Which equation can be used to solve for x, the increase in side length of the square in inches?

x2 + 4x – 81 = 0
x2 + 4x – 65 = 0
x2 + 8x – 65 = 0
x2 + 8x – 81 = 0

if the density of the metal cube is 2.3 x 10⁻³ kilograms/micro liters, 2968 cm. is the length of one side of a cube if the mass is 88 milligrams

The amount of digits that contribute to the correctness of a value—often a measurement—are known as significant figures. The first digit that is non-zero is where we begin counting significant figures.

The number of significant single digits (0 through 9 inclusive) in an expression's coefficient is referred to as the significant figures in scientific notation. The amount of accuracy or assurance an expert or scientist uses to state a quantity is indicated by the number of significant figures in a statement.

The given mass of the metal cube is 2.3 × 10⁻³kg/micro-liters or 2300000 gm/liter

The density of the metal cube is 88 mg or 0.088 gm.

Now, we know that density, d = mass/volume.

So, volume of the metal cube,

V = mass/density

V = (2300000/0.088)

V = 26136363.7 L

Now, we know that volume of a cube is a³ where a is the length of a side of the cube. So, a³ = 26136363.7 L or 26136363.7 dm³.

So, a = 296.8 dm or 2968 cm.

So, the length of one side of the cube is 2968 cm.

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Answer:

-5/2÷5/7

change to multiplication

-5/2×7/5

reduce the numbers of the greatest common factor of 5

-1/2×7

calculate the product

-1/2×7

the answer is -7/2

if I'm wrong sorry I used a math app to find the answer

Answer: 1 13/ 20

Step-by-step explanation:

first multiply 2 1/5 and 1 3/4 you will get 3 17/20then subtract from 3 17/20 - 2 1/5 you will get 1 13/20

Answer:

140%

Step-by-step explanation:

(24-10) / 10 = 14/10 = 140%

Answer:

140%

Step-by-step explanation:

A change from 10 to 24 represents a positive change (increase) to 140%.

Percent change = New-Old/Old x 100%

Percent change = 24-10/10 x 100% =

14/10 x 100 = 140% (increase)

Where 10 is the old value and 24 is the new value. In this case, we have a positive change (increase) of 140 percent because the new value is greater than the old value.

Therefore, Rolf's resultant displacement vector is at an angle of approximately 45.01 degrees (measured north-of-east).

To find the magnitude of the girl's resultant displacement, we can treat each direction (north, east, and south) as a vector component and use vector addition.

Given:

North: +7.49 blocks

East: +6.73 blocks

South: -2.54 blocks

To find the resultant displacement, we can sum up the vector components:

Resultant displacement = North displacement + East displacement + South displacement

Resultant displacement = 7.49 blocks + 6.73 blocks - 2.54 blocks

Resultant displacement = 11.68 blocks

Therefore, the magnitude of the girl's resultant displacement is 11.68 blocks.

Now, let's move on to Rolf's problem.

Given:

East: 353 m

North: 348 m

To find the angle of Rolf's resultant displacement, we can use trigonometry.

We can create a right-angled triangle with the east and north displacements as the legs. The angle we want to find is the angle measured north-of-east.

Using the tangent function, the angle can be calculated as:

Angle = arctan(North displacement / East displacement)

Angle = arctan(348 m / 353 m)

Angle ≈ 45.01 degrees (rounded to two decimal places)

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Answer:

yo

Step-by-step explanation:

Answer:

71.55

Step-by-step explanation:

a2 + b2 = c2

c=square route (a2+b2)

In 1320 ways can a president, vice-president, and secretary be chosen from a club with 12 members. Number of ways can be calculated by using permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

A permutation is a mathematical procedure that counts all possible arrangements of a given set in which the arrangement's order matters.

President can be choose in 12 ways

Vice-president can be choose in 11 ways

Secretary can be choose in 10 ways

Total number of ways = 12 ×11×10=1320

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An observation that causes the values of the slope and the intercept in the line of best fit to be considerably different from what they would be if the observation were removed from the data set is said to be an outlier.

An outlier is an observation that is significantly different from other observations in a dataset. It is a data point that is located far away from the other data points, and it may have a disproportionate influence on the analysis and conclusions drawn from the data.

what is slope?

Slope is a measure of the steepness of a line. It is calculated as the change in the y-coordinate (vertical change) divided by the change in the x-coordinate (horizontal change) between two points on the line. The slope represents the rate at which the line is rising or falling.

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In the given problem, we are asked to find the rank, smallest singular value, and largest singular value of a matrix A that is formed by horizontally concatenating two randomly generated matrices A₁ and A₂. The dimensions of the matrice \(\frac{m*n}{2}\) , where m = 1,000 and n = 100. The value of ε is given as \(10^{(-8)}\).

To find the rank, smallest singular value, and largest singular value of the matrix A, we can use singular value decomposition (SVD). SVD decomposes a matrix into three components: U, Σ, and V, where U and V are orthogonal matrices, and Σ is a diagonal matrix containing the singular values of the original matrix.

