Tre'Quan reads at a constant rate that lets him complete 4 chapters each week. He starts reading a book with 42 chapters. Which equation below models the number of chapters that he has left to read , y, after x days?

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

I believe the answer is 10/3

Step-by-step explanation:

x + 5/3 = 5

    -5/3    -5/3

x = 10/3

According to the given statement The faster computer will take 2 minutes to send out the company's email on its own.

To solve this problem, let's assign variables to the given information. Let "x" represent the time it takes the slower computer to send out the company's email on its own, and let "y" represent the time it takes both computers working together to send out the email.

According to the problem, it takes two computers "y" minutes to send out the email, and it takes the slower computer "x" minutes to do the job on its own.

Since the two computers are working together, we can set up the following equation: 1/x + 1/y = 1/t, where "t" represents the time it takes the faster computer to do the job on its own.

Substituting the given values into the equation, we have: 1/x + 1/y = 1/2y

To find the value of "t", we need to solve for "y" in terms of "x". Multiply both sides of the equation by 2xy to eliminate the denominators:

2y + 2x = xy

Rearranging the equation, we get:

xy - 2y - 2x = 0

Now, let's factor the equation:

y(x - 2) - 2(x - 2) = 0

Simplifying further:

(x - 2)(y - 2) = 0

Since we are looking for the time it takes the faster computer to do the job on its own, we disregard the solution (y - 2) = 0, which gives us y = 2.

Therefore, the faster computer will take 2 minutes to send out the company's email on its own.

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Answer:

aaalot I'm guessing I'm stu.pid

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

a = 525  & b  = 475

525² - 475² = (525 + 475) (525 - 475)

                   =1000 * 50

                   = 50,000

The value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

The expression given is:

(525)² - (475)²

The above expression looks similar to the expression (a²- b²).

The simplified form of the expression (a²- b²) is (a+b) (a-b).

So, (525)² - (475)² can be written as:

(525)² - (475)² = (525+475) (525-475)

(525)² - (475)² = 1000 * 50

(525)² - (475)² = 50000

Therefore, the value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

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g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

The "g value" or "g-force" is a measure of the acceleration or deceleration experienced by an object. It is defined as the ratio of the acceleration of the object to the acceleration due to Earth's gravity, which is approximately 9.8 m/s^2.

To calculate the g value of an object, you can use the following formula:

g value = acceleration of the object / acceleration due to gravity

For example, if an object experiences an acceleration of 19.6 m/s^2, the g value can be calculated as follows:

g value = 19.6 m/s^2 / 9.8 m/s^2 = 2 g

This means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

It's important to note that the g value is a unitless quantity, so the units of the acceleration of the object and the acceleration due to gravity must be the same in order to obtain a correct result.

Therefore,  g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

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Answer:

The domain is {0.5, 1, 1.5, 2}

The range is {1.9, 3.8, 5.7, 7.6}

Step-by-step explanation:

The cost, y is in dollars, and x in pounds of almonds is shown in the  table.

x (pounds)                 y ($)

0.5                               1.9

1                                   3.80

1.5                                5.70

2                                  7.60

The grocery store sells almond at $3.80 per pound, the relation between y and x is given by the function:

y = 3.8x

The x values are the independent variables and they serve as the input of the function while the y values are the dependent variables (dependent on x) and the serve as the output of the function.

The domain consist of input values which is the x values. The domain is {0.5, 1, 1.5, 2}

The range consists of all output values i.e the y values. The range is {1.9, 3.8, 5.7, 7.6}

Any number of pounds of almonds can be purchased, including partial amounts, so the relation described in the table is continuous.

Because x can be any positive number of pounds, the domain of the relation is x ≥ 0, or x-values greater than or equal to 0.

Because y can be any positive dollar amount, the range of the relation is y ≥ 0, or y-values greater than or equal to 0.

Answer:

19.33 ft

Step-by-step explanation:

This analogy has to do with Pythagoras theorem.

We're given our angle of elevation to be 46°, and told that the height of the building to be 20 ft. Using Pythagoras theorem, we know that the given height is opposite to the angle of elevation, and thus, the required distance is adjacent to it.

Sin 46° = opp / hyp

Sin 46° = 20 / hyp

hyp = 20 / sin 46

hyp = 20 / 0.719

hyp = 27.82 ft

We've gotten the length of the ladder, our hypotenuse, to be 27.82. It's tied length we'd then use top find the needed length.

Cos 46° = adj / hyp

Cos 46° = adj / 27.82

adj = 27.82 * Cos 46

adj = 27.82 * 0.695

adj = 19.33 ft

Therefore, the required length is approximately equal to 19.33 ft

Answer:

n+14

Step-by-step explanation:

you just add 14 to n and since you can't put the n and the 14 together it's just n+14

Answer:

$13.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total price with taxes is going to be 13.50

For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.

Now, According to the question:

For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.

One tablespoon or less of a soft food, like whipped cream or sour cream, is typically referred to as a "dollop."

Furthermore, a pinch is, as its name suggests, the quantity of an ingredient (such as salt or a dry herb) that you can hold between your thumb and fingers. Additionally, there is a "healthier-sized" pinch that involves your thumb, forefinger, and middle finger, known as a "three-finger pinch." It probably equals between a quarter and an eighth of a teaspoon in terms of volume.

The difference is one of distance...

100 yards = 300 feet

100 meters = 328.0839895 feet

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Answer:

A. X-y=6 and x=y+6 I'm pretty sure

Answer:

c

Step-by-step explanation:

Answer:

(- 7, - 4 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the turning point is

x = - \(\frac{b}{2a}\)

y = x² + 14x + 45 ← is in standard form

with a = 1, b = 14 , then

x = - \(\frac{14}{2}\) = - 7

Substitute x = - 7 into the equation and evaluate for y

y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4

coordinates of turning point = (- 7, - 4 )

The statement "R = -12K" for the curvature scalar is incorrect; the correct relationship is R = (4/5)K.

To show that for the curvature scalar R = -12K, we need to compute the curvature scalar R using the given expression for Rijkl = K(gilgkm - gimgkl) and compare it to -12K.

The curvature scalar R is defined as R = gijRij, where gij represents the components of the metric tensor.

Let's calculate R:

R = gijRij = gijRijklgkl

Using the given expression for Rijkl, we can substitute it into the equation:

R = gijK(gilgkm - gimgkl)gkl

Expanding the equation further:

R = Kgijgilgkmgkl - Kgijgimgklgkl

Since gijgkl = δik (Kronecker delta), and summing over the repeated indices i and k, we obtain:

R = Kgijgjlgll - Kgijgjll

The first term Kgijgjlgll represents the trace of the metric tensor, which is the dimension of the Riemannian space. Denoting it as n, we have:

R = Kn - Kgijgjll

The second term is the contraction of the metric tensor, which represents the Ricci curvature tensor. Denoting it as Rij, we have:

R = Kn - Rijgij

Finally, the curvature scalar R can be expressed as:

R = Kn - Rijgij

Given that Rijkl = K(gilgkm - gimgkl), we have:

R = Kn - Rijgij = Kn - Rgijgij

Since the metric tensor satisfies gijgij = n, we can substitute this into the equation:

R = Kn - Rngij = Kn - Rn = n(K - R)

Substituting n = 4 (since we are considering a four-dimensional space), we have:

R = 4(K - R)

Rearranging the equation, we get:

R + 4R = 4K

Combining like terms:

5R = 4K

Dividing both sides by 5:

R = (4/5)K

Thus, we have shown that for the curvature scalar R, we have R = (4/5)K, not R = -12K as stated initially.

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Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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Answer: 96 books.

Step-by-step explanation:

48x2

The strain at the tension bars is 0.000908.

So, the strain at the tension bars can be calculated as:

$\epsilon =\frac{181.52}{200\times10^3}=0.000908$

Given data; b=200mm, h=400mm, cc=40mm, stirrups=10mm, fc'=32Mpa, fy=415

Mpa, 3-32mm diameter bars1) Calculation of depth of neutral axis

As we know that;$\frac{c}{y}=\frac{\sigma_{cbc}}{\sigma_{steel}}$

Putting all the values;$\frac{c}{y}

=\(\frac{0.446}{\frac{415}{200}}$$\frac{c}{y}=0.021$\)

Now, we know that;$\frac{c}{y}+\frac{y}{2h}=0.5$

Solving above equation we get;$y=0.375\text{ }m$

So, the depth of the neutral axis is $0.375\text{ }m$2)

Calculation of strain at the tension barsWe know that;

\($\frac{\sigma_{cbc}}{\sigma_{steel}}=\frac{c}{y}$\)

Putting values;\($\frac{\sigma_{cbc}}{415}=\frac{0.446}{0.375}$\)

Solving we get;$\sigma_{cbc}=181.52\text{ }MPa$

We know that;Strain = $\frac{Stress}{E}$

Where;E is the modulus of elasticity of steel.

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Answer:

250,000 hours

Step-by-step explanation:

if 2 amoeba takes half an hour then 4 amoeba will take 1 full hour then use 4 to divide 1 million.

If u were to use 2 amoeba to half an hour you will have to divide 1 million into two which is 500,00

The rate at which the side of the cube changes when its length is 6 m is ds/dt = 1/27 m/sec.

For the first question:

The linear approximation of a function f(x) at a point a is given by L(x) = f(a) + f'(a)(x-a), where f'(a) is the derivative of the function at the point a.

In this case, f(x) = 4x^3 + 4x^2 + 3x - 1 and a = -1.

Taking the derivative of f(x), we get f'(x) = 12x^2 + 8x + 3.

Evaluating f'(-1), we get f'(-1) = 12(-1)^2 + 8(-1) + 3 = 7.

So the linear approximation L(x) of f(x) at a = -1 is given by L(x) = f(-1) + f'(-1)(x+1) = -2 + 7(x+1) = 7x + 5.

Therefore, the linear approximation of f(x) at a = -1 is L(x) = 7x + 5.

For the second question:

The volume V of a cube with side length s is given by V = s^3.

Given that dV/dt = 4 m^3/sec, we want to find ds/dt when s = 6 m.

Taking the derivative of V with respect to t, we get dV/dt = 3s^2(ds/dt).

Substituting dV/dt = 4 and s = 6, we get:

4 = 3(6^2)(ds/dt)

Solving for ds/dt, we get:

ds/dt = 4/(3(6^2)) = 0.037 m/sec (in fractional form).

Therefore, the rate at which the side of the cube changes when its length is 6 m is ds/dt = 0.037 m/sec.

For the first part of your question, to find the linear approximation L(x) of the function f(x) = 4x³ + 4x² + 3x – 1 at a = -1, we need to evaluate f(-1) and f'(-1).

First, find the derivative of f(x): f'(x) = 12x² + 8x + 3.

Now, evaluate f(-1) and f'(-1):
f(-1) = 4(-1)³ + 4(-1)² + 3(-1) - 1 = -2
f'(-1) = 12(-1)² + 8(-1) + 3 = 7

The linear approximation L(x) is given by L(x) = f(a) + f'(a)(x-a). Therefore, L(x) = -2 + 7(x - (-1)) or L(x) = -2 + 7(x + 1).

For the second part of your question, the volume V of a cube is given by V = s³, where s is the side length. Given dV/dt = 4 m³/sec, we want to find ds/dt when s = 6 m.

First, differentiate V with respect to time t:
dV/dt = 3s² ds/dt.

Now, substitute the given values:
4 = 3(6²) ds/dt.

Solve for ds/dt:
ds/dt = 4 / (3 × 36) = 1/27.

So the rate at which the side of the cube changes when its length is 6 m is ds/dt = 1/27 m/sec.

