Select ALL the expressions that are equivalent to (x^2)(square root of x).​

The sum of the measures of the angle of a triangle is 180 degrees.

The given triangle is a type of triangle and the type of triangle a scalene triangle.

For a scalene triangle, the measure of the three sides are unequal and the sum of the interior angle of a triangle is 180 degrees.

Hence the measure of the angles <A, <B and <C are all less than 90 degrees since they are all acute angles.

We can therefore conclude that:

m<A + m<B + m<C = 180 degrees

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After considering the orientation of the element we can say that if ε1 and ε2 have the same sign, the strain component εx' will dominate and deform the element in the x' direction.

To determine which strain component deforms the element in the x' direction, we need to consider the orientation of the element and the strain components in the coordinate system aligned with the element.

Let's assume we have two strain components: εx' and εy', representing the strains in the x' and y' directions, respectively.

Given that the orientation of the element is θp = -15.2°, we can relate the strain components εx' and εy' to the principal strains ε1 and ε2 using the following equations:

εx' = ε1 * cos^2(θp) + ε2 * sin^2(θp)

εy' = ε1 * sin^2(θp) + ε2 * cos^2(θp)

To determine which strain component deforms the element in the x' direction, we need to compare the magnitudes of εx' and εy'. Since the element is deforming in the x' direction, we are interested in the strain component that contributes more to the deformation.

Comparing the coefficients in the equations above, we can see that the terms involving cos^2(θp) contribute to εx', while the terms involving sin^2(θp) contribute to εy'.

Given θp = -15.2°, cos^2(θp) is greater than sin^2(θp). Therefore, εx' will be larger than εy' if ε1 and ε2 have the same sign.

In summary, if ε1 and ε2 have the same sign, the strain component εx' will dominate and deform the element in the x' direction.

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Answer:

Yes

Step-by-step explanation:

Domain : 0 ≤ x ≤ 8

Range : 0 ≤ y  ≤ 56

Answer:

2/15

Step-by-step explanation:

4/10 * 3/9 = 12/90 = 2/15

Answer:

Step-by-step explanation:

find the semiperiter (1/2 perimeter or L+W)

80 : 2 = 40

now we know that 4z + 2 + 3z + 3 = 40

we solve for z with an equation

4z + 2 + 3z + 3 = 40

7z = 40 - 2 - 3

7z = 35

z = 35 : 7

z = 5

now we find CD

3z + 3 =      (z=5)

3 * 5 + 3 =

15 + 3 =

18

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

check (remember pemdas)

4z + 2 + 3z + 3 = 40

4*5+2+3*5+3 = 40

20+2+15+3=40

40 = 40

the answer is good

The simplest form of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Both given expressions are not equivalent.

What is an expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given expression is 3x + 14 – x + \(1\frac{1}{2}\)

Now combine like terms:

= (3x - x) + (14 + \(1\frac{1}{2}\))

= 2x +  (14 + \(1\frac{1}{2}\))

Convert mixed fraction to improper fraction:

= 2x +  (14 + 3/2)

= 2x + 31/2

= 2x + \(15\frac{1}{2}\)

The equivalent expression of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Therefore, 3x + 14 – x + \(1\frac{1}{2}\) is not equivalent to 4x + \(1\frac{3}{4}\).

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

No, it does not have infinite solutions.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

\(-7+5x=5x+9\\\rule{150}{0.5}\\\\\rightarrow -7 + 5x = 5x + 9\\\\\rightarrow -7 + 5x - 5x = 5x - 5x +9\\\\\rightarrow -7 = 9\)

⸻⸻⸻⸻

The result is a contradiction. It has no real solutions.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

To determine which planks Amanda should use to build the triangular-shaped kennel:

Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

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Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2

The probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/10.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is the sum of the probabilities of the two events occurring together for the outcomes where the pointer is on 1, 2, or 4 and the coin is heads up. From the table, we see that this occurs for the outcomes (H, 1), (H, 2), and (H, 4), which have a total probability of:

P(H and 1 or 2 or 4) = P(H and 1) + P(H and 2) + P(H and 4)

= 1/10 + 1/10 + 1/10

= 3/10

Therefore, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/10.

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Answer:

7 groups of 4.

Step-by-step explanation:

hope this helps!

The factored expression of the expression given as -6x² + 18x is -6x(x - 3)

The expression is given as

-6x² + 18x

Group the expression in 2's

So, we have

-6x² + 18x= (-6x² + 18x)

Factor each group

So, we have

-6x² + 18x= x(-6x + 18)

Rewrite as

-6x² + 18x= -6x(x - 3)

Hence, the factored expression is -6x² + 18x= -6x(x - 3)

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Answer:

225, 256, 441, 484

Step-by-step explanation:

Only square numbers can have an odd number of factors, e.g. 4: 1, 2, 4

Therefore only square numbers can have 9 factors.

There are only 8 square numbers between 200 and 500: 225, 256, 289, 324, 361, 400, 441, 484.

One way is to list all the factors of each number and you will find that only 225, 256, 441 and 484 have 9 factors.

The other more efficient way is to acknowledge the fact that if a square number (n x n) has 9 factors, n must have only 4 factors. For example, 225 has 9 factors because it is equal to 15 squared and 15 only has 4 factors: 1, 3, 5, 15.

This way, we can find out that 15, 21 and 22 have exactly 9 factors. However, 256 has 9 factors as well as it is equivalent to 2 to the power of 8. This means that it already has 8 factors: 2, 4, 8, 16...,128, 156. However, we must include 1 as a factor which means it has 9 factors in total as well.

Answer:

32,14 minutes

Step-by-step explanation:

5.6 calories per hour = 5.6 x 60 = 336 calories per hour
So in 1 hour, that person will lose 336 calories

To lose only 180 calories time he should walk = 180/336 hour = 180/336 x 60 = 32,14 minutes

We can figure out our answer is in the ballpark by noting that 336/2 = 168

So to lose 168 calories, the person should walk for 1/2 hour so since 180 is slightly greater than 168, the person should walk for slightly more than half-hour

The type of sampling used in this scenario is systematic sampling.

Systematic sampling involves selecting every nth individual from a population, where n is a constant interval. In this case, Kenneth collects data from every 6th person on the list, which indicates a systematic sampling approach.

what is interval?

In the context of statistics, an interval refers to a range of values between two points. It represents a specific segment or portion of a numerical scale.

Intervals are commonly used to describe the range of values within which a particular statistic or parameter is expected to lie. For example, a confidence interval provides an estimate of the range within which a population parameter, such as a mean or proportion, is likely to fall.

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Answer:

median then mean then range

The 95% confidence interval for the weights of the special type of rock is given as (2.62, 6.80). The margin of error can be calculated by finding the difference between the upper and lower bounds of the interval, then dividing by 2.
Margin of error = (6.80 - 2.62) / 2 = 4.18 / 2 = 2.09 pounds

The margin of error for this 95% confidence interval can be calculated as half of the width of the interval.

Width of interval = upper limit - lower limit = 6.80 - 2.62 = 4.18

Therefore, the margin of error will be half of the width of the interval, which is 4.18/2 = 2.09.

So, the margin of error for this 95% confidence interval is 2.09 pounds. This means that if we were to take multiple samples of this special type of rock and construct 95% confidence intervals for each sample, about 95% of the intervals would contain the true population weight of the rock, with a margin of error of 2.09 pounds.

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Answer:

For example, try entering the equation 3x+2=14 into the text box. ... Here are some examples: y=2x^2+1, y=3x-1, x=5, x=y^2. To graph ... enter the expression you want to evaluate,  want to    

Step-by-step explanation:

The integral of 3 from 1 to x can be expressed as the limit of a Riemann sum, where the sum of 3 times the width of each interval approaches the integral as the number of intervals becomes infinitely large.

To express the integral 3 1 dx as a limit of a Riemann sum, we divide the interval [1, x] into smaller subintervals. Let's denote the number of subintervals as n. The width of each subinterval is Δx = (x - 1) / n.

Now, we can approximate the integral using a Riemann sum:

∑(i=1 to n) 3Δx

This sum represents the sum of the areas of n rectangles, where the height of each rectangle is 3 and the width is Δx. The total width of all the rectangles is (x - 1), so the sum simplifies to:

3 * ∑(i=1 to n) Δx

As n approaches infinity, Δx approaches zero. Taking the limit as n approaches infinity, we get:

lim(n→∞) 3 * ∑(i=1 to n) Δx

This limit represents the Riemann sum approaching the value of the integral:

∫[1, x] 3 dx

Thus, the integral 3 1 dx can be expressed as the limit of the Riemann sum:

lim(n→∞) 3 * ∑(i=1 to n) Δx

Note that we didn't evaluate the limit or provide the exact value of the integral because the question only asked for the expression as a limit of a Riemann sum.

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Answer:a=70

c=110

b=110

Step-by-step explanation:

The solution is in the attached file filatache

Answer:

A = 70

B = 110

C = 110

Step-by-step explanation:

A is opposite of the 70 degree angle, and vertical angles are equal, so it is also 70 degrees.

A straight line is 180 degrees, so 70 + B = 180, making B = 110 degrees.

Both of these rules apply for C, making it also 110 degrees.

The most appropriate choice for fraction will be given by -

8 children are allowed to use social media.

What is fraction?

Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

Here,

Total number of children in class of Ms Bryant = 32

Fraction of students who use social media = \(\frac{1}{4}\)

Number of children who use social media = \(\frac{1}{4} \times 32\)

                                                                       = 8

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Mr. Castinelli should receive 20 cartridges of the 2% lidocaine anesthetic solution, and the maximum number of cartridges allowed is 20, as it stays within the safe dosage limit of 748 mg.

To calculate the appropriate dose of a 2% lidocaine anesthetic solution for Mr. Castinelli, we need to consider his weight and the maximum safe dosage for lidocaine.

1. Determine the maximum safe dosage of lidocaine:
The maximum safe dosage for lidocaine is 4.4 mg per pound of body weight. Since Mr. Castinelli weighs 170 pounds, we'll multiply his weight by the maximum safe dosage:
170 pounds * 4.4 mg/pound = 748 mg

2. Calculate the amount of lidocaine in a cartridge:
A 2% lidocaine solution contains 20 mg of lidocaine per milliliter. Each cartridge usually has 1.8 mL, so we can calculate the amount of lidocaine in a single cartridge:
20 mg/mL * 1.8 mL = 36 mg

3. Determine the number of cartridges needed for Mr. Castinelli:
To find the number of cartridges needed, we'll divide the maximum safe dosage by the amount of lidocaine in a cartridge:
748 mg / 36 mg/cartridge = 20.8 cartridges

Since you cannot use a fraction of a cartridge, we'll round down to the nearest whole number, which is 20 cartridges.

In conclusion, Mr. Castinelli should receive 20 cartridges of the 2% lidocaine anesthetic solution, and the maximum number of cartridges allowed is 20, as it stays within the safe dosage limit of 748 mg.

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Answer:

B. 44cm

Step-by-step explanation:

d(diameter) = 2r (radius)

d = 2 X 22 cm

d = 44 cm

Answer:

A+last one B=second one

Step-by-step explanation:

Answer:

a) 6× + 54

= 6•x +6•9

= 6(x + 9)

b) 9 + 13y - 3 - y = 12y + 6

The cosine function with amplitude 2 and period 6π is given by:

y = 2cos(x/3).

The standard cosine function is given by:

y = Acos(Bx).

In which:

For a cosine function with amplitude 2 and period 6π, we have that A = 2 and B = 1/3, hence:

y = 2cos(x/3).

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Answer: 3

Step-by-step explanation:

Only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane. So, correct option is A.

In the 1H NMR spectrum, the number of singlets corresponds to the number of unique hydrogen environments in the molecule. Each unique hydrogen environment, where the hydrogens are chemically equivalent, will produce a singlet peak.

In 2,2,4,4-tetramethylpentane, all the carbons are identical, and each carbon is bonded to three hydrogen atoms. The four methyl groups (-CH3) are also chemically equivalent to each other. Therefore, all the hydrogens in this molecule are in equivalent environments, and there are no differences between them.

Since all the hydrogens are chemically equivalent, they will produce a single peak in the 1H NMR spectrum. This single peak is called a singlet.

Hence, the correct answer is option a, as only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane.

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Answer: Two singlets.

Step-by-step explanation:

The methyl groups are all equivalent with no neighbors, so they all give rise to only 1 peak.

There is a methylene group that gives rise to another peak.

So the total is 2 singlets.

Answer:

Money

Step-by-step explanation:

Ads help provide money for the company.

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