how do I work this out I need full answer im lost​

The exponent that is understood on the base x in the given expression is; 1

The exponent of a number tells us how many times to use the number in a multiplication. Exponents are also called Powers or Indices. For example in the exponent form ab^(x), we can say that;

The base is a and its' exponent is 1.

Applying the above to our question gives us;

If the exponent form is xy^3, then we can say that;

The base is x.

We can see that there is no exponent attached to x and as such we will use 1 as 1 will still give us the value of x.

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The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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When talking about a scale drawing or model, the scale factor is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object.

This can be written as a fraction, with the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if a drawing of a building has a scale factor of 1:100 and the length of a wall on the drawing is 5 cm, the corresponding length on the actual building would be 500 cm (5 cm x 100). Therefore, the scale factor can be written as 5/500 or simplified to 1/100.

When talking about a scale drawing or model, the term you're looking for is "scale factor." It is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. To write this as a fraction, you would place the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if the scale factor is 1:10, you would write it as 1/10.

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The maximum number of questions Jesse could have answered correctly is 36.

Let's assume Jesse answered x questions correctly. Since there are 50 questions in total, Jesse must have attempted 50 - x questions incorrectly or left blank.

For each correct answer, Jesse receives 4 points, so the total points for correct answers would be 4x. For incorrect answers, Jesse loses 1 point for each, resulting in a deduction of (50 - x) points. The total score is given as 99.

We can now set up an equation to represent this situation:

4x - (50 - x) = 99

Simplifying the equation, we get:

5x - 50 = 99

5x = 149

x = 29.8

Since x represents the number of questions answered correctly, it must be a whole number. Therefore, the maximum number of questions Jesse could have answered correctly is 36 (as 35 would result in a score of 140, which is greater than 99

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Answer:

It's A. segment A"B" is closer to segment C than segment A"B".

Step-by-step explanation:

The correct answer is option b. 1/36 is the expected value (Lesson 8.3: Unbiased Point Estimation. If X1, of the sample variance S2.

In unbiased point estimation, the expected value of the sample variance S2 is a crucial idea. When a sample is drawn from a population repeatedly, an average value of S2 is what is anticipated.

The population variance divided by the sample size represents the expected value of S2. It is, in other words, the population variance divided by n-1, where n is the sample size.

As a result, the expected value of the sample variance S2 for a sample size of 6 is equal to 1/36.

As a result, when a sample is drawn from a population repeatedly, the average value of S2 will be equal to 1/36 of the variance in the population.

Complete Question:

What is the expected value (Lesson 8.3: Unbiased Point Estimation. If X1, of the sample variance S2?

a. 1/6

b. 1/36

c. 6

d. 36

e.60

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Answer:

33.514

Step-by-step explanation:

i mightve maybe used a calculator

c) the volume of the solid is 243/28 cubic units.

a. To find the area of R, we need to determine the points of intersection of the graphs y = sqrt(x) and y = x/3 in the first quadrant.

Setting sqrt(x) = x/3, we get x = 9/4. So, the region R is bounded by x = 0, x = 9/4, y = sqrt(x), and y = x/3.

Thus, the area of R is given by the integral:

∫[0,9/4] [sqrt(x) - x/3] dx

= [2/3 x^(3/2) - 1/6 x^2] evaluated from 0 to 9/4

= (2/3)(9/2)^(3/2) - (1/6)(9/4)

= 3√2 - 3/8

Therefore, the area of R is 3√2 - 3/8 square units.

b. To find the volume of the solid generated when R is rotated about the vertical line x = -1, we use the disk method. Each disk has a radius equal to the distance from x = -1 to the curve, and a thickness of dx.

The distance from x = -1 to y = sqrt(x) is 1 + sqrt(x), and the distance from x = -1 to y = x/3 is 1 + 3y. So, the volume of the solid is given by the integral:

∫[0,9/4] π[(1 + sqrt(x))^2 - (1 + 3x)^2] dx

= π ∫[0,9/4] (2sqrt(x) - 8x - 8sqrt(x)x) dx

= π [(4/3)x^(3/2) - 4x^2 - 4/3 x^(5/2)] evaluated from 0 to 9/4

= (16/3)π - (81/2)π/5 + (64/15)π

= (152π/15) - (81π/10)

= 19π/30

Therefore, the volume of the solid generated when R is rotated about the vertical line x = -1 is 19π/30 cubic units.

c. Since the cross sections perpendicular to the y-axis are squares, the area of each cross section is equal to the square of the corresponding value of y. So, the volume of the solid can be found by integrating the area of each cross section with respect to y.

The height of each cross section is given by the difference between the y-coordinates of the curves y = sqrt(x) and y = x/3 at a given value of y.

Thus, the volume of the solid is given by the integral:

∫[0,3] y^2 [sqrt(y) - y/3]^2 dy

= ∫[0,3] y^(5/2) - 2y^(7/2)/3 + y^3/9 dy

= [2/7 y^(7/2) - 4/27 y^(9/2) + 1/12 y^4] evaluated from 0 to 3

= (54/7) - (324/27) + (81/4)

= 54/7 - 36/1 + 81/4

= 243/28

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Answer:

$ 181

Step-by-step explanation:

He has total savings account= $550

If he took out every month = $ 30.75 ,

= $ 369

micheal has total balance = $ 550 - $369

= $ 181

The indifference curve equation given is x2 = 20 - 4x^(1/2)*1, where x1 and x2 represent the quantities of two goods Ambrose is consuming.

The marginal rate of substitution (MRS) measures the rate at which Ambrose is willing to trade one good for the other while remaining on the same indifference curve. It is calculated as the negative ratio of the derivatives of the indifference curve with respect to x1 and x2, i.e., MRS = -dx1/dx2. Given that Ambrose is consuming the bundle (4,16), we can substitute these values into the indifference curve equation to find the corresponding MRS.  Plugging in x1 = 4 and x2 = 16, we have: 16 = 20 - 4(4)^(1/2)*1; 16 = 20 - 8; 8 = 8. This confirms that the bundle (4,16) lies on the indifference curve. Now, we are given that the MRS at this point is 25/4.

Therefore, we can set up the following equation: dx1/dx2 = 25/4. Simplifying, we have: dx1/dx2 = -25/4. This indicates that the rate at which Ambrose is willing to trade good x1 for good x2 at the bundle (4,16) is -25/4. The MRS represents the slope of the indifference curve at a given point and reflects the trade-off between the two goods. In this case, it indicates that Ambrose is willing to give up 25/4 units of good x1 in exchange for one additional unit of good x2 while maintaining the same level of satisfaction.

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The solution to the system of linear equation are -1 and 2

A system of linear equations is a collection of two or more linear equations with the same variables. The goal is to find the values of the variables that satisfy all the equations in the system. Linear equations are equations that have variables that are raised to the power of 1 and the coefficients of the variables are real numbers.

In the problem, we have equations as;

y = 2x + 4 ..eq(i)

x + y = 1 ...eq(ii)

Plotting this on a graph,

The value of x and y are -1 and 2

From the above, the solutions the student gave is wrong

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Answer:

Step-by-step explanation:

sum of the first 8 terms of the geometrical progression is 255.

geometrical progression  it is the sequence of non-zero number where any element after the first is obtained by multiplying the preceding element by a constant number which referred as common ratio.

here sequence is 1,2,4,8.. so common ratio is 2 because each no is multiple of 2.

now we consider the first element as "a" and common ratio as "r "and no of terms as" n

so a=1,r=2,n=8

sum (S8)=A1(R^n-1)/(r-1)

sum=1((2)^8-1)/2-1

 sum =255/1

  sum=255

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You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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The required observations are:

Least Value = 8; Q1 = 10; Q2 = 12; Q3 = 15; Greatest Value = 19.

Given the observations are: 15, 19, 8, 12, 11, 19, 10, 13, 8, 12.

Arranging the values in ascending order we get:

8, 8, 10, 11, 12, 12, 13, 15, 19, 19

So the least value is = 8

Greatest value is = 19

Number of observations = 10

Median is,

Q2 = Average of (10/2)th and (10/2 + 1)th observations

Q2 = Average of 5th and 6th observations

Q2 = (12 + 12)/2

Q2 = 12

Now first half of the observations:

8, 8, 10, 11, 12

Number of observations in first half = 5

First Quartile is,  

Q1 = The ((5 + 1)/2) th observation = 3rd observation = 10

Now second half of the observations:

12, 13, 15, 19, 19

Number of observations in second half = 5

Third Quartile is,

Q3 = The ((5 + 1)/2) th observation = 3rd observation = 15

Hence, Least Value = 8; Q1 = 10; Q2 = 12; Q3 = 15; Greatest Value = 19.

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Answer:

food \(\geq\) 100

favors \(\geq\) 50

total \(\leq\) 250

Answer:

Thinking Process

(i) Firstly, determine the factors of quadratic polynomial by splitting middle term.

(ii) The two different values of zeroes put in bioquadratic polynomial.

(iii) In both the case if remainder is zero, then bioquadratic polynomial is divisible by

quadratic polynomial.

Answer:

2x⁴ - 5x³ + 2x² - x + 2=

2x²(x²-3x+2) +x³-2x² -x +2=

2x²(x²-3x+2) + x(x²-3x+2) +x² -3x +2=

(x²-3x+2)(2x²+x+1)

since x²-3x+2 is the factor of the given polynomial, we can state the polynomial is divisible by x²-3x+2

-------------

note: x²+3x+2 is not the factor of the given polynomial

Answer:

multiply everything in the bracket e.g f multiplied by -g + 7.g multiplied by 6 =-1 -9g+7g6 but what is he full question? hun

Answer: 3.(3f+14g not sure if I’m correct that’s just what I got

Answer:

10 shelves

Step-by-step explanation:

out of the other choices, 10 is most suitable to divide with 80

Answer:

4

Step-by-step explanation:

(a,a),(a,b),(b,a),(b,b)

Answer:

Acute

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

if the angle is less than 90 degrees, it is acute. if the angle is larger than 90 degrees, it is obtuse. if an angle is exactly 90 degrees it is a right angle. angles 3 and 6 are smaller than 90 degrees so they are acute

Answer:

less than or equal to

Step-by-step explanation:

is used when a number cannot be bigger than a  number, can be smaller or equal to

Answer:

Less than or equal to.

Step-by-step explanation:

So if I had 5 ≤ Z then Z is either the same thing as 5 or less than it.

Answer:

y=2x+4

Step-by-step explanation:

It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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Answer:

2 3/4 > 2 4/6

Step-by-step explanation:

Answer:

2 3/4 < 2 4/6

Step-by-step explanation:

brainlist plz thx

Answer:

The measurement for the length of the walls.

Step-by-step explanation:

Given

\(Cost = \$22\) per gallon

\(Height = 9ft\)

\(1\ gallon = 40ft^2\)

See comment for complete question

Required

The additional information needed to solve the question

First, we need to calculate the area of the walls of the bedroom.

The height of the ceilings represents the length/width of the walls; so, we need the width of each side of the bedroom.

Since the width is not given, then we can conclude that the additional information needed is the length/width of the walls.

Answer: 2nd option

Step-by-step explanation:

However, with just these two components, we can get a sense of the general direction and magnitude of the fluid's movement.

A flow field can be defined as the way in which fluid moves through a given space. In this particular example, the flow field is defined by two components, u and v. The u component is given as (2x^2+1) m/s, where x is in meters. The v component is given as (xy) m/s, where both x and y are in meters. These components tell us how the fluid is moving in both the x and y directions. The u component increases as x increases, while the v component increases as both x and y increase. To fully understand the flow field, we would need to visualize how the fluid is moving in three-dimensional space.

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Answer:

B. 7.735 km

Step-by-step explanation:

The height of a mountain is 7735 meters. What is its height in kilometers?

✓ It is: 7735/1000 = 7.735 kilometers

Answer: B

as 1000 metres = 1 km

Answer:

$0.39

Step-by-step explanation:

First find the unit rate for store B ( $8.84/13)

At store B Artuto spends $0.68 for one bottle of apple juice

At store A they spent $0.29

0.68-0.29= 0.39

if two angles are vertical what is the m = 28.

What a vertical angle?

if two angles are vertical

Then

m 2x+7= m

4x-14=m

So,

         2x+7 = 4x - 14

          4x - 2x = 14 + 7

           2x = 21

            x = 21/2

put value of x

2x+7= m ⇒  2 × 21/2 + 7

               = 21 + 7 = 28

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