Circle A is given by the equation (x-4) +(3-3)* = 25. Circle A is shifted up five units and left by six units. Then, its radius is doubled. What is the new equation for circle A? A. (x+2)+(y-2)* = 50 B. (x+2)+(y –8)* = 100 C. (x-2)* +(y+2) = 100 D. (x-2)+(+8)* = 50

Answer:

king need 12m by 5m 12×5 =

60

Step-by-step explanation:

look up and read

The area after 15 years is 517.40km²

It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.

y = A(1 - r)t

where,

A = initial area

r = rate

y = 1600(1 - 0.0725)

y = 1600[tex](0.9275)^{t}[/tex]

here we put t=15, then we get

y=1600[tex](0.9275)^{15}[/tex]

y=517.40 km²

Therefore, the area after 15 years is 517.40km²

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"https://www.wyzant.com/resources/answers/224267/a_certain_forest_covers_an_area_of_1600_km2_suppose_that_each_year_this_area_decreases_by_7_25_what_will_the_area_be_after_15_years"

|CD| is parallel to |AB|

Also;

ANSWERS:

(a) The measured angle ACD is 65degrees

(b) The measured angle DCB is 35degrees

(c) The measured angle ACB is 30 degrees

When the salesman earns 40% commission on all the merchandise that she sells last month she sold $500 worth of merchandise, the commission is $200.

Commission simply means the percentage of the sales that is determined based on the rate that's given.

In this case, the commission will be:

= Percentage × Sales

= 40% × $500

= 0.4 × $500

= $200

The commission is $200

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Answer: x≤-60

Step-by-step explanation:

Subtract -15 to isolate X:

[tex]\ \ \ 15 + x \leq -45 \\-15 \ \ \ \ \ \ \ \ -15\\[/tex]

      [tex]x \leq -60[/tex]

1. Rolle's first two conditions are not satisfied. Rolle's theorem is not applicable.

2. lim a sin x - sin 2x/[tex]tan^{3} x[/tex] = lim a sin x cos x / [tex]tan^{3} x[/tex] = sin x(a - 2cos x)

= Lim x-0 Sin x [tex]\left[\begin{array}{ccc}a - 21 (1 - x^{2} /2! + ..)\end{array}\right] /tan^{3} x[/tex] = Lim x - 0 sin x [a - 2) + [tex]x^{2}[/tex] ( 1 + higher power of x) ] / [tex]tan^{3} x[/tex]

Hence for the given limit to exist a − 2 = 0 ⇒a = 2, and the corresponding limit is 1.

Rolle's theorem states and iii if f(a) = f(b) then let us assume that there exists at least one value of x, and this value is c. The theorem is that if a function f is continuous on a closed interval, it must be continuous at that particular point in order for the function to be differentiable at any point x = a in its domain, but vice versa. Indicates that it is not always true. For continuity, we need to check the left and right limits and the value of the function at the point x = a.

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The distance that should be drwan on a scale plan of 1:100000 is = 32m

Distance can be defined as the area that is covered by the movement of an object without reference to its direction.

From the scale given,

1cm : 100000cm on the scale plan of the map

The given distance = 32km

Convert km to cm by multiplying by 100000

32km = 32× 100000 = 3,200,000

To determine the equivalent ratio,

1 cm = 100000

n cm = 3,200,000

n cm= 3,200,000/100000

n cm= 32cm

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Answer: 12:29

Step-by-step explanation: 12 apples to 29 orange trees. no need to simplify. 29 is a prime number.

The amount that Aaliyah will pay for monthly payment for the computer is 43.21.

From the information, it should be noted that Aaliyah bought a computer for 382.68 including tax she has already saved 37.00 and wants to pay the rest of in 8 equal monthly payments.

Therefore, the following can be deduced:

Total amount = 382.68

Amount saved = 37.00

Let the monthly payment be represented as x. Therefore, the equation will be:

37 + (8 × x) = 382.68

37 + 8x = 382.68

Collect like terms

8x = 382.68 - 37

8x = 345.68

Divide

x = 345.68 / 8

x = 43.21

The monthly payment is 43.21

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The division problem where a divisor is a whole number and the dividend is a decimal is:

$20.36 are distributed equally among 4 men. How much money will each person get?

Each person will get $5.09.

The divisor of the division problem must be a whole number and the dividend is decimal.

Let's consider the dividend to be 20.36 and the divisor to be 4 which is a whole number.

When we divide 20.36 by 4 we obtain,

20.36/4 = 5.09

Therefore, the quotient is 5.09 which is greater than 5 but less than 6.

The problem:

$20.36 are distributed equally among 4 men. How much money will each person get?

Therefore, each person will get $5.09 each.

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When there are 800 students at the school, the students that can be expected to Participate in the science fair is 320 students.

It should be noted that an expression is used to illustrate the relationship in the data or regarding the variables given.

In this case, the lonestar middle school picks out of 5 randomly selected students participate in the science fair.

When there are 800 students, the number of students picked will be:

= Fraction × Total students

= 2/5 × 800

= 320 students.

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The equation of the least squares regression line for the data set is: A. y = .81x + 12.25

A regression line simply refers to a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line refers to a line which best fits a set of data.

In this scenario, x₁ would be plotted on the x-axis of the scatter plot while y₁ would be plotted on the y-axis of the scatter plot.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:

y = 0.81x + 12.25

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Answer:

angle X =80°

angle V = 30°

Answer:

B

Step-by-step explanation:

Always start on the x axis and then the y axis.

The scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.

A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less. So, we utilise scientific notation to clearly describe extremely large or extremely small integers.

