find the length of the entire perimeter of the region inside r=15sinθr=15sinθ but outside r=4r=4.

Answer:

(2, 10)

Step-by-step explanation:

If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.

\(10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}\)

Hope this helps.

Answer:

three time plus four equals sixteen

Step-by-step explanation:

I think this is what you meant

The decimal form of 11/8 is 1.375 and is greater than 1.370.

A fraction written in a particular way is called a decimal. Instead of writing 1/2, for instance, you could write 0.5, where the zero is in the ones place and the five is in the tenths place. The word decimal is derived from the Latin word decimus, which means tenth, from the root word decem, or 10.

Decimal Form: We will express this as 1.5 pizzas in decimal form. Here, the dot stands in for the decimal point, the number before the dot, or "1," represents one whole pizza, and the number after the decimal point stands for the half pizza or fractional part.

Decimals are one of the number types in algebra that have a whole number and a fractional portion separated by a decimal point.

Using long division

8/-11 | -1.375

   -8

8/30

  -24

8/60

  -54

8/40

  -40

     0

Thus, decimal form of 11/8 is 1.375 and is greater than 1.370.

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The population proportion at the 300 people polled, 75 of them correctly identified the corgi, has a 95% confidence interval of [0.20,0.30].

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of values.

Here,

t-value of 95% confidence interval= 1.967

x/17=75/300

x=0.25

=p ± t√(p(1-p)/n)

=0.25±1.96(0.025)

=0.25±0.049

=[0.20,0.30]

The 95% confidence interval for the population proportion at the 300 surveyed 75 correctly identify the corgi will be [0.20,0.30].

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(a) The variable educ might be endogenous

(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation

a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.

The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.

b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.

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To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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The value 0.00000042 by the use of scientific notation hence we have the expression 4.2 x 10−7 in scientific notation.

The term scientific notation refers to the idea that was introduced in order to reduce the bulk of the figures that one has to work with. Thus, the use of scientific notation makes us to have less figures in a given value.

We need to express the value 0.00000042 by the use of scientific notation hence we have the expression 4.2 x 10−7 in scientific notation.

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Answer:

2991.5$

Step-by-step explanation:

59830times 5percent times 1 year gives as 2991.5$

The price of the car after paying the 6% sales tax is given as follows:

$17,930.43.

The price of the car is obtained applying the proportions in the context of the problem.

The initial price is of $18,795, with a discount of 10%, meaning that 90% of the price is paid, hence:

0.9 x 18795 = $16,915.5.

The sales tax of 6% means that the discounted amount has to be multiplied by 106% = 1.06, hence:

1.06 x 16915.5 = $17,930.43.

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The surface area of a cylinder can be found by adding the area of the top and bottom circles to the lateral area (the curved surface). The exact surface area of the cylinder is 10 pi square units.

The area of each circle is pi times the radius squared, so:

Area of top circle = pi * (5/4)^2 = 25/16 * pi

Area of bottom circle = pi * (5/4)^2 = 25/16 * pi

The lateral area is the height times the circumference of the circle, so:

Lateral area = height * circumference = (11/4) * (2 * pi * (5/4)) = 55/8 * pi

Adding these three areas together, we get:

Surface area = 2 * (25/16 * pi) + 55/8 * pi

Surface area = 50/16 * pi + 55/8 * pi

Surface area = 25/8 * pi + 55/8 * pi

Surface area = 80/8 * pi

Surface area = 10 * pi

Therefore, the exact surface area of the cylinder is 10 pi square units. None of the answer options provided matches this exact result, but the closest one is 19 3/8 pi cm sq.

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The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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There are 2.50 nickels and 10.50 dimes.

Given that, a woman has $13.00 in nickels and dimes in a coin bank.

We know that, Nickels are worth 5 cents. Dimes are worth 10 cents.

Let the number of nickels be n and the number of dimes be d.

Here,

n+d=13-------(i)

The number of dimes is 2 less than five times the number of nickels.

d=5n-2 -------(ii)

Substitute, equation (ii) in equation (i), we get

n+5n-2=13

6n=15

n=15/6

n= 2.50

Substitute n=2.50 in equation (ii), we get

d=10.50

Therefore, there are 2.50 nickels and 10.50 dimes.

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Answer:

24 increased by 6% = 25.44

Step-by-step explanation:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

6% = 6/100 = 6 ÷ 100 = 0.06.

100% = 100/100 = 100 ÷ 100 = 1.

ncrease the number by 6% of its value.

Percentage increase = 6% × 24

New value = 24 + Percentage increase

Calculate the New Value

New value =

24 + Percentage increase =

24 + (6% × 24) =

24 + 6% × 24 =

(1 + 6%) × 24 =

(100% + 6%) × 24 =

106% × 24 =

106 ÷ 100 × 24 =

106 × 24 ÷ 100 =

2,544 ÷ 100 =

25.44

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 24 =

25.44 - 24 =

1.44

Proof.

Calculate percentage increase...

... And see if we get as a result

the absolute change (actual difference).

Percentage increase =

6% × 24 =

6 ÷ 100 × 24 =

6 × 24 ÷ 100 =

144 ÷ 100 =

1.44

So we have proven that the calculations are correct.

For positive numbers

Absolute change (actual difference) =

Percentage increase

Answer:

24 increased by 6% = 25.44

Absolute change (actual difference):

25.44 - 24 = 1.44

Answer:

24,06

Step-by-step explanation:

\( \sf 24 + 6 \%\)

\( \sf = 24 + \frac{6}{100} \)

\( = \sf \frac{2400}{100} + \frac{6}{100} \)

\( \sf = \frac{2406}{100} \)

\( \sf 24, 06\)

a) 312b in binary is 0011 0000 0001 0010 1011.

b) 773 in binary is 0011 0000 0000 0101.

c) The two's complement value 1111 0011 is equivalent to -13 in decimal.

d) -985 in 16-bit two's complement binary format is 1111 1111 1100 0011.

e) The packed decimal 0011 0111 1001 0110 is equivalent to the decimal value 3936.

f) The decimal number 1024 in packed decimal binary format is 0001 0000 0010 0100.

a.To convert 312b to binary without using hexadecimal on the way, we can convert each digit to its binary representation and concatenate them together.

3 in binary is 0011

1 in binary is 0001

2 in binary is 0010

b in binary is 1011

Concatenating them together, we get:

0011 0000 0001 0010 1011

Therefore, 312b in binary is 0011 0000 0001 0010 1011.

b.To convert 773 to binary using hexadecimal on the way, we first need to convert 773 to its hexadecimal representation:

773 in hexadecimal is 0x305.

Then we can convert each hexadecimal digit to its binary representation:

0 in binary is 0000

x in binary is (not applicable)

3 in binary is 0011

0 in binary is 0000

5 in binary is 0101

Concatenating them together, we get:

0011 0000 0000 0101

Therefore, 773 in binary is 0011 0000 0000 0101.

c.To convert the two's complement value 1111 0011 to decimal, we first need to determine whether the value represents a negative number. We can do this by looking at the leftmost bit, which is 1 in this case. This means that the value is negative.

To convert from two's complement to decimal for a negative number, we need to perform the following steps:

Invert all the bits (i.e., change 1s to 0s and 0s to 1s).

Add 1 to the result of step 1.

Add a negative sign to the final result.

Inverting all the bits of 1111 0011, we get:

0000 1100

Adding 1 to this result, we get:

0000 1101

Finally, adding a negative sign to the decimal value of 0000 1101, we get:

-13

Therefore, the two's complement value 1111 0011 is equivalent to -13 in decimal.

d.To convert the decimal value -985 to a 16-bit two's complement binary number, we can follow these steps:

Convert the absolute value of the decimal number to binary.

If the decimal number is negative, invert all the bits of the binary number from step 1.

Add 1 to the result of step 2 if the decimal number is negative.

