Which equation has the correct sign on the product?
O A. (-11)9 = 99
B. (-12)(-12) = 144
C. 25(-5) = 125
D. 17.3 = -51

To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.

The original surface area of the rectangular prism is given by:

SA_original = 2lw + 2lh + 2wh

where l, w, and h represent the length, width, and height of the prism, respectively.

In this case, the dimensions of the original box are:

Length (l) = 3 ft

Width (w) = 6 ft

Height (h) = 5 ft

Substituting these values into the formula, we have:

SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)

            = 36 + 30 + 60

            = 126 square feet

Now, if we quadruple all the dimensions of the box, the new dimensions would be:

Length (l_new) = 4(3) = 12 ft

Width (w_new) = 4(6) = 24 ft

Height (h_new) = 4(5) = 20 ft

The new surface area of the enlarged box is given by:

SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)

       = 2(12)(24) + 2(12)(20) + 2(24)(20)

       = 576 + 480 + 960

       = 2016 square feet

Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.

Therefore, the correct answer is:

1. The new surface area would be 16 times the original surface area.

The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0

A linear model can be created using the data in the table given using a regression calculator or excel ;

The linear model obtained in the form y = m + bx is :

Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.

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The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

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Answer:

1/4

Step-by-step explanation:

There are 4 of u so 1/4

Answer:

1/8 of the pan of brownies

there are for of u but you are splitting half the pan not the whole pan so each person would get 1/8 of the pan of brownies

Answer:

if you want x it is 30 ........

Answer:

-3/0 is the slope....or just -3.

Step-by-step explanation:

slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.

The time taken to exhaust the money will be 33 days.

Total amount = 100

Let the number of days be represented by x.

Therefore, the appropriate expression will be:

(3 × x) = 100

3x = 100

Divide

x = 100/3

x = 33.33

Therefore the time taken will be 33 days.

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The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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One of the Possible values of length and width of the prism are 15 cm and 0.5 cm

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Given here: The volume of the prism is 2¹/₂=2.5 cm³

And the height is 1/3 cm

let the length and breadth of the prism is x and y respectively.

We know the volume of the prism as

1/3 × x×y=2.5

x×y=7.5

Thus possible values of length and breadth are the factors of 7.5

out of which one of the pair whose length is 15 cm and width 0.5 cm

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Answer:

7m^3

Hope you have a good day lad!

Answer:

Bb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Corresponding sides have same ratio:

Correct option is B

(-7/5) is the multiplicative inverse of the number - 5/7.

The answer to the question is (b/a), which is the multiplicative inverse of the fraction number that is (a/b).

So, according to the question:

The reciprocal of (-5/7) is (-7/5).

As a result, (-7/5) is the right response to a multiplicative inverse.

The reciprocal of the supplied integer can be used to establish a number's multiplicative inverse. The denominator must not be 0 in order for a multiplicative inverse to exist. And the result of the multiplication should be 1.

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Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12

(26) The length FE in the intersecting chords is 6.

(27) The length of arc AE =  64⁰.

We know that,

The length FE is computed using the intersecting chord theorem, as shown below;

The power of a point theorem, commonly known as the intersecting chord theorem, says that:

If two chords of a circle cross inside the circle, the product of the lengths of one chord's segments equals the product of the lengths of the other chord's segments.

FE ≅ AB = 6

The length of the arc AE is computed as follows:

⇒ arc of AE + arc of AB + arc of ED = 180

Since sum of angles of a semi circle

⇒ arc of  AE + 58 + 58 = 180

⇒ arc of AE + 116 = 180

⇒ arc of AE = 64

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Step-by-step explanation:

Squares have equal lengths on all sides, so we already know that 46 ft applies to the entire square.

46 x 46 = 2116

We then subtract this from 3846, so

3846 square feet - 2116 square feet = 1730

Answer: 66%

Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.

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please give brainliest!

Given:

The zeros of degree 3 polynomial are -2, 3 , 6.

The coefficient of x² is -14.

Let the degree 3 polynomial be,

But given that, coefficient of x² is -14 so, multiply the above polynomial by 2.

Answer: The polynomial is,

Answer:

Step-by-step explanation:

I would say yes if you take another picture with lines and points graphed out it would be easier to see

Answer: 9/4

Step-by-step explanation: To make 2 1/4 an improper fraction, you have to take 2 and multiply it by 4 (which equals 8) and then add your product with the 1 (which came from 1/4) to get 9, therefore your answer would be 9/4.

Hope this helps!

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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The numbers can be a solution for the inequality 32+a>44 is 13 and 14.

If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.

Given that;

The inequality= 32+a>44

To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.

32 + a > 44

Subtract 32 from both sides:

a > 44 - 32

a > 12

This means that any number greater than 12 can be a solution to the inequality.

Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.

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It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

f(2) = 2*(2+1)/2 = 3

f(3) = 3*(3+1)/2 = 6

and so on.

\((\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}\)

Answer:

10.2

Step-by-step explanation:

Answer:

10.2

Step-by-step explanation:

cos = adj/hyp

cos22 = x/11

11 cos22 = 10.199

Answer:

Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

Step-by-step explanation:

Number of red socks = 2

Number of white socks = 6

Number of blue socks = 4

Total socks in drawer = 2+6+4 = 12

The formula used to calculate probability is: \(Probability=\frac{Number \ of \ favourable \ outcomes}{Total \ number \ of \ outcomes}\)

We are given you draw out a  sock, return it, and draw out a second sock.

We need to find the probability that the first sock is blue and the  second sock is red?

Using formula:

Probability that first sock is blue = 4/12 = 1/3 = 0.33

Probability that second sock is red = 2/12 = 1/6 = 0.16

So, Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

Answer:

9

Step-by-step explanation:

3x^2 + 3x - 9

Substitute x = 2 into the equation.

3(2)^2 + 3(2) - 9

3(4) + 6 - 9

12 + 6 - 9

18 - 9 =

9

Answer:

39,144,000 km

Step-by-step explanation:

Hi there!

Distance traveled = time * speed

Given speed: 233000 km/h

Given time: 7 days

It's important to note that our speed is given in per hours and out time is given in days. So in order to find how far the comet has traveled we must convert days to hours.

There are 24 hours in 1 day.

So to convert days to hours simply multiply amount of days by 24

24 * 7 = 168

So the comet has traveled for 168 hours

Now we can find distance traveled

Once again distance traveled = time * speed

Given speed is 233000 km/h

Given time is 168 hours

Distance = 168 * 233000 = 39,144,000

So the comet has traveled for a total distance of 39,144,000 km

Given the word problem, we can deduce the following information:

1. We use a 95% degree of confidence.

2. n=2000, x=300

To find the Margin of Error, we use the formula:

where:

ME= Margin of Error

p=sample proportion

n=sample size

z=z-value

We can get the sample proportion, p by using the formula:

where:

x=number of successes

So,

Since the degree of confidence is 95%, the z-value is 1.96 or z=1.96.

Next, we plug in z=1.96, p=0.15, and n=2000 into the Margin of Error formula:

Therefore, the Margin of Error is 0.0156.