = 4 so socks cost $4

Put that into one of the original equations

2x + y = 30

2(4) + y = 30

8 + y = 30

y = 22 slippers cost $22

Answer:

y=22

Step-by-step explanation:

Take the second statement as equation 1 and the first statement as equation 2 and subtract to eliminate y:

5x + y = 42

-(2x + y = 30)

--------------------

3x   + 0 = 12      --> x = 4

substituting x = 4 into 2x + y = 30  --> 8 + y = 30   --> y = 22

(x,y) = (4,22)

checking by adding the two equations substituting in (4,22)

20 + 22 = 42

8 + 22  = 30

---------------------

28 + 44 = 72

   72 = 72       √

The velocity of a car relative to the train can be found by subtracting the velocity of the train from the velocity of the car relative to the ground. This can be represented mathematically as: VCT = VCG - VTG, where VCT is the velocity of the car relative to the train, VCG is the velocity of the car relative to the ground, and VTG is the velocity of the train relative to the ground.

To understand this formula, we need to know the concept of relative velocity. Relative velocity refers to the velocity of an object with respect to another object. In this case, the car and the train are moving with respect to the ground, but we want to find the velocity of the car with respect to the train.

Let's assume that the car is moving at 60 km/h relative to the ground and the train is moving at 80 km/h relative to the ground in the same direction. Then, the velocity of the car relative to the train can be found as:

VCT = VCG - VTG
VCT = 60 - 80
VCT = -20 km/h

The negative sign indicates that the car is moving in the opposite direction of the train. Therefore, the velocity of the car relative to the train is 20 km/h in the direction opposite to the train.

In conclusion, to find the velocity of the car relative to the train, we need to subtract the velocity of the train from the velocity of the car relative to the ground. This is an important concept in physics and is used in many real-life situations.

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Step-by-step explanation:

So a dice has 6 faces, and one of those faces is 4, so the chance of rolling a 4 is 1 in 6 chance, 1/6. Since the five others faces are not 4, the chance of not rolling a 4 is 5/6.

The P-value for the hypothesis test H₀: p = 0.9 against H₁: p ≠ 0.9, at α = 0.056, is less than 0.056.

What is hypothesis test?

A hypothesis test is a statistical procedure used to make inferences or draw conclusions about a population based on sample data. It involves formulating two competing hypotheses, the null hypothesis (H₀)

In this hypothesis test, we are interested in determining if the proportion (p) of customers who are satisfied or very satisfied with a corporation's products and services is different from 0.9.

The null hypothesis (H₀) states that the proportion is equal to 0.9, while the alternative hypothesis (H₁) states that the proportion is not equal to 0.9.

To test these hypotheses, we use a binomial proportion test. From the given information, we have a sample of 1000 customers, and 850 of them are satisfied or very satisfied.

Using the sample proportion calculated as 850/1000 = 0.85, we can calculate the test statistic, which follows an approximately standard normal distribution under the null hypothesis.

Since the P-value is less than 0.056, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of satisfied or very satisfied customers is different from 0.9.

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Answer: Tony paid $1.20 less than Keith paid.

Step-by-step explanation: Easy math, try asking your teacher for help. It takes time.

Step-by-step explanation:

so, if I understand you correctly and nothing was left out :

f(t) = t² + 8t + 9

d(t) = t² + 11t + 4

just by looking at the 2 functions, it is clear that d(t) creates larger functional values for higher values of t.

because t² = t², but 11t > 8t. and the constants in the end are irrelevant for larger numbers.

so the pool will drain.

a.

w(t) = f(t) - d(t) = t² + 8t + 9 - t² - 11t - 4 = -3t + 5

b.

yes, it will completely drain, as -3t will drive it to 0, and if it was physically possible into the negative ask the way to -infinity.

c.

