Order the following numbers from least to greatest.
Put the least value on the left.

-4.75, -5.2, -9/2

Answer:

C

Step-by-step explanation:

As we can see, there are perfect squares in the first two expressions

thus, we have it that;

√(25x) = 5√x

√(4x) = 2√x

so we have the expression as;

5 √x - 2 √(x + 2 √x

= 5√x

To test the claim that more than 40% of failures in vehicular engines are due to problems in the cooling system, a hypothesis test can be conducted.

Let's define the null and alternative hypotheses as follows:

Null hypothesis (H0): The proportion of failures in vehicular engines due to problems in the cooling system is equal to or less than 40%.

Alternative hypothesis (Ha): The proportion of failures in vehicular engines due to problems in the cooling system is greater than 40%.

To conduct the hypothesis test, we need sample data. The study you mentioned should provide the necessary data on the number of failures in vehicular engines and the proportion attributed to problems in the cooling system.

Once the sample data is available, we can calculate the test statistic and the p-value to make a conclusion.

The test statistic depends on the type of data and assumptions made. If the data follows a binomial distribution, we can use the z-test for proportions. If the sample size is large enough (typically n > 30) and certain conditions are met, we can approximate the binomial distribution with a normal distribution.

To calculate the test statistic and p-value, we need the sample size, the number of failures due to cooling system problems, and the significance level (α) at which we want to test the hypothesis (typically 0.05 or 0.01).

Once we have the test statistic and p-value, we compare the p-value to the chosen significance level. If the p-value is less than the significance level, we reject the null hypothesis and conclude that there is evidence to support the claim that more than 40% of failures in vehicular engines are due to problems in the cooling system.

If the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim.

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Answer:

Probably $18 in total because if you count by 2 then you'll have your answer

1. b) Factorise ➾ y² - 20y + 100

1. d) Factorise ➾ 48 - 13p - p²

2. d) Factorise ➾ 18y² - y - 4

2. e) Factorise ➾ 4m² - 27m + 18

1. b) y² - 20y + 100

⇝ y² - 10y - 10y + 100 ( Splitting middle term )

⇝ y ( y - 10 ) - 10 ( y - 10 )

⇝ ( y - 10 )(y - 10 ) Ans.

1. d) -p² - 13p + 48

⇝ -p² - 16p + 3p + 48 ( Splitting middle term )

⇝ -p ( p + 16 ) + 3 ( p + 16 )

⇝ ( p + 16 )(3 - p ) Ans.

2.d) 18y² - y - 4

⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )

⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )

⇝ ( 2y - 1 )( 9y + 4 ) Ans.

2.e) 4m² - 27m + 18

⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)

⇝ 4m ( m - 6 ) - 3 ( m - 6 )

⇝ ( m - 6 )( 4m - 3 ) Ans.

Answer:

Step-by-step explanation:

A.  

a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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Answer:

a. three 30-60-90 triangles b. 6\(\sqrt{3}\) + 18 or 28.39

Step-by-step explanation:

b. 6\(\sqrt{3}\) + 2(6) + 6 = 6\(\sqrt{3}\) + 18 ≈ 28.39

Answer:

G.

Step-by-step explanation:

Length = Square root of Square area

= √8 (-√8 is rejected as length is positive)

We know that √4 < √8 < √9 because 4 < 8 < 9.

=> 2 < √8 < 3.

The only answer that is in this range is G.

The store has 16 board games

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

Let x = number of legos

Let y =  number of board games

Given ratio: 9:6= 9/6

x/y = 9/6

substitute x=24

24/y=9/6

Do cross multiplication

(6*24)/9=y

16=y

or

y=16

So, the store has 16 board games

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Answer:

Step-by-step explanation:

well you dont get an answer

The ratio of the depth of the liquid to the depth of the cup is 4/5.

Geometry and Ratio

The formula for the volume of a cone is:

\(V=\frac{1}{3}\pi r^{2}h\)

where r is the radius of the base of the cone and h is the height of the cone.

When the conical cup is filled with water, there will be a difference in the radius of the water and the cup and a difference in the height of the water and the height of the cup (can be seen in the picture).

From the difference in radius and height of the water with the conical cup, a ratio can be made of similarity rule of triangle (see picture).

If the radius of water is \(r_{1}\) and the height of water is \(h_{1}\), radius of cup is \(r_{2}\) and the height of cup is \(h_{2}\), so:

\(\frac{r_{1} }{r_{2} } =\frac{h_{1} }{h_{2} }\)

\(r_{1}\) with \(r_{2}\) and  \(h_{1}\) with  \(h_{2}\) have the same certain ratio. Let's assume the ratio is x, then it can be written:

\(r_{2}=x.r_{1} \\h_{2}=x.h_{1}\)

The ratio of the volume of water to the volume of the conical cup is 64/125, meaning that 64 of the water in the conical cup with a volume of 125.

From here we can substitute it in the volume ratio:

\(\frac{V_{1} }{V_{2}}=\frac{\frac{1}{3}\pi r_{1}^{2}h_{1} }{\frac{1}{3} \pi r_{2}^{2}h_{2}} =\frac{64}{125} \\\frac{V_{1} }{V_{2}}=\frac{\frac{1}{3}\pi r_{1}^{2}h_{1} }{\frac{1}{3} \pi (xr_{1})^{2}(x.h_{1})} =\frac{64}{125} \\\frac{V_{1} }{V_{2}}=\frac{\frac{1}{3}\pi r_{1}^{2}h_{1} }{\frac{1}{3}\pi r_{1}^{2}h_{1}x^{3} } =\frac{64}{125} \\\frac{V_{1} }{V_{2}}=\frac{1}{x^{3}}=\frac{64}{125}\\ \frac{1}{x^{3}}=\frac{64}{125}\\\\x^{3}=\frac{125}{64} \\x=\frac{5}{4}\)

The ratio between the radius and height of the cup and the water is 5/4. This means that the ratio between the radius and height of the water and the cup is 4/5.

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The amount of power that this turbine generate in a 25-mi/h wind is: A.1562.5 kW.

Using this formula to find the power that the turbine generated

P = aV³

Where:

P = Power = ?"

a = wind mill area perpendicular to the wind

V=  wind speed (m/s)

Let plug in the formula

P = (100 / 10³) x (25³)

P= (100/1000) × 15,625

P = 1562.5 KW

Therefore the correct option is A.

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Answer:

It's an irrational number

Step-by-step explanation:

Yes, 8.141141114 is not a rational number . it is a irrational number .generally we can find out a number is rational or irrational by seeing the number. If mentioned number were 8.141141141 then It would be a rational number because after point number 141 is repeated. Hence,Mentioned number is not look like that. so, it is a irrational number

The value of m from the exponent is 35.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as \(3^4\), where 4 is the exponent and 3 is the base.

Given:

\((x^m)\)³ = \((x^{13) ^5\) x \((x^{-8}) ^{-5}\)

Now, solving the exponents

\((x^m)\)³ = \((x^{65})\) x \((x^{40}) }\)

Now, using the property

\(x^m . x^n = x^{m+n}\)

So, \((x^m)\)³ = \((x^{65+ 40})\)

\((x^{3m})\) = \((x^{105})\)

Now, comparing the base

3m = 105

m= 105/3

m= 35

Hence, the value of m is 35.

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Answer:

see explanation

Step-by-step explanation:

An ordered pair is a set of coordinates (x, y )

This can be o point on a graph or the solution to a system of equations or values from a table

Answer: It's a point on a graph (y,x)

Step-by-step explanation:

The degree of the polynomial h(x) is 2.

The degree of a polynomial is determined by the highest power of the variable present in the polynomial.

Let's analyze the given expression:\(f(g(x)) \times g(h(x)) \times h(f(x)).\)

Since f(x) has a degree of 6, g(x) has a degree of 3, and h(x) is a polynomial, we can determine the degree of h(x) by examining the degree of the resulting polynomial.

When we substitute g(x) into f(x), the resulting polynomial will have a degree of\(6 \times 3 = 18,\) since we are effectively raising the degree of f(x) to the power of 3.

