As y increases by 4, x increases by 8. Which equation represents this rate of change?

n^2 + 10^2 = 26^2

n^2 + 100 = 676

n^2 = 576

n = 24

The second line has a greater rate of change by 13/4.

To determine the rate of change, or slope, of the given graphed line, we employ the formula for calculating the slope between two points, expressed as:

a = (y2 - y1)/(x2 - x1)

Observing the graphed function, we identify two points, (0, -2) and (4, 0), and apply these coordinates to the slope formula

a = (0 - (-2))/(4 - 0) = 2/4 = 1/2

Having established that the slope of the first line is 1/2, we move on to the second line, which has a slope of 15/4. To find the difference in slopes, we subtract the slope of the first line from that of the second:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

This calculation reveals that the second line has a greater rate of change by 13/4.

In summary, the step-by-step analysis indicates that the slope of the second line exceeds that of the first by 13/4.

The question probable may be:

Consider the two functions. Which statement is true?

A)Function 1 has a greater rate of change by 13/4

B)Function 2 has a greater rate of change by 13/4

C)Function 1 has a greater rate of change by 13/2

D)Function 2 has a greater rate of change by 13/2

Answer:

x = 42°

Step-by-step explanation:

[tex] \angle JML \:and\:\angle LMN [/tex] Linear pair angles or straight line angles.

[tex] \therefore \: \angle JML + \angle LMN = 180 \degree \\ \therefore \: 3x + 54 \degree = 180 \degree \\ \therefore \: 3x = 180 \degree - 54 \degree \\ \therefore \: 3x = 126 \degree \\ \therefore \: x = \frac{126 \degree}{3} \\ \therefore \: x = 42\degree \\ [/tex]

Answer:

162 mL

Step-by-step explanation:

1.Convert all volumes to millilitres

(a) Chlorpheniramine

V = 100 mL

(b) Lidocaine

V = \text{2 oz} \times \dfrac{\text{29.57 mL}}{\text{1 oz}} = \text{ 59.14 mL)

(c) Banana flavouring

V = \dfrac{1}{2}\text{ tsp} \times \dfrac{\text{4.93 mL}}{\text{1 tsp}} = \textbf{2.46 mL} }

2.Calculate the total volume

Chlorpheniramine = 100      mL

Lidocaine               =   59.14

Banana flavouring =    2.46          

TOTAL                    = 162      mL

Answer:

The outlier is of all those number is 96 and 29

Answer:

9x2 – 25 = (3x – 5)(3x + 5)

Step-by-step explanation:

(3x – 5)(3x + 5)

= 9x² + 15x - 15x - 25

= 9x² - 25

Final answer:

The correct equation is 9x² – 25 = (3x – 5)(3x + 5), as it is the factored form of the difference of squares, where 9x² is the square of 3x and 25 is the square of 5.

Explanation:

The equation we are considering is 9x² – 25. We need to determine which of the provided options is a true equality. The equation 9x² – 25 is a difference of squares, which factors as (a² – b²) = (a – b)(a + b). In this case, a is 3x and b is 5 because (3x)² = 9x² and 5² = 25.

Thus, the factored form of the equation 9x² – 25 is (3x – 5)(3x + 5). So, the correct equation from the given options is 9x² – 25 = (3x – 5)(3x + 5).

Answer:

ok thanks for telling us

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When you plug in one, y equals three and you have a point at hat ordered pair

When you plug in zero you get one, and you have a point at that ordered pair

the slop is going up, and in the equation the slope is positive

Answer: 12 because for each number on the die, you get 2 options: one marble or the other. So if it’s a six sided die, you have 12 possible outcomes. (2 times 6)

You roll a die and pick a marble,  12 outcomes are possible.

The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

Given:

You roll a die and pick a marble.

When you roll a die,

you'll get either one marble or another.

So, there are 2 possibilities.

When you roll a die, there 6 possible outcomes.

And the total number of possible outcomes,

= 2 times 6

= 2x 6

= 12

Therefore, 12 outcomes are possible.

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would it be 10, I think if you divide 21/3 and 6/2 you get 7+3 is equal to 10

Answer:

x is √868, If rounded then its 29.5 inches

Step-by-step explanation:

Answer:

2 × h

Step-by-step explanation:

h = b ÷ 2   (multiply both sides by 2)

2 × h = b ÷ 2 × 2

2 × h = b

b = 2 × h

Answer:

2h

Step-by-step explanation:

Answer:

r = - [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

Given that r varies inversely as t , then the equation relating them is

r = [tex]\frac{k}{t}[/tex] ← k is the constant of variation

To find k use the condition t = - 6 when r = - 2, then

- 2 = [tex]\frac{k}{-6}[/tex] ( multiply both sides by - 6 )

12 = k, thus

r = [tex]\frac{12}{t}[/tex] ← equation of variation

when t = - 7, then

r = [tex]\frac{12}{-7}[/tex] = - [tex]\frac{12}{7}[/tex]

Answer: 29cm

Step-by-step explanation:

20^2+21^2=841

Then the square root of 841 is 29

The third straw should be 29cm long in order to form right angles triangles

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

Given the following

adjacent = 20 cm
Opposite side = height = 21cm

Required

Base of the ladder

Use the theorem

c^2 = 20^2 + 21^2

c^2 =  400 + 441
c^2 = 841
c = 29cm

The third straw should be 29cm long in order to form right angles triangles

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Answer: the answer is 200

Step-by-step explanation:

Answer:

59 degrees

Step-by-step explanation:

law of cosines states that

for sides A B C and angle c opposite to side C,

[tex]C = \sqrt{A^2 + B^2-2ABcos(c)} \\cos(c) = \frac{c^2-a^2-b^2}{-2ab}[/tex]

cos(b) = [tex]\frac{13^2-6^2-15^2}{-2(6)(15)} = 23/45[/tex]

cos-1(23/45) = b

b = 59

Answer:59

Step-by-step explanation:

C2=a2+b2-2ab cosC

13x13=15x15+6x6-2(15)(6)cosC

169=225+36-180cosC

169=261-180cosC

-92=180cosC

-92/-180=cosC

C=arccos92/180. On your calculator it will say cos-1

C=59.23 or m<B = 59. Rounded to the nearest degree.

Answer: The first one is 90%.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A: will be the connect with 2 sides of hypotenuse of the triangle

Answer:

3/20 of the pizza

Step-by-step explanation:

To find how much she eats in one minute, you have to change the fraction into a decimal, which is 0.75, and divide that by 5. Once you've done that, you get 0.15 of the pizza in a minute. this can be simplified into the fraction 3/20.

Answer:

3/20

Step-by-step explanation:

If she can do 3/4 per 5 minutes, the amount in 1 minute is 1 fifth of 3/4, so multiply 3/4 by 1/5 to get 3/20.

Answer:A

Step-by-step explanation:

Answer:

[tex] = 13 \frac{2}{5} [/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: \: 13\\ 5 \sqrt{67} \\ \frac{ \: \: - 65}{ \: \: \: \: \: 02} \\ \\ \\ = 13 \frac{2}{5} [/tex]

Answer:

I was on a unit test so i couldn't look at the right answer but i believe it was A but i could be wrong

Step-by-step explanation:

The given data and line of best fit (function) of y = 6.855·x + 10.215 give

the table that shows the correct residual values as follows;

[tex]\begin{array}{|c|c|c|c|}x&Given& Residual \\1&14.95&-2.12\\2&25.50&1.575\\3&32&1.22\\4&38.95&1.315\\5&42.5&-1.99\end{array}\right][/tex]

The residual values = Actual value - Predicted value

The given table is resented as follows;

[tex]\begin{array}{|c|c|c|c|}x&Given&Predicted = 6.855 \times x + 10.215& Residual = Actual - Predicted\\1&14.95&17.07&-2.12\\2&25.50&23.925&1.575\\3&32&30.78&1.22\\4&38.95&37.635&1.315\\5&42.5&44.49&-1.99\end{array}\right][/tex]

From the above completed table, the correct option is therefore;

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Answer:

log 19 + log 42

Step-by-step explanation:

798 = 2* 3 *7*19

= 19 * 42

log 798 = log (19*42)

Now log ab = log a + log b

So:

log 798 = log 19 + log 42  <-- is equivalent to log 798.

