Which figure has a greater volume, and how much greater is it?
361
Figure 1
Figure 2
The volume of figure 1 is 97213 greater than the volume of figure 2.
The volume of figure 2 is 9721? greater than the volume of figure 1.
The volume of figure 1 is 1.134 ft greater than the volume of figure 2.
The volume of figure 2 is 1.134f greater than the volume of figure 1.
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Answer:

1,000,000,000 as a power of 10, is: 10^12

Step-by-step Solution:

We can expand 1,000,000,000, and write this number as a multiplication sentence using only the number 10. By doing this, we can count the number of tens needed to be multiplied to get to his answer:

1,000,000,000 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10  

Since 10 is multiplied by itself 12 times, we can therefore say that 10^12 is equal to 1,000,000,000

Answer:

10^12 (10 to the 12th power)

Step-by-step explanation:

10 to the twelth power would basically be 10x10x10x10x10x10x10x10x10x10x10x10

This equals 1,000,000,000,000, which is one trillion.

Answer:

2

Step-by-step explanation:

Since the 3's are the same on either side, you need to find a number that, when multiplied by 9, yields 18. The only number that satisfies that is 2, which is the answer. Hope this helps!

Answer:  (3,4)

This is what I had wrote, sorry if I'm wrong.

A set of data will not always have a mode.

A mode is defined as the value that appears the most often in a set.

For instance, a set of 1, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6 would have a mode of 4, as it appears more often than any other number in the set.

However, a set of 1, 2, 3, 4, 5, 6 has no mode as there is no number that appears more than other numbers in the set.

Answer:

C = 12 pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

36 pi = pi r^2

Divide each side by pi

36 = r^2

Take the square root of each side

sqrt(36) = sqrt (r^2)

6 =r

We can find the circumference

C = 2 * pi *r

C = 2* pi *6

C = 12 pi

Answer:

first option

Step-by-step explanation:

Answer:

<ADC = 131

Step-by-step explanation:

< ADC = <ADB + < BDC

The large angle is the sum of the two smaller angles.

<ADC = 89+42

          =131

Answer:

131 degrees

Step-by-step explanation:

The reason for, is since <ADC is equal to < ADB + <BDC and that we already know the values of <ADB and <BDC, we can simply do

89 + 42 = 131.

So, <ADC is 131 degrees.

:)

Answer:

m<A = 20

Step-by-step explanation:

6y plus 3y = 9y

180 divided by 9 = 20

20x6=120

20x2=40

120+40=160

a triangle is equal to 180 so..

180-160=20

i did 6y + 3y because that line is 180 degrees ( half of a circle)

Answer:

Below.

Step-by-step explanation:

The y-intercept of the graph is at (0, 8)

Plugging in x = 0 we get  y = -4/3 * 0 + 8 = 8.

So we can mark 2 points on the graph paper.

One is at (0, 8).

If we let x = 3 then y = -4/3 * 3 + 8

y = -4 + 8

y = 4.

So our second point is at (3, 4)

We draw a line through these 2 points to get our graph.

Answer:

second option

Step-by-step explanation:

Given

x² - 6x - 33 = 0 ( add 33 to both sides )

x² - 6x = 33

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = 33 + 9

(x - 3)² = 42 → second option

Answer:

Step 4

Step-by-step explanation:

Tasha was correct in all the steps leading up to the fourth one. However, in the fourth step was where she messed up.

She said that: [tex]\frac{1}{256} =-\frac{1}{4^{-4}}=4^{-4}[/tex]

However, when we have a negative exponent, in order to get rid of the negative, we simply take the reciprocal of the number and then make the exponent positive. Here, the answer should be:

[tex]\frac{1}{256} =\frac{1}{4^{4}}=4^{-4}[/tex]

Answer:

Step 4

Step-by-step explanation:

1/256 = 4^-4 or 1/4⁴

Answer:

(x + y)(x² - xy + y²)(x + 1)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] + xy³ + x³ + y³ ( factor out x from the first 2 terms )

= x(x³ + y³) + 1(x³ + y³) ← factor out (x³ + y³) from each term

= (x³ + y³)(x + 1)

x³ + y³ is a sum of cubes and factors as (x + y)(x² - xy + y²)

Thus

[tex]x^{4}[/tex] + xy³ + x³ + y³ = (x + y)(x² - xy + y²)(x + 1)

Answer:

See below in bold.

