It takes Susana 10 seconds to complete 5 math
problems. How many math facts can she complete
in 35 seconds?

Answer:

3) x = 5

4) n = 7

5) d = 42

6) h = 5.1

7) a = 0.5

8) p = 42

9) y = 35

10) r = 15 1/6

Step-by-step explanation:

Answer:

5. d+168 6.  6. h=5.1   7. a=19.4   8. p=42    9. y=35  10. r=

65/6

Step-by-step explanation:

Answer:

1,890

Step-by-step explanation:

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

-2(8 -y) = -6y

-16 +2y = -6y . . . . . eliminate parentheses

-16 +8y = 0 . . . . . .  add 6y

-2 +y = 0 . . . . . . . . .divide by 8

y = 2 . . . . . . . . . . . . add 2

The spherical coordinate system is the most suitable system of coordinates to describe the spherical shell between two concentric spheres centered at (4,1,2).

A system of coordinates is a set of numbers used to describe the position of a point in space. There are different types of coordinate systems, each with its own advantages and disadvantages.

The spherical shell is the region of space between two spheres with the same center, but different radii. In this case, the center of both spheres is at (4,1,2) and the inner sphere has a radius of 7 while the outer sphere has a radius of 13.

One of the most commonly used coordinate systems for describing spheres is the spherical coordinate system.

To use this system of coordinates to describe the spherical shell, we first need to determine the radial distance for each point in the shell. This distance is between 7 and 13, since the shell lies between the inner and outer spheres.

Therefore, to describe a point in the spherical shell using spherical coordinates, we use the radial distance, polar angle, and azimuthal angle. These coordinates can then be used to plot the spherical shell and understand its geometry and properties.

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The solution of the expression as a single power is X²⁹.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is (x⁴)(x¹⁰)/(x³)⁵. The equation will be solved by the property of exponents.

E = (x⁴)(x¹⁰)/(x³)⁵

Add all the powers of the same base x.

E =  (x⁴)(x¹⁰)/(x¹⁵)

E = x⁽⁴⁺¹⁰⁺¹⁵⁾

E = x²⁹

Therefore, the solution of the expression as a single power is X²⁹.

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An isosceles triangle has two congruent sides, and a right triangle has an angle measuring 90°.

If we draw a right triangle, where each leg has the same length, we have:

Since both properties can be put together, so Ryan's statement is correct, since we can draw a right isosceles triangle.

There is a 34% chance that the randomly purchased item from the manufacturer will last longer than 8 years.

The question is asking for the probability that a randomly purchased item from a manufacturer will last longer than 8 years. To answer this question, we must use the normal distribution formula and find the area under the curve between 8 and infinity.

The formula for the normal distribution is as follows:

\(1/(\sigma\sqrt{2\pi}) e^{-((x-\mu)^2)2\sigma^2}\)

Where μ is the mean and σ is the standard deviation.

In this problem, μ = 6.5 years and σ = 0.8 years.

Using the formula, the probability of the randomly purchased item lasting longer than 8 years is 0.34.

To calculate the probability, we use the z-score formula, which is \((x-\mu)/\sigma\). Plugging in 8-6.5/0.8 gives us a z-score of 1.875.

Using the z-table, we can find the area under the curve, which is 0.34. This means that the probability of the randomly purchased item lasting longer than 8 years is 0.34.

Therefore, the answer to the question is that there is a 34% chance that the randomly purchased item from the manufacturer will last longer than 8 years.

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The simplified expression is 6x.

When we are asked to simplify an expression, we typically want to rewrite it in a more compact or easier-to-understand form. In this case, we want to remove any parentheses (symbols of grouping) and combine like terms.

The expression we're given is:

6(x − 6) + 36

To begin simplifying this expression, we can first distribute the 6 to both terms inside the parentheses:

6(x - 6) = 6x - 36

Now our expression looks like:

6x - 36 + 36

Notice that the second and third terms, -36 and 36, are additive inverses of each other. That means that when we add them together, they cancel each other out:

-36 + 36 = 0

So we can rewrite our expression as:

6x + 0

But 0 doesn't actually contribute anything to the expression, so we can just drop it:

6x

So the simplified form of the expression is just 6x.

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The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

a

Step-by-step explanation:

I just did the test

Answer:

The effect on the graph of the function f(x) = 2^x when f(x) is replaced with f(x − 3) is that it translates horizontally 3 units right.

When a function is replaced with f(x - c), where c is a positive constant, the graph of the function shifts horizontally c units to the right. Similarly, if c is negative, the graph shifts horizontally c units to the left.

Therefore, replacing f(x) with f(x - 3) in the function f(x) = 2^x shifts the graph of the function horizontally by 3 units to the right.

Please mark this answer as Brainliest!!

