You move left 6 units. You end at (-4, 4). Where did you start?
(you need a coordinate plane)

Yes, the unit rate of the ratio 12/5/3/10 is 8/1 as per given in the problem.

A unit rate is the price for one unit of a given quantity. With one as the denominator, we express this as a ratio. You would run 7 yards on average every second if you ran 70 yards in 10 seconds, for instance. The 70 yards in 10 seconds and the 7 yards in 1 second ratios are both rates, however the 7 yards in 1 second ratio is a unit rate.

Here, given that the unit rate for the ratio given is 8/1

We have to check whether the ratio is correct or not

So, (12/5)/(3/10)

=(12/5)×(10/3)

=8/1

Therefore, the ratio 8/1 is correct as per given in the sum

So, the answer is yes

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The expected value of the smaller loss can be found using the properties of the exponential distribution.

Since the exponential distribution is memoryless, the probability of the first loss being the smaller loss is the same as the probability of the second loss being the smaller loss. Therefore, the expected value of the smaller loss is half of the expected value of the minimum of two exponential random variables.

The minimum of two independent exponential random variables with the same mean is known to follow an Erlang distribution with parameters k=2 and λ=1. Therefore, the expected value of the minimum of two exponential random variables with mean 1 is given by 2/λ = 2.

Thus, the expected value of the smaller loss is 1, which is half of the expected value of the minimum of two exponential random variables.

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Answer:iiikkkkkkkhuf76v76r 7

Step-by-step explanation:12345678910

Answer:

The volume of the cylinder is defined by the expression .

\(V=\pi (x+8)^2 (2x+3) or V=\pi (2x^3 + 35x^2 + 176x +192)\)

The volume of the cylinder where the radius is r = ( x + 8 ) and height is h = ( 2x + 3 ) is given by the expression V = π ( 2x³ + 35x² + 176x + 192 ) units³

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be V

Now , the radius of the cylinder is r = ( x + 8 ) units

The height of the cylinder is h = ( 2x + 3 ) units

And , Volume of Cylinder = πr²h

On simplifying , we get

The volume of cylinder V = π ( x + 8 )² ( 2x + 3 ) units³

The volume of cylinder V = π ( x² + 16x + 64 ) ( 2x + 3 )

The volume of cylinder V = π ( 2x³ + 35x² + 176x + 192 ) units³

Hence , the volume of cylinder is V = π ( 2x³ + 35x² + 176x + 192 ) units³

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Answer:

6x - 9

Step-by-step explanation:

We can use the distributive property to solve.

3(2x - 3)

(3 * 2x) + (3 * -3)

6x - 9

Best of Luck!

3(2x-3)

Multiplying each term in the parentheses by 3

3×2x-3x-3

calculate the product

6x-3×3

multiply the number

6x-9

Answer:

the last one

Step-by-step explanation:

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

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Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

Answer:

She would gain 1.5 inches after 3 hours. She would then have 12.5 inches on her lawn.

Answer:

snow after 3 hours=12.5

snow after 1 hour=11.5

Step-by-step explanation:

1.take 0.5 and multiply it by 3 then take that and add it by 11 and that's how you get the sum for 3 hours.

2.take 0.5 and add it by 11 and that's how you get the sum for 1 hour.

Answer:

30

Step-by-step explanation:

15•(13-7)÷(8-5)

15•(6)÷(3)

90÷3

30

Answer:

30

Step-by-step explanation:

15 x 6 / 3 =

90 / 3 =

30

Hope that helps!

Answer:

d

Step-by-step explanation:

5x + 4 = -6

5x= -6-4

5x=-10

x=-2

The value of the first expression is x=-2.

x/2 + 3 = 2

x/2 = 2-3

x/2 = -1

x=-2

The value of the second expression is x=-2.

2x+14=10

2x=-4

x=-2

The value of the third expression is x=-2.

-2=-x

2=x

The value of the fourth expression is x=2.

