0.142857 is rational or not​

Answers

Answer 1

Answer:  not rational

Step-by-step explanation:

It's  not rational because it has no pattern and probably goes on forever

Irrational means goes on forever without pattern.  Ex. \(\pi\) or √7


Related Questions

evaluate the iterated integral by changing to cylindrical coordinates. 2 −2 4 −4 √16 − x2 (x2 y2)3/2 dy dx dz −√16 − x2

Answers

The iterated integral by changing to cylindrical coordinates 2 −2 4 −4 √16 − x2 (x2 y2)3/2 dy dx dz −√16 − x2 is 128π.

To evaluate the iterated integral using cylindrical coordinates, first, we need to change the given rectangular coordinates (x, y, z) to cylindrical coordinates (ρ, φ, z). In cylindrical coordinates, x = ρcosφ, y = ρsinφ, and z = z. The Jacobian for the transformation is |J| = ρ. The given integral can be rewritten as:

∫(φ=0 to 2π) ∫(ρ=0 to 4) ∫(z=-√16-ρ² to √16-ρ²) (ρ²)³/2 * ρ dz dρ dφ

Now, we can evaluate the integral step by step:

1. Integrate with respect to z:

∫(φ=0 to 2π) ∫(ρ=0 to 4) [(z * ρ³) | (z = -√16-ρ²) to (z = √16-ρ²)] dρ dφ

2. Integrate with respect to ρ:

∫(φ=0 to 2π) [(1/4 * ρ⁴) | (ρ = 0) to (ρ = 4)] dφ

3. Integrate with respect to φ:

[(1/4 * 4⁴) * (φ | φ=0 to 2π)] = (256/4) * 2π = 128π

So the value of the iterated integral in cylindrical coordinates is 128π.

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Pls help me this was due a long time ago ❤️

Pls help me this was due a long time ago

Answers

Answer:

its the last one

Step-by-step explanation:

Answer:

2017 - 2019

Step-by-step explanation:

because 2019 is the largest and 2017 is the largest one from the top of the weight list

I dont know is this right

I need help with this question. PLEASE.

I need help with this question. PLEASE.

Answers

Use composites to approximate the shape of the curved sides of the pool

Estimating the area of the swimming pool.

From the question, we have the following statement that can be used in our computation:

Shape of swimming pool = composite figure

Curved side = Not a semicircle.

To do this, we simply break the composite figures into smaller figures whose areas can be calculated

After then, we add the areas of the individual shapes

This method of calculation is referred to as the areas by composite figures i.e. approximation method

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What is the mean of the data set?

{29, 40, 46, 6, 29, 6}
Question 1 options:

A. 40


B. 26


C. 156


D. 29

Answers

Answer:

The answer is 26. Add them all together then divide by the amount of numbers.

Step-by-step explanation:

Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?

1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.

A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.​

Answers

9514 1404 393

Answer:

  C: 2 and 3 only.

Step-by-step explanation:

We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).

The product of two odd numbers is odd, so (2) is one of the true statements.

__

Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.

Only statements (2) and (3) are true.

Jack picks 3 liters of berries in 8 minutes. Jill picks 4 liters of berries in 10 minutes. Working together, how many berries can they pick in 1 minute?

Answers

Answer:

they can pick 27 berry's

Step-by-step explanation:

I think-

They can pick 1.29 liters of berries in 1 minute working together.

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

The together rate is the sum of each separate rate. In this question:

We want to find the together rate.Jack's rate is \(\frac{3}{8}\)Jill's rate is \(\frac{4}{10}\)

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

Together, they can pick x liters, and the rate is: \(\frac{1}{x}\)

Then

\(\frac{1}{x} = \frac{3}{8} + \frac{4}{10}\)

\(\frac{1}{x} = \frac{15 + 16}{40}\)

\(\frac{1}{x} = \frac{31}{40}\)

Applying cross multiplication:

\(31x = 40\)

\(x = \frac{40}{31}\)

\(x = 1.29\)

They can pick 1.29 liters of berries in 1 minute working together.

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Your car measures 16 3/4 ft. long, and the model of your car
measures 3 1/4 in. long. What is the scale factor of the model
car?

Answers

The scale factor of the model car is 1:61.23.

To determine the scale factor, we need to compare the length of the actual car to the length of the model car. The length of the actual car is given as 16 3/4 feet, which can be converted to inches as (16 x 12) + 3 = 195 inches. The length of the model car is given as 3 1/4 inches.

To find the scale factor, we divide the length of the actual car by the length of the model car: 195 inches ÷ 3.25 inches = 60. In the scale factor notation, the first number represents the actual car, and the second number represents the model car. Therefore, the scale factor of the model car is 1:61.23.

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I need some help with this

I need some help with this

Answers

Answer:

2/3

Step-by-step explanation:

Write the equation in point-slope form of a line that passes through the point (-13,71) and has the slope of m = -11 / 17​

Answers

Answer:

y - 71 = -11/17 (x +13)

Step-by-step explanation:

The formula for point slope form is:  y - y1 = m (x - x1). You plug in the x and y coordinate into x1 and y1 of the equation, and plug in the slope for m.

The National Council of Teachers of Mathematics states that all five math standards are important in the early childhood years. However, they state that an emphasis needs to be placed on which of the following standards?

Answers

The emphasis is on the Counting and Cardinality standard in the early childhood years according to the National Council of Teachers of Mathematics.

The National Council of Teachers of Mathematics emphasizes the following standards in the early childhood years:

- Counting and Cardinality

- Operations and Algebraic Thinking

- Number and Operations in Base Ten

- Measurement and Data

- Geometry

The National Council of Teachers of Mathematics recognizes that all five math standards are important in the early childhood years. However, they place a particular emphasis on the standards related to counting and cardinality. This includes developing skills in counting, understanding numbers, and recognizing numerical relationships.

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The double number lines show the ratio of feet to miles.A double number line with 4 equally spaced tick marks. The line labeled Feet, reads from left to right: 0, an unlabeled tick mark, 10,560, an unlabeled tick mark. The line labeled Miles, reads from left to right: 0, an unlabeled tick mark, 2, an unlabeled tick mark.A double number line with 4 equally spaced tick marks. The line labeled Feet, reads from left to right: 0, an unlabeled tick mark, 10,560, an unlabeled tick mark. The line labeled Miles, reads from left to right: 0, an unlabeled tick mark, 2, an unlabeled tick mark.How many feet are in 333 miles

Answers

There are 1,757,440 feet in 333 miles based on the given double number line.

To determine how many feet are in 333 miles based on the given double number line, we need to find the corresponding point on the "Feet" line that corresponds to 333 miles on the "Miles" line.

From the information provided, we can see that the tick marks on the "Miles" line are evenly spaced. Since there are two tick marks between 0 and 2 miles, each tick mark represents a distance of 2/2 = 1 mile.

Similarly, on the "Feet" line, there are two tick marks between 0 and 10,560 feet. Therefore, each tick mark represents a distance of 10,560/2 = 5,280 feet.

To find the number of feet in 333 miles, we can use the ratio between miles and feet. Since each tick mark on the "Miles" line represents 1 mile and each tick mark on the "Feet" line represents 5,280 feet, we can set up a proportion:

1 mile / 5,280 feet = 333 miles / x feet

Simplifying the proportion, we get:

1/5280 = 333/x

Cross-multiplying, we have:

x = 333 * 5280

Calculating the product, we find:

x = 1,757,440 feet

Therefore, there are 1,757,440 feet in 333 miles based on the given double number line.

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solving a proportion of the form x/a = b/c

Answers

To solve a proportion like x/a = b/c, you need to find the value of x that makes the two ratios equal. You can do this by cross-multiplying, which involves multiplying the numerator of one ratio by the denominator of the other ratio, and vice versa. We start by multiplying both sides by ac, giving us x = (ab)/c.


In summary, to solve a proportion of this form in just three steps, we multiply both sides by the product of the denominators, then simplify the resulting expression to get the value of x. To solve a proportion like x/a = b/c, you need to find the value of x that makes the two ratios equal. You can do this by cross-multiplying, which involves multiplying the numerator of one ratio by the denominator of the other ratio, and vice versa.

Following the cross-multiplying method, you multiply the two numbers that are diagonally opposite each other, then do the same for the remaining two numbers. In this case, multiply 'a' by 'c' and 'x' by 'b'. This results in the equation: x * b = a * c. To find the value of x, divide both sides of the equation by 'b'. This will give you the final equation: x = (a * c) / b. By plugging in the values for a, b, and c, you can easily solve for x and find the value that satisfies the proportion x/a = b/c.

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Ordered pairs of -3x + y < 11

Answers

The order pair will be greater than (-2,5) because when substituted the value (-2,5) will give 11 that will be false.

What is ordered pair?

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers. Two variables are frequently represented by ordered pairs. (x, y) = (7, - 2) means that x = 7 and y = -2. The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.

Here,

The given inequality,

-3x+y<11

at (0,0)

0<11

it is true.

at (1,1)

-3+1<11

-2<11

it is true.

Because 11 will be false when the value (-2,5) is substituted, the order pair will be greater than (-2,5).

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evaluate the integral. (use c for the constant of integration.) e4θ sin(5θ) dθ

Answers

The value of the integral is \(-(16/41) e^{(4\theta) }cos(5\theta) + c\)

How to evaluate the integral ∫\(e^{(4\theta)}\) sin(5θ) dθ?

To evaluate the integral ∫ \(e^{(4\theta)}\) sin(5θ) dθ, we can use integration by parts.

Let's assign u = sin(5θ) and dv = \(e^{(4\theta)}\) dθ.

Differentiating u with respect to θ, we have du = 5 cos(5θ) dθ.

Integrating dv with respect to θ, we have v = (1/4) \(e^{(4\theta)}\).

Now, we can use the integration by parts formula:

∫ u dv = uv - ∫ v du

Applying the formula, we have:

∫ \(e^{(4\theta)}\) sin(5θ) dθ = - (1/4) \(e^{(4\theta)}\) cos(5θ) - ∫ (1/4) \(e^{(4\theta)}\) (5 cos(5θ)) dθ

Simplifying further:

∫\(e^{(4\theta)}\) sin(5θ) dθ = - (1/4) \(e^{(4\theta)}\)cos(5θ) - (5/4) ∫\(e^{(4\theta)}\) cos(5θ) dθ

Now, we have a new integral to evaluate: ∫\(e^{(4\theta)}\)cos(5θ) dθ.

Using integration by parts again with u = cos(5θ) and dv = \(e^{(4\theta)}\)dθ, we obtain:

du = -5 sin(5θ) dθ

v = (1/4) \(e^{(4\theta)}\)

Applying the integration by parts formula:

∫ \(e^{(4\theta)}\)cos(5θ) dθ = (1/4) \(e^{(4\theta)}\)cos(5θ) - (5/4) ∫\(e^{(4\theta)}\) sin(5θ) dθ

Substituting this back into the previous equation, we have:

∫\(e^{(4\theta)}\)sin(5θ) dθ = - (1/4)\(e^{(4\theta)}\) cos(5θ) - (5/4) [(1/4) \(e^{(4\theta)}\) cos(5θ) - (5/4) ∫ \(e^{(4\theta)}\)sin(5θ) dθ]

Now, let's solve for the remaining integral:

(1 + (25/16)) ∫\(e^{(4\theta)}\)sin(5θ) dθ = - (1/4)\(e^{(4\theta)}\) cos(5θ)

Simplifying:

(41/16) ∫ \(e^{(4\theta)}\) sin(5θ) dθ = - (1/4) \(e^{(4\theta)}\)cos(5θ)

Finally, dividing both sides by (41/16), we get:

∫\(e^{(4\theta)}\)sin(5θ) dθ = - (16/41)\(e^{(4\theta)}\) cos(5θ) + c

Therefore, the value of the integral ∫\(e^{(4\theta)}\)sin(5θ) dθ is -(16/41) \(e^{(4\theta)}\) cos(5θ) + c, where c is the constant of integration.

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Find the volume of a right circular cone that has a height of 6.7 in and a base with a diameter of 8.8 in. Round your answer to the nearest tenth of a cubic inch.

Answers

The required volume of the right circular cone is 135.83409in³.

What is the right circular cone?

A right circular cone is one whose axis is the line between the vertex and the circular base's midway.

In other words, a right angle is formed when the center point of the circular base and the cone's peak are united.

So, the right circular cone volume formula:

V=1/3hπr²

Diameter = 8.8 in

Radius = 8.8/2 = 4.4 in
Now, calculate the volume as follows:

V = 1/3hπr²

V = 1/3(6.7)π(4.4)²

V = 135.83409 in³


Therefore, the required volume of the right circular cone is 135.83409in³.

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I’ll mark you brainlist I’ll mark you brainlist

Ill mark you brainlist Ill mark you brainlist

Answers

Answer:

453 have a nice night

Step-by-step explanation:

Answer:

453 is not a multiple of 100..

Step-by-step explanation:

Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.

Answers

Answer:  b

Step-by-step explanation:

I think

Help I will Give brainliest if you are correct!!!

Help I will Give brainliest if you are correct!!!

Answers

Answer:

11

Step-by-step explanation:

Answer:

X=1 Hope this helps you :) please brainliest

Step-by-step explanation:

Four complex numbers form the vertices of a square in the complex plane. Three of the numbers are $-19 32i,$ $-5 12i,$ and $-22 15i$. What is the fourth number

Answers

If the three numbers of a square in the complex plane are \(-19+32i,-5+12i and -22+15i\) , then the fourth complex number \(-2+19i\).

Given \(-19+32i,-5+12i and -22+15i\) are three numbers.

Complex numbers are those numbers which extends the real numbers with an imaginary i. In this \(i^{2}=-1\). Major complex numbers are in the form a+ bi where a and b are real numbers.

let the fourth complex numbers be \(x+yi\). Then according to question;

=\((-22+15i)-(-5+12i)\)

=(cos π/2+i sin π/2) \((x+yi)-(-5+12i)\)

\(-17+3i=-y+12\)\(+(x+5)i\)

Now solving for x and y by equating both sides.

x=-2 and y=29

Put the value of x and y in \(x+yi\)

Z=-2+29i

Hence if the three numbers which forms vertices of a square are \(-19+32i,-5+12i,-22+25i\) then the fourth complex numbers be \(-2+29i\).

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Here are the ingredients for making fish pie for 6 people.
Fish pie for 6 people
180 g flour
240 g fish
80 g butter
4 eggs
180 ml milk
Jill makes a fish pie for 3 people. Work out how much flour she needs.

Answers

Step-by-step explanation:

Given

6 people = 180g flour

1 person = 180/6 = 30g flour

3 people = 3 x 30 = 90g flour

Explanation
Step 1 = 180g for 6 people
Step 2 = first u need to find how much for one person u do that by dividing 180 by 6 which is 30
step 3 = now that u know 30 is for one person u times 30 by 3 = 90
Step 4 = so the answer is 90g

with the aid of series, show that the function f defined by means of the equations f (z) = { sin z/z, if z 6= 0 1, if z = 0 is entire. use that result to establish the limit limz→0 sin z z = 1.

Answers

Answer:

Step-by-step explanation:

To show that f is entire, we need to show that it is differentiable everywhere in the complex plane. For z = 0, we have f(z) = 1, which is clearly differentiable with derivative 0.

For z ≠ 0, we can use the power series expansion of sin z and write

sin z = z − z^3/3! + z^5/5! − z^7/7! + …

Dividing by z and taking the limit as z → 0, we get

limz→0 sin z/z = limz→0 (1 − z^2/3! + z^4/5! − z^6/7! + …) = 1

since all the terms in the parentheses approach 1 as z → 0.

Therefore, we have shown that f is differentiable everywhere in the complex plane, and hence is an entire function.

expand (x-4)^4 with binomial theorem or pascal's triangle

Answers

Answer:

(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴

=x⁴-16x³+96x²-256x+256

Find the center and Radius of the circle x²+y²+10x-18y+70=0

Answers

Center (-5,9).

Radius :6

La matemática financiera experimentó grandes avances con la creación de la banca y los negocios creados por los emprendedores. Este tipo de matemática se puede encontrar en las transacciones que realizan los concesionarios de carros, como en el siguiente caso: el costo anual (C de operación) de un automóvil nuevo es C= f + cm; f es el costo fijo (depreciación, seguros, impuestos), c es el costo de operación por kilómetro y m es el número de kilómetros recorridos. El costo total por 15000 Km es de 3000 USD, y el costo por 20000 Km es 3500 USD. Encuentra el costo fijo y el costo por kilómetro.

2. Resuelve aplicando sistemas de ecuaciones 2x2.

Answers

Answer:

c = \(\frac{1}{10}\)

f= 1500

Step-by-step explanation:

Tenemos la siguiente ecuación

\( C = f+cm\)

Tenemos los siguientes valores para m=15000, c = 3000 y para m = 20000, c=3500. Es decir, tenemos las siguientes ecuaciones

\( 3000=f+c15000, 3500=f+c20000\)

Si restamos la segunda ecuación de la primera, tenemos que

\( 3500-3000 = f-f+(20000c-15000c)\)

Luego

\( 500 = 5000c\)

Entonces \( c = \frac{500}{5000} = \frac{1}{10}\)

Si tomamos la primera ecuación, tenemos que \(3000-\frac{15000}{10} = f\). Es decir,

\( 3000-1500 = f = 1500\)

Esta solución, al plantear 2 ecuaciones y dos incógnitas, plantea un sistema dos por dos.

You start a savings account and on the first week you deposit $2. Every
week you add $1 more to the account then the week before. So on the
second week you add $3, on the third week $4. On which week would the
account be worth $560?

Answers

Answer:

558 weeks

Step-by-step explanation:

let x = number of weeks

this equation can be derived from the question

2 + 1x = 560

collect like terms

x = 560 - 2

x = 558

A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows:
F(x) =
0 x < 0
0.06 0 ≤ x < 1
0.16 1 ≤ x < 2
0.33 2 ≤ x < 3
0.69 3 ≤ x < 4
0.92 4 ≤ x < 5
0.99 5 ≤ x < 6
1 6 ≤ x
Calculate the following probabilities directly from the cdf
(a) p(2), that is, P(X = 2) (b) P(X > 3) (c)P(2 ≤ X ≤ 5) (d)P(2 < X < 5)

Answers

(a) p(2), that is, P(X = 2)The cdf is given by: F(x) = 0 x < 00.06 0 ≤ x < 10.16 1 ≤ x < 20.33 2 ≤ x < 30.69 3 ≤ x < 40.92 4 ≤ x < 50.99 5 ≤ x < 61 6 ≤ x

The probability mass function p(x) can be derived from the cdf by taking differences:

p(x) = F(x) − F(x-1)Thus the probability mass function p(x) is as follows: p(x) = 0.06  x = 10.1  x = 20.17 x = 30.36  x = 40.23 x = 50.07 x = 60.01 x = 6The probability P(X = 2) can be found as follows: P(X = 2) = p(2) = 0.17(b) P(X > 3)The probability can be found as follows: P(X > 3) = P(4 ≤ X) = 1 - P(X < 4) = 1 - F(3) = 1 - 0.33 = 0.67(c) P(2 ≤ X ≤ 5)The probability can be found as follows: P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.99 - 0.1 = 0.89(d) P(2 < X < 5)

The probability can be found as follows: P(2 < X < 5) = F(4) - F(2) = 0.92 - 0.17 = 0.75.

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Two quantities, x and y, are directly proportional. If x is doubled, what happens to y? clear check it is multiplied by 4. It is multiplied by 12. It depends on the starting value of x. It is doubled.

Answers

The two quantities x and y, are directly proportional. If x is doubled, then value of y will also be doubled.

Define the term directly proportional?

If two quantities become directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage.

The relationship between two values where their ratio equals a constant number is known as a direct proportion and direct variation. It is symbolized by the proportional sign (∝). Since the other variable is reversed in this case, the inversely proportional relationship is really represented by the same symbol.

For the given situation;

x and y are in the direct proportional relation.

Thus,

x ∝ y

Thus,

x = k y

k = proportionality constant.

Thus,

multiplying both side by 2

2 x = 2 k y

Y also becomes twice .

If x is multiplied by 4 then,

4 x = 4 k y

y also get 4 times.

Thus, if x is doubled, then value of y will also be doubled and if x get 4 timed y also become 4 times.

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how many ways can marie choose 3 pizza toppings from a menu of 17 toppings if each topping can only be chosen once?

Answers

There are 680 ways can Marie choose 3 pizza toppings from a menu of 17 toppings if each topping can only be chosen once.

We have to given that;

Marie choose 3 pizza toppings from a menu of 17 toppings.

Hence, To find ways can Marie choose 3 pizza toppings from a menu of 17 toppings if each topping can only be chosen once,

We can formulate;

⇒ ¹⁷C₃

⇒ 17! / 3! 14!