-3t + 5 = 0

5 = 3t

t = 5/3

it will be completely drained after

1 2/3 hours = 1 hour 40 minutes.

d.

to intersect they need to create the same result for a value of t :

t² + 8t + 9 = t² + 11t + 4

8t + 9 = 11t + 4

-3t + 5 = 0

t = 5/3 or 1 hour 40 minutes.

that means that the filling and the draining are only equal, when there is no water in the pool.

that also means that f(t) is actually calculating how much water there is in the pool, if there would not be no drain, with a starting value of 9.

e.

the domain is the interval or set of all valid input values (here for t).

negative t (hours) don't make any sense for any of the 3 functions.

but f(t) can go on theoretically forever. but usually it's limited by the size of the pool (once it reaches the top, there is no more filling). we just don't know anything about that.

so, the domain for f(t) is

0 <= t < +infinity

d(t) could go on and on as well, as long as there is water in the pool.

so, the domain for d(t) is also

0 <= t < +infinity

but w(t) based on its meaning and definition makes only sense between the start (t = 0) and until the water is fully drained by the combination of f(t) and d(t).

so, the domain of w(t) is

0 <= t <= 5/3

we could define w(t) as segmented function

w(t) = -3t + 5 0 <= t <= 5/3

= 0 t > 5/3

THEN the domain would be again

0 <= t < +infinity

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:

2r ^2  +61+3x

Step-by-step explanation:

1 Collect like terms.

(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r

​2

​​ −r

​2

​​ )+(58−6+9)+3x

2 Simplify.

2{r}^{2}+61+3x2r

​2

​​ +61+3x

The required probability is obtained as:

(a) P(X^2 < 1) = 0.8413.

(b) P(X^2 + Y^2 < 1) = 0.7854.

(a) We know that X^2 follows a chi-squared distribution with 1 degree of freedom, which can be written as X^2 ~ chi-squared(1). Therefore, we can find P(X^2 < 1) as:

P(X^2 < 1) = P(Z < √1) (where Z ~ chi-squared(1))

Since the square of a standard normal distribution is a chi-squared distribution with 1 degree of freedom, we can rewrite the above equation as:

P(X^2 < 1) = P(Z < 1) (where Z ~ N(0,1))

Using a standard normal distribution table or calculator, we can find that P(Z < 1) = 0.8413. Therefore, P(X^2 < 1) = 0.8413.

(b) We can rewrite X^2 + Y^2 < 1 as the inequality r^2 < 1, where r is the distance from the origin to the point (X,Y) in the xy-plane. Therefore, we need to find the probability that the point (X,Y) falls within the unit circle centered at the origin.

We can use polar coordinates to express X and Y as:

X = Rcosθ

Y = Rsinθ

where R is the distance from the origin to (X,Y), and θ is the angle between the positive x-axis and the line connecting the origin and (X,Y). Since X and Y are independent N(0,1) random variables, R^2 = X^2 + Y^2 follows a chi-squared distribution with 2 degrees of freedom, which can be written as R^2 ~ chi-squared(2).

Therefore, we can find P(X^2 + Y^2 < 1) as:

P(X^2 + Y^2 < 1) = P(R^2 < 1) (where R^2 ~ chi-squared(2))

Using the cumulative distribution function (CDF) of the chi-squared distribution with 2 degrees of freedom, we can find that:

P(R^2 < 1) = 0.7854

Therefore, P(X^2 + Y^2 < 1) = 0.7854.

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Analyze problem

find ratio

4-1

find how many people(given)

78/1=78

78*4=

312

312 people

Answer:

19 people remaining 2 people.
Give Branliest please!

it is possisend at 6 and 2/3

Answer:

√43.

Step-by-step explanation:

It is at approximately 6.6

6.6^2 = 43.56

so, the answer is √43.

Answer:

$0.02

Step-by-step explanation:

0.60/30

∫cos(x)/8+cos(x)dx can be evaluated using substitution by letting w = sin(x) and the antiderivative is ∫ (1/8 + w)/sqrt(1-w^2) dw. ∫cos(x)/8+sin(x)dx cannot be evaluated using substitution.

