While reviewing for exams a teacher knows that the number of topics he can cover is directly proportional to the length of time he has to review. If he can cover 9 topics in a single 45-minute period, how many topics can he cover in a 1-hour period?

A) 5
B) 7
C) 10
D) 12

Answer:

  Altogether, they had ?28

Step-by-step explanation:

Had Obi spent only ?12, they would have been even. Thus ?12 is the same as 5-2 = 3 "ratio units". So, each "ratio unit" is worth ?12/3 = ?4.

Then Obi started the day with 5·4 = 20, and Obi started the day with 2·4 = 8. Obi ended with 0, which is 8 less than Rudy.

Altogether, they started with 20 + 8 = 28 of whatever a ? is.

Answer:

Money they have  initially altogether = 28

Step-by-step explanation:

The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2.

Money Obi has = 5 r

Money Rudy has = 2 r

Obi spent 20 that day and bi now had 8 less than Rudy

               5r -20 = 2r - 8

               3r = 12

                 r = 4

Initial money they have

                Obi = 5r = 5 x 4 = 20

                 Rudy = 2 x 4 = 8

Altogether they have 20+8 = 28

Money they have  initially altogether = 28

Answer:

right towards positive x axis

Step-by-step explanation:

In order to find the orientation of the parabolas we can follow following steps.

1. if in the equation x is squared , the parabola opens up. Also if its coefficient is negative it opens down.

2. If y is squared , the parabola opens right , and its coefficient is negative , it opens left

but before that we have to convert our function in standard form of the parabola. Our equation is

[tex]y=\sqrt{x-4}[/tex]

hence we square on both sides

[tex]y^2=x-4[/tex]

which is now into one of the standard form of a parabola. here y is squared and its coefficient is not negative hence it opens towards right.

Answer:

  D.Divide the first equation, −4x + 8y = 16, by 2.

Step-by-step explanation:

All you have to do is look at the effect of the proposed action on the constant on the right to tell which answer choices are incorrect.

Answer:

D.Divide the first equation, −4x + 8y = 16, by 2.

Step-by-step explanation:

−4x + 8y = 16

2x + 4y = 8

Take the first equation and divide it by 2

−4x/2 + 8y/2 = 16/2

-2x + 4y = 8

Answer:

Graph D last graph

Step-by-step explanation:

Answer:

12 in

Step-by-step explanation:

the arc length formula is s = rФ, where Ф is the central angle in radians.

Here, the arc length is s = (4 in)(3 radians) = 12 in

Answer:

D on edge

Step-by-step explanation:

Your answer is D. y = 36

We can find this by just rearranging the equation firstly:

2 + √4y - 3 = 11

√4y - 1 = 11

√4y = 12

Now we can simplify √4y, because 4 2², so you get 2√y :

2√y = 12

√y = 6

We can now square both sides to get the equation as "y ="

y = 36

I hope this helps! Let me know if you have any questions :)

Answer:

112/125

Step-by-step explanation:

If we know all 25 are in at least one foreign language class then we can assume that exactly 4 of the 18 kids in French only take French to add up to 25 and this means that the 14 left take both classes. Now we can create three fractions for each case which are 7/25 (Spanish only) 4/25 (French only) and 14/25 (Both) and we can know say that if he goes down the route of getting a Spanish only as his first he needs one of the 18 other students the chances of this happening are 7/25 * 18/25 = 126/625 the same thing is done with the French only and we get 4/25 * 21/25 = 84/625 and then we have the possibility of just getting a student that does both which is 14/25 or 350/625. now we add them all together to get 560/625 which is simplified to 112/125.

Hope this helps please mark brainliest :)

Answer: [tex]a_n=-50+(n-1)17[/tex]

Step-by-step explanation:

The Arithmetic Sequence Formula is:

[tex]a_n=a_1+(n-1)d[/tex]

Where:

[tex]a_n[/tex] is the [tex]n^{th}[/tex] term of the sequence.

[tex]a_1[/tex] {a_1} is the first term of the sequence.

[tex]n[/tex] is the term position.

[tex]d[/tex] is the common difference of any pair of consecutive numbers.

We can observe that the first term is:

[tex]a_1=-50[/tex]

Now, we need to find "d". This is:

[tex]d=-16-(-33)\\d=-16+33\\d=17[/tex]

Then, substituting, we get the following equation:

[tex]a_n=-50+(n-1)17[/tex]

The length of first side is 5 feet, the length of second side is 7 feet, the length of third side is 3 feet.

The perimeter is the sum of measurement of all sides of a triangle. It is done by a ruler.

let the second side be x

according to question first side will be (x-2) feet and the third side will be (x-4) feet.

We know that  the perimeter is equal to the sum of all sides of a triangle.

so

x+x-2+x-4=15

3x=6=15

3x=21

x=7

The length of first side=7-2=5 feet

The length of second side=7 feet

The length of third side=3 feet

Hence the sides of the triangle is 5 feet, 7 feet, and 3 feet.

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Answer:

The list is -1,1,-2,2,-4,4,-8,8,-1/2,1/2

Step-by-step explanation:

Possible rational zeros are the constant factors/leading coefficient factors

So factors of -8:  -1,1,-2,2,-4,4,-8,8

So factors of 2:  -1,1,-2,2

Now put every number in the first list over every number in the second list:

The possible rational zeros are:

-1/1=-1

1/1=1

-2/1=-2

2/1=2

-4/1=-4

4/1=4

-8/1=-8

8/1=8

-1/2

1/2

I didn't write any number twice.... like -8/2 is just -4 which I already wrote

The list is -1,1,-2,2,-4,4,-8,8,-1/2,1/2

Answer:

±1/2, ±1, ±2, ±4 and ±8

Step-by-step explanation:

The Rational Zeros Theorem is defined as when a polynomial has all coefficients  integer, then any rational zeroes of the polynomial have to be in the form ±p/q, where q is the coefficient of the highest power of the variable and p is declared  as the constant term.

Furthermore, a rational  "zero" is for a polynomial.  when the polynomial is p(x), a "zero" is a value of x when  p(x) = 0

Secondly, we have to know  what a "rational zero" is.  A "rational zero" is a zero that its number is rational.  Some polynomials  have some rational zeros and some irrational zeros, and some only have zeros that are rational numbers.

By applying this theorem,  all  possible factors of the constant term must be considered . In this example they are 1, 2, 4, and 8.  After that Then you consider all possible factors of the coefficient of the highest power of the variable. we take the x³ term, whose coefficient is 2. the  the possible factors of 2 are 1 and 2.

Therefore, the possible list of rational zeroes are given below

 ±1/1 = ±1

±1/2

±2/1 = ±2

±2/2 = ±1

±4/1 = ±4

±4/2 = ±2

±8/1 = ±8

±8/2 = ±4

By removing the duplicates, we arrive at the following,

±1/2, ±1, ±2, ±4 and ±8

Answer: The answer is B.

Step-by-step explanation:

Area of parallelogram = B*H (base times height)

Here, the base is 32 inches and the height is 33 inches.

32*33=1,056in^2

Answer:b

Step-by-step explanation:

We multiply base and height

Answer:

ITS 100% A

Step-by-step explanation:

Answer:

Option 2.

Step-by-step explanation:

Let as consider x be the  air conditioning unit's actual capacity and y is the maximum variance in British thermal units (Btu).

It is given that an air conditioning unit promises to have a cooling capacity of 6,000 British thermal units (Btu).

We need to find the graph that could be used to determine the variance levels that would cause a unit to be rejected because of its cooling capacity.

It means the maximum variance is less than or equal to absolute difference of actual capacity and 6,000.

[tex]y\leq |x-6000|[/tex]

The related equation of this inequality is

[tex]y=|x-6000|[/tex]

It is a V-shaped curve with vertex (6000,0) and y-intercept (0,6000).

The related curve is a solid V-shaped curve because the points on curve included in the solution set.

The shaded region lie below the curve because the sign of inequality is ≤.

Therefore the correct option is 2.

Answer:

  (n/24)^3

Step-by-step explanation:

If "n" represents "a number," then "the quotient of a number and 24" means ...

  (n/24)

The cube of that is ...

  (n/24)^3

Answer:

i would say b

Step-by-step explanation:

Answer:

The correct option is B.

Step-by-step explanation:

The given graph represents the sales of sweaters and gloves at her store for the past ten winter weeks.

If the scatter points lie near to a straight line and the slope of the line is positive, then there is a strong positive linear correlation between two variables.

r=1 means strong positive correlation.

r=0 means no correlation.

r=-1 means strong negative correlation.

From the figure it is clear that the scatter points lie near to a straight line and the slope of the line is positive. So, there is a positive linear correlation between the sales of sweaters and gloves.

Therefore the correct option is B.

Answer:

Option B is correct.

Step-by-step explanation:

y=4x^2-6x+1

Solving the quadratic equation:

4x^2-6x+1

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

a=4, b=-6 and c=1

[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4(4)(1)}}{2(4)}\\x=\frac{6\pm\sqrt{36-16}}{8}\\x=\frac{6\pm\sqrt{20}}{8}\\x=\frac{6+\sqrt{20}}{8} \,\,and\,\, x=\frac{6-\sqrt{20}}{8}[/tex]

So, it has 2 solutions,

Option B is correct.

Answer:

Solution to pair of linear equations

Step-by-step explanation:

Subtract second equation from the first

[tex]3x-8y=29\\3x+ y=-2\\[/tex]

subtraction eqn 2 from 1 we get

[tex](3x-3x)+(-8y-y) = (29-(-2))\\-9y=31\\y=-\frac{31}{9} \\y= - 3.44[/tex]

In order to find the value of x we will put this value of y in anyof the above equation and solve it for x

[tex]3x-\frac{31}{9} = -2\\3x=-2+\frac{31}{9} \\3x=\frac{-18+31}{9} \\3x=\frac{13}{9} \\x=\frac{13}{9*3} \\x=\frac{13}{27} \\x=0.4814[/tex]

The Correct answer which is solution two the above linear pair of equations is

x=0.4814

y=-0.344

Answer:

see below

Step-by-step explanation:

The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.

The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.

Answer:

26,102,52

Step-by-step explanation:

Let x be the smallest angle

x+76 is the second angle

2x is the third angle

The sum of all three angles is 180 degrees

x+ (x+76) + 2x = 180

Combine like terms

4x+76 = 180

Subtract 76 from each side

4x+76-76 = 180-76

4x =104

Divide by 4

4x/4 =104/4

x =26

x+76 =26+76 =102

2x = 2*26 = 52

y > 5x-1, because it is just a greater than sign, the shaded area would be to the left of a dotted line.

y ≤ x +3, because the sign is less than or equal to, the line is solid and the shaded area would be to the right.

Combine the shaded areas would make Graph B. the correct answer.

Step-by-step explanation:

You need to look for where f(x) and g(x) have the same value.  That's at x=0 and x=2.

Answer: If you want to see in what value of x there is true that f(x) = g(x), you need to see in the table when f(x) and g(x) has the same value, this is lock in in table when the second and third values are the same.

This is true for x = 2, where f(2) = 0 and g(0) = 2, and for x = 0, wher f(0) = -3 and g(0) = -3.

Answer:

24 units cubed

Step-by-step explanation:

Volume is just length x width x height

so the width is 2 units and the height is 2 units and the length is 6 units: 2 x 2 = 4

4 x 6 = 24 units cubed

One unit cube = 1 by 1 by 1.

In the long picture, we have 2 by 2 by 6.

Volume = 2 x 2 x 6

Volume = 4 x 6

Volume = 24 units^3

This would be the symmetric property!

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The property illustrated here is symmetric property .

Explanation:

Symmetric Property of Equality. The following property: If if a = b then b = a. This is one of the equivalence properties of equality. See also. Reflexive property of equality, transitive property of equality, transitive property of inequalities.

Answer:

Two

Step-by-step explanation:

x² + x = 11

The degree of a polynomial will always tell us the maximum number of solutions

You have a second degree polynomial, so there are two possible solutions.

They are

[tex]x = \dfrac{1}{2} \left (-1 - 3\sqrt{5} \right )[/tex]

and

[tex]x = \dfrac{1}{2} \left (-1 + 3\sqrt{5} \right )[/tex]

The diagram below shows that the zeros are at (-3.854,0) and (2,854, 0), which are the decimal equivalents of the roots.

Answer:

xy=8

Step-by-step explanation:

The equation for inverse variation is

xy = k where k is the constant of variation

4*2 = k

8=k

The equation is

xy=8

By substitution of formula, the expression of principle P is P = I/(r*t) .

Substitution of formula is a method to find any parameter from the given expression by substituting the required value from the expression or equation mentioned.

Given expression is I = Prt .

Substituting the parameter of principle(P) from the above expression -

P = I/(r * t)

Thus, by substitution of formula, the expression of principle P is P = I/(r*t) .

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Answer:

Step-by-step explanation:

Slope-intercept form is ...

  y = mx + b

Comparing your equation to this pattern, you can see that your equation is already in this form, with ...

In this form, the coefficient of x (which is m) is the slope of the line. Thus your slope is -3/4. The added constant (which is b) is the y-intercept, the value of y when x=0. Your y-intercept is -2. Expressed as the coordinates of a point, the y-intercept is (x, y) = (0, -2).

Answer: 3.6 hours

Step-by-step explanation:

Given : The time taken by Blake to paint the room : [tex]t_1=9\text{ hours}[/tex]

The time taken by Ned to paint the room : [tex]t_2=6\text{ hours}[/tex]

Then , the time taken (T) by both of them to paint the room if they work together is given by :-

[tex]\dfrac{1}{T}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{9}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{5}{18}\\\\\Rightarrow\ T=\dfrac{18}{5}=3.6\text{ hours}[/tex]

Hence, it will take 3.6 hours to the two companies if they working together .

ANSWER

P'(2,7)

EXPLANATION

When we reflect a point in the y-axis, we negate the x-coordinates.

The rule for reflection across the y-axis is

[tex](x,y)\to (-x,y)[/tex]

The given point, P has coordinates (-2,7)

To obtain the coordinates of the image P', we negate the x-coordinate of P(-2,7).

[tex]P( - 2,7) \to \: P'( - - 2,7)[/tex]

[tex]P( - 2,7) \to \: P'(2,7).[/tex]

Answer:

(2, 7)

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y) → (- x, y)

Hence

P(- 2. 7) → P'(2, 7)

Answer:

1) 2x-5                 2)  -10/x^2

Step-by-step explanation:

Use power rule and constant rule for the first one:

1) f(x)=x^2-5x^1+1                                (x^n)'=nx^(n-1) and (c)'=0

f'(x)=2x^1-5(1)x^0+0                        

f'(x)=2x-5(1)                                        x^0=1

f'(x)=2x-5

Use just power rule for last one after a rewrite

2) f(x)=10/x

f(x)=10x^(-1) now use power rule

f'(x)=-10x^(-2) =-10/x^2