Given:

6E 5 petabytes

Now, we have to write the above number in scientific notation.

Now, the E generally represents the exponents raise to some power.

6E 5 petabytes

= 6 x [tex]10^5[/tex] petabytes

Hence, in scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.

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Answer:

n^3 + 15v^2 + 64

Step-by-step explanation:

Hope this helps

Answer:

n^3 + 15v^2 + 64

Step-by-step explanation:

This is the correct answer I believe

Answer:

t = -1

Step-by-step explanation:

  Distribute (-2) to each term of (t + 4) in the RHS

10t + 4 - 2t = 2 - 2(t + 4)

10t - 2t + 4 = 2 - 2 *t - 2*4

10t - 2t + 4 = 2 - 8 - 2t

Combine the like terms in the LHS and RHS,

        8t + 4 = - 6 - 2t

Subtract 4 from both sides,

        8t      = -6 - 2t - 4

            8t  = -10 - 2t

Add 2t to both sides,

         8t + 2t = -10

           10t    = -10

                 t = -10 ÷ 10

                 [tex]\sf \boxed{t =-1}[/tex]

The characteristics of a frequency table in statistics are:

(A) Data is tabulated in a frequency table to show how frequently each score occurs.

(B) A frequency table can be used to study the data and its behavior.

(C) Based on frequency, a frequency table divides the data into various groups.

A frequency distribution is a list or table that displays the frequency of different outcomes in a sample. It can also be a graph.

The frequency or count of the values as well as their occurrences within a specific group or interval are shown in the frequency table.

If there are groups, the frequency of occurrence should be in a group of 5.

The number of tallies should be able to be equated to the sum of frequencies, which is determined by the sample size.

The statements that are the characteristics of a frequency table are (A), (B), and (D).

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Answer:

12i

Step-by-step explanation:

√-144 = 12i

12i × 12i = -144

We were told that Desiree has $256 in her savings account she adds X dollars in her savings account on Friday. Thus, the expression for the amount of money in Desiree's account is

256 + x

if x equals $50.25, then the amount of money in her account is expressed as

256 + 50.25

= $306.25

Answer:

7 hours

Step-by-step explanation:

Subtract 30 minutes from 4:30 because he had half an hour break at lunch.

9:00 AM to 4:00 PM = 7 Hours

Answer: 21 hours is the answer.

Step-by-step explanation:

9:00 AM to 4:30 PM is 7 hours and 30 minutes so If he gets a half hour off each day for lunch that would leave 7 hours therefore, he works 7 hours a day which would mean: 7 times 3 = 21 hours so he works 21 hours each day.

The value of the first term is - 8.

Given that:-

Sum of the first 26 terms for an arithmetic sequence = 1417.

Sum of the first 8 terms for the same arithmetic sequence = 76.

We have to find the value of the first term.

We know that,

Sum of first n terms of an AP is given by:-

S(n) = (n/2)(2a + (n - 1)d)

Where,

n is the number of terms,

a is the first term and,

d is the common difference.

Hence,

S(26) = 1417 =  (26/2)(2a + (26 - 1)d) = 13(2a + 25d) = 26a + 325d

S(8) = 76 = (8/2)(2a + (8 - 1)d) = 4(2a + 7d) = 8a + 28d

Here we have two equations:-

26a + 325d = 1417  ...(1)

8a + 28d = 76  ....(2)

Multiplying (1) by 4 and (2) by 13 , we get

104a + 1300d = 5668

104a + 364d = 988

Subtracting and eliminating a , we get,

936d = 4680

d = 4680/936 = 5

Substituting d = 5 in (2), we get

8a + 28(5) = 76

8a + 140 = 76

8a = 76 - 140

8a = -64

a = -64/8 = -8

Hence, the first term is -8.

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Answer:

[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]

Step-by-step explanation:

Find the total area of the shape   [tex](5x+6)(3x)[/tex]

And subtract the non-shaded area [tex](4x-3)(2)[/tex]

To get this equation:

[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]

Answer:

55.00

Step-by-step explanation:

basically I subtracted 84.25 from 75.49 and I got 8.76. So I too kthat answer and subtracted 8.76 from 63.76. So the answer is 55.00

The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.

As per the question statement, coordinates of points A, B, C, D and E are given as follow:

A(-2,3), B(4,0), C(-3, 1), D(-5, 2) and E(-3, 1).

The parallelogram's area is the product of its base and height.

Base can be calculated using distance formula in points A and E

AE = √[(-3+2)^2 + (1-3)^2]

AE = √[(-1)^2 + (-2)^2]

AE = √[1+4]

AE = √5 units

Height can be calculated using the distance formula in points A and B

AB = √[(4+2)^2 + (0-3)^2]

AB = √[(6)^2 + (-3)^2]
AB = √[36 + 9]

AB = √45 units

Hence area of parallelogram = AB * AE

Area = √45*√5

Area = √225

Area = 15 sq units.

Hence, The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.

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Considering the volume of the pyramid, the length x is given as follows:

x = 6 cm.

The volume of a pyramid is given by the multiplication of one third of the base area Ab and the height h, as follows:

V = 1/3 x Ab x h.

In the context of this problem, the base is a right triangle with two equal sides x, hence the base area is:

Ab = 0.5(x)(x) = 0.5x².

The height is given by segment AD, hence:

AD = 2AB = 2x.

The volume is of 72 cm³, hence we can solve for the length x as follows:

V = 1/3 x Ab x h.

72 = 1/3(0.5x²)(2x)

x³ = 72 x 3

x³ = 216

x = cubic root of 216

x = 6.

Hence the missing side length is of x = 6 cm.

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