What is the unit rate for 64 books on 4 shelves

2100 divided by 10.50 = 200 hours

200 hours divided by 8 hour days = 25 days

Answer:

A) 25 days

B) I got 4.6 so try 4 and 5 and 4.6

Step-by-step explanation:

A) 8x10.50=84

2100/84=25 days

B) 84x5=450

2100/450=4.6

Answer:

its divided into sixths

Based on the speed of the ship, after 11 hours, it would have travelled a distance of 264 nautical miles.

First find the speed of the ship:

= Distance / Time

= 72 / 3

= 24 nautical miles per hour

The distance in 11 hours is therefore:

= Time x Speed

= 11 x 24

= 264 nautical miles.

In conclusion, the ship would have travelled 264 nautical miles.

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Therefore, the probability that Team A wins the series given that they have already won the first game is 0.36 or 36%.

To calculate the probability that Team A wins the series given that they have already won the first game, we can consider the different possible scenarios for the remaining games. For Team A to win the series, they need to win at least one of the next two games. Let's analyze the possible outcomes:

Team A wins the second game and wins the series. Team A loses the second game but wins the third game and wins the series. The probability of Team A winning the second game is 0.2, and the probability of Team A winning the third game is also 0.2. Using these probabilities, we can calculate the probability of each scenario:

Scenario 1:

P(A wins second game and wins series) = P(A wins second game)

= 0.2

Scenario 2:

P(A loses second game but wins third game and wins series) = P(A loses second game) * P(A wins third game)

= (1 - 0.2) * 0.2

= 0.8 * 0.2

= 0.16

Now, we can add up the probabilities of both scenarios to find the overall probability that Team A wins the series:

P(A wins series | A wins first game) = P(A wins second game and wins series) + P(A loses second game but wins third game and wins series)

= 0.2 + 0.16

= 0.36

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Answer:

-4

Step-by-step explanation:

a+b+c

Let a = -6, b = -1  c=3

-6+-1+3

-7+3

-4

Answer:

38 cm²

Step-by-step explanation:

8/13 x 3/1 = 24/13

24 - 13 =11

So, simplified answer is 1 11/13 or 24/13

Hope this helps!

The calculated set of observations in this scenario given where adhesion assay is conducted by measuring absorbance at a590 is 7.

To calculate this question we need to possess the concept of statistics and probability and use the principles to construct a formula that will help us find the number of observations.

To find a 95% confidence interval for the mean adhesion we have to implement the formula

x ± zα/2*σ/\(\sqrt{n}\)

here,

x = mean

σ = standard deviation for the population

n = sample size

zα = z-score ( 95% confidence)

staging the values we get,

= (2.69 + 5.76 + 1.62 + 4.12)/5± 1.96*0.66/\(\sqrt{5}\)

= 3.37±0.58

then,

for 95% confidence adhesion mean = (2.79 , 3.95) dyne-cm2

now if the scientists advise the confidence interval 0.55 dyne-cm2

then,

n = (zα/2)*σ/E)²

here,

E = max width

staging the values

n = (1.96*0.66/0.55)²

≈ 7

The calculated set of observations in this scenario given where adhesion assay is conducted by measuring absorbance at a590 is 7.

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Answer:

$3.23

Step-by-step explanation:

1.71 ÷ 18 = 0.095 = 9.5%

9.5% × 34 = 3.23

Answer:

\(MN = \sqrt{14\)

Step-by-step explanation:

Given

\(NO = 12\)

\(OP = 2.5\)

\(OQ = 4.5\)

Required

Find MN

First, we calculate QP using Pythagoras theorem

\(OQ^2 = OP^2 + QP^2\)

\(4.5^2 = 2.5^2 + QP^2\)

\(20.25 = 6.25 + QP^2\)

Collect like terms

\(QP^2 = 20.25 - 6.25\)

\(QP^2 = 14\)

Take square roots

\(QP = \sqrt{14\)

To solve MN, we have:

\(MN = OP\)

So:

\(MN = \sqrt{14\)

Blair received 15 bars as the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients.

The weighted average is calculated by adding up all the variables, multiplying by their weight, and dividing by the sum of the weights. Instead of treating each item equally, a weighted average or mean multiplies each item being averaged by a number based on its relative importance. The weights or weightings correspond to including that many comparable items of the same value in the average.

