If log K = 2.5186, what is the value of K to the nearest integer?

Answer:

x=-8, y=-1

Step-by-step explanation:

i aint in middle school no more so im not sure what operation ur doing, but this is my best guess.

Answer:

domain is 1 and range is -2

Answer:

m=96

Step-by-step explanation:

\(\frac{15}{8}m-11=\frac{7}{4}m+1\\\\\frac{15}{8}m -\frac{7*2}{4*2}m=1+11\\\\\frac{15-14}{8}m=12\\\\\frac{1}{8}m=12\\\\m=12*8\\\\m=96\)

The limit of the ratio test for the series ∑[infinity] to n=1 10^n÷n! is infinity (∞).

The ratio test is used to determine the convergence or divergence of a series. It involves taking the limit of the absolute value of ratio of consecutive terms. If the limit is less than 1, the series converges. If the limit is greater than 1 or infinity (∞), the series diverges. If the limit is exactly 1, the test will be inconclusive.

In this case, we have f(n) = ∣(10^n+1)÷(10^n)∣ = ∣10∣ = 10. The limit of f(n) as n approaches infinity is 10.

Since the limit of f(n) is greater than 1, the series fails the ratio test. This means that the series ∑[infinity] to n=1 10^n÷n! diverges. The ratio test suggests that the series does not have a finite sum and continues indefinitely.

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If the alternative hypothesis states that the population mean (μ) is not equal to $12,000, the rejection region for the hypothesis test would be both tails.

This means that we reject the null hypothesis if the sample mean falls in either the left tail or the right tail of the sampling distribution.

In a two-tailed test, we are interested in detecting differences in both directions from the hypothesized value. We want to determine if the population mean is significantly different from $12,000, whether it is greater than or less than $12,000.

To conduct the hypothesis test, we set up the null hypothesis (H₀) as μ = $12,000, and the alternative hypothesis (H₁) as μ ≠ $12,000. The rejection region is determined based on the significance level (α) chosen for the test.

If the test is conducted at a significance level of α, we divide the significance level equally between the two tails of the sampling distribution. For example, if α = 0.05, each tail would have an area of 0.025, resulting in a rejection region in both tails.

When we calculate the test statistic and compare it to the critical value(s) from the appropriate distribution, we reject the null hypothesis if the test statistic falls in either tail of the distribution.

Therefore, the correct answer is C) Both tails.

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Answer:

7.5

Step-by-step explanation:

The values 15ft, 13ft and x are the sides of a right triangle;

According to pythagoras theorem;

15² = 13²+x²

x² = 15² - 13²

x² = 225 -169

x² = 56

x = √56

x = 7.48

Hence the value of x to the nearest tenth is 7.5 to the nearest tenth

The volume of one fish food cubes is: 1/64 ft³

Using the volume formula, the volume of the shipping box is: 15/4 × 3 × 13/4 = 585/16 ft³

The number of fish food cubes that can be packed in the shipping box is: 2,340 fish food cubes.

The volume of a box = length × width × height

A cube has equal side lengths, therefore, the volume of a cube = (side length)³ = side length × side length × side length.

We are given that the fish food cubes have side lengths of 1/4 ft. Therefore:

Volume of fish food cubes = 1/4 × 1/4 × 1/4

Volume of fish food cubes = (1 × 1 × 1)/(4 × 4 × 4)

Volume of fish food cubes = 1/64 ft³

Using the volume formula, we are given the parameters of the box as:

Length (l) = 3¾ = 15/4 ft

Width (w) = 3 ft

Height (h) = 3¼ = 13/4 ft

Therefore,

Volume of shipping box = 15/4 × 3 × 13/4

Volume of shipping box = (15 × 3 × 13)/(4 × 4) = 585/16 ft³

The number of fish food cubes that can be packed in the shipping box = volume of shipping box/volume of one fish food cube

= 585/16 ÷ 1/64

= 585/16 × 64/1

= (585 × 64)/(16 × 1)

= 37,440/16

= 2,340 fish food cubes.

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Answer:

how much protein did he take per day tho?

In trigonometry, it should be noted that the value of sin(-5pi/6) is -0.5.

In order to find the value, we can use the following steps:

Draw a unit circle and mark an angle of -5pi/6 radians.

The sine of an angle is represented by the ratio of the opposite side to the hypotenuse of the triangle formed by the angle and the x-axis.

In this case, the opposite side is 1/2 and the hypotenuse is 1.

Therefore, sin(-5pi/6) will be:

= 1/2 / 1

= -0.5.

We can also use the following identity to find the value of sin(-5pi/6):

sin(-x) = -sin(x)

Therefore, sin(-5pi/6)

= -sin(5pi/6)

= -0.5.

