What is the constant of proportionality for the data in the table?

Answer: m is slope and b is y intercept

Step-by-step explanation:

M is the slope and b is the y- intercept. Hope that helps.

Answer:

8 & 4

5 & 1

2 & 7

Step-by-step explanation:

8 & 4 are corresponding angles

5 & 1 are corresponding angles

2 & 7 are alternate exterior angles

Answer:

Step 4

Step-by-step explanation:

Answer:

the slope is 15

Step-by-step explanation:

Answer:

15% off

Step-by-step explanation:

You take your 975 and divide it

Answer:

The percentage markdown is 15 % .

Answer:

[tex]x=\{\frac{3\pi}{4}, \frac{7\pi}{4}\}[/tex]

Step-by-step explanation:

For the tangent line to be horizontal, the derivative of the function at that point must be 0.

Thus, let’s first take the derivative of our function:

[tex]f ^\prime(x)=\frac{d}{dx}[\cos(x)-\sin(x)][/tex]

Differentiate:

[tex]f^\prime(x)=-\sin(x)-\cos(x)[/tex]

Now, let’s set our derivative equal to 0:

[tex]0=-\sin(x)-\cos(x)[/tex]

Let’s multiply everything by a negative:

[tex]0=\sin(x)+\cos(x)[/tex]

To solve for x, we can subtract sin(x) from both sides. This gives us:

[tex]\cos(x)=-\sin(x)[/tex]

Now, we can refer to the unit circle. First, remember that the only points for which cosine is equal to sine is at the π/4 points. That is, π/4, 3π/4, 5π/4 or 7π/4.

However, cosine is equal to negative sine. The only two quadrants for which cosine and sine are the same but also have opposite signs is QII and QIV.

Therefore, our answers are 3π/4 and 7π/4.

Answer:

28 feet

Step-by-step explanation:

A monkey sits on a limb that is 25 feet above the ground

He swings up 10 feet

Climbs up 6 feet

He then jumps down 13 feet

Therefore the distance of the monkey from the ground can be calculated as follows

= 25 + 10 +6 - 13

= 41-13

= 28 feet

Answer:Therefore Natalie bought   3 water melons  and  10 strawberries

Step-by-step explanation:

Step 1

let watermelons be represented by w

and strawberries be represented by s

Step 2

5w +3s = $45.......eqn 1

w+s=13..........eqn 2

Making w subject of formulae and substituting in equation 2

w= 13-s

5(13-s) + 3s=45

65-5s+3s =45

65-45=5s-3s

20=2s

s=20/2=10

substituting s=10  in equation 2

w +10=13

w= 13-10

w=3

Therefore Natalie bought   3 water melons  and  10 strawberries

Answer:

8?

Step-by-step explanation:

Answer:

a). <3 corresponds with <7

b). <6 is an alternate interior to <4

c).  <7 is an alternate exterior to <1

d).  <4 is a same side interior  to <5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Get as close as possible to the number you're trying to square root by finding two perfect square roots that gives a close number. Divide: Divide your number by one of the square roots you've chosen from the previous step. Average: Take the average of step 2 and the root.

Answer:you guyys i need help on multiple questions first 1  

Interpret the inequality 2 < 13 as a statement about the relative position of 2 and 13 on a number line.(1 point)

2 and 13 are both to the right of 0.

2 and 13 are both to the right of 0.

2 is 15 units to the left of 13 on a number line.

2 is 15 units to the left of 13 on a number line.

2 is 11 units to the left of 13 on a number line.

2 is 11 units to the left of 13 on a number line.

2 is 11 units to the right of 13 on a number line.

Step-by-step explanation: HALP

Answer:

Yes.

Step-by-step explanation:

Because 4(x+2)-5 will equal 4x+3 and 4x is the X-intercept; there for 3 is the Y-intercept.

Answer:

The zero value of the function occurs at s = 4

Step-by-step explanation:

The given function for the amount of money, m, Jason has left after buying s number of sno-cones for his friend is m = 5 - 1.25·s

Therefore, we have generated from Microsoft Excel the following data table used to plot the points on the graph

Number of Sno-cones          [tex]{}[/tex]        Amount of money left

0                                    [tex]{}[/tex]                        5

1                                    [tex]{}[/tex]                         3.75

2                                    [tex]{}[/tex]                        2.5

3                                    [tex]{}[/tex]                        1.25

4                                    [tex]{}[/tex]                        0

Therefore, as seen from the above table, and from the attached graph, the zero value of the function occurs at the value where the amount of money left (y-coordinate value) is 0 which is at the value of s = 4.

Answer:

59%

Step-by-step explanation:

it says there is 200 animal and 82 are cats. we're trying to find the number of dogs. So subtract 82 from 200. that equals 118/200. 118/200 is 59%

If there are 200 animals at the rescue center, the percentage of animals that are dogs is 59%.

Given the following data:

To find the percentage of animals that are dogs:

[tex]Total \;animals = C + D[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]200 = 82 + D\\\\D = 200 - 82[/tex]

Dogs, D = 118 dogs.

Now, we can find the percentage of animals that are dogs:

[tex]Percent = \frac{D}{T}\times 100\\\\Percent = \frac{118}{200}\times 100\\\\Percent = 0.59 \times 100[/tex]

Percent of dogs = 59%

Read more: https://brainly.com/question/13282374

Answer:

negative

Step-by-step explanation:

:Done

Answer:

well shiet

Step-by-step explanation:

y=5/3x+9 is the slope intercept form of the equation of line   20x-12y=-108

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The given equation is 20x-12y=-108

We need to write this equation in the form of slope intercept form.

To do this we have to isolate the y term

-12y=-108-20x

Now divide both sides by 12 and multiply with minus.

y=9+20/12x

y=9+5/3x

y=5/3x+9 is the required equation.

Hence,  y=5/3x+9 is the slope intercept form of the equation of line   20x-12y=-108

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ3

Answer: 35, 9, 70

Step-by-step explanation:

Answer:

1575 kg

Step-by-step explanation:

Decay rate formula =

N(t) = No(1/2)^t/t½

No = Initial amount = 12600kg

N(t) = Amount after time t

t½ = half life = 8 days

t = time = 24 days

N(24) = 12600 × (1/2)^24/8

1575kg

Answer:

x-intercept: x=-8+2y

y-intercept: y=4+[tex]\frac{1}{2}x[/tex]

Coordinate pairs: (-8,0) , (0,4)

Step-by-step explanation:

A survey found that​ women's heights are normally distributed with mean 64.2 in. and standard deviation 4.2 in. The survey also found that​ men's heights are normally distributed with mean 70.1 in. and standard deviation 4.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts​ (a) and​ (b) below

a) find the percentage of women meeting the height requirement

b) find the percentage of men meeting the height requirement

Answer:

a

P(57 <  X <  63) = 34.4%

b

P(57 <  X <  63) =  4.096%

Step-by-step explanation:

From the question we are told that

    The mean of women's height is [tex]\mu_ 1 = 64.2[/tex]

    The standard deviation is [tex]\sigma_1 = 4.2 \ in[/tex]

     The mean of men' height is [tex]\mu_2 = 70.1 \ in[/tex]

     The standard deviation of men's height is [tex]\sigma_2 = 4.1 \ in[/tex]

      The minimum height requirement is  a =  57 in

      The maximum height requirement is  b = 63 in

Generally the percentage of women meeting the height requirement  is mathematically represented as

     [tex]P(57 < X < 63) = P(\frac{ 57 - 64.2}{ 4.2} < \frac{X - \mu_1}{\sigma_1} < \frac{ 63 - 64.2}{ 4.2} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

So

      [tex]P(57 < X < 63) = P( -1.7143 < Z <-0.2857)[/tex]

=>  [tex]P(57 < X < 63) = P ( Z <-0.2857) - P(Z < -1.7143)[/tex]

Generally from the z table the probability of  ( Z <-0.2857)  and  (Z <  -1.7143) is  

    P( Z <-0.2857)   =  0.38755

 and

    P(Z <  -1.7143) =  0.043237

So

   P(57 <  X <  63) = 0.38755  - 0.043237

=>  P(57 <  X <  63) = 0.3443

Converting to percentage

     P(57 <  X <  63) = 0.3443  * 100 =  34.4%

Generally the percentage of men meeting the height requirement  is mathematically represented as

     [tex]P(57 < X < 63) = P(\frac{ 57 - 70.1}{ 4.1} < \frac{X - \mu_1}{\sigma_1} < \frac{ 63 - 70.1}{ 4.1} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

