please help me out!! points

Answer:

3r^7−5r^5+6r+7

Step-by-step explanation:

The total mass of the region bounded by the curves y=2x, x=1, x=4, and the x-axis, with density δ(x) = x^(1/5) grams/cm^2, is approximately 18.34 grams.

To find the total mass of the region bounded by the curves y=2x, x=1, x=4, and the x-axis, we first need to find the area of the region.

The region is a trapezoid with bases of length 2 and 8 (the y-coordinates of the curves at x=1 and x=4 respectively) and height 3 (the distance between x=1 and x=4).

Area = (1/2)(2+8)(3) = 15 cm^2

Next, we need to find the mass of this region. The density of the region is given by δ(x) = x^(1/5) grams/cm^2.

To find the mass, we need to integrate δ(x) over the region.

Total Mass = ∫(from x=1 to x=4) δ(x) dA

where dA represents a small area element. Since we know the area, we can write this as:

Total Mass = ∫(from x=1 to x=4) δ(x) (15 cm^2) dx

Substituting in δ(x) = x^(1/5), we get:

Total Mass = ∫(from x=1 to x=4) x^(1/5) (15 cm^2) dx

Integrating, we get:

Total Mass = [10/3 x^(6/5)] (from x=1 to x=4)

Total Mass = [10/3 (4^(6/5) - 1^(6/5))]

Total Mass ≈ 18.34 grams

To learn more about : mass

https://brainly.com/question/28916233

#SPJ11

rectangle base: 24 x 15 = 360

triangle: 15 x 3 x 1/2= 45 x 1/2 = 22.5 x 4 (each side) 90 inches

total: 360 + 90 = 450 inches :)

Answer:

Yup ur Right ;D

Step-by-step explanation:

Answer:

for This you have to find the value of x.

Step-by-step explanation:

just add both of them the equation formed will be

22x - 26 = 19x -17

so you can calculate x

which is x = 3

so put the value in 14x -15

so TU will be 27

if you have any doubt you can comment it.

thankyou .

Answer:

y = 15 is the answer

Step-by-step explanation:

divided 75/5 = 15

{ i hope i helped :) i'm sorry if its wrong }

Probability all three drawn cards have numbers on them = 32.3%

Out of 52 total cards, there are 36 numbered cards.

In the first attempt probability of numbered cards being drawn

= 36 / 52

=0.692

After the first draw, total numbered cards remaining = 35

Total cards remaining = 51

Probability of numbered card in second attempt = 35 / 51

= 0.686

Probability of numbered card in third attempt = 34 / 50

= 0.68

Total probability of all cards being numbers = (36 / 52) x (35 / 51) x (34/50)

= 0.692 x 0.686 x 0.68

=0.323 x 100%

=32.3%

You can learn more about probability from:

https://brainly.com/question/21586810

#SPJ4

Answer:

6

Step-by-step explanation:

6x-10=26

   +10 +10

6x=36

divide by 6

x=6

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

To know more about Mean visit-

brainly.com/question/26062194

#SPJ11

Answer:

x²-20+58

Step-by-step explanation:

If wrong, I'll try again yeah If correct I'll show how

Answer: B.The range Is Higher for city A than City B

E. The median is the same for city A and City B

According to the calculations, the correct statements are B and C.

Given that Stephen gathered data about the average rainfall in two cities, and he organized his data in the graph, to determine which statements are correct, the graph must be analyzed and the following mathematical reasoning must be carried out:

The average rainfalls of City A range from 0.5 to 4.5 per month, with a variable range of 4 points. In turn, the average rainfalls of City B range from 1 to 4 per month, with a variability range of 3 points. Therefore, the range of the data for City A is higher than City B, so option B is correct, and options A and D are incorrect.

Regarding the median rainfalls, City A has a cumulative total of 27 points over 12 months, that is, an average of 2.25 per month. In turn, City B has a cumulative total of 28.5 points over 12 months, that is, an average of 2,375 per month. Therefore, the mean of City B is higher, so option C is correct.

Learn more in https://brainly.com/question/20982963

Answer:

$0.68 per pound

Step-by-step explanation:

The price of sugar is $0.68 per pound.

A ratio indicates the number of times one number contains another.

Given that, the person paid $8.16 for 12 pounds of sugar.

Therefore, mathematically it can be written as:

12 pounds of sugar = $8.16

1 pound of sugar = $(8.16/12)

1 pound of sugar = $0.68

Hence, the price of sugar is $0.68 per pound.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ2

Answer:

x = 4, y = 5

Step-by-step explanation:

\(2x-y=3\\4x-2y=6\)

so:

\(4x - 2y = 6\\+ 5x + 2y = 30\\9x= 36\\x=4\)

Substitute this into 2x - y = 3:

\(8-y=3\\y = 5\)

Answer:

bmbmvm mbxmvxkbxkhxkbxkhxkhxkhxkhxkbxkhxkgx୮୬୩୭୪୨୭୪୨୭୨୭୨୭୪୭୪

Answer:

Answer:

Let the  number of 30 day period be = p

Step-by-step explanation:

part b= So, there will be 20 30-day periods until the cards will be equal in value. The answer is $10

Answer:

zzz

Step-by-step explanation:

DEEEZZZ

The time Jodie have left to match the record of Mandy is 15.11 seconds

Jodie:

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

Learn more about time:

https://brainly.com/question/25800303

#SPJ1

Answer:

Yes, I agree,  the score of 2 was an outlier,  outside of what is close to everyone else's score

Step-by-step explanation:

If each  sides of the slab form 90° angles, The number of feet that

each diagonal measure is 34 feet.

How to find the diagonal feet?

Using Pythagoreans theorem formula to find the diagonal feet

D² =L² + W²

Where:

D = Diagonal

L= Length = 16 feet

W = Width = 30

Let plug in the formula

D² = 16² + 30²

D² = 256 + 900

D=√1156

D= 34 feet

Therefore the diagonal measure 34feet

Learn more about of diagonal feet here

https://brainly.com/question/29426232

#SPJ4

The values of a, h and k on the function are given as follows:

The meaning of the transformations is given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function in this problem is given as follows:

y = 1/x.

Hence the meaning of the transformations is given as follows:

More can be learned about translations at brainly.com/question/28174785

#SPJ1

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

The variable d in the given equation represents the number of minutes that Lilianna spends walking to the park.

Calories that Lilianna uses by sitting = 3/4

Calories that Lilianna uses by walking = calories used sitting + 1 : 1 + 3/4

Calories that Lilianna uses when she walks to the park = calories used per minute when walking x number of minutes spent walking.

Calories that Lilianna uses when she walks to the park = d(1 + 3/4)

12 1/4 = d(1 + 3/4)

d - 12 1/4 ÷ 1 3/4

d = 49 / 4 x 4/7

d = 7 minutes

To learn more about time, please check: https://brainly.com/question/11885867

#SPJ1

To solve this equation for z, we can proceed as follows:

1. Subtract 19 from both sides of the equation:

2. Multiply by 4 to both sides of the equation (Multiplication property of equality):

Therefore, the value for z is equal to 84.

Answer:

70 dollers i hope it helps

Step-by-step explanation:

Answer:

=$70

Step-by-step explanation:

You've been told about so it doesn't have to be the exact amount and since 353 can't divide 5 without a remainder. Each will get $70 and there will be a remainder of 3.

A triangle can be formed with side lengths 4, 8, 11. Yes, because 4 + 8 > 11

According to the Triangle Inequality Theorem, the largest side cannot be greater than the sum of the other two sides. The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the remaining side.

If the sum of any two sides is greater than the sum of the third, then the difference of any two sides is less than the sum of the third. The sum of any two sides must be greater than the sum of the third. The longest side in a triangle is the side opposite a larger angle.

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

Answer:

28.26 square millimeters

Step-by-step explanation:

-pie- r^2

-pie- (3)^3

-pie- *9

3.14*9

28.26

The orthonormal vectors are:

v→1' = [ -1 ]

v→2' ≈ [ 0.408 0.408 -0.408 0

v→1 = [ −0.5 ], v→2 = [ 0.5 0.5 −0.5 0.5 ], and v→3 = [ 0.5 − ].

We need to find a vector v→4 in R4 such that the vectors v→1, v→2, v→3, and v→4 are orthonormal.

Now, let's first check whether v→1, v→2, and v→3 are orthonormal or not. For this, we can find the dot product of each pair of vectors. If the dot product is zero, then the vectors are orthogonal. If the dot product is 1, then the vectors are orthonormal.

Dot product of v→1 and v→2: v→1 · v→2 = -0.5 * 0.5 = -0.25

Dot product of v→1 and v→3: v→1 · v→3 = -0.5 * 0.5 = -0.25

Dot product of v→2 and v→3: v→2 · v→3 = 0.5 * 0.5 - 0.5 * 0.5 = 0

Thus, v→1, v→2, and v→3 are orthogonal.

To obtain a fourth vector v→4, we can find the cross product of v→2 and v→3. The cross product of two vectors will always be orthogonal to both the vectors and will lie in the plane determined by the two vectors.

Cross product of v→2 and v→3: v→2 × v→3 = det(|i j k| 0.5 0.5 -0.5 0.5 0.5 -1) = -j - 0.5k

Thus, v→4 = [ 0 1 0.5 ] is a vector in R4 that is orthogonal to v→1, v→2, and v→3.

To make the vectors v→1, v→2, v→3, and v→4 orthonormal, we can divide each of the vectors by their magnitude. The magnitude of a vector is given by the square root of the sum of the squares of its components.

So, we have:

v→1' = v→1 / ||v→1|| = [ −0.5 ] / 0.5 = [ -1 ]

v→2' = v→2 / ||v→2|| = [ 0.5 0.5 -0.5 0.5 ] / sqrt(0.5^2 + 0.5^2 + (-0.5)^2 + 0.5^2) = [ 0.5 0.5 -0.5 0.5 ] / sqrt(1.5) ≈ [ 0.408 0.408 -0.408 0.408 ]

v→3' = v→3 / ||v→3|| = [ 0.5 − ] / sqrt(0.5^2 + 1^2) = [ 0.447 -0.894 ]

v→4' = v→4 / ||v→4|| = [ 0 1 0.5 ] / sqrt(1^2 + 0.5^2) = [ 0 0.894 0.447 ]

Therefore, the orthonormal vectors are:

v→1' = [ -1 ]

v→2' ≈ [ 0.408 0.408 -0.408 0

To learn more about vectors, refer below:

https://brainly.com/question/24256726

#SPJ11

Answer:

93,500,000

Step-by-step explanation:

Rounding rule:

1) If the digit directly next to the one you are finding is 5 or greater, round up.

2) If the digit is 4 or less, round down.

Note the hundred thousands place value (underlined and bolded):

93,487,991

Look at the digit value directly next to the place value you are looking for. The value of the digit is 8. Because 8 is greater then 5, round up:

93,487,991 rounded to the nearest hundred thousand is 93,500,000.

~

       Hence, OPTION (C) is your answer:  X  =  44

Step-by-step explanation:

       √x + 5 - 3 = 4

        √x +  5   =  3  +  4

        √x +  5   =   7

         (√x  +   5)2     =     (7)2

            x   +   5         =   49

        x   -  44     =   0

             +44      =   44

       X                =   44

       Hence,  X  =  44

        Equation: √x  +  5  =  7

      √(44)  +  5  =  7

    √49  =   7

            Hence,   x   =   44

        I hope this helps!

Area of square = Side × Side

⇛Area = 120 cm × 120 cm

⇛Area = 14400 cm²

Hence , the area of square is 14400 cm²

Answer:

14400

Step-by-step explanation:

Area for square formula: B × H

Since a square has equal sides for each side, you will multiply 120 by itself.

120 × 120 = 14400

The area of the square is 14400.

Hope this helped.