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The probability that all three events will happen is 0.01536.

Let A, B and C be the three independent events, such that

P(A) = 0.2

P(B) = 0.24

P(C) = 0.32

The probability that all three events will happen can be calculated using the formula:

P(A ∩ B ∩ C) = P(A) × P(B) × P(C)

Now, substituting the values, we get:

P(A ∩ B ∩ C) = 0.2 × 0.24 × 0.32

= 0.01536

Therefore, the probability that all three events will happen is 0.01536.

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Answer:

y=6x-5

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Finding the slope:

Use this...

\(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Plug in what you know...

\(y_{2} =-5\\y_{1}=7\\x_{2} =0\\x_{1}=2\)

Now solve...

\(\frac{-5-7}{0-2}=\frac{-12}{-2} =6\)

So the slope is 6.

Finding the y-intercept:

Use this...

\(y=mx+b\)

Plug in what you know...

(2,7)    (I'll be using this pair but you can choose the other one)

\(y = 7\\x = 2\\m = 6\)

Now solve...

\(7=6(2)+b\\7=12+b\\b=-5\)

Writing the equation:

Use this...

\(y=mx+b\)

Plug in what you know...

\(m=6\\b=-5\)

Now write it out...

\(y=6x-5\)

That's it

Answer: It's 18

Step-by-step explanation: i took it and got it right

Answer:

Both brothers will have the same amount of money is their saving accounts after six months.

Step-by-step explanation:

I worked this out by finding out the first 8 months of savings for both brothers:

Patrick:               His brother:

200                     150

225                     185

250                     220

275                     253

300                     290

325                     325

375                     360

400                     395

I then looked across my results to see that at 6 months both brothers had $325.

Hope this helped.

The graph of given equations are parallel to each other.

Given that, y =1/4x and y= 1/4x+5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The graph of equations are parallel to each other and the line y= 1/4x+5, translated 5 units up.

Therefore, the graph of given equations are parallel to each other.

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a)  False - The consequent (2 + 2 = 5) does not hold true when the condition (1 + 1 = 2) is satisfied.

b)  False - Neither the condition (1 + 1 = 3) nor the consequent (2 + 2 = 4) is true.

c)  False - The consequent (2 + 2 = 5) does not follow when the condition (1 + 1 = 3) is met.

d)  True - Since the condition (monkeys can fly) is false, the statement (1 + 1 = 3) holds true due to the structure of the conditional statement.

In the given conditional statements, we need to determine whether each statement is true or false based on the provided conditions.

a) If 1 + 1 = 2, then 2 + 2 = 5. This statement is false because the initial condition (1 + 1 = 2) is true, but the consequent (2 + 2 = 5) is false. In mathematics, if the condition is true, the consequent should also be true, but in this case, it is not.

b) If 1 + 1 = 3, then 2 + 2 = 4. This statement is false because both the condition (1 + 1 = 3) and the consequent (2 + 2 = 4) are false. The initial condition is not satisfied, so the statement cannot be true.

c) If 1 + 1 = 3, then 2 + 2 = 5. This statement is false for the same reason as statement a) - the initial condition is true, but the consequent is false.

d) If monkeys can fly, then 1 + 1 = 3. This statement is true because it follows the structure of a conditional statement where the condition (monkeys can fly) is false, and therefore the statement is always true.

In summary, statement a), b), and c) are false, while statement d) is true.

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The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Answer:

The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.

explanation:

I'm bad with explaining things, but I'll try my best to explain why this is the right answer.

12 + 6n ≥ 30, so n ≤ 3

let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).

Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.

Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.

I hope this helps, and sorry if my explanation is hard to understand lol.

Answer:

t=5

Step-by-step explanation:

Answer:

Positive steady ncreasing slope!!

The given statement "In scientific experiments, we measure a small number of items (a sample) and then attempt to infer the sample characteristics to the the entire population." is True. In scientific experiments, we often cannot measure an entire population, so we use statistical sampling to measure a smaller subset (a sample) and then try to generalize our findings to the entire population using statistical inference.

In scientific experiments, it is often not feasible or practical to measure the entire population. Instead, we collect a representative sample from the population and use statistical methods to infer the characteristics of the population from the sample.

This process is known as statistical inference. By carefully designing the sampling process and using appropriate statistical methods, we can make accurate and reliable inferences about the population.

Therefore, it is important to ensure that the sample is representative and unbiased and that the statistical methods used are appropriate for the data and research question at hand. The statement is true.

