Given f(x)=x²-3x+ 3, find the value(s) for x such that f(x) = 13
The solution set is

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:

A to B: 4

B to A: 1/4

hi

with " x' a number then  :  

6 -9X

Answer:

1/6 is greater than 0.16

Step-by-step explanation:

0.16 as a fraction is 4/25

4/25 < 1/6

If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11

Let the given number be x,

the number, x is added with 2 and then it is tripled which means       (x + 2)*3 is equal to five less than two times of that number which is 2x - 5

3(x + 2) = 2x - 5

3x + 6 = 2x - 5

3x - 2x = - 5 + (-6)

x = - 11

Therefore, If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11

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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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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.

Answer:

See below

Step-by-step explanation:

Expand to get    x^2 - 8x + 40 = 0

  a = 1      b = -8    c = 40

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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Answer: 6

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

The turning point is the point where the function changes its slope for the given mode function f(x)=|x|+4 the turning point is at (0,4) so option (B) will be correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

Given the mode function,

f(x)=|x|+4

For x < 0 the function f(x) will be

f(x) = -x + 4

For x > 0 the function f(x) will be

f(x) = x + 4

Now,

Slope at x < 0 → f'(x) = -1

Slope at x > 0 → f'(x) = +1

Since the slope is changing at x = 0 there fore x = 0 will be the turning point of the graph.

Hence "The turning point of the given mode function f(x)=|x|+4 will be at x = 0".

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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:

6

Step-by-step explanation:

There are six teaspoons in one fluid ounce - lots of conversion sites out there to get more info if needed.

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: - 23

Step-by-step explanation:

Hope this helps!

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

Hope this helped! ^^

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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Answer:

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

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

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:

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).

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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[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!

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

Step-by-step explanation:

4 minus 2 equals 2

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:

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:

Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.

This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:

It asks the proportion of players in the sample with scores that are less than 2300.

An histogram is a graph that shows the number of times each element of x was observed.

Above, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:

p = 45/50 = 0.9.

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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