Find the value of: [tex]\frac{1}{2\cdot 4}+\frac{1}{4\cdot 6}+\frac{1}{6\cdot 8}+ ... + \frac{1}{48\cdot 50}[/tex]

Answer:

See below in bold.

Step-by-step explanation:

14. f(x) = x^6 e^x

Applying the Product Rule:

f'(x) = x^6 e^x + 6x^5 e^x

= e^x(x^6 + 6x^5).

10. f(x) = x^3 - 4

y = x^3 - 4

x^3 = y + 4

x = ∛(y + 4)  so:

f-1(x) = ∛(x + 4).  (you are correct.)

30. 3 sinh 2

=  3(e^4 - 1) / 2 e^2

= 10.88058

= 10.881.

Answer:

y will be in every single quadrant

Step-by-step explanation:

So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex]  first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way

Answer:

5.53:4.

Step-by-step explanation:

The scale factor is ∛13 : ∛8.

The surface area ratio is the square of these.

= (∛13)^2 : (∛8)^2.

= 5.53 : 4

Answer:

There are 360° in a full circle. 36% of 360 = 0.36 * 360 = 129.6° which rounds to 130°.

Answer:

x= 130°

Step-by-step explanation:

We want to khow what is the size of the angle that coresponds 36  percent

we can state :

Answer:

the slope is 0

m= 0

Step-by-step explanation:

whenever a line is horizontal and straight across the plane the slope is 0

Answer:

m = 0

Step-by-step explanation:

slope can be found using the following equation:

m  (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-3 , -2)

(x₂ , y₂) = (1 , -2)

Plug in the corresponding numbers to the corresponding variables:

m =  (y₂ - y₁)/(x₂ - x₁) = (-2 - (-2))/(1 - (-3))

Simplify:

m = (-2 - (-2))/(1 - (-3)) = (-2 (+2))/(1 +3) = (-2 + 2)/(1 + 3)

m = (-2 + 2)/(1 + 3) = (0)/(4)

m = 0/4 = 0

The slope of the line is 0.

~

Answer:

a. 412

b. 478

Step-by-step explanation:

We have to find the corresponding probabilities using the standard normal table, that is, we must calculate the value of z, the formula of z is as follows:

z = (x - m) / sd

where x is the value to evaluate, m is the mean and sd is the standard deviation.

We are told that the mean is 8.2 cm and the standard deviation is equal to 2.8 cm.

a. smaller than 5.9cm?

In this case x would be 5.9, we replace and we are left with:

z = (x - m) / sd

z = (5.9 - 8.2) /2.8

z = -0.82

If we look for this value in the normal table (attached) it corresponds to 0.2061, to know the number of apples we must multiply this value by the total value of apples, that is 2000. Therefore:

2000 * 0.2061 = 412.2 = 412

b) larger than 10.2cm?

In this case x would be 10.2, we replace and we are left with:

z = (x - m) / sd

z = (10.2 - 8.2) /2.8

z = 0.71

In this case z corresponds to 0.7611, but since this is the value is smaller than 10.2, and we need is larger than 10.2cm, it would be the complement, that is:

1 - 0.7611 = 0.2389

Now to calculate the total number of apples we have:

2000 * 0.2389 = 477.8 = 478

Answer:

36

Step-by-step explanation:

Equation for an inversely proportional relation, where y is inversely proportional to x:

[tex] y = \dfrac{k}{x} [/tex]

Here we have:

[tex] \alpha = \dfrac{k}{\beta} [/tex]

We use the known ordered pair to find k.

[tex] -6 = \dfrac{k}{12} [/tex]

[tex] k = -72 [/tex]

The relation is:

[tex] \alpha = \dfrac{-72}{\beta} [/tex]

For beta = -2,

[tex] \alpha = \dfrac{-72}{-2} [/tex]

[tex] \alpha = 36 [/tex]

Answer:

252 sets

Step-by-step explanation:

The set given to us is:

{0,1,2,3,4,5,6,7,8,9}

Total number of elements in set = n = 10

Number of elements to be included in seach set = r = 5

As the order doesn't matter, we can use the combination formula to find number of different combinations if we choose 5 numbers from the given 10 numbers with no repetition:

C(10,5) = 10!/(5!)(10-5)!

C(10,5) = 10!/(5!)(5!)

C(10,5) = 10·9·8·7·6/ 5·4·3·2·1

C(10,5) = 252

Thus 252 sets can be formed which contains any of the 5 numbers from the sets

Answer:

You can choose one senator in 2 ways from the first of the 3 states; in 2 independent ways from the second of the 3 states; and in 2 independent ways from the third of the 3 states.

Step-by-step explanation:

So the answer to that question is 2*2*2*19600 which = 156800 ways.

Answer:

a = -6

Step-by-step explanation:

The given line in point-slope form is y + 2 = (1/2)(x - 4).

Replacing x with -4 yields                   y + 2 = (1/2)(-4 - 4)  =  (1/2)(-8)

Then y + 2 = -4, and so y = -6, or a = - 6.

Answer:

-6

Step-by-step explanation:

Answer:

P = 1 /362880

Where the numerator is the event of selecting the same order as last performance that is 1.

The denominator is the total number of possible events of selecting the 9 dancers.

p = 1/72

Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

Step-by-step explanation:

The probability that the team selects the same order as last performance is 1 divided by 362880

Explain where each the numerator and denominator come from

The probability that the team selects the same order as last performance is

P = 1 /362880

Where the numerator is the event of selecting the same order as last performance that is 1.

The denominator is the total number of possible events of selecting the 9 dancers.

Total number of dancers = 9

The 1st dancer can be selected in 9 ways

The 2nd dancer can be selected in 8 ways

The 3rd dancer can be selected in 7 ways

The 4th dancer can be selected in 6 ways

The 5th dancer can be selected in 5 ways

The 6th dancer can be selected in 4 ways

The 7th dancer can be selected in 3 ways

The 8th dancer can be selected in 2 ways

The 9th dancer can be selected in 1 ways

So the total number of ways = 9×8×7×6×5×4×3×2×1 = 362880

What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position?

Lets us put the top hip hop dancer in the third position and top break dancer in the first position then the remaining 7 dancers can be selected in

7×6×5×4×3×2×1 = 5040 ways

So the required probability is,

P = 5040/362880

P = 1/72

P = 0.0139

Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

Answer: I had the same one

Step-by-step explanation: I DON'T GET IT EITHER

Answer:

where is the problem?

Step-by-step explanation:

Answer:

x = -3.75

Step-by-step explanation:

First, combine like terms:

x - 5x = -4x

-4x = 15

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides:

(-4x)/-4 = (15)/-4

x = 15/-4

x =  -3.75

-3.75 is your answer for x.

 ~

Answer:

x = -15/4

Step-by-step explanation:

x - 5x = 15

Combine like terms

-4x = 15

Divide each side by -4

-4x/-4 = 15/-4

x = -15/4

Answer:

(3/2, 0+), (-1, 0+)

Step-by-step explanation:

An exact "zero" of a polynomial is characterized by a point on the x-axis.  In this case the best approximation to that is the point (3/2, 0+); the next best approximation is (-1, 0+).  Note that neither of these two points actually lies on the x-axis, but that both are closer to the x-axis than are any of the other given points.

The x-values which best approximate roots of the polynomial are x=1.1 and x=4.1

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.

We can see in the graph that there are three points where the value of polynomial becomes 0.

The roots of a polynomial occur where the graph crosses the x-axis

x=1.1

x=4.1

Hence, the  x-values which best approximate roots of the polynomial are x=1.1 and x=4.1

To learn more on Polynomials click:

https://brainly.com/question/11536910

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Answer:

Square root ( 2 )

Step-by-step explanation:

We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ).  

Answer:

B

Step-by-step explanation:

Take total displacement and divide by the time it took.

Answer:

4625 numbers

Step-by-step explanation:

To solve this problem we can separate it in different cases, and then we sum the amount of numbers of each case to find our final result.

The first case is: all four numbers are even.

We have 5 even digits, and the first digit of the 4-digit number can't be zero, so for the first digit we have 4 possible values, and for the other 3 digits we have 5 possible values, then the amount of numbers with this condition is:

[tex]N_1 = 4 * 5 * 5 * 5 = 500\ numbers[/tex]

The second case is the number having three even digits and one odd digit, and the first digit is the odd digit.

In this case, the first digit has 9 possible values (all digits but zero) and the other 3 digits have 5 possible values (even digits):

[tex]N_2 = 9 * 5 * 5 * 5 = 1125\ numbers[/tex]

The third case is the number having three even digits and one odd digit, and the first digit is not the odd digit.

In this case, the first digit has 4 possible values, the odd digit has 10 possible values and the other two digits have 5 possible values. The odd digit can be the second, the third or the fourth digit, so we multiply our result by 3 (because we will find the same result if we choose the odd digit to be the second, third or fourth):

[tex]N_3 = 3 * 4 * 10 * 5 * 5 = 3000\ numbers[/tex]

So the final result is the sum of these cases:

[tex]N = N_1 + N_2 + N_3[/tex]

[tex]N = 500 + 1125 + 3000 = 4625\ numbers[/tex]

Answer:

100 and 80 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.  Here we are to find two such angles that are in the ratio 5:4.  To do this, we set up and solve the following equation:

5x + 4x = 180, or

9x = 180, or

x = 20.

Then one angle is 5(20) and the other is 4(20), or 100 and 80.

Note that these two angles add up to 180 degrees, as they must.

The two supplementary angles are 100 and 80 degrees.

Answer:

I apologize for the confusion caused. Let's go through the problem again to determine the correct answer.

We have a police helicopter flying at 120 mph at an altitude of 1.5 miles above a highway. The radar detects an oncoming car at a distance of exactly 3 miles from the helicopter, and this distance is decreasing at a rate of 190 mph.

To find the speed of the car, we need to consider the relative motion between the car and the helicopter. From the perspective of the helicopter, the car's speed is the sum of its own speed and the rate at which the distance is decreasing.

Let's denote the speed of the car as "v_car" and the speed of the helicopter as "v_helicopter." The relative speed between the car and the helicopter is the difference between the two speeds, given by:

Relative speed = v_car - v_helicopter

Since the distance between the car and the helicopter is decreasing at a rate of 190 mph, the relative speed is -190 mph (negative because the car is approaching the helicopter).

However, since we want to find the speed of the car, we need to consider the magnitude of the relative speed. Taking the absolute value, we have:

|Relative speed| = |v_car - v_helicopter| = |-190|

Now, let's solve for the speed of the car:

|v_car - 120| = 190

We can solve this equation by considering two cases:

Case 1: v_car - 120 = 190

v_car = 190 + 120

v_car = 310 mph

Case 2: -(v_car - 120) = 190

-v_car + 120 = 190

v_car = 120 - 190

v_car = -70 mph

Since speed cannot be negative, we discard Case 2.

Therefore, the correct answer is that the speed of the car, as detected by the radar, is 310 mph.

Let's assume that the measure of angle 1 is represented by "x" and the measure of angle 2 is represented by "y". We are given that the ratio of the measures of angle 1 to angle 2 is 5:4. This can be expressed as:

x:y = 5:4

Since the angles are supplementary, the sum of their measures is 180 degrees:

x + y = 180

To solve this system of equations, we can use the ratio given to express one variable in terms of the other. Let's express "x" in terms of "y":

x = (5/4) * y

Substituting this expression for "x" into the second equation:

(5/4) * y + y = 180

Multiplying through by 4 to eliminate the fraction:

5y + 4y = 720

9y = 720

Dividing both sides by 9:

y = 80

Substituting the value of "y" back into the expression for "x":

x = (5/4) * 80

x = 100

Therefore, the measures of the supplementary angles that satisfy the given ratio are angle 1 with a measure of 100 degrees and angle 2 with a measure of 80 degrees.

I am very sorry maybe I did mistake in the previous questions answer so this is the revised ONE and sO please DO SEE once okay !!!

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

1/3 × Area of the triangle × Height

Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

Volume of large pyramid = 10mm³

Hence,

4³/5³ = X/10

Cross Multiply

= 4³ × 10 = 5³ × X

X = (4³ × 10)/ 5³

X = 5.12mm³

Answer:

it is 3

Step-by-step explanation:

Answer:

3 yessirrr

Step-by-step explanation:

Answer:

In 2 years

Step-by-step explanation:

age right now 1,5,7,9

Let the number of years in which the sum of the ages of two of his children be twice the sum of the ages of the other two children=x

Therefore Age of the children after x years will be 1+x,5+x,7+x and 9+x

2[1+x + 5+x] = (7+x)+(9+x)

2[6+2x]= 7+9+x+x

12+4x=16+2x

4x-2x=16-12

2x=4

x=4/2=2

Let's verify if the answer is correct

-- Verify by substituting the value of x in this 2[1+x + 5+x] = (7+x)+(9+x)

2[1+2 + 5+2] = (7+2)+(9+2)

2[10]=9+11

20=20

Therefore 2 years is the answer

We are required to find the number of years when the ages of two of his children be twice the sum of the ages of the other two children?

The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years

Child 1 = 1 year

Child 2 = 5 years

Child 3 = 7 years

Child 4 = 9 years

let

x = number of years it will take for two of his children be twice the sum of the ages of the other two children

twice the age of the two younger children in the unknown year equal the age of the two older children in the unknown year

2{(1 + x) + (5 + x)} = (7 + x) + (9 + x)

2(1 + x + 5 + x) = 7 + x + 9 + x

2(6 + 2x) = 16 + 2x

12 + 4x = 16 + 2x

12 - 16 = 2x - 4x

-4 = - 2x

divide both sides by -2

-4 / -2 = x

x = 2

Therefore,

The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years

Read more:

https://brainly.com/question/17786150

Answer:

1/2n-7

(0×3)+4

(p×5)-2

7+r

s+7

10-t

u-10

2×v

w×2

x÷5

5÷y

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

14) 1/2n - 7

15) 3o + 4

16) 5p - 2

17) 7 + r

18) s + 7

19) t - 10

20) 10 - u

21) 2v

22) 2w

23) x ÷ 5

24) 5 ÷ y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Combination

Step-by-step explanation:

Permutation is likely used more for lists/ordered things.

Combination is used more for groups.

Since we are trying to elect a group of people (president, vice president, and secretary) out of 205 students, we use combination.

Answer: Non of the options is correct.

Step-by-step explanation:

Domain of a function are the minimum and maximum values of independent variable (x).

You are given the function:

f(x) = 4x – 8

The domain can be any real numbers.

Range is the minimum to maximum value of dependent variable ( y )

From the given equation:

f(x) = 4x – 8

If the value of domain are substituted, the range will also be any real numbers.

Non of the answers is correct because both the domain and the range are all real numbers.

But the best option among the given option is option A:

domain: {x | x is a real number}; range: {y | y > –8}

Answer:

A on edg

Step-by-step explanation: