What’s the answer for number 5

The value of the a is 2.

What is the fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many parts of a particular size there are when used in conversational English.

We have,

8⁻¹ / 4⁻¹ - a⁻¹ = 1

By simplifying the given equation we get,

8⁻¹ - a⁻¹ = 1 * 4⁻¹

By further calculating the equation,

1/8 - 1/a = 1/4

4(1/8 - 1/a) = 1

4/8 - 4/a = 1

1/2 - 4/a = 1

4/a = 1/2

1/a = 4/2

a = 2/4

a = 2

Hence, the value of the a is 2.

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Answer:

is the answer y4

Step-by-step explanation:

System of Equations

Given the system of equations:

x + z = 6

2x + 4z = 1

To solve the system by the elimination method, we must make the coefficients of one variable opposite.

It's required to eliminate the z-term which means we must make the coefficients of z opposite on both equations.

The coefficient of z is 4 in the second equation, so to eliminate the variable, we must multiply the first equation by -4 as follows:

-4x - 4z = -24

Now when we add both equations, the z is eliminated.

Answer: Multiply equation A by −4.

A discrete variable is a variable whose value is obtained by counting while a continuous variable is a variable whose value is obtained by measuring.

From the question,

The number of cars a car dealer sells in a day is a discrete variable.

The time it takes to have a medical physical exam is a continuous variable.

The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

Given that,

We have to find for the marginal revenue function, locate the demand function.

Remember that the income is zero if no things are sold:

R'(x) = 0.06x² - 0.05x + 152

p(x) is what.

We know that,

MR = dTR/dx = 0.06x² - 0.05x + 152

Integrating the marginal revenue function , we get total revenue function,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x

= (0.06x³)/3 - (0.05x²)/2 + 152 x

TR  = 0.02 x³ - 0.025 x² + 152 x

TR = (P)(Q) = (P)(x) =  0.02 x³ - 0.025 x² + 152 x

P = ( 0.02 x³ - 0.025 x² + 152 x)/x

P = 0.02x² -0.025x + 152

Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

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Answer:

5

Step-by-step explanation:

it can be found in two ways

f(n)-f(n-1) is common difference of the sequence.

knowing f(n) = f(n-1) + 5

f(n)-f(n-1)=5

so 5 is difference of the sequence.

other method is

f(1)=4

f(2)=?

f(n)=f(n-1)+5 n=2

f(2)=f(2-1)+5

f(2)=f(1)+5

f(2)=4+5=9

f(2)-f(1)=9-4=5

so 5 is difference of the sequence.

Answer:

scale factor = \(\frac{3}{4}\)

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , Q to P , then

scale factor = \(\frac{3}{4}\)

The probability that both Event A (the first die is 4 or less) and Event B (the second die is even) will occur is 1/3.

To find the probability that both Event A and Event B will occur, we need to calculate the individual probabilities of each event and then multiply them together.

Event A: The first die is 4 or less.

There are 6 possible outcomes for the first die (numbers 1 to 6), and out of those, 4 outcomes (numbers 1, 2, 3, and 4) satisfy the condition. Therefore, the probability of Event A is 4/6, which simplifies to 2/3.

Event B: The second die is even.

For a fair six-sided die, there are 3 even numbers (2, 4, and 6) out of a total of 6 possible outcomes. Therefore, the probability of Event B is 3/6, which simplifies to 1/2.

To find the probability that both events will occur, we multiply the probabilities of Event A and Event B:

Probability of both events occurring = Probability of Event A * Probability of Event B

P = (2/3) * (1/2)

P = 2/6

P = 1/3

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To solve this problem, we need to use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d  where a1 is the first term, d is the common difference, and n is the term number.  This means that the first term is 118, the common difference is -6, and each subsequent term is found by subtracting 6 from the previous term.

We know that the 4th term is 100, so we can substitute this into the formula:
a4 = a1 + (4-1)d
100 = a1 + 3d

Similarly, we know that the 13th term is 46:
a13 = a1 + (13-1)d
46 = a1 + 12d
Now we have two equations with two unknowns (a1 and d), which we can solve by elimination or substitution. I will use elimination:
100 = a1 + 3d
-46 = -a1 - 12d
------
54 = -9d
d = -6
Now we can substitute d back into one of the equations to solve for a1:
100 = a1 + 3(-6)
a1 = 118
Therefore, the expression for the general term of the arithmetic sequence is:
an = 118 - 6(n-1) or  an = 124 - 6n

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The trapezoidal rule uses trapezoidal approximations to approximate the definite integral, whereas the midpoint rule uses rectangular regions to do so. By first approximating the original function with piecewise quadratic functions, Simpson's rule approximates the definite integral.

Since

"frac" (1-x) = (1-x)-1 = 1+x2+x3+x4+.... = "sum_n=0" infty" xn "hspace"

5mm for "left | x | 1"

How can a power-based integral be evaluated?

Power Rule for Integrals To apply this rule, simply add one to the exponent.The expression is then divided by the same number.The constant C is added in the final step. Now, we will solve some problems to determine the integrals of polynomials and root functions.

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Answer:

The answer is C

Answer:

Increasing (-8,-5) & (3, ∞)

Decreasing (-5,-2)

constant (-2,3)

Step-by-step explanation:

The area of the triangles in the picture are

1. 17.5 square units

2. 5 square units

3. 10 square units

The formula for area of triangles is given by

= 1/2 * base * height

1.

base = 5

height = 7

= 1/2 * 5 * 7

= 17.5 square units

2.

base = 5

height = 2.1

= 1/2 * 5 * 2.1

= 5.25 square units

3.

base = 4

height = 4

= 1/2 * 4 * 5

= 10 square units

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Answer:

07n + 6

Step-by-step explanation:

Given: The cost of 7 t-shirts and a $6 tax

Let n represent the cost of 1 t-shirt.

Then, the total cost of 7 t-shirts would be 7n.

Adding the $6 tax gives a total cost of 7n + 6.

Therefore, the correct option is:

07n + 6

The answer choice which could represent the cost of 7 t-shirts and a $6 tax as in the task content is: 7n + 6.

It follows that the cost of 7 t-shirts and a $6 tax is the statement which is to be represented algebraically.

On this note, it follows that the if the cost of each t-shirts is taken to be: n.

Therefore, the required representation of the total cost would be:

\(\rightarrow\bold{7n + 6}\)

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Answer: -10b^2+ 12b-16

Step-by-step explanation: i just know its right.

The lateral surface area of the cone is 1885 square meters

From the question, we have the following parameters that can be used in our computation:

A cone

Where we have

Slant height, l = 40 meters

Radius = 15 meters

The lateral surface area of the figure is then calculated as

LA = πrl

Substitute the known values in the above equation, so, we have the following representation

LA = π * 40 * 15

Evaluate

LA = 1885

Hence, the lateral surface area of the cone is 1885

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Question

4. Find the lateral area of the cone to the nearest whole number.

Slant height, l = 40 meters

Radius = 15 meters

To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

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The number of significant figures is:

c. 3

The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number. 6.658, for instance, has four significant digits.

To determine the number of significant figures in the result of a sum, we need to consider the least number of significant figures present in the numbers being added.

In the given sum, we have 8.5201 and 1.93.

The number 8.5201 has five significant figures, and the number 1.93 has three significant figures.

When we add these two numbers, the result is 10.4501.

Since 1.93 has three significant figures, the result of the sum should also have three significant figures.

Therefore, the number of significant figures is:

c. 3

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In the given case-Interval notation can be used to express the subsets of the real number line.

The definition of set interval notation

In interval notation, the set's rightmost number is written after the set's leftmost number, followed by a comma. The pair is then enclosed in either parentheses or square brackets, depending on whether the two integers are members of the set.

An interval is a set made up of every real number between two particular numbers, which is how a set and an interval differ from one another. An interval's endpoint can be any of the two locations at the line segment's end. The subsets of the real number line can be written in interval notation.

To essentially list numbers, objects, or results in mathematics, set notation is frequently used. Often referred to as braces, curly brackets

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Answer:

c 15.9 m

Step-by-step explanation:

you are welcome

Answer:

Step-by-step explanation:

\(\frac{4-(-1)}{3-(-2)}\) =\(\frac{5}{5}\)= 1

Answer:

The answer is 26.2.

Step-by-step explanation:

To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we  convert 70% into a decimal which is 0.70.  then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.

Hope this helps!

The equation when solved for x gives x = √3 - 5y

It is important to note that the subject of formula in an equation is the variable that is being worked out.

This variable is made to stand alone on one end of the equality sign.

From the information given, we have the equation;

y = 3√(x²+3)÷15

cross multiply the values

15y = 3√(x²+3)

Divide both sides by the coefficient of √(x²+3)

15y/3 = √(x²+3)

Divide the values

5y = √(x²+3)

Find the square of both sides

25y² = x² + 3

collect terms

x² = 3 - 25y²

Find the square root

x = √3 - 5y

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Answer:

58.2677

Step-by-step explanation:

148 divide the length value by 2.54

Answer:

1 inch = 2.54 cm

148 / 2.54 = 58.2677165354 inches

Step-by-step explanation:

A sampling distribution is normal only if the population is normal. This  statement is false because A sampling distribution is normal only if n≥30.

If the underlying population is normally distributed, the sampling distribution (such as the sample mean distribution, also known as the xbar distribution) is also normally distributed. Even though the population is not normally distributed, the x(bar) distribution is approximately normal if n > 30, due to the central limit theorem. Some textbooks may use values ​​above 30, but after a certain threshold the x(bar) distribution is effectively "normal".

Option B is close, but misses the normal population part. n > 30 is not necessary if we know the population is normal.

A sampling distribution is the probability distribution of a statistic obtained from a large number of samples drawn from a particular population. The sampling distribution for a given population is the frequency distribution of a range of different outcomes that can occur in the population.

In statistics, a population is the entire basin from which a statistical sample is drawn. A population can refer to an entire population of people, objects, events, hospital visits, or measurements. Thus, a population can be said to be a global observation of subjects grouped by common characteristics.

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1 1/12 square yards per hour

FIGHTING!

Step-by-step explanation:

y = mx + c, where m is the gradient and c is the y-intercept of the line.

We already know that m = 8.

When x = -4, y = 3.

=> 3 = 8(-4) + c = c - 32. So c = 35.

Hence, the line equation is y = 8x + 35.

The exact values of \(\( s \)\) in the interval \(\([-2\pi, \pi)\)\) that satisfy the condition \\((\cot^2 s = 3\) are \( s = \pm \frac{\pi}{3} \)\).

To find the values of \(\( s \)\) that satisfy the equation \(\(\cot^2 s = 3\)\), we need to take the square root of both sides: \(\(\cot s = \sqrt{3}\)\). Since the cotangent function is positive in the interval\(\([-2\pi, \pi)\)\), we can focus on the positive value of \(\(\sqrt{3}\)\).

The positive value of \(\(\sqrt{3}\)\) corresponds to a reference angle of \(\(s = \frac{\pi}{3}\)\)in the first quadrant. Since the cotangent function has a period of \(\(\pi\)\), we can also find another solution in the fourth quadrant. In the fourth quadrant, the reference angle is \(\(s = -\frac{\pi}{3}\)\).

Therefore, the exact values of\(\(s\)\) that satisfy the equation \(\(\cot^2 s = 3\)\) in the interval \(\([-2\pi, \pi)\) are \(s = \frac{\pi}{3}\) and \(s = -\frac{\pi}{3}\)\).

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Answer:

8

Step-by-step explanation:

16 times 13 = 208

208 divid by 26 is 8

Answer:

8

Step-by-step explanation:

area = 16ft*13ft= 208ft^2

1 bag = 26 ft^2

208 ft^2/ 26ft^2 = 8 bags

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