4(x-7)=0.3(x+2)+2.11

Answer:

D

Step-by-step explanation:

Undefined terms are words that are not formally defined.

Hope this helps!

Answer:

1.21

2.22

3.23

Step-by-step explanation:

(x + x+1)-x+2=24

just simplify

twenty-three and seven hundred six thousandths is 23.706

Answer:

-4

Step-by-step explanation:

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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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.

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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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:

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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Answer:

the first one..... I guess

Answer:

9 3/8.

Step-by-step explanation:

multiply 3 3/4 times 2 1/2.

Answer:

Step-by-step explanation:

The answer is 527

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:

-51.136

Step-by-step explanation:

Answer:

Step-by-step explanation:

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:

B

Step-by-step explanation:

Certain sequences (not all) can be defined (expressed) as an "explicit" formula. An explicit formula will create a sequence using n, the number location of each term. ... It defines the sequence as a formula in terms of n. It may be written in either subscript notation a n, or in functional notation, f (n).

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

Explanation:

Point A is located at 0.3; each tickmark represents 0.1

0.3 as a fraction is 3/10 because 3 is in the tenths decimal place. This doesn't reduce.

----

Point B is at 0.4 which converts to 4/10 and then that reduces to 2/5. Divide both parts of 4/10 by 2 to get to 2/5

----

Point C is at 0.9 which converts to 9/10. That's as simplified as that fraction gets.

----

Point D is at 0.7 so it becomes 7/10. That doesn't reduce either.

Answer:

read

Step-by-step explanation:

Point A is located at 0.3; each tickmark represents 0.1

0.3 as a fraction is 3/10 because 3 is in the tenths decimal place. This doesn't reduce.

----

Point B is at 0.4 which converts to 4/10 and then that reduces to 2/5. Divide both parts of 4/10 by 2 to get to 2/5

----

Point C is at 0.9 which converts to 9/10. That's as simplified as that fraction gets.

----

Point D is at 0.7 so it becomes 7/10. That doesn't reduce either. So, its all of these, glad I could help :)

The polar coordinates for x² + y² - 4x = 0 are (4 cos θ, θ) where θ is the angle made by the position vector with the positive x-axis in anti-clockwise direction.

We need to write the equation using polar coordinates (r,θ).To express the rectangular coordinates in polar form, we must recall some basic relations:

r = √(x² + y²)And tanθ = y/x

Therefore, tanθ = y/x implies x = r cos θ and y = r sin θ.

Substituting these values into the given equation we get,x² + y² - 4x = 0⇒ (r cos θ)² + (r sin θ)² - 4(r cos θ) = 0⇒ r² (cos²θ + sin²θ) - 4r cos θ = 0⇒ r² - 4r cos θ = 0

Dividing both sides by r, we get, r - 4 cos θ = 0⇒ r = 4 cos θ

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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:

PLATO tutorial pls mark me brainliest

Answer:

Irrational

Step-by-step explanation:

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:

53 degrees

Step-by-step explanation:

75 - 22 = 53

Answer:

53

Step-by-step explanation:

75 - 22

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:

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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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:

x=8/3

Step-by-step explanation:

12.5-4x=2x-3.5

12.5-4x-2x=-3.5

-4x-2x+3.5-12.5

-6x=-3.5-12.5

-6x=-16

thus getting x=8/3

The general solution to the linear system Ax = b is X = Xp + Xn, where Xp = [3, -1, 0]T and Xn = [t, s, t]T.

Given the coefficient matrix A and the constant vector b, we can set up the augmented matrix [A|b] and perform row operations to find the row-echelon form. The row-echelon form will help us determine the particular solution Xp and the solution Xn.

Performing row operations on the augmented matrix [A|b], we have:

[1 2 -1 | 3]

[2 -2 2 | -3]

[3 3 3 | 0]

After performing row operations, we obtain the row-echelon form:

[1 2 -1 | 3]

[0 -6 4 | -9]

[0 0 0 | 0]

From the row-echelon form, we can determine that the system has a free variable, which means it has infinitely many solutions. The associated homogeneous system of equations has a solution of the form Xn = [t, s, t]T, where t and s are free variables.

To find the particular solution Xp, we set the free variables to 0 and solve for the remaining variables in the row-echelon form. In this case, we obtain Xp = [3, -1, 0]T.

Therefore, the general solution to the linear system Ax = b is X = Xp + Xn, where Xp = [3, -1, 0]T and Xn = [t, s, t]T.

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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