Is this a function or not

9514 1404 393

Answer:

  b.  [-9, ∞)

Step-by-step explanation:

The function is defined for the value x = -9, so the domain includes that value. The bracket for -9 will be a square bracket, since the value is included in the domain.

The bracket for infinity is always a round bracket.

The domain is ...

  [-9, ∞)

Answer:

1/4 of the pie remains

Step-by-step explanation:

family ate = 1/2

Paul ate = 1/4

1/2 + 1/4 = 3/4 eaten

so , 1/4 remains

Answer:

B. Lisa said she made a better rate of pay because her rate was $11.33 an hour.

Step-by-step explanation:

Lisa said she made a better rate of pay because her rate was $11.33 an hour.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

The composite function f · g(x) is:

Restrictions are:

and

Combination of the above gives us the domain:

Correct choice is D

1) The line integral value is : ∫F dr = 6

2) The line integral value is : ∫F dr = 6

3) The line integral value is : ∫F dr = 6

Here we are given:

\(F.dr = (3x + 2y)dx + (2x -2z)dy + (3x -2y)dz,\)

where\(\vec{F}\) is a conservative field

So,

f(x, y , z) = \(\int\limits (3x + 2y)dx + (2x -2z)dy + (3x -2y)dz,\)

f(x , y , z) = (3zx +2yx) + (2xy - 2zy) + (3xz - 2yz) + c(x , y , z)

\(f(x, y, z) = (6xz + 4xy - 4yz) + c(x, y, z)\)

Now substitute the values of x , y ,z ,

1)

Line segment from (0, 0 , 0) to (1,1 ,1)

∫F dr = f(1,1,1) - f(0,0,0)

= |6 + 4 - 4 |- |0 + 0 - 0|

∫F dr = 6

2)

Line segment from (0,0,0) to (0,0,1) to (1,1,1)

First we take (0,0,0) to (0,0,1)

\(\int _c \vec{F}.\vec{dr}=f(0,0,1)-f(0,0,0) =[6(0)(1)+4(0)(0)-4(0)(1)]-[6(0)(0)+4(0)(0)-4(0)(0)] =[0+0-0]-[0+0-0]\)

∫F dr = 0

\(\Rightarrow \int _{c}\vec{F}.\vec{dr}=0+6 [F.dr = 6\)

3)

Line segment from (0,0,0) to (1,0,0) to (1,1,0) to (1,1,1)

First we take (0,0,0) to (1,0,0)

\(\int _c \vec{F}.\vec{dr}=f(1,0,0)-f(0,0,0) =[6(1)(0)+4(1)(0)-4(0)(0)]-[6(0)(0)+4(0)(0)-4(0)(0)] =[0+0-0]-[0+0-0]\int _{c}\vec{F}.\vec{dr}=0\)

Next we take (1,0,0) to (1,1,0)

\(\int _c \vec{F}.\vec{dr}=f(1,1,0)-f(1,0,0) = [6(1)(0) + 4(1)(1) − 4(1)(0)] - [6(1)(0) + 4(1)(0) — 4(0)(0)] = [0+4-0] - [0+0-0]\int _{c}\vec{F}.\vec{dr}=4\)

Lastly we take (1,1,0) to (1,1,1)

\(F.dr = f(1,1,1) ƒ(1,1,0) = [6(1)(1) +4(1)(1) − 4(1)(1)] - [6(1)(0) + 4(1)(1) — 4(1)(0)] =[6+4-4]-[0+4-0]\int _{c}\vec{F}.\vec{dr}=2\)

Adding the three results we get

\(\Rightarrow \int _{c}\vec{F}.\vec{dr}=0+4+2\\\\\int\limits F.dr = 6\)

Therefore we see that the Line integral for the three cases comes out to be same between the initial and final points since it is independent of the path taken.

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Answer:

12c8/d2.....option 1.........

Answer: The actual height of the tower is 91m

\(\frac{14}{x}=\frac{2}{13} \\x=\frac{14\times13}{2} \\x=91 m\)

The actual height of the tower is 91 m.

An indication of the relationship between the distances on a map and the corresponding actual distances.

Given that, The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13 m.

Since, 2 cm = 13 m

1 cm = 13 /2 m

Therefore, 14 cm = 14 × 13/2 = 91 m

Hence, the actual height of the tower is 91 m.

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A variable without a clear operational definition can greatly impact the accuracy and reliability of statistics performed on it. To ensure accurate and meaningful results, it is important to have clear, well-defined variables in any research study.

The lack of a clear definition can lead to inconsistencies in data collection, making it difficult to accurately interpret and analyze the results.

Step 1: When a variable has no clear operational definition, researchers may measure or interpret it in different ways, leading to inconsistencies in data collection.

Step 2: These inconsistencies can affect the reliability and validity of the collected data, which in turn impacts the accuracy of the statistical analysis performed.

Step 3: As a result, the findings from such analyses may not accurately represent the true relationships or patterns within the sample or the population, leading to incorrect conclusions.

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Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

To calculate the gas mass produced, we can use Darcy's Law, which relates the flow of gas through a porous medium to the pressure gradient. The formula for Darcy's Law is:

Q = -k * A * (dP/dx)

Where:

Q is the flow rate (m^3/s)

k is the permeability of the medium (m^2)

A is the cross-sectional area (m^2)

dP/dx is the pressure gradient (Pa/m)

Given:

φ = 0.3

b = 100 m

αp​ = 4 × 10^(-9) Pa^(-1)

ρ = 0.1 hp​ (gas density)

Pressure head (initial) = 100 m

Pressure head (final) = 30 m

Area (A) = 10,000 m^2

First, we need to calculate the permeability (k) using the porosity (φ) and the compressibility (αp​) as follows:

k = φ² * αp​

k = 0.3² * (4 × 10^(-9) Pa^(-1))

k = 9 × 10^(-11) m^2

Next, we can calculate the pressure gradient (dP/dx) by subtracting the final pressure head from the initial pressure head and dividing it by the distance (b):

dP/dx = (Pressure head (final) - Pressure head (initial)) / b

dP/dx = (30 m - 100 m) / 100 m

dP/dx = -0.7 Pa/m

Now, we can calculate the flow rate (Q) using Darcy's Law:

Q = -k * A * (dP/dx)

Q = -9 × 10^(-11) m^2 * 10,000 m^2 * (-0.7 Pa/m)

Q = 6.3 × 10^(-4) m^3/s

Finally, we can calculate the gas mass (m) using the flow rate (Q) and the gas density (ρ):

m = Q * ρ

m = 6.3 × 10^(-4) m^3/s * 0.1 kg/m^3

m = 6.3 × 10^(-5) kg/s

Therefore, the gas mass produced when the pressure head is reduced from 100 m to 30 m over an area of 10,000 m^2 is approximately 6.3 × 10^(-5) kg/s.

To calculate the gas mass produced, Using Darcy's Law and the given values, we can determine the gas mass produced when the pressure head is reduced from 100 m to 30 m over an area of 10,000 m2.

The gas mass produced can be calculated by first determining the permeability (k) using the given values of porosity (φ), compressibility (αp), gas density (ρ), and thickness (b). With the obtained value of k, we can then use Darcy's Law to calculate the gas flow rate. However, since the time period is not specified, we cannot directly calculate the gas mass produced. The gas flow rate obtained from Darcy's Law represents the volume of gas flowing per unit time. To calculate the gas mass produced, we need to integrate the flow rate over time. Without the time component, we cannot determine the exact gas mass produced. Therefore, the calculation of the gas mass produced requires information about the time period or additional data.

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Answer:

C. 64°

Step-by-step explanation:

\({ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( \theta) = \frac{7}{16} }} \\ \\ { \tt{ \theta = { \cos }^{ - 1} ( \frac{7}{16} )}} \\ \\ { \tt{ \theta = 64 \degree}}\)

Answer:  Choice C) 64 degrees

Work Shown:

\(\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\theta) = \frac{7}{16}\\\\\cos(\theta) = 0.4375\\\\\theta = \cos^{-1}(0.4375)\\\\\theta \approx 64.0555^{\circ} \\\\\theta \approx 64^{\circ} \\\\\)

Note: some calculators will use the notation arccos in place of the \(\cos^{-1}\)

Answer:

A line that is perpendicular to y=2/5x-5 must have a slope of -5/2, but a line parallel to line y=5/2x+6 must have a slope of 5/2, and these slopes do not match up.

Explanation:

In order for a line to be parallel to another line, they must have the same slope. In order for a line to be perpendicular to another line, their slopes must be opposite reciprocals (meaning that when they are multiplied, the product is -1). From here you can find what slope the line must have to perpendicular or parallel to another line, and then you can see that the answers to not match up to be the same line!

Hope this helped :)

Answer: x = 55°

Step-by-step explanation:

    Since this is a triangle, we know that all angles will add up to 180°.

-> Vertical angles gives us one equal to 35°

-> Vertical angles also gives us one equal to x°

-> The box, showing this is a right triangle, represents 90°

180° - 90° - 35° = x

55° = x

x = 55°

Answer:

x = 55°

Step-by-step explanation:

A triangle's angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle.

So we are give 2 out of the 3 angles trhat sum up to 180

- its very clear there is a 90 degree angle indicated by the right angle

- due to vertical angle rule the opposite side of the 35 degree angle is also 35 degrees

90 + 35 + x = 180

 125 + x = 180

- 125         -125

x = 180 - 125

x = 55

due to the same logic as the 35 degree angle of opposite vertical angles and are thus congruent which means angle x is also 55°.

English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.

English workers have an absolute advantage in producing scones as they can produce 40 scones per hour,

while Scottish workers can only produce 20 scones per hour. On the other hand, Scottish workers have an absolute advantage in producing sweaters as they can produce 2 sweaters per hour, while English workers can only produce 1 sweater per hour.

Absolute advantage refers to the ability of a country or individual to produce a good or service more efficiently than another country or individual.

This means that the country or individual with the absolute advantage is able to produce the same good or service with fewer resources or in less time. In this case, each country has an absolute advantage in producing one of the goods, scones or sweaters.

Thus,English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.

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Answer:

1.

This should have a context but based on the answer options we can say that option B is the correct one.

In the function y = 2x + 10

2.

Translation left-right is displayed as:

Translation up-down is displayed as:

If we apply the above to the given function we have:

or

Answer:

..............

Step-by-step explanation:

150 cans

Answer:

90%

Step-by-step explanation:

300:3=100%

270:3=90%

The correct option is A, In slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) the equation is y= −5x + 12.

The given equation of the line is

10x + 2y = -2

On simplification we get

5x + y= -1 .............(1)

Now the equation of the line parallel to equation (1) is

5x + y =k ..............(2)

Now The equation (2) passes through the point (0,12)

So we get from equation (2)

(5 x 0) + 12 = k

= k = 12

Hence the equation (2) becomes

5x + y= 12

This equation can be rewritten as

y= −5x + 12

The slope-intercept form is a way of writing the equation of a line in two variables, typically represented as "y = mx + b," where "m" is the slope of the line and "b" is the y-intercept. The slope represents the steepness or incline of the line, and the y-intercept is the point where the line crosses the y-axis.

The slope is the change in the y-coordinate divided by the change in the x-coordinate, or rise over run. It tells us how much the y-value changes as the x-value increases. If the slope is positive, the line slopes upwards to the right, while a negative slope indicates a downward slope. The y-intercept is the value of y when x equals zero. It tells us where the line crosses the y-axis.

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Complete Question:-

A given line has the equation 10x+2y=−2 . What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?

a. y=−5x+12

b. 5x+y=12

c. y−12=5(x−0)

d. 5x+y=−1

If all else remains constant and the values of two variables move in the same direction it indicates a positive slope relationship.

If all else remains constant and the values of two variables move in the same direction, it indicates a positive slope relationship. This means that as one variable increases, the other variable also increases. Conversely, if the values of two variables move in opposite directions, it indicates a negative slope relationship where as one variable increases, the other variable decreases. An inverse slope relationship is when two variables have opposite relationships and do not move in the same direction.

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Answer:

9/1 = 0.9

2 = 2.0

3 1/10 = 3.1

10 = 100

Step-by-step explanation:

The statement "The graph οf \(y = ax^{2} + 1\) has its vertex at the οrigin" is never true.

A parabοla is a U-shaped curve that is defined by a quadratic equatiοn οf the fοrm \(y = ax^2 + bx + c\) , where a, b, and c are cοnstants. It is a type οf cοnic sectiοn, alοng with circles, ellipses, and hyperbοlas.

In a parabοla, the lοwest οr highest pοint οn the curve is called the vertex. If the parabοla οpens upward, the vertex is the lοwest pοint οn the curve, while if it οpens dοwnward, the vertex is the highest pοint. The line passing thrοugh the vertex and perpendicular tο the axis οf symmetry is called the axis οf the parabοla.

The statement is never true.

The vertex οf a parabοla represented by the equatiοn \(y = ax^{2} + bx + c\) is given by the pοint \((-b/2a, c - b^{2}/4a)\), which is nοt at the οrigin (0,0) unless b = 0 and c = 1. In the given equatiοn \(y = ax^{2} + 1\), b = 0 and c = 1, sο the vertex is lοcated at (0,1) and nοt at the οrigin.

Therefοre, the statement "The graph οf \(y = ax^{2} + 1\) has its vertex at the οrigin" is never true.

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Answer:

Using the difference of squares this can be rewritten as (y² + 10)(y² - 10).

Answer:

(y² + 10)(y² - 10)

Step-by-step explanation:

y^2=y^4

Answer:

B, D, E

Step-by-step explanation:

If a line is parallel to another line, then the slope has to be the same. Thus we first want to find the slope of the line given, by using the slope formula: m = (y_1 - y_0)/(x_1 - x_0): (2 - 4)/(-2-3) = 2/5

We proceed to find the slope of the following answer choices:

A. (-3-(-5))/(-7-(-2)) = -2/5

B. (-1-1)/(-6-(-1)) = 2/5

C. (5 - 0)/(2-0) = 5/2

D. (2-0)/(6-1) = 2/5

E. (2-0)/(8-3) = 2/5

Thus, we have B, D, E

Answer:

B, D, E On Edge

Step-by-step explanation:

edge22

Answer:

The slope is (4)  which means that the temperature (increases)  by (4) degrees every minute

Step-by-step explanation:

Answer:

yup right :)

Step-by-step explanation:

Answer: Your Correct

Step-by-step explanation:

Answer:

$105.  I don't know about how much the skateboard is but on an average skateboard yes it is enough.

Step-by-step explanation:

If you get $3 a week and you have lived 20 more weeks. You would multiply 3 by 20 and get $60. Then you would add $60 to $45 and get $105. The average skateboard costs $70. So yes, a skateboard could be bought for $105. Hope this helps! Have a great day!

$105.

45 + 3w gives the amount of money you save after w weeks. We need to find amount of money we have after 20 weeks.

In equation we have to arrange all variables on one side and constants on other side

To save for a skateboard, If you get $3 a week from your aunt and you have lived 20 more weeks.

We need to multiply 3 with 20 to get the amount for 20 weeks.

So 3*20=$60 for 20 weeks...(*)

and from given

The expression 45 + 3w gives the amount of money you save after w weeks.

$45+3W

=$45+$60 (From *)

=$105

Therefore $10 money is enough to buy the skateboard.

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Answer:

16y-6

Step-by-step explanation:

(3y-4)(2y+7)+11y-9

5y+3+11y-9

16y-6

Answer: D.   6y^2  +  24y  -  37

Step-by-step explanation:

i would but a homie is running on a flip phone hehe

jus use the distributive thing

Answer:

(2m^2-3)(m-1)

Step-by-step explanation:

2m^3-2m^2+3-3m

2m^3-2m^2-3m+3

2m^2(m-1)-3(m-1)

(2m^2-3)(m-1)

Answer:

(2m^2-3)(m-1)

Step-by-step explanation:

2m^3-2m^2+3-3m

=(2m^3-2m^2)+(3-3m)

=2m^2(m-1)+3(1-m)

=(m-1)(2m^2-3)

=(2m^2-3)(m-1)

Answer:

14

Step-by-step explanation:

Its pretty simple. You just have to multiply 7 and 2 to get the product of 14. Hopw this helps

Answer:

14 liters every week.

Step-by-step explanation:

There are 7 days in a week.

If he drank 2 liter every day, you could solve this the following ways...

2+2+2+2+2+2+2=14 because 2 liter every day for 7 days

7 x 2  because there are 7 days in a week, and he drank 2 liters a day, so 7 x 2 would work.

7 + 7 would also work.

Your welcome.

I really hope I helped.

Can I plz have brainliest please?

Answer:

well for starters

the answer you get when you factor it out is 3(x+3)(x+3)

i know that would mean x=-3 but i dont know how the big 3 would effect anything. hope this helps

Answer:

Step-by-step explanation:
I got you.

1.
The six-sided figure can be broken down into a rectangular prism with dimensions 35 x 20 x 30 and a right triangular pyramid with base 35 x 15 and height 30.

The rectangular prism has a total floor area of 35 x 20 = 700 square feet.

The right triangular pyramid has a base area of 0.5 x 35 x 15 = 262.5 square feet and a total floor area of 262.5 + 700 = 962.5 square feet.

So the total floor area of the six-sided figure is 962.5 square feet.

To find the cost to cover the floor with wax, we multiply the floor area by the cost per square foot:

962.5 * $1.38 = $1322.35

So the wax will cost $1322.35 to cover the floor.

2.
The shape for the quilt block can be divided into two right triangles and a rectangle. The rectangle has a length of 13 inches and a width of 5.18 inches, so its area is 13 * 5.18 = 67.34 square inches. The two right triangles each have a base of 5 inches and a height of 6 inches, so their area is 0.5 * 5 * 6 = 15 square inches each. The total area of the two right triangles is 15 * 2 = 30 square inches. The total area of the quilt block is 30 + 67.34 = 97.34 square inches.

So the area of the shape for the quilt block is 97.34 square inches.

3.
The area of a parallelogram is given by the formula: Area = base * height.

So the area of this parallelogram is:

22.5 feet * 19.25 feet = 432.0625 ft^2

So the area of the parallelogram is 432.0625 square feet or approximately 432 and 6/16 square feet.

4.
An isosceles trapezoid has two equal sides that are parallel to each other. In this case, the two equal sides are perpendicular to the height and are equal to 4 + 7 = 11 meters each. The average of the two parallel sides is the formula for the top base of a trapezoid, so the top base is (3 + 11)/2 = 7 meters.

The area of a trapezoid is given by the formula: Area = (bottom base + top base) * height / 2.

So the area of this trapezoid is:

(3 + 7) * 6.2 / 2 = 33.4 m^2

So the area of the trapezoid is 33.4 square meters.

5.
The area of a rhombus is given by the formula: Area = (diagonal 1 * diagonal 2) / 2.

In this case, the base of the rhombus is equal to one of its diagonals, and the height is equal to the other diagonal. So the area of this rhombus is:

(16 * 15.5) / 2 = 124 cm^2

So the area of the rhombus is 124 square centimeters.

6.
he total area of the figure can be found by dividing it into two parts: a parallelogram and a triangle.

The parallelogram can be found by using the formula for the area of a parallelogram: Area = base * height. In this case, the base is 4 inches and the height is 2.3 inches, so the area of the parallelogram is: 4 * 2.3 = 9.2 square inches.

The triangle can be found by using the formula for the area of a triangle: Area = (base * height) / 2. In this case, the base is 2.5 inches and the height is 3 inches, so the area of the triangle is: (2.5 * 3) / 2 = 3.75 square inches.

The total area of the figure is the sum of the areas of the parallelogram and triangle: 9.2 + 3.75 = 12.95 square inches.

So the total area of the figure is approximately 12.95 square inches.

7.
The figure can be broken down into two triangles and a rectangle. The area of one triangle is (1/2)bh = (1/2)(22)(34) = 308. To find the area of the other triangle, use the Pythagorean theorem to find the length of the remaining side. The two remaining sides are 43 and 18, and the hypotenuse is the side connecting the two vertices, so we have:

a^2 + b^2 = c^2

43^2 + 18^2 = c^2

1,849 + 324 = c^2

2,173 = c^2

c = 46.7

The area of this triangle is (1/2)bh = (1/2)(46.7)(34) = 786.2

The rectangle has a base of 43 and a height of 34, so its area is 43 * 34 = 1,462

The total area of the figure is 308 + 786.2 + 1,462 = 2,556.2 square meters.

So the answer is 2,556.2 m2.