Mr. Thaxton has two daughters. The sum of their ages is twenty-one. The product of their ages is one hundred ten. How old is Mr. Thaxton's youngest daughter?A.9B.10C.11D.12

a. The number of red roses left t hours after the store opens \(R(t) = 400/2^{t/2}\)    

b. The number of boxes of chocolate left t hours C(t) = 200 - 0.15t

c. One possible solution is t ≈ 7.546 hours after the store opens.

d. there are 194 boxes of chocolates left.

e. you need to arrive at the store no later than 7.504 hours after it opens.

a. The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.:

\(R(t) = 400/2^{t/2}\)

b. Let C(t) be the quantity of boxes of chocolate left t hours after the store opens. At first, there are 200 boxes, of which 15% are purchased every hour. We can therefore write:

C(t) = 200 - 0.15t

c. We must solve the equation R(t) = C(t) in order to determine the time at which the number of boxes of chocolates and the number of roses are equal. We obtain: by substituting the formulas we discovered in parts a and b:

\(400/2^{t/2} = 200 - 0.15t\)

Simplifying this equation, we get:

\(2^{t/2 + 1} + 0.15t - 400 = 0\)

We can solve this equation numerically, using a calculator or a computer program. One possible solution is t ≈ 7.546 hours after the store opens.

d. At 12:30 in the early evening, which is 3.5 hours after the store opens, we can utilize the recipe we tracked down to some extent b to work out the quantity of boxes of chocolates left:

C(3.5) = 200 - 0.15(3.5) = 194.25

We ought to adjust this solution to appear to be legit with regards to the issue. Since we cannot have a fraction of a box, we can round to the nearest integer and state that there are 194 chocolate boxes remaining.

e. To buy 36 red roses, we need to solve the equation R(t) = 36. Substituting the formula we found in part a, we get:

\(400/2^{t/2}= 36\)

Simplifying this equation, we get:

2^(t/2) ≈ 11.111

Taking the logarithm of both sides, we get:

t/2 ≈ log2(11.111)

t ≈ 2 log2(11.111)

Using a calculator, we get:

t ≈ 7.504 hours after the store opens.

Therefore, you must arrive at the store no later than 7.504 hours after it opens in order to purchase 36 red roses.

know more about logarithm visit:

https://brainly.com/question/30085872

#SPJ1

Answer:

The answer is 3k^2m^6/4

Answer:

8000 and 12,000

Step-by-step explanation:

Let the amount of money deposited in the 3% account be known as "x"

The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)

3% Interest -> 0.03 *

6% Interest  -> 0.06 *

0.03 * x + 0.06 * (20,000 - x) = 960

0.03x + 1200 - 0.06x = 960

-0.03x = -240

x = 8000

20,000 - x

20,000 - 8000 = 12000

The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

To know more about mean:

https://brainly.com/question/28108712

#SPJ1

By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9

Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".

So, if we  want to find the value of y when we have x = -3, then:

Following these steps, you should be able to see that, when x = -3, the value of y is -9

So we conclude that the y-value for x = -3, is y = -9

If you want to learn more about graphs.

https://brainly.com/question/14323743

#SPJ1

Answer:

  -24

Step-by-step explanation:

\(\sqrt{144}-(16-5\times 2)^2=\sqrt{144}-(16-10)^2=\sqrt{144}-6^2\\\\=12-36=\boxed{-24}\)

Your calculator can be helpful for this.

Answer:

x = 2

Step-by-step explanation:

First, subtract 3 from both sides.

2x + 3 = 7

     - 3    -3

2x       = 4

Then, divide both sides by 2.

2x / 2 = 4 / 2

x = 2

Answer:

the solution for x is x = 2

Step-by-step explanation:

To solve for x, we need to get x by itself on one side of the equation. First, we can subtract 3 from both sides to get:

2x + 3 - 3 = 7 - 3

Simplifying the left side gives us:

2x = 4

Then, we can divide both sides by 2 to get:

2x / 2 = 4 / 2

Simplifying the left side gives us:

x = 2

Answer:

I think the amswer is C not 100% shere

Step-by-step explanation:

Answer:

it's 86

Step-by-step explanation:

150-(2+x)^3=150-(2+2)^3

    =150-4^3

    =150-64

    =86

The value of the expression 150 - (2 + x)³, when x = 2 is, 86.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 150 - (2 + x)³, when x = 2.

This can be obtained by replacing x = 2 in the expression.

Therefore, 150 - (2 + x)³.

= 150 - (2 + 2)³.

= 150 - 4³.

= 150 - 64.

= 86.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ5

The interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

In this question we have an expression that combines polynomic and exponential expression, whose variable x cannot be cleared by analytical approaches, but by numerical and graphical methods. Herein we decide to find the interval by graphical methods, using a graphing tool:

First, write the function in explicit form (f(x) = 3 · x - eˣ). Second, find the two points such that the function goes through the x-axis (horizontal axis). Third, define the set of possible x-values by interval notation such that y > 0.

Then, the points of the function that are on the x-axis are (x₁, y₁) = (0.6191, 0) and (x₂, y₂) = (1.5121, 0). Then, the interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

To learn more on functions: https://brainly.com/question/12431044

#SPJ1

Answer:

20

Step-by-step explanation:

You would divide 35 by 4/7 and you would get 20.

Jaden is 35 inches tall. He is 4/7 as tall as his brother, so his brother is 61 inches taller than him .

Given:

Represent Jaden with j and his brother with B.

The first statement implies that:

\(J = 35\) \(in\)

The second statement implies that:

\(J = \frac{4}{7}\)\(B\)

Required

Find B

\(J = \frac{4}{7}B\) and \(J = 35\) \(in\)

Equate both expressions:

\(J = J\)

\(\frac{4}{7} B = 35\)

Multiply both sides by \(\frac{7}{4}\)

\(\frac{7}{4} * \frac{4}{7} B = 35 * \frac{7}{4}\)

\(B= 35* \frac{7}{4}\)

\(B = \frac{35 * 7}{4}\)

\(B= \frac{245}{4}\)

\(B= 61.25 in\)

\(B = 61 in\)--- approx.

Hence, his brother is 61 inches tall.

Learn more about Inches here :

brainly.com/question/824345

#SPJ2

The prices of the box of oat cereal for each week rounded to the nearest tenth of a dollar are:

First week: $2.55

Second week: $2.50

The price of the box of oat cereal for the first week is $2.55, which is already rounded to the nearest tenth of a dollar.

The price of the box of oat cereal for the second week is $2.50, which is already rounded to the nearest tenth of a dollar.

So the prices of the box of oat cereal for each week rounded to the nearest tenth of a dollar are:

First week: $2.55

Second week: $2.50

For such more questions on Grocery cereal prices.

https://brainly.com/question/25873807

#SPJ11

Answer: 39.13 for 18 plants

Step-by-step explanation:

120/55.20= 2.17 dollars per plant

18*2.17=39.13

After 23.1 years the population of Texas will reach 32 million.

In this question, we have been given the population P (in millions) of Texas from 2001 through 2014 can be approximated by the exponential function P = 20.913 e^(0.0184t),

where t represents the year, with t = 1 corresponding to 2001.

We need to find the time period t when the population reach 32 million.

For P = 32, we need to find t.

Substitute P = 32 in given exponential function.

32 = 20.913 e^(0.0184t)

32/20.913 = e^(0.0184t)

1.53 = e^(0.0184t)

ln(1.53) = 0.0184 * t

t = 0.4253/0.0184

t = 23.11 years

Therefore, after 23.1 years the population will reach 32 million.

Learn more about the exponential function here:

https://brainly.com/question/14355665

#SPJ4

The complete question is:

The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P = 20.913e0.0184 t, where t represents the year, with t = 1 corresponding to 2001. According to this model, when will the population reach 32 million? (Source: U.S. Census Bureau)

Answer

Correct option is

A

68

Answer:

96 is the answer because vertically opposite angles are always equal

Answer:

\(\log _972 = 1.9463\)

Step-by-step explanation:

Given

\(\log_972\)

Required

Solve

Using the following laws of logarithm

\(\log _ab = \frac{\log b}{\log a}\)

We have:

\(\log _972 = \frac{\log 72}{\log 9}\)

Express 72 as 9 * 8

\(\log _972 = \frac{\log (9 * 8)}{\log 9}\)

So, we have:

\(\log _972 = \frac{\log (9) + \log(8)}{\log 9}\)

Split

\(\log _972 = \frac{\log (9)}{\log 9} + \frac{\log(8)}{\log 9}\)

\(\log _972 = 1 + \frac{\log(8)}{\log 9}\)

Express 8 and 9 as exponents

\(\log _972 = 1 + \frac{\log(2^3)}{\log 3^2}\)

This gives:

\(\log _972 = 1 + \frac{3\log 2}{2\log 3}\)

\(\log 2 = 0.3010\)

\(\log 3 = 0.4771\)

So, we have:

\(\log _972 = 1 + \frac{3*0.3010}{2*0.4771}\)

\(\log _972 = 1 + \frac{0.9030}{0.9542}\)

\(\log _972 = 1 + 0.9463\\\)

\(\log _972 = 1.9463\)

Okay, here are the steps to find the p-value:

1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)

2) The test statistic for Georgia is 1.75

3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.

