The entry ticket to a local football game costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group? Drag the correct value to the appropriate box.

Answer:

(-0,6)

Step-by-step explanation:

Therefore, the expression \(t^{(-3/4)}\) in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

What is the exponential function?

An exponential function is a mathematical function of the form:

f(x) = aˣ

where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.

To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.

Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case,  \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).

Therefore, the expression \(t^{(-3/4)}\)in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

To learn more about the exponential function visit:

https://brainly.com/question/30241796

#SPJ4

Answer:

your answer is d i do beleive i hope i helped:) and also please mark me brainlest

Step-by-step explanation:

Answer:

D is wrong And so is A i just did the test

Step-by-step explanation:

I'm sure its either B or C

The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

Learn more about “20 degrees Celsius  “ visit here;

https://brainly.com/question/827047

#SPJ4

Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

The average rate of change between day 30 and 50 is 0.034 cm/day, the instantaneous rate of change of the height of the plant on day 20 is 0.0416 cm/day.

Given, the height of a plant,

h(t) in centimeters can be modeled by the function

h(t) = 60/ (1+15(2)−0.25t) where t is the number of days after the plant has sprouted.

To calculate the average rate of change of the height of the plant between day 30 and day 50,

we need to find the value of the function at day 30 and day 50 as shown below :

h(30) = 60/ (1+15(2)−0.25(30))

         = 60/ (1+30−7.5)

         = 60/23.5

         ≈ 2.55 cm

h(50) = 60/ (1+15(2)−0.25(50))

         = 60/ (1+30−12.5)

         = 60/18.5

         ≈ 3.24 cm

The average rate of change of the height of the plant between day 30 and day 50 is given by,

average rate of change = (change in height of plant) / (change in days)

We get, average rate of change = (h(50) - h(30)) / (50 - 30)

                                        = (3.24 - 2.55) / 20

                                        ≈ 0.034 cm/day

To estimate the instantaneous rate of change of the height of the plant on day 20,  we need to find the derivative of the given function.

Using quotient rule, we get,

h'(t) = [d/dt (60)] (1+15(2)−0.25t)⁻¹ - [d/dt (1+15(2)−0.25t)⁻¹] (60)

h'(t) = 0.25 (60) (1+15(2)−0.25t)⁻² + 15(0.25) (1+15(2)−0.25t)⁻² (0.25)

h'(t) = (15/4) (1+15(2)−0.25t)⁻² [1 + 0.25(1+15(2)−0.25t)]

h'(t) = (15/4) (1+15(2)−0.25t)⁻² [1 + 3.75 − 0.1875t]

h'(t) = 56.25 (1+15(2)−0.25t)⁻² [1 − 0.00333t]

Therefore, the instantaneous rate of change of the height of the plant on day 20 is given by,

h'(20) = 56.25 (1+15(2)−0.25(20))⁻² [1 − 0.00333(20)]

          ≈ 0.0416 cm/day.

Learn more about instantaneous rate of change from the given link :

https://brainly.com/question/30760748

#SPJ11

Using the dilation rule, the length of P'R' is: C. 12 units.

Given that the scale factor of dilation is 4, and PR is 3.

Therefore:

P'R' = 4(PR)

P'R' = 4(3)

P'R' = 12 units.

Therefore, using the dilation rule, the length of P'R' is: C. 12 units.

Learn more about dilation on:

https://brainly.com/question/10253650

Answer:

Its c (12)

Step-by-step explanation:

Edge

Answer:

The range of the set of number 7.7, 8.4, 9, 8, 6.9 is 2.1.

There are approximately 0.976 grams of carbon (C) in the given sample of the carbohydrate (C9H11O6).

To find the number of grams of carbon (C) in the sample, we need to first determine the molar mass of the carbohydrate.

The molar mass of C is approximately 12.01 g/mol. The molar mass of H is approximately 1.01 g/mol, and the molar mass of O is approximately 16.00 g/mol.

The molar mass of the carbohydrate (C9H11O6) can be calculated as follows:

(9 * 12.01 g/mol) + (11 * 1.01 g/mol) + (6 * 16.00 g/mol) = 162.18 g/mol

Next, we can use the Avogadro's number (6.022 x 10^23) to determine the number of moles in the sample:

4.9 x 10^22 molecules / 6.022 x 10^23 molecules/mol = 0.0813 mol

Finally, we can calculate the mass of carbon in the sample by multiplying the number of moles by the molar mass of carbon:

0.0813 mol * 12.01 g/mol ≈ 0.976 g

So, there are approximately 0.976 grams of carbon in this sample.
There are approximately 0.976 grams of carbon (C) in the given sample of the carbohydrate (C9H11O6).

To find the mass of carbon in the sample, we first need to determine the molar mass of the carbohydrate. The molar mass of an element or compound is the mass of one mole of that substance. In this case, we have the formula C9H11O6, which indicates that the carbohydrate consists of 9 carbon atoms (C), 11 hydrogen atoms (H), and 6 oxygen atoms (O).

The molar mass of carbon is approximately 12.01 g/mol, hydrogen is approximately 1.01 g/mol, and oxygen is approximately 16.00 g/mol. To calculate the molar mass of the carbohydrate, we multiply the number of atoms of each element by their respective molar masses and sum them up.

Therefore, the molar mass of C9H11O6 is

(9 * 12.01 g/mol) + (11 * 1.01 g/mol) + (6 * 16.00 g/mol) = 162.18 g/mol.

Next, we can use the Avogadro's number (6.022 x 10²³) to determine the number of moles in the given sample. The given sample contains 4.9 x 10²²molecules of the carbohydrate. Dividing this by Avogadro's number gives us the number of moles:

4.9 x 10 molecules / 6.022 x 10^23 molecules/mol = 0.0813 mol.

Finally, we can calculate the mass of carbon in the sample by multiplying the number of moles by the molar mass of carbon: 0.0813 mol * 12.01 g/mol ≈ 0.976 g. Therefore, there are approximately 0.976 grams of carbon in the given sample.

In conclusion, the sample of the carbohydrate (C9H11O6) contains approximately 0.976 grams of carbon (C).

To know more about Avogadro's number visit:

brainly.com/question/16348863

#SPJ11

Answer: 10  3/4. OR 43/4

Step-by-step explanation:

we see that there are two lines, one with the total amount (at bottom), and one with two small parts of the line measurement included (top)

we can simply add the two small measurements together and then subtract the total measurement line (15/1/2) to the added amount.

3 1/2 = 3 2/4

(3 1/2 is simplified version, 1 times 2 is 2 and 2 times 2 is 4, so we get 2/4)

3 2/4+ 1 1/4 = 4 3/4

4 3/4 = 19/4
4 times the 4 (from 3/4) is 16, plus the 3 (from 3/4)

and

15 1/2 = 15 2/4 = 62/4

15 times 4 (from 2/4) is 60, plus the 2 (from 2/4)

Now we do 62/4 minus 19/4

DON’T minus the denominator 4!

(Basically is) 62-19=43

Answer: 43/4

you can also divide 43 by 4, to get 10 3/4

Answer:

Divide both sides by 2

Step-by-step explanation:

We have the equation

2(x + 14) = 40

We divide both sides by 2

2(x + 14) = 40/2

x + 14 = 20

x = 20 - 14

x = 6

Therefore, the most helpful first step for solving Ravi's equation is: Divide both sides by 2

Answer:

Divide both sides by 2 Step-by-step explanation:We have the equation 2(x + 14) = 40We divide both sides by 22(x + 14) = 40/2x + 14 = 20x = 20 - 14x = 6

Step-by-step explanation:

The equation of the parabola is y = ( 4/3 ) ( x + 1 )² + 4

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of parabola be represented as A

Now , the value of A is

Let the vertex of the parabola be V

Now , the coordinates of P is V ( -1 , 4 )

and , equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

On simplifying , we get

y = a ( x - ( - 1 ) ) + 4

y = a ( x + 1 )² + 4

Now , the point on the parabola is given by P ( 2 , 16 )

On simplifying , we get

when x = 2 and y = 16

16 = a ( 2 + 1 )² + 4

16 = 9a + 4

12 = 9a

a = 4/3

So , the the value of a is 4/3

And , the equation is g ( x ) = ( 4/3 ) ( x + 1 )² + 4

Therefore , the value of g ( x ) is ( 4/3 ) ( x + 1 )² + 4

Hence , the equation of parabola is g ( x ) = ( 4/3 ) ( x + 1 )² + 4

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ9

Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:

10 because there are 4 cups in each quart.

The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

To know more about volume follow

https://brainly.com/question/22716418

#SPJ1

Answer:

(x+2)^2 or (x+2)(x+2)

Step-by-step explanation:

x^2+4x+4 simplified is (x+2)^2 or (x+2)(x+2)

Answer:

(x+2)^2 or (x+2)(x+2)

Step-by-step explanation:

Brainly pls :D I tried for a while just to do this

Answer:

24 cm

Step-by-step explanation:

We have the following:

shortest side: 10 cm

longest side: x

diagonal: x + 2

we can calculate the diagonal by means of pythagoras and it would be:

(x + 2) ^ 2 = 10 ^ 2 + x ^ 2

We solve this and we are left with:

x ^ 2 + 4 * x + 2 ^ 2 = 100 + x ^ 2

4 * x +4 = 100

x = (100-4) / 4

x = 24

which means that the longest side is 24 cm.

Answer:

194 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

1    x4 – 6x2 – 27 = 0

4    6(2x + 4)2 = (2x + 4) + 2

5   6x4 = -x2 + 5

Step-by-step explanation:

The probability that a high school junior will take less than 135 minutes to complete the SAT exam is 0.5745.

To determine the probability, the standard normal distribution table or calculator is utilized.

The standard normal distribution table, also known as the z-score table, is used to find the probability of a certain z-score or a range of z-scores.