By performing SVD on matrix A, we can extract the singular values from the diagonal elements of Σ. The rank of A is equal to the number of nonzero singular values. The smallest singular value corresponds to the minimum value on the diagonal of Σ, and the largest singular value corresponds to the maximum value on the diagonal.

Using Matlab or Python, we can implement the SVD algorithm to compute the rank, smallest singular value, and largest singular value of A. The code will involve generating the random matrices A₁ and A₂, concatenating them horizontally to form A, and then performing SVD on A. From the resulting Σ matrix, we can extract the required values.

In conclusion, by applying singular value decomposition to the matrix A formed by concatenating two randomly generated matrices, we can find the rank, smallest singular value, and largest singular value of A using Matlab or Python.

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The formula for percent error for mole ratio is expressed as;

%Error = [|experimental value − accepted value|/(accepted value)] * 100%

An individual measurement may be accurate or inaccurate, depending on how close it is to the true value. Suppose that you are doing an experiment to determine the density of a sample l. The accepted value of a measurement is the true or correct value based on general agreement with a reliable reference.

The error of an experiment is the difference between the experimental and accepted values.

Error = experimental value − accepted value

The percent error is the absolute value of the error, divided by the accepted value, and multiplied by  100% .

%Error = [|experimental value − accepted value|/(accepted value)] * 100%

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Answer:

z is equal to 3.125

Step-by-step explanation:

If y varies directly as z and inversely as x, we can write the following equation:

y = k * (z/x)

where k is the constant of proportionality. We can solve for k using the given values of y, z, and x:

y = k * (z/x)

10 = k * (5/12.5)

k = 24

Now we can use the value of k to find z when y = 37.5 and x = 2:

37.5 = 24 * (z/2)

z = 37.5 * 2 / 24

z = 3.125

Therefore, when y = 37.5 and x = 2, z is equal to 3.125.

Answer:

See Below

Step-by-step explanation:

Taking Right Hand Side to verify the identity:

tan ( 2π - x)

Resolving Parenthesis

tan 2π + tan (-x)

We know that tan 2π = 0

0 + tan (-x)

=> tan(-x) = Left Hand Side

Hence Proved

Answer:

\(\boxed{ \sf {view \: explanation}}\)

Step-by-step explanation:

\(\Rightarrow \sf tan ( 2\pi - x)=tan(-x)\)

\(\sf Apply \ distributive \ law.\)

\(\Rightarrow \sf tan (2\pi) + tan (-x) =tan(-x)\)

\(\sf Apply : tan(2\pi) =0\)

\(\Rightarrow \sf 0 + tan (-x) =tan(-x)\)

\(\Rightarrow \sf tan (-x) =tan(-x)\)

\(\sf Hence \ verified.\)

Answer:

60

Step-by-step explanation:

5water=1/2punch multiply by 12 to get 6 cups of punch so 5 x 12=60 and 1/2 x 12=6

Answer:

54.87

Step-by-step explanation:

Answer:

27  is  25 %  of  108

Step-by-step explanation:

x*25/100=27 or x=(27*100)/25=108

Answer:

Step-by-step explanation:

Need to know how many ounces in a scoop of pig food. Is there a ratio or formula associated? Lmk.

Answer:

D

Step-by-step explanation:

-(-4)=+4

so it is -20+4

Answer:

D) -20 + 4 is the answer.

Step-by-step explanation:

1) Record the terms .

\(4 - 20\)

2) Use this rule: a - b = -(b - a)

\( - (20 - 4)\)

3) Use algorithm method.

(see the attached picture)

4) After simplifying, we have:

\( -(20 - 4) = - 16\)

5) therefor, -20 + 4 = -16

\( - 16\)

Step-by-step explanation:

So, the account is at 0 initially; after the 1st payment made to the statement, the only balance it'd have, is the first payment amount, so namely, what's the monthly amortized cost.

Ex.: the picture

So let's do the same!

pymt: 120,000 [0.049/12/1 - (1 + 0.049/12) -12 x 20]

Hope this helped!

To find the probability of a company having both a website and a section in the newspaper, we can use the formula for conditional probability.

Let's denote the events as follows:
A: A company has a section in the newspaper
B: A company has a website

We are given the following probabilities:
P(A) = 0.43 (Probability of a company having a section in the newspaper)
P(B|A) = 0.84 (Probability of a company having a website given that it has a section in the newspaper)

The probability of both events A and B occurring can be calculated as:
P(A and B) = P(A) * P(B|A)

Substituting in the values we have:
P(A and B) = 0.43 * 0.84
P(A and B) = 0.3612

Therefore, the probability of a company having both a website and a section in the newspaper is 0.3612 or 36.12%.

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Ordinal is the answer.

In the given statement is:
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) ____ scale.

Ordinal Scale is the 2nd level of measurement that reports the ranking and ordering of the data without actually establishing the degree of variation between them. Ordinal level of measurement is the second of the four measurement scales. "Ordinal" indicates "Order".

