can someone help me with this question?<3

The equivalent expressions to 5x + 30x - 15x are given as follows:

A) 5x(1 + 6 - 3).

B) 5(x + 6x - 3x).

C) (5 + 30 - 15)x.

Equivalent expressions are expressions that have the same result when they are simplified as much as possible.

The expression for this problem is given as follows:

5x + 30x - 15x

Combining the like terms, the result is given as follows:

35x - 15x = 20x.

Hence the equivalent expressions are given as follows:

A) 5x(1 + 6 - 3) = 5x + 30x - 15x = 20x.

B) 5(x + 6x - 3x) = 5x + 30x - 15x = 20x.

C) (5 + 30 - 15)x = 5x + 30x - 15x = 20x.

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Using the properties of exponents we can write the given expression as \(x^\frac{3}{2} y^\frac{5}{2}z^\frac{-2}{3}\). Therefore, option E is the correct answer.

The given expression is \(\frac{\sqrt{x^3} \sqrt{y^5} }{\sqrt[3]{z^2} }\).

We can square root as 1/2.

So the expression becomes \(\frac{x^\frac{3}{2} y^\frac{5}{2} }{z^\frac{2}{3} }\)

=  \(x^\frac{3}{2} y^\frac{5}{2}z^\frac{-2}{3}\)

Therefore, option E is the correct answer.

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Answer:5/6

Step-by-step explanation:

simplify

When you sample so that every combination of individuals in your population has an equal chance of being chosen, you are taking a Simple Random Sample (option B).

A Simple Random Sample is a type of probability sampling method where each individual in the population has an equal probability of being chosen for the sample. This means that every possible combination of individuals in the population has an equal chance of being selected.

The selection of individuals is usually done through a random process, such as using a random number generator or a random sampling technique.

In contrast, a Stratified Random Sample (A) involves dividing the population into strata or subgroups based on certain characteristics and then taking a random sample from each subgroup. This method ensures that the sample is representative of the entire population, particularly if the subgroups are chosen based on characteristics that are relevant to the research question.

A Cluster Sample (C) involves dividing the population into clusters or groups, such as neighborhoods or schools, and then taking a random sample of clusters to represent the entire population. This method is often used when it is difficult or expensive to obtain a complete list of individuals in the population, as is the case in large-scale surveys.

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Answer:

C 803.8 in2

Step-by-step explanation:

Answer:

the answer is C 803.8 in2

Step-by-step explanation:

Answer:

To calculate the surface area of a square pyramid, we need to find the area of the base and the area of each triangular face, then add them together.

First, let's find the area of the base:

Area of square base = (side length)^2 = (15m)^2 = 225m²

Next, let's find the area of each triangular face:

Area of triangular face = (1/2) x (base length) x (height)

The base length of each triangular face is equal to the side length of the square base, which is 15m. We need to find the height of the pyramid to calculate the area of each triangular face.

To do this, we can use the Pythagorean theorem. Since the pyramid is a right pyramid (meaning the apex is directly above the center of the square base), the height is the hypotenuse of a right triangle with legs equal to half the length of one side of the base. Thus, the height can be found as follows:

height = sqrt((side length/2)^2 + height^2)

We can simplify this to:

height^2 = side length^2 - (side length/2)^2

height^2 = 225 - 56.25

height^2 = 168.75

height = sqrt(168.75)

height ≈ 12.99m

Now we can calculate the area of each triangular face:

Area of triangular face = (1/2) x (base length) x (height)

Area of triangular face = (1/2) x 15m x 12.99m

Area of triangular face ≈ 97.43m²

Finally, we can add the area of the base and the area of the four triangular faces together to get the total surface area:

Total surface area = area of base + 4 x area of triangular face

Total surface area = 225m² + 4 x 97.43m²

Total surface area ≈ 620.72m²

Therefore, the answer is A. 620.72 m².

Step-by-step explanation:

The altitudes, the medians, and the angle-bisectors are distinct for the congruent sides but coincident for the base. Hence, 7 lines.

Now, According to the question:

Altitude. A line segment joining a vertex of a triangle with the mid-point of the opposite side. An altitude is a perpendicular line segment drawn from a vertex of a triangle to the opposite side. It divides the opposite sides into two equal parts.

A Median of a triangle is a straight line segment which is drawn from the vertex of a triangle to the middle point of the opposite side. It splits the opposite side of the triangle into two equal line segments. That means we know that it's a median if we have got those equal line segments.

The altitudes, the medians, and the angle-bisectors are distinct for the congruent sides but coincident for the base. Hence, 7 lines.

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Step-by-step explanation:

Michael's Journey Time = 4 hours and 30 mins

=

\(4.5hours\)

Speed = Distance ÷ Time

Given Distance = 108km

Time = 4.5 hours

Speed =

\( \frac{distance}{time} \\ = \frac{108}{4.5} \\ = 24 \frac{km}{h} \)

My bad the answer is

Answer: 24 kilometers per hour

Answer:

y = -1/3x + 4

Step-by-step explanation:

y + 1/3x = 4

y = -1/3x + 4

Answer: 75 percent

Step-by-step explanation: I'm pretty sure

Answer:

It depends on the cost of grapes.

