order 0.0509km , 60.5 m and 5700cm​

Answer:

Cicumference, area, diameter, and radius.

Step-by-step explanation:

You asked, I answered.

Hope this helped! :)

Answer:

a = 3, b = - 2

Step-by-step explanation:

Given f(1) = 1 and f(2) = 5, that is

substitute x = 1 and equate to 1, substitute x = 2 and equate to 5

a + b = 1 → (1)

2a + \(\frac{b}{2}\) = 5 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate a

- 2a - 2b = - 2 → (3)

Add (2) and (3) term by term to eliminate a

0 - \(\frac{3}{2}\) b = 3

- \(\frac{3}{2}\) b = 3 ( multiply both sides by - \(\frac{2}{3}\) )

b = - 2

Substitute b = - 2 into (1)

a - 2 = 1 ( add 2 to both sides )

a = 3

Then a = 3 and b = - 2

Answer:

Step-by-step explanation:

Question:

7^1/5

The number given has an exponent of a fraction: fraction exponent = 1/5

Since the top is one, the number 7 stays the same. = 7^1 = 7

The bottom is a 5. This means it is to the fifth root.

Answer = D

Hope this helped,

Kavitha

Answer: If 36/7 is one of the options, choose that one.

If the question involves an exponent, you should use the "caret" which is ^ found above the 6 on a keyboard. [Shift + 6]. That helps avoid confusion.

Step-by-step explanation: 7 is equal to 35/5 because 7×5=35

Add 1/5 and you end up with 36/5. A Common rational number.

7^(1/5) = the 5th root of 7. A very small irrational number!

Answer:D 3,215.36 square feet. 1.9m. 2)

Step-by-step explanation:

Answer:

perimeter = 54.08

Step-by-step explanation:

We are told that the area of a square kitchen is 182.25 m². We are then asked to calculate the perimeter of the kitchen.

The perimeter of a shape is simply the sum of the length of its sides. Therefore, in order to calculate the perimeter of the kitchen, we need to know the length of its sides.

Given that we know the area of the square kitchen, we can use the formula:

\(\boxed{\mathrm{Area = side^2}}\),

and rearrange it to make the side the subject:

Area = side²

⇒ \(182.25 = \mathrm{side^2}\)

⇒ \(\sqrt{182.85} = \mathrm{\sqrt{side^2}}\)         (taking the square root of each side)

⇒ \(13.52 = \mathrm{side}\)

⇒  side = 13.52 m

Therefore, the length of each side of the square kitchen is 13.52 m.

A square has 4 sides; therefore the perimeter of the kitchen can be calculated as follows:

perimeter = \(4 \times 13.52\)

                 = \(\bf 54.08 \ m\)

Therefore, the perimeter of the square kitchen is 54.08 m.

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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You have the following function:

In order to determine the intervals, it is necessary to calculate the first derivative of the function, equal it to zero, and identify the zeros of the equation, just as follow:

the zeros of the previous equation are:

Next, it is necessry if the previous values are minima or maxima. Evaluate the second derivative for the previous values of x. If the result is greater than 0, then, it is a minimum. If the result is lower than zero, it is a maximum:

Then, for x=0 there is a maximum, and for x=-√3 and x=√3 there is a minimum.

Hence, until x = -√3 the function decreases. In between x=-√3 and x=0 the function increases. In between x=0 and x=√3 the function decreases and from x=√3 the function increases.

Furthermore, it is necessary to find the inflection points. Equal the second derivative to zero and solve for x:

then for x=1 and x=-1 there are inflection points.

The interval where the function is concave up is:

(-∞ , -1) U (1, ∞)

The interval where the function is concave down is:

(-1,1)

We can write the volume of the water in the water tank is 9/10 cubic meters.

The volume of a cuboid is given by -

V = Length x Width x Height

V = L x W x H

Given is that a water tank in the shape of a cuboid has length 1.5 meter's and width 1 meter. The water in the tank is 60 centimeters deep.

We can write the volume of the water tank as -

V = Length x Width x Height

V = L x W x H

V = 1.5 x 1 x (60/100)

V = 1.5 x 3/5

V = 3/2 x 3/5

V = 9/10 cubic meters

Therefore, we can write the volume of the water in the water tank is 9/10 cubic meters.

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The surcharge weight should be set at 12.25 lb, since 99% of all packages are at least 1.0 lb under this weight.

In this problem, we are given that the weight distribution of packages sent in a certain manner is normal, with a mean value of 12 lb and a standard deviation of 3.5 lb. The standard deviation is a measure of how much the data varies from the mean.

Now, the package service wishes to establish a weight value c, beyond which there will be a surcharge. We want to find the value of c such that 99% of all packages are at least 1.0 lb under the surcharge weight. This means that we are looking for a weight value that is exceeded by only 1% of all packages.

To find this weight value, we can use the properties of the normal distribution. We know that the area under the normal curve represents the probability of an event occurring. In this case, we want to find the weight value c that corresponds to the 1% probability.

