The circumference of ©Cis 72 cm. What is the length of AB (the minor arc)?
• A. 90 cm
О в. 9 cm
• C. 10 cm
• D. 8 cm
• E. 45 cm
• F. 7.2 cm

The function f(x) = x^3 - x is not one-to-one (n).

To determine if the function f(x) = x^3 - x is one-to-one, we can analyze its graph.

By plotting the graph of f(x), we can visually inspect if there are any horizontal lines that intersect the graph at more than one point. If we find any such intersections, it indicates that the function is not one-to-one.

Here is the graph of f(x) = x^3 - x:

markdown

Copy code

     |

 3 -|         x

     |       x

 2 -|      x

     |    x

 1 -|  x

     | x

 0 -|__________

    -2 -1  0  1  2

From the graph, we can observe that there are multiple values of x that correspond to the same y-value. For example, both x = -1 and x = 1 produce a y-value of 0. This means that there exist distinct values of x that map to the same y-value, which violates the definition of a one-to-one function.

Therefore, the function f(x) = x^3 - x is not one-to-one.

In conclusion, the function f(x) = x^3 - x is not one-to-one (n).

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Answer: This is the formula to find the volume of a triangular prism. V=1/4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

The new coordinates of M are (x-2, y-1).

To find the new coordinates of point M after the translation, we need to subtract the translation vector (-2, -1) from the original coordinates of point M.

If the original coordinates of M are (x,y), the new coordinates of M, which we'll call (x',y'), can be found using the following formula:

x' = x - 2

y' = y - 1

So, if we know the original coordinates of M, we can simply subtract 2 from the x-coordinate and 1 from the y-coordinate to get the new coordinates after the translation. If the original coordinates of M are not given, we cannot determine the new coordinates.

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Answer:

D, 20

Step-by-step explanation:

Put this in a calculator.

Or you can try to work it out yourself.

Have the equation written out.

5/1 / 1/4

Then divide

Hope this helps!

Answer:

20.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius of the circle

From the question

r = 58 cm

The area of the circle is

A = 58²π

= 3364π

= 10568.3176866761...

We have the final answer as

Hope this helps you

Here we are given with the radius of a circle and we have to find the area using formula.

✤ Formula for finding area of a circle:

\( \large{ \boxed{ \sf{\red{Area \: of \: \circ = \pi {r}^{2} }}}}\)

Where r is the radius of the circle. So let's plug in the values for finding the area of the circle:

➝ Area = π(58 cm)²

➝ Area = 3.14 × 58 cm × 58 cm

➝ Area = 10562.96 cm²

Now let's round off upto 3 significant figures: 10600 cm² (Answer)

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False. In a chi-square goodness-of-fit test, the test statistic is calculated based on the discrepancies between the observed frequencies and the expected frequencies. The test statistic measures the degree of deviation between the observed and expected frequencies.

Therefore, the larger the value of the test statistic, the greater the discrepancy between the observed and expected frequencies, indicating poorer fit between the observed and expected data.

In other words, a larger test statistic suggests a greater departure from the expected frequencies and indicates poorer fit between the observed and expected data. On the other hand, a smaller test statistic suggests a closer match between the observed and expected frequencies, indicating a better fit.

Therefore, the statement should be reversed: The more closely the observed frequencies match the expected frequencies, the smaller the value of the test statistic.

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Answer: 57m

Step-by-step explanation: Speed is 3m/s

Time is 19seconds

distance =speed × time

Distance = 19 × 3

Answer:

57 m.

Step-by-step explanation:

In 1 second it can run 3 m

So in 19 s it can run 3*19

= 57 m.

Using the properties of parallelograms and the given information, we proved that BAEC is equal to FABC. We utilized angle-angle similarity and the proportional relationships of corresponding sides in similar triangles to establish the equality.

To prove that BAEC = FABC, we will use the properties of parallelograms and the given information.

Given:

ABCD is a parallelogram.

BE is parallel to CD.

BF is parallel to AD.

To prove:

BAEC = FABC

Proof:

Since ABCD is a parallelogram, we know that opposite sides are parallel and equal in length. Let's denote the length of AB as a, BC as b, AD as c, and CD as d.

Since BE is parallel to CD and AD is parallel to BF, we have angle ABE = angle CDF and angle ADB = angle BFD.

By alternate interior angles, angle CDF = angle FAB.

Now, we have two pairs of congruent angles: angle ABE = angle CDF and angle ADB = angle BFD.

Using angle-angle similarity, we can conclude that triangle ABE is similar to triangle CDF and triangle ADB is similar to triangle BFD.

As the corresponding sides of similar triangles are proportional, we have the following ratios:

AB/CD = AE/CF (from triangle ABE and triangle CDF similarity)

AD/BC = BD/CF (from triangle ADB and triangle BFD similarity)

Cross-multiplying the ratios, we get:

AB * CF = CD * AE (equation 1)

AD * CF = BC * BD (equation 2)

Adding equation 1 and equation 2, we have:

AB * CF + AD * CF = CD * AE + BC * BD

Factoring out CF, we get:

CF * (AB + AD) = CD * AE + BC * BD

Since AB + AD = CD (opposite sides of a parallelogram are equal), we have:

CF * CD = CD * AE + BC * BD

Simplifying, we get:

CF = AE + BC

Therefore, we have shown that BAEC = FABC.

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Answer:

\(r=-7\)

Step-by-step explanation:

\(4r+12=-16\)

Subtract 12 from both sides.

\(4r=-28\)

Divide both sides by 4.

\(r=-7\)

Check our work with substitution:

\(4\cdot-7+12=-28+12=\boxed{-16}\)

We see that our work is correct.

Subtract 12 from both sides.

Subtract 12 from −16 to get −28.

Divide both sides by 4.

Divide −28 by 4 to get −7.

Answer:

hello

Step-by-step explanation:

i think diameter is 13 cm

but radius is equal to 13/2=6,5cm

hope it helps

have a nice day

bye

Answer: 24 square inches

Step-by-step explanation:

To get the whole area Multiply length x width

12 x 7 = 84

Now we get the area of the space in the rectangle

6 x 5 = 30 and multiply that by 2 since there are 2 spaces

in the rectangle.

30 x 2 = 60

84 - 60 = 24

Answer:

a

Step-by-step explanation:

i took this and got a 100

Answer:

y = 9x

Step-by-step explanation:

other person is so wrong, hope this helps.

Answer:

Both are true

As per the statement the function which is best suited for this calculation is averageif.

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Answer:

B

Step-by-step explanation:

The second graph is the correct choice because the y-intercept is two, the graph is negative, and has a slope of m=3/1.

The notation a ≤ b denotes a value that is less than or equal to b (or, equivalently, at most b, or not larger than b), while the notation a ≥ b denotes a value that is greater than or equal to b (or, equivalently, at least b, or not less than b).

An inequality in mathematics is a relationship that compares two numbers or other mathematical expressions in an unequal way.  By comparing the sizes of two numbers on the number line, it is most frequently utilized. Different types of inequalities are represented by a variety of different notations, including:

The symbol a b indicates that an is less than b.

A bigger value for a than a lesser value for b is indicated by the notation a > b.

A is not equal to b in either situation. These relationships are referred to as stringent inequalities, which means that an is strictly less than or strictly bigger than b. Equivalence is not included.

There are two kinds of inequality relations that are not strict, in contrast to strict inequalities:

When something is written with an an or b, it signifies that.

A is smaller than or equal to b when a notation like a ≤ b is used (or, equivalently, at most b, or not greater than b).

A greater or equal value for a indicates that b is greater than it (or, equivalently, at least b, or not less than b).

The symbol for "greater than" that is divided in half by a slash, "not," can also be used to express the connection not greater than. The same applies to and not less than and a b.

Hence, The notation a ≤ b denotes a value that is less than or equal to b (or, equivalently, at most b, or not larger than b), while the notation a ≥ b denotes a value that is greater than or equal to b (or, equivalently, at least b, or not less than b).

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It signifies that the supplied variable or number must have a value that is larger than or equal to the specified limit. It is the opposite of less than or equal to.

The phrase "more than or equal to" denotes that the variable is either greater than or equal to a specific value. When a quantity is bigger than another, the phrase "more than" is used to indicate this. Two quantities are said to be equal when the phrase "is equal to" is used. It is possible for the quantity or amount value limit to be equal to or larger than the stated limit when these phrases are combined to form the new term Greater Than Or Equal To.

The phrase "less than or equal to" denotes that a variable is either less than or equal to another quantity, number, or variable. Other ways to say "less than or equal to" include at most, no more than, a maximum of, and not surpassing.

Inequalities like less than or equal to and greater than or equal to are represented in a different way on a number line. To denote these, we use the closed circle to mark the limit value and point the arrow towards the given condition of inequality.

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let x be the temperature. we get that:

The correct statement about phospholipids is c. Phospholipids are composed of a glycerol molecule with two fatty acid molecules and 1 phosphate molecule.

Phospholipids are a type of lipid molecule that make up the cell membrane. They consist of a glycerol molecule, which acts as the backbone, with two fatty acid molecules attached to it through ester bonds. In addition to the fatty acid molecules, phospholipids also have a phosphate group attached to the glycerol backbone.
The phosphate group is hydrophilic, meaning it is attracted to water, while the fatty acid chains are hydrophobic, meaning they repel water. This property of phospholipids allows them to form a bilayer in water, with the hydrophilic phosphate heads facing outward towards the water and the hydrophobic fatty acid tails facing inward, away from the water.
This unique structure of phospholipids is crucial for the formation and stability of cell membranes. It allows the cell membrane to act as a barrier, controlling the movement of substances in and out of the cell.

In summary, phospholipids are composed of a glycerol molecule with two fatty acid molecules and one phosphate molecule. The fatty acid chains make up the hydrophobic tails, while the phosphate group forms the hydrophilic head. This structure allows phospholipids to form the basis of cell membranes.

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The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.

Explanation

On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).

To find the probability, you can use the formula:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

In this case:

Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)

Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%

So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.

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Therefore , the solution of the given problem of function comes out to be even though the two functions' maximum numbers are different, their final behavior is the same.

On the midterm exam, there will be inquiries about design, mathematics, each topic, and both actual and hypothetical locations. a summary of the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input. Each post also has a particular location, that could be the enclave, an area, or even something completely different.

Here,

When x = 2, the maximum value of function f is 6, and

when x = -2, the highest value of function g is 3.

Both functions result in the same action in the end.

Both functions move closer to positive infinity as x gets closer to positive or negative infinity.

This is due to the positive quadratic component that dominates the behavior of the leading term in both functions as x increases in magnitude.

As a result, even though the two functions' maximum numbers are different, their final behavior is the same.

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Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

The given expressions are equivalent.

What is equivalent expression?

Expressions that function identically despite having different appearances are called equivalent expressions. If two algebraic expressions are equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).

Consider the given expressions,

-(-3m + 6 - 12 + 15m) and 2(1 - 2m)

First simplify the expression -(-3m + 6 - 12 + 15m)

= 3m - 6 + 12 - 15m

= -12m + 6

Divide the expression by 3,

= -4m + 2

= 2 + 4m            ..(1)

Now, consider the expression,  2(1 - 2m)

Simplifying this,

2(1 - 2m) = 2 - 4m         ..(2)

From (1) and (2) we can see that the expressions are equivalent.

Hence, the given expressions are equivalent.

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The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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Step-by-step explanation:

please mark me as brainlest

1. ratio of ears to paws to tail, therefore:

ratio is 2: 4: 1

2. sentence:

there 4 paws per very tail

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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Answer:

C

Step-by-step explanation:

Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1  and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5

Answer:

C

Step-by-step explanation:

　　＿＿＿　 AA

*～/■　■　⊂ P

　 |　■　■.（＿）

　 U U￣￣U U

Answer:

{-3, 3}

Step-by-step explanation:

x^2 - 9 = 0 can be written in factored form as (x -3)(x + 3) = 0.  Letting each factor equal zero separately and solving for x, we get x:  {-3, 3}