Let f(x)=6/−2+2e^−0.3x . What is f(−4) ?

DID THE TEST
ANSWER: 1.3

Answer:

We can start solving this problem by first identifying what the elements of the sets really are.

R is composed of real numbers. This means that all numbers, whether rational or not, are included in this set.

Z is composed of integers. Integers include all negative and positive numbers as well as zero (it is essentially a set of whole numbers as well as their negated values).

W on the other hand has 0,1,2, and onward as its elements. These numbers are known as whole numbers.

W ⊂ Z: TRUE. As mentioned earlier, Z includes all whole numbers thus W is a subset of it.

R ⊂ W: FALSE. Not all real numbers are whole numbers. Whole numbers must be rational and expressed without fractions. Some real numbers do not meet this criteria.

0 ∈ Z: TRUE. Zero is indeed an integer thus it is an element of Z.

∅ ⊂ R: TRUE. A null set is a subset of R, and in fact every set in general. There are no elements in a null set thus making it automatically a subset of any non-empty set by definition (since NONE of its elements are not an element of R).

{0,1,2,...} ⊆ W: TRUE. The set on the left is exactly what is defined on the problem statement for W. (The bar below the subset symbol just means that the subset is not strict, therefore the set on the left can be equal to the set on the right. Without it, the statement would be false since a strict subset requires that the two sets should not be equal).

-2 ∈ W: FALSE. W is just composed of whole numbers and not of its negated counterparts.

Step-by-step explanation:

Certain elements and sets are examined for their relationships with the sets of real numbers, integers, and whole numbers; identifying which elements belong to which sets and if one set is a subset of another.

When comparing different sets of numbers, we analyze whether one set is a subset of another and whether certain elements belong to specific sets. The given question involves the sets R (real numbers), Z (integers), and W = {0, 1, 2, ...}, also known as the set of whole numbers or non-negative integers.

→ W ⊂ Z: This is true because all elements of W are non-negative integers, which are a subset of Z, the set of all integers including negative, zero and positive whole numbers.

→ R ⊂ W: This is false because the set of real numbers includes irrational numbers as well as negative numbers, which are not included in W.

→ 0 ∈ Z: This is true because zero is an integer and, therefore, is an element of Z.

→ ∅ ⊂ R: This is true because the empty set is a subset of all sets, including the set of real numbers.

→ {0, 1, 2, ...} ⊆ W: This is true because this set is exactly W itself, and a set is always a subset of itself.

→ -2 ∈ W: This is false because W contains only non-negative integers, and -2 is a negative number.

Answer:

€83.60 = £62.70

Step-by-step explanation:

£3/€4 = £x/€ 83.60

¾ = x/83.60

Multiply each side by the lowest common denominator (4 × 83.60)

3 × 83.60 = 4x

Divide each side by 4

x = (3 × 83.60)/4 = £62.70

∴ €83.60 = £62.70

(The conversion factor is out of date. The current conversion factor is closer to £6 = €7.)

Using the given exchange rate, we set up a conversion equation and solve for the unknown variable. We find that €83.60 is roughly equivalent to 62.86 pounds.

Based on the given exchange rate, 1 pound (£) is equivalent to 1.33 Euros (€). Therefore, to convert €83.60 to pounds, we should do the following:

Therefore, €83.60 is approximately equivalent to 62.86 pounds.

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Answer:

Just B and C

Step-by-step explanation:

Reduce this to the lowest amount possible.

log(3abc/6a^2b) = 2

=================

log(c/2a)  = 2

c/2a = 10^2

c = 2a * 100

c = 200a

This one is also correct.

=================

The rest are just incorrect.

There is only 1 answer that works and that is B.

C is close, but it is not correct.

D is backwards. B is the right way and D is the upside down of B.

E and F are just not the way to handle logs. Subtracting logs means division, not multiplication and not 1 log.

=================

Answer:

The perimeter of a circle can be found by using the followinfg expression

P = 2*π*r

where

π = 3.14

r  = radius of the circle = half the diameter of the circle

In this case, if we are given the radius, we use

P = 2*π*r

If we are given the diameter, we use

P = 2*π*(D/2) = π*D

1) 27in

radius = 27in

P = 2*(3.14)*(27 in) = 169.56 in

diameter = 27 in

P = (3.14)*(27 in) = 84.78 in

2) 79 in

radius = 79 in

P = 2*(3.14)*(79 in) = 496.12 in

diameter = 79 in

P = (3.14)*(79 in) = 248.06 in

3) 1809 in

radius = 1809 in

P = 2*(3.14)*(1809 in) = 11360.52 in

diameter = 1809 in

P = (3.14)*(1809 in) = 5680.26 in

4) 152 in

radius = 152 in

P = 2*(3.14)*(152 in) = 954.56 in

diameter = 152 in

P = (3.14)*(152 in) = 477.28 in

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of regular polygon with n sides of length b and apothem a:

