click on the measurement that is equal to 24 kilograms
240 grams
24000 grams
2400 grams
240,000 grams

Answer:

x = -4

Step-by-step explanation:

used app by google called Socratic, it can solve a ton of problems

Answer:

x = -4

Explanation:

[ Step 1: Simplify both sides of the equation ]

4(x + 4 ) = 24 + 6x

(4)(x) + (4)(4) = 24 + 6x (Distribute)

4x + 16 = 24 + 6x

4x + 16 = 6x + 24

[ Step 2: Subtract 6x from both sides ]

4x + 16 − 6x = 6x + 24 − 6x

−2x + 16 = 24

[ Step 3: Subtract 16 from both sides ]

−2x + 16 − 16 = 24 − 16

−2x = 8

[ Step 4: Divide both sides by -2 ]

-2x / -2 = 8 / -2

x = -4

The function rule for this question is d = 90t.

The rate of the cheetah is given as 90 feet per second. The distance travelled by the cheetah is a function of seconds travelled. Let the distance be denoted as d and the time be denoted as t. The function is therefore a linear function of the form y = mx + b.

The equation can be expressed as d = 90t + b. The constant b is the initial distance travelled at time zero since the rate is constant. Therefore, b is zero when the time is zero. The final equation is given as follows: d = 90t, where d is the distance travelled, t is the time and 90 is the rate or speed of the cheetah.

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We can estimate the expected number of clutch plates with

wear of more than 203 mm as:

\(0.7 \times \text{total number of clutch plates}\)

To estimate the average wear and variance, we first calculate the sample

mean and sample variance:

Sample mean:

\(\bar{x} = \frac{1}{n}\sum_{i=1}^{n}\)

\(x_i = \frac{204.5 + 231.1 + 157.5 + 190.5 + 261.6 + 127.0 + 216.6 + 172.7 + 243.8 + 291.0}{10} = 213.3\)

Sample variance:

\(s^2 = \frac{1}{n-1}\sum_{i=1}^{n}\)

\((x_i - \bar{x})^2 = \frac{(204.5 - 213.3)^2 + (231.1 - 213.3)^2 + ... + (291.0 - 213.3)^2}{9} = 3415.5\)

To estimate the proportion of clutch plates with wear of more than 203

mm, we first need to calculate the sample proportion:

\({number of linings with wear more than 203 mm}{\text{total number of linings}} = \frac{7}{10} = 0.7\)

To estimate the proportion for a large set of clutch plates, we assume

that the sample proportion is equal to the population proportion.

Therefore, we can estimate the expected number of clutch plates with

wear of more than 203 mm as:

\(0.7 \times \text{total number of clutch plates}\)

However, we don't know the total number of clutch plates in the

population, so we cannot provide a specific estimate.

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Answer:

It is an obtuse triangle I think because

Answer:

£1,120

Step-by-step explanation:

The computation of the total money earned is given below:

Given that

Ratio of children to adult be 2;3

There is 80 children

each adult cost is  £8

And for children it is quarter of adult i.e  £8 ÷ 4 =  £2

For children there is an earning of

= 80 ×  £2

=  £160

And, for adult it would be

but before that the number of adults be

Let us assume the number of adults be x

\(\frac{2}{3} = \frac{80}{x}\)

After cross multiplication, the number of adult be 120

So the adult earning be

= 120 ×  £8

=  £960

So, the total money made would be

=  £960 +  £160

= £1,120

The angle of elevation of the ramp to the nearest degree is 34°.

we can use trigonometry to determine the angle of elevation of the ramp.To begin, we need to draw a diagram to visualize the problem.

Let's assume that the height of the end of the ramp is h, and the horizontal distance from the bottom of the ramp to the building is d.

From the diagram, we can see that we have a right-angled triangle where the height of the triangle is h, the base of the triangle is d, and the hypotenuse of the triangle is the length of the ramp.

Using the tangent ratio, we can write:

tanθ = opposite/adjacent

where opposite is the height of the triangle, and adjacent is the base of the triangle. Substituting the values we have, we get:

tanθ = h/d

Rearranging this formula, we can write:

θ = tan⁻¹(h/d)

Substituting the values we have, we get:θ = tan⁻¹(10/15)θ = 33.69°

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Answer:

2

Step-by-step explanation:

-20 divied by -10 is two

2 negavties make a positive

Answer:

2

Step-by-step explanation:

When both numbers are negative it canals out so the answer is positive.

Answer:

$4.45

Step-by-step explanation:

First, we try to find the slope of the table. We can do this by doing the following-  \(\frac{Change \ in \ y }{Change \ in \ x}\)

When we do this, we find that the slope (or the change in y / change in x) is equal to 5.27

Now we subtract this from the slope of the price of steak at Store B which is 9.72

\(9.72-5.27 = 4.45\)

You get 4.45 which is $4.45 or 4 dollars and 45 cents.

Answer:

\(2x + 9 = y \\ - 4x - 3 = y \\ so \: both \: equation \: is \: equal \\ 2x + 9 = - 4x - 3 \\ 2x + 4x = - 3 - 9 \\ 6x = - 12 \\ x = \frac{ - 12}{6} \\ x = - 2\)

The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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Answer:

NO.

Step-by-step explanation:

The problem states the shirt is 25% OFF the original price not 25% OF it. Therefore after solving how much of it is 25% which in this case is $5, you would have to subtract that 25% from the original price. 25-5=20. The correct answer is $20.

Answer:

B

Step-by-step explanation:

Answer:

\(( {7a}^{2} \times {a}^{4} ) + ({7a}^{2} \times {5a}^{3}) + ( {7a}^{2} \times 4) = {7a}^{6} + {35a}^{5} + {28a}^{2} \)

Based on the given information, Jane should not search for the doll any more. The cost of searching outweighs the potential savings she might gain by finding a lower price.

In this scenario, Jane has already visited one shop and found the doll priced at $100. She knows that the doll is offered at three different prices: $120, $100, and $80, with unknown probabilities (represented as odds). Each additional search incurs a cost of $5.

To determine whether Jane should search for the doll again, we need to compare the expected cost of searching with the potential savings. Given the information provided, we do not have the probabilities associated with each price, so we cannot calculate the exact expected savings. However, we can make an informed decision based on the given information.

Since the current price of the doll is $100 and the potential savings from finding a lower price are uncertain, Jane should consider the cost of searching. With a search cost of $5 per search, it is unlikely that the potential savings from finding a lower price would offset the additional cost incurred by searching. Therefore, it is advisable for Jane not to search for the doll any more, as the cost of searching exceeds the expected savings.

It's important to note that a definitive decision would require more information, such as the probabilities associated with each price. However, based on the given information, the best course of action for Jane is to refrain from further searching.

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You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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Given:

Last year 80 students signed up for a summer trip to Washington, D.C.

This summer 50 students have signed up to go.

To find:

The percent decrease in the number of students.

Solution:

We have,

Students in last year = 80

Students in this year = 50

Now,

\(\text{Decrease}\%=\dfrac{\text{Students in last year - Students in this year }}{\text{Students in last year }}\times 100\)

\(\text{Decrease}\%=\dfrac{80-50}{80}\times 100\)

\(\text{Decrease}\%=\dfrac{30}{80}\times 100\)

\(\text{Decrease}\%=\dfrac{3}{8}\times 100\)

\(\text{Decrease}\%=37.5\)

Therefore, the correct option is B.

The technology you are referring to is called Modified Atmosphere Packaging (MAP).

The technology that uses gases such as carbon dioxide or argon to create an air cushion is called Modified Atmosphere Packaging (MAP). MAP involves replacing the air inside a package with a desired gas mixture to extend the shelf life of the packaged product. The use of MAP is common in the food industry, where it helps to preserve the freshness of food products.
This technology uses gases like carbon dioxide and argon to create an air cushion, which enhances the shelf life of products by inhibiting the growth of microorganisms and slowing down oxidation processes.

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Interpreting Mary's performance capabilities based solely on her fatigue index is not possible without additional context.

To calculate the percentile rank for Mary's fatigue index of 28.5, you would need a reference group of individuals with fatigue index scores. Without this information, it is not possible to determine her specific percentile rank.

However, generally speaking, a percentile rank represents the percentage of individuals in a reference group who have a fatigue index lower than Mary's score.

For example, if Mary's fatigue index is at the 60th percentile, it means she performed better than 60% of the reference group.

Interpreting Mary's performance capabilities based solely on her fatigue index is not possible without additional context or information about her performance in specific tasks or activities related to fatigue.

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The best estimate of fraction is 131.445.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is \(\frac{1}{2}\)

Given Data

31\(\frac{3}{4}\) × 4\(\frac{1}{7}\)

Solving mixed fractions

\(\frac{127}{4}\) × \(\frac{29}{7}\)

31.75 × 4.14

Multiplying

131.445

The best estimate of fraction is 131.445.

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The concept of consecutive integers is explained as follows:

Consecutive numbers, or consecutive integers, are integers that follow each other in order. The difference between any two consecutive numbers is always 1. For example, the consecutive numbers starting from 1 would be 1, 2, 3, 4, 5, and so on. Similarly, the consecutive numbers starting from -3 would be -3, -2, -1, 0, 1, 2, and so on.

It is important to note that if we have a consecutive sequence of integers, one number will be even, and the next number will be odd. This is because the parity (evenness or oddness) alternates as we move through consecutive integers.

Furthermore, the sum of two consecutive numbers (and, in fact, the sum of any number of consecutive numbers) is always an odd number. This is because when we add an even number to an odd number, the result is always an odd number.

To generate a sequence of consecutive integers, we can start with any integer n and then use n, n+1, n+2, and so on to obtain consecutive integers. For example, if n is an integer, then n, n+1, and n+2 will be consecutive integers.

Here are some examples of consecutive integers:

- Starting from 1: 1, 2, 3, 4, 5, ...

- Starting from -3: -3, -2, -1, 0, 1, 2, ...

- Starting from 1004: 1004, 1005, 1006, 1007, ...

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The complex numbers -2.7e^(√7) + 4.3e^(√5) can be expressed as approximately -6.488 - 0.166i in rectangular form and approximately 6.494 ∠ -176.14° in polar form.

To express the given complex numbers in rectangular form and polar form, we need to understand the representation of complex numbers using exponential form and convert them into the desired formats. In rectangular form, a complex number is expressed as a combination of a real part and an imaginary part in the form a + bi, where 'a' represents the real part and 'b' represents the imaginary part.

In polar form, a complex number is represented as r∠θ, where 'r' is the magnitude or modulus of the complex number and θ is the angle formed with the positive real axis.

To convert the given complex numbers into rectangular form, we can use Euler's formula, which states that e^(ix) = cos(x) + isin(x), where 'i' is the imaginary unit. By substituting the given values, we can calculate the real and imaginary parts separately.

The real part can be found by multiplying the magnitude with the cosine of the angle, and the imaginary part can be obtained by multiplying the magnitude with the sine of the angle.

After performing the calculations, we find that the rectangular form of -2.7e^(√7) + 4.3e^(√5) is approximately -6.488 - 0.166i.

To express the complex numbers in polar form, we need to calculate the magnitude and the angle. The magnitude can be determined by calculating the square root of the sum of the squares of the real and imaginary parts. The angle can be found using the inverse tangent function (tan^(-1)) of the imaginary part divided by the real part.

Upon calculating the magnitude and the angle, we obtain the polar form of -2.7e^(√7) + 4.3e^(√5) as approximately 6.494 ∠ -176.14°.

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Answer:

7

Step-by-step explanation:

Simply subtract 6 from 13.

13-6=7

Hope this helps! :)

Answer:

option A is the answer.

Because the sum of two smaller sides of a traingle should be larger then third side. This condition is only fulfilled in option A.

15+25= 40 which is more then 38.

while in other options it's either equal or smaller then third side.

Answer:

The third option I think

Step-by-step explanation:

Answer:

b) <D=<T

I am 78% sure this is the right answer

but remeber: "if you can't figer it out then draw it out"

Answers:

=============================================================

Explanation:

We don't have enough information to nail down exact figures, but we can make a range estimate.

The two people (call them A and B) share the profits in the ratio of 4 to 5

In shorthand notation, we can say the ratio is 4:5

This means person A gets 4x dollars while person B gets 5x dollars

The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.

The total profit is therefore 4x+5x = 9x dollars

This expression 9x is between 1800 and 3600 dollars, including both endpoints

We then can say...

\(1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400\)

We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.

The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.

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

To summarize:

The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.

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

Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.

Answer:

3/8

Step-by-step explanation:

Since the greatest is 3 1/2 and the least it 3 1/8

3 1/2 - 3 1/8 = 3/8

Answer:

m  = 2

m = 2,75

Step-by-step explanation:

Được-

Phương trình =

4 ^ x + 4 ^ -x = 2 ^ (x + 1) - 2 ^ (1-x) + 4-m

Thay các giá trị của x = 0 vào phương trình đã cho ta được

4 ^ 0 + 4 ^ -0 = 2 ^ (0 + 1) - 2 ^ (1-0) + 4-m

1 +1 = 2 -2 + 4-m

m = 4-2 = 2

Thay các giá trị của x = 1 vào phương trình đã cho ta được

4 ^ 1 + 4 ^ -1 = 2 ^ (1 + 1) - 2 ^ (1-1) + 4-m

4 + 0,25 = 4 - 1 + 4 -m

m = 7-4,25 = 2,75

On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.

In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.

The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).

\(K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}\)

Curvature of the given curve at x=0x=0 is

=> K not equal to 0 at x= 0

so,

center of curvature exists.

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