Here,

The average weight of the bars given to Brennan (light), Blair, and Maya was higher than the average weight of the bars given to the other two recipients (heavy).

Let X represent the combined weight of all the bars.

The weight of the bars Brennan was given was equal to 45% of X, or 0.45X.

Maya was given bars that weighed 26% of X, or 0.26X.

The weight of the bars Claire was given was the rest, or 29% of X, or 0.29X.

Brennan received bars with an average weight of 0.45 x/ 24.

The weight of the Maya-received bars, on average, is 0.26X/13.

Similar to the previous example, if Blair receives B bars, then their average weight is 0.29X/B.

Similarly, the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients. So blair received 15 bars.

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Given :

On a map's coordinate grid, Milton City is located at (-4,-3) and McDanielsville is located at(4, -9).

To Find :

How long is a train's route as the train travels along a straight line from Milton City to McDanielsville .

Solution :

We need to find the distance between points (-4,-3) and (4,-9) .

Now , distance between two points (x,y) and (a,b) is given by :

\(D=\sqrt{(x-a)^2+(y-b)^2}\)

For points (-4,-3) and (4,-9) distance between them is :

\(D=\sqrt{(4-(-4))^2+(-9-(-3))^2}\\\\D=\sqrt{8^2+6^2}\\\\D=10 \ units\)

Therefore , distance travelled by train is 10 units .

Hence , this is the required solution .

Answer:

19,188

Step-by-step explanation:

hope this helps ;)

11. The estimated value of the baseball card in the year of high school graduation can be calculated using the compound interest formula as $30 * (1 + 0.02)^(2025 - 2015).

12. The exponential decay model for the car's value is given by V = $16,000 * (1 - 0.08)^t, where V is the value of the car after t years.

13. Classification of the given equations: y = 18(0.16) represents exponential decay, y = 24(1.8) represents exponential growth, and y = 13(1/2) represents exponential decay.

11. To estimate the value of the baseball card in the year of high school graduation (2025), we can use the compound interest formula for continuous compounding. The formula is V = P * (1 + r/n)^(nt), where V is the future value, P is the initial principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. In this case, the interest rate is 2% (or 0.02), and the card was purchased in 2015. So, the estimated value would be $30 * (1 + 0.02)^(2025 - 2015).

12. For the car's value, the situation represents exponential decay since the car depreciates by 8% each year. The exponential decay model is given by V = P * (1 - r)^t, where V is the value after t years, P is the initial value, and r is the decay rate. In this case, the initial value is $16,000, and the decay rate is 8% (or 0.08). To estimate the value of the car in 6 years, we can substitute t = 6 into the decay model and calculate the value.

13. The classification of exponential growth or decay is determined by the value of the base in the exponential equation. For y = 18(0.16), the base is less than 1, indicating exponential decay. For y = 24(1.8), the base is greater than 1, indicating exponential growth. Finally, for y = 13(1/2), the base is less than 1, indicating exponential decay.

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EXPLANATION

Given the polynomials in the problem, we can assevere that:

Formula of Perfect Square Trinomial:

(a+b)^2 = a^2 + 2ab + b^2

Difference of Squares formula:

(a^2 - b^2)

Now, we need to find what formula match better.

y^2 + 12y - 36 -----> Neither

The area of the contact paper required to cover the entire tabletop is 12.25 square feet.

Jamie has a tabletop that he wants to cover with contact paper. The length, width, and height of the tabletop are 3.5 feet, 3.5 feet, and 0.25 feet, respectively. We need to calculate the area of the contact paper required to cover the entire tabletop.

Let the area of the tabletop be represented by the variable "A". We need to calculate the area of only the top surface of the table. The table is rectangular in shape. The area of the tabletop must be the product of the length and the width of the table.

A = 3.5×3.5

A = 12.25

Hence, the area of the tabletop is 12.25 square feet.

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Answer: D

Isolate the variable by dividing each side by factors that don't contain the variable. This will give you the answer below:

X = 2 = Answer D

Answer:

D. 2

Step-by-step explanation:

One way by solving the equality:

\(////// 9x - 10 = 3x + 2////// 9x - 10 + 10 = 3x +2 + 10////// 9x - 3x = 3x + 12 - 3x////// 6x = 12///// 6x/6 = 12/6x = 2\)

I can't put each on a line (the site isn't allowing it), so the //// means it goes to another line.

