What is the degree of 5x cubed plus 3X squared minus 4X plus one

Answer:

point A

Step-by-step explanation:

because by using formula of m1/m2 =x --x1/x2--x1

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

LHS

tan θ * cot θ

= sin θ / cos θ * cos θ / sinθ

= 1

RHS

sec θ * cos θ

= 1/cos θ * cos θ

= 1

Therefore LHS = RHS proved.

Step-by-step explanation:

Since m∠SRT = 20

Therefore, m∠STR = 20

now

m∠STR +m∠STU = 180 ------------(linear pair angles)

I.e.

20 +4x = 180

i.e. 4x = 180-20

i.e. 4x = 160

i.e. x = 160/4

i.e. x = 40

Thus the value of x is 40 degrees.

I've seen so much ppl asking for this answer, Your welcome

Answer:

the answer is 180

I think

The correct answer is:

Function f is translated to the right 7 units.

Function f is translated down 4 units

The measure of each angles are one is 28 and other is 68.

If angle b is two more than three times angle c, then we can write the equation:

b = 3c + 2

Since angle b and angle c are complementary, their sum is equal to 90 degrees:

b + c = 90

We can substitute the value of b from the first equation into the second equation:

3c + 2 + c = 90

4c + 2 = 90

4c = 88

c = 22

So, angle c is 22 degrees and angle b is equal to 3c + 2 = 3 * 22 + 2 = 68 degrees.

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Answer:

Step-by-step explanation:

So you have to get 2/3 of 128 grams which is about 85 grams. It says she has to mix 64 grams so she went over.

Hope this helps :)

Answer:

2,350,000

Step-by-step explanation:

542~500

4681~4700

500×4700

=2,350,00

Answer:

542 rounded to the nearest hundred would be 500

542 rounded to the nearest thousand would be 1000

4,681 rounded to the nearest hundred would be 4,700

4,681 rounded to the nearest thousand would be 5000

the estamated product would be 14550000

Let 185lb equate to 100%

20lb of fat will be ?

= 10.81%

Dave has 10.81% of body fat and it falls at the athlete category.

Answer:

OR

Step-by-step explanation:

Think of it in ABCD terms:

If ABCD is congruent to EFGH, then AB is congruent to EF, BC to FG, and so on so forth.

In this one:

BCDE is congruent to OPOR

DE is the last two letters in the line, so the line it is congruent to would be the last two letters of OPOR which is OR

So, DE is congruent to OR

The monthly payment on a 30-year, $205,000 loan with a 5.0% interest rate would be $1,073.51, with $926.23 of that being interest.

To calculate the monthly payment on a 30-year, $205,000 loan with a 5.0% interest rate, you first need to calculate the monthly interest rate. This can be done by dividing the annual interest rate (5.0%) by 12: 5.0% / 12 = 0.416%.

Next, you need to calculate the monthly payment by using this formula: Monthly Payment = \(Loan Amount x [Interest Rate / (1 – (1 + Interest Rate)^-N)]\)

In this example, the loan amount is $205,000, the interest rate is 0.416%, and N is 360 (the number of payments over 30 years). Plugging this into the formula gives us:

\(Monthly Payment = $205,000 x [0.416% / (1 – (1 + 0.416%)^-360)]]\)]

This gives a monthly payment of $1,073.51. To calculate the interest portion of the payment, multiply the loan amount by the monthly interest rate (0.416%): $205,000 x 0.416% = $926.23. Thus, the interest portion of the monthly payment is $926.23.

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Answer:

Distance between foot of ladder and wall = 5.92 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 15.2 meter

Length of wall = 14 meter

Find:

Distance between foot of ladder and wall

Computation:

Length of ladder = Hypotenuse

Length of wall = Perpendicular

Distance between foot of ladder and wall = Base

Using Pythagoras theorem;

Base = √Hypotenuse² - Perpendicular²

Distance between foot of ladder and wall = √Length of ladder² - Length of wall²

Distance between foot of ladder and wall = √15.2² - 14²

Distance between foot of ladder and wall = √231.04 - 196

Distance between foot of ladder and wall = √35.04

Distance between foot of ladder and wall = 5.9194

Distance between foot of ladder and wall = 5.92 meter (Approx.)

Answer:

1

Step-by-step explanation:

12- 8x = 4x -12

-12              -12

-8x=4x -24

-4x   -4x

-12x=-12

___  ___

-12    -12

x=1

The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in

(4 choose 3) = 4 ways.

The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in

(6 choose 3) = 20 ways.

Therefore, the probability that there will be no graduate students on the subcommittee is:

Number of subcommittees with only undergraduate students / Total number of possible subcommittees

= 4 / 20

= 1/5

= 0.2

So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

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Answer:

asdfasdf

Step-by-step explanation:

Answer:

$1680

Step-by-step explanation:

1500=100%

100+12(interest)=112

112=1.12(multiplier)

1500×1.12=$1680

1. Radians:
- Radians are the natural unit for angles in calculus because they directly relate to the concept of the unit circle.
- When working with calculus problems involving trigonometric functions, such as sine, cosine, and tangent, it is often more convenient to use radians.
- This is because the derivatives and integrals of trigonometric functions are simpler when the angles are measured in radians.
- For example, when finding the derivative of sin(x), if x is in radians, the derivative is simply cos(x).
- So, if your calculus problem involves trigonometric functions or angles related to the unit circle, it is recommended to use radians on your calculator.

2. Degrees:
- Degrees are commonly used in everyday life, such as measuring angles in geometry or physics problems.
- If your calculus problem involves angles given in degrees or if you're more comfortable working with degrees, you can set your calculator to degrees.
- However, keep in mind that when using degrees, you may need to convert between degrees and radians in some calculus formulas.
- For example, when finding the derivative of sin(x) in degrees, you would need to convert the angle x from degrees to radians and then find the derivative.
- So, if your calculus problem primarily involves angles given in degrees or if you find degrees more intuitive, you can use degrees on your calculator, but be prepared to convert to radians when needed.

In summary, for most calculus problems, setting your calculator to radians is recommended, as it aligns with the natural unit for angles in calculus and simplifies calculations involving trigonometric functions. However, if your problem specifically involves angles given in degrees or if you prefer working with degrees, you can use degrees on your calculator, but be mindful of potential conversions.

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Answer:

f(1/4) = 1/12

Step-by-step explanation:

f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.

It is the same as having

y = 4x^2 - 2/3 x

For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.

If you were given

y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?

You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.

Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?

Let's calculate it:

f(x) = 4x^2 - 2/3 x

To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.

f(1/4) = 4(1/4)^2 - (2/3)(1/4)

f(1/4) = 4(1/16) - 2/12

f(1/4) = 4/16 - 2/12

f(1/4) = 1/4 - 2/12

f(1/4) = 3/12 - 2/12

f(1/4) = 1/12

4. We start with the base case of \(5^0 = 1\) and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. if a divides \(b\) and \(b\) divides \(a\), either a equals \(b\) or \(a\) equals negative \(b\).

4. The recursive definition of the set of positive integer powers of 5 can be expressed as follows:

Base case: \(5^0 = 1\) is in the set.

Recursive step: If n is in the set, then \(5^(n+1)\) is also in the set.

Using this definition, we start with the base case of \(5^0 = 1\)and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. To prove that if a divides \(b\) and \(b\)divides \(a\), then a equals \(b\) or \(a\) equals negative \(b\), we can use the definition of divisibility.

Assume that \(a\) divides \(b\), denoted as \(a | b\) , and \(b\) divides \(a\), denoted as \(b | a.\)

By definition, if a divides b, there exists an integer k such that b = ak.

Similarly, if \(b\) divides \(a\), there exists an integer m such that \(a = bm.\)

Substituting the expression for\(b\) in terms of \(a\), we have \(bm = ak.\)

Dividing both sides by b (since b is nonzero), we get m = a/b.

Since \(m\) is an integer, \(a/b\) must be an integer, which means \(a\) is divisible by \(b\).

If \(a/b\)  is an integer, it implies that \(b/a\)is also an integer, which means \(b\) is divisible by \(a\).

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), it follows that \(a/b\) and \(b/a\) are both integers.

If \(a/b = m\) and \(b/a = k\), then we have \(a = bm\) and\(b = ak.\)

\(If m = k = 1, then $a = b.\)

\(If m = k = -1, then a = -b.\)

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), either \(a\) equals \(b\) or \(a\) equals negative \(b\).

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To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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The value of the f(3) is -8 or f(3)=-8 if the equation of the function f(x) = -8(3)⁰ or f(x) = -8 option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

For the function, f(x) = -8

f(x) = -8

For all values of x:

The above function can be written as follows:

f(x) = -8x⁰

PLug x = 3 in the function:

f(x) = -8(3)⁰

f(x) = -8

Thus, the value of the f(3) is -8 or f(3)=-8 if the equation of the function f(x) = -8(3)⁰ or f(x) = -8 option (C) is correct.

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The area that the Diamond Head Crater in Hawaii covers in square meters is approximately 78,201 square meters.

The diameter of the Diamond Head Crater = 3,486 feet.
So, the radius of the Diamond Head Crater = diameter/2= 3,486/2 = 1,743 feet
Therefore, the area of Diamond Head Crater = π r²
Where r = 1,743 feet and π (pi) = 3.14.
So, the area of Diamond Head Crater = 3.14 × (1743)² = 844,584 square feet.
To convert the square feet into square meters, we need to multiply the answer by a conversion factor i.e., 0.0929.
Conversion factor = 0.0929
Therefore, the area of Diamond Head Crater in squared meter is 844,584 × 0.0929 = 78,200.94 or 78,201 square meters.

Thus, the area that the Diamond Head Crater in Hawaii covers in square meters is approximately 78,201 square meters.

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Answer:

1)The equation of the Parallel line is 2x -y -4=0

2) The equation of the perpendicular line of the given line x+2y+8=0

Step-by-step explanation:

Step(i):-

Given function f(x) = 2x+3 and passes through (0,-4)

Let y =f(x) = 2x+3

    y = 2x+3

⇒ 2x -y +3=0

The equation of the parallel line of the given line 2x - y +k =0

This line is passes through the point (0,-4)

⇒ 2 (0) -(-4)+k=0

            4 +k=0

        ⇒    k =-4

The equation of the Parallel line is 2x -y -4=0

2)

Step(ii):-

Given function f(x) = 2x+3

Let y = 2 x + 3

 2x - y +3=0

The equation of the perpendicular line   bx -ay +k=0

The equation of the perpendicular line of the given line -x-2y +k =0

This line is passes through the point (0,-4)

⇒  (0) -2(-4)+k=0

            8 +k=0

        ⇒    k =-8

The equation of the perpendicular line of the given line -x-2y -8 =0

The equation of the perpendicular line of the given line x+2y+8=0

In order to determine the volume of the cuboid, we would need to know its length, width, and height in centimeters.

The volume of a cube is given by the formula:

V = s^3

Where V is the volume and s is the length of one side of the cube.

Since this cuboid is made up of centimeter cubes, it means that the length, width, and height are in centimeters.

It is not mentioned the dimension of the cuboid, so it is not possible to determine the volume of the cuboid.

In order to determine the volume of the cuboid, we would need to know its length, width, and height in centimeters.

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(1) One of the six countries sent 41 representatives to the congress --> obviously x6=41x6=41 --> x1+x2+x3+x4+A=34x1+x2+x3+x4+A=34.

Given: x1<x2<x3<x4<A<x6x1<x2<x3<x4<A<x6 and x1+x2+x3+x4+A+x6=75x1+x2+x3+x4+A+x6=75. Q: is A≥10A≥10

Can A≥10A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11 --> sum=34sum=34 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9 --> sum=34sum=34 (answer to the question NO).

(2) Country A sent fewer than 12 representatives to the congress --> A<12A<12.

The same breakdown works here as well:

Can 12>A≥1012>A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11, x6=41x6=41 --> sum=75sum=75 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9, x6=41x6=41 --> sum=75sum=75 (answer to the question NO).

(1)+(2) The given examples fit in both statements and A in one is more than 10 and in another less than 10. Not sufficient.

To check the if a table represents a linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same.

Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

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Answer:

36 m 32 s

Step-by-step explanation:

67 /110 = 0.609 hour

0.609 × 60 minutes = 36.54 minutes

36 minutes + 0.54×60 second

= 36 minutes 32 seconds

Answer:

36 mins 32 secs

Step-by-step explanation:

Answer:

4 is the answerrrrrr........

Answer:

4........

....

.......

Answer:

one, x = 7

Step-by-step explanation:

7(x - 2) + 5 = 3 (2x - 1) + 1

reduce:

7x - 14 + 5 = 6x - 3 + 1

x = 7