Mari Bought 6 Packets Of Tomato Seeds. Each Packet Contained 24 Seeds. She Planted 1 Packet Of The Seeds, (2024)

Answer:

[tex]\frac{y^2}{4x^5}[/tex]

Step-by-step explanation:

Used Exponents Properties :

[tex]\blacksquare \left( a\times b\right)^{n} =a^{n}\times b^{n}\\\blacksquare \left( a^{n}\right)^{m} =a^{n\times m}\\\blacksquare \left( \frac{a}{b} \right)^{n} =\frac{a^{n}}{b^{n}}[/tex]

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

[tex]\begin{aligned}\left(\frac{256 \times x^{20}}{y^8}\right)^{-\frac{1}{4}} & =\left(\frac{y^8}{2^8 \times x^{20}}\right)^{\frac{1}{4}} \\& =\frac{\left(y^8\right)^{\frac{1}{4}}}{\left(2^8 \times x^{20}\right)^{\frac{1}{4}}} \\& =\frac{y^{8 \times \frac{1}{4}}}{\left(2^8\right)^{\frac{1}{4}} \times\left(x^{20}\right)^{\frac{1}{4}}} \\& =\frac{y^{\frac{8}{4}}}{2^{\frac{8}{4}} \times x^{\frac{20}{4}}} \\& =\frac{y^2}{2^2 x^5}\\& =\frac{y^2}{4 x^5}\end{aligned}[/tex]

To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them.

The problem with either the mean or the median as a measure of center in this case is that the data is not separated by gender, and the shoe size distributions for men and women are likely to be different. Therefore, computing the mean or median shoe size across all students may not accurately represent the typical shoe size for men or women separately.

For example, if the men in the sample have, on average, larger shoe sizes than the women, then the mean shoe size across all students may be biased towards the larger sizes, even though the majority of the students are women. On the other hand, if there are a few male students with very large shoe sizes, then the median shoe size across all students may be biased towards the larger sizes as well, even if most of the students are women with smaller shoe sizes.

To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them. Alternatively, a better measure of center might be to report the mode, which represents the most common shoe size in the data.

Learn more about median here https://brainly.com/question/28060453

#SPJ4

Null hypothesis: Proportion of residents favoring annexation <= 72%. Alternative hypothesis: Proportion of residents favoring annexation > 72%

The null hypothesis is that the proportion of residents who favor annexation is equal to or less than 72%. The alternative hypothesis is that the proportion of residents who favor annexation is greater than 72%.

To determine if there is sufficient evidence to support the mayor's claim, a hypothesis test should be performed. A common approach is to use a one-sample proportion test. This test compares the proportion of residents who favor annexation in a sample to the hypothesized proportion of 0.72.

Assuming a significance level of 0.05, if the p-value is less than 0.05, then there is sufficient evidence to reject the null hypothesis and conclude that the proportion of residents who favor annexation is greater than 72%.

Learn more about null hypothesis here: brainly.com/question/28920252

#SPJ4

On solving the provided question, we can say that in a day, the expression will be 16*24 of 10.9% = 384 od 10.9% = 41.856

What is expression?

In mathematics, it is pοssible to multiply, divide, add, or remove. The construction of an expression is as follows: Expressiοn, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expressiοn (such as addition, subtraction, multiplicatiοn or division etc.) Expressions and phrases can be cοntrasted.

Any mathematical statement with variables, numbers, and an arithmetic οperation between them is called an expression or an algebraic expression. Fοr instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expressiοn, all of which are separated by the arithmetic sign +.

Dr. Drew cοnsumes 16 ounces of a caffeinated beverage first thing in the mοrning

Caffeine wears off at a rate of apprοximately 10.9% an hour.

in a day, the expression will be 16*24 of 10.9% = 384 od 10.9% = 41.856

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer:

$13.53

Step-by-step explanation:

Let's call the cost of a pepperoni pizza x.The total cost of the cheese and pepperoni pizzas before tax and tip is 1 * $11.00 + 3 * x = $57.59 - $3.00Simplifying the expression on the right side: $54.59 - $3.00 = $51.59Now we can solve for x:1 * $11.00 + 3 * x = $51.593 * x = $51.59 - $11.003 * x = $40.59x = $13.53So each pepperoni pizza costs $13.53

By the property of SAS criterion,

ΔKMN is similar to ΔKJL.