Step-by-step explanation:

Half of 12 is 6, so if each pack of grapes cost 6 or less, she can buy a pack of green and red grapes.

The equation that Deondra can use to graph the line showing different amounts of green and red grapes she can buy for $12 is :

ax   +   by    =    12

Let the number of green grapes be a

Let the cost of one green grape be x

Let the number of red grapes be b

Let the cost of one red grape be y

The total cost of green and red grapes = $12

The equation representing the illustration will be of the form:

(Number of green grapes)(Cost of 1 green grape) +

(Number of red grapes)(cost of 1 red grape)  =  Total cost

The equation that Deondra can use to graph the line showing different amounts of green and red grapes she can buy for $12 is therefore:

ax   +   by    =    12

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The proper way to report the groups' mean and standard deviation of independent sample t test is  

Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).

The APA style guide provides detailed instructions for referencing statistical test results, so in addition to following the basic format correctly, you must pay attention to details like punctuation, bracket placement, italicization, and other formatting elements.

Given, that the independent samples t test is conducted, where we have two groups.

Group 1- mean= 11.6 and SD=3.1

Group 2- mean=19 and SD=2.9

We have to write the values in the APA format for a report.

The APA formatting to represent the mean and SD of two groups is as follows, Mean and standard deviation are denoted by the letters M and SD, respectively.

Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).

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Given:

solution :

so answer is 75.

Answer:

75

Step-by-step explanation:

The best box for the cereal to be packaged in is box 1 the dimension is (4, 8, 16) surface area = 448 square units.

We can use the rectangular prism formula to determine the volume of each box. The volume of a box will indicate how much cereal can fit in one box.

For box 1, the volume is 4*8*16 = 512 cubic units.

For box 2, the volume is 2*8*32 = 512 cubic units.

For box 3, the volume is 2*4*64 = 512 cubic units.

Since all the volume is same, we only need to choose based on the surface area. Usually business will choose the lowest square units because it will require less material and can load more packages in the storage warehouse.

Thus, the correct option is the box 1 the dimension is (4, 8, 16) surface area = 448 square units.

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Answer:

First we make an equation for each company

4500 + 100.25t

t is going to be tons

the second company

3443 + 175.72t

Step-by-step explanation:

When selecting the smallest number from a set of data, the appropriate function to use is the "Min" function.

The "Min" function is specifically designed to determine the smallest value among a set of data. It compares all the values within the data set and returns the minimum (smallest) value.

The "Count" function, on the other hand, is used to count the number of items in a data set or a specific condition. It does not provide information about the actual values within the set.

The "Max" function is used to find the maximum (largest) value in a set of data, which is the opposite of what is needed in this scenario.

The "If" function is a conditional function that allows for logical comparisons and returns different values based on specified conditions. While it can be used to identify the smallest number under certain conditions, it is not specifically designed for finding the overall minimum value in a set of data.

Therefore, the appropriate function to select the smallest number from a set of data is the "Min" function.

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Answer:

m is slope

Step-by-step explanation:

y = mx + b is the equation of a line in slope- intercept form

where m is the slope and b the y- intercept

Answer: 1.5 hours

Step-by-step explanation:

I assume you’re trying to find how much time she is doing other activity.

2 1/4 - 3/4 is equal to:

2.25-0.75

That equals 1.5.

Answer:

\( \frac{(y - 3)}{(x - 3)} = \frac{( - 6 - 3)}{( - 6 - 3)} = \frac{( - 9)}{( - 9)} = 1 \\ \frac{(y - 3)}{(x - 3)} = 1 \\ y - 3 = x - 3 \\ \boxed{y = x}\)

Slope of the equation is 1 and intercept of the equation is 0.

Answer:

6÷ (-2) = (-3)

Step-by-step explanation:

i used a calculator

but good question

The cosine and sine ratio of each required measure have being expressed as fractions and as decimals below.

The sine ratio is sin ∅ = opposite side/hypotenuse, while the cosine ratio is cos ∅ = adjacent length/hypotenuse length.

3. Sin D = opp/hyp = 12/15 = 0.8

Sin E = opp/hyp = 9/15 = 0.6

Cos D = adj/hyp = 9/15 = 0.6

Cos E = adj/hyp = 12/15 = 0.8

4. Sin D = opp/hyp = 35/37 = 0.9459

Sin E = opp/hyp = 12/37 = 0.3243

Cos D = adj/hyp = 12/37 = 0.3243

Cos E = adj/hyp = 35/37 = 0.9459

5. Sin D = opp/hyp = 28/53 = 0.5283

Sin E = opp/hyp = 45/53 = 0.8491

Cos D = adj/hyp = 45/53 = 0.8491

Cos E = adj/hyp = 28/53 = 0.5283

6. Sin D = opp/hyp = 36/45 = 0.8

Sin E = opp/hyp = 27/45 = 0.6

Cos D = adj/hyp = 27/45 = 0.6

Cos E = adj/hyp = 36/45 = 0.8

7. Sin D = opp/hyp = 13√3 / 26 = √3/2 = 0.8660

Sin E = opp/hyp = 13/26 = 1/2 = 0.5

Cos D = adj/hyp = 13/26 = 1/2 = 0.5

Cos E = adj/hyp = 13√3 / 26 = √3/2 = 0.8660

8. Sin D = opp/hyp = 8/17 = 0.4706

Sin E = opp/hyp = 13/26 = 15/17 = 0.8824

Cos D = adj/hyp = 13/26 = 15/17 = 0.8824

Cos E = adj/hyp = 8/17 = 0.4706

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The Pythagorean Theorem can be utilized in any situation to establish a connection between the side lengths of the squares and the sort of triangle that results.

Let's use the notation "a, b, and c" to indicate the three squares' side lengths, where "a" stands for the shortest side, "b" for the midpoint, and "c" for the longest side.

The area of the largest square (c), which is created by the hypotenuse of the triangle, is equal to the sum of the areas of the two smaller squares when three squares' sides form an acute triangle.

The areas of the two smaller squares (a and b) formed by the two larger squares (a and b) are equal when three squares have sides that form an obtuse triangle.

If three squares have sides that make a right triangle, then the sum of the areas of the two small squares is equal to the area of the largest square (c) formed by the hypotenuse of the right triangle.

In all cases, the Pythagorean Theorem can be used to determine the relationship between the side lengths of the squares and the type of triangle formed.

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Responder:

63.888,89N

Explicación paso a paso:

Fuerza = m (v-u) / t

m es la masa = 2300 kg

v es la velocidad final = 15 m / s

u es la velocidad inicial = 0 m / s

t es el tiempo = 0.54s

Sustituir

F = 2300 (15-0) /0,54

F = 2300 (15) /0,54

F = 34500 / 0,54

F = 63.888,89N

Por lo tanto, la intensidad de la fuerza que no está motorizada es 63,888.89N

Answer:

6

Step-by-step explanation:

First, we can calculate the total number of cards:

total cards = (cards with letters) + (cards with numbers)

total cards = 12 + 16

total cards = 28

Using the total number of cards, we can define the probability of pulling a card with a letter one time (or many times with replacement) as:

\(P(\text{card with letter}) = \dfrac{\text{cards with letters}}{\text{total cards}}\)

\(P(\text{card with letter}) = \dfrac{12}{28}\)

\(P(\text{card with letter}) = \dfrac{3}{7}\)

Finally, we can create a prediction for the number of times a card with letters will be pulled by multiplying the probability of pulling a card with a letter by the number of times we are pulling a card with replacement.

\(\text{prediction} = \text{pulls} \cdot P(\text{card with letter})\)

\(\text{prediction} = 14 \cdot \dfrac{3}{7}\)

\(\boxed{\text{prediction} = 6}\)

Answer: use a standard form calculator

Step-by-step explanation: it helps alot :)

Answer:

4 hours

Step-by-step explanation:

set up your equation

money to spend = charge per hour

18 = 4.50x

divide each side by 4.50

x = 4

4 hours

Answer:

the Answer is 4 Hour

Step-by-step explanation:

$18 Divided by 4.5 = 4 hours

Given:

The three lengths in the options.

To find:

Which three lengths could be the lengths of the sides of a triangle?

Solution:

If the sum of two smaller sides is greater than the largest side, then the three sides can form a triangle otherwise the triangle is not possible.

In option A, the three sides are 4 cm, 8 cm, 13 cm. Here, the largest side is 13 cm.

Sum of two smaller sides is:

\(4+8=12\)

\(4+8<13\)

So, the triangle is not possible.

In option B, the three sides are 13 cm, 11 cm, 23 cm. Here, the largest side is 23 cm.

Sum of two smaller sides is:

\(13+11=24\)

\(13+11>23\)

So, the triangle is possible.

In option C, the three sides are 5 cm, 18 cm, 12 cm. Here, the largest side is 18 cm.

Sum of two smaller sides is:

\(5+12=17\)

\(5+12<18\)

So, the triangle is not possible.

In option D, the three sides are 25 cm, 8 cm, 16 cm. Here, the largest side is 25 cm.

Sum of two smaller sides is:

\(8+16=24\)

\(8+16<25\)

So, the triangle is not possible.

Therefore, the correct option is B. The three lengths 13 cm, 11 cm, 23 cm could be the lengths of the sides of a triangle.

Answer:

2 + 3t

Step-by-step explanation:

is started at 2ft (2+) and went up 3 times each year. (3t)

Answer:

2 + 3t

Step-by-step explanation:

2 because of the feet it started at and 3t to represent 3 ft per year

Answer:

560

Step-by-step explanation:

1=160

2=320

3=480

4=640

5=800

6=960

7=1120

8=1280

9=1440

JUST ADD 160 EACH TIME

hope this is what your looking for   :)