To determine if substitution can be used to evaluate an integral, we can try to identify a pattern in the form of an integral. For example, we want to see if we can let w be equal to a part of the integrand that can simplify the integral and make it easier to solve. In the case of ∫cos(x)/8+cos(x)dx, we can let w = sin(x) which simplifies the integral to a standard form that can be solved using standard techniques. However, in the case of ∫cos(x)/8+sin(x)dx, there is no simplification possible by using substitution.

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Step-by-step explanation:

If there are 2 points (a,b) and (c,d),

then the slope = (d - b)/(c - a) = (b - d)/(a - c)

Therefore slope = (10 - 4)/(4 - 2) = 6/2 = 3

The point-slope form of a line is

y = mx + b, where m is the slope and b is the y-intercept Substituting either point (2,4) or (4,10) into the equation is fine.

(4) = (3)(2) + b

4 = 6 + b

b = 4 - 6 = -2

y = 3x - 2

Or

(10)=(3)(4) + b

10 = 12 + b

b = 10 - 12 = -2

y = 3x - 2

The new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.

(a) The values of E(θ^1) and E(θ^2) are unknown without further information. Being unbiased estimators means that, on average, they provide estimates that are equal to the true population parameter θ. Therefore, we have:

E(θ^1) = θ

E(θ^2) = θ

(b) To find the expectation E(θ^3), we can use the linearity property of expectations:

E(θ^3) = E(aθ^1 + (1 - a)θ^2)

Since θ^1 and θ^2 are unbiased estimators, their expectations are equal to θ:

E(θ^3) = E(aθ^1 + (1 - a)θ^2) = aE(θ^1) + (1 - a)E(θ^2)

Using the values from part (a), we have:

E(θ^3) = aθ + (1 - a)θ = θ(a + 1 - a) = θ

Therefore, the new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.

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Answer:

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

9

7

= 1.2857142857143

θ =

arctan( ΔY )

ΔX

= 52.125016348902°

ΔX = 49 – 21 = 28

ΔY = 63 – 27 = 36

Distance (d) = √ΔX2 + ΔY2 = √2080 = 45.607017003966

Equation of the line:

y = 1.2857142857143x – 3.5527136788005E-15

When x=0, y = -3.5527136788005E-15

When y=0, x = 2.7632217501782E-15

If 1 Point and the Slope are Known:0.75

Answer:

3.8

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Since the tenths place is where the 8 is 8 is over 5 and is closest to ten

The total surface area of each figure are:

1)  2,557.3 yd²

2) 601.02 m₂

3) 3782.5 mm²

4)750 in²

1) The total surface area of a cylinder is:

2πrh + 2πr².

where:

r is radius

h is height

Thus:

TSA = 2π(11 * 26) + 2π(11)²

TSA = 2π(286) + 2π(121)

TSA = 2π(407)

TSA = 2,557.3 yd²

2) The total surface area is:

2(¹/₂ * 9 * 11.12) + (16 * 15) + (16 * 12) + (9 * 16)

= 25.02 + 240 + 192 + 144

= 601.02 m₂

3) The total surface area of a cylinder is:

2πrh + 2πr².

where:

r is radius

h is height

Thus:

TSA = 2π(14 * 29) + 2π(14)²

TSA = 2π(406) + 2π(196)

TSA = 2π(602)

TSA = 3782.5 mm²

4) The total surface area of the pyramid is:

TSA = (15 * 8) + (21 * 17) + (21 * 15) + (8 * 21)

TSA = 120 + 147 + 315 + 168

TSA = 750 in²

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Answer:

dude

Step-by-step explanation:

use a ruler

Answer:

40

Step-by-step explanation:

area of shaded region = area of whole figure - area of non shaded region

area of whole figure: The whole figure is a rectangle

The area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 10ft and the given length is 8ft

Hence area of whole figure = 10 * 8 = 80ft²

Area of non shaded region: the non shaded region also creates a rectangle

Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 5ft and the given length is 8ft

Hence, area of non shaded region = 5 * 8 = 40ft²

Finally we can find the area of the shaded region.

We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure

If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40

Then, area of shaded region = 80 - 40 = 40ft²

Answer:

320

Step-by-step explanation:

2 times 64 plus 4 times 48 equals 320