Another way is by replacing x by each of the possible solutions and see which makes the equality true.

Answer:

\(\frac{\sqrt{61} }{\sqrt{97} }\)

Step-by-step explanation:

Sin(y) = opposite over hypotenuse

opposite side is \(\sqrt{61}\)

hypotenuse is \(\sqrt{97}\)

Answer:

yes 4x5 is 4 rows of 5

Step-by-step explanation: brainiest

please

Answer is true 4×5 means 4 rows of 5

Answer: Tissue

Step-by-step explanation:

They work together and there are in similar group.

After using 586 nickels to buy music and then replenishing his collection with an additional 36 nickels, Robert now has 1,700 nickels.

Robert initially had 18 jars with 125 nickels in each jar, which gives us a total of 18 x 125 = 2,250 nickels. He then used 586 of these nickels to buy new music for his iPod.

Therefore, the number of nickels that he had left was 2,250 - 586 = 1,664 nickels.

However, Robert was able to collect an additional 36 nickels the following week to help replenish his collection.

So, we need to add these 36 nickels to the 1,664 nickels that he had left.

This gives us a total of 1,664 + 36 = 1,700 nickels that Robert now has in his collection.

In conclusion, after using 586 nickels to buy music and then replenishing his collection with an additional 36 nickels, Robert now has 1,700 nickels.

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Answer:

Domain = (-infinity, -5) U (-5,3) U (3, +infinity)

Step-by-step explanation:

Step 1: Write the two functions

\(f(x) = 3 - x^{2} \\g(x) = x^{2} + 2x - 15\)

Step 2: Write the expression for a function f/g

\(\frac{f}{g} = \frac{3-x^{2} }{x^{2} + 2x - 15}\)

Step 3: Find the domain of the function f/g

Domain of a function are set of input values for which the function is real and defined

First equate the denominator to zero.

\(x^{2} +2x - 15 = 0\\factor it\\x^{2} + 5x - 3x - 15 = 0\\x(x+5) - 3(x + 5) = 0\\(x - 3)(x + 5) = 0\\x = 3 0r -5\)

\(domain = (-infinity, -5) U (-5,3) U (3, +infinity)\)

Answer:

D

Step-by-step explanation:

First find h(3)

2(3)-2= 4

then find g(4)

4³-5= 59

The inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

What is inequality?

An inequality is a mathematical statement that compares two expressions and expresses the relationship between them. It is represented by a symbol such as ">", "<", "≥", or "≤" and can be thought of as a generalization of an equation.

First, we need to find Isaac's monthly gross income. Since he has a bi-weekly gross income of $1,925, we can calculate his monthly gross income as follows:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

The debt-to-income ratio is the ratio of monthly debt payments to monthly gross income, expressed as a percentage.

We want to find the minimum amount by which Isaac needs to reduce his monthly debt payments to have a debt-to-income ratio of 35%.

So we can set up the following inequality:

Minimum monthly debt payments / Monthly gross income ≤ 35% / 100%

Substituting the given values, we get:

$3,915 / $4,158.33 ≤ 0.35

Simplifying this inequality, we get:

0.9407 ≤ 0.35

This inequality is not true, so we made an error in our calculations. Let's check the calculation of monthly gross income. We should have:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

This calculation is correct. The problem is that the minimum monthly debt payments of $3,915 are already higher than what is allowed by the debt-to-income ratio of 35%. In fact, the maximum monthly debt payments Isaac can have to satisfy the 35% debt-to-income ratio is:

Maximum monthly debt payments = Monthly gross income x 35% = $4,158.33 x 35% = $1,454.92

Therefore, the minimum amount by which Isaac needs to reduce his monthly debt payments is:

$3,915 - $1,454.92 = $2,460.08

Rounding this to two decimal places, we get $2,460.09, which is closest to the fourth option:

x ≥ $2,455.21

Hence,  the inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

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Answer:

The last one is right one

Answer:

a.

Step-by-step explanation:

Answer: Lakesha gave away eighth tenths (8/10) of her cookies

Step-by-step explanation:

portion/Fraction of cookies given to Bailey =three tenths =3/10

portion/Fraction  of cookies given to Helen =Five  tenths =5/10

fraction of cookies  given away by  Lakesha= 3/10 +5/10=8/10 =eighth tenths