Hence, The answer is Ordinal

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Answer: 0.9375 or 15/16 cup of water

Step-by-step explanation:

The plant has been getting 25% too much water which means that it has been getting 25% more than 3/4.

= 25% * 3/4

= ‭0.1875‬ cup of water

Water plant has been getting;

= 3/4 + ‭0.1875‬

= 0.9375 or 15/16 cup of water

H0 says that the population means are equal.

In the context of a hypothesis test for the difference of means between two independent populations (x1 and x2), the null hypothesis (H0) states the following about the relationship between the two population means:
H0 says that the population means are equal.
In other words, the null hypothesis assumes that there is no significant difference between the means of the two populations. The alternative hypothesis would then state that the population means are different. Remember that hypothesis testing is a process to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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The equivalent expression for \(6d^{(-4)}/21d^7\)is \(2/7d^7.\)

To find the equivalent expression for \(6d^{(-4)}/21d^7\), we can simplify the expression by applying the rules of exponents and performing the necessary operations.

First, let's focus on the numerator: \(6d^{(-4)\). The negative exponent indicates that the term is in the denominator. Using the rule that states a negative exponent can be rewritten as the reciprocal of the positive exponent, we can rewrite\(d^{(-4) }as 1/d^4.\) Therefore, the numerator becomes \(6/d^4.\)

Now, let's simplify the denominator: \(21d^7.\) Since the base is the same (d), we can combine the exponents by subtracting 7 from -4, resulting in\(d^{(7-4)} = d^3\). The denominator becomes \(21d^3.\)

Putting it all together, the expression becomes \((6/d^4)/(21d^3)\).

To simplify this further, we can rewrite it as a division problem by multiplying the numerator by the reciprocal of the denominator. The reciprocal of \(21d^3 is 1/(21d^3)\), so the expression becomes:

\((6/d^4) * (1/(21d^3))\)

Next, we can simplify the expression by multiplying the numerators and the denominators separately:

\((6 * 1) / (d^4 * 21d^3)\)

Simplifying further, we multiply the numbers in the numerator (6 * 1 = 6) and combine the exponents in the denominator\((d^4 * d^3 = d^(4+3) = d^7):\)

\(6 / (d^7 * 21)\)

Finally, we can simplify the expression by multiplying the constant in the numerator (6) with the constant in the denominator (21):

\(6/21d^7\)

This can be further reduced by dividing both the numerator and the denominator by their greatest common factor, which is 3:

\(2/7d^7\)

Therefore, the equivalent expression for \(6d^(-4)/21d^7 is 2/7d^7.\)

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The given triangle can be shown below

Since the sum of angles in a triangle is 180 degrees it follows

It follows

From the triangle above

Using trigonometrical ratios

It follows

This gives

Hence,

Also

It follows

Hence,

Therefore, the solutions are

Answer: D

answer  in picture  too

Step-by-step explanation:

edge 2023

The content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

Content dimensions is a generic concept to have multiple variants of a content node. It involves the information being explicitly discussed. The content repository supports any number of dimensions. The content dimension is the meaning of the actual message itself.

"Relational dimension of communication is a concept in which we have similar weight and impact as that of the message. This concept deals with the quality or nature of the relationships and networks."

Hence we can conclude that the content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

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Answer:

1.) 40 degrees

2.) 75 degrees

3.) 105 degrees

4.) 140 degrees

Step-by-step explanation:

Straight lines are = 180 degrees. Each of the angles you must solve have a given exterior angle. All you have to do is subtract the exterior angle from 180 to find the interior angle

1.) angle = 180-140

2.) angle = 180-105

3.) angle = 180-75

4.) angle = 180-40

Answer:

Measure of angle 1 is: 40 degrees

Measure of angle 2 is: 75 degrees

Measure of angle 3 is: 105 degrees

Measure of angle 4 is: 140 degrees

Step-by-step explanation:

Answer:

Assuming the question is how much interest you will pay in the given time frame with the given terms.

Step-by-step explanation:

Borrowed $300

18% per yr = 18/12 = 1.5% per month

You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest

$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.

Total $327.

If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.

The proportion of test takers scored between 6.5 and 8.0 is: P(6.5 <X< 8.0) = 0.218

In this question we have been given that the scores on the biology portion of the mcat are normally distributed with mean 8.0 and standard deviation 2.6

We need to find the proportion of test takers scored between 6.5 and 8.0

We know that the formula for z score is:

z = (X – μ) / σ

where X is the sample value, μ is the mean value and σ is the standard deviation

Here,  μ = 8.0

and σ = 2.6

when X = 6.5

z1 = (6.5 – 8.0) / 2.6

z1 = -0.57692

Using the standard distribution tables, proportion is P1 =  0.282

when X = 8.0

z2 = (8.0 – 8.0) / 2.6

z2 = 0

Using the standard distribution tables, proportion is P2 = 0.5

Therefore the proportion between X of 70 and 130 is:

P(6.5 <X< 8.0) = P2 – P1

P(6.5 <X< 8.0) = 0.5 -  0.282

P(6.5 <X< 8.0) = 0.218

Therefore, the required proportion is 0.218

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