Answer: A

Step-by-step explanation: The reason is that it is the only one showing the proper signs for direction, in the case of the top row x < 1 indicates the graph will have an open circle and go to the left. the bottom row shows an x is greater than or equal to 1 indicating that the line will have a closed circle and go to the right.

Hope this helps c:

The area of the trapezoid is 13 meters.

The area of a trapezoid is calculated by taking the sum of the two bases and multiplying that by the height, then dividing that by two. In this case, the sum of the two bases is 4 meters + 2.5 meters = 6.5 meters. Multiplying this by the height of 4 meters gives us a result of 26 meters. Finally, we divide that by two to get the final area of 13 meters.

To calculate the area of a trapezoid, you first need to calculate the sum of its two bases. The two bases are the bottom and the top lengths of the trapezoid, which in this case are 4 meters and 2.5 meters respectively. Once you have the sum of the two bases, you can then multiply that sum by the height of the trapezoid, which in this case is 4 meters. This will give you the total area of the trapezoid. Lastly, you divide this total area by two to get the final area.

In summary, to calculate the area of a trapezoid with a base length of 4 meters and 2.5 meters, and a height of 4 meters, you need to first calculate the sum of its two bases, which in this case is 6.5 meters. Multiply this by the height of 4 meters to get the total area of 26 meters. Finally, divide this by two to get the final area of the trapezoid, which is 13 meters.

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Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

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The fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

Diffusiοn is the prοcess by which particles οf a substance mοve frοm an area οf high cοncentratiοn tο an area οf lοwer cοncentratiοn, resulting in a net mοvement οf particles dοwn their cοncentratiοn gradient.

This οccurs due tο the randοm mοtiοn οf individual particles, which leads tο a tendency fοr particles tο spread οut and becοme evenly distributed οver time.

Answer tο Questiοn 9:

The relatiοnship between average displacement squared (R²) and time (t) is linear.

Answer tο Questiοn 10:

The variable 'R2' in the diffusiοn equatiοn cοrrespοnds tο 'y' in the trendline equatiοn, and the variable 't' in the diffusiοn equatiοn cοrrespοnds tο 'x' in the trendline equatiοn.

Answer tο Questiοn 11:

We can sοlve fοr the diffusiοn cοnstant 'D' in terms οf the slοpe 'm' and a cοnstant 'c' by equating the diffusiοn equatiοn and the trendline equatiοn.

The diffusiοn equatiοn: R2 = 4Dt

The trendline equatiοn: y = mx + b

Substituting the cοrrespοnding variables, we get:

R2 = y, D = cοnstant, t = x, m = slοpe, b = cοnstant

Sο, we have:

R2 = 4Dt

y = mx + b

Equating the twο equatiοns, we get:

y = 4Dx + 0 (since b = 0)

Cοmparing this with the trendline equatiοn y = mx + b, we can see that:

m = 4D

Therefοre, we can sοlve fοr 'D' as:

D = m/4

Answer tο Questiοn 12:

Given the trendline equatiοn y = 1.24x + 5.63, we can see that the slοpe 'm' is 1.24.

Using the fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

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The operations between functions give:

f + g = 6x - 8

f - g = 4x - 4

g×f = f × g = 5x² - 16x + 12

In all cases, the domain is the set of all real numbers:

[-∞, ∞]

Here we have the functions:

f(x) = 5x - 6

g(x) = x - 2

Both are linear functions.

The sum between them is;

f + g = f(x) +g(x) = 5x - 6 + x - 2 = 6x - 8

Also a linear function, so the domain is the set of all real numbers.

The subtraction is:

f - g = f(x) - g(x) = 5x - 6 -x +2 = 4x - 4

Also, the domain is the set of all real numbers.

The products are:

f× g = f(x)×g(x)

And that is equal to the product in the other order:

g×f = g(x)×f(x)

Replacing that we will get:

f× g = (5x - 6)*(x - 2) = 5x² - 10x - 6x + 12 = 5x² - 16x + 12

That is a quadratic, so the domain is the set of all real numbers.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

-0.85 is the strongest correlation coefficient which represents the strongest correlation as compared to others.

What is Correlation coefficients ?

Correlation coefficients are used to measure how strong a relationship is between two variables. There are several types of correlation coefficients, but the most popular is Pearson’s. Pearson’s correlation is a correlation coefficient commonly used in linear regression. Generally, correlation coefficients range between -1.00 to +1.00.

According to the rule of correlation coefficients, the strongest correlation is considered when the value is closest to +1 (positive correlation) or -1 (negative correlation).

A positive correlation coefficient indicates that the value of one variable depends on the other variable directly.

A zero-correlation coefficient indicates that there is no correlation between both variables.

A negative correlation coefficient indicates that the value of one variable depends on the other variable inversely.

Hence, according to the options, we know that -0.85 is the closest to -1, and none of the values is closer than that to either of -1 or +1. Hence, it is more negatively correlated.

Hence, -0.85 is the strongest correlation coefficient which represents the strongest correlation as compared to others.

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Answer:

94.917

Step-by-step explanation:

6834/72 = 94.916666

Answer:

610.75

Step-by-step explanation:

48.86 divided by 0.08

I believe that its easier to understand the multiplication of a radical than that of a polynomial.

In mathematics, a radical is the opposite of an exponent that is represented with a symbol '√' also known as root.

A polynomial is an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division.

When multiplying radicals with the same index, multiply under the radical, and then multiply in front of the radical. An example is:

= 3✓2 × 4✓2

= 12✓4

= 12 × 2

= 24

The multiplication of a radical is easier.

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Answer:

D) 3 and 5

Step-by-step explanation:

because 3 x 2 is 6 and 5 x 2 is 10

To solve the given problem we will use the equation for the circumference as a function of the radius:

Substituting the given values, we have:

From the solution developed above, we are able to conclude that the circumference of the given circle is C = 56.52 cm

Answer:

since the hypotenuse are equal

Step-by-step explanation:

then x = 12

The equation will be 3x - 20 = 16. Then the value of the variable 'x' will be 12.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔQRS is congruent to the triangle ΔXYA. Then the corresponding sides will be equal to each other. Then we have

3x - 20 = 16

Simplify the equation, then we have

3x - 20 = 16

3x = 36

x = 12

The equation will be 3x - 20 = 16. Then the value of the variable 'x' will be 12.

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The each additive term must have the same units means that the units of measurement used for each term must be the same

In mathematics and physics, an additive term refers to a term that is added to another quantity to obtain a sum

When we say that each additive term must have the same units, we mean that the units of measurement used for each term must be the same. This is because when we add or subtract quantities, they must be expressed in the same units.

Similarly, when we have an expression with multiple additive terms, such as "5 kg + 2.5 g + 7 lbs", we need to convert each term to the same unit before adding them together. In this example, we could convert the grams to kilograms or the pounds to kilograms, so that all terms are in the same unit of measurement.

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Answer:

I’m going to guess and say that it’s 3? Not sure sorry!

To find the area of g([0, 12] ×[0, 6]), we need to first find the image of the rectangle [0, 12] ×[0, 6] under the inverse transformation g. Hence, the area of g([0, 12] ×[0, 6]) is 72 square units.

To find the area of g([0, 12] ×[0, 6]), we need to first find the image of the rectangle [0, 12] ×[0, 6] under the inverse transformation g

Since g is the inverse of f, we can express x and y in terms of u and v:

x = (v + 4u)/41

y = (4u - 5v)/41

Thus, the inverse transformation g maps the point (u, v) in the uv-plane to the point (x, y) in the xy-plane, where x and y are given by the above formulas.

Now, we can find the image of the rectangle [0, 12] ×[0, 6] under g as follows:

g([0, 12] ×[0, 6]) = {(x, y) | 0 ≤ x ≤ 12, 0 ≤ y ≤ 6, x = (v + 4u)/41, y = (4u - 5v)/41}

Substituting v = x - y into the equation for u, we get:

u = (5x + 9y)/41

Substituting this expression for u into the equations for x and y, we get:

x = (4/41)x + (5/41)y

y = (-5/41)x + (4/41)y

These equations define a linear transformation of the xy-plane. The matrix representation of this transformation with respect to the standard basis {(1, 0), (0, 1)} is:

[4/41 5/41]

[-5/41 4/41]

The determinant of this matrix is:

det([4/41 5/41]

[-5/41 4/41]) = (4/41)(4/41) + (5/41)(5/41) = 41/41 = 1

Therefore, the transformation is area-preserving, and the area of g([0, 12] ×[0, 6]) is the same as the area of [0, 12] ×[0, 6], which is:

A = 12 × 6 = 72

Hence, the area of g([0, 12] ×[0, 6]) is 72 square units.

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Answer:

$7.5

Step-by-step explanation:

$0.75 for each smoothie

The option that follow  is B. The data must be ranked before percentiles can be determined. Ranking involves ordering the data from lowest to highest or vice versa.

Once the data is ranked, percentiles can be calculated based on the position of each value in the ranked list. For example, the median is the 50th percentile, meaning that it is the value that separates the lower 50% from the upper 50%. In conclusion, ranking the data is a crucial step in determining percentiles for any set of data.

Percentiles are a way to measure the position of a specific value within a dataset relative to other values. To calculate percentiles, the data must first be ranked from lowest to highest or vice versa. The position of each value in the ranked list is then used to determine its percentile. For example, the 75th percentile is the value that separates the lower 75% from the upper 25%. Therefore, ranking the data is a crucial step in determining percentiles for any set of data.

To determine percentiles for a given set of data, the data must be ranked first. Ranking is the process of ordering the data from lowest to highest or vice versa, which enables the calculation of percentiles based on the position of each value in the ranked list.

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