Find the value of x. 87*, x*, 92*, 135*, 105*

Answer:

C. 11/4

Step-by-step explanation:

We can make 2 into fourths: in one whole there are 4 fourths so in two wholes there are 8 fourths.

Then add the 3/4 to the 8/4 and we get 11/4.

C. 11/4

The height of the right-angle triangle which is the base of the triangular prism will be 10 cm.

A prism is a polyhedron composed of an n-sided polygon basis, an extra base that is a translated duplicate from the first, and n additional faces, most of which must be parallelograms, connecting matching sides of the two grounds. All parallel cross-sections to the foundations are translations of the grounds.

The volume is given as,

V = AH

The cross part of the crystal is a right-calculated triangle the foundation of the triangle has a length of 6 cm. the crystal has a length of 20 cm the crystal has a volume of 600 cm³.

Then the base area is given as,

600 = A x 20

A = 30

1/2 x 6 x h = 30

h = 10 cm

The height of the right-angle triangle which is the base of the triangular prism will be 10 cm.

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Answer:

2x (x - 4)

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

1 metre of plastic sheet= 25 1/2

3 1/17 plastic sheet = x

Cross multiply

x = 3 1/17 × 25 1/2

x = 52/17 × 51/2

x = 2652/34

x = 78

Hence the price of 3 1/17 metre of plastic is ¥78

Answer:

The surfacearea of the box would 140 length (14 times 10), 125 width (12.5 times 10), and 10 height(1 times 10). Therefore2ﾗ(140ﾗ125 + 140ﾗ10 + 125ﾗ10) = 40,300 centimeters^2

The line of best fit for the data is approximately y = -1.07x + 92.87: A) True.

In order to determine a linear equation for the line of best fit that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).

In this scenario, the latitude would be plotted on the x-axis of the scatter plot while the average temperature would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the latitude and average temperature, a linear equation for the line of best fit is given by:

y = -1.07x + 92.87

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When m is 20 the value of expression is 6.5. The value 6.5 represent the cost which marcia has to pay for car wash for 20 mins.

An expression is combination of variables, numbers and operators.

Given that Marcia's cost, in dollars, to wash her car can be calculated using the expression

0.25m +1.50

Zero point two five plus one point five.

In the expression m represents the number of minutes the car wash will run.

We need to find the value of expression when m is 20

0.25(20)+1.50

5+1.50

6.5

When m is 20 the value of expression is 6.5. The value 6.5 represent the cost which marcia has to pay for car wash for 20 mins.

Hence, Marcias cost $6.5 to wash her car for 20 minutes.

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If you graph the point

(1,1)

and

(2,-1)

you see this. Shown below:

The minimum branching factor of a B-tree is the minimum number of children a node can have in order to keep the tree balanced.

What is a B-tree?

A self-balancing search tree is the B-Tree. It is assumed that everything is in the main memory in the majority of the other self-balancing search trees (such AVL and Red-Black Trees).

We must consider the vast quantity of data that won't fit in the main memory in order to comprehend the utilisation of B-Trees. Data is read from the disc in the form of blocks when the number of keys is high. In comparison to the access time to main memory, disc access time is quite long. Reducing the amount of disc accesses is the major goal of employing B-Trees. The majority of tree operations, such as search, insert, delete, max, min, etc., call for O(h) disc accesses, where h is the tree height. A fat tree is the B-tree.

By packing as many keys as you can into each B-Tree node, the height of B-Trees is maintained to a minimum. The disc block size is often maintained at the same as the B-Tree node size. In comparison to balanced Binary Search Trees like the AVL Tree, Red-Black Tree, etc., the B-low tree's height results in a considerable reduction in the overall number of disc visits for the majority of operations.

b-trees what is the relation between the minimum branching factor and the minimum degree of a b-tree? which of the following are legal b-trees for when the minimum branching factor.

It is also known as the minimum degree of the B-tree. The minimum degree of a B-tree must be greater than or equal to the minimum branching factor.

The following are all legal B-trees for when the minimum branching factor is 3:

- 3-3-3-3 B-tree
- 2-3-3-4 B-tree
- 2-3-4-5 B-tree
- 3-4-5-6 B-tree
- 2-4-5-6 B-tree

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Answer:

its c =0.48+12p..... i did the math on a piece of paper

Answer:  gal / min

Step-by-step explanation:

Answer:

Down

Step-by-step explanation:

The negative before the x^2 makes it Down.

The algebraic expression (3t − 2)(7t − 4) using the FOIL method is  21t²- 26t + 8

To multiply the algebraic expression (3t − 2)(7t − 4) using the FOIL method and simplify, follow these steps:

FOIL stands for First, Outer, Inner, and Last.

First: Multiply the first terms in each parenthesis: (3t)(7t) = 21t²
Outer: Multiply the outer terms: (3t)(-4) = -12t
Inner: Multiply the inner terms: (-2)(7t) = -14t
Last: Multiply the last terms in each parenthesis: (-2)(-4) = 8

Now, add the results together and simplify:
21t² - 12t - 14t + 8
21t² - 26t + 8
: 21t²- 26t + 8

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Answer:

  A. On the angle bisector

Step-by-step explanation:

You want a shorter description of a point that is equidistant from the sides of an angle.

The definition of an angle bisector is, "the set of points equidistant from the sides of an angle." A point in that set is on the angle bisector.

The radius of the given circle is 7.5 units.

So, use the Pythagorean theorem:

Now, calculate as follows:

So, the diameter is 15 units.

Then the radius is:

Therefore, the radius of the given circle is 7.5 units.

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5. The constant of proportionality is 1.5

The equation is p = 1.5×s

6. The constant of proportionality is 1.99

The equation is p = 1.99 × a

7. The variables Number of Pens and Cost  are not proportional

Please find attached the required graph

8. The variables Number of minutes and Words Typed are not proportional

Please find attached the required graph

The procedure for finding the answers are as follows;

5. The given data are presented as follows;

\(\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}\)

Where two variables, s and p are proportional, we get;

p ∝ s

Therefore;

p = C × s

C = p/s

Where;

C = The constant of proportionality

Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;

C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5

The constant of proportionality, C = 1.5

The equation that relates the two values is p = 1.5×s

6.  For the apples to price relationship, we have;

\(\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}\)

Therefore;

p ∝ a

p = C × a

C = p/a

Plugging in the values gives;

C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99

The constant of proportionality, C = 1.99

Therefore, the equation relating the two values is p = 1.99 × a

7. The given data is presented in a tabular form as follows;

\(\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}\)

A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)

From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship

8. The given data is presented in a tabular form as follows;

\(\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}\)

From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship

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Answer:

Step-by-step explanation:

Let's start by decoding this :)

First lets do 60% more than 10; 16 (mental math)

Next, lets do 20% less than 16;  x/16 = 80/100 (Equation)

After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.

Hydrogen gas (H2) diffuses faster than fluorine gas (F2). The rate of diffusion is determined by the Graham's Law of Diffusion, which states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.

According to Graham's Law of Diffusion, the rate of diffusion (r) of a gas is given by the equation r ∝ 1/√(M), where M represents the molar mass of the gas. The smaller the molar mass, the faster the gas diffuses.

Comparing hydrogen gas (H2) and fluorine gas (F2), hydrogen has a molar mass of 2 g/mol, while fluorine has a molar mass of 38 g/mol. Applying Graham's Law, we can calculate the ratio of their diffusion rates:

(rH2/rF2) = √(MF2/MH2)

= √(38 g/mol / 2 g/mol)

= √19

Therefore, hydrogen gas (H2) diffuses approximately √19 times faster than fluorine gas (F2). The lighter molar mass of hydrogen contributes to its higher rate of diffusion compared to fluorine.

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To see statistics by category you would use an aggregate query or a group by query.

To see statistics by category, you would typically use an aggregate query or a group by query.

These types of queries allow you to group data based on a specific category and calculate statistics or summaries for each category.

In SQL, you can use the GROUP BY clause to group data based on a specific column or columns. You can then use aggregate functions like COUNT, SUM, AVG, MAX, MIN, etc., to calculate statistics for each category.

Depending on the specific database management system or programming language you are using, the syntax may vary slightly, but the concept of using an aggregate or group by query remains the same.

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Given,

Distance (d)= 2955 km

Time (t)= 13 hr

To Find,

Speed (s)=?

\(s = \frac{d}{t} \\ \\ s = \frac{2995}{13} \\ \\ s = 227.308 \: \: \text{km/hr}\)

Rounding To Nearest Whole Number= 227 Km/hr

\( \therefore \text{speed} = 227 \text{km/hr}\)

Answer:

As Per Provided Information

Distance travelled by the car is 2955 Km

and it takes 13 hours to cover that distance .

We have been asked to determine the speed of the car .

\( \boxed{\bf \: speed \: = \dfrac{Distance Travelled by Car}{Total Time Taken }}\)

substituting the value we get

\( \longrightarrow\sf \: Speed = \dfrac{2955}{13} \\ \\ \\ \longrightarrow\sf \: Speed = \cancel\dfrac{2955}{13} \\ \\ \\ \longrightarrow\sf \: Speed =227.30 \\ \\ \\ \longrightarrow\sf \: Speed \approx227 \: km {hr}^{ - 1} \)

Therefore,

Answer:

Step-by-step explanation:

- 9 ≤ - 6

- 9 + 15 ≤ - 6 + 15

6 ≤ 9

Answer:

1 is the answer.

Step-by-step explanation:

Eat berries and Creams.

Answer:

15/16 + 1/6

= 15 · 3/16 · 3 + 1 · 8/6 · 8

= 45/48 + 8/48

= 45 + 8 /48

= 53/48

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(16, 6) = 48. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 16 × 6 = 96. In the next intermediate step, the fraction result cannot be further simplified by canceling.

Rolle's theorem:

If a function \(f\) is continuous on the closed interval \( [a, b] \) and differentiable on the open interval \((a,b)\) such that \(f(a) = f(b)\), then [tex)f′(x) = 0\) for some \(x\) with \( a \leq x \leq b\).

Tangent:

A tangent is parallel to the x-axis if the slope of the tangent is 0. So, using Rolle's theorem, if we consider \(x=-\pi/2\) and \(x=\pi/2\), then \(f(-\pi/2)=f(\pi/2)=-1\).

Since \(f(x)\) is continuous on \([-\pi/2, \pi/2]\) and differentiable on \((-\pi/2, \pi/2)\), \(f'(x)=0\) for some \(-\pi/2 \leq x \leq \pi/2\), and thus there is a point in this interval which is parallel to the x-axis.

The value of the z-test statistic is 1.79.

We have,

In this sampling scenario, we are trying to test whether the average score on a nationwide biology examination is different from 501.

We took a random sample of 100 exam scores, and the sample mean (average) was found to be 515, with a standard deviation of 78.

To determine an appropriate test statistic, we consider two factors: the sample size and whether the population standard deviation is known.

Since the sample size is large (100), we can use the z-test statistic.

This test statistic helps us compare the sample mean to the hypothesized population mean (501) while considering the variability of the data.

The z-test statistic formula involves calculating the difference between the sample mean (515) and the hypothesized mean (501), and then dividing it by the standard deviation of the population divided by the square root of the sample size.

In this case, the known population standard deviation is 78, and the sample size is 100.

By plugging in these values, we find that the z-test statistic is 1.79.

This value indicates how many standard deviations the sample mean is away from the hypothesized mean.

In simple terms, the z-test statistic helps us assess whether the difference between the sample mean (515) and the hypothesized mean (501) is large enough to conclude that the average score on the nationwide biology examination is different from 501.

A higher absolute value of the z-test statistic suggests a stronger evidence for a difference between the population mean and the hypothesized mean.

Thus,

The value of the z-test statistic is 1.79.

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Work Shown:

x = his age now

x+11 = his age 11 years into the future

x-7 = his age 7 years ago

The equation to set up is

x+11 = 3(x-7)

since his age 11 years into the future is triple that of his age 7 years ago.

-------

Let's solve for x.

x+11 = 3(x-7)

x+11 = 3x-21

x-3x = -21-11

-2x = -32

x = -32/(-2)

x = 16

He is currently 16 years old.

11 years from now he'll be 16+11 = 27, and 7 years ago he was 16-7 = 9.

Note that 9*3 = 27 to help confirm the answer.

Answer:

16

Step-by-step explanation:

3(x-7)=x+11

Plug into equation and find value of x

Answer:

x = 11.7

Step-by-step explanation:

\(\frac{50}{39}\) = \(\frac{15}{x}\)

50x = 585

x = 11.7