jack graphs how far he plans ton bike over a 3-day charity ride find the slope of the line

Answer:

Banks charge fees to help make a profit.

Step-by-step explanation:

Bank fees allow financial institutions to recoup operating expenses. Banks also make money on loans, via interest and other fees.

(A) is false. By symmetry,

[tex]\displaystyle f(x) = \int_{-x}^x (|t|_t^2) e^{-t^2} \, dt = 2 \int_0^x (t-t^2) e^{-t^2} \, dt[/tex]

where [tex]|t|=t[/tex] since [tex]x>0[/tex]. Substitute [tex]s=t^2[/tex] to get the equivalent integral,

[tex]\displaystyle f(x) = \int_0^{x^2} (1 - \sqrt s) e^{-s} \, ds[/tex]

Then

[tex]\displaystyle f(x) + g(x) = \int_0^{x^2} e^{-s} \, ds[/tex]

[tex]\displaystyle f(\sqrt{\ln(3)}) + g(\sqrt{\ln(3)}) = \int_0^{\ln(3)} e^{-s} \, ds = \frac23 \neq \frac13[/tex]

(B) is false. Note that [tex]1+\alpha x[/tex] is linear so its derivative is the constant [tex]\alpha[/tex] at every point. We then have

[tex]{\psi_1}'(\alpha) = -e^{-\alpha}+1 = \alpha \implies 1-\alpha = e^{-\alpha}[/tex]

But this has no solutions, since the left side is negative for [tex]\alpha>1[/tex] and the right side is positive for all [tex]\alpha[/tex].

(C) is true. By the same reasoning as in (B), the line [tex]2x(\psi_1(\beta)-1)[/tex] has constant derivative, [tex]2\psi_1(\beta)-2 = 2e^{-\beta+2\beta-2[/tex]. Then

[tex]{\psi_2}'(\beta) = 2\beta-2+2e^{-\beta} = 2e^{-\beta}+2\beta-2[/tex]

holds for all values of [tex]\beta[/tex].

(D) is false. We use the first derivative test. By the fundamental theorem of calculus,

[tex]\displaystyle f(x) = 2 \int_0^x (t-t^2)e^{-t^2}\,dt \implies f'(x) = 2(x-x^2)e^{-x^2}[/tex]

Solve for the critical points.

[tex]f'(x) = 0 \implies x-x^2 = 0 \implies x = 0 \text{ or } x = 1[/tex]

[tex]e^{-x^2}>0[/tex] for all [tex]x[/tex], so the sign of [tex]f'[/tex] depends on the sign of [tex]x-x^2[/tex]. It's easy to see [tex]f'>0[/tex] for [tex]x\in(0,1)[/tex] and [tex]f'<0[/tex] for [tex]x\in\left(0,\frac32\right)[/tex]

The regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

A polygon is a two-dimensional geometric shape having a finite number of sides. Single-direction segments are connected end to end to make a closed shape on the sides or edges of polygons. The locations where two line segments converge to construct an angle are referred to as vertices or corners.

It is given that:

The pentagon has five sides.

As we know, the standard pentagon has five vertices and internal angles that are each 72 degrees. A regular pentagon also possesses rotational symmetry.

The angles are 72°.144°,216°, and 288°.

Thus, the regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

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Answer:

Step-by-step explanation:

Newton’s law of cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small.

Definition: According to Newton’s law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.

Answer:

Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy. Since it is a first-order process, each radioactive species is characterized by its own half-life, the length of time in which an initially very large number of such nuclei will have decayed to only half the original number.

Step-by-step explanation:

Answer:

17.5 inches

Step-by-step explanation:

Let the length of the shorter piece be x

Shorter piece + Longer piece = Whole string

x + (x + 7) = 42

x + x + 7 = 42

Both sides minus 7 to remove the 7 from the left side of the equation.

2x + 7 - 7 = 42 - 7

2x = 35

x = 17.5 inches

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The arrangement is as follows 107,568 ; 107,658 ; 108,567

Ascending order is an arrangement from smallest to largest value.

Given:

108,567; 107,658; and 107,568

We have to arrange these numbers from least to greatest

smallest number = 107,568

largest number = 108,567

Hence, the arrangement is 107,568 ; 107,658 ; 108,567

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Answer: 4/15

Step-by-step explanation:

3 hours=

3*60 minutes=180 minutes

48:180=

(24*2):(90*2)=

(12*2*2):(45*2*2)=

(4*3*2*2):(15*3*2*2)=4/15

Answer: It can.

Step-by-step explanation:

If an 8 oz. cup of juice cost $1.20 and a 12 oz. cup of juice cost $1.44, there is a $0.24 difference between the money and cups of juice in ounces. If there were to be a constant rate of change, a 16 oz. cup of juice MUST cost $1.68

No, the relationship between cost and ounces of juice cannot be described by a constant rate.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Cost of 8 ounce juice= $1.20

Cost of 12 ounce juice= $1.44

Now,

If the relationship between cost and ounces of juice was described by a constant rate, then the cost per ounce would be the same for both the 8-ounce cup and the 12-ounce cup. However, we can see that the cost per ounce is different for each cup:

For the 8-ounce cup: cost per ounce = $1.20 / 8 ounces = $0.15 per ounce

For the 12-ounce cup: cost per ounce = $1.44 / 12 ounces = $0.12 per ounce

Therefore, by algebra the cost per ounce is different for each cup, the relationship between cost and ounces of juice cannot be described by a constant rate.

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Answer: 39

Step-by-step explanation: 15 is the number of movies he has already. The t in the formula stands for months. So simply plug in 8 for t because we want to know how much has has after 8 months

15+3(8)

15+24

=39

If the reading on a mercury manometer at 25 C is 56.38 cm the local acceleration of gravity is 9.832m.s^-2 atmospheric pressure is 101.78kpa The absolute pressure in kpa being measured is: 176.803kPa.

Using this formula

Pabs=Pg+Patm

Where:

Pabs= Absolute pressure.

Patm=Atmospheric pressure

ρm=Density of mercury

g=Acceleration of gravity

h=Reading on a mercury manometer

Let plug in  the formula

Pabs=101.78×10³Pa+( 13.534×10³kg/m×9.832 m/s²×0.5638 m.

Pabs=101.78×10³Pa+75.023×10³kg/m.s²

Pabs=101.78×10³Pa+75.023×10³Pa

Pabs=176.803×10³Pa

Pabs=176.803kPa

Therefore If the reading on a mercury manometer at 25 C is 56.38 cm the local acceleration of gravity is 9.832m.s^-2 atmospheric pressure is 101.78kpa The absolute pressure in kpa being measured is: 176.803kPa.

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Yes , the equation y =8ˣ  defines y as a function of x.

Yes, because to fulfill the condition of an equation to be a function, a particular value of x must produce only one value of y and y =8ˣ fulfills the condition. This can be also tested using horizontal line test, which only cuts the graph at one point only,

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Answer:

See below

Step-by-step explanation:

Expand to get    x^2 - 8x + 40 = 0

  a = 1      b = -8    c = 40

Answer:

0.275 lb

Step-by-step explanation:

Use a calculator to divide 11 by 40.

11/40 = 0.275

Answer:

0.275 pounds

Step-by-step explanation:

divide 11 (numerator) by 40 (denominator).

Answer:

81/730

Step-by-step explanation:

The chance of picking a day forecasted to have no rain is 45/365.

There is a 90% chance it actually rains on this day, so the probability is

[tex](45/365)(0.9)=81/730[/tex]

Answer:

$187.5

Step-by-step explanation:

39 (4) + 0.09 (350)

156 + 31.5

$187.5

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Answer:

$187.5

Step-by-step explanation:

You need to multiply the daily cost by the days. In this case, 39*4 = 156. Then, we can get the cost for the miles driven, being 0.09*350 = 31.5.

We can now add the two numbers together:

156 + 31.5 = $187.5

If the point N lying on the Line segment MP, divides MP such that the ratio of MN to NP is 6 to 1, and the coordinates of M(-13, 20) and P(1-1), then the coordinates of "N" is

As per the question statement, N lying on the Line segment MP, divides MP such that the ratio of MN to NP is 6 to 1.

We are required to find out the coordinates of "N".

To solve this question, we need to know the formula to calculate the coordinates of a point (Say "c") that divides a line segment AB in the ratio of (m:n).

The formula goes as:

Abscissa of c [tex](x_{3})=\frac{mx_{2}-nx_{1} }{m-n}[/tex]

and, Ordinate of c [tex](y_{3})=\frac{my_{2}-ny_{1} }{m-n}[/tex]

where, [tex](x_{1}, y_{1})[/tex] are the coordinates of point A, while

[tex](x_{2}, y_{2})[/tex] are the coordinates of point B.

Using our given data in the above formulae, we get

Abscissa of N =  [tex]\frac{(6*1)-[1*(-13)]}{6-1} =\frac{6-(-13)}{5}=\frac{6+13}{5}=\frac{19}{5}[/tex]

And, Ordinate of N = [tex]\frac{[6*(-1)-(1*20)}{6-1} =\frac{(-6)-20}{5}=\frac{-(20+6)}{5}=\frac{-26}{5}[/tex].

Hence, our concerned point N = [tex](\frac{19}{5}, \frac{-26}{5})\\[/tex].

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hi

with " x' a number then  :  

6 -9X

Answer: [tex]\boxed{y=\frac{2}{5} x-7}\ as\ an\ example[/tex]

Step-by-step explanation:

Find the slope-intercept form:

[tex]2x-5y=30\\\\-5y=-2x+30\\\\y=\frac{-2x+30}{-5} \\\\y=\frac{2}{5} x-6[/tex]

Therefore the slope is 2/5

An example of a line parallel to this line is

[tex]y=\frac{2}{5} x-7[/tex]

Answer:

it's easy if you set your mind to it, think about it angain

[tex]\frac{12}{2} (x+6)=2x-9[/tex]

[tex]6x+36=2x-9[/tex]

[tex]4x = -45[/tex]

[tex]x = -\frac{45}{4}[/tex]

Hope that I helped you!

Concluding that m∠ J K L = m ∠ Q R S is an example of: substitution property of equality

The substitution property of equality states that 'If a variable x is equal to another variable y, then x can be substituted in place of y in any equation/expression and y can be substituted in place of x in any equation/expression.

Now, we are told that m ∠ J K L = m ∠ X Y Z and m ∠ X Y Z = m ∠ Q R S.

Thus, concluding that m ∠ J K L = m ∠ Q R S is an example of: substitution property of equality

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Answer: x-2=2 (x=4)

Step-by-step explanation:

4 minus 2 equals 2

Answer: - 23

Step-by-step explanation:

Hope this helps!

Answer:

A to B: 4

B to A: 1/4

Answer: 6

Step-by-step explanation: 6 because then he would owe his parents 49 dollars

Answer:

1/6 is greater than 0.16

Step-by-step explanation:

0.16 as a fraction is 4/25

4/25 < 1/6

The 5.1 cubic ft of water weighs 317.77 pounds

The weight of 5.1 cubic ft of water in tons is 0.16 tons

From the question, we are to calculate how much 5.1 cubic ft of water weigh in pounds

From the given information,

"one cubic foot holds 7.48 gallons of water"

Therefore,

5.1 cubic ft of water = 5.1 × 7.48 gallons of water

= 38.148 gallons of water

Also,

"one gallon of water 8.33 pounds"

That  is,

38.148 gallons of water = 38.148 × 8.33 pounds

= 317.77 pounds

Thus, 5.1 cubic ft of water weigh 317.77 pounds

For the weight in tons

NOTE: 1 pounds = 0.0005 tons

∴ 317.77 pounds = 0.0005 × 317.77 tons

= 0.158886 tons

≈ 0.16 tons

Hence, the weight of 5.1 cubic ft of water in tons is 0.16 tons

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