4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).

5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)

6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.

7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.

So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.

Let me know if you have any other questions!

Okay, here are the steps to find the p-value:

1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)

2) The test statistic for Georgia is 1.75

3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.

4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).

5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)

6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.

7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.

So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.

Let me know if you have any other questions!

Answer:

The formula to find the area of a circle is pi times the radius squared (A = π r²).

Step-by-step explanation:

Answer:

-9/4

Step-by-step explanation:

Slope is equal to the change in y, over the change in x, or rise over run.

x, is the run

y, is the rise

You can substitute the coordinate numbers on the equation to find the slope. which is y2-y1/x2-x1

m= 17-(8)

——

2-(6)

Your answer will be -9/4 (it doesn’t matter where the negative goes, and there’s a negative because 2-6= -4)

Hope this helps.

To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.

For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:

x^2 + x - 6 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:

(x + 3)(x - 2) = 0

Setting each factor equal to zero:

x + 3 = 0 or x - 2 = 0

Solving for x in each equation:

x = -3 or x = 2

Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.

To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.

Answer:

1/2

Step-by-step explanation:

11/3 divided by 2/3

=5.5

11/3 divided by 2/3 , the quotient is 5 and remainder is 1.

The divisor is the integer that divides a given number. The resultant number is sometimes referred to as the quotient. The residual is the number that the divisor leaves after partially dividing the original integer.

Let,  first number is x and second number is y

On dividing given two number

Division=x/y

\(x/y=\frac{11/3}{2/3}\)

\(x/y=11/2\)

It is given that the quotient for dividing two numbers is 5.

Using,

Dividend = Divisor x Quotient + Remainder

Here,

Dividend =11

Divisor =2

Quotient =5

On, substituting these values to get Remainder

11=2 x 5+ Remainder

Remainder=1

Thus, remainder is 1.

Learn more about mathematical operation, here:

https://brainly.com/question/29635854

#SPJ6

Step-by-step explanation:

-5/2

-2

-1.75

-1

1/5

1.75

9/4

Mark as brainlist . kindly

The list that represents the simulation of three (random) free throws is (Option C)

502 666 346 453 524 366 387 026 704 473 775 061 350 054 771

009 621 563 762 199

The list is given as:

502666 346453 524366 387026 704473 775061 350054 771009

621563 762199

When rearranged, we have:

502 666 346 453 524 366 387 026 704 473 775 061 350 054 771

009 621 563 762 199

Hence, the list that represents the simulation of three free throws is (c) 502 666 346 453 524 366 387 026 704 473 775 061 350 054 771

009 621 563 762 199

Learn about random numbers at:

brainly.com/question/251701

#SPJ1

Given:-

A basket is filled with 8 white eggs and 10 brown eggs. Half of the white eggs are cracked. An egg is randomly selected from the basket.

To find the probability that it is a cracked.

Now we find the total number of eggs. so we get,

So the total number of eggs is 18.

So now the probability of the eggs is cracked is,

Cracked eggs is half the white egg.

So we get,

So the probability of cracked egg is,

The statement that the one with a higher coefficient of variation exhibits higher variability is true.

The coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.

If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.

To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.

The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.

The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.

Read more about random variables here:

https://brainly.com/question/14356285

#SPJ1

The number of three digit number formed are-

Repetition allowed = 125

Repetition not allowed = 60

A combination is an algebraic technique for determining the number of distinct arrangements in a set of items in which the sequence of the selection is irrelevant.

here, we have,

You can choose the items in either order in combinations. Permutations and combinations are often confused.

For the given question;

The three digit number is to be formed.

The digits are given as-  1,2,6,7,8

Case 1: Repetition allowed

The number of combination will be;

= 5×5×5

= 125

Thus, the number of three digit number formed with repetition is 125.

Case 2: Repetition not allowed

The number of combination will be;

= 5×4×3

= 60

Thus, the number of three digit number formed with without repetition is 125.

To know more about the combination, here

brainly.com/question/295961

#SPJ1

Answer:

Mean - 1.5

Median - 1.5

Step-by-step explanation:

Median = middle number

Means = all numbers added up and divided by how many are there

Answer:

Negative exponents represent very very small numbers ( ex. .0000000006)

Step-by-step explanation:

can i get brainly?