So

      P(57 <  X <  63) = P( -3.1951  < Z <-1.7317)

=>  [tex]P(57 < X < 63) = P ( Z <-1.7317) - P(Z < -3.1951)[/tex]

Generally from the z table the probability of  ( Z <-0.2857)  and  (Z <  -1.7143) is  

    P( Z <-1.7317)   =  0.041663

 and

    P(Z <  -3.1951 ) =  0.00069891

So

   P(57 <  X <  63) = 0.041663  - 0.00069891

=>  P(57 <  X <  63) = 0.04096

Converting to percentage

     P(57 <  X <  63) = 0.04096   * 100 =  4.096%

Answer:

1-jail for 1 month

2-prombation for 1 month

3-speak to schools

4-solitary confindment for 1 year

5-half life in prison

Step-by-step explanation:

hope this helps!

Answer:

1) jail for a month

2) probation for 10 months

3) speak to schools

4) regular prison for 10

5) lifetime on probation

Step-by-step explanation:

❤️❤️❤️

Answer:

Step-by-step explanation:

y-intercept form: y =mx +b

Here m is slope and b is y-intercept

A) y = 4x + 5

Slope = 4

y-intercept = 5

B) y = 1/4x -2

Slope = 1/4

y-intercept = -2

Answer:

1:9

99:11

9:11

1:99

Step-by-step explanation:

Answer:

18000

Step-by-step explanation:

4500=1/4 of year

to get year we x 4

4500x4=18000 dollars

Ms. Lisak’s yearly salary will be equal to $18000.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Ms. Lisak’s salary is $4,500 quarterly. Yearly salary will be calculated by making an expression as below,

Multiply the quarterly salary by 4.

4500=1/4 of year

To get a year we multiply by 4.

4500x4 = 18000 dollars

The yearly salary will be $18000.

To know more about an expression follow

https://brainly.com/question/12640505

#SPJ2

Answer:

Question 2: D. 604.9

Question 3: 80 oranges or 10/30 or 1/3

Step-by-step explanation:

For question 2:

Okay so, Hal has 5 3/4 bags of munch and each bag covers 105.2 area. We can take the whole number that is already there (5) and multiply it by 105.2 since it is the amount of 1 full bag. So: 5(105.2) is equal to 526.

Now we have to figure out how much 3/4 of a bag is. So take the amount of the full bag and divide it by the denominator (4). So: 105.2/4 is equal to 26.3. Now we know that for 1/4 of a bag it can cover 26.3. We are trying to find the 3/4 so take 1/4 and multiply it by 3 to get 3/4. We can do the same to the amount it is equal with: 26.3(3) and you get 78.9 as an amount of 3/4 of a bag of munch.

Now we add the 3/4 and 5 whole bags: 526.0+78.9=604.9

Our final answer is 604.9 so, option D is correct.

For question 3:

Basically taking all the given fractions: 1/5, 1/6 and 3/10. The lowest amount I can think of is multiplying the denominators to get 30 since they can all equal to 30. So multiply the denominator and numerator for each fraction:

1/5x6=6/30

1/6x5=5/30

3/10x3=9/30

Notice that the denominators are all equal to 30 so this allows us to now add them together.

6/30 + 5/30 + 9/30 = 20/30

Now we know that all together 20/30 is the already know fruits we can easily assume the 10/30 is the amount of oranges. We need to figure out the whole number and not the fraction so, take 240 and divide it by the denominator (30) and we get how much 1/30 is worth in a whole number. So: 240/30=8.

Now we know that 1/30=8 pieces of fruit. Take the 20/30 for already known fruit and we get 160. Take the 10/30 for oranges and we get: 10/30(8) is equal to 80 oranges.

So:

80 oranges

160 other known fruits

Basically 160=2/3 and 80=1/3.

We can check if this is true by:

2/3 (known fruit) and multiply the denominator and numerator by 10 to get 30:

2/3(10)= 20/30. We know this correct because 20/30 is the same as the known fruits fraction we got earlier. Next 1/3(10)=10/30 the 10/30 that was also equal to the amount of oranges.

Our final answer is 80 oranges or 10/30 or 1/3

I hope this helps:)

Answer:

70

Step-by-step explanation:

Answer:

(70 / 185) x 100 = 37.84%

Step-by-step explanation: