Please help with this question, thank you.

Answer:

this is your answer look it once.

Answer:

4

Step-by-step explanation:

-1  0  1  2  3  

1   2    3    4

Answer:

g(x)=3^x+7

Step-by-step explanation:

f(0)=3^0

that is the y-intercept

now we can take the known y-intercept of g(x) which is 8 and then we can get our b in the y=mx+b equation.

Answer:

-3

Step-by-step explanation:

The formula for the rate of change (slope) between two points is:

\(\frac{y_2 - y_1}{x_2-x_1}\)      
So, we plug in the two points:

\(\frac{-20-(-5)}{6-1} =\frac{-15}{5} =-3\)
The rate of change is -3

The geometric sequence for the value of a₁= 3 r= 1/10 n=8 is \(a_{8} = \frac{3}{10000000}\) i.e option c is correct.

What does the term "geometric sequence" mean?

A geometric sequence is a set of integers where the ratio between each pair of succeeding terms is fixed. The geometric sequence's general ratio is the name of this constant.

We can use the following algorithm to determine the nth term (an) of a geometric sequence:

\(a_{n} = a_{1} * r^{n-1}\)

where a1 is the first term in the series, r represents the common ratio, and n denotes the term's number.

Since a1 = 3, r = 1/10, and n = 8, we get:

\(a_{8} = 3 * (\frac{1}{10})^{8-1} = 3 *( \frac{1}{10})^{7}\)

\(= 3 * \frac{1}{10^{7} }\)

Now, we can condense this equation to get the solution:

a₈ = \(\frac{3}{10000000}\)

The solution is therefore \(\frac{3}{10000000}\) that option c.

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Hope you understand :)

Answer:

6x +3y

Step-by-step explanation:

3x + 3(x+y)

3x + 3x +3y

6x +3y

The standard error of the sample mean is 1.21.

Given;

Suppose a diet regimen for men results in an average weight loss of between 13. 4 and 18. 3 pounds, according to a 95% confidence interval. These findings were based on a group of 42 men who were classified as overweight at the beginning of the four-month trial.

A 95% confidence interval for a population mean is (13.4, 18.3)

Upper limit = 18.3

Lower limit = 13.4

Since population SD is unknown, this interval is constructed using the t distribution.

n = 42

c = 0.95

∴ α = 1 - c = 1 - 0.95 = 0.05

α/2 = 0.025

Also, d.f = n - 1 = 42 - 1 = 41

∴ ta/2.d.f =  ta/2.n-1  =  t0.025,41  =  2.02 . . . . use t table

Now,

The margin of error = (Upper limit - Lower limit)/2

                                 = (18.3 - 13.4)/2

                                 = 2.45

But,

Margin of error = ta/2.d.f-  * (s / \sqrt{} n)

Margin of error = ta/2.d.f-  * Standard error

2.45 = 2.02 * Standard error

Standard error = 1.2129

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Answer:

25

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

\(\sqrt{256}\) = 16 (length of each side)

A square (rug) has 4 sides.

Add to find perimeter:

16 + 16 + 16 + 16

= 64

Answer: 8ft

Step-by-step explanation:

4A= 256

4A/4     =    256/4

A = 64

A = a²

64 = 4²

a² = 64

a = ±√64

a = ±8

∴a = ±8

Hence, the length of a side of each rug is 8ft.

The work done in lifting the block is 3430 J

From the question, we are to determine the work done in lifting the block

Using the formula,

Work done = mgh

Where m is the mass

g is the acceleration due to gravity

and h is the height

From the question,

m = 50.0 kg

g = 9.81 m/s²

h = 7.00 m

Putting the parameters into the formula,

Work done = 50.0 ×9.8 × 7.00

Work done = 3430 J

Hence, the work done in lifting the block is 3430 J

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The binomial expansion of (y - 3)⁴ is B) y⁴ - 12y³ + 54y² - 108y + 81.

The Binomial Theorem is the method of expanding an expression that has been raised to any finite power.

An expression of two terms having a degree n can be represented as,

(a - b)ⁿ = \(^nC_na^n - ^nC_{n-1}a^{n-1}b+^{n}C_{n-2}a^{n-2}b^2+...(-1)^n\times^nC_0a^0b^n\).

Given, (y - 3)⁴ = \(^4C_4y^4.3^0 - ^4C_3y^3.3 + ^4C_2y^23^2-^4C_1y.3^3+^4C_0y^03^4\).

(y - 3)⁴ = y⁴ - 12y³ + 54y² - 108y + 81.

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Answer:

6 times.