Pad the binary number with leading 0s to make it 16 bits long.

Converting the absolute value of -985 to binary, we get:

0000 0011 1100 1001

Since the decimal number is negative, we need to invert all the bits:

1111 1100 0011 0110

Then we add 1 to the result:

1111 1100 0011 0111

Finally, we pad the binary number with leading 0s to make it 16 bits long:

1111 1111 1100 0011

Therefore, -985 in 16-bit two's complement binary format is 1111 1111 1100 0011.

e.To convert the packed decimal 0011 0111 1001 0110 into its decimal equivalent, we can separate each nibble (4 bits) and convert them to their corresponding decimal values:

0 in decimal is 0

0 in decimal is 0

1 in decimal is 1

1 in decimal is 1

0 in decimal is

3 in decimal is 3

7 in decimal is 7

9 in decimal is 9

6 in decimal is 6

Then we concatenate the decimal values together, in the same order:

0011 0111 1001 0110 in decimal is 0111 3936

Therefore, the packed decimal 0011 0111 1001 0110 is equivalent to the decimal value 3936.

f.To convert the decimal number 1024 into its packed decimal binary equivalent, we can separate each decimal digit and convert it to its corresponding binary value. Since each decimal digit is represented by one nibble (4 bits), we will need four bits for each digit:

1 in binary is 0001

0 in binary is 0000

2 in binary is 0010

4 in binary is 0100

Concatenating them together, we get:

0001 0000 0010 0100

Therefore, the decimal number 1024 in packed decimal binary format is 0001 0000 0010 0100.

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The statement which best describes the relationship between the two variables is there is no association because the relative frequencies by column are similar.

Two-way table is a way to represent the data of the two or more variable.

To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

Amani computed in a two-way table the relative frequencies of sales of homes listed with two different real estate companies.

Home Sales by Real Estate Company

                        Sold in 100 Days or Less   Did Not Sell within 100 Days Company A                  44.5%                                 55.5%

Company B                  45.1%                                  54.9%

Association is found out, when there is significant difference between the data. The frequency of the homes sold in 100 Days or Less by company A is 44.5% and by company B is 45.1%. These values are almost equal.

In the table, the values of home did Not sell within 100 Days is also almost same for both the companies. Which suggest that there is no association.

Thus, the statement which best describes the relationship between the two variables is there is no association because the relative frequencies by column are similar.

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Answer:

D) There is no association because the relative frequencies by row are similar.

Step-by-step explanation:

got it right on edge 2022!

Answer:

1,800

Step-by-step explanation:

30 times 60 is what ? 1,800

The given statement in the form of inequality is given as -

c - 6 > 24.

An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"Six subtracted from c is greater than 24"

We can write the inequality as -

c - 6 > 24

Therefore, the given statement in the form of inequality is given as -

c - 6 > 24.

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{Question in english -

Six subtracted from c is greater than 24}

Answer:

120 * 0.90 = 108 km

Step-by-step explanation:

Answer:

108km

Step-by-step explanation:

a) The fraction of the total amount of empty storage space in first drive is equals to the 5/8.

The fraction of the total amount of empty storage space in second drive is equals to the 3/5.

b) Yes, he have enough space.

We have, Jake's computer has two hard drives. Both drives can store the same amount of data. Let the total rest amount of storage of first and second drive be "x" and "y".

a) Storage used by first drive = 3/8 of full

Total storage of first drive = 8/8

then the total amount of empty storage space, x

= full storage - used storage

= 1 - 3/8 = 5/8

Similarly, in case of second hard drive

amount of storage used by second drive = 2/5 of full storage

so, the amount of empty storage space, y

= 1 - 2/5 = 3/5

So, the empty storage for first and second drives are 5/8 and 3/5.

b) If total amount of storage data of each hard drive = 750 gb

Jake wishes to download 150 gigabytes of data. Now, total storge , 8/8 = 750 gb

so, used storage of first drive in gigabyte

= 3/8( 750)

= 2250/8 = 281.25 gigabyte

remaining empty space = 750 gb - 281.25

= 468 .75 gb

In case of second drive used storage= 2/5(750 gb) = 1500/5 = 300 gb

So, empty storage space = 750 gb - 300 gb = 250 gb

Hence, he have enough space.

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Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Answer:

1 . 4 hrs , 2 . total 400 miles because the first train had travelled 160 miles and 2nd one had travelled 240 miles

Step-by-step explanation:

in 1. use relative motion concept I. e. you sir on 1st train and put velo. of same mag. and in oppo. direction on the train on which you have sit and do the same with the velocity only with 2nd train means you stop the train on which you are sitting and put the velocity of the train on which you are sitting on 2nd train but in oppo. direction , so now the relative velocity comes out to be 20 mph and then apply formula time = Srel / Vrel and here we can find S rel by multiplying the velo. of 1st train by given time I. e. 2 hrs and in 2. multiply the time calculated by us by the velocity of both trains and by which you get the dist. travelled by both trains and then add them to get final answer.

Answer:

9/4.

Step-by-step explanation:

Hope this helps! =D

the answer is pyramid or cone

3^2 + 10^2 = 109

square root of 109 = 10.4403065089

Answer:

x=10.44

Step-by-step explanation:

10^2+3^2=x^2

100+9=x^2

109=x^2

10.44030651=x

The Taylor series for a function about x=0 is given by 2^k/3kx^k. We are supposed to find f5(0).The given Taylor series can be written as follows'(x) = ∑_k=0^∞▒(2^k)/(3k)x^k``f5(x) = (2^5)/(3×5)x^5``f5(0) = (2^5)/(3×5)×0^5 = 0`Therefore, f5(0) = 0. The work leading to this answer has been shown above.
To find f^(5)(0), we need to identify the term in the Taylor series that corresponds to the 5th derivative of the function evaluated at x=0. The general term in the Taylor series is given by:

(2^k / 3k) * x^k

We need to find the term where k = 5:

(2^5 / 3*5) * x^5 = (32 / 15) * x^5

Now, to find f^ (5)(0), we evaluate this term at x = 0:

(32 / 15) * 0^5 = 0

So, f^ (5)(0) = 0.

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Solution to given logarithmic equations and inequalities are;

x = 1

x = 9

x = 261

x = 10/3

x = 4

3x² - 2x - 1 = 0

x = 1 or x = -1/3

x = 13

x = 0

x = 0 or x = 5

1. 3x = log6 216

Using the definition of logarithm, we have:

\(6^{3x} = 216\)

\(6^{3x} = 6^3\)

3x = 3

x = 1

2. x - 4 = log3 243

Using the definition of logarithm, we have:

\(3^{x - 4} = 243\)

\(3^{x - 4} = 3^5\)

x - 4 = 5

x = 9

3. log4 (4x - 20) = 5

Using the definition of logarithm, we have:

4⁵ = 4x - 20

1024 = 4x - 20

4x = 1044

x = 261

4. log9 (3 - x) = log9(5x – 15)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3 - x = 5x - 15

20 = 6x

x = 10/3

5. log81 (x + 20) = log81 (6x)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x + 20 = 6x

20 = 5x

x = 4

6. log9 (3x²) = log9 (2x + 1)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3x² = 2x + 1

3x² - 2x - 1 = 0

7. Using the quadratic formula, we have:

x = (-(-2) ± √((-2)² - 4(3)(-1))) / (2(3))

x = (2 ± √(16)) / 6

x = (2 ± 4) / 6

x = 1 or x = -1/3

8. log4(x - 1) = log4(12)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x - 1 = 12

x = 13

9. log7(5 - x) = log7 (5)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

5 - x = 5

x = 0

10. logx (5x) = 2

Using the definition of logarithm, we have:

x² = 5x

x² - 5x = 0

x(x - 5) = 0

x = 0 or x = 5

Note that x = 0 is not a valid solution, since log 0 is undefined. Therefore, the only solution is x = 5.

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