Answer:

V = 120 in³

Step-by-step explanation:

V = lbh

So,

4 × 10 × 3 = 120

Answer:

3

Step-by-step explanation:

its the answer becuase thats what the answer is

The probability of getting a blue sock then a black sock is 3/100 or 0.03.

The probability of picking a blue sock on the first draw is 3/10 (since there are 3 blue socks out of a total of 10 socks).

Calculate the probability of picking a blue sock first.
There are 3 blue socks out of a total of 10 socks (6 white + 3 blue + 1 black), so the probability of picking a blue sock first is 3/10.

Since the sock is replaced, the total number of socks remains the same. Calculate the probability of picking a black sock second.
There is 1 black sock out of a total of 10 socks, so the probability of picking a black sock second is 1/10.

Multiply the probabilities together.
The probability of both events happening in sequence is (3/10) * (1/10) = 3/100.

So, the probability of getting a blue sock then a black sock is 3/100.

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The four angles of a quadrilateral are  30°, 60°, 150°, and 120°  if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are  30°, 60°, 150°, and 120°

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The four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Step-by-step explanation:

Limits of the functions are given as: Therefore, lim x→2 f(x) = 10. Therefore, lim x→-3 4g(x) = -40. Therefore, lim x→2 g(f(x)) = 3.

We start by finding the limit of f(x) as x approaches 2:

lim x→2 f(x) = lim x→2 [2x^2 / (x - 3)]

Using direct substitution gives an indeterminate form of 0/0. To resolve this, we can factor the numerator as follows:

lim x→2 f(x) = lim x→2 [2x^2 / (x - 3)]

= lim x→2 [(2x + 6)(x - 3) / (x - 3)]

= lim x→2 [2x + 6]

= 2(2) + 6

= 10

Therefore, lim x→2 f(x) = 10.

Next, we find the limit of 4g(x) as x approaches -3:

lim x→-3 4g(x) = 4 lim x→-3 (x - 7) = 4(-3 - 7) = -40

Therefore, lim x→-3 4g(x) = -40.

Finally, we find the limit of g(f(x)) as x approaches 2:

lim x→2 g(f(x)) = lim x→2 g(2x^2 / (x - 3))

Using the same factorization as before, we get:

lim x→2 g(f(x)) = lim x→2 g(2x + 6)

Now, using direct substitution, we get:

lim x→2 g(f(x)) = g(2(2) + 6)

= g(10)

= 10 - 7

= 3

Therefore, lim x→2 g(f(x)) = 3.

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Answer:

B. 4

C. -40

A. -3

Step-by-step explanation:

Had the assignment and all these answers are correct, enjoy :)

p.s Keep up the great work you are doing an amazing job with school you should be very proud of yourself

The house must have 13 bedrooms.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

let the number of bedrooms be x.

As, the maximum number of people allowed is twice the number of bedrooms plus one .

So, max people ≤ 2x + 1

Now, we have number of people = 1 + 1 + 4 = 6

Then, the maximum bedrooms have

= 2 (6)+ 1

= 13

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Answer:

C that is the answer hope I helped you guys

To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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The measures of the other three angles of the quadrilateral;

Using the circle theorem:

If line BD is the diameter of the circle,

Then,

< BCD = 90°

< DAB = 90°

Also,

angle ABC = 180° - angle ADC

( opposite angles of a cyclic quadrilateral are supplementary).

angle ABC = 180° - 62⁰

angle ABC = 118⁰

Therefore, a quadrilateral is a polygon with four sides, four angles, and four vertices.

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Yes, it is valid to use the Central Limit Theorem (CLT) to describe the sampling distribution of the sample mean, even for a random sample of five households. Although a sample size of five is relatively small, the CLT still applies as long as the sample is random and independent.

  The Central Limit Theorem is a fundamental concept in statistics that states that, under certain conditions, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

While a sample size of five may be considered small, the CLT still holds for this case. The key consideration is that the sample is selected randomly and each observation is independent of the others. As long as these conditions are met, the CLT can be applied, even for small sample sizes.

In practice, larger sample sizes are generally preferred to ensure better approximation to the normal distribution. However, the CLT provides a theoretical foundation for the validity of using the normal distribution as an approximation for the sampling distribution of the sample mean, even with relatively small sample sizes like five households.

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Answer:

6

Step-by-step explanation:

Answer:

-486

Step-by-step explanation:

Answer:

110 is the answer

Step-by-step explanation:

The lower class boundary for the first class is 122.5.

Data was collected for 300 fish from the North Atlantic.

The length of the fish (in mm) is summarized in the GFDT below.

| Length (mm) | Frequency | 123 - 145 | 34 | 146 - 168 | 89 | 169 - 191 | 107 | 192 - 214 | 44 |

The class boundaries for a frequency table are calculated by taking the lower limit of one class and subtracting 0.5

from it to find the lower class boundary, and taking the upper limit of the previous class and adding 0.5 to it to find the

upper class boundary.

For the first class, the lower limit is 123 and the upper limit is 145. So the lower class boundary is:123 - 0.5 = 122.5

Therefore, the lower class boundary for the first class is 122.5.

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Answer:yes!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To prove check out this screenshot Mark my answer the brainliest to tell you the 4 math calculators :)

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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By solving the two equations, the values of x , y and x-y are found to be 1, 25/3 and -22/3 respectively.

Given two equations are;

5x+3y=30..........(1)

−5x−2y=−25.........(2)

Now , from (2)

−5x−2y=−25

⇒ 5x +2y = 25 (multiply both sides with '-' sign)

⇒ y = \(\frac{(25 -5x)}{2}\)

Solving the system;

substitute the above vale of y in eq (1)

5x + 3y = 30

⇒ 5x + 3 ( \(\frac{(25 -5x)}{2}\)) = 30

⇒  5x + (\(\frac{(75 - 15x)}{2}\)) = 30

⇒  \(\frac{10x+75-15x}{2}\) = 30

⇒ -5x + 75 = 60

⇒  -5x = -5

⇒ x = 1

∴ x = 1

Now substitute the value of x in (1)

5x + 3y = 30

⇒ 5 × 1 + 3y = 30

⇒ 3y = 25

⇒ y = 25/3

∴ y = 25/3

Now using the value of x and y , we can find the value of x - y

x - y = 1 -25/3 = (3 - 25)/ 3 = -22/3

∴ x - y = -22/3

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The complete question is :

How do uv-induced dna lesions lead to mutation? drag the terms on the left to the appropriate blanks on the right to complete the sentences. not all terms will be used.

Answer:

When cells enter S phase with Ultraviolet-induced DNA lesions, the replicative DNA polymerases stall at the lesion.

Step-by-step explanation:

As a result of photosensitization, which causes the production of a free radical that interacts with DNA and oxidizes its bases, ultraviolet radiation causes oxygen-dependent DNA damage. Mutations occur when these oxidized bases don't pair properly during the replication process. The various types of DNA damage caused by ultraviolet radiation result in particular types of mutations and the development of skin cancer in people, frequently decades after initial exposure. There are noticeable UV-induced DNA lesions that are caused by various UV wavelengths.

When cells enter S phase with Ultraviolet-induced DNA lesions, the replicative DNA polymerases stall at the lesion.

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Using Marked recapature formula for estimation on population size we get,

the estimate for total population size is 1200.

Marked recaputure Method :

first step is to capture and mark a sample of individuals. The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms,

R/S = M/N

where R --> second time marked

S---> size of sample second time

N --> estimate population size

M ---> Marked in start point

We have given that ,

Total marked turtles by researchers (M) = 800

Second time total sample size (S) = 300

second time marked turtles(R) = 200

we have to find out estimate for total population size .

For this , Mark -Recapture method is very efficient to calculate estimate for total population size.

putting all known values in above formula we get, R/S = N/M

=> 200/300 = 800/N

=> 800× 300 = N× 200

=> N × 200 = 240000

=> N = 240000/200

=> N = 1200

so, the estimate for total population size is 1200.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5