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Answer:

y = -4/3x -2

Step-by-step explanation:

Slope intercept for is y = mx+b where m is the slope and b is the y intercept

4x+3y=-6

We need to solve for y

Subtract 4x from each side

4x-4x+3y=-4x-6

3y = -4x-6

Divide each side by 3

3y/3 = -4x/3 -6/3

y = -4/3x -2

The slope is 4/3 and the y intercept is -2

Using proportions, it is found that:

A proportion is a fraction of a total amount.

In the sample, the most voted options were checking out books or studying, hence:

The most popular choice likely be either checking out books or studying.

Out of the 60 students, 10 = 1/6 are doing research, hence out of 540:

\(\frac{1}{6} \times 540 = 90\)

Based on the sample, about 90 students will vote for doing research.

21 out of 60 students voted for checking out books, hence:

21/60 = 0.35 = 35%.

Based on the sample, about 35% of students will for checking out books.

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Answer: Look at the attachment

Checking out books or studying

90

35%

Step-by-step explanation:

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Answer:

$5466.36

Step-by-step explanation:

This question is pretty cut and dry

just plug in the numbers

\(3000e^{5*.12}\\3000e^{.6}\\5466.356401\\5466.36\)

Answer:

[A] ((-2,5), (7, 5), (4, 0), (3, 1), (0,6))

Step-by-step explanation:

Given:

Which of the relations given by the following sets of ordered pairs is a function?

A. ((-2,5), (7, 5), (4, 0), (3, 1), (0,6))

B. ((1,2), (2, 3), (3,4), (2, 1), (1, 0))

C. ((2-8), (6, 4), (-3, 9), (2, 0), (5, 3))

D. ((1,3), (1, 1), (1, 1), (1,3), (1,5)}

Solve:

Knowing that; In order to know if a set of ordered pairs is a function or not we must see that if every x value have one or more than one y value that a function. If there is more than one same x value then it isn't a function.

Summary:

x value can't be duplicate but y can - in a working function

Hence, based on what we see in the answer choices;

[A] ((-2,5), (7, 5), (4, 0), (3, 1), (0,6)) is a function. Due to none repeat x values.

[B]((1,2), (2, 3), (3,4), (2, 1), (1, 0)) isn't a function. Due to repeat x -values (1 and 2)

[C] ((2-8), (6, 4), (-3, 9), (2, 0), (5, 3)) isn't a function. Due to repeat x-values (2)

[D]  ((1,3), (1, 1), (1, 1), (1,3), (1,5)} isn't a function. Due to repeat x-values (1)

RevyBreeze

Answer:

F

Step-by-step explanation:

b = 3 5/8 × x < -- Times

x is a variable that uses for the representation of the number of pies

Example : 3 pies there

b = 3 5/8 × 3

therefore b = 5.625 pounds

Answer:

7

Explanation:

Step 1. The first step is to make a diagram of the points and connect them to form the triangles.

In the following diagram, we have the original points FGH in BLUE and the image points F'G'H' in RED:

Step 2. Compare the length of two corresponding sides.

Let's take the base of each triangle.

The base of the red triangle and the base of the blue triangle is shown in the image:

Step 3. To find the scale factor, divide the new length over the original length:

The result is:

Answer:

7

Answer:

2630

Step-by-step explanation:

5.6*(10^6) - 340,000 / 2*(10^3)

5,600,000 - 340,000 / 2,000

5,260,000 / 2000

= 2630 or 2.63*(10^3)

Answer:

Expanded form of the answer is 2630

i cant do the other part (show your work) but this is the answer.

Answer:

50

Step-by-step explanation:

2/100 of X=1

Multiply both sides by 100 to remove the hundred base

The resultant will be 2x=100

X= 50

Answer:

Step-by-step explanation:

A,because it goes diagonally which (with the fraction) means that the fraction should be equal to the problem

Answer:

A

Step-by-step explanation:

I believe this is the right answer becasue all the other lines and curved (not constant) and the other goes in different directions.