⇒ 17 × 16 × 15 / 6

⇒ 680

Thus, There are 680 ways can Marie choose 3 pizza toppings from a menu of 17 toppings if each topping can only be chosen once.

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on a necklace two-thirds of the bees are blue of the blue beads 1/4 or oval shaped what fraction of the necklace is made up of blue ovals

Answers

on a necklace two-thirds of the bees are blue of the blue beads 1/4 or oval shaped what fraction of the necklace is made up of blue ovals ​

we have that

2/3 ------> blue

1/4(2/3)=2/12-1/6

answer is 1/6

Joel has a goal to practice is clarinet for 4 1/2 hours per week the list below shows the number of hours Chihuahuas practice so far this week Monday 1 1/2 hours Wednesday 11

Answers

Complete question:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal

Answer: 3/4 hours

Step-by-step explanation:

Target hours = 4 1/2 hours = 9/2 hours

Number of hours so far :

(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours

Total so far :

L. C. M of denominator = 4

(6 + 5 + 4) /4 = 15/4

Number of hours left to meet his target equals :

Target hours - total so far

( 9/2 - 15/4)

L. C. M of denominator = 4

(18 - 15) / 4 = 3/4 hours

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Other Questions
albinism is an autosomal (not sex-linked) recessive trait where the affected individual lacks melanin pigmentation. a man and woman are both of normal pigmentation and have one child out of three who is albino. what are the genotypes of the albino child's parents? What score must a learner earn on the ACT composite test in order for the score to be at the 87.49th percentile? Round up to the nearest whole number.Many students take standardized tests for college applications. They are called standardized tests because they are scored so the population of student scores for any one particular test follows a normal distribution. The most common test are the SAT and the ACT.Suppose the mean and standard deviation for the ACT composite score, the SAT critical reading score, and the SAT mathematics score for the year 2017 are as follows:For the ACT, the mean composite score was 21.0 with a standard deviation of 5.2.For the SAT critical reading score, the mean was 501 with a standard deviation of 112.For the SAT mathematics score, the mean was 516 with a standard deviation of 116 a. 32b. 43c. 27d. 19 Give examples of potential sources of inter-individual differences in functions of organelles/cells/tissues/organs.Name 2 major factors in how the organelle/cell/tissue/organ functions can be very different between 2 different, unrelated people. what is the value of m in the following equation?104=13m Which facts about yeoman farmers does this passage discuss? Check all that apply. The manufacturer of a DVD player has found the revenue R (in dollars) is R(p) = -4p + 1700p,when the unit price is p dollars. What is the maximum revenue to the nearest whole dollar?a. $722,500c. $180,625b. $1,445,000d. $361,250 Simplify this expression.1/4 + 4/5 (3/4 x - 1 1/9). my grandpa has 10 pieces of art, including 3 prints by escher. if he hangs the pieces of art in a row in a random order, what is the probability that all three pieces by escher will be placed consecutively? Brainliest if correct What advantages did political stability bring to argentina, as opposed to less stable nations in latin america? select three choices. increased imports population growth increased exports new infrastructure european aid Explain why the science of bite mark analysis IS or IS NOT as exact as other types of forensic science. Please show work on a paper and upload it need it ASAPPP f the number 85 is removed from a finite collection of numbers, the collections averagedecreases by 1.If the number 74 is removed from the remaining collection, the collections average does notchange.How many numbers were in the original collection? If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. If you reverse the digits in the two-digit number, the new number is 18 more than the sum of its two digits. What is the original number?A.42B.24C.64D.46E.36 In Excel, if a code for a book is in cell C5 and we want to find that code and display the title of the book from column B of the data set (BookData), the following VLOOKUP could be used:=VLOOKUP(C5, BookData, B, True)Group of answer choicesA.TrueB.False the spectrum of an active galaxy is well described by a blackbody curve. TRUE/FALSE what feature of the inca empire made it easier for the spanish to conquer it?a. a network of roads that connected the empireb. vast resources of gold and silverc. its sickly emperord. its hot and dusty climate Is 15 a repeating decimal Match the following toxicity symptoms with the mineral with which they are associated.Iron according to the text, which of the following characteristics may provide the most common bond between film and music?