Which type of function best models the data in the table? Justify your choice.

Answer:

100

Step-by-step explanation:

(b/2)^2

b= -20

(-20/2)^2

(-10)^2

100

Inequality:

3r + 24 ≥ 100

Will the students have a party if Mrs. Morton rewards them 31 additional times?

Yes

Answer:

B. 2 * log (9)

Step-by-step explanation:

I put them both into my calculator and got the same answer both times.

The expression that is equivalent to log(9^2) is 2log89. Option B is correct.

According to the law of logarithm,

log (a^b) = blog a

Note that the power of the function is taken to the back of the logarithmic function.

Given the log function log(9^2), to get the equivalent expression, we will simply take the power which is 2 to the back of the log function to have 2log9

Learn more here: https://brainly.com/question/23882267

Answer:

$205 per month

Step-by-step explanation:

Answer:

$205

Step-by-step explanation:

there are 24 months in 2 years

4920/24= 205

Answer:

1. x=13

2.x=1

Step-by-step explanation:

Answer:

Simplified expression: x^18 - x^12 + x^6

Step-by-step explanation:

1. Let us write down the question at hand, firstly: x^24 - x^18 + x^12/ x^6

2. Let us factor equation x^24 - x^18 + x^12/ x^6 ⇒ x^12(x^12 - x^6 + 1)/ x^6

3. Now apply exponential rules to get x^6 to the numerator:

x^12 - 6(x^12 - x^6 + 1)

4. Simplify this expression to be ⇒ x^6(x^12 - x^6 + 1)

5. And further simplify this expression by distributing the x^6:

Answer: x^18 - x^12 + x^6

Answer:

4/45.

Step-by-step explanation:

There are a total of 15 marbles in the bowl, so:

P(red) = 5/15 = 1/3

P(blue) = 4/15

Required probability = 1/3 * 4/15

= 4/45

Answer:

P(red, blue) = (5/15)*(4/15) = 4/45

Answer:

so 189(from 189.66) lower box tickets are sold and 18 upper box tickets are sold

Step-by-step explanation:

lets take "x" as the # of lower box tickets

and "y" as the number of upper box tickets

so in total the number of tickets sold was 208

so  x+y=208

next, we know that each lower box ticket costs 12.50 and each upper box tickets costs 10 and the total amount of money spent was $2187.50 so:

12.5x+10y=2187.50

lets subtract "x" from both sides in first equation to find value of y

y=208-x

now substitute y in equation number 2:

12.5x-10(208-x)=2187.5

12.5x-2080+10x=2187.5

22.5x-2080=2187.5

22.5x=4267.5

x=189.666

so 189 tickets lower box tickets were purchased now, substitute 190 in equation 1 to find value of "y"

y=208-190

y=18

so 189(from 189.66) lower box tickets are sold and 18 upper box tickets are sold

Answer:

Please, read the answer below.

Step-by-step explanation:

You have the following function:

[tex]f(x)=12x^4-4x^2+5[/tex]

(a) To find the intervals of increase or decrease of f(x) you first calculate the derivative of f(x):

[tex]\frac{df}{dx}=\frac{d}{dx}[12x^4-4x^2+5]\\\\\frac{df}{dx}=12(4)x^3-4(2)x=48x^3-8x[/tex]   (2)

Next, you equal the derivative to zero and obtain the roots of the obtained polynomial:

[tex]48x^3-8x=0\\\\6x^3-x=0\\\\x(6x^2-1)=0[/tex]

Then, you have the following roots for x:

[tex]x_1=0\\\\x_{2,3}=\pm \sqrt{\frac{1}{6}}[/tex] =  ±0.40

Hence, there are three special points.

Next, you evaluate the derivative (expression (2)) for the x values close to the x1, x2 and x3. The values of the derivative give to us the value of the slope of a tangent line in that point, and so, if the function increases or decreases:

First interval, for a number lower than -0.40

[tex]48(-0.41)^3-8(-0.41)=-0.02<0[/tex]

The function decreases in the interval:

[tex](-\inft,-\frac{1}{\sqrt{6}})[/tex]

It is necessary that after x=-0.40 the function increases until the next special point, that is x=0. Then, the interval in which the function increases is:

[tex](-\frac{1}{\sqrt{6}},0)[/tex]

By symmetry, from the point x=0 until x=0.40 the function decreases.