Answer:

The answer is 2.356

Answer:

B. The graph is linear and has an equation of y = -x + 18

Step-by-step explanation:

if the equation was y = -2x + 18 then the graph would look like a staircase and the graph looks linear

The statements about the box plot in Figure A2 are analyzed and determined to be true or false.

The graph in Figure A2 is a box plot. Let's go through each statement and determine if it is true or false.

A. Twenty-five percent of the data are at most five: True. The box extends from the first quartile (Q1) to the third quartile (Q3), which represents the middle 50% of the data. The line inside the box is the median, and the whiskers extend to the minimum and maximum values. In this case, the box goes up to five, indicating that 25% of the data are at most five.

B. There is the same amount of data from 4-5 as there is from 5-7: False. The box plot shows the range of values within the quartiles. In this case, the range from 4-5 is smaller than the range from 5-7, indicating that there is more data in the latter range.

C. There are no data values of three: True. The box plot does not have any outlier points at the value of three, indicating that there are no data values at that point.

D. Fifty percent of the data are four: False. The median value in the box plot is the value that divides the data into two equal halves. In this case, the median is not at four, so 50% of the data are not equal to four.

Answer:

56.3

Step-by-step explanation:

I believe it is the answer because 3×5×3.75= 56.25, and you can round that to 56.3. pls dont be mad if it's wrong. I'm like 85% confident that's the answer.

Answer:1.4

Step-by-step explanation:

Answer:

It is 1:4

Step-by-step explanation:

I got it right on ed.

Answer:

a) 95% Confidence interval = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (131/420076) = 0.0003118483 = 0.0312%

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 420,076 is obtained from the z-tables because the sample size is large enough for the properties of the sample to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error = σₓ = √[p(1-p)/n]

n = sample size = 420,076

σₓ = √(0.0003118×0.999688/420076) = 0.0000272421 = 0.0000272

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.000312 ± (1.96 × 0.0000272)

CI = 0.000312 ± 0.0000534

95% CI = (0.0002586055, 0.0003653945)

95% Confidence interval = (0.000259, 0.000365)

95% Confidence interval = (0.0259%, 0.0365%) = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Hope this Helps!!!

The minimum value is 19, maximum is 37, median is 28.5, first quartile is 23.5, and third quartile is 33.5. These measures are calculated by organizing the data in ascending order and finding the middle and approximated middle values of the data set and its halves.

First, let's arrange your data in ascending order: 19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37. There are 18 data points here.

The minimum value is 19 and the maximum value is 37.

To calculate the median (the middle number), since we have an even number of data points, we take the average of the 9th and 10th numbers. (28+29)/2 = 28.5.

Now, to find the first quartile (lower median), we look at the median of the lower half of the data (excluding the overall median if it's part of the data). The lower half of the data is: 19,20,21,22,23,24,26,27,28. So, we take the average of 23 and 24 which is 23.5.

For the third quartile (upper median), we look at the median of the upper half of the data. Here it is: 29,30,31,32,33,34,35,36,37. So, we take the average of 33 and 34 which is 33.5.

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Hey there!

| x + 11| < 17

Solving for your ABSOLUTE VALUE

x + 11 < 17 ; x + 11 > -17

Solving solution #1

x + 11 < 17

SUBTRACT by 11 on your sides

x + 11 - 11 < 17 - 11

Cancel out: 11 - 11 because it gives you 0

Keep: 17 - 11 because it helps us compare with x

17 - 11 = 6

Answer #1: x < 6

Solving solution #2

x + 11 > -17

SUBTRACT by 11 on your sides

x + 11 - 11 > -17 - 11

Cancel out: 11 - 11 because it gives you the value of 0

Keep: -17 - 11 because it helps us compare with x

-17 - 11 = -28

Answer #2: x > -28

Overall answer: x < 6 and x > -28

Its an OPEN circle shaded to the left

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

 x2 + 8x - 3

Step-by-step explanation:

 1 . ((2x2 +  4) -  5) -  (x2 - 8x + 2)  

2.  Factoring  x2+8x-3  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   8 .

Step 3. -3

  +    

1

  =    

-2

-1

  +    

  3

  =    

2

Observation : No two such factors can be found !!  

Conclusion : Trinomial can not be factored

So that the answer