Convert this percent to a decimal.

268.7%

The surface area of the rectangular prism figure is S = 838 cm²

Given data ,

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

So, the value of S is given by

The heights of the prism is represented as 7cm.

S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )

On simplifying the equation , we get

S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60

S = 838 cm²

Therefore , the value of S is 838 cm²

Hence , the surface area is S = 838 cm²

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Answer:

142.

Step-by-step explanation:

=12×71/3×2

=852/6

=142

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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The equation relating x, y, and z in this scenario is 1x + 2y + 2z = 134, where x represents the hours to build an archtop guitar, y represents the hours to build an electric guitar, and z represents the hours to build an acoustic guitar.

Let's break down the information provided. Ted builds 1 archtop guitar per month, which takes x hours. He builds 2 acoustic guitars per month, each taking 2 hours, so the total time spent on acoustic guitars is 2z hours. He builds 3 electric guitars per month, each taking y hours, so the total time spent on electric guitars is 3y hours. Adding up the hours spent on each type of guitar gives us the total time Ted spends building guitars, which is 134 hours per month.

Therefore, the equation can be written as 1x (for the archtop) + 2y (for the electric) + 2z (for the acoustic) = 134. This equation represents the relationship between the hours required to build each type of guitar and the total time Ted spends on guitar building per month. By solving this equation, we can find the values of x, y, and z that satisfy Ted's total work hours of 134 per month.

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Answer:

B. 1335

Step-by-step explanation:

The formula for the volume of a cylinder is V = base x height = pi x r^2 (area of circle) x height.

r (radius) = 1/2 diameter = 1/2(10ft) = 5 ft

height = 17ft

area of the base = pi x (5 feet)^2 = (25 x pi) ft^2

putting all together, V = (25 x pi)ft^2 x 17 feet = 1335.177 ft^3

But if you don't have a calculator, just remember that pi is around 3.14. Using 3.14 as pi gives 1334.5, so also close enough.

Answer:i think its 3/4

Step-by-step explanation:

Answer:

im pretty sure it is 3/4

Step-by-step explanation:

This represents adding 17 to the additive inverse of 19. By doing so, we effectively subtract 19 from 17.

To rewrite the subtraction expression "17 - 19" using addition without changing the digits, we can use the concept of additive inverse. The additive inverse of a number is the number that, when added to the original number, yields zero.

In this case, we want to rewrite the expression "17 - 19" using addition. We can think of it as finding the additive inverse of 19 and adding it to 17.

An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero. Suppose, a is the original number, then its additive inverse will be minus of a i.e.,-a, such that; a+(-a) = a – a = 0.

The additive inverse of 19 is -19, since 19 + (-19) equals zero. Therefore, we can rewrite the subtraction expression as follows:

17 + (-19)

This represents adding 17 to the additive inverse of 19. By doing so, we effectively subtract 19 from 17.

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The subtraction expression 17 - 19 can be rewritten as an addition expression as 17 + (-19) using the concept of negative numbers.

In mathematics, subtraction can be rewritten as addition by using the concept of negative numbers. The subtraction expression 17 - 19 can be rewritten as an addition expression, without changing the digits, by considering -19 as a negative number to be added. Hence, 17 - 19 can be rewritten as 17 + (-19).

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Answer:

No

Step-by-step explanation:

Because the last point of the table has the coordinates (4;3), while the last point in the graph has the coordinates (4;4). They do not represent the same graph, cuz one of their points is different

Step-by-step explanation:

\(5(m - 6) = 5(7m = 6)\)

\(5m - 30 = 35m - 30\)

\(5m = 35m\)

\(30m = 0\)

\(m = 0\)

Answer:Range, because it measures the difference between the highest and lowest values in a datase........

Step-by-step explanation:

The median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.

The measure of center that should be used to determine which location typically has the cooler temperature is the Median, because Beach Town is skewed.

The median is a measure of center that represents the middle value of a data set when it is arranged in ascending or descending order. When comparing the two histograms, Sunny Town's data is symmetric, meaning that it has roughly equal frequencies on both sides of the center. In this case, the median could be a good representation of the typical temperature in Sunny Town.

However, Beach Town's data is skewed, meaning that it is not symmetrical and has a longer tail on one side of the center. This indicates that there are more occurrences of higher temperatures in Beach Town compared to Sunny Town. In skewed data, the mean can be affected by extreme values, making it less reliable as a measure of center. The median, on the other hand, is less influenced by extreme values and can give a better indication of the typical temperature in Beach Town.

Therefore, the median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.

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Answer:

Any number powered to zero, the answer to the equation will be 1

Answer:

Uhh i dont rly know sry

Step-by-step explanation:

Answer:

(i) From 0 to 50.

(ii) From 3 to 5.

(iii) From 3R to 5R, where R=3,4,5,...

Step-by-step explanation:

Let N be the number of players in a team.

As each team can have numbers of player ranging from 3 to 5, so

\(3\leqN\leq5\cdots(i)\)

Let P be the points scored by one player in one round of the game.

As each player can score up to 10 points in each round of the game, so

\(0\leq P \leq 10\cdots(ii)\)

(1) There are 5 members in the team formed by Elena.

So, points earned by 5 players in 1 round = 5P

From equation (ii), the range is

\(0\leq 5P \leq 50\)

Hence, the points earned by Elena's team is ranging from 0 to 50.

(2) If each played misses 1 point, then,

Points earned by 1 player in 1 round = 10-1=9

Hence, points earned by 5 players in 1 round = 9x5=45.

(3) Let R (an integer) denoted the number of teams.

As there are at least 3 teams in the game, so

\(R\geq3\cdots(iii)\)

As the number of players in one team is N, so

the number of players in R team is NR, where R=3,4,5,...