The SAT exam's time is normally distributed, with a mean of 150 minutes and a standard deviation of 25 minutes.The formula for z-score is as follows:

z=(x-μ)/σ

Where x is the time to complete the SAT exam, μ is the mean of the time to complete the SAT exam, and σ is the standard deviation of the time to complete the SAT exam.

To calculate the z-score, the time of 135 minutes is substituted for x, the mean μ of 150 minutes is substituted for μ, and the standard deviation σ of 25 minutes is substituted for σ.The computation is as follows:

z=(135-150)/25= -0.60

Using the standard normal distribution table, the probability of getting a z-score of -0.60 is 0.2743.

To obtain the probability that a high school junior will complete the SAT exam in less than 135 minutes, the area under the standard normal curve to the left of z = -0.60 must be computed. Because the normal curve is symmetrical, the region to the right of z = -0.60 is equal to 1 - 0.2743 = 0.7257.

Finally, to obtain the region to the left of z = -0.60, 0.7257 must be subtracted from 1:1 - 0.7257 = 0.2743

for such more question on probability

https://brainly.com/question/24756209

#SPJ11

To construct a 95% confidence interval for the mean weight of bags is

x(bar) -  \(z\frac{s}{\sqrt{n} }\)

Confidence interval =  x(bar) -  \(z\frac{s}{\sqrt{n} }\)

x(bar) is the sample mean weight of bags.

s is the sample standard deviation of weights.

n is the sample size.

z is the critical value corresponding to the desired confidence level. For a 95% confidence level, the critical value z is approximately 1.96.

The sample follows a normal distribution or the sample size is large enough to rely on the Central Limit Theorem. If the sample size is small and the data is not normally distributed, you may need to use alternative methods, such as bootstrapping or non-parametric techniques, to construct the confidence interval.

To know more about confidence interval click here :

https://brainly.com/question/29680703

#SPJ4

Where's the figure?

∝ Sidhdi

As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

To know more about Hypothesis here.

https://brainly.com/question/29576929

#SPJ4

The required probability that the hand is a full house is; 0.00144 or 0.144%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Consider the provided information we have Five cards are drawn from an ordinary deck of 52 playing cards.

Thus full house is a hand that consists of two of one kind and three of another kind.

The total number of ways to draw 5 cards are 78 was.

Now we want two of one kind and three of another.

Therefore, the hand has the pattern AAABB, where A and B are from distinct kinds. The number of such hands are:

3744/25989611

= 0.00144

Hence, the required probability is 0.00144 or 0.144%.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ1

Answer:

2.5x+50

Step-by-step explanation:

The length of segment PM would be 12 units

I won't proceed based on your circle's association with any specific segments; instead, I'll use the illustration below.

We can determine QM = 15, SM = 10, and RM = 18 from the image. We apply the formula for determining segment lengths when there are two chords in a circle to determine the length of segment PM.

Our equation QM = (SM)(RM) (PM)

We now enter the information and resolve: (10)(18) = (15)(x) (x)

(10)(18) = 180

(15)(x) = 15x

180 = 15x → 180 ÷ 15 = 12 & 15x ÷ 15 = x

x = 12

Know more about Segment at:

https://brainly.com/question/22599425

#SPJ4

I assume you're talking about two square matrices,

\(A=\begin{bmatrix}x^2&2\\x&1\end{bmatrix}\)

and

\(B=\begin{bmatrix}x&2x\\3x&4x\end{bmatrix}\)

If A is singular, then its determinant is 0:

\(\det A=x^2-2x=x(x-2)=0\implies x=0\text{ or }x=2\)

B is not singular, so its determinant is not 0:

\(\det B=4x^2-6x^2=-2x^2\neq0\)

This tells you x ≠ 0, so x = 2.

Hello! :)

The slope of this line is 0.

Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.

Here, we move 0 units up, so the rise is 0.

No matter what the run is, the slope is 0 anyway.

Hope it helps you!

If you have any questions, feel free to ask! (:

~An excited gal

\(SparklingFlower :)\)

Answer:

its 0 sowe

Step-by-step explanation:

When you add/subtract polynomials, you have to perform the said operation between like terms. Like terms are those that have the same variable (letter) and the same exponents, for example, 2x and 8x are like terms because they have the same variable or 9y²z and y²z, these are also like terms, they have the same variables y and z and both variables have the same exponents.

If both terms are like terms, then you have to perform the addition/subtraction between the coefficients of each term. (Remember: The coefficients are the values that multiply the variables.)

For the given addition

Both terms have the same variables and exponents "m³n", to add them you have to add their coefficients, which means that you have to add 5 and 29:

Answer: You can buy eight cd for $120.

One cd is $15

two cd is $30

three cd is $45

four cd is $ 60

five cd is $ 75

six cd is $90

seven cd is $105

eight cd is $120

Step-by-step explanation:

you can check by adding 60 plus 60 equal 120.

you can multiply 15 times 8 equal 120.

you can divide 120 by 15 equal 8.