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The value of x from the given diagram is -6

Line is defined as the distance between two points. Given the line RP with the following measures

RP = 17

RQ = x + 14

QP = x + 15

Using the expression

RP = RQ + QP

Substitute

17 = x + 14 + x + 15

17 = 2x + 29

Determine the value of x

2x = 17 - 29
2x= -12

x = -6

Hence the value of x from the given diagram is -6

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a) The congruent sides are:

As they have the same lengths.

b) The diagonals AC and BD are congruent.

Congruent figures are figures that have the same side lengths, that is, the side lengths of the figures have the same numerical measures.

The lengths of each side will be obtaining using the formula for the distance between two points, \((x_1,y_1)\) and \((x_2, y_2)\), given as follows:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates of the vertices of the rectangle are given as follows:

A(0,3), B(3,6), C(9,1), D(6,-2).

Hence the lengths of each segment is given as follows:

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Hey there!

10(a - 2.5 + 0.56b)

= 10(a) + 10(-2.5) + 10(0.56b)

= 10a - 25 + 5.6b

= 10a + 5.6b - 25

Therefore, your answer is: 10a + 5.6b - 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Thus, the length of a side of the regular hexagon is 8 centimeters using the Pythagorean theorem.

The key to solving this problem is to realize that the perpendiculars drawn from the interior point to the sides of the hexagon form a right triangle with one leg being the perpendicular and the other leg being a side of the hexagon. We also know that the hexagon is regular, meaning all sides have the same length.

Let's label the length of the side of the hexagon as "x". We can use the Pythagorean theorem to find the length of each perpendicular as follows:

- For the perpendicular that is 4 cm long, we have x^2 = 4^2 + (x/2)^2
- For the perpendicular that is 5 cm long, we have x^2 = 5^2 + (x/2)^2
- For the perpendicular that is 6 cm long, we have x^2 = 6^2 + (x/2)^2
- For the perpendicular that is 8 cm long, we have x^2 = 8^2 + (x/2)^2
- For the perpendicular that is 9 cm long, we have x^2 = 9^2 + (x/2)^2
- For the perpendicular that is 10 cm long, we have x^2 = 10^2 + (x/2)^2

Simplifying each equation and using a bit of algebra, we get:

- 3x^2 = 16^2
- 7x^2 = 25^2
- 12x^2 = 36^2
- 24x^2 = 64^2
- 33x^2 = 81^2
- 40x^2 = 100^2

Solving for x in each equation, we find that x = 8 cm. Therefore, the length of a side of the regular hexagon is 8 centimeters.

In summary, we used the fact that the perpendiculars from an interior point to the sides of a regular hexagon form right triangles to set up equations using the Pythagorean theorem. Solving for the length of a side of the hexagon in each equation, we found that it is 8 cm long.

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Answer:

(c) Paul's model predicts a score of 51 for 3 hours

(d) 30 represents the y intercept

Step-by-step explanation:

Given

\(y = 7x + 30\)

Solving (c): What is y when x is 3

Substitute 3 for x in \(y = 7x + 30\)

\(y = 7*3 + 30\)

\(y = 21 + 30\)

\(y = 51\)

Solving (d): What does 30 represent

An equation is represented as:

\(y = mx + b\)

Where

\(b = y\ intercept\)

Compare: \(y = mx + b\) to \(y = 7x + 30\)

\(b = 30\)

This implies that 30 represents the y intercept

Answer:

16 pair of shoes

Step-by-step explanation:

If Gayle donated x pairs, it means he is left with 30 - x pair of shoes.

Bonnie donated half as many as Gayle as donated.

We know Gayle donated x pairs, so Bonnie must have donated x/2.

Bonnie is left with 22 - (x/2) pairs after donation.

The question says, after donation they have the same number of pair of shoes.

It means, 30 - x = 22-(x/2),

If you will manipulate this equation and make x the subject,

you will get x=16.

I hope it helps.

Gayle donated 16 shoes

Number of shoes Gayle has after the equation can be represented with this equation : 30 - x

Where x = number of shoes she donated

Number of shoes Bonnie donated = 0.5x

Number of shoes Bonnie has after the equation can be represented with this equation : 22 - 0.5x

If Bonnie and Gayle ended with the same amount of shoes after the donation, this can be represented as:

30 - x = 22 - 0.5x

Combine similar terms

30 - 22 = x - 0.5x

8 = 0.5x

Divide both sides of the equation by 0.5

x = 16

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Answer:6. =    7. <     8.<     9. >    10. >    11.<.  12.<     13.=

14. 0.51,0.52, 0.59         15. 7.1, 7.15, 7.18         16.  1.03, 1.3, 1.33

Step-by-step explanation:

Answer: 63 ≠ 0

Step-by-step explanation: