What is the half-life of a material which starts with 10 grams
and after 2 days you are down to 2.5 grams?
a) 5
b) 2
c) 1
d) 1.5

The rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters

The formula for volume of a cube is given as;

Volume = a³

Where:

a = length of its side

From the information given, we have;

V = s³

Where s = 15 centimeters

Substitute the value into the formula

v = (15)³

v = 3375 centimeters

Thus, the rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters

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Answer:

B

Step-by-step explanation:

The formula for the volume of a cylinder is \(\pi r^2 h\), where r is the radius of the base and h is the height of the cylinder.

\(\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3\)

Therefore, the correct answer is choice B. Hope this helps!

Answer:

I believe it is b

Answer: HISFAVORITESUBJECTS

Step-by-step explanation:

Answer:

C ≈ 54

Step-by-step explanation:

The circumference (C) is calculated as

C = πd ( d is the diameter )

Here d = 18 , then

C = π × 18 ≈ 3 × 18 = 54

Answer:

Step-by-step explanation:

average of 112 with a standard deviation of 3.3. Calculate a 90% confidence interval for the average systolic blood pressure of 20-year old women athletes.

From the above question

Number of samples = 23 , less than 30,

Hence, we find confidence interval using t score

Confidence Interval using t score =

Mean + t score × standard deviation/√n

Step 1

We find the degree of freedom

= N - 1

= 23 - 1

= 22

The solution for the variable w in the equation s = a + lw is w = (s - a)/l.

Given the equation in the question:

s = a + lw

w = ?

To solve the equation s = a + lw for the variable w, we have to isolate w on one side of the equation.

s = a + lw

Subtract a from both sides:

s - a = a + lw - a

s - a = a - a + lw

s - a = lw

Reorder the equation:

lw = s - a

Divide both sides by the coefficient of w:

lw/l = ( s - a )/l

Simplifying, we get:

w = ( s - a )/l

Therefore, the variable w equals ( s - a )/l.

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The sample probability is Undercoverage.

According to the data, 2% of families have no telephone, 14% have just cell phones, and another 25% have unregistered phone numbers. Because the facility is only available to a segment of the population and not the entire population, it falls within coverage.

Undercoverage happens when a component of the sample population is not represented on the surveyed frame and hence has no possibility of being selected in the sample population; that is, the element has a zero probability of being selected.

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Answer:

375

Step-by-step explanation:

Because if 20 divided by 100 is 5 then you multiply the 755 by 5 and you get your answer.

Answer:

375 minuets

Step-by-step explanation:

75 times 5 is 375 and you get five because 20 times 5 is 100

Conditional probability can be calculated by using Bayes' theorem, P(A|B) = P(B|A) × P(A) / P(B)

To find the conditional probability, we need to know the probability of two events: the probability of the event we're interested in, and the probability of the condition. Then, we can use Bayes' theorem to calculate the conditional probability.

Bayes' theorem states that the probability of an event A given that event B has occurred is equal to the probability of B given A, multiplied by the probability of A, divided by the probability of B:

P(A|B) = P(B|A) × P(A) / P(B)

The steps to find the conditional probability:

1) Identify the events A and B.

2) Determine the probabilities of A and B.

3) Determine the conditional probability P(B|A)

4) Substitute the values into Bayes' theorem to find P(A|B)

5) Interpret the result.

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Step-by-step explanation:

4. 2/ 15 x 45/1 = 90/15

=6inches

( 15 is the total of the ratio)

5. Sum of angles in a triangle in 180

Total of the ratio is 17+16+12 = 45

Largest angle is 17/ 45 x180/1 = 68 degree

Ans 68degrees

6. 2x + 7/ 3x - 4 = 11/2

Cross multiply

2( 2x + 7) = 11(3x - 4)

Expand the equation

4x +14 = 33x - 44

Subract 4x from both sides

14 = 29x - 44

Add 44 to both sides

58 =29x

Divide both sides by 29

X =2

Alessia spent $5,408 on entertainment in 2021.

To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.

Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.

Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:

Rent = 35% × $26,000

= $9,100

The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.

To determine the ratio's total parts, we sum the individual parts:

Total parts = 6 + 11 + 8 = 25

Next, we calculate the value of one part of the ratio:

One part = ($26,000 - $9,100) / 25

= $16,900 / 25

= $676

Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:

Entertainment expenditure = 8 × $676

= $5,408

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Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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56 sets of pictures she can post on her wall

It is given that alyssa's favorite tennis team has 8 players on them. She has taken a picture with every single athlete individually and wants to post some of the pictures on her wall. But she only wants to post 3 pictures on her wall.

For this we hve to use factorials. In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. The factorial of n also equals the product of n with the next smaller factorial: For example, The value of 0! is 1, according to the convention for an empty product.

So it will be - \(\frac{8!}{3!(8-3)!}\) as this is the formula for combination

This will be 56.

Thus, 56 sets of pictures she can post on her wall

Answer:

Step-by-step explanation:

$345 - $75 = $270 more needed

$270 × (1 month)/($30) = 9 months

The probability to get a 3 or 4 in the third toss and 6 in the fourth toss is 1/18.

The sample space for a six-sided die is

{1, 2, 3, 4, 5, 6}

Hence the total number of possibilities = 6

The rolling of a die is IID that is Independently and Identically distributed.

Hence,

the result of one toss will not affect the result of the successive tosses.

Probability

= n(E)/n

= no of favorable outcomes for any event /total no. of outcomes

Here,

n = 6

Let A be the event of getting a 3 or 4 in the third toss

Let B be the event of getting 6 on the fourth toss

E(A) = {3,4}

n(A) = 2

Hence,

P(A) = 2/6

= 1/3

B = {6}

n(B) = 1

P(B) = 1/6

Since these are IID,

P(A and B) = P(A) X (B) [Property of independent events]

Hence P(A∩B) = 1/3 X 1/6

= 1/18

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Answer:

The perimeter of the tabletop is given by the formula P=4s, where s is the length of one side of the square. For this coffee table, we need to calculate the length of one side first.

The area of a square is given by A=s^2, or s^2 = 64x^2 - 48x + 9.

Now, let's solve for s: s^2 = 64x^2 - 48x + 9 → s =sqrt(64x^2 - 48x + 9).

Finally, we can calculate the perimeter: P=4s = 4sqrt (64x^2 - 48x + 9) = 16x - 9.

Therefore, the answer is B. 16x-9.

Answer:

\(9(7 + 9)\)

Step-by-step explanation:

To factor an expression you have to first find the highest common factor (HCF) of the numbers in the expression. You divide them by their HCF, bracket it and place the HCF outside the bracket.

\(63 + 81 = \\ 9(\frac{63}{9} + \frac{81}{9}) = \\ 9(7 + 9)\)

To check if it is factored properly you can do the opposite of what you just did by clearing the bracket.

9 (7 + 9)

(9 x 7) + (9 x 9)

= 63 + 81

Answer:

615.8

Step-by-step explanation:

Circle area = π * r² = π * 196 [mcm²] ≈ 615.8 [cm²]

Answer:

Area is 616 square centimeters.

Step-by-step explanation:

Area of Circle

\(A = \pi r^2\)

A ... area

r ... radius

Given

r = 14 cm

Use formula.

\(A = \pi r^2\)

\(A = \pi (14 \text{ cm})^2\)

\(A = \pi (196) \text{ cm}^2\)

Use \(\frac{22}{7}\) for \(\pi\), since they tell you to use that in instructions.

\(A = (\frac{22}{7}) (196) \text{ cm}^2\)

\(A = 616 \text{ cm}^2\)

Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Answer: HI = 5.3 cm

Let HI = x

GH = 2cm

m< H = 68 degrees

to find HI, we will need to apply the SOH CAH TOA RULE

HI = hypotenus

GH = adjacent

Cos 68 = adjacent / hypotenus

Cos 68 = 2 / x

Cross multiply

2 = x * cos 68

cos 68 = 0.3746

2 = x * 0.3746

Isolate x

x = 2/0.3746

x = 5.3cm

Therefore, HI is 5.3cm

Answer:

Bracelets are the same price as comic books

Step-by-step explanation:

Answer:

Mean = 10.83

Median = 13

Step-By-Step Explanation:

Mean

(14, 5, 5, 13, 13, 15) ÷ 6 = 10.8333333

Shortened to 10.83

Median

The middle of 5, 5, 13, 13, 14, 15

(13+13)/2 = 13

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Answer:Flip the inequality sign when you multiply or divide both sides of an inequality by a negative number. You also often need to flip the inequality sign when solving inequalities with absolute values

Step-by-step explanation:Hope this helped u kind sir or ma'am also may i plz have brainlist?

Answer:

The only true statement is:

(B) Vertices at (0, 5)

Step-by-step explanation:

We have the equation:

9*x^2 - 25*y^2 = 225

The graph of this equation can be seen below.

In the graph we can see:

We have two vertices, one at (0, 5) and another at (0, - 5)

Then option B) "Vertices at (0, 5)" is true.

Also in the graph you can see that we have (kinda linear) asymptotes at:

y = x + 5

y = -x + 5

y = x - 5

y = -x - 5

The two options for the asymptotes are:

(C) Asymptotes at y = + x

(D) Asymptotes at y = x 3​

So both of these are incorrect.

Answer:

second option

Step-by-step explanation:

Pythagoras for right-angled triangles :

c² = a² + b²

c is the Hypotenuse, the line opposite of the 90 degree angle.

a and b are the other 2 sides.

the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.

so, we have (-2, -3) and (3, 2)

distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =

= (-5)² + (-5)² = 25 + 25 = 2×25 = 50

distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)

The matrix is not diagonalizable over C for k = 2.

For a matrix to be diagonalizable, it must have a complete set of linearly independent eigenvectors. In other words, if we can find a set of eigenvectors that spans the entire vector space, then the matrix is diagonalizable. To determine the values of k for which the given matrix is not diagonalizable over the complex field (C), we need to find when the matrix fails to have a complete set of linearly independent eigenvectors.

Let's denote the given matrix as A. We need to find the eigenvalues and eigenvectors of A. The characteristic equation can be found by subtracting λ (the eigenvalue) times the identity matrix from A and taking the determinant:

|1-λ 0 0 |

|0 1-λ 0 |

|k-6 -k+7 1-λ| = 0.

Expanding this determinant equation gives us a polynomial equation in terms of λ. Solving this equation will give us the eigenvalues. Let's denote the eigenvalues as λ1, λ2, and λ3.

Next, we need to find the eigenvectors corresponding to each eigenvalue. For each eigenvalue λi, we solve the system of equations (A - λiI)x = 0, where x represents the eigenvector. The eigenvectors are obtained by finding the null space of the matrix (A - λiI).

If we find that there are fewer linearly independent eigenvectors than the dimension of the matrix, then the matrix is not diagonalizable. In this case, we will consider the value of k for which this occurs.

By going through the above steps, it is determined that for k = 2, the matrix is not diagonalizable over C. This means that there are not enough linearly independent eigenvectors for the given matrix when k equals 2.

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It is a pictorial representation that shows a logical relations between sets.

The centre portion of the set is the intersection between the two sets. This will represent your experience from the start until this day. ​

The other portion of school starts will represent expectation while for school emds will represents your experience as shown

Answer:

22,100,000

Step-by-step explanation:

221,000 times 100

Answer: 221,000%

Step-by-step explanation:

Answer:

Problem formulation is improper.

Step-by-step explanation:

A linear programming model is a mathematical method used for solving linear problems through the use of decision variables and objective functions.

In linear programming models of real problems, the occurrence of an unbounded solution means that the problem formulation is improper.

Hence, if the formulation of a linear real problem is not correct or improper, it would result in an unbounded solution.

This simply means that, the objective function which primarily defines the quantity to be maximized or minimized in a linear programming model was formulated improperly.

Hence, for a bounded solution in a linear programming model, the objective function and the decision variable should be proportional.

In a broader view, the conditions necessary for a linear programming model with bounded solutions are;

1. It should be a single objective either to minimize or maximize.

2. It should have continuous variables.

3. Both objective and constraints must be linear.

4. The value of the decision variable must be positive.