Please help! Marking brainliest if correct.

-24x + 12

i am pretty sure that is it, but i am not good at these stuff. Sry if it's wrong.

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer:

Step by step below

Step-by-step explanation:

0 000 007

0 004  007

0 204 007

0 204  047

0 204  647

0 224 647

4 224 647

Answer:

(-2,4), (0,3), (2,2)

Step-by-step explanation:

You can use the 3 points above to plot out the line on the graph and to find other points.

Step-by-step explanation:

Performance appraisal is the answer

Answer:

$5.19

Step-by-step explanation:

62.28/12

Answer: The correct answer is $5.19

Step-by-step explanation:

Answer:

560 in²

Step-by-step explanation:

7 x 4 x 20 = 560 in²

Answers:

A. 4 1/5

B. 7 7/24

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

\(a) \frac{7}{9} \times 5 \frac{2}{5} \\ \frac{7}{9} \times \frac{27}{5} \\ = \frac{21}{5} \\ = 4 \frac{1}{5} \)

\(b)1 \frac{3}{4} \times 4 \frac{1}{6} \\ \frac{7}{4} \times \frac{25}{6} \\ = \frac{175}{24} \\ = 7 \frac{7}{24} \)

hope this helps

brainliest appreciated

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Answer:

12

Step-by-step explanation:

Given that,

f(x) = 2x² - 3x + 7

To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.

Let us solve it now.

f(2.5) = 2(2.5)² - 3×2.5 + 7

f(2.5) = 12.5 - 7.5 + 7

f(2.5) = 12

Answer:

\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)

Answer:

  116

Step-by-step explanation:

Given the ratio 1.2 : 29, you want x in the equivalent ratio 4.8 : x.

Equivalent ratios can be written as a proportion:

  1.2/29 = 4.8/x

Multiplying by 29x, we have ...

  1.2x = 29(4.8)

Dividing by 1.2 gives ...

  x = 29(4.8/1.2) = 29(4) = 116

The ratio is the same as 4.8 to 116.

__

Additional comment

A proportion like this can be written 4 ways. The solution takes only one step if the unknown is in the numerator.

  \(\dfrac{1.2}{29}=\dfrac{4.8}{x},\quad\dfrac{29}{1.2}=\dfrac{x}{4.8},\quad\dfrac{1.2}{4.8}=\dfrac{29}{x},\quad\dfrac{4.8}{1.2}=\dfrac{x}{29}\)

Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10

Answer:

s=

\( \frac{1}{2} \)

Answer:

To find the perimeter of an equilateral triangle, the formula is Side X 3

If it's a Scalene or an Isosceles triangle , add all sides.

Hope it helps ;)

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Answer:

88.89%

Step-by-step explanation:

Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4

The calculated minimum percentage value of quiz scores between

First step is to calculate the lower k value using this formula

k=(x1−m)/s

Where:

x1 represent first random value 4.8

x2 represent second random value 8.4

m represent mean 6.6

s represent standard deviation 0.6

Let plug in the formula

k=(4.8−6.6)/0.6

k=−1.8/0.6

k=−3

Second step is to calculate the upper k value

k=(x2−m)/s

k=(8.4−6.6)/0.6

k=1.8/0.6

k=3

Now let calculate the minimum percentage

Using this formula

Minimum percentage=1−1/k^2

Let plug in the formula

Minimum percentage=1−1/3^2

Minimum percentage=1−1/9

Minimum percentage=1−0.1111

Minimum percentage=0.8889*100

Minimum percentage=88.89%

Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%

Answer:

75%

Step-by-step explanation:

5.2−6.40.6=−2  and 7.6−6.40.6=2.

This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.

According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.

Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.

Answer:

8

24 divided by 8 =3

32 divided by 8 =4

Answer:

\(f(x) = x + 7 \\ g(x) = {x}^{2} - 5x - 12 \\ g(f(x)) = {x}^{2} - 5x - 12 + 7 \\ = {x}^{2} - 5x - 5\)

Answer:

2|x+3|+3

Step-by-step explanation:

The graph will go 2 units higher for the "b" im not sure about the reflection though innit.

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

d = 291 + n

Step-by-step explanation:

Given that,

Last week, Kira drove 291 miles. Then this week she drove n miles.

We need to find an expression for the total number of miles she drove in the two weeks. It can be calculate by adding distance force 2 weeks. So,

d = 291 + n

Hence, this is the required solution.

a. To determine whether the proportion of adults using social media is equal for all four countries, we can conduct a hypothesis test. The null and alternative hypotheses are as follows:

H0: The proportion of adults using social media is equal for all four countries

Ha: The proportion of adults using social media is not equal for all four countries

For the test, we will use a 0.05 level of significance.

b. The sample proportions for each of the four countries are as follows:

United Kingdom: P1 = 480 / (480 + 320) = 0.60

China: P2 = 215 / (215 + 285) = 0.43

Russia: P3 = 343 / (343 + 357) = 0.49

United States: P4 = 640 / (640 + 360) = 0.64

c. To conduct multiple pairwise comparison tests among the four countries, we will use the following formula:

Pi - Pj / √(P(1-P)(1/n1 + 1/n2))

Where Pi and Pj are the proportions for two countries, n1 and n2 are the sample sizes for two countries.

United Kingdom vs. China: Diff = 0.60 - 0.43 / √(0.51*0.49*(1/800 + 1/600)) = 0.17 / 0.03 = 5.67

United Kingdom vs. Russia: Diff = 0.60 - 0.49 / √(0.51*0.49*(1/800 + 1/700)) = 0.11 / 0.03 = 3.67

United Kingdom vs. United States: Diff = 0.60 - 0.64 / √(0.51*0.49*(1/800 + 1/1000)) = -0.04 / 0.03 = -1.33

China vs. Russia: Diff = 0.43 - 0.49 / √(0.57*0.43*(1/500 + 1/700)) = -0.06 / 0.04 = -1.50

China vs. United States: Diff = 0.43 - 0.64 / √(0.57*0.43*(1/500 + 1/1000)) = -0.21 / 0.04 = -5.25

Russia vs. United States: Diff = 0.49 - 0.64 / √(0.51*0.49*(1/700 + 1/1000)) = -0.15 / 0.03 = -5.00

Since the level of significance is 0.05 and all of the calculated differences in proportions are less than the critical value (1.96), we fail to reject the null hypothesis and conclude that there is no significant difference between the proportion of adults using social media in the four countries.

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The solutions for the equation\(sin(3x + 2) = cos(5x) are x = π/4, 3π/4, 5π/4, 7π/4 or x = 45°, 135°, 225°, 315°.\)

It is a fundamental part of geometry and has applications in many areas of mathematics, science, engineering, and technology.

Trigonometry is based on three primary functions: the sine, cosine, and tangent. These functions relate the angles of a triangle to the lengths of its sides. The cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

Trigonometry is used in a wide range of fields, including astronomy, physics, engineering, architecture, and navigation. It is used to calculate distances and angles in surveying, to calculate trajectories in physics, to design and build structures, and to navigate ships and aircraft. Trigonometry is also used in computer graphics and animation to create realistic 3D models and special effects.

Trigonometry is a complex subject that requires a strong foundation in algebra, geometry, and calculus. It is an important tool for solving real-world problems and has many practical applications in today's world.

To solve for x, we can use the identity \(sin^2(x) + cos^2(x) = 1\)and some algebraic manipulation:

sin(3x + 2) = cos(5x)

Square both sides:

\(sin^2(3x + 2) = cos^2(5x)\)

Use the identity \(sin^2(x) = 1 - cos^2(x) to get:1 - cos^2(3x + 2) = cos^2(5x)\)

Now we can use the identity\(cos(2x) = 1 - 2sin^2(x) to get:1 - cos^2(3x + 2) = 1 - 2sin^2(5x)cos^2(3x + 2) - 2sin^2(5x) = 0Use the identity cos^2(x) = 1 - sin^2(x) to get:1 - sin^2(3x + 2) - 2sin^2(5x) = 0\)

Simplify:

\(sin^2(3x + 2) + 2sin^2(5x) - 1 = 0\)

Now we can use the quadratic formula with \(sin^2(x)\) as the variable:

\(sin^2(x) = (-2 ± sqrt(4 - 4(1)(-1))) / 2(1)sin^2(x) = (-2 ± sqrt(8)) / 2sin^2(x) = -1 or sin^2(x) = 1/2\)

Since \(sin^2(x)\) is always between 0 and 1, we can discard the solution \(sin^2(x) = -1\). Thus, we have:

\(sin^2(x) = 1/sin(x) = ±sqrt(2)/2\)

The solutions for x are the angles between 0 and 2π (or 0 and 360°) that have sine equal to plus or minus the square root of 2 over 2. These angles are:

\(x = π/4, 3π/4, 5π/4, 7π/4\)

In degrees, the solutions are:

\(x = 45°, 135°, 225°, 315°\)

Therefore, the solutions for the equation\(sin(3x + 2) = cos(5x) are x = π/4, 3π/4, 5π/4, 7π/4 or x = 45°, 135°, 225°, 315°\)

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A figure has rotational symmetry when it can be rotated by an angle measure which is greater than 0º and less than 360º and the rotated image is equals to the original figure, that is, the image is equals to the pre-image.

Thus the circle in this problem has rotational symmetry, as it is composed by a circle which has the same "format" over the entire perimeter, and the 8 triangles means that the angle is calculated as follows:

360º/8 = 45º.

The v-figure does not have rotational symmetry, as it does not have the same "format" over the entire perimeter.

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Answer:

Elon Musk 269.7 B
Jeff Bezos: 170.15 B
Bill Gates: 130.23 B

Step-by-step explanation:

If you had a trail of 1 billion 1 dollar bills, it would stretch out to 96,900 miles.

