After 4 hours, the number 2 is used as a factor ? Times

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the equation of yours is wrong. the equation would be y=1/3x.

Step-by-step explanation:

here's the graph. hope it helps.

Answer:

c is correct

Step-by-step explanation:

trust me... c is the correct one

How long the meeting last = End time - Starting time

                =  10:25 - 9:30

                =  9:85 - 9:30   [I converted 10:25 to make it easier to see the

                                           subtraction. This is posibble because 1hr = 60mins]

                = 55 mins

Answer:

252× 8 = 2,016

Step-by-step explanation:

the answer is 2,016 u just need to multiply

The study outlined above is an experiment. In the study, two firefly colonies are set up in a laboratory environment and are subjected to different conditions. Therefore, it is an experimental design as the researcher is actively manipulating the independent variable which is the exposure of fireflies to light.

An observational study would involve recording data on a subject without manipulating their environment or situation. An observational study would have a less controlled environment in which the researcher does not interfere with the study subjects. There is a control group and a treatment group. The control group is the colony that is exposed to normal daylight/darkness conditions. The treatment group is the colony that is exposed to continuous light. The control group is used to provide a baseline measure or standard of comparison for the experiment.

It provides a way to compare the difference between the treatment group and the control group. Thus, the control group is the normal light/darkness colony, and the treatment group is the continuous light colony.

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Answer:

215$ in profit

Step-by-step explanation:

So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.

Step-by-step explanation:

This can be done by using the trignometric ratio of tangent in the ∆DEF . The two of its sides along 90° are 7.2 and d .

• In ∆ DEF :-

\(\tt\to tan42^o = \dfrac{EF}{ED}\\\\\tt\to tan42^o =\dfrac{d}{7.2}\\\\\tt\to 0.9 = \dfrac{d}{7.2}\\\\\tt\to d =7.2\times 0.9\\\\\tt\to\boxed{\orange{\tt d = 6.48 }}\)

The equation that requires the multiplication property of equality to be solved is:

\(\boxed{\sf \dfrac{a}{6}=420}\)

Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.

The multiplication property states that:

Out of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.

That is:

\(\text{If} \ {\sf \dfrac{a}{6}=420}\)

\({\sf \dfrac{a}{6}\times6=420\times6\)

\(\sf a=2520\)

Hence, the equation that requires the multiplication property of equality to be solved is:

\({\sf \dfrac{a}{6}=420}\)

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Answer:

B

Step-by-step explanation:

Answer:

First one would be B

Second one would be x ≥ 80

The ANOVA (Analysis of Variance) summary table is used to analyze the variation among groups in an experiment. It provides important statistical information to determine if there are significant differences between the groups.

The ANOVA summary table typically includes the sources of variation (such as between groups and within groups), the degrees of freedom, the sum of squares, the mean square, the F-statistic, and the p-value. These values are calculated based on the data from the experiment and are crucial in determining the significance of the observed differences.

To construct an ANOVA summary table, several calculations need to be performed. The first step involves calculating the sum of squares (SS) for each source of variation. The degrees of freedom (df) are then determined based on the number of groups and the total sample size. Using the SS and df values, the mean square (MS) is calculated by dividing the SS by the corresponding df.

The F-statistic is obtained by dividing the between-groups mean square by the within-groups mean square. Lastly, the p-value is determined based on the F-distribution and the degrees of freedom. The p-value represents the probability of observing the obtained F-statistic or a more extreme value if the null hypothesis (no significant difference between groups) is true.

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The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

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f (0) = 1 is the output for the given input .

What is  linear function ?

f(x)= -4 x+1

Put x = 0    ⇒   - 4 × 0 + 1

                  ⇒   0 + 1

                  ⇒   1

Therefore f (0) = 1

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Answer:

true

Step-by-step explanation:

The distance between the given coordinates  (−5, −19) and (−5, 32) is given by 51 units.

Let us consider the coordinates of two given points be,

(x₁ , y₁ ) = ( -5 , -19 )

(x₂ , y₂ ) = (-5 , 32 )

Distance formula between two points is equals to,

Distance = √ ( y₂ - y₁)² + ( x₂ - x₁ )²

Substitute the values of the coordinates we have,

⇒ Distance = √ ( 32 - (-19))² + ( -5- (-5) )²

⇒ Distance = √ (32 +19)² + (-5 + 5)²

⇒ Distance = √ 51² + 0²

⇒ Distance =  51 units.

Therefore, the distance between the two points is equal to 51 units.

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The geometric mean of 3√5/4 and 5√5/4 is 5√3/4.

Geometric mean, like arithmetic mean, is a kind of average and a measure of central tendency.

To solve for the geometric mean, we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. In other words, geometric mean is the nth root of the product of n values.

The formula for the geometric mean is given by:

GM = n√x1 x2 . . . xn

Solving for the geometric mean between 3√5/4 and 5√5/4 using the formula:

GM = n√x1 x2 . . . xn

where n = 2, x1 = 3√5/4, and x2 = 5√5/4

GM = √(3√5/4)(5√5/4)

GM = √(75/16)

GM = 5√3/4

Hence, the geometric mean of 3√5/4 and 5√5/4 is 5√3/4.

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Answer:

$25.80

Step-by-step explanation:

40% = 40/ 100 = 4/10 = 0,4

There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!

So you need to subtract the 40%, so (1 - 0.4 =) 0.6

The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).

The amount the item actually cost after the discount is $25.80

Answer:

? = 26 in

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

?² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

? = \(\sqrt{676}\) = 26

Answer:

26 inch

Step-by-step explanation:

unknown side can be found using Pythagorean theorem

a*a+b*b=c*c

24*24+10*10=c*c

576+100=c*c

√676=c

c=26inche

Answer:

h = 11.3 cm

use tane rule:

\(\sf tan(x)= \dfrac{opposite}{adjacent}\)

Here:

=========

\(\hookrightarrow \sf tan(37)= \dfrac{h}{15}\)

\(\hookrightarrow \sf h = tan(37) * 15\)

\(\hookrightarrow \sf h = 11.3 \ cm\)

Answer:

see explanation

Step-by-step explanation:

The nth term ( explicit formula) of a geometric sequence is

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{\frac{4}{3} }{-2}\) = - \(\frac{2}{3}\) , then

\(a_{n}\) = - 2 \((-\frac{2}{3}) ^{n-1}\) ← explicit formula

Answer:

Step-by-step explanation:

The formula for an explicit geometric formula (as opposed to a recursive one) is

\(a_n=a_1(r)^{n-1}\) where a(n) is representative of the position of a number in the sequence, a(1) is the first number in the sequence, and r is the common ratio. The common ratio is the same number that must be either multiplied in or divided out to get to the next number in the term. Notice that the top numbers in our sequence are doubling which implies we are multiplying the top numbers by -2, and the bottom numbers are going up by multiples of 3. So our common ratio is -2/3. Try it and see:

\(-2(-\frac{2}{3})=\frac{4}{3}\)  and

\(\frac{4}{3}(-\frac{2}{3})=-\frac{8}{9}\) etc.

Therefore, the explicit geometric formula for this sequence is

\(a_n=-2(-\frac{2}{3})^{n-1\)

You can use this formula to find any number in the sequence; for example, if you wanted to know the 100th number in this sequence, simply replace n with 100 and do the math. That's what an explicit formula is used for.

Answer:

Step-by-step explanation:

2.66 as a fraction in simplest form

(2.66 × 100)/100 =

266/100 =

133/50

-----------------

check

133 : 50 = 2.66

the answer is good

3a ≥ 20a ≥ 20/3, Let’s assume the length of one side of a square is "a" cm. Therefore, the perimeter of the square is 4a cm. As per the given statement, The perimeter of a square is at least 20 centimeters more than the length of a side.

We can write the inequality as:

Perimeter of the square ≥ a + 20

Given that the perimeter of a square is 4a cm. Hence, we can write the inequality as:

4a ≥ a + 20

As per the solution we got, a can be greater than or equal to 20/3, but it cannot be less than zero.

The possible length of a side is a ≥ 20/3.

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1. The area of the scale drawing of the park is 146,880 square inches (Option J).

2. The perimeter of the park is 126 feet (Option D).

3. The length of the south side of the park is 40% of the length of the north side (Option F).

1. To find the area of the scale drawing of the park, we need to calculate the area of the trapezium. The formula for the area of a trapezium is (base1 + base2) * height / 2.

Using the scale, the lengths of the bases (parallel sides) in feet would be:

Base1 = 28 inches * 1.5 feet/inch = 42 feet

Base2 = 40 inches * 1.5 feet/inch = 60 feet

Plugging in the values into the formula, we have:

Area = (42 + 60) * 16 / 2 = 1020 square feet

Since the answer options are in square inches, we need to convert the area back to square inches:

Area = 1020 square feet * 144 square inches/square foot = 146880 square inches

Therefore, the area of the scale drawing of the park is 146880 square inches.

2. The perimeter of the park can be calculated by summing up the lengths of all sides.

The lengths of the sides in feet would be:

Side1 = 28 inches * 1.5 feet/inch = 42 feet

Side2 = 40 inches * 1.5 feet/inch = 60 feet

Side3 = 16 inches * 1.5 feet/inch = 24 feet

Adding up all sides, we have:

Perimeter = Side1 + Side2 + Side3 = 42 feet + 60 feet + 24 feet = 126 feet

Therefore, the perimeter of the park is 126 feet.

3. To find the percentage length of the south side compared to the north side, we can calculate:

Percentage = (South Side Length / North Side Length) * 100

Using the scale, the length of the south side in feet would be:

South Side Length = 16 inches * 1.5 feet/inch = 24 feet

The length of the north side is already given as 40 inches * 1.5 feet/inch = 60 feet.

Plugging in the values, we have:

Percentage = (24 feet / 60 feet) * 100 = 40%

Therefore, the length of the south side of the park is 40% of the length of the north side.

Complete Question:

Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.

1. What is the area, in square inches, of the scale drawing of the park? 448 544 H. 640 672 K. 1.088

2. Mikea's proposal includes installing a fence on the perimeter of the park. What is the perimeter, in feet, of the park? A. 84 B. 88 C. 104 D. 126 E 156

3. The length of the south side of the park is what percent of the length of the north side? F. 112% G. 1245 H. 142 J. 1754 K. 250%

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The expected mass of the sample in the year 2012 is 280 grams

Given data ,

The exponential decay formula is given by:

N(t) = N0 * e^(-λt)

where:

N(t) is the remaining mass of the radioactive isotope at time t,

N0 is the initial mass of the radioactive isotope,

e is Euler's number (approximately equal to 2.71828),

λ is the decay constant of the radioactive isotope, and

t is the time elapsed since the initial measurement.

We know that the initial mass of the sample in 2006 was 490 mg, and the mass of the sample in 2008 was measured to be 370 mg

So , r = ( 490 / 370 )^1/2 - 1

On simplifying , we get

The exponential growth rate r = -13.103392 %

Now , the year = 2012 , t = 4 years

So , x₄ = 490 ( 1 + 13.10/100 )⁴

On simplifying , we get

x₄ = 279.4 grams

On rounding to the nearest whole number ,

x₄ = 280 grams

Hence , the amount of the sample left in 2012 is 280 grams

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Answer:

The answer is: If I do not listen to this song, then it will not get stuck in my head.

The interest on $5.255 at 12% for 30 days using ordinary interest is approximately $0.0511.

To calculate the interest using ordinary interest, we can use the formula:

Interest = Principal * Rate * Time

Here, the principal (P) is $5.255, the rate (R) is 12% (or 0.12), and the time (T) is 30 days.

Plugging in the values:

Interest = $5.255 * 0.12 * (30/365) = $0.0511 (rounded to four decimal places)

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Answer:1/216

Step-by-step explanation:6X6X6 because 6 is fore the number of sides and three sixes are for the number of times

If the null hypothesis is statistically significant at level α = 0.05, it means that the probability of obtaining the observed result by chance is less than 5%. Therefore, the correct answer is A. Therefore, if we increase the significance level to α = 0.10, which means allowing for a higher probability of obtaining the observed result by chance, the test would still be significant.

When conducting a statistical hypothesis test, a significance level is set to determine whether to reject the null hypothesis or not. A common significance level is α = 0.05, which means that if the probability of obtaining the observed result by chance is less than 5%, we reject the null hypothesis. If the null hypothesis is statistically significant at α = 0.05, it means that the observed result is unlikely to have occurred by chance, and we have evidence to support the alternative hypothesis.

If we increase the significance level to α = 0.10, we are allowing for a higher probability of obtaining the observed result by chance. Therefore, the test would still be significant if it was statistically significant at α = 0.05, but may not be significant at α = 0.01, which requires a lower probability of obtaining the observed result by chance. It's important to note that the standard normal distribution is not uniform, but rather bell-shaped, symmetric about the mean, and unimodal. Therefore, option B, which states that the standard normal distribution is uniform, is not true, while options C and D are also not true.

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\(7\frac{1}{2}\implies 7.5\hspace{5em}1\frac{1}{4}\implies 1.25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{Monday through Friday} }{\stackrel{ days }{(5)}\stackrel{ rate }{(10.80)}\stackrel{ hours }{(7.5)}}~~ + ~~\stackrel{ Saturday }{\stackrel{ days }{(1)}\stackrel{ rate }{(10.80)(1.25)}\stackrel{ hours }{(7.5)}} \\\\\\ 405~~ + ~~101.25\implies \text{\LARGE 506.25}\)