One week, Kerry travels 125 miles and uses 5 gallons of gasoline. The next week, she travels 175 miles and uses 7 gallons of gasoline. Which best describes the function that can be used to represent m, the number of miles traveled, and g, the number of gallons used? direct variation; m = kg direct variation; gm = k inverse variation; inverse variation;

To simplify the expression 12 - 3 * 12 * 10 * 120, follow the order of operations: Multiply 3 * 12, then 36 * 10, then 360 * 120, and finally subtract 12 from the result to get 43,188.

To simplify the expression 12 - 3 * 12 * 10 * 120, you need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Multiply 3 * 12 = 36

Multiply 36 * 10 = 360

Multiply 360 * 120 = 43,200

Finally, subtract 12 from 43,200 to get 43,188.

so alex would have 2 markers plus jills 2 markers plus 8 markers is 12 markers all together, feel free to comment if you don't understand fully, and i will try to better my explanation

A. 12 sandwiches. He can buy 12 because 6*12=72. He already has the chips at 15.00. So 72+15=87. Close to the amount of $90.00

Answer:

Step-by-step explanation:

Any equation with a product of variables, or with a variable in an exponent or denominator, is not a linear equation. Here, "product of variables" includes powers and roots—any expression with an exponent other than 1, or a total of exponents other than 1.

The equations x^2 + y = 4 and x/2 - y^3 = 1 are not linear equations because they contain terms with variables raised to powers other than one, whereas - x - y = 2 and x = 5 are linear.

The question involves identifying which equations from the given list are not linear equations. Linear equations are of the form y = mx + b, where m and b are constants. Non-linear equations can include terms with variables raised to powers other than one, variables in the denominator, or variables under a radical.

The given equations are - x - y = 2, x^2 + y = 4, x/2 - y^3 = 1, and x = 5. The second equation, x^2 + y = 4, is not linear because it has a term x squared. The third equation, x/2 - y^3 = 1, is also not linear due to the term y cubed. Both of these equations contain expressions that disqualify them from being linear, as linear equations cannot have variables with exponents other than one. Therefore, these two are examples of a non-linear system of equations.

On the other hand, the first equation - x-y = 2 and the fourth equation, x = 5 are both linear. The first is in the standard linear form after being rearranged, and the fourth represents a vertical line in the xy-plane, which is a special case of a linear equation.

How does the $100 gift card affect the measure of center of the data?

It increases the mean value of the prizes.

It decreases the mean value of the prizes.

It increases the median value of the prizes.

It decreases the median value of the prizes.

SOH CAH TOA tells you ...

... Tan(θ) = Opposite/Adjacent

You have ...

... Tan(θ) = (3)/(4)

Matching parts of the two expressions, we see ...

... Adjacent = (4)

_____

In the context of this problem we might reasonably assume that the adjacent side length is 4 units. In any other context, the best we might say is that it is 4/3 times the length of the opposite side.

n = 28

to evaluate the expression, perform the multiplications before subtraction

( 5 × 28 ) - ( 3 × 4 ) = 140 - 12 = 128

As can be clearly seen from the graph provided, the line of the linear regression passes through the point (2006, 1200). Thus, we can easily say, using linear regression, to predict the number of reported robberies that occurred during 2006 will be 1200.

Therefore, out of the given options, Option B is the correct option.

________________________________________________________
                Linear Regression - Line of Best Fit Quick Check
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1. The city of Harmonville created a scatter plot to illustrate the number of robberies that have been reported there over the past several years. Use linear regression to predict the number of reported robberies that occurred during 2006.

Answer:
B. 1,200
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2. Find the equation of the line of best fit for the points (−4, 10), (−1, 5), (2, −1), (3, −6), and (5, −7).

Answer:
A. y = -2x + 2
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3. What is the significance of a correlation coefficient of -0.97?

Answer:
A. The points all lie very close to the line of best fir, and the line is decreasing.
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These are all 100% correct. You're Welcome!
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Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.

Explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

[tex]1000\times \frac{30}{100} =1000\times 0.3[/tex]

Total population after h hours is,

[tex]1000(1+0.3)^h[/tex]

It is in the form of,

[tex]P(t)=P_0(t)(1+r)^t[/tex]

Where [tex]P_0(t)[/tex] is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex]  is the growth factor after time t.

In the above equation 1000 is the initial population and [tex](1+0.3)^h[/tex] is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.

Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.

Answer:

the answer should be A

Step-by-step explanation:

ANSWER

The correct answer is D

EXPLANATION

To graph the inequality

[tex]x+3y\le 6[/tex]

we first graph the corresponding equation,

[tex]x+3y= 6[/tex]

We then test the origin to determine which half-plane to shade the inequality,

[tex]0+3(0)\le 6[/tex]

[tex]0\le 6[/tex]

The above statement is true so we shade the lower half plane.

Next, we graph

[tex]4x+6y\ge 9[/tex]

By first graphing the corresponding equation,

[tex]4x+6y=9[/tex]

Then we test the origin again,

[tex]4(0)+6(0)\ge 9[/tex]

[tex]0\ge 9[/tex]

This statement is false, so we shade the upper half plane

Next, we graph,

[tex]x\ge 0[/tex]

Draw the vertical line [tex]x=0[/tex] and shade to the right.

Finally, we graph,

[tex]y\ge 0[/tex]

Draw the horizontal line [tex]y=0[/tex] and shade the upper region.

the intersection of all the shaded regions is called the feasible region.

The four vertices of the feasible region are

[tex](0,\frac{3}{2}),(0,2),(6,0),( \frac{9}{4},0)[/tex]

Hence the correct answer is D

Answer:

D)

Step-by-step explanation:

Source: Trust me bro

[tex]\frac{11}{18}[/tex]

let n represent the number to be found

simplify the ratio on the right by multiplying both parts by 3

we now have

[tex]\frac{n}{11}[/tex] = [tex]\frac{1}{18}[/tex] ( cross-multiply )

18n = 11 ( divide both sides by 18 )

n = [tex]\frac{11}{18}[/tex]

The complete ratio for __:11= 1/3 :6   is   [tex]\frac{11}{18} : 11 = \frac{1}{3} : 6[/tex]

The given equivalent ratio expression is:

__:11= 1/3 :6

This can be re-written as:

[tex]x : 11 = \frac{1}{3}:6[/tex]

Rewrite the ratio in fraction form:

[tex]\frac{x}{11} = \frac{1}{3} \div 6[/tex]

Change the division sign on the right to multiplication, and 6 to 1/6

[tex]\frac{x}{11} = \frac{1}{3} \times \frac{1}{6} \\\\\frac{x}{11} = \frac{1}{18}[/tex]

Cross multiply:

18x   =  11

Divide both sides bu 18

[tex]\frac{18x}{18} = \frac{11}{18} \\\\x = \frac{11}{18}[/tex]

Therefore, the equivalent ratio is [tex]\frac{11}{18} : 11 = \frac{1}{3} : 6[/tex]

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It is 6561 because 3^12 is 531441 and 3^4 is 81 so when you divide you get 6561.

the expression for mean in this case is

[tex]50 = \frac{1}{5}(d + 20 + 75 + 20 + 90) = \frac{1}{5}(d+205)[/tex]

with d standing for expenditure in December. Now solve for d:

[tex]250 = d + 205\\d = 45[/tex]

The student has to spend $45 to meet his goal.

By calculating the total money spent in the past 4 months and subtracting it from the mean spending goal for 5 months, the college student can spend $45 on music in December.

The student's goal is to spend a mean of $50 a month towards music for the remaining 5 months of the year. Considering for the other 4 months his spending amounted to $20 , $75 , $20 , and $90, respectively, we add these amounts together, which results in $205. The total spending for 5 months should be $50 * 5 = $250 because of the mean spending goal. Therefore, the amount he can spend in December is $250 - $205 = $45.

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The lateral area of the prism is the area of the three rectangles in the middle of the net. (The two triangles are the bases of the prism, which don't count toward lateral area.) The total length of the three rectangular prism faces is (8 +15 +17) cm = 40 cm. The width of those rectangles is 11 cm. The lateral area will be the product of this length and width:

... lateral area = (40 cm)(11 cm) = 440 cm²

First add 3+4+6= 13 times 7=91

Lol

91 is the correct answer.   I will give you a hint! *You had to used order of operations stands for pemdas: p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtracting. First you had to calculate with parenthesis first, and it gave us, [tex](3+6+4)=13[/tex]. And then you had to multiply and divide from left to right, and it gave us the answer is 7*13=91. 91 is the correct answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

ANSWER

The correct answer is B

EXPLANATION

The first function is

[tex]x^2-2x+y-3=0[/tex]

We make y the subject to obtain;

[tex]y=-x^2+2x+3[/tex]

Let us quickly write this in the vertex form.

[tex]y=-(x^2-2x)+3[/tex]

[tex]y=-(x^2-2x+(-1)^2)+3+(-1)^2[/tex]

[tex]y=-(x-1)^2+4[/tex]

Since the [tex]a[/tex] is negative, the graph opens up.

The vertex is at [tex](1,4)[/tex]

The y-intercept is [tex]-3[/tex]

The x-intercept is found by equating the function to zero.

[tex]-(x-1)^2+4=0[/tex]

[tex]\Rightarrow (x-1)^2=4[/tex]

[tex]\Rightarrow (x-1)=\pm 2[/tex]

[tex]\Rightarrow x=1 \pm2[/tex]

[tex]\Rightarrow x=-1,3[/tex]

With these information we can quickly sketch the graph as shown in the attachment(the red graph).

For the second function,

[tex]x^2+y=0[/tex]

we again make y the subject to obtain,

[tex]y=-x^2[/tex]

This is a basic quadratic function that can be graphed easily. Note that it is also a maximum graph.

From the graph the solution to the two functions is

[tex](-1.5,-2.25)[/tex]

Answer:

B.(–1.5, –2.25)

Step-by-step explanation:

There are no parentheses or exponents, so the Order of Operations tells you to start by performing division and multiplication left to right.

7-3+4÷2×6

= 7-3+2×6

= 7-3+12

After you have done that, you perform addition and subtraction left to right.

= 4 +12

= 16

______

A Google or Bing search box will evaluate expressions such as this according to the order of operations.

a) 4  

b) 47

c) 225

d) 120/400

Answer:

a. Whole is 4

b. Whole is 225

c. part is 47

d.Part is 120 whole is 400

Step-by-step explanation:

With this problems of basci math you just have to think how much out of how much, the whole is the complete part and the part is what you are taking of or calculating, with fractions is easy because the whole is the number that is below and the part is the number on top of the fraction, and with percentages the number tha comes after teh "of" is the whole, and the number before is the part.

I believe the answer is Graph D

Answer:

Graph D

Step-by-step explanation:

Given is the function

f(x) =[tex]5x^3+x-8[/tex]

When leading term is changed to negative we get new function

g(x) = [tex]-5x^3+x-8[/tex]

To find y intercept:

Put x=0

Y intercept = 5(0)+0-8 =-8

Since only graph D has y intercept -8, we get graph D is the answer.

We are given that

point C lies on AB

Let's assume AC=x

we know that

CB=AB-AC

[tex]CB=30-x[/tex]

Point C is 1.5 times farther from point A than from point B

so, we get

[tex]\frac{AC}{CB} =1.5[/tex]

now, we can plug values

[tex]\frac{x}{30-x} =1.5[/tex]

now, we can solve for x

[tex]x=1.5\left(30-x\right)[/tex]

[tex]x=18[/tex]

so, we get

[tex]AC=18[/tex]

now, we can find CB

[tex]CB=30-18[/tex]

[tex]CB=12[/tex]

so, we get

[tex]AC=18[/tex]

[tex]CB=12[/tex]...............Answer

(1)

since both equations express y in terms of x, equate the right sides

- 2x = - 4x + 10 ( subtract 4x from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

substitute x = 5 into y = - 2x → y = - 10

solution is : (x, y ) → (5, - 10 )

(2)

equate the right sides of both equations

3x = 2x - 7 ( subtract 2x from both sides )

x = - 7

substitute x = - 7 into y = 3x → y = - 21

solution is : (x, y) → (- 7, - 21)

(3)

substitute y = - 8 into the other equation

- 8 = 6x + 22 ( subtract 22 from both sides )

- 30 = 6x ( divide both sides by 6 )

x = - 5

solution is : (x, y ) → (- 5, - 8 )

The equation of the given line, y = 3x - 2, is written in slope-intercept form:

... y = mx + b

where m represents the slope and b is the y-intercept.

Matching the form to the given equation, you see m = 3, and b = -2. The slope of the given line is 3.

The slope of a line perpendicular to it will be the negative reciprocal of this value

... slope of perpendicular line = -1/m = -1/3

For some new value of b, the equation of the perpendicular line can be written

... y = (-1/3)x + b

Filling in the values of the point coordinates, we can find the appropriate value of b.

... 4 = (-1/3)(3) +b

... 4 = -1 + b . . . . . . . simplify

... 5 = b . . . . . . . . . . add 1

Then the equation you want is ...

... y = (-1/3)x + 5

for every member to get a shirt you would need to order 9 packages of shirt (because 5 times 9 is 45) and for caps the minimum to order would be 15 packages of caps

explanation

caps=3 per package

shirts=5 per package

divide 45 by and get 15

15 is the total packages of hats needed to order

for shirt 45 divided by 5 is 9

9 is the total packages of shirts needed to order

Answer:

15 pack of caps n 9 pack of shirts

Step-by-step explanation:

There are 45 science club members.

If the caps come in packages of 3, least no. of package of caps is 45/3=15

If the shirts come in packages of 5, least no. of package of caps is 45/5=9

Answer:

81 1/3 . . . . . (none of the offered choices is appropriate)

Step-by-step explanation:

According to the order of operations, expressions inside parentheses are evaluated first.

= 12[5^2 ÷ (25 -16) +4]

= 12[5^2 ÷ 9 + 4]

Exponentials are evaluated before multiplication or division.

= 12[25 ÷ 9 + 4]

Division is performed before addition

= 12[(2 7/9) +4]

= 12[6 7/9]

And finally, the multiplication is performed

= 72 +84/9 = 72 +9 1/3

= 81 1/3

_____

A Google search box can be relied upon to apply the order of operations when evaluating an arithmetic expression.

== == == == ==

If the problem is ...

... 12[6^2 ÷ (25 -16) +4]

then the result is A. 96.

The projectile has a maximum height of 1353.991 feet.

In this case we need to determine the maximum height reached by a projectile. Height equation of the projectile is now introduced:

y = y' + v' · t + 0.5 · g · t²

Where:

First, determine the height equation of the projectile:

y = 65 + 288 · t - 16.087 · t²

Second, graph the equation and find the maximum height by means of a graphing tool. (The maximum height is the y-coordinate of the vertex)

The maximum height of the projectile is 1353.991 feet.

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The maximum height attained by the projectile is calculated using the formula H = [tex](v^2) / (2g),[/tex] resulting in a height of 644.2 feet above the launch point. Adding the height of the structure, the projectile reaches a total maximum height of 709.2 feet above the ground.

To calculate the maximum height attained by a projectile, we need to consider the initial velocity, the height from which it is projected, and the acceleration due to gravity. The initial velocity is given as 288 feet per second, and the projectile is launched from a structure 65 feet high. The maximum height will be achieved when the projectile momentarily stops moving upwards before accelerating downwards due to gravity, which in the imperial system is approximately 32.2 feet per second squared in the negative direction.

Using the formula for vertical motion [tex]h = v^2 / (2g)[/tex] where h is the maximum height (from the point of launch), v is the initial vertical velocity, and g is the acceleration due to gravity, we can find the maximum height relative to the top of the structure. We then add the height of the structure to get the total maximum height above the ground.

The maximum height (H) from the launch point can be calculated using the formula: H = [tex](v^2) / (2g)[/tex]. Plugging in the values, we get H = (2882) / (2 * 32.2), which gives us H = 41,472 / 64.4 / 644.2 feet. To find the maximum height above the ground, we add the height of the structure: 644.2 feet + 65 feet = 709.2 feet.

Thus, the maximum height attained by the projectile is 709.2 feet above the ground.

f(x)=4x^3 - 6x^2 + 2x - 5

f(-2)

Replace X with -2:

4(-2)^3 - 6(-2)^2 + 2(-2) - 5 =

Calulate the powers:

4(-8) - 6(4) +(-4) -5=

Multiply:

-32 - 24 -4 -5=

Subtract

-65

Answer:

(-1,-6) , (7,0) and (11,3)

Step-by-step explanation:

3x - 4y = 21

4y = 3x - 21

y = 3/4x - 21/4 , the slope(m) of this line is 3/4

The x and y intercepts are (0,-5.25) and (7,0)

Taking a point (-3,3):

Slope(m) = change in y ÷ change in x

Slope = (3 - 0) ÷ (-3 - 7) = -0.3

Since the slope here is not 3/4 then point (-3,3) is not on the line.

Taking a point (-1,-6)

Slope = (-6 - 0 ) ÷ (-1 - 7) = -6/-8 = 3/4

The point (-1,-6) is on the line.

Taking a point (7,0):

This point is the x - intercept and so its on the line.

Taking a point (11,3):

Slope = (3 - 0) ÷ (11 - 7) = 3/4

Therefore the point (11,3) is on the line.

Answer:

wut that dude said is correct i verified it

Step-by-step explanation:

The answer is (-5,-6)

Answer:

Option D is correct.

(-5, -6)

Step-by-step explanation:

Ordered pair states that a pair of number that is locate a point on a coordinate plane i.,e (x, y)

Given the line: [tex]2x-3y = 8[/tex]              .....[1]

Option A:

(12, -73)

Substitute the value of x = 12 and y = -73 in [1] we have;

2(12) - 3(-73) = 8

24 + 219 = 8

243 = 8        False.

Similarly for;

Option B

(-2, 4)

2(-2) - 3(4) = 8

-4 -12 = 8

-20 = 8        False.

Option C

(2, 43)

2(2) - 3(43) = 8

4-129= 8

-125= 8        False.

Option D

(-5, -6)

2(-5) - 3(-6) = 8

-10 +18 = 8

8 = 8      True.

Therefore, only (-5, -6) ordered pair is on the line 2x-3y = 8