If you did that with 100 billion 1 dollar bills, that would be 9,690,000 miles.

That is more than 300 times the circumference of the Earth.

Answer: 434 hours

Step-by-step explanation:

31(days) x 24(hours in a day) = 744

31(days) x 14(hours spent eating) = 434

Answer:

I came up with 434 hours for the month of July

Step-by-step explanation:

Well, you find the days of July which is 31, then multiply that by 14, the hours she spends eating a day.

I'm so sorry if it's wrong. Good luck!

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(i) \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.

(ii) \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.

For λ = 2.5, the function f(x) will be continuous at x = 0.

Given the function is,

f(x) = 1.5, when x = 0

    = 1 -2 sin x, when x < π/4

    = 1 + 2 sin x, when x > π/4

    = 1 + (sin λx/sin 5x)

Now,

\(\lim_{x \to \pi/3}\) f(x) = \(\lim_{x \to \pi/3}\) (1 + 2 sin x) [Since, π/3 > π/4]

                    = 1 + 2 sin (π/3)

                    = 1 + 2√3/2 = 1 + √3

Hence, \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.

Now left hand limit is,

\(\lim_{x \to \frac{\pi^+}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^+}{4}}\) (1 + 2sin x) = 1 +2 sin(π/4) = 1 + 2*(1/√2) = 1 + √2

and right hand limit is,

\(\lim_{x \to \frac{\pi^-}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^-}{4}}\) (1 - 2 sin x) = 1 - 2*(1/√2) = 1 - √2

Since left hand limit and right hand limit are not equal so value of \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.

\(\lim_{x \to 0}\) f(x) = \(\lim_{x \to 0}\) (1 + (sin λx/sin 5x)) = 1 + \(\lim_{x \to 0}\) ((sin λx/λx)/(sin 5x/5x))*(λ/5) = 1 + λ/5

Since f(x) is continuous at x = 0.

So, \(\lim_{x \to 0}\) f(x) = f(0)

1 + λ/5 = 1.5

λ/5 = 1.5 - 1 = 0.5

λ = 2.5

Hence the value of λ will be 2.5.

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Therefore, the probability that a randomly selected family owns a cat is 0.257. Therefore, the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat is 0.778.

Probability is a branch of mathematics that deals with the study of random events or situations. It involves the quantification of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty. The theory of probability provides a framework for making predictions, analyzing data, and making decisions in situations involving uncertainty or randomness.

Here,

Let's use the following events:

D: family owns a dog

C: family owns a cat

From the problem statement, we know:

P(D) = 0.3

P(C|D) = 0.2

P(C) = 0.34

1. To find the probability that a randomly selected family owns a cat, we can use the law of total probability:

P(C) = P(C|D) * P(D) + P(C|not D) * P(not D)

We don't know P(C|not D), but we can find it using the fact that P(not D) = 1 - P(D):

P(C|not D) = (P(C) - P(C|D) * P(D)) / P(not D)

P(C|not D) = (0.34 - 0.2 * 0.3) / (1 - 0.3)

P(C|not D) = 0.2857

Substituting the values:

P(C) = 0.2 * 0.3 + 0.2857 * 0.7

P(C) = 0.257

2. To find the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat, we can use Bayes' theorem:

P(not D|C) = P(C|not D) * P(not D) / P(C)

Substituting the values:

P(not D|C) = 0.2857 * 0.7 / 0.257

P(not D|C) = 0.778

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Complete question:

In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known that 34% of all the families own a cat. What is the probability that a randomly selected family owns a cat? What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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Answer:

The cost per ounce of the small cup is $0.269

Step-by-step explanation:

To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.

Cost per ounce = Cost of the cup ÷ Number of ounces in the cup

Cost of the cup = $2.69

Number of ounces in the cup = 10 oz

So,

Cost per ounce = $2.69 ÷ 10 oz

Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)

Therefore, the cost per ounce of the small cup is $0.269.

Answer:

domain is like the membrane

Step-by-step explanation:

domain

By using trigonometry, we find that Traveling directly from New York City to Buffalo would save approximately 50 miles.

To find the angle at which the engineer should build the highway, we can use trigonometry. Let's call the distance between New York City and Buffalo "d". Then, the distance traveled if going through Albany would be 170 + 280 = 450 miles.

We can use the cosine function to find the angle x:

cos(x) = adjacent/hypotenuse = d/450

x = cos^(-1)(d/450)

To find the value of x, we need to know the value of d. If we assume that the distance between New York City and Buffalo is approximately 400 miles, then:

x = cos^(-1)(400/450) = 23.6 degrees (rounded to the nearest tenth)

Therefore, the engineer would need to build the highway at an angle of approximately 23.6 degrees.

To find how many miles would be saved by traveling directly from New York City to Buffalo rather than going through Albany, we can subtract the distances:

450 - d = 450 - 400 = 50 miles (rounded to the nearest mile)

Therefore, traveling directly would save approximately 50 miles.

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The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

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