Pre Calc Introduction to Derivatives-Using Limits Help!

Answer:

4^-2=1/16

Step-by-step explanation:

When we are multiplying exponents and the bases are the same, we add the exponents

4^6 * 4^-8

4^(6+-8)

4^-2

1/16

The total number of children who attended play is 10 and this can be determined by forming the linear equation in two variables.

Given :

The following steps can be used in order to determine the total number of children attending play:

Step 1 - Let the total number of adults attending play be 'x' and the total number of children attending play be 'y'.

Step 2 - The linear equation that represents the total number of people attending the play is:

x + y = 40

x = 40 - y    --- (1)

Step 3 - The linear equation that represents the price of all the tickets is:

12x + 8y = 440    --- (2)

Step 4 - Now, substitute the value of 'x' in the above expression.

12(40 - y) + 8y = 440

Step 5 - Simplify the above expression.

480 - 12y + 8y = 440

40 = 4y

y = 10

For more information, refer to the link given below:

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Answer:

10.00

Step-by-step explanation:

because 2.00 x 5 is 10 which is a hundred percent hope this helps!

Answer:

Step-by-step explanation:

P= (l+w)

56 = 2(l+8)

56=2l+8

56-8= 2l

48=2l

Length=24

Area = ?

A = l×w

A=24×8

Area= 192inches²

Answer:

1.

Step-by-step explanation:

We are being told that:

A scientist is hoping to compare the mean levels of DDT toxin found in three species of fish in a local river.

He randomly samples 50 of each species to use in the analysis.

i.e sample size n = 50

For each fish, he measures the amount of DDT toxin present. The amount of DDT toxin present will be use to rank the species based on the mean level of toxin.

From the information above, we will realize that the factors that are present in this study is just only one and which is the amount of DDT in a Fish because, it is the major focus in this question.

Answer:

Reject H0 as the critical region for alpha = 0.07 is  z ≤ -1.82  and z≥ 1.82

Step-by-step explanation:

For the significance level ∝ = 0.07

For a two tailed test we divide it with 2 and get 0.035

When we subtract 0.035 from 1 we get 0.965

And when we look at the z- table and corresponding to 0.965 we find the value of z to be 1.82

Now the calculated value of z=  -1.94 which is less than ±1.82.

Hence reject H0 if z ≤ -1.82  and z≥ 1.82

Therefore reject H0.

While ∝ =0.07

p- value = 0.06 should be examined

the p- value is the smallest value of ∝ where we reject H0.

Hence at ∝= 0.06  critical region is  z ≤ -1.88  and z≥ 1.88

At ∝= 0.05  critical region is  z ≤ -1.96  and z≥ 1.96

So p- value is near 0.06

Answer:

15 days

Step-by-step explanation:

It seems that the fines are 10x cents for every x days overdue. Therefore, 10x = 150 (150 because $1.50 is 150 cents) so x = 15 days.

Answer:

g,h,m

Step-by-step explanation:

All three of these line segments are perpendicular on n (which acts as the base).

Therefore , g,h,m are corresponding heights

Answer:

9s+ 14

Step-by-step explanation:

(7s+5)+(5+9)

(7s+2s) +(5+9)

(9s)+(14)

Start by moving your numbers around so your like terms are by each other.

Then combine you like term so numbers with letters with numbers and letters the plain numbers and plain numbers.

once you do that your equation is simplify as far as possible

Answer:

D.) MC≅MC

Step-by-step explanation:

We already know that the hypotenuses are the same (because of that tiny line), so we need the legs (HL: hypotenuse-leg). As we can see in the picture, MC is a shared side of both triangles, and this is also the leg. Option D is correct.

:Done

Answer:

55mph

None of the option is correct

Step-by-step explanation:

Let v be the speed and t as the time taken. If speed varies inversely as the time it takes to drive, then v ∝ 1/t.

v = k/t where k is the constant of proportionality.

IF it takes Kris 5 hours when driving at 55 mph, then v = 55mph when t = 5 hours.

Substituting this values into the formula above;

55 = k/5

k = 55*5

k = 275mp/hr²

To calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t

v = 275/5

v = 55 mph

Hence, martin will also need to drive at 55mph to take 5 hours

Answer:

Rectangles

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\mathrm{Rectangles}}[/tex]

Step-by-step explanation:

Figure A and figure B are rectangles.

Rectangles have opposite sides equal and parallel.

Rectangles have 4 right angles and 4 pairs of perpendicular sides.

Answer:

C) P(x)=1.10x+25

Step-by-step explanation:

The algebraic expression for the amount Ana will pay for furniture with a pretax price of x dollars = 1.1x + 25

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Learn more about algebraic expression here

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Answer:

the distance from Fresno to San Francisco on the second map is 75cm

Step-by-step explanation:

The scale on the first map is 1 cm to 20 km

The distance from Fresno to SanFrancisco is 15 cm

1cm/20km = 15cm

The scale on the second map is 1 cm to 100 km.

