2 3/8 is closest to what number

Answer:

150 hope this helps

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

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\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

Answer:

4y = 24

Step-by-step explanation:

Given:

4 x Number of yellow balls = Number of white balls

Number of white balls = 24

Number of yellow balls = y

Computation:

4 x Number of yellow balls = Number of white balls

4 x y = 24

4y = 24

Number of yellow balls = y = 6 balls

Answer:

yes

explanation:

Your score falls within the range of scores, from 740 to 799, that is considered Very Good. A 779 FICO Score is above the average credit score. Consumers in this range may qualify for better interest rates from lenders.

Answer:

$25.44

Step-by-step explanation:

if they sell for 7.95 and you get 3.2 you do 7.95 times 3.2

Answer:D

Step-by-step explanation:

On e2020

Answer:

the answer is D. 30

Step-by-step explanation:

I got it wright

(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

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The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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Answer:

35

Step-by-step explanation:

just trust me its the total

Answer:

35

Step-by-step explanation:

25-5=20

20-10=10

10+15=25

25+10=35

A construction of the box-and-whisker plot representing the data set is shown below.

In Mathematics and Statistics, a box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the data (information) provided above, the five-number summary for the given data set include the following:

In conclusion, we can logically deduce that the maximum number is 100 while the minimum number is 35, and the median is equal to 88.

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Answer:

The general form of the quadratic function f is f(x) = ax2 + bx + c, ... To get the x-intercepts, we opt to set the given formula g(x)=6 − x − x2 = 0.

Step-by-step explanation:The general form of the quadratic function f is f(x) = ax2 + bx + c, ... To get the x-intercepts, we opt to set the given formula g(x)=6 − x − x2 = 0.

After evaluation of the expression, we have come to find that the value of expression is −4.

In mathematics, an expression is a combination of numbers, variables, operators, and/or functions, typically written in a specific order or format, that represents a value or quantity. Expressions can be simple or complex, and can be evaluated or simplified using mathematical operations and rules.

First, we need to simplify the expression inside the parentheses:

(-4 + 12 - 6²) ÷ 7

(−4 + 12 − 36) ÷ 7

(−28) ÷ 7

−4

Thus, after evaluation of the expression, we have come to find that the value of expression is −4.

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Answer:

We know that the area of a triangle is:

1/2 * base * height

We are given:

base = x + 6

height = x

area = 108 m^2

Applying the formula:

Area  = 1/2 * base * height

108 = 1/2 * x * (x + 6)

x² + 6x = 216

x² + 6x - 216 = 0

x² + 18x - 12x -216 = 0   (Splitting the middle term)

x(x + 18) - 12(x + 18) = 0

(x + 18) (x - 12) = 0

Hence, we have 2 possible values for x:   -18 or 12

Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x

Therefore, x = 12

Median is the Middle number

1. Sort the numbers until they are all in value order

2. Find the middle number

So the answer would be 12

Answer:

Median = 12

Step-by-step explanation:

12, 11, 14, 14, 14, 12, 7

Arranging the given data in ascending order, we find:

7, 11, 12, 12, 14, 14, 14

Here,

Number of observations (N) = 7

\( \therefore \: \frac{N + 1}{2} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \\ \\ median \: = 4th \: term \\ \huge \red{ \boxed{median = 12}}\)

The method for computing a z-score is  \(\bold{z = \frac{(x-\mu)}{\sigma}}\), where x is the crude score, \(\bold{\mu}\) is the mean population, and \(\bold{\sigma}\) seems to be the standard population difference.

\(\bold{\bar{x}=150}\\\\ \bold{\sigma=25}\)

following are the calculation of the Z scores:

\(\to \ (a)\ 100:\ \text{Z score}=\frac{(100-150)}{25}= \frac{(-50)}{25} = -2\\\\\to \ (b)\ 120:\ \text{Z score}=\frac{(120-150)}{25}= \frac{(-30)}{25} = -1.2\\\\\to \ (c)\ 140:\ \text{Z score}=\frac{(140-150)}{25}= \frac{(-10)}{25} = -0.4\\\\\to \ (a)\ 160:\ \text{Z score}=\frac{(160-150)}{25}= \frac{(10)}{25} = 0.4\\\\\)

Using formula:

\(\to \text{Raw score = Mean(series) +Z score} \times \text{SD(series)}\)

Calculating the Raw scores:

\(\text{(e) -1: Raw score= 150 +(-1)} \times 25 = 125 \\\\\text{(f) -0.8: Raw score= 150 +(-0.8)} \times 25 = 130\\\\\text{(e) -0.2: Raw score= 150 +(-0.2)} \times 25 = 145\\\\\text{(e) 1.38: Raw score= 150 +(1.38)} \times 25 = 184.5\\\\\)

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Answer:

12

Step-by-step explanation:

bec its hard fiduciaries chic, yoga glitz box

Answer: \(\sqrt[3]{a}\)

Step-by-step explanation:

Just as the square root is \(\sqrt[2]{a}\), the cube root is \(\sqrt[3]{a}\)

Hope it helps <3

Answer:

\(\sqrt[3]{a}\)

Step-by-step explanation:

a cube root of a number x is a number a such that a³ = x.

Sam drove approximately 246 miles.

Let's start by subtracting the base fee from the total amount Sam paid to find the additional fee he incurred for the miles driven:

213.33 - 18.99 = 194.34

We know that the additional fee is 79 cents per mile, so we can set up an equation to find the number of miles Sam drove:

194.34 = 0.79x

where x is the number of miles driven.

To solve for x, we can divide both sides of the equation by 0.79:

x = 194.34 / 0.79 ≈ 246

Therefore, Sam drove approximately 246 miles.

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Answer:

try using

Step-by-step explanation:

According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

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Hello!

\(\large\boxed{x = 17}\)

\(\sqrt{x -1} + 5 = 9\)

Begin by subtracting 5 from both sides:

\(\sqrt{x -1} = 9 - 5\\\\\sqrt{x -1} = 4\)

Square both sides to get rid of the radical:

\(x - 1 = 16\)

Add 1 to both sides to completely isolate for x:

\(x = 17\)

Answer:

The mean absolute deviation is 2. Hope this helps

Step-by-step explanation:

7+2+8+9+9+5+6+8+1=5.5

7-5.5=1.5

5.5-2=3.5

8-5.5=2.5

9-5.5=3.5

9-5.5=3.5

5.5-5=0.5

6-5.5=1.5

8-5.5 2.5

5.5-1=4.5

1.5+3.5+2.5+3.5+3.5+0.5+1.5+2.5+4.5=2

Answer is 2.

I hope this can help!

Have a nice day :)

~Amy

Answer:

The volleyball team's variability is greater because the range is greater! :)

Answer:

first answer your correct

Step-by-step explanation:

So basically the basketball team and the volleyball team are different because the basketball team has more people on it. The height difference is greater for basketball team.

The mean population in the U.S. is 2,068,548.

The median population in the U.S. is 1,565,659.

There is no mode in the dataset.

The standard deviation of the populations for the top twelve largest cities in the U.S. is 2,279,894.12.

To find the mean population, we need to sum up all the populations and divide by the total number of cities.

Mean = EF / n

Mean = 8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507

Mean = 24, 822,580 / 12

Mean =  2068548.33333

Mean =  2,068,548

Arranging populations in ascending order:

\(911,507, 978,908, 1,021,795, 1,343,573, 1,423,851, 1,547,253, \\1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817, 979,576\)

Median population = (1,547,253 + 1,584,064) / 2

Median population = 1,565,658.50.

The mode represents the value(s) that appear most frequently in the dataset. In this case, there is no single mode as each population value occurs only once. Therefore, we can say that there is no mode in the dataset of the top twelve largest cities in the U.S.

Standard Deviation:

\(\sqrt{(8,336,817 - 1,574,232)^2 + (979,576 - 1,574,232)^2 + (911,507 - 1,574,232)^2) / 12}\\\\\)

\(= \sqrt{62,333,273,003,930 / 12}\\= \sqrt{5,194,439,417,828.33} \\\\= 2,279,894.12\)

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a) constant of variation is 129.6

b) E = 129.6/d^2

c)

Explanation:

Illumination, E varies inversely as distance squared, d²

Writing this mathemeatically:

To get k, we will substitute for E and d in the equation

when E = 29.388 lux, d = 2.1 m

b) To get the equation that models this situation, we will substitute for k in the equation showing relationship between illumination (E) and distance (d)

c) we need to find the distance when the illumination is 4.614 lux

Using the equation that models the situation:

Answer:

Excise tax

Step-by-step explanation:

Correct me if I'm wrong <3