Step-by-step explanation:

(x - 1)(x^2 + 1)

= x(x^2 + 1) - 1(x^2 + 1)

= x^3 + x - x^2 - 1

= x^3 - x^2 - x - 1.

Leading coefficient = 1.

Constant term = -1.

Degree = 3.   (because of the x^3).

If the algebraic expression is (x - 1)(x² + 1). The leading coefficient is 1, the constant term is -1 and the degree is 3. Option A is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is,

(x - 1)(x² + 1)

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

=(x - 1)(x²+ 1)

= x(x² + 1) - 1(x² + 1)

= x³ + x - x² - 1

= x³ - x² - x - 1.

From the expression the obtained result is,

Leading coefficient = 1

Constant term: -1

Degree: 3

Thus, if the algebraic expression is (x - 1)(x² + 1). The leading coefficient is 1, the constant term is -1 and the degree is 3. Option A is correct.

Learn more about the expression here:

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Answer:

+30 + -25

Savings is positive

Buying is negative

Step-by-step explanation:

We save 30 dollars

+30

We buy a game for 25

-25

+30 -25

Savings is positive

Buying is negative

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point [tex](15,0)[/tex]:

[tex]15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0[/tex]

So, (15, 0) satisfies all the inequalities

For point [tex](7.5,7.5)[/tex]:

[tex]7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0[/tex]

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

[tex]22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\[/tex]

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in [tex]s\geq 15-t[/tex]

[tex]7.5\geq 15-0=15[/tex] which is false

So, [tex](s,t)\neq (7.5,0)[/tex]

Answer:

D.

Step-by-step explanation:

Answer:

J'(2, 1)

K'(0, 3)

Step-by-step explanation:

On a coordinate plane, coordinates of the points J, K and L are (-2, 1), (0, 3) and (2, -1) respectively.

If we reflect these points over the line x = 0 or y-axis, rule to be followed is

(x, y) → (-x, y)

Only sign of x coordinates get changed while y coordinates remain the same.

Following this rule coordinates of the images of J' and K' will be

J(-2, 1) → J'(2, 1)

and K(0, 3) → K'(0, 3)

Answer:

j = 2, 1

k = 0, 3

Step-by-step explanation:

i got it right on edg

Answer:

[tex]x=7[/tex]

[tex]y=3[/tex]

Step-by-step explanation:

Considering the system of equations:

[tex]$\left \{ {{-2x + 3y = -5} \atop {2x + 4y = 26}} \right. $[/tex]

[tex]$\left \{ {{ 3y = -5} \atop {4y = 26}} \right. $[/tex]

[tex]7y=21\\y=3[/tex]

[tex]2x + 4(3) = 26\\2x + 12 = 26\\2x=14\\x=7[/tex]

Answer:

D. more than 102

E. between 90 and 102 messages

F. less than 78

Step-by-step explanation:

The median number of texts is 90, with approximately 25 students sending fewer than 78 texts (Q1) and 25 sending more than 102 texts (Q3) per day.

For a sample of 100 students, the median number of text messages sent per day is 90, the first quartile (Q1) is 78, and the third quartile (Q3) is 102. This implies that approximately 25 students in the sample send fewer than 78 text messages per day (since Q1 marks the 25th percentile) and approximately another 25 students send more than 102 text messages per day (since Q3 marks the 75th percentile). Hence, the interquartile range (IQR), which measures the middle 50% of the data, is the difference between the third and first quartiles, which is 102 - 78 = 24 messages.

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Answer:

A = 3

B = -7

C = -12

Step-by-step explanation:

3x^2−7x=12.

The standard form for a quadratic equation is

Ax^2 +Bx +C =0

Subtract 12 from each side

3x^2−7x-12=12-12

3x^2−7x-12=0

A = 3

B = -7

C = -12

Answer:

a = 3

b = -7

c = -12

Step-by-step explanation:

General form of a quadratic:

ax² + bx + c

Given:

3x² − 7x = 12

3x² - 7x - 12 = 0

Comparing the two:

a = 3

b = -7

c = -12

Answer:

7.38

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer: 16384

Step-by-step explanation:

The 15th term of the geometric sequence 4,-8, 16, -32, 64... is 131072. The term is obtained by using the formula for the nth term of a geometric sequence.

The sequence given is a geometric sequence. This means every term is obtained by multiplying the previous term by a constant. In this case, the constant is -2 (since -8 = 4*-2, 16 = -8*-2, -32 = 16*-2, etc).

The formula for the nth term of a geometric sequence is a*r^(n-1), where a is the first term, r is the ratio (constant), and n is the position of the term in the sequence. In this case, the first term a is 4 and the ratio r is -2. Substituting these values and n=15 into the formula, we get the 15th term as 4*(-2)^(15-1) = 131072.

Therefore, the 15th term of the sequence 4,-8, 16, -32, 64... is 131072. This can be found by applying the formula for the nth term of a geometric sequence and substituting the given values.

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Answer:

Ernie has a greater range

The statement "the medians are equal" is true for the given table of data about playing a game by Ernie and Lori. This is obtained by calculating the mean, median, mode, and range of the data elements of each.

Given data sets for Ernie and Lori as follows:

Ernie: {18, 24, 17, 19, 17} and Lori: {16, 22, 18, 14, 18}

The number of elements in both the data sets is equal and it is 5

Calculating Mean:

For Ernie: {18, 24, 17, 19, 17}

Mean=(18+24+17+19+17)/2

        =19

For Lori: {16, 22, 18, 14, 18}

Mean=(16+22+18+14+18)/2

        =17.6

Thus, their "means are not equal". (3rd statement is false)

Calculating Median:

For Ernie: {18, 24, 17, 19, 17}

Re-arranging the data - 17, 17, 18, 19, 24

Since n=5 (odd), then the median is at (5+1)/2 th term i.e., 3rd term

So, the median is 18

For Lori: {16, 22, 18, 14, 18}

Re-arranging the data - 14, 16, 18, 18, 22

Since n=5 (odd), then the median is at (5+1)/2 th term i.e., 3rd term

So, the median is 18

Thus, their "medians are equal". (first statement is true)

Calculating Mode:

The most occurring number in Ernie: {18, 24, 17, 19, 17} is 17 and

The most occurring number in Lori: {16, 22, 18, 14, 18} is 18

Thus, their modes are not equal, and "Lori has the greater mode".

(4th statement is false)

Calculating Range:

The range for Ernie's data set is 24 - 17=7

The range for Lori's data set is 22 - 14=8

Thus, their ranges are also not equal but "Lori has the greater range".

(2nd statement is false).

Therefore, 1st statement - " the medians are equal" is true.

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Answer:

9

Step-by-step explanation:

Composite Numbers before 10: 4, 6, 8, and 9

The only one of those 4 that is NOT a multiple of 2: 9

The number being referred to in the question is 9. It is less than 10, not a multiple of 2, and is a composite number, as it has factors other than 1 and itself.

The question is asking for a number which is less than 10 and is not a multiple of 2, but is a composite number. In mathematics, a composite number is a positive integer that has at least one positive integer divisor other than one or itself. If we look at the numbers less than 10 which are not multiples of 2, we are left with the numbers 1, 3, 5, 7, and 9. Out of these, the only composite number is 9, because it could be divided evenly by 3 and 1 apart from itself. Therefore, the number you are referring to is 9.

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In order to find the area of composite figures and trapezoids, you should decompose the figure into simple shapes, calculate each of their areas, and then sum these areas up. For trapezoids, use the formula 1/2 (sum of the bases) x height.

The question provides a complex description of a figure, but it seems this is a mathematical problem dealing with areas of trapezoids and composite figures. It can be inferred that you need to maneuver pieces to cover the shaded area of a figure. Here's a general way to approach it:

For the trapezoids, remember that the area of a trapezoid is given by 1/2 (sum of the bases) x (height).

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Answer:

i think it would be 28.26

Step-by-step explanation:

because C=2 pie r and D=2 r (solving for C=pie d =pie . 9 = 28.27433 then just round and thats how you get 28.27 (sorry if its confusing) (im not good at explaining but i am smart)

Answer:

A) 39.6 divided by 8.25 is true.

Answer:

D

Step-by-step explanation:

Got it right on test

Answer:

A) Median: 7

Mode: 8

Range: 5

B) Tyler is wrong, the greater the MAD value, the greater the variability

Step-by-step explanation:

A) Given the data set: 4,6,6,7,7,8,8,8,9

The median is 7 (the middle point in the ordered list)

The mode is 8 (the most repeated number)

The range is 5 (the difference between the highest and lowest values)

Answer:

Area =  

b1 + b2  ×h

2

=  

10 + 10  × 10

2

=  100 feet2

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

(0,1) (4,2)

m=(y2-y1)/(x2-x1)

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

m=1/4