Now, from equation (i)

\(3R\leqNR\leq5R\)

Hence, if there are at least 3 teams, then the number of players is ranging from 3R to 5R.

For R=3, the number of players in the game is ranging from 3x3=9 to 5x3=15.

Answer:

-17

Step-by-step explanation:

-1 + (-16) =

-1 - 16 =

- (1 + 16) = -17

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Answer:

x = -12

Step-by-step explanation:

Let x be the number.

The product of 5 and x increased by 9 is equal to 15 less than 3 times x.

5x + 9 = 3x - 15.

We can isolate x, getting (5-3)x = -15-9

Then we can solve:

2x = -24

x = -12.

The required number is -12.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The product of five and a number, increased by 9 is equal to fifteen less than three times then number.

Let x be the number.

Establishing the equation,

5x + 9 = 3x - 15.

(5-3)x = -15-9

Then we can solve:

2x = -24

x = -12.

Hence, the number is -12

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Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

Answer:

640

Step-by-step explanation:

=32-0.05W

We move all terms to the left:

-(32-0.05W)=0

We add all the numbers together, and all the variables

-(-0.05W+32)=0

We get rid of parentheses

0.05W-32=0

We move all terms containing W to the left, all other terms to the right

0.05W=32

W=32/0.05

W=640

Answer:

1/2000

Step-by-step explanation:

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + y^2 = 21^2

16 + y^2 = 441

y^2 = 441 - 16

y^2 = 425

\(y = \sqrt{425}\)

\(y = 5\sqrt{17}\)

y = 13.2

a^2 + b^2 = c^2

4^2 + x^2 = 7^2

16 + x^2 = 49

x^2 = 40 - 16

x^2 = 33

x = \(\sqrt{33}\)

x = 5.7 m

Answer:

7.9230

Step-by-step explanation:

Combine like terms

115 = 13x+12

103 = 13x

7.9230 = x

Hope that helps

Answer:

x= -1/51

Step-by-step explanation:

The best estimate of this amount of water is \(3*10^{7}\).

Given:

At an elevation of 1221. 4 feet, lake mead will hold 28,945,000 acre-feet of water.

So, the amount of water that is in the lake will be 28,945,000 acre-feet which is estimated to be 30000000 acre-feet of water.

Because the nearest estimate to 28945000 is 30000000.

= 30000000

= 300000*\(10^{2}\)

= 30000*\(10^{3}\)

= 3000*\(10^{4}\)

= 3*\(10^{3} *10^{4}\)

= 3*\(10^{7}\)

Therefore The best estimate of this amount of water is \(3*10^{7}\).

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The diameter of a hemisphere with a volume of 863 in^3 is 40.596 in.

In the given question we have to find the diameter of a hemisphere with a volume of 863 in^3.

As we know that the volume of hemisphere is (2/3)πr^3 cubic unit.

The given volume of hemisphere is 863 in^3.

Now we firstly finding the radius of hemisphere then we find the diameter of hemisphere

The volume of hemisphere = 863 in^3

(2/3)πr^3 = 863

We know that; π = 22/7

(2/3) * (22/7) *r^3 = 863

44/21 * r^3 = 863

Multiply by 21/44 on both side, we get

r^3 = 863*21/44

r^3 = 411.89

r^3 = 412 (approx)

Taking cube root on both side, we get

r = 20.298

Now finding the diameter,

Diameter = 2*radius

Diameter = 2*20.298

Diameter = 40.596 in

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Answer:

2

Step-by-step explanation:

substitute n=1 and n=3 in the given equation

1 st term is (1)^2-1-2 = 1 -1 -2 = -2

3rd term is (3)^2-3-2 = 9-3-2=4

sum of 1st and 3rd term is -2 + 4 = 2

The one-group posttest-only design is most susceptible to the threat of selection effects. The correct option is selection effects.

Selection effects occur when there is a systematic bias in the selection of participants, leading to non-equivalent groups. In this design, there is only one group receiving the treatment, and the lack of a control group makes it difficult to establish a baseline for comparison.

Without a control group, it becomes challenging to determine if any observed changes or outcomes are solely due to the treatment or if they could be influenced by other factors.

The absence of a control group also hinders the ability to assess the direction and magnitude of the treatment effect.

Other threats to internal validity, such as instrumentation, regression to the mean, maturation, and design confounds, can still exist in the one-group posttest-only design.

However, selection effects pose a particularly significant concern as they directly impact the validity of the treatment effect inference.

To address this limitation, researchers often employ alternative designs, such as pretest-posttest control group designs or randomized controlled trials, which involve random assignment of participants to treatment and control groups.

These designs help mitigate selection effects and provide stronger evidence for causal inferences.

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\(\boxed{275.67+3(16.32)+24.39+27.40x \leq 560}\\\\27.40x +349.02 \leq 560\\\\27.40x \leq 210.98\\\\x \leq 7.7\)

Rounding down yields \(\boxed{x \leq 7}\).

Answer:

Step-by-step explanation:

560

Answer:

the Ans is 3.4

Step-by-step explanation:

8(3x - 7) = -6(x + 7) + 4

24 x – 56 = -6x - 42 + 4

24x - 56 = -6x + 46

30 x = 102

X=3.4

Answer:

121; 122

Step-by-step explanation:

x

x+1

3x-2(x+1) = 119

3x-2x-2 = 119

x = 119 +2

x = 121

x+1 = 122

Answer:

x=6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Answer:

f(x): 3x^2 - 14, x^2, 2x^2 - 7x + 5

f(-4): 34, 16, 65

f(6): 94, 36, 35

Step-by-step explanation:

Plug the values into each respective function.