there were twice as many four-door cars as two-door cars in the parking lot. there were 36 cars in the lot. how many had four doors? how many had two doors?

Answer:

190 miles

Step-by-step explanation:

If Jenna’s age is x, the equation that represents the situation is; C. x + 5 = (x + 5) − 5, which has no solution

We are given;

Jessica is 5 years older than her sister Jenna.

If Jenna is x years old, then;

Jessica's current age = x + 5

Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago. Thus;

Jenna's age in 5 years time = (x + 5) - 5

This means that Jenna'a age in 5 years time normally is (x + 5). Thus, we will now have the equation;

x + 5 = (x + 5) − 5, which has no solution

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Answer:

Train B is going faster than Train A

Step-by-step explanation:

The distance travelled by Train A, d = 80t

The distance travelled by Train B is given as follows;

Time (hours)  \({}\)                     Distance (km)

2                   \({}\)                         190

4                   \({}\)                         380

5                   \({}\)                         475

Therefore, we have that the rate of change of Train B is given as follows;

(475 - 380)/(5 - 4) = 95 km/h

(475 - 190)/(5 - 2) = 95 km/h

The rate of change of Train B = 95 km/h

While the distance covered by Train A per 1 hour, t = 1 is given as follows

Distance covered in 1 hour for Train A, d = 80 ×  1 = 80 kilometers

The rate of train A = Distance covered/(Time in which the distance was covered)

The rate of train of change A = 80 km/(1 hour) = 80 km/hour

The rate of train of change A = 80 km/h

Therefore, Train B is going faster than Train A.

Answer:

Step-by-step explanation:

5,4,6

5×4=20 and 20×6=120

Answer:

Step-by-step explanation:

266

The value of x for the triangles will be equal to 26.

A triangle is a two-dimensional shape having three sides connected to each other. The sum of the angles of the triangle is equal to 180 degrees. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that the degree measures of the angles of ABC are represented by x, 3x, and 5x - 54.

The value of the x will be calculated as,

∠A + ∠B + ∠C = 180

x + 3x + 5x - 54 = 180

9x - 54 = 180

9x = 234

x = 234 / 9

x = 26

Therefore, the value of x for the triangles will be equal to 26.

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Answer:

(x+6)^2 + ( y +3)^2 = 144

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 +(y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -6)^2 + ( y - -3)^2 = 12^2

(x+6)^2 + ( y +3)^2 = 144

Answer:

x² + y² + 12x +6y - 99 = 0

Step-by-step explanation:

Given :

Using the Standard equation of circle ,

The correct relationship between Student's t-distribution and the standard normal distribution is option B: as the sample size approaches infinity, the Student's t-distribution approaches the standard normal distribution.

The sample mean's estimation of the population mean is less precise and the sample mean's distribution is more erratic when the sample size is small. Because the distribution of t-values is more skewed as a result, the student's t-distribution has thicker tails than the traditional normal distribution.

The sample mean's distribution, however, narrows as sample size increases, making it a more precise reflection of the population mean. The student's t-distribution resembles the traditional normal distribution as a result of the narrowing of the t-value distribution.

For the ordinary normal distribution to accurately approximate the student's t-distribution in practice, a sample size of 30 or more is frequently thought to be sufficient.

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Correct question:

what is the relationship between student's t distribution and the standard normal distribution?

student's t will approach to standard normal distribution as the sample size approachs 0.

student's t will approach to standard normal distribution as the sample size approachs infinite

standard normal distribution will approach to student's t distribution as the sample size approachs 0

standard normal distribution will approach to student's t distribution as the sample size approachs infinite.

Answer:

371.5

Step-by-step explanation:

Answer: 371.50

Work: Since B = 10, you add 10 to 2b, and you get the equation 351.50 + 20. After addition, you get 371.50.

I hope this helps, and Happy Holidays! :)

To estimate the cost of a new 3000-ft² heat exchange system for a plant retrofit, we can use the price index and the information about the cost of a previous heat exchanger. Given that the price index 7 years ago was 1360 and is now 1478, and assuming a power-sizing exponent of 0.55, rough estimate for the cost of the new heat exchanger system is $77,700.

To estimate the cost, we need to account for the change in the price index over the years. The price index ratio is calculated as (new price index)/(old price index), which in this case is 1478/1360 = 1.085. Since the power-sizing exponent is 0.55, we raise the price index ratio to the power of 0.55, resulting in \(1.085^{0.55 {\)≈ 1.036.

Next, we multiply the cost of the previous heat exchanger by this factor to estimate the cost of the new system. The cost of the previous heat exchanger was $75,000, so the rough estimate for the cost of the new heat exchanger system is approximately $75,000 × 1.036 ≈ $77,700.

It's important to note that this estimate is a rough approximation and does not account for other factors such as inflation or changes in technology. It serves as a starting point for estimating the cost of the new heat exchanger system based on the given information and assumptions.

