what is 4,3125 as a fraction in the simplest form????​

Answer:

B. 2.2 kilometers

Step-by-step explanation:

⭐What is the change in the cyclist's elevation?

Thus, we need to solve for the value of the height (x) of the hill.

Notice that the hill is in the shape of a right triangle. In order to find an unknown side length for right triangles, we need to use a trigonometric function.

⭐What is a trigonometric function?

First, let's see what kind of side lengths we are given (opposite, hypotenuse, or adjacent).

We are given a side length of 10km, which is the hypotenuse of the triangle, and we are given a side length of x, which is the opposite of θ (13°).

Therefore, we will use the trigonometric function sin(θ) to solve for x.

Substitute the side lengths and angle measures we are given:

\(sin(13) = \frac{x}{10}\)

Set the equation equal to x:

\(10sin(13) = x\)

Solve for x. I recommend using a scientific calculator (e.g. Desmos Scientific Calculator):

\(2.2 = x\)

∴ The cyclist's change in elevation is 2.2 kilometers.

The ratio of 512 to 32 is 16, and the ratio of 72 to 8 is 9. The new standard error is approximately 3. In 512 tosses, the number of heads that would be as likely as 16 +/- 6 heads in 32 tosses is 256 +/- 24. The missing value is 16, and the missing value is 25%. These values are found using the formulas for standard error and scaling of proportions.

For part (a), to compare 512 and 32, we need to find the ratio 512/32, which simplifies to 16. So, 512 is 16 times more than 32. For part (b), to compare 72 and 8, we need to find the ratio 72/8, which simplifies to 9. So, 72 is 9 times more than 8.

For the next part, we can use the formula for the standard error (SE) of a binomial distribution: SE = sqrt(p(1-p)/n), where p is the probability of success (getting a head) and n is the number of trials.

For 16 tosses, p = 0.5 and n = 32, so SE = sqrt(0.5*0.5/32) = 0.0884.

To find the equivalent SE for 512 tosses, we need to adjust for the increased number of trials by multiplying by the square root of the ratio of the number of trials:

New SE = SE * sqrt(512/32) = SE * sqrt(16) = 0.0884 * 4 = 0.3536.

So, 16 +/- 6 heads in 32 tosses is about as likely as 256 +/- 24 heads in 512 tosses, since 6 is 1 standard error for 32 tosses and 24 is 1 standard error for 512 tosses.

since 64/32=2 and 8*2=16. The answer to this is 16

we can use the formula SE = sqrt(pq/n), where p and q are the probabilities of success and failure respectively, and n is the sample size. Plugging in the values, we get SE = sqrt(0.5*0.5/2500) = 0.01. So the answer is 0.50 +/- 0.25 or 25%.

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--The given question is incomplete, the complete question is given

" a. Step 1: Compare n, the number of tosses in the two cases.

512 is ______ times more than 32?

a. Step 1: Compare n, the number of tosses in the two cases.

72 is ______ times more than 8?

Hint 1: Compare 16 and 64

Hint 2: Sum or percent? Do you multiply or divide? By what?

Hint 3: What is the new SE? That is what the question is asking for.

Tries 0/4

Hint 1: Compare 100 and 2500

Hint 2: Sum or percent? Do you multiply or divide? By what?

16 +/- 6 heads in 32 tosses is about as likely as 256 +/- _____ heads in 512 tosses.

16

Computer's answer now shown above. You are correct.

Your receipt no. is 164-6979Help: Receipt Previous Tries

b. Step 2: Since we are counting (summing), the error will be multiplied by how much?

Incorrect. Tries 2/4 Previous Tries

c. 8 +/- 4 heads in 16 tosses is about as likely as 32 +/- _____ heads in 64 tosses.

50% +/- 25 % heads in 100 tosses is about as likely as 50% +/- _____ % heads in 2500 tosses. (Round to 2 decimal places)"--

The value of the domains is given as:

In order to find the results of (fg)(x) and (f/g)(x), we must begin by multiplying and dividing the two functions, respectively:

(fg)(x) = f(x) * g(x) = \(3x * 3(x + 1)^2 = 9x(x + 1)^2\); its domain containing all real numbers.

Similarly, (f/g)(x) = f(x) / g(x) = in a domain that does not \(3x / 3(x + 1)^2 = x / (x + 1)^2\)include x = -1 (if g(x) ≠ 0).

Let us now evaluate  (fg)(5) and (f/g)(5):

(fg)(5) =\(9(5)(5 + 1)^2 = 9(5)*(6)^2\) = 9(5(36)) = 1620 while  

(f/g)(5) = \(5/(5 + 1)^2 = 5/(6)^2\) = 5/36.

Consequently, (fg)(5) equals 1620 and (f/g)(5) is equivalent to 5/36.

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Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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Answer:

4 pounds of mac 3 pounds of potato

Step-by-step explanation:

5+6=11+5+6=22+5+6=33+5=38

On solving the provided question,  of limit we have the following answer \(\lim_{x \to \3} 3 f(x) = \infty} \lim_{x \to \infty} f(x) =1 f(0) = 4/3 f(-5) = 0\)

A limit is a value to which an expression converges in mathematics when one or more variables get closer to a certain value. Analysis and analysis depend on boundaries. As x gets closer to 0, think about the expression's limit, 2x + 3.

Make y = f(x) a function of x. The values of the function that are extremely near to a can be taken into consideration if at some time x = a f(x) adopts an indeterminate form. The bound of f(x) at x = an is stated to be the unique number that results if these values tend to be some unique number when x tends to a.

\(\lim_{x \to \3} 3 f(x) = -\infty} \lim_{x \to \infty} f(x) =1\\ \lim_{x \to \3} 3 f(x) = \infty} \lim_{x \to \infty} f(x) =1\\f(0) = 4/3 f(-5) = 0\)

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Where the above is given, the answer is  30 cm. (Option A) Circles CD and AB both intersect creating a right angle which has been indicated with purple.

According to the given information, the radius is 17 so the line in red connecting point A and point C is 17 as that's a radius.

Because the lines form a right triangle, you can use Pythagorean theorem to solve for the missing length.

So if CD is 16, half of that is 8.

17² -8² = 225.

Find the square root which gives you 15.

15 is only half the length of AB so you'd have to basically repeat to the other side so just multiply 15 by 2

this gives A. 30 cm.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Circle A and circle B are congruent. CD is a chord of both circles. If CD = 16 cm and the radius is 17 cm, how long is AB?

A. 30 cm

B. 15 cm

C. 23 cm

D. 12 cm

See attached image.

Answer:

448in^2

Step-by-step explanation:

The area of a trapezoid is the bases added divided by two times the height.

(32+24)/2*16=28*16=448 in^2

First, we calculate h(9) which is equal to 3. Then, we substitute the result into g(x) as g(3) which gives us -2. Finally, we substitute -2 into f(x) as f(-2) resulting in 100.

To find f∘g∘h(9), we need to evaluate the composition of the functions f, g, and h at the input value of 9.

First, we apply the function h to 9:

h(9) = √9 = 3

Next, we apply the function g to the result of h(9):

g(h(9)) = g(3) = 3 - 5 = -2

Finally, we apply the function f to the result of g(h(9)):

f(g(h(9))) = f(-2) = (-2)\(^2\) + 6 = 4 + 6 = 10

Therefore, f∘g∘h(9) equals 10.

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Answer:

\(\frac{1}{5}\)

Step-by-step explanation:\(d=-1\frac{1}{5}-(-2) =-1\frac{1}{5}+2=\frac{1}{5}\)

There are 3060 ways to place 20 identical apples into 6 distinguishable boxes.

Here we have been given that there are 20 apples that are identical in nature but distinguishable boxes.

Now we see that there have to be at least 2 apples in every box.

Now the formula for combination things states that when n number of similar objects need to be placed in x  distinguishable things where at least a number of things must be placed is

ⁿ ⁻ ᵃCₓ ₋ ₐ

here n = 20

x = 6

a = 2

Hence we get

²⁰ ⁻ ²C₆ ₋ ₂

= ¹⁸C₄

= 18! / (14! X 4!)

= (18 X 17 X 16 X 15)/4 X 3 X 2

= 3 X 17 X 4 X 15

= 3060 ways

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Option B, In this situation, when the concentration of extracellular glucose is lower than the concentration currently present in cells, active transport is required.

Active transport, as opposed to simple diffusion or assisted diffusion, uses energy (in the form of ATP) to move molecules up or down a concentration gradient, from a region of low concentration to one of high concentration.

To transfer glucose molecules into the stomach lining cells in spite of the concentration gradient, active transport would be required. This procedure is crucial for preserving the body's glucose homeostasis and guaranteeing that cells have enough glucose for cellular energy generation.

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For a second-order homogeneous linear differential equation with constant coefficients, the general solution can be written in terms of the roots of the characteristic equation.

b. When the root of the characteristic equation is r = 3 with multiplicity 2, the general solution to the differential equation can be written as y(t) = (c1 + c2t)e^(3t), where c1 and c2 are arbitrary constants.

c. When the roots of the characteristic equation are r = √2 ± 3i, the general solution can be expressed as y(t) = e^(√2t)(c1cos(3t) + c2sin(3t)), where c1 and c2 are arbitrary constants.

In both cases, the general solution is a linear combination of terms involving exponentials and trigonometric functions, with coefficients determined by the arbitrary constants c1 and c2.

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Answer:

x = -4, y = 1/3

Step-by-step explanation:

=> x = 3y-5        (Equation 1)

=> 2x+12y = -4  (Equation 2)

Putting (1) in (2)

=> 2(3y-5)+12y = -4

=> 6y-10+12y = -4

=> 18y = -4+10

=> 18y = 6

Dividing both sides by 18

=> y = 6/18

=> y = 1/3

Putting y = 1/3 in Equation 1

=> x = 3(1/3)-5

=> x = 1-5

=> x = -4

The missing angle measures for the similar triangles are given as follows:

Similar triangles share these two features listed as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle C is obtained as follows:

m < C + 22 + 75 = 180

m < C = 180 - 97

m < C = 83º.

The equivalent vertices on the similar triangles share the same angle measures, hence:

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Answer:

(x-3)^2 = 3

Step-by-step explanation:

From the given data

a) Then the number of squares wide does the grid need to be so that the data fits on the graph is 7 blocks

b) If the grid is 20 squares tall, then the variable A can be replaced by 0.09 km

In the graph,

The x axis represents the Time since start in minutes and the y axis represents the distance from the start in kilometers.

In x axis each block represents 5 minutes

The maximum value of time taken in table = 35 minutes

Then the number of squares wide does the grid need to be so that the data fits on the graph = 35 / 5

= 7 blocks

Part b

If the grid is 20 squares tall

The maximum value of distance = 1.8 km

Then the value of A will be

1.8 / 20 = 0.09 km

Hence, from the given data

a) Then the number of squares wide does the grid need to be so that the data fits on the graph is 7 blocks

b) If the grid is 20 squares tall, then the variable A can be replaced by 0.09 km

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Answer:

Step-by-step explanation:

a:

21 49 70

46 34 80

67 83 150

b: 34+49=83

c:

total no. of students = 150

no of boys who disapproved = 46

probability = 150/46 = 75/23

hope that helps!

Answer: Check attached image

Step-by-step explanation:

The biggest thing to remember for this question:

If a negative exponent is in the denominator, move the expression to the numerator and make the exponent positive

Answer:

Brainleist!

Step-by-step explanation:

This is the equation I'm solveingg \(3^{2(107)}\)

if so...

here

3^214

or

1.2704234747596538696295415610762e+102

Answer:

18/999

Step-by-step explanation:

Answer:

2/111 = 18/999

Answer:

20

Step-by-step explanation:

20 + (75% × 20) =

20 + 75% × 20 =

(1 + 75%) × 20 =

(100% + 75%) × 20 =

175% × 20 =

175 ÷ 100 × 20 =

175 × 20 ÷ 100 =

3,500 ÷ 100 =

35;

When the distance between the objects is 5.5 meters, the force (F) is approximately 0.0827 Newtons (rounded to 2 decimal places).

According to the given information, the force (F) between two objects is inversely proportional to the square of the distance (d) between them. Mathematically, this can be represented as \(F = k/d^2,\)

where k is the constant of proportionality.

To find the value of k, we can use the given data point where the force is 0.07 Newtons when the distance is 6 meters. Plugging these values into the equation, we get:

\(0.07 = k/6^2\)

Simplifying, we have:

0.07 = k/36

To solve for k, we can multiply both sides of the equation by 36:

\(k = 0.07 \times 36\)

k = 2.52

Now that we have the value of k, we can calculate the force (F) when the distance (d) is 5.5 meters:

\(F = 2.52 / 5.5^2\)

F ≈ 0.0827

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The determinant of the given matrix a is: det(a) = b2c2 + a2c2 + a2b2 - 2a2b2 - 2a2c2 + 2abc.

The determinant of a 3x3 matrix can be found using the formula:

det(A) = a11(a22a33 - a32a23) - a12(a21a33 - a31a23) + a13(a21a32 - a31a22)

Substituting the given matrix values, we get:

det(a) = 1(b2c2 - c(b2) + a2(c2) - c(a2) + a(b2) - a(b2)) - a(1c2 - c1 + a2c - c(a2) + a - a(a2)) + a(1b2 - b1 + a(b2) - b(a2) + a - a(b2))

Simplifying this expression, we get:

det(a) = b2c2 + a2c2 + a2b2 - a2b2 - b2c - a2c - a2b + a2c + abc - abc - a2c + ac2 + ab2 - ab2 - abc

Simplifying further, we get:

det(a) = b2c2 + a2c2 + a2b2 - 2a2b2 - 2a2c2 + 2abc

Thus, the determinant of the given matrix a is:

det(a) = b2c2 + a2c2 + a2b2 - 2a2b2 - 2a2c2 + 2abc.

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Answer:

\(c=\frac{ab-d}{a}\)

Step-by-step explanation:

So we are given the equation:

a(b - c) = d

and we are asked to solve for c. To solve for c, we much get the c by itself on one side of the equation and all of the non-c components on the other side.

a(b - c) = d

Distribute the a on the left side of the equation.

ab - ac = d

Subtract ab from both sides of the equation.

-ac = d - ab

Divide both sides of the equation by -a.

\(c=\frac{ab-d}{a}\)

And now we have solved for c.

I hope you find my answer and explanation to be helpful. Happy studying.

Each serving would be approximately 241 grams.

To determine how much each serving is, we need to divide the total amount of food by the number of people.

The total amount of food Tara is making consists of 1 1/4 kilograms of rice, which is equal to 1250 grams, 500 grams of vegetables, and 419 grams of meat. Therefore, the total amount of food is 1250 + 500 + 419 = 2169 grams.

To find the amount per serving, we divide the total amount of food by the number of people. Since there are 9 people, each serving would be 2169 grams divided by 9, which is approximately 241 grams per serving.

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A monomial is an algebraic expression that consists of only one term. Examples of monomials include 4x², a + 6, and a + b + c + d.

In the given example, (a) 4x² is a monomial because it consists of only one term, 4x². (b) a + 6 is also a monomial because it consists of only one term, a + 6. (c) a + 6 + c is not a monomial because it consists of more than one term, namely a + 6 and c. (d) a + b + c + d is also not a monomial because it consists of more than one term, namely a, b, c, and d.

To calculate the value of a monomial, we must first determine its degree. The degree of a monomial is the sum of the exponents of its variables. For example, the degree of 4x² is 2 because it consists of only one variable, x, with an exponent of 2.

Once the degree of a monomial is determined, its value can be calculated by substituting the values of its variables. For example, if x = 3, then 4x² = 4(3)² = 36.

In summary, a monomial is an algebraic expression that consists of only one term. Its degree is the sum of the exponents of its variables. To calculate its value, substitute the values of its variables into the expression.

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Answer:

2:1

Step-by-step explanation:

We know

To get from F to G, we have to go from -2 to 2, for which the length is 4.

To get from F' to G', we have to go from -2 to 0, for which the length is 2.

What is the ratio of the sides from the big to the small rectangle?

The ratio is 4:2 = 2:1