[tex]A=\dfrac{nba}{2}[/tex]

We have:

n = 6

b = 8

a = 6

Substitute:

[tex]A=\dfrac{(6)(8)(6)}{2}=144[/tex]

The perimeter:

[tex]P=6b\to P=(6)(8)=48[/tex]

Answer:

160 cm³

Step-by-step explanation:

1. Calculate the base area of the cone

The volume for the volume (V) of a cone is

V = ⅓Ah

Data:

V = 100 cm³

h = 15 cm

Calculation:

100 = ⅓ A× 15

100 = 5A

A = 100/5 = 20 cm²

2. Volume of Pyramid.

The volume for the volume (V) of a square pyramid is  

V = ⅓Ah

Data:

A = 20 cm²

h = 24 cm

Calculation:

V = ⅓× 20× 24 = 160 cm³

The volume of the square pyramid is 160 cm³.

ANSWER

The correct answer is A.

EXPLANATION

The given expression is

[tex]( \frac{ {p}^{12} {q}^{ \frac{3}{2} } }{64} ) ^{ \frac{5}{6} } [/tex]

Recall that:

[tex] {a}^{ \frac{m}{n} } = (\sqrt[n]{a} ) ^{m} [/tex]

For the given expression,

[tex]m = 5[/tex]

[tex]n = 6[/tex]

and

[tex]a = \frac{ {p}^{12} {q}^{ \frac{3}{2} } }{64} [/tex]

We substitute all these values to obtain the radical form:

[tex]( \frac{ {p}^{12} {q}^{ \frac{3}{2} } }{64} ) ^{ \frac{5}{6} } = ( \sqrt[6]{( \frac{ {p}^{12} {q}^{ \frac{3}{2} } }{64} ) })^{5} [/tex]

The correct choice is A.

Answer:

I believe the answer is A. 17, 17, 13, 28, 28, 26, 37, 35

The answer is C.

The stem, shows the number before the decimal point. The higher the number, the longer the stem goes down.

The leaf, shows the number after the decimal point. Each leaf is added to a row to match the stem of the original number.

1.3, 1.7, 1.7 all have a "1" before the decimal so they all go in the same row like this:

1 | 3 7 7

If we keep doing this, we see that C is the correct answer.

Best of Luck!

Answer:45000,000,000,000

Step-by-step explanation:you just have to times it

Answer:

Median for sample 1 = 142

Median for sample 2 = 134

Step-by-step explanation:

For Sample 1:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

120, 130, 132, 136, 139, 142, 142, 144, 156, 165, 167

The formula for calculating the term which will be median is:

Median= ((n+1)/2)

Here in sample 1, n=11

So, putting n=11 in the formula

= ((11+1)/2)

= (12/2)

=6th term

The sixth term is 142, so

Median of sample 1=142

For Sample 2:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

112, 112, 113, 114, 125, 134, 141, 145, 146, 163, 165

The formula for calculating the term which will be median is:

Median= ((n+1)/2)

Here in sample 2, n=11

So, putting n=11 in the formula

=((11+1)/2)

=(12/2)

=6th term

The sixth term is 134, so

Median of sample 2=134

Answer:

option B [tex]D=6\ ft[/tex]

Step-by-step explanation:

we know that

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

In this problem we have

[tex]V=36\pi\ ft^{3}[/tex]

substitute and solve for r

[tex]36\pi=\frac{4}{3}\pi r^{3}[/tex]

simplify

[tex]27=r^{3}[/tex]

[tex]r=3\ ft[/tex]

Find the diameter

[tex]D=2r=2(3)=6\ ft[/tex]

Answer:

b)6

Step-by-step explanation:

Answer:

5.1 days

Step-by-step explanation:

Given in the question,

initial amount of substance = 34 grams

k-value = 0.137

To find the half life of this substance we will use following formula

[tex]N(0)/2 = N(0)e^{-kt}[/tex]

here N(0) is initial amount of substance

        t is time in days

Plug values in the formula

[tex]34 /2 = 34e^{-0.137t}[/tex]

1/2 = e^{-0.137t}

Take logarithm on both sides

ln(1/2) = ln( e^{-0.137t})

ln(1/2) = -0.137t

t = ln(1/2) / -0.137

t = 5.059

t ≈ 5.1 days (nearest to tenths)

Answer:

it would be great if you provided a question here..!

Step-by-step explanation:

Answer:

A) 90

Step-by-step explanation:

"The sum of two integers is 23" becomes

a + b = 23

"the positive difference of the same two integers is 13" becomes

a - b = 13        (difference means subtract)

Now solve the system..

a + b = 23

a - b = 13            *use addition or elimination method, since b has opposite coefficients...

2a = 36             ( we add the two equations together)

   a = 18             (divide by 2 on both sides)

Since a = 18,   18 + b = 23, gives us b = 5.     (18 + 5 = 23)

ab = (18)(5) = 90

Answer: A) 90

Let one integer is = x.

Sum of them is 23. So the other integer is (23 - x).

Given: Difference = 13.

So,

[tex]x-(23-x)=13\\ x-23+x=13\\ 2x=36\\ x=18[/tex]

So the other number is = 23 - x = 23 - 18 = 5.

So the product = 18*5=90

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Answer:

6387 km

Step-by-step explanation:

6378 km -9.4 km =

6386.6 km

Round to the nearest tenth: 63787 km

Hope I helped, sorry if not tho

The answer will be

x=5 or x=-5

hope this help

Answer:

36 cups

Step-by-step explanation:

If you notice, 6 times 9 is 54. So, 4 times 9 is 36. You need 36 cups of strawberries!

Answer:

x-bar 64.5 is a statistic because it describes a sample.

Mu 63 is a parameter because it describes a population.

The symbol for mu is a Greek m

Step-by-step explanation:

Final answer:

A random sample mean, like the 64.5 inches height for female college students, is a statistic denoted as \( \bar{x} \), while the mean height of all adult American women is a parameter denoted as \( \mu \). Determining whether a number is a parameter or statistic informs how it is used in hypothesis testing and confidence interval construction.

Explanation:

When identifying whether the numbers are parameters or statistics, it's important to distinguish between data collected from a population or a sample. In the scenarios mentioned, such as when a random sample of female college students has a mean height of 64.5 inches, we are dealing with a statistic. This is because it is a measure obtained from a sample. The appropriate notation for this sample mean would be \( \bar{x} \). This contrasts with the information such as the mean height of all adult American women, which is a parameter because it relates to the entire population. The notation for a population mean is \( \mu \). Considering other examples provided, when we calculate a p-value or when we undertake a study and calculate the difference in mean heights between groups, we are dealing with statistics.

In practice, the difference between statistics and parameters is essential for hypothesis testing, constructing confidence intervals, and making inferences about the population based on sample data. For example, if the p-value is close to zero in a test related to the mean height of high school basketball players, it suggests that there is strong evidence against the null hypothesis \( H_0 \), which posits no effect or no difference. The alternative hypothesis \( H_1 \) would be that there is a significant difference.

Answer:

whichever is closest to 3.032787

See the attached picture:

Answer:

(sin^2 w + 1) / cos w.

Step-by-step explanation:

Note: sec w = 1 / cos w and csc w = 1/ sin w.

So we have:

(sec w(1 + csc^2 w)) / (csc^2 w)​

= 1/cos w (  1 + 1/ sin^2 w)  /   (1 / sin^2 w)

= ( 1/ cos w + 1 / sin^2 w cos w) * sin^2 w

=  sin^2 w/ cos w + sin^2 w / (sin^2 w cos w)

= sin^2 w / cos w + 1 /  cos w

=  (sin^2 w + 1) / cos w.

15 - 25% = 14.47 ounces of shampoo

The original shampoo bottle held 12 ounces before the 25% increase to 15 ounces. For the tile cleanser, the percent by mass of HCl is calculated to be 14.84%. Discussions of consumer product concentrations, like laundry detergent costs per ounce, often involve linear relationships and predictive models.

The question requires understanding percent increase and how to calculate the original amount given the increased quantity. To find the original volume of the shampoo bottle before the 25% increase, we set up the equation where the original volume (V) times 1.25 (to represent the 25% increase) equals the new volume of 15 ounces:

V x 1.25 = 15 ounces

To solve for V, we divide both sides of the equation by 1.25:

V = 15 ounces / 1.25

V = 12 ounces

Therefore, the old bottle held 12 ounces of shampoo.

To address another concept related to consumer products, the question on mass percentage, namely the percent by mass of HCl in a tile cleanser, also represents a common mathematical calculation in consumer product information. The calculation is as follows:

Percent by mass = (mass of solute / total mass of solution) x 100%

Percent by mass of HCl = (135 g / (135 g + 775 g)) x 100%

Percent by mass of HCl = (135 g / 910 g) x 100%

Percent by mass of HCl = 14.84%

Thus, the bottle of tile cleanser has 14.84% by mass of HCl.

When discussing the cost per ounce of laundry detergent in different sizes, such as a 40 oz. size or a 90 oz. size, the concept of linear relationships may be explored, as well as the possibility of identifying outliers or considering the validity of predictive models like the least-squares line.

Answer:

Step-by-step explanation:

The formula of an area of a parallelogram:

[tex]A=bh[/tex]

b - side

h - height

We have b₁ = 18 and h₁ 10 and b₂ = 12.

[tex]b_1h_1=b_2h[/tex]

Substitute:

[tex]12h=(18)(10)[/tex]

[tex]12h=180[/tex]            divide both sides by 12

[tex]h=15[/tex]

Answer:

Lucy reads 10 fewer pages that Carey

Step-by-step explanation:

The first sentence reads as Carey having more, so Lucy has fewer,

Rewriting it using fewer means that Lucy will be the main subject of the sentence, so Lucy reads 10 fewer pages that Carey is the sentence you want

Answer:

11 pt  

Step-by-step explanation:

Convert all volumes to pints

Starting volume

2 gal × 4 qt/1 gal = 8 qt

 8 qt × 2 pt/1 qt  = 16 pt

Breakfast

1 qt × 2 pt/1 qt     =   2 pt

Stating volume = 16 pt

Less breakfast = -2 pt

Less lunch        = -3 pt

After lunch       = 11 pt

The Garcia family had 11 pt of milk left after lunch.

for a cube v=a^3, so 9^3= 729

Answer:

This procedure does not result in a Binomial distribution.

Step-by-step explanation:

In a Binomial distribution there are only 2 outcomes in each trial.. In the roulette experiment there are  more than 2 possible outcomes for each trial so this condition is not met.

The spinning of an American roulette wheel 74 times doesn't result in a binomial distribution because there are more than two possible outcomes and thus the second condition - only two possible outcomes for each trial - for a binomial experiment is not met.

The procedure of spinning an American roulette wheel 74 times and recording the number the ball lands on does not result in a binomial distribution. This is because it does not meet all the conditions necessary for a statistical experiment to be classified as a binomial experiment.

For an experiment to be classified as a binomial experiment, it must meet the following conditions:

Although the procedure meets the condition of having a fixed number of trials, it fails on the second and third conditions. On a roulette wheel, there are 38 possible outcomes, not two, so it fails the condition of only having two outcomes (success or failure). Moreover, the outcome of each spin is independent but the conditions are not identical, as the chance of landing on any particular number is not the same for every spin (if we consider landing on a specific number as 'success').

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Answer:

C

Step-by-step explanation:

You're probably stuck by this problem. Let's rewrite the problem.

The first part of simplifying the expression is to simply the radicals. Since 45 has a factor which is a square, let's simplify.

Answer:

A

Step-by-step explanation:

Federal law regulates a consumer's liability for fraudulent charges. Is what I got.

Answer:

A. Federal law regulates a consumer's liability for fraudulent charges.

Step-by-step explanation:

Under FCBA rules if a client reports about the lost cred card befor eit is used by someone else then the owner of the card is not responsible for any charges.  As per the rule Card holders liability for unauthorised use of their credit card ends at $50. FCBA is a federal law that was framed in 1974 and allows us to dispute charges and temporarily withhold payment without affecting credit score. It is because of FCBA that she would not be charges more than fifty dollars.

Answer:

its going to be d

Step-by-step explanation:

Answer:

The correct option is B.

Step-by-step explanation:

The general exponential regression model is

[tex]y=ab^x[/tex]

Using regression tool the exponential regression model for the given data is

[tex]S(x)=449.9999(1.09999)^x[/tex]

[tex]S(x)=450(1.1)^x[/tex]

The value of function at x=9 is

[tex]S(9)=450(1.1)^9=1061.07646[/tex]

The value of function at x=11 is

[tex]S(11)=450(1.1)^{11}=1283.90252[/tex]

The average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11] is

[tex]m=\frac{S(11)-S(9)}{11-9}[/tex]

[tex]m=\frac{1283.90252-1061.07646-}{2}=111.413\approx 11.42[/tex]

The average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11] is 11.42. Therefore the correct option is B.