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Answer:

C. \(z = -20\sqrt{3}-i\,20\)

Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

\(z = a+i\,b\) (1)

Where each coefficient can be determined as function of the polar components:

\(a = r\cdot \cos \theta\) (2)

\(b = r\cdot \sin \theta\) (3)

Where:

\(r\) - Magnitude of the complex number, dimensionless.

\(\theta\) - Direction of the complex number, measured in radians.

If we know that \(r = 40\) and \(\theta = \frac{7\pi}{6}\), then the rectangular form of the number is:

\(a = 40\cdot \cos \frac{7\pi}{6}\)

\(a = -20\sqrt{3}\)

\(b = 40\cdot \sin \frac{7\pi}{6}\)

\(b = -20\)

The rectangular form of \(z=40\cdot\left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6}\right)\) is \(z = -20\sqrt{3}-i\,20\). The correct answer is C.

Answer: c

Step-by-step explanation:

edge

Answer:

1/2-x+6≥x-15

Step-by-step explanation:

The excretion  Superscript one-eighth Beeline is

\(\left(x^{\frac{1}{8}}\right)\left(x^{\frac{3}{8}}\right)=12\)

What is exponential identity?

An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.

To find, the possible value of x = ?

\(\begin{aligned}& \therefore\left(x^{\frac{1}{8}}\right)\left(x^{\frac{3}{8}}\right)=12 \\& \Rightarrow x^{\frac{1}{8}}+\frac{3}{8}=12\end{aligned}\)

Using the exponential identity

,\(\begin{aligned}& a^m a^n=a^{m+n} \\& \Rightarrow x^{\frac{1+3}{8}}=12 \\& \Rightarrow x^{\frac{4}{8}}=12 \\& \Rightarrow x^{\frac{1}{2}}=12\end{aligned}\)

Squaring both sides, we get

\(\begin{aligned}& \left(x^{\frac{1}{2}}\right)^2=(12)^2 \\& \Rightarrow x^{\frac{1}{2} \times 2}=144 \\& \Rightarrow x=144\end{aligned}\therefore The possible value of x=144\)

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The inequality of |-3| > -3 is true.

Inequalities are of two types, > and <. The > sign means that left hand side is greater than the right hand side, while the < sign means that the left hand side is less than than the right hand side.

Any expression between the modulus sign | | indicates that the expression will be positive even if it is negative. For example, |-2| = 2.

Using this property of absolute sign,

= |-3| > -3

= 3 > -3

3 is greater than -3. Hence, the statement is true.

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The probability that someone would have done at least as well as the man with no ESP is 0.077, or 7.7%.

The probability that someone would have done at least as well as the man with no ESP is calculated by the binomial probability formula. This formula takes into account the number of trials, the number of successes, and the probability of success in each trial. In this case, the number of trials is 22, the number of successes is 16, and the probability of success in each trial is 50% (0.5). The binomial probability formula states that the probability of success given this information is 0.077. This means that the probability that someone would have done at least as well as the man with no ESP is 0.077, or 7.7%.

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We are 90% certain that the average number of  hamsters per litter is between 7.1077 and 8.3323.

A confidence interval is a range of values that includes a population value with a high degree of certainty. When a population mean falls between an upper and lower interval, it is frequently expressed as a percentage. The confidence level is the long-run proportion of corresponding CIs that contain the parameter's true value. For example, 95% of all intervals computed at the 95% level should contain the true value of the parameter.

Given, n=47

\(\bar{x}\)=7.72

s=2.5

c=90%=0.90

To find the t-value, look in the row that starts with degrees of freedom.

df=n-1

df=47-1

df=46>45 and in the column with c=90% in the table

=1.679

Now, the margin of error is then:

E=\(t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}=1.679\times \dfrac{2.5}{\sqrt{47}}\approx 0.6123\)

The confidence interval's boundaries are thus:

\(\overline{x}-E\)=7.72-0.6123=7.1077

\(\overline{x}+E\)=7.72+0.6123= 8.3323

The average number of hamsters per litter is between 7.1077 and 8.3323, and we are 90% certain of this.

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Step-by-step explanation:

3x+4*13

where *=greater than or equal to

represent it on the number line

Answer:

y-intercept (0,2.5)

x intercept (3.5,0)

Step-by-step explanation:

Answer:

Change ≈ 284.6154%

Step-by-step explanation:

To calculate the percent change of two numbers such as 450 to 117, you use the Percent Change Formula, where a is the start value and b is the end value.

(b-a)/a x 100

When we insert a = 450 and b = 117 in the formula above, then we get the following that we can simplify and solve to get the percent change from 450 to 117.

(117-45)/450 x 100

-333/450 x 100

Change = -74%

Now you know that the percentage change from 450 to 117 is -74%. Since it is a negative answer, it means that if you subtract 74% from 450, then you will get 117.

Answer:

19.36

Step-by-step explanation:

First you figure out what 20% of 22 is, which is 4.4
Then you subtract 4.4 from 22, which gets you 17.6
Then you add 10% of 17.6, that 10% being 1.76
So you lastly add 1.76 to 17.6 which gets you 19.36.

Answer: This equation looks proportional

Hope this helps, tell me if I'm wrong :)

Answer:

el 9

Step-by-step explanation:

Porque 9+9=18

Entonces si los sumamos más 4:

18+4=22

el número es 9

The Slope of the Line passing through (4, 7) and (2, 10) is -3/2

What is Slope?

The slope formula is used to compute the inclination or steepness of a line. The slope of the lines is calculated using the x and y coordinates of the lines. It is the ratio of the y-axis change to the x-axis change.

Solution:

A(4, 7) and B(2, 10)

Slope = y2 - y1 / x2 - x1

Slope = 10 - 7 / 2 - 4

Slope = 3 / -2

Slope = -3/2

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Answer:

X intercept: (3,0) and the y intercept: (0,1)

Step-by-step explanation:

To find the x intercept and the y intercept you want to find the point the value is at. We can see on the x intercept line that the line is hitting 3. So that means that your x intercept is (3,0) because its crossing at 3. Now for your y intercept, same thing. We can see that its crossing at 1, hence to why your y intercept is (0,1).

I hope this helps, have a good day!

These issues are the lack of technological innovation and the increasing competition in the global market. Addressing these issues is crucial for the organization's sustainability and growth.

The lack of technological innovation is an issue because it hinders International Industries from staying competitive and meeting changing market demands.

Without innovation, the organization may fall behind in terms of product development, process efficiency, and customer satisfaction.

To address this issue, the organization should prioritize research and development efforts, invest in new technologies, and foster a culture of innovation. This can involve collaborating with external partners, conducting market research, and providing training and incentives to employees.

The increasing competition in the global market is another significant issue. With globalization, companies from different countries are entering the market, creating intense competition for International Industries. This can impact market share, pricing, and profitability.

To tackle this issue, the organization should focus on strategic positioning and differentiation. This can be achieved through product diversification, expanding into new markets, improving marketing strategies, and enhancing customer relationships.

Additionally, the organization should constantly monitor and analyze the competitive landscape to identify opportunities and adapt accordingly.

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The range of values for which the provided function is defined is known as the domain. The domain of the given relation is (0,∞).

A set of values for which a specific function is defined is known as a domain. The entire collection of values that a particular function may return is known as a range. Suppose that up to 20 ounces of weight are included in the post office's $2 flat rate for parcels weighing less than 5 ounces. Every every ounce after that is $0.15. Mail weight is, thus, the independent variable in this connection. because the weight of the mail can exceed 0. As a result, (0,∞) is the relation's domain.

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Answer:

y=-5x-2

Hope it helps

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

Answer:

the domain in yearly intervals is [0, 13].

Step-by-step explanation:

To identify the domain (in yearly intervals) where the car's value is less than $1,000, we need to find the values of t for which M(t) is less than $1,000.The exponential model for the car's value is given by:M(t) = 30,000 * (4/5)^tWe can set up the inequality:M(t) < 1,000Substituting the expression for M(t):30,000 * (4/5)^t < 1,000Dividing both sides by 30,000:(4/5)^t < 1,000/30,000

(4/5)^t < 1/30To simplify the inequality further, let's take the logarithm (base 4/5) of both sides:log(base 4/5) [(4/5)^t] < log(base 4/5) [1/30]t * log(base 4/5) (4/5) < log(base 4/5) (1/30)Using the property of logarithms, where log(base a) a = 1:t * 1 < log(base 4/5) (1/30)t < log(base 4/5) (1/30)Now, we can evaluate the right side of the inequality:t < log(base 4/5) (1/30) ≈ 13.45Since t represents time in years, the domain that contains all the years when the car's value is less than $1,000 is from t = 0 to t = 13 (inclusive), as any value of t greater than 13 will result in a value greater than $1,000.

The domain, in yearly intervals, that contains all the years the car's value is less than $1,000 is 0 ≤ t < 12.

The given exponential model for the value of the midsize car is M(t) = 30,000 · (4/5)^t, where t represents the time in years.

We need to identify the domain, in yearly intervals, where the car's value is less than $1,000. To find this, we set up the inequality M(t) < 1,000 and solve for t.

Replacing M(t) with the given model, we have 30,000 · (4/5)^t < 1,000. To solve this inequality, we can take the logarithm of both sides.

After solving the logarithmic equation and rounding the result to the nearest year, we find that the car's value is less than $1,000 for t < 12 years.

Therefore, the domain in yearly intervals that contains all the years when the car's value is less than $1,000 is 0 ≤ t < 12.

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Answer:

C

Step-by-step explanation:

Answer:

a

.

yw babes :)