What happens to the surface area of the following rectangular prism if the width is doubled?

1.The surface area is increased by 112 sq ft.

2.The surface area is increased by 160 sq. ft.

3.The surface area is increased by 144 sq ft.

4.The surface area is doubled.

the answer is:

Each equal length of ribbon is 5.25 ft

Step-by-step explanation:

21 divided by 4 is 5.25

To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.

Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.

Given length of ribbon = 21 foot

Number of parts it has to be divided = 4.

So, to get the length of each part divide the total length by 4.

Thus, the length of each part is 21/4 = 5.25 foot.

Hence,  the length Mrs. Wally' s each ribbon is 5.25 foot.

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Answer:

EASYYY   90°

Step-by-step explanation:

30 + 60 = 90

180-90=90

also

thats a right angle which is always 90°

ALSO

the angle opposite another angle is always the same measurement.

Answer:

145

.8x = 116 (80% of class is 116)

x=145

Step-by-step explanation:

Answer:

x=-10

Good Luck!!!

Answer:

C. 6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The term 2013 in this context refers to the amount invested.

Mathematically, in finance, we can express the amount to be recouped on an investment, having a particular rate of return over a couple of years using the general formula;

V = P(1+r)^t

Such as in the case of amount obtained in a compound interest formula

Where P is the present value or principal or amount invested

V is the future value

r is the rate of investment

with t being the time taken

sorry but i don't speak espanol. :/

To find h'(3) given h(x) = f(x) xg(x), we use the product rule of differentiation:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

We are not given the functions f(x) and g(x), but we can use the given graphs to estimate their values near x = 3. Let's say that f(3) = 2 and g(3) = 5. We also need to estimate f'(3) and g'(3) in order to calculate h'(3). We can estimate these values using the slopes of the tangent lines to the graphs at x = 3.

Let's say that the slope of the tangent line to the graph of f(x) at x = 3 is 1, and the slope of the tangent line to the graph of g(x) at x = 3 is 3. Then we have:

f'(3) ≈ 1

g'(3) ≈ 3

Substituting these values into the product rule for h'(x), we get:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

h'(3) = f'(3) 3 g(3) + f(3) g(3) + f(3) 3

h'(3) = (1)(3)(5) + (2)(5) + (2)(3)

h'(3) = 19

Therefore, h'(3) is approximately equal to 19, based on the given graphs and our estimates of f'(3) and g'(3).

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Answer:

-x² + 5x - 1

Step-by-step explanation:

separate the x², the x, and the constants (numbers without any x).

3x² - 4x² = -x²

2x - -3x = 2x + 3x = 5x

-5 - -4 = -5 + 4 = -1.

we have -x² + 5x - 1

the variable is categorical in nature and the values of the variable cannot be arranged in a ranked or specific order.

In this context, the variable is used to assign names or labels to different categories or groups, rather than representing quantitative measurements or values. The purpose of the variable is to classify or categorize the data into distinct groups or categories based on certain criteria or characteristics. The values assigned to the variable represent different labels or names for these categories, but they do not have a specific numerical order or ranking associated with them.

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The two vectors are indeed considered linearly dependent if they are collinear. So the given statement is true about two linear dependent vectors.

The set \(\{v_1, v_2,.....,v_k\}\) is considered as linearly dependent if numbers \(\{x_1, x_2, ....,x_k\}\)are not equal to zero. Then, \(x_1v_1+x_2v_2+.....+x_kv_k=0\). This equation is referred to as the equation of linear dependence or linear dependence relation.

When two vectors are collinear, or when one is a scalar multiple of the other, they are said to be linearly dependent. These collinear vectors are also referred to as parallel vectors and these vectors will lie along the same line or parallel line. The given statement is therefore true.

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Answer:

I'm not good with math lol

Answer:

A

Step-by-step explanation:

Hope this helps :)

Answer:

A

Step-by-step explanation:

Answer:

The initial speed is approximately 104.3 km

Step-by-step explanation:

Let Distance = 240 km

Time = ?

Speed =

Since

Speed = Distance/Time

Distance = Speed × Time

When arrival is late:

240 = S×T

When arrival is on time:

240 = (S+5)×T2

But 40minutes = 2/3 hours

So,

T2 = T - 2/3

240 = (S+5)×(T - 2/3)

240 = ST - 2S/3 + 5T - 10/3

ST - 2S/3 + 5T = 240 + 10/3

S(T - 2/3) + 5T = 730/3

S(T - 2/3) = 730/3 - 5T

S = (730/3 - 5T)/(T - 2/3)

But 240 = ST

S = 240/T

240/T = (730/3 - 5T)/(T - 2/3)

(T - 2/3)/T = (730/3 - 5T)/240

1 - 2/3T = 730/720 - 5T/240

1 + 73/72 = (2/3 + 5/24)T

145/72 = (7/8)T

T = 145/72 × 8/7

= 1160/504

T = 145/63

S = 240/S

= 240×63/145

= 3024/29

≈ 104.3km

Answer:

The gecko's function would be Y = 19x + 6

Step-by-step explanation:

Traveled for 6 minutes flat, so that is not moving
19 meters per minute, this rule is moving so it gets a variable
19 * 6 = 114 btw

We have shown that every integer in the form of 6n-1 has at least one prime factor congruent to 5 mod 6. This proof is valid for any integer n.

