Which graph represents the function f(x) = 4|x|?

Answer:

A small bar of gold measures 40 mm by 25 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounce. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.

Answer:

(-15$) • 12

Step-by-step explanation:

Because your taking away 15$ from each month, and there's 12 month each year.

I explained each answer choice in the comments bellow.

Answer:

The Naswer is the Last one, D

Step-by-step explanation:

The cricketer's average for the last 10 innings was 15.67 runs per innings (approx.).

The average for the last 10 innings, we need to follow these steps:

Calculate the total runs scored in the first 20 innings. Total runs scored = Average * Number of innings = 15 * 20 = 300

Calculate the total runs scored in the next 10 innings. Total runs scored = Average * Number of innings = 17 * 10 = 170

Calculate the total runs scored in all 30 innings. Total runs scored = 300 + 170 = 47

Calculate the average for all 30 innings. Average = Total runs scored / Number of innings = 470 / 30 = 15.6

Calculate the total runs scored in the last 10 innings. Total runs scored = Average * Number of innings = 15.67 * 10 = 156.7 (approx.)

Calculate the average for the last 10 innings. Average = Total runs scored / Number of innings = 156.7 / 10 = 15.67

Therefore, the cricketer's average for the last 10 innings was 15.67 runs per innings (approx.).

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Answer:

  £46

Step-by-step explanation:

You want to know the cost of luggage in the hold when 2 in the hand and 1 in the hold is £86, and 1 in the hand and 1 in the hold is £66.

Let 'a' and 'b' represent the costs of a piece of hand luggage and one in the hold, respectively. Then the given relations are ...

  2a +b = 86

  a +b = 66

Subtracting the first equation from twice the second gives ...

  2(a +b) -(2a +b) = 2(66) -(86)

  b = 46 . . . . . . . simplify

It costs £46 to put an item of luggage in the hold.

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5

We have to given that;

the terminal side of theta in standard position contains the point (6,-8)

Hence, For given condition we get;

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

Here, x = 6, y = - 8

Hence, We get;

r = √x² + y²

r  = √6² + 8²

r = √36 + 64

r = √100

r = 10

So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

cos θ = x / r

cos θ = 6 / 10

cos θ =  3 / 5

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The length of the straw is √110 inches.

What is rectangle ?

Rectangle can be defined as opposites sides are equal and the area of rectangle is product of length and breadth.

We can use the Pythagorean theorem to find the length of the diagonal of the rectangular box, which will be the length of the straw.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the rectangular box forms a right triangle, and the length of the hypotenuse is the length of the diagonal from the bottom left corner to the top right back corner, which is the length of the straw.

The lengths of the other two sides of the triangle are the dimensions of the rectangular box:

The width is 2 inches, which is the length of one leg of the right triangle.

The height is 5 inches, which is the length of the other leg of the right triangle.

So we can use the Pythagorean theorem as follows:

length of straw = √(2*2 + 5*5 + 9*9)

= √(4 + 25 + 81)

= √110

Therefore, the length of the straw is √110 inches.

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To win at LOTTO in one​ state there are 50 different selections.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, To win at LOTTO in one​ state, one must correctly select numbers from a collection of numbers​ (1 through 50 ​)

Now there are a total of (50 - 1) + 1 = 50 numbers.

∴ No. of different selections are​ possible is \(^{50}C_1\).

= 50!/(50 - 1)!×1!.

= 50!/49!.

= 50.

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The number of inches would represent 1 foot 6 inches so the ratio of inches to foot remains the same will be 0.5 inches.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

3 inches represents 9 feet

The ratio of inches to foot = 3/9

Let's say the number of inches in 1 foot and 6 inches (1.5 foot) is x.

The ratio of inches to foot = x/1.5

Both ratios must be the same,

x/1.5 = 3/9

x = 1.5(3/9) = 0.5 inches

Hence "The number of inches would represent 1 foot 6 inches so the ratio of inches to foot remains the same will be 0.5 inches:".

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Answer:

1110 g

Step-by-step explanation:

Here is the fastest way to solve this problem: (5 x 186) + (2.5 x 72)

However, if you want a step-by-step explanation, here it is:

The total mass of the coins in the bag is the mass of the nickels plus the mass of the pennies.

Let's start by finding the mass of the nickels in the bag.

We know that one nickel has a mass of 5 g, and that there are 186 nickels. So, the total mass of all the nickels in the bag will be 186 x 5 = 930 g.

Now, let's find the mass of the pennies in the bag.

We know that one penny has a mass of 2.5 g, and that there are 72 pennies in the bag. So, the total mass of all the pennies in the bag will be 2.5 x 72 = 180.

We now add these two masses (930 + 180) to get our final answer, 1110 g.

Answer:

140

If that's wrong, try 147

Step-by-step explanation:

With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):

\(y=7x-28\\\),

where our m (slope) is 7, and our b (y-intercept) is -28.

If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.

Hope this helps!

The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001

For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

Answer:

77.5° and

102.5°

Step-by-step explanation:

Angles in a linear pair sum up to 180°

Therefore, x + (x +25) = 180

x + x +25 = 180

2x + 25 = 180

2x = 180- 25

2x 155°

dividing bothsides by 2

x = 155/2

x = 77.5

Therefore,

x = 77.5°

(x+25) = 77.5 + 25 = 102.5°

Based on the data and the one-sample t-test, at the 0.05 level of significance, there is sufficient evidence to conclude that the average bear sales per store at Wal-Mart is significantly higher than $500

.

To determine if there is evidence that the average bear sales per store at Wal-Mart is more than $500 at the 0.05 level of significance, we can conduct a one-sample t-test. Let's go through the steps:

State the null and alternative hypotheses:

Null hypothesis (H₀): The average bear sales per store is equal to or less than $500.

Alternative hypothesis (H₁): The average bear sales per store is greater than $500.

Set the significance level (α):

In this case, the significance level is given as 0.05 or 5%.

Collect and analyze the data:

The weekly sales of bears in 10 stores are as follows:

8, 11, 0, 4, 7, 8, 10, 583

Calculate the test statistic:

To calculate the test statistic, we need to compute the sample mean, sample standard deviation, and the standard error of the mean.

Sample mean (\(\bar X\)):

\(\bar X\) = (8 + 11 + 0 + 4 + 7 + 8 + 10 + 583) / 8

\(\bar X\) ≈ 76.375

Sample standard deviation (s):

s = √[Σ(x - \(\bar X\))² / (n - 1)]

s ≈ 190.687

Standard error of the mean (SE):

SE = s / √n

SE ≈ 60.174

Now, we can calculate the t-value:

t = (\(\bar X\) - μ₀) / SE

Where μ₀ is the hypothesized population mean ($500).

t = (76.375 - 500) / 60.174

t ≈ -7.758

Determine the critical value:

Since we are conducting a one-tailed test and the alternative hypothesis is that the average bear sales per store is greater than $500, we need to find the critical value for a one-tailed t-test with 8 degrees of freedom at a 0.05 level of significance. Looking up the critical value in the t-distribution table, we find it to be approximately 1.860.

Compare the test statistic with the critical value:

Since -7.758 is less than -1.860, we have enough evidence to reject the null hypothesis.

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Answer:

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

  f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

__

For the given scenario, we find ...

  a = room temperature = 20 . . . . degrees C

  b = (180 -20) = 160 . . . . degrees C

  c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

  f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

__

Solving for t when f(t) = 80, we find ...

  80 = 20 +160(1/2)^(t/20)

  3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

  20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

__

The temperature after 45 minutes is ...

  f(45) = 20 +160(1/2)^(45/20)

  f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

The solution to the multiplication of the decimals is; 39.15

One of the ways to multiply decimals is as follows;

To multiply decimals, first multiply as if there is no decimal.

Second step is to count the number of digits after the decimal in each factor.

Last step is to put the same number of digits behind the decimal in the product.

Now, we want to multiply the decimals given as;

8.7 × 0.45

Converting them to fractions gives us;

(87/10) × (45/10)

= 3915/100

= 39.15

Thus, that is the solution to the multiplication of the decimals.

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For the information given in the statement, we can write the following proportion:

Now, we can solve the equation for x:

Therefore, the height of the enlarged photograph will be 15 inches and, the correct answer is option C.

After integration, the required function f is (2x³ - sin (x) + Cx + D).

What is the integration of 'xⁿ' and 'sin (x)'?

\(\int {x^{n} } \, dx = \frac{x^{n+1} }{n+1} + C\\\\\\\int {sinx} \, dx = -cosx + C\)

Given, f''(x) = 12x + sin x

Therefore,

\(\int {f''(x)} \, dx \\\\=\int {f'(x)} \, dx \\\\\\= \int{12x + sin x} \, dx + C\\\\= 6x^{2} - cosx + C\\\)

Again, f'(x) = 6x - cos (x) + C

Therefore,

\(\int {f'(x)} \, dx\\ \\=\int {f(x)} \, dx \\\\= \int {6x^{2} - cosx + C } \, dx \\\\= 2x^{3} - sinx + Cx + D\)

Therefore, the required function is (2x³ - sin (x) + Cx + D).

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Answer:

9/16

Step-by-step explanation:

6/8= 3/4

3/4*3/4=9/16

Answer:

9/16

I hope this helps.

Step-by-step explanation:

Answer:

8 tables

Step-by-step explanation:

ayee

The probability that they both get a red apple is, 15/28

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of Ed's friend grabbing a red apple is,

= 6 red apples / (2 green apples + 6 red apples)

= 6/8

= 3/4.

Then, the probability of Ed grabbing a red apple from the remaining apples is,

= 5 red apples / (2 green apples + 5 red apples)

= 5/7.

So, the probability that both Ed and his friend get a red apple is,

= 3/4 x 5/7

= 15/28

Hence, the probability is 15/28

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Answer:

A: 2

Step-by-step explanation:

EDGE 2021

Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.

A complex number is modeled by:

z = a + bi.

In which:

In this problem, the number is:

x = 3 + bi.

It's magnitude is given by:

\(|x| = \sqrt{3^2 + b^2}\)

Then:

\(\sqrt{3^2 + b^2} = \sqrt{13}\)

\(3^2 + b^2 = 13\)

\(b = \pm \sqrt{4}\)

\(b = \pm 2\)

A possible value of b is of 2.

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The volume of a cone will be 209.41 yard³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

= 1/3 * 3.141*25*8

=209.41 yard³

Hence, the volume of a cone will be 209.41 yard³.

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Answer:

72°

Step-by-step explanation:

360/5 = 72

Answer:

1244 DCD

Step-by-step explanation:

\(-2x+6=12\\2x=-6\\x=-3\)

Answer:

it's 30

Step-by-step explanation:

30+4_2= dakukabilat