To do this, we first need to standardize our normal distribution by converting it to the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We can do this by subtracting the mean (12 lb) from our target weight value c, and then dividing by the standard deviation (3.5 lb). This gives us a z-score, which represents the number of standard deviations away from the mean our target weight value is.

Next, we can use a standard normal distribution table or calculator to find the z-score that corresponds to the 1% probability. This is approximately -2.33.

Finally, we can solve for c by reversing the standardization process. We multiply the z-score (-2.33) by the standard deviation (3.5 lb) and add the mean (12 lb) to get our target weight value c.

Therefore, c = -2.33 x 3.5 + 12 ≈ 0.25 lb.

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The perimeter of a figure is the distance along the edges of the figure

then,

Using the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power, it can be seens that that the two expressions are equal to each other.

The properties of multiplication state that when multiplying two expressions with the same base, we can add their exponents together. This means that 3 to the fifth power x 3 to the third power is equal to 3 to the eighth power.

In mathematical notation, this looks like:

3^8 = 3^5 x 3^3

Using the properties of multiplication, we can add the exponents together:

3^8 = 3^(5+3)

Simplifying the exponent:

3^8 = 3^8

This shows that the two expressions are equal to each other. Therefore, we can conclude that 3 to the eighth power and 3 to the fifth power x 3 to the third power are the same value.

Note: The question is incomplete. The complete question probably is: Use the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power.

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When testing the differences between means, the research hypothesis suggests that population means are not equal.  (Option B)

Hypothesis refers to a concept or explanation for a trend that is based on known facts but has not yet been proved. A research hypothesis, also known as scientific hypothesis, is a statement about the expected result of a study. It is the proposed answer to the research question and generally includes an explanation (e.g., x affect y because …). It introduces a research question and proposes an expected result. It illustrates the relationship between two variables - an independent and dependent variable. Hence, when testing the difference between means, the hypothesis that suggests that population means are not equal is a research hypothesis.

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Answer:

1.06 = 19.08

x = $5.75

The cost of the cat food is $5.75.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3- -1)/ ( 4 - -2)

   = ( 3+1)/ ( 4+2)

   = 4/6

   = 2/3

\(\huge\text{Hey there!}\)

\(\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}\)

\(\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}\)

\(\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

x = \(\frac{1+4y^2}{y^2-1}\)

Step-by-step explanation:

Given

y = \(\sqrt{\frac{x+1}{x-4} }\) ( square both sides to clear the radical )

y² = \(\frac{x+1}{x-4}\) ( multiply both sides by (x - 4) )

y²(x - 4) = x + 1 ← distribute parenthesis on left side )

xy² - 4y² = x + 1 ( add 4y² to both sides )

xy² = x + 1 + 4y² ( subtract x from both sides )

xy² - x = 1 + 4y² ( factor out x from each term on the left side )

x(y² - 1) = 1 + 4y² ← divide both sides by (y² - 1)

x = \(\frac{1+4y^2}{y^2-1}\)

Answer:

yes the number is divisible by 4 in which we get 171143 without any decimal but if we try to divide it by 8 then we get

85571.5 with decimal include

9514 1404 393

Answer:

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

  LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²

The total surface area adds the area of the base to that:

  A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

  A = 392.16π cm²

The correct answer is (a) event. An event is a subset of outcomes from the sample space. It represents a specific outcome or set of outcomes that we are interested in. Events can be simple, consisting of a single outcome, or they can be compound, consisting of multiple outcomes.

For example, consider rolling a fair six-sided die. The sample space is {1, 2, 3, 4, 5, 6}. Let's say we are interested in the event of rolling an even number. The event in this case would be {2, 4, 6}, which is a subset of the sample space.

Events can also be mutually exclusive, meaning they cannot occur at the same time, or they can be independent, meaning the occurrence of one event does not affect the probability of the other event occurring.

In summary, an event is a subset of outcomes from the sample space and represents a specific outcome or set of outcomes that we are interested in. It is an important concept in probability theory.

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The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

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.

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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The measure of the missing angle of the given quadrilateral, which is a trapezium, is 136°.

What is a trapezium?

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees. The following are the different kinds of quadrilaterals: trapezium, parallelogram, square, and rectangle. A polygon with only one set of parallel sides is called a trapezium. The parallel bases of a trapezium are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs. The height is the separation between the parallel sides.

The given quadrilateral is a trapezium.

The sum of all the interior angles of a trapezium is 360°.

Given angles are 123°,47°,54° and x.

Then the sum is:

123 + 47 + 54 + x = 360

224 + x = 360

x = 136°

Therefore the measure of the missing angle of the given quadrilateral, which is a trapezium, is 136°.

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A function is a set of ordered pairs in which each value of x corresponds to only one value of y. Hence, Only A represents a function. Thus, option B is the correct choice for this question.

A function is a mathematical relationship between two sets of values, called the domain and the range. In a function, each value in the domain corresponds to exactly one value in the range. This means that for every input value in the function, there is only one corresponding output value.

For example, the function f(x) = 2x + 3 describes a relationship where the output value is always twice the input value plus 3. In this function, the domain is the set of all possible input values (in this case, all real numbers), and the range is the set of all possible output values (also all real numbers).

Only A represents a function.  In set A, there is only one value of y for each value of x. In set B, there are multiple values of y for some values of x, so it is not a function.

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The correct option will be option C: Multiply/divide both sides by the same non-zero constant.

To solve the linear equation of one variable;

Step-1: we have to balance each side by simplifying the equation

Step-2: add/subtract constant term on both sides of the equation to separate variable and constant term on both sides

Step-3: divide the coefficient of the variables on both sides.

So according to the question,

the given equations are:

AAA: 3(x+2)=18

BBB: x+2=6

We have to find a way from equation AAA to Equation BBB

from the above equation, it is clear BBB is factor AAA.

to get BBB from equation AAA, we have to just divide 3 on both sides of the equation AAA.

Therefore option C, will be correct as 3 is a non-zero constant. we have to divide both sides by this same non-zero constant.

Therefore The correct option will be option C:

Multiply/divide both sides by the same non-zero constant.

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Answer:

Step-by-step explanation:

The total surface area includes:

The area is:

Answer:

24.59 m/s

Step-by-step explanation:

Average speed(m/s) = distance travelled(m) / time taken(s)

Distance = 220 miles

220 miles = 354,056 meters

Time taken = 4 hours

4 hours = 14,400 seconds

Average speed = distance travelled / time taken

= 354,056 / 14,400

= 24.59 meter/seconds

= 24.59 m/s

To determine the unit rate of pages, that is, the number of pages Leo reads in one hour you can use cross multiplication

1/3h _____14 pages

1h______x pages

Leo reads 42pages/hour

The value of x, which we get by using an exponent rule is x = 2.80259.

What is an exponent rule?

Exponent is defined as the method of expressing large numbers in terms of powers. That is, exponent refers to how many times a number is multiplied by itself. For example, 6 is multiplied by itself four times, resulting in 6 6 6 6. This can be written as 64. In this case, 4 is the exponent and 6 is the base.

We have,

               \(\frac{2}{3} ^{x} . \frac{3}{2} ^{2x} = \frac{81}{16}\)

By applying the exponent rule:

              \(\left(-1\cdot \:x+2x\right)\ln \left(\frac{3}{2}\right)=\ln \left(\frac{81}{26}\right)\)

By simplifying the equation:

               \(x=\frac{\ln \left(\frac{81}{26}\right)}{\ln \left(\frac{3}{2}\right)}\)

               x = 2.80259

Hence, the value of x = 2.80259

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Step-by-step explanation:

I think you are missing the square root signs or so in the answer options.

the distance between 2 points is calculated by using Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse of the triangle and the distance between the points, which are the end points of the Hypotenuse.

a and b are the legs and enclose the 90 degree angle. they are the differences of the x and y coordinates between the 2 points.

so,

distance² = (1 - -7)² + (6 - 3)² = 8² + 3² = 64+9 = 73

=>

distance = sqrt(73)

To find the probability of passing the true/false examination when the number of questions is n, we need to use binomial distribution. We need to plug in the values and calculate the probability of passing for a specific number of questions n

Let X be the number of correct answers the student gets. Since the probability of getting a correct answer is 0.50, we have X ~ Bin(n, 0.50).

To pass the exam, the student must answer at least 70% of the questions correctly. This means that X must be greater than or equal to 0.70n. We can write this as:

P(X >= 0.70n) = 1 - P(X < 0.70n)

Using the binomial distribution formula, we can find the probability of getting less than 0.70n correct answers:

P(X < 0.70n) = ∑(i=0 to 0.70n-1) (n choose i) * 0.50^i * 0.50^(n-i)

We can use a calculator or software to evaluate this sum. For example, if n = 50, we get:

P(X < 0.70n) = P(X < 35) = 0.0738

Therefore, the probability of passing the exam when the number of questions is 50 is:

P(X >= 0.70n) = 1 - P(X < 0.70n) = 1 - 0.0738 = 0.9262

So, the student has a 92.62% chance of passing the exam if there are 50 true/false questions and he answers them by tossing a coin.

To find the probability of passing the true/false examination with a 70% correct answer requirement, we will use the binomial probability formula. The binomial probability formula is:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

Where:
- P(X = k) is the probability of getting k correct answers out of n questions
- C(n, k) is the number of combinations of n items taken k at a time
- p is the probability of getting a correct answer (0.50 in this case)
- n is the number of questions
- k is the number of correct answers

Since we need to find the probability of passing when the number of questions is not specified, let's assume there are n questions. To pass the exam, the student must answer at least 70% of the questions correctly. Therefore, k must be greater than or equal to 0.7n.

The probability of passing the exam can be calculated by summing up the probabilities of getting at least 70% correct answers:

P(passing) = sum(P(X = k)) for k = ceil(0.7n) to n

Where ceil() is the ceiling function that rounds up to the nearest integer.

Now we need to plug in the values and calculate the probability of passing for a specific number of questions n. Please provide the number of questions on the examination to get the exact probability of passing.

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Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation: