f(x) = 2x² + 2, find f(5).?​

The error in writing the rule for the nth term of the geometric sequence is in the step where the value of a₁ is determined. The correct value for a₁ is √(147/49) or √3, not √√21.

In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio (r). The general formula for the nth term (aₙ) of a geometric sequence is given by aₙ = a₁ * r^(n-1), where a₁ is the first term and r is the common ratio.
Given that a₃ = 147 and r = 7, we can find the value of a₁ by substituting these values into the formula. Let's correct the error in the calculation step:
a₃ = a₁ * r^(3-1)
147 = a₁ * 7²
147 = a₁ * 49
To isolate a₁, we divide both sides of the equation by 49:
a₁ = 147 / 49
a₁ = 3
Therefore, the correct value for a₁ in the geometric sequence is 3, not √√21 as stated in the error.

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Answer:

10-3*(6+5)-4=63

Step-by-step explanation:

I used a calculator until I got the answer.

The correct parentheses to put in equation is 100-3(6+5)-4 = 63

A parenthesis or parenthetical phrase is an explanatory or qualifying word, clause, or sentence inserted into a passage.

Given that, expression, 100 - 3 x 6 + 5 - 4= 63

To make equation true, just put parentheses around (5+6)

That will give,

100-3(6+5)-4

= 100 - 33 - 4

= 100 - 37

= 63

Hence, the correct parentheses to put in equation is 100-3(6+5)-4 = 63

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The given information consists of a series of equations involving variables b1, b3, and b4, as well as the constant values 8, 9, and 10. The objective is to calculate the value of b3.

To find the value of b3, we need to analyze the given equations and use algebraic techniques to solve for the unknown variable.
From the equations given, we can observe that b1 = 10, b4 = 9, and 62 = 8. These values provide fixed points of reference.
Next, we examine the equations involving b3. We have two equations: b3 - a = 15 and b3 - b = 10. However, there is no information provided about the values of a and b. Without additional information or constraints, we cannot determine the specific value of b3.
It is important to note that the solution to the problem depends on having all the necessary information or additional equations that can be used to solve for the unknowns. In this case, the lack of information about the values of a and b prevents us from calculating the exact value of b3.

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Answer:

53 degrees

Step-by-step explanation:

75 - 22 = 53

Answer:

53

Step-by-step explanation:

75 - 22

Answer:

The sum of the two acute angles in a right triangle is always 90°, we can conclude that the smaller acute angle is 50°.

Step-by-step explanation:

To find the smaller acute angle in the right triangle, we can solve the given equation using inverse trigonometric functions.

sin(9°) = cos(41°)

Using the fact that sin(x) = cos(90° - x), we can rewrite the equation as:

sin(9°) = sin(90° - 41°)

Now, we can set the angles inside the sin function equal to each other:

9° = 90° - 41°

Rearranging the equation, we get:

41° = 90° - 9°

Combining like terms, we have:

41° + 9° = 90°

Simplifying further:

50° = 90°

Since the sum of the two acute angles in a right triangle is always 90°, we can conclude that the smaller acute angle is 50°.

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The results indicate that encountering sales clerks who smile could potentially increase customer purchases.

From the information given, we have that;

The four stores in the smile condition were 36, 40, 36, and 44;

To determine the t-value, we need to first calculate the mean for the control condition, we have;

Mean = 36 + 40 + 36+ 44/4

Mean =126/4

Mean = 32

Mean for the smile condition;

Mean = 39

One can employ a t-test to compare the average values of the two situations in order to scrutinize the outcomes. With a significance level of 0. 05, a two-tailed test with six degrees of freedom would require a critical t-value of around 2. 447

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Answer:

Rounded to the nearest thousand is better

Step-by-step explanation:

Well if you round to the nearest thousand then it’s 17,000. But if you round to the nearest ten thousand then it would be 20,000. So to find which is more accurate just subtract the original number from the rounded number. So the one rounded to the thousand would be off by 150 whic isn’t bad, but when you subtract the one Rounded to the nearest ten thousand then it would be off by 3150 which is way off. So rounding to the nearest thousandth is the better choice.

Answer:

576

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer:

7m

Step-by-step explanation:

Given

- 9(- 5k + 3m) + 9m - 5(- 5m + 9k) ← distribute both parenthesis

= 45k - 27m + 9m + 25m - 45k ← collect like terms

= 7m

Answer:

-51.136

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 527

Answer:

Irrational

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

twenty-three and seven hundred six thousandths is 23.706

When the expression inside the logarithm becomes zero, the natural logarithm is undefined and approaches negative infinity. In (c), as x approaches 9 from the left, the denominator becomes zero, resulting in the natural logarithm approaching infinity. In (d), as x approaches infinity, the expression 8/x approaches zero, and the natural logarithm of zero is negative infinity.

(a)  To evaluate the limit lim ln(x^2 - 25) as x approaches 5+, we substitute x = 5 into the function:

lim ln(x^2 - 25) = ln((5^2) - 25) = ln(0) = -INFINITY

(b)  To evaluate the limit lim ln(x^2 - 49) as x approaches -7-, we substitute x = -7 into the function:

lim ln(x^2 - 49) = ln((-7^2) - 49) = ln(0) = -INFINITY

(c) To evaluate the limit lim ln(1/(9 - x)) as x approaches 9-, we substitute x = 9 into the function:

lim ln(1/(9 - x)) = ln(1/(9 - 9)) = ln(1/0) = INFINITY

(d)  To evaluate the limit lim ln(8/x) as x approaches infinity, we substitute x = infinity into the function:

lim ln(8/x) = ln(8/infinity) = ln(0) = -INFINITY

Note: In (a) and (b), when the expression inside the logarithm becomes zero, the natural logarithm is undefined and approaches negative infinity. In (c), as x approaches 9 from the left, the denominator becomes zero, resulting in the natural logarithm approaching infinity. In (d), as x approaches infinity, the expression 8/x approaches zero, and the natural logarithm of zero is negative infinity.

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Answer:

the first one..... I guess

Answer:

D

Step-by-step explanation:

Undefined terms are words that are not formally defined.

Hope this helps!

The number in a radical needs to be square rooted to get placed out of it, so the square root of 20 can be split into the square root of 4 times the square root of 5, which can then be simplified to 2 rad 5, but there is a 2 outside of the radical, so then it becomes 4 rad 5, which is equivalent to 4 rad 5 so the first one is an answer.

Raising a number to the exponent of 1/2 is basically square rooting it.

For the second one, it's rad 6 - rad 5, which is not equal to 4 rad 5. That is not an answer.

For the third one, it's 3 times rad 5 + rad 5. That's 3rad5 + rad5. That's 4 rad 5, which is equal to 4 rad 5 at the top, so this is an answer.

For the fourth one, it's 4 times rad 5, so that's 4 rad 5, which is equal to 4 rad 5. That is an answer.

For the fifth one, 10 cannot be simplified to get out of the radical because it's only factors are 2 and 5, and neither of them are squares. That is not an answer.

For the sixth one, it's 3 times rad 5, so it's 3 rad 5. That is not an answer.

The answers are the first one, third one, and fourth one.

Hope this helps

Answer:

9 3/8.

Step-by-step explanation:

multiply 3 3/4 times 2 1/2.

Capers engaged in various transactions, including purchasing merchandise, selling merchandise, buying office supplies, paying salaries, and selling equipment, resulting in financial impacts on their accounts.

The journal entries for the given transactions would be as follows:

1. Purchase of merchandise from UK Imports Co.

Accounts Payable 13,701

Merchandise Inventory 13,701

2. Sale of merchandise to a customer

Accounts Receivable [Amount of sale]

Sales [Amount of sale]

Cost of Goods Sold [Cost of goods sold]

Merchandise Inventory [Cost of goods sold]

3. Cash sale of merchandise

Cash [Amount of sale]

Sales [Amount of sale]

Cost of Goods Sold [Cost of goods sold]

Merchandise Inventory [Cost of goods sold]

4. Purchase of office supplies

Office Supplies [Cost of supplies purchased]

Cash [Cost of supplies purchased]

5. Payment of salaries

Salary Expense [Amount of salaries paid]

Cash [Amount of salaries paid]

6. Sale of equipment

Cash [Amount received from sale]

Accumulated Depreciation—Equipment [Total accumulated depreciation]

Equipment [Original cost of equipment]

Gain on Disposal [Difference between amount received and the original cost of equipment]

In conclusion, the company Capers conducted transactions including merchandise purchasing and selling, purchase of office supplies, payment of salaries and equipment sale.

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Answer:

The answer is option 3.

Step-by-step explanation:

In a linear equation, y = mx + b where m represents gradient and b is the y-intercept (line touches y-axis).

In this graph, the gradient is positive and the y-intercept is -3.

So the possible function for this is f(x) = x - 3 .

Answer:

B. 33 1/3%

Step-by-step explanation:

The total time, they played in the pool,

t = 2 hours =2x60= 120 minutes.