Step-by-step explanation:

6x3=18

20-18=2

hope this helps ! </3 ~ alyssa

3 goes into 20 six times with a remainder of 2.

To determine how many times 3 goes into 20, we can perform division.

Dividing 20 by 3 gives us:

20 ÷ 3 = 6 with a remainder of 2

Or,   3 | 20  | 6

             18

          _____

              2

Therefore, 3 goes into 20 six times with a remainder of 2.

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Answer:

D

Step-by-step explanation:

The sum of the length of any 2 sides is greater than the length of any 3rd side

10+8 = 18, so D is not possible

The probability of drawing two more Snickers bars, given that the first two picks were both Snickers bars, is 39/529, or approximately 0.074.

To find the probability of the 3rd and 4th candies being Snickers bars, we need to use conditional probability. We know that the first 2 candies eaten were both Snickers bars, which means that there are now 13 Snickers bars left in the basket, along with 12 Milky Ways and 11 Milk Duds.

The probability of drawing a Snickers bar on the first pick is 15/38 (since there are 15 Snickers bars and a total of 38 candies in the basket). The probability of drawing another Snickers bar on the second pick, given that the first pick was a Snickers bar, is 14/37 (since there are now only 14 Snickers bars left in the basket, and a total of 37 candies remaining).

Now we want to find the probability of drawing two more Snickers bars, given that the first two picks were both Snickers bars. This is the conditional probability of two Snickers bars given that we already know the first two picks were both Snickers bars. We can use the formula:

P(A and B | C) = P(A and B and C) / P(C)

where A and B are the events of drawing Snickers bars on the third and fourth picks, and C is the event of drawing two Snickers bars on the first two picks.

To find P(A and B and C), we can multiply the probabilities of each individual pick:

P(A and B and C) = (14/37) * (13/36) * (15/38) * (14/37)

This simplifies to:

P(A and B and C) = 2730 / 1105836

To find P(C), we can use the product rule of probability:

P(C) = P(first Snickers bar) * P(second Snickers bar | first Snickers bar)

We already calculated these probabilities as 15/38 and 14/37, respectively. Multiplying them together gives:

P(C) = (15/38) * (14/37)

This simplifies to:

P(C) = 210 / 1386

Now we can substitute these values into the formula for conditional probability:

P(A and B | C) = P(A and B and C) / P(C)

P(A and B | C) = (2730 / 1105836) / (210 / 1386)

This simplifies to:

P(A and B | C) = 39 / 529

Therefore, the probability of drawing two more Snickers bars, given that the first two picks were both Snickers bars, is 39/529, or approximately 0.074.

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By concepts of functions, the inverse of the rational function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.

In this question we must determine the inverse of a given function and evaluate the resulting expression at a given value. First, we apply the following substitution:

f⁻¹(x) = x

x = f(x)

x = (2 · f⁻¹(x) + 1)/(f⁻¹(x) - 4)

Then we clear f⁻¹(x) within the expression:

x · (f⁻¹(x) - 4) = 2 · f⁻¹(x) + 1

x · f⁻¹(x) - 4 · x = 2 · f⁻¹(x) + 1

x · f⁻¹(x) - 2 · f⁻¹(x) = 4 · x + 1

f⁻¹(x) · (x - 2) = 4 · x + 1

f⁻¹(x) = (4 · x + 1)/(x - 2)

Lastly, we evaluate the function at x = 3:

f⁻¹(3) = (4 · 3 + 1)/(3 - 2)

f⁻¹(3) = 13

By concepts of functions, the inverse of the rational function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.

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Answer:

16-year-old horse is equivalent to a 48-year-old human. x = 48

Step-by-step explanation:

We can set up a proportion to solve this problem:

horse age / human age = k

where k is the constant of proportionality. We're told that a 5-year-old horse is equivalent to a 15-year-old human, so we can use this information to find k:

5 / 15 = k

k = 1/3

Now we can use this value of k to find the equivalent human age for a 16-year-old horse:

16 / x = 1/3

Multiplying both sides by x:

16 = x/3

Multiplying both sides by 3:

x = 48

So a 16-year-old horse is equivalent to a 48-year-old human.

Answer:

D

Step-by-step explanation:

\((x + y + 2)(y + 1) = \\ xy + x + {y}^{2} + + y + 2y + 2 = \\ xy + x + {y}^{2} + 3y + 2\)

Answer:

Rs 20000

Step-by-step explanation:

Let the sum is x.

The rate of interest, r=20%=0.2

Time, t=2 years.

Total amount after t years, \(A= x \left(1+\frac{r}{n}\right)^{tn}\)

The value of n when compounded annually, n=1

So, the total amount,

\(A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2\)

The compound interest when compounded annually,

\(I_1 =x(1.2)^2-x\)

The value of n when compounded semi-annually, n=2

So, the total amount, \(A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4\)

The compound interest when compounded semi-annually,

\(I_2 =x(1.1)^4-x\)

As the difference between the annual and semi-annual compound interest on  x amount of money is Rs 482, so

\(I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\\)

x=20000

Hence, the sum is Rs 20000.

The side that will be in palce of Questionmark by Similarity of Triangle is LM.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of things whose forms are similar to one another.

Properties:

in Triangle LMO and LON:

Angle LON = angle LMO = 90 degrees

Angle OLM is a common angle .

Therefore , angle LNO = angle LOM

So triangle LMO and LON are similar (AAA similarity)

So, the ratio of sides are equal.

Therefore,

\(\frac{LN}{LO} = \frac{LO}{LM}\).

The side that will be in palce of Questionmark is LM.

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The side that will be in place of Question mark by Similarity of Triangle is LM.

What is Similarity of Triangle ?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of things whose forms are similar to one another.

Properties:
Despite having the same form, each might have different sizes.
There are no matching angles that are not equal.
Similar equivalent side ratios exist.
in Triangle LMO and LON:
Angle LON = angle LMO = 90 degrees
Angle OLM is a common angle .
Therefore , angle LNO = angle LOM
So triangle LMO and LON are similar (AAA similarity)
So, the ratio of sides are equal.
Therefore,
The side that will be in palce of Questionmark is LM.

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It will cost you to have all the dirt hauled away \(6.43*10^{4}\)

A COST Action is an interdisciplinary research network that unites scientists and entrepreneurs to study a subject of their choice for four years. SMEs, public institutions, academic researchers, and other pertinent entities or interested parties often make up COST Actions. The cost is the total amount of money spent by a company on the creation or production of goods or services. The markup for profit is excluded. The sum of money spent to create a good or product, as seen from the seller's perspective, is the cost. The expense incurred for manufacturing a good or rendering a service that is made available by a business is often referred to as the cost. The customer's willingness to pay determines the price of a good or service.

Based on the given condition,

Formulate

\(20*6*30*18\)

Calculate the product or quotient

\(120*30*18=64800\)

Simplify.

\(6.43*10^{4}\)

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Step-by-step explanation:

In order to rotate a coordinate point by 90° in the counterclockwise direction, follow the following transformation rule:

(x, y) ---> (-y, x)

Here is the list of the coordinates of the points on the fan blade and next to it is a list of points that are rotated by 90° in the counterclockwise direction:

Normal. Rotated

(x, y) (-y, x)

(3, 1) (-1, 3)

(5, 2) (-2, 5)

(8, 4) (-4, 8)

(9, 6) (-6, 9)

(8, 8) (-8, 8)

(6, 9) (-9, 6)

(4, 8) (-8, 4)

(2, 5) (-5, 2)

(1, 3) (-3, 1)

Simply repeat the pattern for the other two blades.

55% of the claims are within one standard deviation of the mean claim size.

To find the percentage of claims that are within one standard deviation of the mean claim size, we first need to calculate the mean and standard deviation of the distribution.

The mean claim size is:

u = (20 × 0.10) + (30 × 0.10) + (40 × 0.10) + (50 × 0.20) + (60 × 0.15) + (70 × 0.10) + (80 × 0.25) = 54

The variance can be calculated as follows:

s^2 = [\((20-54)^{2}\) × 0.10] + [\((30-54)^{2}\) × 0.10] + [\((40-54)^{2}\) × 0.10] + [\((50-54)^{2}\) × 0.20] + [\((60-54)^{2}\) × 0.15] + [\((70-54)^{2}\) × 0.10] + [\((80-54)^{2}\) × 0.25] = 340

The standard deviation is the square root of the variance:

s = √340 ≈ 18.44

To find the percentage of claims that are within one standard deviation of the mean claim size, we need to find the range of claim sizes that fall within the interval (u - s, u + s).

(u - s) = 54 - 18.44 = 35.56

(u + s) = 54 + 18.44 = 72.44

We can see from the table that the claim sizes 40, 50, 60, and 70 fall within this range, and their probabilities add up to:

0.10 + 0.20 + 0.15 + 0.10 = 0.55

Therefore, 55 percentage of the claims are within one standard deviation of the mean claim size.

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To determine if two triangles are congruent, the following conditions must be met:

To determine if triangle HL is congruent, you must first compare the lengths of each side. If the lengths of each side are equal, then the triangles are similar. Next, you must compare the angles of each triangle. If the angles of each triangle are equal, then the triangles are congruent. Finally, you must compare the pairs of vertical angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. If all of these pairs are equal or supplementary, then the triangles are congruent. If all three conditions are met, then it can be concluded that triangle HL is congruent.

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The standard error (SE) is used to construct the standardized test statistic (Z) in hypothesis testing when comparing a sample proportion (p) to a hypothesized population proportion (p0) using the null hypothesis (H0: p = p0) and alternative hypothesis (HA: p ≠ p0).

In this context, the standard error represents the estimated standard deviation of the sampling distribution of the sample proportion. It quantifies the variability in the sample proportion and reflects how much we would expect the sample proportion to vary from sample to sample if the null hypothesis is true.

To calculate the standard error for the proportion, the formula is:

SE = √[ (p0 * (1 - p0)) / n ]

where p0 is the hypothesized population proportion, and n is the sample size.

The standard error takes into account the hypothesized population proportion (p0) and the sample size (n). It provides an estimate of how much the sample proportion (p) is likely to deviate from the hypothesized proportion due to sampling variability alone.

Once the standard error is calculated, the standardized test statistic (Z) can be obtained by subtracting the hypothesized proportion from the sample proportion and dividing it by the standard error:

Z = (p - p0) / SE

The Z-score indicates the number of standard errors the observed sample proportion is away from the hypothesized proportion. It is used to determine the probability of observing a sample proportion as extreme or more extreme than the one obtained, assuming the null hypothesis is true.

By comparing the Z-score to critical values from the standard normal distribution, we can determine the statistical significance of the observed sample proportion and make conclusions about the null hypothesis.

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Answer:

-10/6=-1.7

Step-by-step explanation:

you need to do -6-4 over 6-4 then once you got your answer you see if it can be simplified to anything else and if it can that will be your answer.

Answer:

-1 is the slope

Step-by-step explanation:

Use y2-y1/x2-x1

PLUG IN YOUR POINTS

6-4/-6 - -4 =

2/ -2 =

= -1

Hope this helps ya!!

The Central Limit Theorem demonstrates how, as sample size increases, the mean of distribution approaches the normal distribution.

Regardless of the distribution of the population, the central limit theorem (CLT) states that the distribution of sample means approaches a normal distribution as the sample size increases. Typically, sample sizes of 30 or more are seen to be adequate for the CLT to hold.

The central limit theorem implies that even if a population isn't normally distributed if you take sufficiently big samples from it, the samples' means will be normally distributed.

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90 x 120 = 10800

10800/2 = 5400

Answer:

Step-by-step explanation:

so this is the problem:

90x120=x/2

first, you can multiply 90 and 120 to get 10800.

then, your equation looks like this

10800=x/2

you can multiply both sides by 2

2(10800)=(x/2)(2)

then, you get this

21600=x

hope this helped!!!

The error in performing the operation and writing the answer in standard form is in the step where -21² is calculated incorrectly as -21². The correct calculation for -21² is 441.

Corrected Solution:

To correct the error and accurately perform the operation, let's go through the steps:

Step 1: Expand the expression using the distributive property:

(3 + 2i)(5 - 1) = 3(5) + 3(-1) + 2i(5) + 2i(-1)

= 15 - 3 + 10i - 2i

Step 2: Combine like terms:

= 12 + 8i

Step 3: Write the answer in standard form:

The standard form of a complex number is a + bi, where a and b are real numbers. In this case, a = 12 and b = 8.

Therefore, the correct answer in standard form is 12 + 8i.

The error occurs in the subsequent steps where -21² and 2¡² are calculated incorrectly. The value of -21² is not -21², but rather -441. The expression 2¡² is likely a typographical error or a misinterpretation.

To correct the error, we replace -21² with the correct value of -441:

= 15 + 7i - 441 + 7i + 15

= -426 + 14i

Hence, the correct answer in standard form is -426 + 14i.

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Answer:

In this question the value of x is given 29 so put it in the equation to get answer

\(h(x) = {x}^{2} + 4\)

put the value of x = 29 in the above equation

\(h(x) = {29}^{2} + 4\)

so after solving this equation we get our answer

\(h(x)= 841 + 4\)

\(h(x) = 845\)

Hope it helps u mate

if u like leave a thank

Answer:

the variable x=12.5

Step-by-step explanation:

so first you will insert 29 to the equation

29= x2+4

now you subtract 4 from 29

29-4= 25

since you are multiplying you have to do the opposite operation which would be division so now divide 25 by 2

25/2

now insert your answer

h(12.5)=(12.5)2+4

h would be considered 2.32