[tex](0,\frac{1}{\sqrt{6}})[/tex]

Next, you evaluate the expression (2) for a number higher than 0.40:

[tex]48(0.41)^3-8(0.41)=0.02>0[/tex]

Then, the function increases for the following interval:

[tex](\frac{1}{\sqrt{6}},+\infty)[/tex]

(b) Due to the results obtained in the previous step you can conclude that the local minimum are:

[tex]x_{min}=-\frac{1}{\sqrt{6}}\\\\x_{min}=\frac{1}{\sqrt{6}}[/tex]

[tex]P_1(-\frac{1}{\sqrt{6}},f(-\frac{1}{\sqrt{6}}))=P_1(-\frac{1}{\sqrt{6}},4.66)\\\\P_2(\frac{1}{\sqrt{6}},f(\frac{1}{\sqrt{6}}))=P_2(\frac{1}{\sqrt{6}},4.66)[/tex]

[tex]P_1(-\frac{1}{\sqrt{6}},0)\\\\P_2(\frac{1}{\sqrt{6}},0)[/tex]

(these are the point in which the function change of a decrease to an increase)

The same reason as before. There in one local maximum:

[tex]x_{max}=0[/tex]

[tex]P(0,f(0))=P(0,5)[/tex]

(c) The inflection points are calculated by using the second derivative:

[tex]\frac{d^2f}{dx^2}=144x^2-8=0\\\\x^2=\frac{8}{144}=\frac{1}{18}\\\\x=\pm \frac{1}{\sqrt{18}}[/tex]

Then , there are two inflection points , given by:

[tex]P_1(-\frac{1}{\sqrt{18}},f(-\frac{1}{\sqrt{18}}))=P_1(-\frac{1}{\sqrt{18}},4.82)\\\\P_2(\frac{1}{\sqrt{18}},f(\frac{1}{\sqrt{18}}))=P_2(\frac{1}{\sqrt{18}},4.82)[/tex]

The equation is -4h = -14

To find h, divide both sides of the equation by -4:

H = -14 / -4

H = 3.5 hours.

Step-by-step explanation:

C

Answer:

The answer is C

Step-by-step explanation:

I took the test and got it right :)

hopefully this helps you :)

pls mark brainlest ;)

Answer:

  6

Step-by-step explanation:

The slope (m) can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

  m = (2 -(-10))/(17 -15) = 12/2

  m = 6

The slope of the line is 6.

Answer:  6

Step-by-step explanation:

Answer:

180 Passenger Car Tires and 5 Tractor Tires should be produced in order to maximize profit.

Step-by-step explanation:

Here, we can form two equations from the given situation.

First, we are given that the total raw tube units are 1000. And 5 units are required for passenger car tire, while 20 units are required for tractor tire. So, the equation becomes:

5 x + 20 y = 1000   -------- eqn (1)

where,

x = no. of passenger car tires produced

y = no. of tractor tires produced

Another condition is given that, maximum labor cost should be $ 15,000. Since, the labor cost is $80 for a passenger tire and $120 for a tractor tie. Thus, the equation becomes:

80 x + 120 y = 15000   -------- eqn (2)

Solving eqn (1) and eqn (2), simultaneously, we get:

x = 180

y = 5

Therefore,

No. of Passenger Car Tires Produced = x = 180

No. of Tractor Tires Produced = y = 5

Answer:

6q or 6 * q

Step-by-step explanation:

As you do not know what the value of the variable q is, you are essentially changing it from word form to expression form.

"product" in math means multiply, so you are multiplying 6 with q.

6q is your answer.

~

Answer:

6+9=15

6×9=54

Step-by-step explanation:

didnt know which one you wanted but hope this helps

Answer:

2x^2 -5x +5

Step-by-step explanation:

f(x)=2x^2-8x+6 and g(x)=3x-1

f(x)+g(x)  = 2x^2-8x+6 +3x-1

Combine like terms

             = 2x^2 -5x +5

Answer:

2x^2 -5x +5

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2

Answer:

The answer is D.  

Step-by-step explanation:

In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2

Answer:

9 ripe tomatoes

1 1/4 red onion

4/5 garlic cloves

6 jalapeños

2/3 cup fresh cilantro

6 teaspoons ground cumin

5 1/2 teaspoons

3 teaspoons salt

30 ounces crushed tomato (2 cans)

9 ounces dices green chilies (2 cans)

Answer:

Step-by-step explanation:

its m<2=degrees

Answer:

m∠1 = 131

m∠2 = 49

m∠2 = 112

Step-by-step explanation:

Answer:

all the phones produced during the day in question.

Step-by-step explanation:

Okay, we are given the following data or information or parameters in the question above and they are; 2 % of the phones produced per day are defective, the quality of a day's production was checked by sampling 50 samples randomly.

Therefore, the best option or Explanation that best Define the population of interest to the manufacturer is; ''all the phones produced during the day in question''.

Also, the 50 phones that are sampled randomly and 2% which are defective is a condition that the manufacturer should be interested in.

Answer:

Length: 9

Width: 3

Perimeter: 24

Step-by-step explanation:

First you can set up a few equations. You know that L x W is your area, or 27.

L * W = 27

Then you also know that your length is equal to three times the width.

L = 3W

So you can substitute L into the first equation to solve for W.

3W * W = 27

3W^2 = 27

W^2 = 9

W = 3

Then you can plug 3 into either equation to solve for your length.

L = 3(3)

L = 9

Then your perimeter is just 2L + 2W

2(9) + 2(3) = 24

Answer:

Step-by-step explanation:

Let the dimensions of the rectangle be length = L and width = W. Then P = perimeter = 2L + 2W.  A = area of rectangle = L * W.  Finally, L = 3W.

Here A = 27 units^2 = W*(3W) = (3*W^2), or 3W^2 = 27 units^2, or

W^2 = 9 units^2, or W = 3 units.  Then L = 3W = 3(3 units) = 9 units.

The length of the rectangle is 9 units.  See above.

The perimeter of the rectangle is 2(9 units) + 2(3 units) = 24 units.

Answer:

About 68% (is that an answer choice?)

Step-by-step explanation:

In a normal distribution (a bell curve), about 68 percent of the data is in the range between one standard deviation below the mean to one standard deviation above.  If your mean is 27, and the standard deviation is 3, then one deviation below to one above would be 27 - 3  to 27 + 3, or 24 - 30.

Answer:

The value increases

Step-by-step explanation:

the smaller the divisor, the larger the quotient.

Answer:

  $3840

Step-by-step explanation:

The total cost is ...

  (6 hr)(cost per hr) +(120 persons)(food cost per person)

  = 6($190) +120($15 +7.50)

  = $3840

The booking at Hotel 3 would cost $3840.

Answer:

Step-by-step explanation:

The question says,

A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.

The law of large numbers tells us that as the gambler makes many bets, they will have an average payoff of which is equivalent to 0.947.

Therefore, if the gambler makes n bets of $1, and as the n grows/increase large, they will have only $0.947*n out of the original $n.

That is as n increases the gamblers will get $0.947 in n places

More generally, as the gambler makes a large number of bets on red, they will lose money.

Answer:

it will be 95%

hope that helps

Answer:

95 percent

Step-by-step explanation:

Since 20 is 1/5 of 100, one number is equivalent to 5 percent.

Multiply 5 by 19.

You will get your percentage.  

Answer:

a)The 80% of confidence interval for the Population 'μ' is

(29.9121 ,33.4879)

b) Margin of error of mean '  'μ' is  =  1.7879

Step-by-step explanation:

step(i):-

Given random sample 'n' =28

The mean of the sample x⁻ =31.7 min

The standard deviation of the sample's' =7.2

Step(ii):-

80% of confidence intervals:

The 80% of confidence interval for the Population 'μ' is determined by

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]

Degrees of freedom

γ = n-1 = 28-1 =27

[tex]t_{\frac{\alpha }{2} } = t_{\frac{0.20}{2} } = t_{0.1} = 1.314[/tex]

The 80% of confidence interval for the Population 'μ' is determined by

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]

[tex](31.7-1.314 X \frac{7.2}{\sqrt{28} } , 31.7+1.314 X\frac{7.2}{\sqrt{28} } )[/tex]

(31.7 -1.7879 , 31.7 +1.7879)

(29.9121 ,33.4879)

b)

Margin of error of mean is determined by

[tex]M.E = {\frac{t_{\frac{\alpha }{2} } s}{\sqrt{n} } }[/tex]

[tex]M.E = {\frac{1.314 X 7.2}{\sqrt{28} } }[/tex]

Margin of error =1.7879