What is the rate for 9 pages in 3 hours

Answer:

17/12

Step-by-step explanation:

In order to add fractions, you have to have a common denominator. The denominators in these fractions are 3, 2, and 4 (the bottom numbers). To get a common denominator, figure out what number all three of them can go into. Their common factor would be 12 because all three numbers go into 12.

Multiply each numerator in the fraction (the top number) by how much it takes to get from our current denominators (3,2,4) to our final denominator (12).

For example, in 2/3 we know that 3 times 4 equals 12. Multiply the top number by 4 to get 8/12.

In 1/2 we know that 2 times 6 equals 12. Multiply by 6 to get 6/12.

In 1/4 we know that 4 times 3 equals 12. Multiply by 3 to get 3/12.

Add the fractions to get 17/12.

Answer:

49°

Step-by-step explanation:

arc AB subtends a central angle of 98°

Let O be the center of the circle.

∠OAB = ∠OBA = (180°-98°)/2 = 41°

Assuming that BC  is tangent to the circle, ∠OBC = 90°

∠ABC = ∠OBC - ∠OBA = 90° - 41° = 49°

Answer: The answer is 6

Step-by-step explanation: I know this because there are 4 months and in a total of those months she read 24 total books which you divide by 4 which is 6

Answer:

\(x = \frac{ - 13}{16} \)

Step-by-step explanation:

\(f(x) = {x}^{3} + 3 \\ g(x) = {x}^{2} + 2\)

At the point of intersection, f(x)=g(x)

\( {x}^{3} + 3 = {x}^{2} + 2 \\ collect \: like \: terms \\ {x}^{3} - {x}^{2} + 3 - 2 = 0 \\ {x}^{3} - {x}^{2} + 1 = 0\)

\( {x}^{3} - {x}^{2} + 1 = 0\)

The above graph is that of the equation

\( {x}^{3} - {x}^{2} + 1 = 0\)

The solution is = -0.755 which is approximately -0.8

From the option provided;

For option A, x = -13/16 = -0.8125

For option B, x = -5/4 = -1.25

For option C, x = -15/16 = -0.9375

For option D, x = -7/8 = -0.875

From the option provided, The closest to the solution is Option A

Because - 0.8125 is approximately -0.8

9514 1404 393

Answer:

  D.

Step-by-step explanation:

The linear portion of the curve is in the region x ≥ 2. The only function defined that way is the one in choice D.

Answer:

Multiply the amount of milk by 4

Step-by-step explanation:

Given

See attachment for graph

Required

The rule of the graph

Pick any two points on the graph

\((x_1,y_1) = (0,0)\)

\((x_2,y_2) = (1,4)\)

Calculate slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{4 - 0}{1 - 0}\)

\(m = \frac{4}{1}\)

\(m =4\)

The graph equation is:

\(y = m(x - x_1) + y_1\)

\(y = 4(x - 0) + 0\)

\(y = 4(x)\)

\(y = 4x\)

The above shows that the x values are multiplied by 4 to get y

Answer:

Step-by-step explanation:

x=11

y=6

z=-9

Answer: Yes

Step-by-step explanation: by SAS

Answer:

Step-by-step explanation:

ASA postulate of congruence.

Answer:

\(\boxed{\df\ \dfrac{-19}{2}}\)

Step-by-step explanation:

Hi,

x=-2

it gives

9*(-2)-4y=20

<=> -18-4y=20

<=> 18-18-4y=20+18=38

<=> -4y=38

<=> y = -38/4=-19/2

hope this helps

Answer:

The smallest pot he can use is A.) 3 Liter Pot

Step-by-step explanation:

8 x 300 = 2,400

1 liter = 1,000 millileters

2 liters = 2,000 millileters

3 liters = 3,000 millileters

4 liters = 4,000 millileters

He could also use the 4 liter pot, but the keyword is SMALLEST

Hope This Helps!

Answer:

3 liters of soup

Step-by-step explanation:

you multiply 8 x 300 = 2,400 so i know by fact its neither 1 liter nor 4 liters because 1 is to small and 4 is too big, so that leaves us with 2 and 3  so i know 2,400 goes pass 2,000 liters, so it has to be 3, although 2,400 isn't really close to 3,000 but 2,400 is larger than 2,400 so that's why i know how the answer is 2,400.

hopped it helped

The possible values of x are 51% < x < 59%.

When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.

Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.

Let K represent Kofi

1st paper = 45/100

2nd paper = x / 100

Mean score = ( 45 + x ) % / 2

The possible range of x = 48% < (45+X)/2 < 52%

Cross multiplying

96% < 45 + x < 104%

Subtract 45 from both sides

Range = 51% < x < 59%

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Answer:

Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.

Step-by-step explanation:

Answer:

A) h= 201-6t

B) Candle B is 290 millimeters tall and burns at 5 millimeters per hour

C) Candle A burns faster because it has a rate of burning that is 1 millimeter faster per hour than Candle B (coefficient in front of t)

D) 58 hours

Step-by-step explanation:

Candle A Went down 24 in 4 hours so thats 6 millimeters per hour.

A) h= 201-6t

Candle A Went down 24 in 4 hours so thats 6 millimeters per hour (how i found the coeffiecient in front of t.)

B) Candle B is 290 millimeters tall and burns at 5 millimeters per hour

(Just interpreted the given equation)

C) Candle A burns faster because it has a rate of burning that is 1 millimeter faster per hour than Candle B, although candle B is still 50% larger than candle A at the beginning of burning.

D) 290=5t

t=58 hours

It would take 58 hours for Candle B to burn down completely, from the given equation.

Answer:

5, 6

Step-by-step explanation:

Answer:

Los números son:

6 y 5

Step-by-step explanation:

Planteamiento:

a * b = 30

a + b = 11

Desarrollo:

De la segunda ecuación del planteamiento:

a = 11-b    

Sustituyendo esta última ecuación en la primer ecuación del planteamiento:

(11-b)*b = 30

11*b + b*-b = 30

11b - b² - 30 = 0

-b² + 11b - 30 = 0

b = {-11±√((11²)-(4*-1*-30))} / (2*-1)

b = {-11±√(121-120)} /-2

b = {-11±√1} / -2

b = {-11±1} / -2

b₁ = {-11-1} / -2 = -12/-2 = 6

b₂ = {-11+1} / -2 = -10/-2 = 5

Comprobación:

6*5 = 30

6+5 = 11

The solutions of the equation x³ + 5x² = - x² + 5x + 3 when solved graphically is x = - 0.41, 1.09.

Draw a graph for each side, or component, of the equation and check to see where the curves intersect or are equal, to solve an equation graphically. The answers to the equation are the x values of these places.

Consider the equation,

x³ + 5x² = - x² + 5x + 3

Solving Equations Graphically:

The solution(s) of the equation f(x) = g(x) are the values of x where the graphs of f and g intersect.

Therefore,

f(x) = x³ + 5x² and g(x) = - x² + 5x + 3

By graphing the function we find the intersection of the two functions.

Hence, the graphs intersect each other at ( - 0.411, 0.776) and ( 1.092, 7.268).

Therefor,e the solution of the equation x³ + 5x² = - x² + 5x + 3 is x = - 0.41 and x = 1.09.

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Answer:

19

Step-by-step explanation:

Given the expression:

Add the quotient of 35 and 5 to the product of 2 and 6.

Quotient of 35 and 5 :

35 / 5 = 7

Product of 2 and 6 :

(2 * 6). = 12

Adding the result of the both calculations :

7 + 12 = 19

Writing the expression together :

35/5 + (2 * 6)

7 + 12

The y-intercept of the line y = 14 / 17 x + 14 is 14.

The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.

Therefore, let's represent it in slope intercept form.

y = mx + b

where

Therefore, using the equation of a line in slope intercept form, the y-intercept of the equation y = 14 / 17 x + 14 is 14.

The y-intercept of a line is the value of y when x = 0.

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9514 1404 393

Answer:

  0.4424°/s

Step-by-step explanation:

We can get an answer to the desired accuracy by approximating the rate of change over a small time interval.

0.05 seconds before the time of interest, the boat will be ...

  210 +10(0.05) = 210.5

meters from shore. The angle of depression from the observer is ...

  tan(θ) = (35 m)/(210.5 m)   ⇒   θ = arctan(35/210.5) ≈ 9.440251°

Then 0.05 seconds after the time of interest, the angle of depression will be ...

  θ = arctan(35/(210-0.05(10))) = arctan(35/209.5) ≈ 9.484495°

The rate of change of angle of depression over that 0.1-second period is ...

  (9.484495° -9.440251°)/(0.1 s) ≈ 0.4424°/s

_____

Additional comment

If you write the function relating angle θ and time t, you would have ...

  θ = arctan(35/(210-10t))

The derivative of this with respect to time is ...

  θ' = 1/(1 +(35/(210-10t))²)×(350/(210 -10t)²) = 350/((210 -10t)² +35²)

At t=0, this is 350/(210² +35²) = 2/259 . . . . . radians per second

Then in degrees per second, the rate of change of angle is ...

  (2/259)(180/π) = 360/(259π) °/s ≈ 0.4424°/s

Answer:

18

Step-by-step explanation:

since there are 9 liters and three days, you double the amount of days to get 6, so you do the same to the amount of liter she makes. so 18 liters of jam

The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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The objective function of a linear programming model should be to maximize or minimize the numerical value.

The objective function consists of linear functions which are subjected to constraints in the form of linear equations or in the form of inequalities.

The objective function is always stated as z = ax + by.

The numerical value may be the:

Thus, the objective function of a linear programming model, which is always linear, is to maximize or minimize a numerical value.

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This shaded region represents the solution to the system of inequalities.

We have,

The inequalities:

y ≤ -1 and x ≥ 1

To graph y ≤ -1, we first draw the horizontal line y = -1.

Since we want y to be less than or equal to -1, we shade the area below the line.

To graph x ≥ 1, we draw the vertical line x = 1.

Since we want x to be greater than or equal to 1, we shade the area to the right of the line.

The shaded regions of both inequalities overlap in the area to the right of x = 1 and below y = -1.

Thus,

This shaded region represents the solution to the system of inequalities.

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Answer:

the answer to your question is 1/6

Answer:

Given. 2. A bisector cuts a segment into 2. ≅ parts. 3. Intersecting lines form vertical ∠. 4. ... 3. ∠ABC = ∠ADC Angle. 4. ∆ABC ≅ ∆ADC. Reasons. 1. Given. 2. Given ... AE ≅ DF. AB ≅ CD. Prove: EC ≅ FB. Statement. 1. ∠A and ∠D are a rt ∠ ... CD bisects ∠BCA ... ∠ECA ≅ ½∠BAC and ... Given: CEA ≅ CDB, ∆ABC.

Step-by-step explanation:

Answer:

SOLUTION SET={x<-3/2   or   x≥48/5} option A

Step-by-step explanation:

12x+7<-11                           and            5x-8≥40

solving the both inequalities

12x+7-7<-11-7                     and             5x-8+8≥40+8

12x<-18                              and              5x≥48

12x/12<-18/12                     and               5x/5≥48/5

x<-3/2                                and               x≥48/5

SOLUTION SET={x<-3/2   or   x≥48/5}

i hope this will help you :)

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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Transcribed image text: (1 point) A tank contains 60 kg of salt and 2000 L of water. Water containing 0.8 min of salt enters the tank at the rate 6 min. The solution is mixed and drains from the tank at the rate 3 IA(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = (kg) = 0.

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Answer: yes

Step-by-step explanation: