I just need the answer for this one

The volume of ball is 32.49 cubic centimeter.

What is volume ?

 Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area occupied within an object's three-dimensional bounds is referred to as its volume. The object's capacity is another name for it.

Here ,

The volume of a ball = 32490 cubic millimeters

To convert into cubic millimeter into cubic centimeter by dividing by 1000, Then,

=>  32490/1000

=> 32.49 cubic centimeter.

Hence the volume of ball in cubic centimeter is 32.49 .

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Answer:

3/26

Step-by-step explanation:

6 of the 52 cards are red

Therefore, for x = 730 feet, the predicted value of y = 42.30Thus, we have found the regression equation and used it to predict the value of y for each of the given x-values.

Given data is shown in the below table which depicts the heights and number of stories of six notable buildings in a city:Height, x (ft) 758 621 518 510 492 483Stories, y 51 47 45 41 39 37Now, we have to find the regression equation for this given data, and construct a scatter plot of the data and draw the regression line.

Scatter plot of the given data is shown below:The regression equation of the given data is:y = - 0.0523x + 81.41Now, we have to use this regression equation to predict the value of y for each of the given x-values:Given x values are as follows

a) x = 501 feetSubstituting x = 501 in the regression equation:y = - 0.0523(501) + 81.41y = 54.09Therefore, for x = 501 feet, the predicted value of y = 54.09

b) x = 648 feetSubstituting x = 648 in the regression equation:y = - 0.0523(648) + 81.41y = 48.48Therefore, for x = 648 feet, the predicted value of y = 48.48

c) x = 345 feetSubstituting x = 345 in the regression equation:y = - 0.0523(345) + 81.41y = 64.54As x = 345 is not in the range of the original data, it is not meaningful to predict the value of y for x = 345 feet.

d) x = 730 feetSubstituting x = 730 in the regression equation:y = - 0.0523(730) + 81.41y = 42.30Therefore, for x = 730 feet, the predicted value of y = 42.30Thus, we have found the regression equation and used it to predict the value of y for each of the given x-values.

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The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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Answer:

• 85% protein supplement: 480 pounds

• 60% protein ration: 720 pounds

Explanation:

Let the number of pounds of 85% protein supplement required = x

The farmer wants to make 1200 pounds (of a high-grade 70% protein ration).

Therefore, the number of pounds of 60% protein ration required = (1200-x) lbs

First, we add the constituents we are mixing together.

The final protein ration we want to obtain:

Equate both:

Then solve the equation for x.

The number of pounds of the 85% protein supplement he should use is 480 pounds.

The number of pounds of the 60% protein ration he should use is 720 pounds.

the probability that alex and jose end up on the same team is 44.4%

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

there are two kids in the group, Alex and his best friend Jose.

alex and Jose end up on the same team

Since the order of students in the team is not important so the combination will be used.

The number of ways of selecting 5 students out of 10 is

C(10,5) = 252

Rest of 5 students will go into team B. Therefore, the number of elements in the sample space is 252.

P(Alex and Jose are in one team) = 112 / 252 = 0.4444

Hence the probability that Alex and Jose end up on the same team is 44.4%

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The maximum number of packages that can be secured with 6m tape are 200.

According to the question

A certain package requires 3 centimeters of tape to be closed securely.

We all know

Meter to Centimeter conversion

1 m = 100 cm

6 m = 600 cm

3 cm tape is required to tape one package

Total number of packages will be packed in 6m tape

= \(\frac{600}{3}\) = 200

hence,

The maximum number of packages that can be secured with 6m tape are 200

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Equation (ii) says that [x]_W = P[x]_U for all x in V. This means that the coordinate vector of x with respect to W is equal to P times the coordinate vector of x with respect to U. Both equations are satisfied by P for all x in V.  

To see why, let's first recall the definitions of [x]_u and [x]_W. [x]_u is the coordinate vector of x with respect to the basis U, meaning that [x]_u = [a,b] where ax_1 + bx_2 = x for some scalars a and b, and u_1 = [1,0] and u_2 = [0,1] are the standard basis vectors of U. Similarly, [x]_W is the coordinate vector of x with respect to the basis W, meaning that [x]_W = [c,d] where cw_1 + dw_2 = x for some scalars c and d, and w_1 = [1,0] and w_2 = [0,1] are the standard basis vectors of W.
Now, let's consider each equation. Equation (i) says that [x]_u = P[x]_W for all x in V. This means that the coordinate vector of x with respect to U is equal to P times the coordinate vector of x with respect to W. Since P has columns [u_1]_W and [u_2]_W, we can rewrite this equation as [a,b] = c[u_1]_W + d[u_2]_W, where c and d are the entries of P[x]_W. But we know that x = au_1 + bu_2 and x = cw_1 + dw_2, so we can substitute these expressions into the equation to get a[u_1]_W + b[u_2]_W = c[w_1]_W + d[w_2]_W. Since U and W are both bases for V, this means that [u_1]_W and [u_2]_W are linearly independent, so we can equate coefficients to get a=c and b=d. Therefore, equation (i) is satisfied by P for all x in V.
Similarly, equation (ii) says that [x]_W = P[x]_U for all x in V. This means that the coordinate vector of x with respect to W is equal to P times the coordinate vector of x with respect to U. Since P has columns [u_1]_W and [u_2]_W, we can rewrite this equation as [c,d] = a[u_1]_W + b[u_2]_W, where a and b are the entries of P[x]_U. But we know that x = au_1 + bu_2 and x = cw_1 + dw_2, so we can substitute these expressions into the equation to get a[u_1]_W + b[u_2]_W = c[w_1]_W + d[w_2]_W. We can equate coefficients as before to get a=c and b=d, so equation (ii) is also satisfied by P for all x in V.
Therefore, both equations are satisfied by P for all x in V.

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Christo and Jeanne-Claude worked for over 26 years on "The Gates," a large-scale public art installation in Central Park consisting of thousands of saffron-colored fabric panels along 23 miles of walkways, which was on display for 16 days in February 2005.

Christo and Jeanne-Claude were artists known for their large-scale public art installations. "The Gates" was a project they worked on for over 26 years, from its conception in 1979 to its installation in Central Park in February 2005. The installation involved placing thousands of saffron-colored fabric panels along 23 miles of walkways in the park, creating a visually stunning and immersive experience for visitors.

The project was met with both praise and criticism, but it ultimately succeeded in bringing people together to appreciate art in a public space. The installation remained in place for 16 days before it was dismantled.

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Answer: 1st option, 3rd option, 1st option

Step-by-step explanation:

Answer:

When the bases are the same, we can combine the exponents. Therefore, we can rewrite the equation as:

4^-2x * 4^x = 4^(-2x+x) = 4^(-x) = 64

To solve for x, we need to isolate x on one side of the equation. We can rewrite 64 as a power of 4:

4^3 = 4^(-x)

Now we can equate the exponents:

3 = -x

Therefore, x = -3.

To check the solution, we can substitute x = -3 back into the original equation:

4^-2(-3) * 4^(-3) = 4^6 * 4^(-3) = 4^3 = 64

So x = -3 is indeed a solution to the equation.

If this trend continues, the total books the author would have sold over the first 12 months is 157,810 books.

In this scenario, we would calculate the total books sold by this author over the first 12 months as follows;

First month = 19,000 books.

Second month; 19,000 × (1 - 7)% = 19,000 × 93/100 = 17,670 books.

Third month; 17,670 × (1 - 7)% = 17,670 × 93/100 = 16,433 books.

Fourth month; 16,433 × (1 - 7)% = 16,433 × 93/100 = 15,283 books.

Fifth month; 15,283 × (1 - 7)% = 15,283 × 93/100 = 14,213 books.

Sixth month; 14,213 × (1 - 7)% = 14,213 × 93/100 = 13,218 books.

Seventh month; 13,218 × (1 - 7)% = 13,218 × 93/100 = 12,293 books.

Eigth month; 12,293 × (1 - 7)% = 12,293 × 93/100 = 11,432 books.

Ninth month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 10,632 books.

Tenth month; 10,632 × (1 - 7)% = 13,218 × 93/100 = 9,888 books.

Eleventh month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 9,196 books.

Twelveth month; 9,196 × (1 - 7)% = 9,196 × 93/100 = 8,552 books.

Next, we would add all of the books sold in each month together;

Total books sold = 19,000 + 17,670 + 16,433 + 15,283 + 14,213 + 13,218 + 12,293 + 11,432 + 10,632 + 9,888 + 9,196 + 8,552

Total books sold = 157,810 books.

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Answer:

97.67

Step-by-step explanation:

600 = 100%

586 = x%

\(\frac{100}{x} = \frac{600}{586}\)

x = \(\frac{586.100}{600}\) = \(\frac{586.100}{6.100}\) = \(\frac{586}{6}\) = 97.67

Answer:

The real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers. The set of real numbers is all the numbers that have a location on the number line.

Step-by-step explanation:

Answer:

D) 84cm

Step-by-step explanation:

Square area = √(441cm²) = 21 cm

perimeter = 4*21 = 84 cm

Answer:

64

Step-by-step explanation:

\(\sqrt{256}\) = 16 (length of each side)

A square (rug) has 4 sides.

Add to find perimeter:

16 + 16 + 16 + 16

= 64

Answer: 8ft

Step-by-step explanation:

4A= 256

4A/4     =    256/4

A = 64

A = a²

64 = 4²

a² = 64

a = ±√64

a = ±8

∴a = ±8

Hence, the length of a side of each rug is 8ft.

Answer:

(-3,2)

Step-by-step explanation:

Q' (5-8,6-4) ⇒ (-3,2)

Answer:

22

Step-by-step explanation:

(3² - 5 + 7) × (2² - 2)

(9 - 5 + 7) × (4 - 2)

(4 + 7) × (2)

11 × 2

22

Answer:

Use the order of operations (PEMDAS- parentheses, exponents, multiplication and division, addition and subtraction) to solve.

(3^2-5+7)x(2^2-2)

(9-5+7)x(4-2)

(11)x(2)

22

:)

how do i delete an answer?

In the proof of given identity, cos(π - A) = -cos A. Therefore, step 1 is error made.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.

The given identity is,

cos(π - A) = -cos A.

Use formula for cos(a − b) = cosa . cosb + sina . sinb

cos(π - A) = cosπcosA + sinAsinπ

                = (−1)(cosA) + (sinA)(0)

                = −1.cosA + (sinA)(0)

                = −cosA + 0

                 = −cosA

Since, in the step 1 the formula is wrongly used,

Therefore, step 1 is error made.

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The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

Specificity and memory are two crucial properties that determine adaptive immunity. Both specificity and memory pertain to the adaptive immune system's capacity to recognize and attack certain diseases, as well as to promptly react to pathogens to which it has already been exposed.

Adaptive immunity can offer an enduring defense, perhaps for the duration of a person's lifespan. In certain circumstances, such as with chickenpox, it does not confer permanent protection; for instance, a person who recovers from measles is now protected against measles for the rest of their life.

Specificity, diversity, specialization, memory, and self/non-self identification are the immunologic characteristics that define adaptive immunity, and these cells both create and show antigen-binding cell surface receptors.

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

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With reference to X-linked recessive traits in human beings b. they express more in males than in females

Recessive traits that are linked to the X chromosome and are more common in men are known as X-linked recessive traits. In males, a single copy of the allele is enough to cause the disease because they have just one X chromosome, but in females, two copies of the allele are necessary to cause the disease because they have two X chromosomes.

Hemophilia and red-green color blindness are two common X-linked recessive conditions found in humans. The human X chromosome carries more than 1,000 genes, the majority of which are not associated with sex determination but have other critical functions in the body. The X chromosome has a high number of genetic disorders linked with it, but these disorders are not X-linked for the most part. As a result, the inheritance pattern for these diseases is not predictable.

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Answer:

The coordinates of the points of the rectangle A'B'C'D' are;

The coordinates of the point A' = (-2, -1)

The coordinates of the point B' = (-2, 1)

The coordinates of the point C' = (2, 1)

The coordinates of the point D' = (2, -1)

Step-by-step explanation:

Placing the point P as the origin of the chart, we have;

The coordinates of the points are given as follows;

The coordinates of the point B = (-4, 2)

The coordinates of the point C = (4, 2)

The coordinates of the point A = (-4, -2)

The coordinates of the point D = (4, -2)

Given that the sides are parallel to the axis, we have;

The length of the segment AB = 2  - (-2) = 4

The length of the segment BC = 4  - (-4) = 8

The length of the segment CD = 2  - (-2) = 4

The length of the segment AD = 4  - (-4) = 8

Therefore, a dilation by 1/2 will give;

The length of the segment A'B' = AB/2 = 4/2 = 2

The length of the segment B'C' = BC/2 = 8/2 = 4

The length of the segment C'D' = CD/2 = 4/2 = 2

The length of the segment A'D' = AD/2 = 8/2 = 4

The coordinates of the point A' = The coordinates of the point A/2 = (-4, -2)/2 = (-2, -1)

The coordinates of the point A' = (-2, -1)

The coordinates of the point B' = The coordinates of the point B/2 = (-4, 2)/2 = (-2, 1)

The coordinates of the point B' = (-2, 1)

The coordinates of the point C' = The coordinates of the point C/2 = (4, 2)/2 = (2, 1)

The coordinates of the point C' = (2, 1)

The coordinates of the point D' = The coordinates of the point D/2 = (4, -2)/2 = (2, -1)

The coordinates of the point D' = (2, -1).

Applying the definition of congruent triangles:

1. QS = 57 units; TV = 57 units

2. m∠B = 3°; m∠Q = 3°

The triangles that are congruent to each other have corresponding parts that are congruent, that is their corresponding sides and angles are equal to each other.

1. Given that triangles QRS and TUV are congruent triangles, therefore:

QS = TV [corresponding congruent sides]

QS = 4v + 5

TV = 5v - 8

Therefore:

4v + 5 = 5v - 8

4v - 5v = -5 - 8

-v = -13

v = 13

QS = 4v + 5 = 4(13) + 5 = 57 units

TV = 5v - 8 = 5(13) - 8 = 57 units

2. Given that triangles ABC and PQR are congruent, therefore:

m∠B = m∠Q

m∠B = 2v + 1

m∠Q = 8v - 5

Therefore:

2v + 1 = 8v - 5

2v - 8v = -1 - 5

-6v = -6

v = -6/-6

v = 1

m∠B = 2v + 1 = 2(1) + 1 = 3°

m∠Q = 8v - 5 = 8(1) - 5 = 3°

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Answer:The number of children in the town with population 1,98,568 is 1,17,578.

Step-by-step explanation: I did the activity

Step-by-step explanation:

So you just subtract 198568 -45312-35678= 117578

Answer:

Step-by-step explanation:

43 + 24 + 57 + x = 180 degree (being sum of interior angles of a triangle)

124 + x = 180

x = 180 - 124

x = 56 degree

in small triangle

57 + 24 + z = 180 degree (sum of interior angles of a triangle )

81 + z = 180

z = 180 - 81

z = 99 degree

in big triangle

x + 43 + y = 180 degree (sum of interior angles of a triangle )

56 + 43 + y = 180

99 + y =180

y = 180 - 99

y = 81 degree

The value of x= 56°

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