Write 2.625 as a mixed number in simplest form.

Answer:

x=5

Step-by-step explanation:

The two triangles are congruent to each other (meaning they are equal)

This means that x is equal to 5.

Given:

To find:

We need to find the perimeter of DEFG.

Explanation:

The given quadrilateral DEFG is rhombus since it has four sides with equal length.

The endpoints of the DG are (1,2) and (5,3).

Consider the distance formula.

The perimeter of the rhombus.

Final answer:

Answer:

B

Step-by-step explanation:

maybe

Answer:

-25

Hope this helps you out :)

Answer:

the answer should be -25

Answer:

Answer is x = 31.5

Step-by-step explanation:

Explanation is in the picture. Pls give brainliest. :D

Answer: 32 1/4 miles after 43 minutes. after an hour you will have traveled 45 miles.

Step-by-step explanation:2.5/3.3333=3/4 mi per minute once you have this just multiply by the time

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

A multiple regression model with 200 data points and three independent variables has 196 degrees of freedom for testing the statistical significance of individual slope coefficients. Here's an explanation in 150 words:

In a multiple regression model, the degrees of freedom for testing the statistical significance of individual slope coefficients are calculated as the total number of observations (n) minus the number of independent variables (k) and minus one for the intercept term. In this case, we have 200 data points (n) and three independent variables (k), so the calculation would be:

Degrees of freedom = n - (k + 1)

Substituting the values into the formula:

Degrees of freedom = 200 - (3 + 1) = 200 - 4 = 196

Therefore, this multiple regression model has 196 degrees of freedom for testing the statistical significance of individual slope coefficients.

This measure helps determine the uncertainty around the estimated coefficients and is used in hypothesis testing to determine whether there is a significant relationship between the independent variables and the dependent variable.

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This ideal consists of all integer linear combinations of 1 and i. Since 2 is not in ⟨1 + i⟩, we have ⟨2⟩⊊⟨1 + i⟩⊆Z[i].  ⟨1 + i⟩ is an ideal that satisfies the given conditions.

(a) To show that S is not an ideal of Z[i], we need to demonstrate that it fails to satisfy one of the conditions for being an ideal.

Recall that for S to be an ideal of Z[i], it must be closed under addition and must absorb multiplication by any element of Z[i].

First, let's consider closure under addition. We can observe that adding two even integers results in another even integer, so S is closed under addition.

Next, let's check if S absorbs multiplication by any element of Z[i]. To do this, we need to multiply an even integer from S by an element of Z[i] and see if the result is still in S.

Let's take the even integer 2 and multiply it by the complex number i, which is an element of Z[i].

The product 2i is not an even integer since it has an imaginary part, so S fails to absorb multiplication by this element. Therefore, S is not an ideal of Z[i].

(b) The smallest ideal of Z[i] containing S can be found by taking the intersection of all ideals of Z[i] that contain S. Since any ideal of Z[i] is also an ideal of Z, we can find the smallest ideal containing S in Z.

In Z, the smallest ideal containing S is the principal ideal generated by 2, denoted by ⟨2⟩. This ideal consists of all integer multiples of 2. Since Z[i] is a subring of Z, the smallest ideal of Z[i] containing S is also ⟨2⟩.

(c) To find an ideal J such that ⟨2⟩⊊J⊊Z[i], we need to consider a larger ideal that properly contains ⟨2⟩.

One such ideal is the principal ideal generated by 1 + i, denoted by ⟨1 + i⟩. This ideal consists of all integer linear combinations of 1 and i. Since 2 is not in ⟨1 + i⟩, we have ⟨2⟩⊊⟨1 + i⟩⊆Z[i].

Therefore, ⟨1 + i⟩ is an ideal that satisfies the given conditions.

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Out of the remaining two angles, one measures 90° and other measures 83°.

The sum of all the angles of triangle is 180°. Right triangle indicates presence of 90° angle in the triangle. Assuming the remaining angle in right triangle be x. Forming the equation now -

x + 7 + 90 = 180

Performing addition on Left Hand Side of the equation to find the value of x

x + 97 = 180

x = 180 - 97

Performing subtraction on Right Hand Side of the equation to find the value of x

x = 83

Thus, the measure of other angles is 83° and 90°.

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Answer: 0.65

Step-by-step explanation:

Answer:

\(\frac{13}{20}\)

Explanation:

\(3 \frac{1}{4}\) × \(\frac{2}{5}\) × \(\frac{1}{2}\)

First, you want to remove any coefficient in front of the fraction.

\(3\frac{1}{4} = \frac{13}{4}\)

To change \(3\frac{1}{4}\), first you multiply the coefficient 3 to 4, which equals 12. Then add 12 to 1, which equals 13.

Now multiply:

\(\frac{13}{4}\) × \(\frac{2}{5}\) × \(\frac{1}{2}\)

\(13\) × \(2\) × \(1\) = \(26\)

\(4\) × \(5\) × \(2\) = \(40\)

\(\frac{13}{4}\) × \(\frac{2}{5}\) × \(\frac{1}{2}\) = \(\frac{26}{40}\)

Simplify:

\(\frac{26}{40}\) = \(\frac{13}{20}\)

Answer:

use Pythagoras theorem to find hypotenuse in right angle triangle

Answer:

Slope-intercept is a specific form of linear equations. It has the following general structure. Drum roll ...

\Large y=\maroonC{m}x+\greenE{b}y=mx+by, equals, start color #ed5fa6, m, end color #ed5fa6, x, plus, start color #0d923f, b, end color #0d923f

Here, \maroonC{m}mstart color #ed5fa6, m, end color #ed5fa6 and \greenE{b}bstart color #0d923f, b, end color #0d923f can be any two real numbers. For example, these are linear equations in slope-intercept form:

y=2x+1y=2x+1y, equals, 2, x, plus, 1

y=-3x+2.7y=−3x+2.7y, equals, minus, 3, x, plus, 2, point, 7

y=10-100xy=10−100xy, equals, 10, minus, 100, x [But this equation has x in the last term!]

On the other hand, these linear equations are not in slope-intercept form:

2x+3y=52x+3y=52, x, plus, 3, y, equals, 5

y-3=2(x-1)y−3=2(x−1)y, minus, 3, equals, 2, left parenthesis, x, minus, 1, right parenthesis

x=4y-7x=4y−7x, equals, 4, y, minus, 7

Slope-intercept is the most prominent form of linear equations. Let's dig deeper to learn why this is so.

Step-by-step explanation:

Answer:

d≤69

Step-by-step explanation:

Answer:

I think the answer is 20

Step-by-step explanation:

6x3=18+2=20

Answer:

Kim now has 20 pet fish. This is because if you do (6 x 3) since you said Jan had 6 pet fish and Kim had 3 times as many meaning the six times the three. Then, Kim had got 2 more fish meaning she now had 20 fish in total. The (18 + 2).

Step-by-step explanation:

As per the given correlation, the appropriate null and alternative hypothesis for calculating number of goggles is

H0 : No linear relation

H1 : there is a relation

What is meant by correlation?

In math, correlation is referred as a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).

And it is a common tool for describing simple relationships without making a statement about cause and effect.

Based on the given question, a group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.

And we also know that, they wanted to know if the weight of the piknits can be used to predict the number of gogles.

Here from the given information, the null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of goggles

And the Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles

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Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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No, Billy will not be able to reach the border before the cops arrive in 9 minutes.

To determine whether Billy can reach the border before the cops arrive, we need to calculate the time it would take him to cover the distance of 1.9 km.

Using the formula speed = distance / time, we can rearrange the formula to solve for time. Rearranging, we have time = distance / speed.

Given that Billy's speed is 13 km/h, we can calculate the time it would take him to cover 1.9 km.

time = 1.9 km / 13 km/h = 0.146 hours

To convert hours to minutes, we multiply by 60:

0.146 hours * 60 minutes/hour = 8.76 minutes

Therefore, it would take Billy approximately 8.76 minutes to reach the border. Since the cops are expected to arrive in 9 minutes, he would not be able to make it before they arrive.

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Answer:

5,0

10,0

( I'm sorry if this wasn't helpful to you) ;(

(a) After a 24-hour period, approximately 89.2% of the initial dose of fluoxetine remains in the body.

(b) Right after taking the 7th dose, there would be approximately 1.6 mg of fluoxetine in the body.

(c) In the long run, the quantity of fluoxetine in the body right after a dose would stabilize at around 2.5 mg.

(a) The half-life of fluoxetine is 3 days, which means that after each 3-day period, the amount of fluoxetine in the body decreases by half. Therefore, after a 24-hour period (1 day), approximately (1/2)^(1/3) ≈ 0.892, or 89.2%, of the initial dose remains in the body.

(b) After taking the 7th dose, the quantity of fluoxetine in the body can be calculated using the formula: Dose * (1/2)^(n/h), where n is the number of half-lives passed (7 in this case) and h is the half-life (3 days). So, the quantity of fluoxetine in the body right after taking the 7th dose would be: 50 mg * (1/2)^(7/3) ≈ 1.6 mg.

(c) In the long run, the quantity of fluoxetine in the body right after a dose will reach a steady state. This occurs when the amount eliminated after each dose is balanced by the amount absorbed from the subsequent dose. In the case of an exponential decay process like this, the steady-state concentration can be estimated by multiplying the dose by the fraction that remains in the body after one dosing interval. In this scenario, the steady-state quantity of fluoxetine in the body right after a dose would be approximately 50 mg * 0.05 ≈ 2.5 mg.

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Based on the Alternate Interior Angles Theorem, the measure of angle 3 in the image attached below is: 100°

If we have a situation where two parallel lines are intersected by a transversal, according to the Alternate Interior Angles Theorem, the pairs of alternate interior angles formed are congruent.

Angles 7 and 3 lie in the interior sides of the parallel lines but on opposite sides of the transversal, which makes them alternate interior angles. Therefore, based on the Alternate Interior Angles Theorem, we have:

m<3 = m<7

Substitute:

m<3 = 100°

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Answer:

Step-by-step explanation:

19 and 7

Answer:

See below

Step-by-step explanation:

1   note the other angle at d = 62   ( isosceles triangle)

2  x = 180 - 62 - 62 -25

Answer:

x = 31°

Step-by-step explanation:

since AB = BD then Δ ABD is isosceles with base angles congruent, so

∠ ADB = ∠ BAD = 62°

the sum of the 3 angle in Δ ABD = 180° , so

∠ ABD = 180° - 62° - 62° = 180° - 124° = 56°

∠ ABD and ∠ CBD are a linear pair and sum to 180° , so

56° + ∠ CBD = 180° ( subtract 56° from both sides )

∠ CBD = 124°

the 3 angles in Δ CBD sum to 180° , then

x + 124° + 25° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

A)  annual percentage increase in the winner's check over this period is approximately 11595652.17%.

B)   if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

a. To find the annual percentage increase in the winner's check over this period, we can use the formula:

Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100

First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:

Initial Value = $23
Final Value = $2,670,000

Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100

Now, we can calculate this value using the given formula:

Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%

Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.

b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:

Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n

Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)

Now, let's calculate the prize money in 2055 using the given formula:

Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35

Calculating this value, we find:

Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48

Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

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well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Buses will stop at the same sign again in 6 stops.

The least common multiple (LCM) of two or more integers is the smallest positive integer that is a multiple of each of these integers. In other words, it is the smallest number that is a multiple of all the given numbers.

Now the given problem involves finding the least common multiple (LCM) of 2 and 3. The LCM of 2 and 3 is 6, which means that the two buses will stop at the same sign again in 6 stops for both buses.

Bus A stops at every second sign, which means that it stops at signs 2, 4, 6, 8, 10, and so on.

Bus B stops at every third sign, which means that it stops at signs 3, 6, 9, 12, and so on.

Both buses stop at sign 6, which is the LCM of 2 and 3.

Therefore, they will stop at the same sign again in 6 stops for both buses.

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