10-5/1 +7n ≥-30

Help me this hard

Answer:

Step-by-step explanation:

9.500 x 1000

1 x 1000

=  

9500/ 1000

next

9500/500

----------------

1000/500

=  

19/ 2

so 19/2 is the answer

Step-by-step explanation:

Permit me to re-write it as 9.5/1

so, multiply both the numerator and the denominator by 10 to clear the decimal

then we have,

95/10

divide both the numerator and the denominator by 5

we have,

19/2

converting to proper fraction the answer is,

9½

This study is enumerative since there is a small, identifiable population of things to sample from. This investigation is analytical since there is a limitless population of items from which to sample.

The administrator may select stratified random sample or basic random sampling to solve the CSU problem.

To determine the average distance between hometown and campuses using simple random sampling, all students across the 23 CSU campuses are taken into account.

This approach is flexible, and the statistical analysis would be straightforward. In the stratified random sampling, each campus is treated as a single cluster. A random sample is taken from each campus, and the distance between home and campus is calculated.

The statistical findings would be more reliable and instructive using this strategy. This study is unmistakably enumerative. Here, the administrator is looking into the typical travel time between home and university.

By moving the students from one campus to another, he can utilize this outcome as the basis for taking the necessary action to reduce the distance.

Simply said, the administrator can use the data to create an actionable item.

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The complete question is:

The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near the Oregon border. A CSU administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. Describe and discuss several different sampling methods that might be employed. Would this be an enumerative or an analytic study? Explain your reasoning.

Calvin's age is now 23 years old.

9 years ago, Dallas was 3 times Calvin's age, which was 11.

Therefore, 9 years ago, Dallas was 33. 32 years ago, when Calvin was 0, Dallas was 32.

Since then, Dallas has aged 1 year for every year Calvin has aged, so Calvin is now 23 and Dallas is 55.

This problem can also be solved using algebra. Let x be Calvin's age now, and y be Dallas' age 9 years ago. We can then set up the following equation:

x + 32 = 3(y - 9)

We can simplify this to x + 32 = 3y - 27 and solve for x:

x = 3y - 27 - 32

Plugging in the given information that y = 33, we get:

x = 3(33) - 27 - 32 = 23

Therefore, Calvin is currently 23 years old.

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The maximum amount of fuel that an F1 car can burn during a race, given the specified regulations and a fuel specific gravity of 0.75, is 109.25 kg.

The maximum amount of fuel that an F1 car can burn during a race, we need to consider the fuel limits set by the regulations.

The FIA (Fédération International de automobile) specifies that F1 race cars are allowed a maximum of 110 kg of fuel to start the race. Additionally, they must have at least 1.0 liter of fuel left at the end of the race for fuel sample testing.

To calculate the maximum fuel burn, we need to find the difference between the initial fuel amount and the fuel left at the end. First, we convert the 1.0 liter of fuel to kilograms. The density of the fuel can be determined using its specific gravity.

Since specific gravity is the ratio of the density of a substance to the density of a reference substance, we can calculate the density of the fuel by multiplying the specific gravity by the density of the reference substance (water).

Given that the specific gravity of the fuel is 0.75, the density of the fuel is 0.75 times the density of water, which is 1000 kg/m³. Therefore, the density of the fuel is 0.75 * 1000 kg/m³ = 750 kg/m³.

To convert 1.0 liter of fuel to kilograms, we multiply the volume in liters by the density in kg/m³. Since 1 liter is equivalent to 0.001 cubic meters, the mass of the remaining fuel is 0.001 * 750 kg/m³ = 0.75 kg.

Now, to find the maximum amount of fuel burned during the race, we subtract the remaining fuel mass from the initial fuel mass: 110 kg - 0.75 kg = 109.25 kg.

Therefore, the maximum amount of fuel that an F1 car can burn during a race, given the specified regulations and a fuel specific gravity of 0.75, is 109.25 kg.

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Answer:

4 hours

Plz mark me brainliest

Step-by-step explanation:

The length of the arc intercepted by a central angle of 140° on a circle with a radius of 14 inches is approximately 34.1557 inches.

To find the length of the arc intercepted by a central angle on a circle, we can use the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, the radius of the circle is 14 inches, and the central angle is 140°.

First, we need to calculate the circumference of the circle:

Circumference = 2 * π * radius

Circumference = 2 * π * 14 inches

Now, we can calculate the length of the arc:

Arc Length = (140° / 360°) * Circumference

Arc Length = (140/360) * (2 * π * 14 inches)

Arc Length ≈ (0.3889) * (2 * 3.1416 * 14 inches)

Arc Length ≈ 0.3889 * 87.9648 inches

Arc Length ≈ 34.1557 inches

Therefore, the length of the arc intercepted by a central angle of 140° on a circle with a radius of 14 inches is approximately 34.1557 inches.

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According to the given statement

The area of Colorado is 67.43 times greater than the area of Rhode Island

Area is typically thought of as a specific instance of volume for two-dimensional regions. By applying axioms, one can define area as the relationship between a set of real numbers and a collection of particular plane figures.

Area is a mathematical concept that describes the size of a region on a planar or curved surface. The area of an open surface or the border of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

According to the given values;

The area of Rhode Island = 43.07 billion square feet.

The area of Colorado = 2.9045 trillion square feet.

43.07 billion =43,070,000,000

2.945 trillion =2,9045,000,000,00

Now we have to find how many times as great is the area of Colorado than the area of Rhode Island.

For this ,we divide area of Colorado by area of Rhode Island.

=2,9045,000,000,00/43,070,000,000

=67.43

So, the area of Colorado is 67.43 times greater than the area of Rhode Island.

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the correct statement is:  The number 3√2 is irrational.

To prove that 3√2 is irrational, we need to assume the opposite, i.e., that it is rational and then derive a contradiction.

So, let's assume that 3√2 is rational and can be written as a/b, where a and b are integers with no common factors.

Then, we can rewrite this as:

3√2 = a/b

Squaring both sides gives:

\((3√2)^2 = (a/b)^2\)

Simplifying, we get:

18 = \((a^2)/(b^2)\)

Multiplying both sides by \(b^2\) gives:

18\(b^2 = a^2 \\\)

This implies that\(a^2\)is a multiple of 18, which means a is a multiple of 3. Let a = 3k, where k is an integer.

Substituting this into the previous equation gives:

\(18b^2 = (3k)^2\)

Simplifying, we get:

6b = k

This means that k is a multiple of 6, which implies that a is a multiple of 3 and 6. But this contradicts our assumption that a and b have no common factors.

Therefore, our initial assumption that 3√2 is rational must be false, which means that 3√2 is irrational.

So, the correct statement is:

Therefore, the number 3√2 is irrational.

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Answer:

Note that both the x and y coordinates are multiplied by the SAME value, k. Given ΔDEF with center of dilation the origin (0,0) and scale factor of 2, plot ΔD'E'F'. As shown in the formula above, multiply each x and y coordinate value by the scale factor of 2 to find the new coordinator

Based on the information provided, the box plot for the Ozark hellbenders is most likely to have the larger interquartile range.

The interquartile range (IQR) is a measure of the spread or variability of a dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of the dataset. A larger IQR indicates a greater spread of the data.

In this case, the Ozark hellbenders have a larger mean length and a larger standard deviation compared to the eastern hellbenders. This suggests that the lengths of the Ozark hellbenders are more spread out and have a wider distribution. Since the IQR measures the spread within the middle 50% of the data, it is likely that the larger spread in the lengths of the Ozark hellbenders will result in a larger interquartile range compared to the eastern hellbenders.

In summary, based on the information provided, the box plot for the Ozark hellbenders is most likely to have the larger interquartile range.

The interquartile range (IQR) is a measure of the dispersion of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). A larger IQR indicates a greater spread of the data.

Given that the Ozark hellbenders have a larger mean length (28.8 cm) and a larger standard deviation (2 cm) compared to the eastern hellbenders (mean of 25.7 cm and standard deviation of 1.2 cm), it suggests that the lengths of the Ozark hellbenders are more variable and spread out. The larger standard deviation indicates that the data points are more scattered around the mean. As a result, the range between Q1 and Q3 is likely to be larger for the Ozark hellbenders, leading to a larger interquartile range.

Therefore, it is reasonable to conclude that the box plot for the Ozark hellbenders will most likely have the larger interquartile range compared to the eastern hellbenders.

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Answer:

Step-by-step explanation:

You had the first part of the first question correct. The answer is 100:64

The sides of the squares

Area of e = 69% more than area of area of f

e^2: f^2 = ( 1 + 69/100 ) / 1

e^2 : f^2 = (1.69)/1            Take the square root of both sides

e:f  = 1.3:1

The empirical formula of the uranium chloride is UCl₁.

To determine the empirical formula of the uranium chloride, we need to calculate the mole ratio of uranium to chloride in the compound.

First, we need to find the moles of uranium and chloride in the given sample.

Mass of uranium (U) = 0.176 g

Atomic mass of uranium (U) = 238.03 g/mol

Moles of uranium (U) = mass / atomic mass = 0.176 g / 238.03 g/mol ≈ 0.0007387 mol

Since the molar ratio between uranium and chloride is 1:1 in the empirical formula, the moles of chloride will also be approximately 0.0007387 mol.

Next, we can convert the moles of chloride to grams using the molar mass of chloride.

Mass of chloride (Cl) = 0.255 g - 0.176 g = 0.079 g

Now, we can calculate the molar mass of chloride (Cl).

Molar mass of chloride (Cl) = mass / moles = 0.079 g / 0.0007387 mol ≈ 107 g/mol

The empirical formula of the uranium chloride can be determined by dividing the subscripts of each element by their greatest common divisor (GCD). In this case, the GCD of 1 and 1 is 1.

Therefore, the empirical formula of the uranium chloride is UCl₁.

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i hope these 3 images helps

Answer:

8x-2

Step-by-step explanation:

3x^2+x^2-2

=6x+2x-2

=8x-2

Answer:

I used a calculator.

Step-by-step explanation:

mixed number form 3 1/3

exact form 10/3

Answer:

41. - 0.8

42. - 2.375

43. - 0.625

44. - 0.833

45. - 3.667

46. - 0.5

Step-by-step explanation:

Before reading this, every integer represents the whole amount, like 1 is 1 of something, 2 is 2 of something, 3 is 3 of something, and 4 is 4 of something.

1/5 = 0.2

1 - 0.2 = 0.8

1/4 = 0.25

1/8 = 0.125

1 + 1 = 2

0.25 + 0.125 = 0.375

2 + 0.375 = 2.375

3/8 = 0.375

1 - 0.375 = 0.625

2/3 = 0.667

1/2 = 0.5

4.5 - 3.667 = 0.833

1/2 = 0.5

1/6 = 0.167

2 + 1 = 3

0.5 + 0.167 = 0.667

3 + 0.667 = 3.667

1/4 = 0.25

0.25 x 2 = 0.5

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Answer:

a-4,8+_84(4+4(*:84

dirkrk

The component form of the vector that translates will be 11i - 17j.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The translation does not change the shape and size of the geometry. But changes the location.

The point A(-4, 8) is translated to the point A'(7, -9). Then the rule of the transformation is given as,

(7, - 9) = (- 4 + x, 8 + y)

Compare the abscissa, then we have

7 = - 4 + x

x = 7 + 4

x = 11

Compare the ordinate, then we have

y + 8 = - 9

y = - 8 - 9
y = - 17

The component form of the vector that translates will be 11i - 17j.

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Answer:

A

Step-by-step explanation:

\(\frac{1}{4}\) ÷ \(\frac{2}{3}\)

• leave first fraction

• change division to multiplication

• turn second fraction upside down

= \(\frac{1}{4}\) × \(\frac{3}{2}\)

= \(\frac{1(3)}{4(2)}\)

= \(\frac{3}{8}\) → A

Answer: 2/5

Step-by-step explanation:

the standard matrix of the linear transformation T: ℝ² → ℝ², which first reflects points through the line x₂ = -x₁ and then reflects points through the origin, is:

[ -1  0 ]

[  0  1 ]

To find the standard matrix of the linear transformation T: ℝ² → ℝ², we can determine how the basis vectors of ℝ² transform under the given transformation.

The standard basis vectors of ℝ² are:

e₁ = (1, 0) (corresponding to the x-axis)

e₂ = (0, 1) (corresponding to the y-axis)

First, let's apply the reflection through the line x₂ = -x₁:

For e₁ = (1, 0), the reflection through the line x₂ = -x₁ maps it to (-1, 0).

For e₂ = (0, 1), the reflection through the line x₂ = -x₁ maps it to (0, 1).

Next, let's apply the reflection through the origin:

For (-1, 0), the reflection through the origin keeps it the same (-1, 0).

For (0, 1), the reflection through the origin keeps it the same (0, 1).

Now, we have the transformed basis vectors:

T(e₁) = (-1, 0)

T(e₂) = (0, 1)

The standard matrix of the linear transformation T is constructed by placing the transformed basis vectors as columns:

[ -1  0 ]

[  0  1 ]

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The critical value of f at 0.05 level is 3.7083.

The ANOVA table breaks down the components of variation in the data into variation between treatments and error or residual variation. Statistical computing packages also produce ANOVA tables as part of their standard output for ANOVA, and the ANOVA table is set up as follows: Source of Variation and Sums of Squares (SS)

From given ANOVA table,

df of among treatments = 3066.63 / 1022.21 = 3

df Error = 13 - 3 = 10

Critical f value Fc = F(\alpha, d.f.1 , d.f.2) = F(0.05, 3 , 10) = 3.7083

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Complete question:

Step 7 of 8: What is the critical value of F at the 0.05 level? Please round your answer to four decimal places, if necessary.

Answer:  1

Step-by-step explanation:

But since we know that multiplication of one and any exponential number is equivalent to the exponential number itself. Now, we write the number 1 and the base number 8 zero times. Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1.

The product of (3 - √5)(7 - √5) simplifies to 26 - 10√5.

To multiply and simplify the expression (3 - √5)(7 - √5), we can use the distributive property of multiplication over addition. Here are the steps:

1. Start by multiplying the first terms in each set of parentheses: 3 * 7 = 21.

2. Then multiply the outer terms: 3 * (-√5) = -3√5.

3. Next, multiply the inner terms: -√5 * 7 = -7√5.

4. Finally, multiply the last terms: -√5 * -√5 = 5.

Now we can combine these terms to simplify the expression:

21 + (-3√5) + (-7√5) + 5

Combine the like terms: 21 + 5 - 3√5 - 7√5

Combine the constants: 21 + 5 = 26.

Combine the radical terms: -3√5 - 7√5 = -10√5.

The final simplified expression is: 26 - 10√5.

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Answer:

y = 0.10

Step-by-step explanation:

Using the equation, y = -0.44x + 886.7:

You can plug in the year (2015) as the value of x into the given equation. In doing so, you'll be able to determine what the value of y is (the amount of sea ice left).

y = -0.44x + 886.7

y = -0.44(2015) + 886.7

y = -886.6 + 886.7

y = 0.10

Therefore, the amount of sea ice left in 2015 is 0.10.  

Note: I'm not sure which unit of measure to follow because on the graph, it states that the "Area of Sea Ice" is (in millions of sq km); while in your given instructions, it states that "The scatterplot below shows the relationship between millions of square miles of arctic sea ice and the year."  I don't know if the unit of measure matters, but no matter what, the y-value should be 0.10.

The percentage increase in sales between June and July is 35.30%

According to the question,

The number of magazine sold in June = 17,000 copies

The number of magazine sold in July = 23,000 copies

The number of magazine sold in August = 21,000 copies

Difference in number of magazine sales in june and july = 23000 - 17000

= 6000 copies

Percentage = \(\frac{Number}{Total number} . 100\)

(a) The percentage increase in sales between June and July =

(6000 / 17000) × 100

=> 600 / 17

=> 35.30 %

Difference in number of magazines sold in July and august = 21000 - 23000

= -2000

(b) The percentage decrease in slaw between July and august =

(-2000/23000) × 100

=> -200 / 23

=>  -8.7 % decrease of sales

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Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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Answer:

A.) 6π/5

B.) 756°

Step-by-step explanation:

A.) \(216*\frac{\pi }{180} = \frac{6\pi }{5}\)

B.) \(\frac{21\pi }{5} *\frac{180}{\pi } = 756 ^{0}\)

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