To show that every integer in the form of 6n-1 has at least one prime factor congruent to 5 mod 6, we can use proof by contradiction.

Assume that there exists an integer, say x, in the form of 6n-1 that does not have a prime factor congruent to 5 mod 6. Let's consider the prime factorization of x.

The prime factorization of x can be written as x = p1^a1 * p2^a2 * ... * pk^ak, where p1, p2, ..., pk are prime numbers and a1, a2, ..., ak are positive integers.

Since x is in the form of 6n-1, we can write x as x = 6n-1 = 2^a * 3^b - 1, where a and b are non-negative integers.

Now, let's consider the congruence of x mod 6:
x ≡ 2^a * 3^b - 1 ≡ (-1)^a * 1^b - 1 ≡ (-1)^a - 1 (mod 6)

We know that for any integer x, (-1)^x ≡ 1 (mod 6) if x is even, and (-1)^x ≡ -1 (mod 6) if x is odd.

Since x is in the form of 6n-1, a must be odd. Therefore, (-1)^a ≡ -1 (mod 6).

This means that x ≡ -1 - 1 ≡ -2 (mod 6). However, since we assumed that x does not have a prime factor congruent to 5 mod 6, this means that x cannot be congruent to -2 (mod 6), which is a contradiction.

Hence, our assumption was incorrect, and every integer in the form of 6n-1 must have at least one prime factor congruent to 5 mod 6.

In conclusion, we have shown that every integer in the form of 6n-1 has at least one prime factor congruent to 5 mod 6. This proof is valid for any integer n.

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Answer:

x= 68 degrees

Step-by-step explanation:

Answer:

30/34

Step-by-step explanation:

The area of the rectangular playground of 62.5ft length and 100ft breadth is 6250 square feet. In this case, the playground covers an area of 6250 square feet, which is a large space for children to play and have fun.

To find the area of the rectangular playground, we need to multiply the length by the width. The length of the playground is given as 100ft and the width is 62.5ft. Therefore, the area of the playground can be calculated as:

Area = Length x Width
Area = 100ft x 62.5ft
Area = 6250 square feet

So, the area of the rectangular playground is 6250 square feet. This means that the entire playground measures 100 feet in length and 62.5 feet in width. The area of a rectangular shape is always given in square units, which means that we are measuring the amount of space inside the shape. .

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Answer:

maths/hindi

Step-by-step explanation:

Answer:

False

Hope this helps and mark 5 stars and brainlliest please.

Step-by-step explanation:

Answer: false

Step-by-step explanation:

It’s 4:3 and not 4:7 because the 7 was never mentioned in the problem

Answer:

5(4t + 7)

Step-by-step explanation:

1) notice the 20 and 35 are both divisible by 5

2) factorise using 5

5(4t + 7)

The mean of the z scores after converting the pulse rates to z scores is 0, and the standard deviation of the z scores is 1. The units of the corresponding z scores are dimensionless.

The process of converting the pulse rates to z scores involves subtracting the mean and dividing by the standard deviation. This transformation standardizes the data and makes it comparable across different distributions. In the case of z scores, the mean is always 0, and the standard deviation is always 1. Therefore, the mean and standard deviation of the z scores in this scenario are 0 and 1, respectively.

Since z scores are calculated by subtracting the mean and dividing by the standard deviation, the resulting values are dimensionless. They represent the number of standard deviations away from the mean. Therefore, the units of the corresponding z scores are neither "beats per minute," "beats," nor "minutes per beat." They are simply numerical values without specific units.

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Answer:

x = 8

Step-by-step explanation:

Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.

16x-4 + 7x = 180, combine like terms

23x - 4 = 180, add 4 on both sides (isolate variable)

23x = 184, divide 23 on both sides

x = 8

For the given angle of 69°, its complement is calculated as 90° - 69° = 21°.

An angle's complement is the angle that, when combined with the given angle, adds up to 90°. In this case, the given angle is 69°, so its complement is 90° - 69° = 21°.

To answer this question, we need to understand the definition of an angle's complement. An angle's complement is the angle that, when added to the given angle, forms a right angle. A right angle is an angle that measures 90°.

Using this definition, we can answer the question. The given angle is 69°, so its complement is 90° - 69° = 21°.

We can visualize this by thinking of a triangle and labeling the angles. Let's say we label the given angle as angle A, and its complement as angle B.

Since angle A + angle B = 90°, and angle A is 69°, angle B must be 21°. Therefore, the measure of the given angle's complement is 21°.

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The coordinates of P(x, y) is: A. P(Negative StartRoot 21 EndRoot, –2)

Given:

Radians=3π/2

theta=-5/2

Hence:

Hypotenuse = - 5

Altitude = 2

Using  Pythagorean theorem

Hypotenuse² =  Altitude² + Base²

-5²= 2²  + Base²

25 ² - 4 ² = Base²

Base = √21

Thus P(x,y) :

= P(-√21 : -2)

Therefore the correct option is A.

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Answer:

410 is the outlier.

What is an outlier?

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal.

In simpler words, it is the number that is significantly bigger or smaller than the rest of the numbers, and 410 is it.

Step-by-step explanation:

Hope it helps! =D