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Find the volume of the solid.

Answer:

The square root of a positive number greater than 1 is less than the number.

The square root of a positive number less than 1 is between 0 and 1

Step-by-step explanation:

The statements 1 and 5 are true based on the properties of square root.

The square root of any number is equal to a number, which when multiplied with the same number gives the original number. When a number multiplies itself, the product that is obtained is known as the square number. The number is the square root.

For the given situation,

Based on the properties of square root, some statements are there. We need to check which statements are correct.

Statement 1:

The square root of a positive number greater than 1 is less than the number.

Let us take any positive number greater than 1, say the number is 2

⇒ \(\sqrt{2}=1.414\)

Thus, the statement 1 is true.

Statement 2:

The square root of a positive number is always less than half of the number itself.

Let us take any positive number, say the number is 2

⇒ \(\sqrt{2}=1.414\)

Thus, the statement 2 is false.

Statement 3:

The square root of a positive number less than 1 is less than the number.

Let us take any positive number less than 1, say the number is 0.3

⇒ \(\sqrt{0.3}=0.5477\)

Thus, the statement 3 is false.

Statement 4:

The square root of a perfect square is not a whole number.

Let us take any perfect square number, say the number is 25

⇒ \(\sqrt{25}=5\)

5 is a whole number.

Thus, the statement 4 is false.

Statement 5:

The square root of a positive number less than 1 is between 0 and 1.

Let us take any positive number less than 1, say the number is 0.5

⇒ \(\sqrt{0.5} =0.707\)

The square root value is lies between 0 and 1.

Thus, the statement 5 is true.

Hence we can conclude that the statements 1 and 5 are true based on the properties of square root.

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Answer:

It's......................

Hope this will help you.

Answer:

The answer to this question is -11

The area of the front cover a face perpendicular to the thickness is 72in²

What is a rectangular prism?

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom, and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape.

Here, we have

Given:

A new dictionary in the shape of a rectangular prism will have a thickness of 3 inches.

The volume of the dictionary will be 216in².

Volume = W×L×H

Surface = volume/ height

= 216/3

= 72in²

Hence, the area of the front cover of a face perpendicular to the thickness is 72in².

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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a. She divided the fraction strip into 8 parts

b. she converted 3.4 into a fraction with a numerator of 6.

c. she erased one eighths of the shaded area

I think it's Catherine School

Equidistant means "same distance"

The distance from 14 Street to Adam School is not the same as the distance from Union Square to Adam School. So this isn't right.

The distance from 14 Street to Catherine School is the same as the distance from Union Square to Catherine School.

So Catherine School is equidistant. Hope it helps!

\(SparklingFlower\)

Answer:0

Step-by-step explanation:

5/29 is less than a half and not an improper fraction, so you would round down and get 0

Answer:

25 trucks went by

Step-by-step explanation:

Answer:

16:20

Step-by-step explanation:

12:15 = 4:5  

4:5 x 4 = 16:20

Answer:

.

Step-by-step explanation:

Answer:

280

Step-by-step explanation:

Set up a ratio to solve.

Mr. Fraser's class has 20 soccer playing students, and 14 are boys.

14/20 = x/400

Cross multiply. 20x= 5600

Divide by 20 to solve

x= 280

Answer:

157.07963

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer: 2

5542 divided by 17 is 2

Step-by-step explanation:

The slope of tghe line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

                                          =  (- 6 -0) ÷ ( 0 - 7)

                                          =    ⁶/₇

We can now use the point-slope form to write the equation for this line:

y - y₁ = m(x - x₁) where (x₁ , y₁) = (7 , 0)

              y =  ⁶/₇ ( x  -  7 )

The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.

The solution of the equation means the value of the variable.

The given equation is x³ = 8125.

Taking the cube root, then we have

x = ∛8125

x = 20.1036 ≈ 20.104

The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.

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Answer:

see below

Step-by-step explanation:

The steps are +2 then *4 then -8 then ÷2

Input  is 5

5 +2 =7 *4 = 28-8 = 20 ÷2 = 10     Output is 10

Input  is 9

9 +2 =11 *4 = 44-8 = 36 ÷2 = 18     Output is 18

Input  is 14

14 +2 =16 *4 = 64-8 = 56 ÷2 = 28     Output is 28

Input  is 18

18 +2 =20 *4 = 80-8 = 72 ÷2 = 36     Output is 36

Input  is 23

23 +2 =25 *4 = 100-8 = 92 ÷2 = 46     Output is 46

Input  is 7.5

7.5 +2 =9.5 *4 = 38-8 = 30 ÷2 = 20     Output is 20

Input  is 11.54

11.54 +2 =13.54 *4 = 54.16-8 = 46.16 ÷2 = 23.08     Output is 23.08

Answer:

Output:

5 + 2 x 4 - 8 ÷ 2 = 9

9 + 2 x 4 - 8 ÷ 2 = 13

14 + 2 x 4 - 8 ÷ 2 = 18

18 + 2 x 4 - 8 ÷ 2 = 22

23 + 2 x 4 - 8 ÷ 2 = 27

7.5 + 2 x 4 - 8 ÷ 2 = 11.5

11.54 + 2 x 4 - 8 ÷ 2 = 14.54

The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

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Answer:

For the given set of equations x/2 + y/3 = 1 and x/4 + 2y/3 = -1 the sum of x and y is 1.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given set of equations are,

x/2 + y/3 = 1,        

x/4 + 2y/3 = -1.

Simplify both the equations,

3x + 2y = 6         (1)

3x + 8y = -12       (2)

Subtract equation (2) and (1),

6y = -18

y = -3

Substitute the value of y = -3, in equation (1)

3x + 2(-3) = 6

3x - 6 = 6

3x = 12

x = 4

The sum of x and y,

x+y = 4 - 3

      = 1

The sum of x and y for the given equations, is 1.

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well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

Answer:

120 sweets

Step-by-step explanation:

Bri:Jim:Kru

4: 3: 1

find the difference in the ratio of Bridget and Krutika

4-1=3

ratio 3 is equivalent to 45 sweets

total ratio(4+3+1)--------> ?

total no. of sweets= 8x45

3

=120sweets

There is no base number that satisfies the given equations, because none of the equations are correct.

The correct equations are:

(a) 12 × 4 = 48(b) 24 × 17 = 408

(c) 375 ÷ 3 = 125(d) 2^7.

3 is not equal to 3.6(e) (x^2 - 13x + 32) = (x - 5)(x - 8)

Therefore, x = 5 or x = 8.

To find the value of 2^7.3 on a calculator, you would use the exponent function.

For example, on a standard calculator, you would enter 2, then press the exponent key (^), then enter 7.3, and press equals.

This will give you an answer of approximately 128.22.

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Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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Answer:

200

Step-by-step explanation:

Answer: 19/3

Step-by-step explanation:

\(4x+3-x-5=30-3x\\\\3x-8=30-3x\\\\6x-8=30\\\\6x=38\\\\x=\frac{19}{3}\)

Answer:

twenty students in a class were give a test which was marked out 5 the result of the test are as follow.5,3,1,1,3,3,4,4,4,1,1,4,2,2,5,5,5,2,5,5,

Answer:

1602 R 5

Step-by-step explanation: