Write the following expression using a single exponent.
5^0 x 5^5

Given:

Required: length?

the formula for the area of a rectangle :

let the length of the rectangle be l

Using the long division method

Answer:

93 minutes

Step-by-step explanation

23/68 x/275= 93 min

Answer:

Step-by-step explanation:

its c

Answer:

30 students

Step-by-step explanation:

Number of students called back for second audition

\( = \frac{3}{4} \times 40 \\ \\ = 3 \times 10 \\ = 30\)

Answer:

30 students were called back for audition

Step-by-step explanation:

every 1/4=10 student so 3/4 will be 30 students altogether

Answer:

16

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

\(\textsf{Given}:\)

\(-\sqrt{256}\)

\(\textsf{As $16 \cdot 16 = 256$, rewrite $256$ as $16^2$}:\)

\(\implies -\sqrt{16^2}\)

\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies -16\)

The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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Answer:

Step-by-step explanation:

Given

y = x^2 + 10x + 21

Complete the square

y = x^2 + 10x + 21                           Put brackets around the first 2 terms

y = (x^2 + 10x) + 21                         Take 1/2(10) and square it. Add inside the brackets.

y = (x^2 + 10x + 5^2) + 21                 Subtract 5^2 after 21

y = (x^2 + 10x + 25) + 21 - 25          Make  (x^2 + 10x + 25) into a perfect square.

y = (x + 5)^2 - 4

Answer: (x + 5)^2 - 4

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

The speed of the freight train is 30 mph, and the speed of the passenger train is 30 + 8 = 38 mph.

We have,

Let's denote the speed of the freight train as x mph.

Since the speed of the passenger train is 8 mph faster, we can denote the speed of the passenger train as (x + 8) mph.

To find the speeds of each train, we can use the formula:

Speed = Distance / Time

For the passenger train: (x + 8) = 280 / t, where t is the time taken to travel 280 miles.

For the freight train: x = 240 / t, where t is the time taken to travel 240 miles.

Since the times taken for both trains are the same, we can set the two equations equal to each other:

(x + 8) = 280 / t = x = 240 / t

Cross-multiplying the equation, we have:

(x + 8) t = x (280 / t)

xt + 8t = 280

xt - x = 240

Simplifying the equation, we get:

xt - x = 240

x(t - 1) = 240

Dividing both sides by (t - 1):

x = 240 / (t - 1)

Substituting the value of x in the first equation:

(x + 8) = 280 / t

240 / (t - 1) + 8 = 280 / t

Simplifying the equation, we get:

240t + 8(t - 1) = 280(t - 1)

240t + 8t - 8 = 280t - 280

248t - 8 = 280t - 280

280 - 8 = 280t - 248t

272 = 32t

t = 272 / 32 = 8.5

Substituting the value of t in the equation for x:

x = 240 / (t - 1) = 240 / (8.5 - 1) = 30

Therefore,

The speed of the freight train is 30 mph, and the speed of the passenger train is 30 + 8 = 38 mph.

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Answer:

1 tick mark represents 0.25 unit

Step-by-step explanation:

it goes -2.5 (tick) -2 (tick) -1.5 (tick) -1 (tick) -0.5 (tick) 0

take 2 adjacent points

1 tick mark = -2.0 -(-2.5) = +0.5 or

+0.5 - 0 = +0.5

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

One ticket cost $10.90.

Step-by-step explanation:

The total spent was $98.50--food, drinks, admission--everything.

$44.00 was for food and drinks.

We can take the 44 away from the total.

98.50 - 44.00

= 54.50

They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.

54.50 ÷ 5 = 10.90



The price of one ticket was $10.90

To make this look like algebra class...

let x = the price of one ticket

5x = the price of 5 tickets

5x + 44 = 98.50

subtract 44

5x = 54.50

divide by 5

x = 10.90

lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r

lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r = ln[lambda] = ln[Nt+1/N t] = instantaneous rate of increase; lambda = er , where e = 2.71828 (= natural log or log to the base e).

λ is a constant whose value is determined by the per capita birth rate minus the per capita death rate over discrete time periods.

Lambda is called the finite population growth rate that gives the proportional change in. population size from one time period to the next: λ = Nt+1.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

The mean of y

Step-by-step explanation:

In statistics, correlation is the degree of the linear relationship between two variables. The correlation coefficient is the numerical measure of the linear relationship of two variables, It is measured in the range -1 to 1. When the coefficient is negative, the variables are said to have a negative correlation, while it is a positive correlation or have a strong linear relationship if the correlation coefficient is positive.

When the correlation coefficient is zero, both variables have no linear relationship and the best predictions of each variable would be the mean.

The rational function representing the graph is \(f(x) = \dfrac{x}{(x-5)(x+2)}\). The correct option is C.

Any function that can be expressed mathematically as a rational fraction an algebraic fraction in which both the numerator and the denominator are polynomials is referred to as a rational function.

One curve is at x = 5 and the second curve is at x = -2. The numerator value is x = 0.

The function can be written as,

\(f(x) = \dfrac{x}{(x-5)(x+2)}\)

The graph of the function is attached with the answer below.

Therefore, the correct option will be C, for the given graph in the image.

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The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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Class members that should be the public are: Constructors, accessors/ mutators and methods the user needs to manipulate the objects of the class. The correct answer is c. I, III, V.

All members declared in a class as well as all members (apart from constructors and finalizers) defined in all classes in its inheritance structure are considered to be members of the class. Although they are inherited, derived classes cannot access private elements of base classes.

Class members are all the members (apart from constructors and destructors) defined in the class, as well as all the classes in its inheritance structure. Members of a class may be any of the following: Constant values represented by constants. Variables represented by fields.

If you want the class to be instantiated from anywhere, you must make the constructor public. If you want a class to be inheritable and its inherited classes to be instantiated, you must make the constructor protected.

A technique used to regulate changes to a variable is known as a mutator method. They're also frequently referred to as setter methods. A getter, often referred to as an accessor, frequently follows a setter and returns the value of the private member variable.

Therefore, the correct answer is (c). I, III, V.

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Answer:

32

Step-by-step explanation:

6+26=32

Answer:

Step-by-step explanation:

The answer is not 855.3^2cm

Answer:

I don't really understand the question

Step-by-step explanation:

c

Answer:

Part A: From the table, it is clear that as the number of workers increases, the number of units produced also increases. This indicates a positive correlation between the number of workers and the number of units produced. As the number of workers increases by 10, the number of units produced also increases by 50. This pattern is consistent throughout the data, which supports the conclusion that there is a positive correlation between the number of workers and the number of units produced.

Part B: A function that best fits the data is y = 5x + 2, where y is the number of units produced and x is the number of workers. This function can be determined by using the slope-intercept form of a linear equation (y = mx + b) and substituting the values for the slope and y-intercept from the data. The slope (m) of the function is 5 and the y-intercept (b) is 2.

Part C: The slope of the plot (5) represents the rate of change in the number of units produced for every 1 unit change in the number of workers. In this case, for every 1 additional worker, the number of units produced increases by 5. The y-intercept (2) represents the point at which the line intercepts the y-axis when x = 0. In this case, when there are no workers, 2 units are produced.

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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Answer:

1.425

Step-by-step explanation:

b.0.76

0.76÷1000=0.076

l425÷1000=1.425

To prepare the tacos, Maxwell uses 34tbs of chili powder for every 12lb of vegetables.

To determine how much chili he needs to use for 134lb of vegetables you can use cross multiplication:

12lb vegetables ____ 34tbs chili powder

134lb vegetables ___ x tbs chili powder

Maxwell needs 379.67 tbs of chili powder for 134lb of vegetables.

The closest option to the result is D. 314tbs