Total length of a road trip was 18.9 hours. If highway signs are posted every 0.07 hours including one at the end of the Road trip how many highways lines will there be on the Road trip?

Answer:

Te conozco y sé qué

Como Nuevo de fabrica el otro

Step-by-step explanation:

Number of employees in 9 years

= 870 * (1 - 0.02)⁹

= 870 * (0.98)⁹

≈ 725 employees.

Answer:

Step-by-step explanation:

Answer:

1st movie will will end by 3;40 since it's for 40 min

so the next will be 3;45

the last will be 4

Answer:

$21.54

Step-by-step explanation:

$89.75 x 20% = 17.95

17.95 + $89.75 = 107.7

107.7/5 = $21.54

Answer:

21.54

Step-by-step explanation:

100% -> 89.75

20%-> 17.95

17.95+89.75=107.70

107.70÷5=21.54

Answer:

\(\underline{\underline{ -10x +2}}\)

Step-by-step explanation:

A expression is given to us and we need to simplify out the expression . The given expression is ,

\(\implies 2(-3x +1)-4x \)

Open the brackets .

\(\implies -6x +2-4x \)

Simplify the like terms .

\(\underline{\underline{ -10x +2}}\)

Hence the correct option is (4) .

add it and you will get 24 so pick D

Answer:

Step-by-step explanation:

a parabola that opens upwards or downwards and touches the x-axis at exactly one point, then the discriminant value is 0.

For the function f(x) = x(x + 1), the requested values are as follows: (a) f(0) = 0, (b) f(6) = 42, (c) f(-6) = 0, (d) f(-x) = -x(-x + 1), (e) -f(x) = -x(x + 1), (f) f(x + 5) = (x + 5)(x + 6), (g) f(2x) = 2x(2x + 1), and (h) f(x + h) = (x + h)(x + h + 1).

Here we are using integers and simplified fractions to get the answer.
(a) To find f(0), we substitute x = 0 into the function: f(0) = 0(0 + 1) = 0.
(b) To find f(6), we substitute x = 6 into the function: f(6) = 6(6 + 1) = 42.
(c) To find f(-6), we substitute x = -6 into the function: f(-6) = -6(-6 + 1) = 0.
(d) To find f(-x), we substitute x = -x into the function: f(-x) = -x(-x + 1).
(e) To find -f(x), we negate the function f(x): -f(x) = -x(x + 1).
(f) To find f(x + 5), we substitute x + 5 into the function: f(x + 5) = (x + 5)((x + 5) + 1) = (x + 5)(x + 6).
(g) To find f(2x), we substitute 2x into the function: f(2x) = 2x(2x + 1).
(h) To find f(x + h), we substitute x + h into the function: f(x + h) = (x + h)((x + h) + 1) = (x + h)(x + h + 1).
In summary, the requested values for the given function are as described above.

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The statement that  is true about the angle measure is ΔBAC + ΔABC = 95⁰.

For a given triangle, the sum of the two opposite interior angles is equal to the exterior angle.

That is, one of the special properties of angles of a triangle is that the exterior angle is always equal to the sum of the interior opposite angle.

From the given diagram we can conclude the following as follows;

angle BAC plus angle ABC is equal to the exterior angle 95 degrees.

So angle BAC  and angle ABC are the two opposite interior angles while angle 95 degrees is exterior angle.

Thus, the statement that  is true about the angle measure is ΔBAC + ΔABC = 95⁰.

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Answer:

Step-by-step explanation:

17x > -17

x > -1

Answer:

The answer to this is 18.

Step-by-step explanation:

Let's see if it's 18. To do this, we must subtract five and add seven to it.

18 - 5 = 13

After we subtract, we add the seven.

13 + 7 = 20.

I hope this helps!

0.0006 .

The probability that both systems of an atomic reactor will fail simultaneously is 0.0006.

This is calculated by multiplying the probability of cooling system A failing (0.02) by the probability of cooling system B failing (0.03) which results in 0.0006, rounded to four decimal places.

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To write $\frac{1}{64}$ as an integer raised to an integer power, we need to find integers $a$ and $b$ such that $\frac{1}{64}=a^b$.

We can start by expressing $64$ as a power of $2$: $64=2^6$. Then, we can rewrite $\frac{1}{64}$ as $\frac{1}{2^6}$. This means we need to find integers $a$ and $b$ such that $a^b=\frac{1}{2^6}$. Since $a$ must be an integer, we can rewrite $\frac{1}{2^6}$ as $\left(\frac{1}{2}\right)^6$. This means $a=\frac{1}{2}$ and $b=6$. Therefore, one possible way of writing $\frac{1}{64}$ as an integer raised to an integer power is $\left(\frac{1}{2}\right)^6$.

Another possible way is to write $\frac{1}{64}$ as $(-1)^2\cdot\left(\frac{1}{8}\right)^2$. This is because $(-1)^2=1$ and $\frac{1}{8}=\left(\frac{1}{2}\right)^3$. So, we have $1\cdot\left(\frac{1}{2}\right)^6=(-1)^2\cdot\left(\frac{1}{8}\right)^2$. Overall, the possible ways of writing $\frac{1}{64}$ as an integer raised to an integer power are: - $\left(\frac{1}{2}\right)^6$- $(-1)^2\cdot\left(\frac{1}{8}\right)^2$.

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(a) B is a basis of R^3 because its vectors are linearly independent and span R^3.

(b) The change-of-coordinate matrix from B to the standard basis is obtained by expressing the standard basis vectors as linear combinations of B and forming a matrix with the coefficients as columns.

(a) To show that B is a basis of R^3, we need to demonstrate two things: linear independence and spanning.

To show linear independence, we set up the equation a[2 0 1] + b[-1 1 0] + c[1 3 -2] = [0 0 0] and solve for a, b, and c. If the only solution is a = b = c = 0, then the vectors are linearly independent.

To show spanning, we need to show that any vector in R^3 can be expressed as a linear combination of the vectors in B.

(b) To find the change-of-coordinate matrix from B to the standard basis, we express the standard basis vectors [1 0 0], [0 1 0], and [0 0 1] as linear combinations of the vectors in B. The columns of the change-of-coordinate matrix will be the coefficients of the linear combinations.

(c) To find the B-coordinates of the vector v, we set up the equation [2 0 1]x + [-1 1 0]y + [1 3 -2]z = [6 4 -3] and solve for x, y, and z using the B basis vectors.

Note: Without the specific values of x, y, and z obtained in part (c), a detailed explanation cannot be provided.

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Answer:

2x+(4yx)

2(-3)+4(4)(-3)

-6-48

-54

Answer:  c

Step-by-step explanation:

In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.

The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.

Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.

Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.

By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.

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No, the sum of the magnitudes of two vectors can never be equal to the magnitude of the sum of the same two vectors.

The magnitude of the sum of two vectors is determined by the vector addition process, which takes into account both the magnitudes and the directions of the vectors. The magnitude of the sum of two vectors is generally greater than or equal to the sum of their individual magnitudes.

Mathematically, for two vectors A and B, the magnitude of the sum (|A + B|) is given by the triangle inequality:

|A + B| ≤ |A| + |B|

Equality in the triangle inequality occurs only when the vectors are collinear, meaning they have the same direction or are in opposite directions. In such cases, the vectors can be scaled such that their magnitudes add up to the magnitude of their sum. However, in general, when vectors have different directions, the sum of their magnitudes will always be greater than the magnitude of their sum.

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the Central Limit Theorem, which states that as the sample size increases, the sampling distribution of the sample mean tends to become more normal.

The Central Limit Theorem states that as the sample size increases, the sampling distribution of the sample mean tends to become more normal. This means that the mean of the sample will be closer to the mean of the population, and the variability of the sample will be smaller. Since the sample proportion is just the mean of the sample, as the sample size increases, the distribution of the sample proportion will also become more normal. The larger the sample size, the more likely it is that the sample will accurately represent the population, and the more normal the distribution of the sample proportion will be. In other words, the sample proportion will be closer to the true population proportion, and the variability of the sample proportion will be smaller.

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The value of p (ʸ) for √125 = 5ʸ is 3/2. The solution to 5²ˣ = √125 is x = ¾. Using logarithms, x in 3²ˣ⁻¹ = 0.05 is approximately x = log₃2 + 1.


To find the value of p for which √125 = 5ʸ, we can equate the exponent of 5 on both sides of the equation:
√125 = 5ʸ
We know that 125 can be expressed as 5 3, so we can rewrite the equation as:
√(5 3) = 5ʸ
Taking the square root of both sides gives:
5 (3/2) = 5ʸ
Since the bases are the same, we can equate the exponents:
3/2 = y
Therefore, the value of p is ʸ = 3/2.
Now, let’s solve the equation 5²ˣ = √125:
We know that 125 can be expressed as 5 3, so we can rewrite the equation as:
5 (2x) = 5 (3/2)
Since the bases are the same, we can equate the exponents:
2x = 3/2
Solving for x, we divide both sides by 2:
X = ¾
Therefore, the solution to the equation 5²ˣ = √125 is x = ¾.
Next, let’s use logarithms to solve the equation 3²ˣ⁻¹ = 0.05:
Taking the logarithm of both sides of the equation, we can use the logarithmic property logₐ(x^y) = y*logₐ(x):
Log₃(3²ˣ⁻¹) = log₃(0.05)
Using the power rule of logarithms, we bring down the exponent:
(2x – 1) * log₃(3) = log₃(0.05)
Since logₐ(a) = 1, we can simplify further:
(2x – 1) * 1 = log₃(0.05)
Simplifying the left side:
2x – 1 = log₃(0.05)
Now, we can substitute the given value logₐx = 2(logₐ3 + logₐ2) – 1:
2x – 1 = 2(logₐ3 + logₐ2) – 1
Since the equation is given in terms of logₐ, we can deduce that a = 3:
2x – 1 = 2(log₃3 + log₃2) – 1
Expanding the logarithmic expression:
2x – 1 = 2(1 + log₃2) – 1
Simplifying:
2x – 1 = 2 + 2log₃2 – 1
Combining like terms:
2x – 1 = 2log₃2 + 1
Adding 1 to both sides:
2x = 2log₃2 + 2
Dividing by 2:
X = log₃2 + 1
Therefore, the solution to the equation, expressed in terms of a, is x = log₃2 + 1.

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Step-by-step explanation:

x + y = 12

x × y = -360

we need to transform one equation into an identity of one variable being expressed by the other variable.

e.g. the first equation gives us

x = -y + 12

and then we use that in the second equation :

(-y + 12) × y = -360

-y² + 12y = -360

y² - 12y - 360 = 0

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = y

a = 1

b = -12

c = -360

y = (12 ± sqrt(144 - 4×1×-360))/2 =

= (12 ± sqrt(144 + 1440))/2 = (12 ± sqrt(1584))/2 =

= 6 ± sqrt(1584/4) = 6 ± sqrt(396) = 6 ± sqrt(36×11) =

= 6 ± 6×sqrt(11)

y1 = 6 + 6×sqrt(11) = 25.89974874...

y2 = 6 - 6×sqrt(11) = -13.89974874...

x1 = -y1 + 12 = -13.89974874...

x2 = -y2 + 12 = 25.89974874...

so, we see, they are interchangeable.

the solution is either

x = 25.89974874...

and

y = -13.89974874...

or

x = -13.89974874...

and

y = 25.89974874...

The length of side x is given as follows:

\(x = 2\sqrt{7}\)

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

In the context of this problem, we have that the parameters are given as follows:

Hence we apply the sine of 30º to obtain the length x, as follows:

sin(30º) = sqrt(7)/x

\(\frac{1}{2} = \frac{\sqrt{7}}{x}\)

\(x = 2\sqrt{7}\)

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Answer:

- (x-1)^2 x (x+3)  is correct ans

Step-by-step explanation:

rewrite the expression

-x^3 - x^2 + 5x - 3

factor the expressions

x^3 + x^2 -2x^2 +2x=3x-3

factor the expression

-x^2 x (x-1)-2x x (x-1) +3 (x-1)

rewrite the expression

-(x-1) x (x^2 + 2x-3)

rewrite

-(x-1) x (x^2 + 3x - x - 3)

factor the expression

-(x-1) x (x^2+2x-3)

factor the expression

-(x-1) x (x x(x+3)-(x+3)

write in exponential form

-(x-1) x (x+3) x (x-1)

solution:

-(x-1)^2 x (x+3)

(Hope this helps can I pls have brainlist (crown)☺️)

The average speed of Renee over the last 2 hours of her trip is 9 miles/hour.

Let the average speed of Renee in 2 hours in between 6th and 8th hour be x miles / hours.

So the distance covered by Renee in 6 hours is = 6x

So the distance covered by Renee in 8 hours is = 8x

So the distance covered by Renee in this 2 hours in between 6th and 8th hours is = 8x - 6x

So according to the information the distance covered by Renee in this same 2 hours = 74 - 56 = 18 miles.

The equation best situated to the situation is,

8x - 6x = 18

2x = 18

x = 18/2

x = 9

Hence the average speed of Renee over the last 2 hours of her trip is 9 miles/hour.

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Answer:

u kind of forgot the attachment bestie

Answer:

You performed better relative to the class average in your economics class.

Step-by-step explanation:

There are two classes.

AP statistics class and Economic class

Using the z score formula,

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

In the AP statistics class, you scored a percentage of 65%. The class average was 60%

x is the raw score = 65%

μ is the population mean = 60%

σ is the population standard deviation = 6%

z = (x-μ)/σ

z = (65 - 60)/6

z = 5/6

z = 0.8333333333

In the Economics classes, you scored a percentage of 78% with a class average of 75%

x is the raw score = 78%

μ is the population mean = 75%

σ is the population standard deviation = 2.5%

z = (x-μ)/σ

z = (78 - 75)/2.5

z = 3/2.5

z = 1.2

Comparing the z score of both exams taken from different classes,we can see that your z score was higher in the Economics class compared to the A.P statistics class.

Therefore, you performed better relative to the class average in your economics class.