The time in which, they swam in the pool, [tex]t_1 =45[/tex] minutes.

The time in which, they played on the water slides, [tex]t_2 =35[/tex] minutes.

They played sand volleyball for the rest of the time.

Let [tex]t_3[/tex] be the time in which, they played sand volleyball.

So, the total time= [tex]t_1+t_2+t_3 = t[/tex]

Using the given values, we have

[tex]45+35 +t_3=120[/tex]

[tex]\Rightarrow t_3=120-80=40[/tex] minutes

The percentage of time for which they played volleyball

[tex]=\frac{t_3}{t}\times 100[/tex]

[tex]=\frac{40}{120}\times 100[/tex]

[tex]=33\frac{1}{3} \%[/tex]

Hence, option (B) is correct.

This question was not written properly

Complete Question

The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard deviation is 2.4 years. Use the empirical rule (68-95-99.7\%)(68−95−99.7%) to estimate the probability of a lion living between 5.3 to 10. 1 years.

Answer:

Thehe probability of a lion living between 5.3 to 10. 1 years is 0.1585

Step-by-step explanation:

The empirical rule formula states that:

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

3) 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean is given in the question as: 12.5

Standard deviation : 2.4 years

We start by applying the first rule

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

12.5 -2.4

= 10.1

We apply the second rule

2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

μ – 2σ

12.5 - 2 × 2.4

12.5 - 4.8

= 7.7

We apply the third rule

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

μ - 3σ

= 12.5 - 3(2.4)

= 12.5 - 7.2

= 5.3

From the above calculation , we can see that

5.3 years corresponds to one side of 99.7%

Hence,

100 - 99.7%/2 = 0.3%/2

= 0.15%

And 10.1 years corresponds to one side of 68%

Hence

100 - 68%/2 = 32%/2 = 16%

So,the percentage of a lion living between 5.3 to 10. 1 years is calculated as 16% - 0.15%

= 15.85%

Therefore, the probability of a lion living between 5.3 to 10. 1 years

is converted to decimal =

= 15.85/ 100

= 0.1585

Answer:

The probability of a particular lion living less than 10.1 years is 16%

Answer:

284/3 πx³

Step-by-step explanation:

Volume of a cylinder is expressed as shown:

V = πr²h

r is the radius of the cylinder

r = diameter/2

r = 8x/2

r = 4x

Height of the cylinder = 6x

Volume of the roll with out the hole

V = π(4x)²(6x)

V = 16x²π(6x)

V = 96πx³

The hole in the middle will be a solid sphere with diameter 2x (radius will be x)

Volume of the hole = 4/3πr³

Volume if the hole = 4/3πx³

Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole

= 96πx³ - 4/3πx³

= (96-4/3)πx³

= 284/3 πx³

Answer:

EHC=131.19

EHD=48.81

CHG=48.81

DHG=131.19

HGA=131.19

HGB=48.81

AGF=48.81

BGF=131.19

Step-by-step explanation:

This is exactly from Plato

Answer:

EHC=131.19

EHD=48.81

CHG=48.81

DHG=131.19

HGA=131.19

HGB=48.81

AGF=48.81

BGF=131.19

Step-by-step explanation:

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Answer:15

Step-by-step explanation:

I think if you add 10+10+8+8 you will get 36, and if you subtract the total from 36, it will be 51-36 which equals 15

From the above-mentioned data, it can be inferred that: When the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10 while the income effect causes the individual to change consumption of good 1 by −6.

The total effect can be calculated as the sum of both substitution and income effects. The total effect = substitution effect + income effect= 10 - 6= 4Thus, the total effect is 4.Now, to determine whether good 1 is normal or inferior, we need to consider the sign of the income effect.

If the income effect is negative, the good is inferior, and if it's positive, the good is normal.Since the income effect here is negative (-6), we can conclude that good 1 is inferior.

According to the given data, we can calculate the total effect, which is the sum of the substitution and income effects.  The substitution effect refers to the change in consumption of a good due to the relative price change, while the income effect refers to the change in consumption of a good due to the purchasing power change.  when the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10, while the income effect causes the individual to change consumption of good 1 by −6. Therefore, the total effect can be calculated as the sum of both substitution and income effects, which is 10 - 6 = 4.From the data, it can also be determined whether good 1 is normal or inferior. A good is considered normal when its income effect is positive and inferior when its income effect is negative. Since the income effect here is negative (-6), it can be concluded that good 1 is inferior.Thus, the total effect is 4, and good 1 is inferior.

The total effect is 4, and good 1 is inferior.

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