Similarly, when we substitute h(x) into g(x), the resulting polynomial will have a degree of \(3 \times h,\) since we are effectively raising the degree of g(x) to the power of h.

Lastly, when we substitute f(x) into h(x), the resulting polynomial will have a degree of h \(\times\) 6 since we are effectively raising the degree of h(x) to the power of 6.

Since the overall polynomial expression has a degree of 36, we can set up the equation:

\(18 + 3 \times h + 6 \times h = 36\)  

Simplifying the equation, we get:

9h + 18 = 36

9h = 18

h = 2

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Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

D

Step-by-step explanation:

According to the Triangle Midsegment Theorem Sam's claim is false.

Since UX ≠ VW, Sam's claim that UX is equal to half the length of VW is false.

According to the Triangle Midsegment Theorem, a midsegment of a triangle is parallel to the third side and is equal to one-half the length of the third side.

In this case, the third side is VW and the midsegment is UX.

However, UX is not parallel to VW, so Sam's claim is false.

We can also prove Sam's claim is false by calculating the lengths of UX and VW.

Since U is the midpoint of TV, and X is the midpoint of TW, it follows that the length of UX is equal to one-half the sum of the lengths of TV and TW,

UX = (TV + TW)/2.

Similarly, since V is the midpoint of TW, the length of VW is equal to one-half the sum of the lengths of TW and TV,

VW = (TW + TV)/2.

Since UX ≠ VW, Sam's claim that UX is equal to half the length of VW is false.

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The y-intercept of the line of fit is 80, which means that a student who studies for 0 hours is predicted to earn 80% on the test.

This means that even if a student does not study at all, they are predicted to earn a grade of 80% on the test based on the relationship between the amount of time spent studying and the grades earned on the test. This y-intercept value is also the predicted grade if the student did not study at all.

However, it is important to note that this prediction is based solely on the linear relationship observed in the given data and may not necessarily hold true for all cases or situations.

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To show that f(x) = x^4 + 9x^3 + 4x + 7 is o(g(x)) as x approaches infinity, where g(x) = x^4, we need to demonstrate that the limit of f(x)/g(x) is 0 as x approaches infinity.

Let's calculate the limit:

lim(x→∞) [f(x)/g(x)]

= lim(x→∞) [(x^4 + 9x^3 + 4x + 7)/x^4]

= lim(x→∞) [1 + (9/x) + (4/x^3) + (7/x^4)]

As x approaches infinity, the terms (9/x), (4/x^3), and (7/x^4) all tend to 0. Therefore, we have:

lim(x→∞) [f(x)/g(x)]

= lim(x→∞) [1 + 0 + 0 + 0]

= 1

Since the limit is not equal to 0, we can conclude that f(x) = x^4 + 9x^3 + 4x + 7 is not o(x^4) as x approaches infinity.

In other words, f(x) grows at the same rate or faster than x^4 as x becomes large.

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Answer:

wait do u have a word bank or anything like words to go with it or numbers ????

The average value of your account during the first 4 years is,

= $8120

Now, We can use the formula,

⇒ \(A = P e^{rt}\)

Where, A is the new amount

P is the principal investment (or initial amount)

r is the rate (in decimal form)

t is the time (in years)

Here, P = $7,000

r = 7% = 0.07

t = 4 years

Hence, We get;

A = 7000 \(e^{0.07 * 4}\)

A= 7000 × \(e^{0.28}\)

A = 7000 × 1.32

A = $9,240

Hence, To find the average, we add the values and divide by the number of years.

= (7000 + 9,240) / 2

= 16,240/2

= 8120

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Answer:

poop

Step-by-step explanation:

hajdguhfgifddutsyyutsssuiycxddy

Answer:

please provide the image! would love to help.

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

I took the test

The area in square ft that is covered by the department would be = 9,600 ft²

The length of the retail store = 160 ft long

The width of the retail store = 120 ft wide

The formula used to calculate the area of a square= length × width

A = 160×120

= 19,200

The area of the retail = 19,200/2 = 9,600 ft²

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The median score will be the score in the 43th position.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. It is a measure of central tendency. Other measures of central tendency are mean and mode.

87 / 2 = 43.5

The median is 43.

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