1cm/100km = x

X= 15cm*100km/20km *1cm/1cm

X=15cm *5

X= 75 cm

the distance from Fresno to San Francisco on the second map is 75cm

Answer:

(-3/4)x^2 + 6x = 3

Step-by-step explanation:

It takes 8 seconds for the ball to reach its maximum height and then return to ground level; thus, the highest point (vertex) the ball will reach is reached after 4 seconds.  The graph showing this motion is a parabola that opens down.  Thus, the coefficient 'a' must be negative.

Returning to a * x ^ 2 + bx + c, we write out two instances of this formula, one for x = 0 and the other for x = 8.  This is because {0, 8} are the x-intercepts.

Then, for x = 0, a * x ^ 2 + bx + c   becomes  a * 0 ^ 2 + b*0 = 0,

and for x = 8,  a * x ^ 2 + bx + c  becomes  a(8)^2 + b(8) + c = 0

The first equation tells us that 'c' must be 0.  The second equation tells us that  64a + 8b = 0, which is equivalent to 8a = -b, or a = -b/8.

We then have the quadratic function  (-b/8)x^2 + bx + 0.  All we have to do now is to find the value of b.  The vertex of this parabola is (4, 12), and so the quadratic becomes

(-b/8)(4)^2 + b(4) = 12.  To solve this for b, multiply all terms by 8:

-b(16) + 32b = 96, or

16b = 96, or b = 6.  Since a = -b/8 (see above), a = -6/8 or a = -3/4.

Then the equation of motion is

height of ball = (-3/4)x^2 + 6x

We want to know when the ball is at a height of 3 m.  Thus, set this equation of motion = to 3 and solve for x (the times at which height = 3 m):

(-3/4)x^2 + 6x = 3            This is the desired quadratic equation.

Answer:

y= -3/2x + 5/2

Step-by-step explanation:

Given:

To find:

The given line has a slope of -3/2

The parallel line will have the same slope

The point-slope form:

We have m = -3/2, y1= -2, x1 = 3, plug in:

or

Answer:

63,127

Step-by-step explanation:

the interval between each number is multiplied by 2

such as between 1 and 3 we have 2 so 2×2=4

the 4+3=7 and so on

Answer: 63, 127

Step-by-step explanation: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127

Or, if we call the first value  a1 , the sequence is given by  an=2n−1

The first approach to analyzing almost any sequence is to look at the differences of successive elements. In this sequence, that’s 2, 4, 8, 16, 32. That makes the answers above pretty easy.

Answer:

discrete probability distribution

Step-by-step explanation:

A discrete probability distribution is a term that describes a form of a probability distribution that is used in a situation where the set of possible outcomes is discrete.

While it also has a tendency to take on a countable number of values, it is a probability distribution where a sample is drawn from a larger population, this sample points possess an empirical distribution that is considered to be discrete, which resulted in information about the population distribution.

Hence, given that Bob is dealing with discrete data and the samples are drawn without replacement, the likely probability distribution is DISCRETE PROBABILITY DISTRIBUTION

Answer:

see below

Step-by-step explanation:

Find the slope

m= ( 40.12 - 11.02)/ (400-100)

   = 29.1 / 300

   =.097

We can use the linear form y = mx+b

y =.097x +b

40.12 = .097 ( 400) +b

40.12 = 38.80 +b

1.32 = b

y = 0.097x + b

C(x) = .097x + 1.32

The fixed cost is b = 1.32

C(1001) =   .097(1001) + 1.32

            =98.417

The marginal cost is the cost of adding one more item, which is the slope

.097 is the marginal cost

It means to make one more cup of coffee will cost $.097

Answer: c. 42%.

Step-by-step explanation:

P(ship A reaches target) : P(A) = 0.30

P(ship B reaches target) : P(B) = 0.60

P( Ship B not reaching target ) : P(B^c) = 1 - p(B) = 1 - 0.60 = 0.40

P( Ship A not reaching target ) : P(A^c) = 1 - p(B) = 1 - 0.30 = 0.70

NOW

define A for A wins

define A^c for A loss

define B for B wins

define B^c for B loss

A ⇒ P(A) = 0.30

A^c B^c A ⇒P(A^c B^c A) = 0.70 × 0.40 × 0.30

A^c B^c A^c B^c A ⇒ P(A^c B^c A^c B^c A) = ( 0.70 × 0.40)² × 0.30

↓↓↓

∴P(A survives) = sum of all probabilities

⇒ 0.30 + ( 0.70 × 0.40 × 0.30 ) + ( 0.70 ×0.40 )² × 0.30 +...........................

⇒ 0.30 [ 1 + ( 0.28) + (0.28)² +..........................]

Now sum of geometric series S∞ = a / 1-β = 1 / 1 - 0.28

∴ 0.30 × 1/1-0.28 = 0.42

now converting to percentage

0.42 × 100 = 42%

Ship A's survival probability is 42%

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur. Mathematically,

Probability = Expected outcome/Total outcome

If the spinner has 10 equally sized sections 5 of which are gray and 5 of which are blue, the total outcome will be equal to 10.

The probability that spinning lands on blue = 5/10

The probability that spinning lands on gray = 5/10

The probability that the first spin lands on gray and the second spin lands on blue is 5/10*5/10 = 25/100

25/100 = 1*25/(4*25) = 1/4

Hence, the probability that the first spin lands on gray and the second spin lands on blue in its simplest form is 1/4

Answer:

0.1^5=0.00001

Step-by-step explanation:

[tex]0.1^5\\0.1^5=0.00001[/tex]

Answer:

The evidence provided does not statistically  support  the researcher’s belief

Step-by-step explanation:

From the question we are told that

   The sample size of each political party  is [tex]n = 200[/tex]

   The  number of democrats that favor death penalty is  [tex]k = 34[/tex]

    The  number of republicans that favor death penalty is  [tex]u = 46[/tex]

Generally the sample proportion for Republicans is

       [tex]\r p_1 = \frac{ 46}{200}[/tex]

        [tex]\r p_1 = 0.23[/tex]

Generally the sample proportion for Democrats is

        [tex]\r p_2 = \frac{ 34}{200}[/tex]

        [tex]\r p_1 = 0.17[/tex]

The  null hypothesis is  [tex]H_o : \r p _1 = \r p_2[/tex]

The  alternative hypothesis is [tex]H-_1 : \r p_1 > \r p_2[/tex]

  Generally the pooled population proportion is evaluated as

        [tex]\r p = \frac{ k + u }{n + n }[/tex]

         [tex]\r p = \frac{ 34 + 46 }{200 + 200 }[/tex]

        [tex]\r p = 0.2[/tex]

The test statistics is evaluated as

           [tex]t = \frac{ \r p _1 - \r p_2 }{\sqrt{ \r p (1 - \r p ) [\frac{1}{n} +\frac{1}{n} ]} }[/tex]

          [tex]t = 1.5[/tex]

The  p-value is obtained from the z-table  the value is  

      [tex]p-value = P(Z> 1.50 ) = 0.066807[/tex]

=>   [tex]p-value = 0.066807[/tex]

Given that [tex]p-value > \alpha[/tex] then we fail to  reject the null hypothesis this mean that there is no sufficient evidence to support the researcher’s belief

Answer:

x=4

Step-by-step explanation:

Building an equation and solving it, it is found that the number is 4.

------------------------------

------------------------------

The equality is:

[tex]x^2 = 8x - 16[/tex]

[tex]x^2 - 8x + 16 = 0[/tex]

Applying the perfect square binomial:

[tex](x - 4)^2 = 0[/tex]

[tex]\sqrt{(x - 4)^2} = \sqrt{0}[/tex]

[tex]x - 4 = 0[/tex]

[tex]x = 4[/tex]

The number is 4.

A similar problem is given at https://brainly.com/question/20742606

The answer is

A : x=-5

Answer:

0

Step-by-step explanation:

Natural numbers or the counting numbers is all the positive, non-decimal numbers. They are 1, 2, 3... and so on. Natural numbers does not include 0.

Whole numbers are all the natural numbers with the addition of 0. In other words, whole numbers are: 0, 1, 2, 3... and so on.

Therefore, the only number that is a whole number and that's not a natural number is 0.

Answer: 0

Step-by-step explanation: The set of counting numbers, {1, 2, 3, 4, ...}

is called the set of natural numbers.

When we include 0 in the set of natural numbers,

the new set, {0, 1, 2, 3, ...} is called the set of whole numbers.

Notice that all natural numbers are

included within the set of whole numbers.

We can represent the relationship between these two

sets of numbers using the diagram shown below.

In fact, 0 is the only whole number that's not a natural number.

Answer:

11

Step-by-step explanation:

f(x) = 3x + 2

Let x = 3

f(3) = 3*3 +2

f(3) = 9+2

      = 11

Answer:

Step-by-step explanation:

f(x) = 3x + 2

In order to find f(3) substitute the value of x that's 3 into f (x) that's replace every x in f (x) by 3

That's

f(3) = 3(3) + 2

= 9 + 2

We have the final answer as

Hope this helps you

Answer:

A) Cross-sectional

Step-by-step explanation:

A cross-sectional study is a type of study that involves the data i.e. taken from a population for a specific time period.

Here study shows the peoples interest in variables that are be chosen

In the given situation, since a town obtains a data of the current employment for 10,000 of its total citizens

So this represents the cross-sectional

hence, the correct option is A.   Cross-sectional

Answer:

0

Step-by-step explanation:

In the roll of a pair of fair dice, The sample space is as follows:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

If x,y represent  the  possible outcome of rolling the two die

Then the total number of possibilities for  the sample space = (x,y)

= (6 × 6) = 36

Now, the probability of getting a sum of 1 does not exist in the roll of a pair of  fair dice.

Therefore, Probability(1) = 0