What are similar triangles?

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are proportionate, and the corresponding angles are equal.

Given:

In ΔJKL,

MN is parallel to JL.

That means MN and JL are equally spaced.

So,

JM/MK = LN/NK

∠KMN ≅ ∠KJL {By corresponding angles}

ΔKMN is similar to ΔKJL. {By the SAS criterion}

Therefore, ΔKMN is similar to ΔKJL.

To learn more about similar triangles;

https://brainly.com/question/14926756

#SPJ1

Each cone has a volume of around 60 [tex]cm^{3}[/tex]. As a result, 800 [tex]cm^{3}[/tex] of cream would be sufficient to fill around 13 cones.

What is a volume?

The quantity of space that an item or substance occupies is measured by its volume. Typically, it is expressed in cubic quantities like cubic metres or cubic feet. Volume is frequently used to describe liquids, gases, or other pourable materials like a cup of water or a gallon of fuel. The capacity of a container, such as a tank or box, is also determined by volume.

In this question, the volume of a cone is given by the formula:

V = (1/3)π[tex]r^{2} h[/tex]

Where r is the radius of the base and h is the slant height.

In this case, the radius of the base is equal to half the base diameter (4.2/2 = 2.1 cm) and the slant height is 7.5 cm.

So, the volume of each cone is (1/3)π x (2.1)2 x 7.5 = 28.7 cm3

Therefore, the number of cones needed to fill the ice cream cone with 800 cm3 of cream is 800/28.7 = 27.9 (rounded up to 28).

To know more about volume, visit

brainly.com/question/1578538

#SPJ1

The initial amount A is 1 and the growth factor B is 1.4 in the Exponential function f(t)=14^x.

Given,

f(x) = 1.4^x

It is an exponential function.

y = a.b^x

where a is the initial quantity and b is the growth/ decay component.

Now we are able to examine the given feature with

A = 1

B = 1.4

An exponential function is a mathematical function that has the form f(x) = a^x, where a is a constant greater than zero and not equal to one, and x is a variable. This function is widely used in a variety of fields, such as finance, physics, and biology, due to its ability to model growth, decay, and change over time.

Exponential functions are essential in understanding various natural phenomena, from population growth to radioactive decay, and they play a crucial role in the advancement of scientific research.The exponential function has several unique properties, such as exponential growth, where the function grows at an increasing rate as x increases. Additionally, the function has an asymptotic relationship with the x-axis, meaning it never actually touches the x-axis but gets infinitely close to it.

To learn more about Exponential function visit here:

brainly.com/question/2611012

#SPJ4

The vertex of the given graph is (5, 0)

What is vertex:

A vertex is a point on a polygon where two rays or line segments meet, and the sides or edges of the object come together. Vertex is the plural form of vertices.

A straight linethat can be extended endlessly is known as a ray. An angle is created when two line segments or rays cross one another. A vertex is created by definition whenever two lines come together to produce an angle.

Thus, we can state that a vertex is formed when two line segments or rays intersect.

Here we have a graph

The equation of the graph is y = |x - 5| + 1

As we can see that two lines are intersected at a point (5, 0)

Therefore,

The vertex of the given graph is (5, 0)

Learn more about Graphs at

https://brainly.com/question/29119716

#SPJ1

The number of rounds that Kate has to run along the perimeter of town to complete 12 miles is 4 rounds.

What is the perimeter of a triangle?

Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape. The perimeter of any polygon is equal to the sum of its side lengths. Considering a triangle, the sum of the three sides equals the perimeter.

Given the town is the shape of a triangle.

The distance covered after running one round around town is equal to the perimeter of the triangle.

The sides of the triangle are 0.7 miles, 1.4 miles and 0.9 miles.

Perimeter = 0.7+0.9+1.4 = 3 miles.

The distance covered in one round = 3 miles.

So the number of rounds required to complete 12 miles = 1/3 * 12 = 4 rounds.

Therefore the number of rounds that Kate has to run along the perimeter of town to complete 12 miles is 4 rounds.

To learn more about the perimeter, follow the link.

https://brainly.com/question/24487269

#SPJ1

Probability that only one of the two failure modes will occur over the life of the building is 0.11

The probability for failure of building

P (Failure) = P(C U E)

= P(C) - P(E) - P(CUE) - P(C|E)P(E)

Substitute 0.05 for P(C) 0.1 for P(E) and 0.2 for PC/E) in equation to find the probability for failure.

P(failure) = P(CUE)

= 0.05 +0.1 -0.2 x 0.1

= 0.13

Probability that only one of the two failure modes will occur over the life of the building

P(CE U EC) = P(ČE) + P(EC)

= P(C U E) - P(EC)]

= P(CUE) - P(C|C)P(E)

Substitute 0.13 for P(CUE) 0.1 for P(E) and 0.2 for P(CIE) in equation (3) to find P(CE UĒC).

P(CE U EC) - 0.13 - (0.2 x 0.1)

= 0.11

Hence,

Probability that only one of two failure modes will occur over the life of the building is 0.11.

Learn more about probability here brainly.com/question/11234923

#SPJ4

Answer:

x = 40.5

Step-by-step explanation:

SQ is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is

[tex]\frac{PS}{RS}[/tex] = [tex]\frac{PQ}{RQ}[/tex] ( substitute values )

[tex]\frac{20}{18}[/tex] = [tex]\frac{45}{x}[/tex] ( cross- multiply )

20x = 18 × 45 = 810 ( divide both sides by 20 )

x = 40.5

Answer:

SOLVE IT!

Step-by-step explanation:

A. 45.50+0.11= answer

B. 65.50+0.17= answer

Minus A plus B to get answer!

The polynomial for the shaded area will be 3x² + 15x and x² + 6x + 8.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

19. The area is given as,

A = (x + 5)(3x)

A = 3x² + 15x

19. The area is given as,

A = (x + 4)(x + 2)

A = x² + 6x + 8

The polynomial for the shaded area will be 3x² + 15x and x² + 6x + 8.

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ1

The system that is represented in the graph include:

y > x² – 2x – 3

y > 3x + 4

How to explain the graph

The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this case, a graph consists of vertices connected by edges.

The graph shows a dashed upward opening parabola with a vertex at negative 1 comma negative 4, with shading inside the parabola. It also shows a dashed line passing through the points negative 2 comma negative 1 and 0 comma 3, with shading above the line.

This depicts y > x² – 2x – 3 and y > 3x + 4.

Learn more about graph on:

https://brainly.com/question/19040584

#SPJ1

Which system is represented in the graph?

y ≥ x2 – 2x – 3

y ≤ 3x + 4

y < x2 –2x – 3

y > 3x + 4

y < x2 – 2x – 3

y > 3x + 4

y > x2 – 2x – 3

y > 3x + 4

Answer:

c

Step-by-step explanation:

9/10

[tex]x^{\frac{8}{15} }[/tex] is the value of yz when x=y⁵=z³ and x is positive.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Since x=y⁵=z³

Solve for yz as follows:

we can take the fifth root of x to get y, and the cube root of x to get z:

We can solve for yz as follows:

[tex]y=x^{\frac{1}{5} }[/tex]

[tex]z=x^{\frac{1}{3} }[/tex]

Now yz=[tex]x^{\frac{1}{5} }.x^{\frac{1}{3} }[/tex]

=[tex]x^{\frac{8}{15} }[/tex]

Hence, option A is correct, if x=y⁵=z³ then yz is [tex]x^{\frac{8}{15} }[/tex]

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The marked price of the radio is Rs 10000.

How to find the marked price of that radio

From the question, we have the following parameters that can be used in our computation:

Discount = 10%

VAT = 13%

VAT - Selling price = 1170

Represent the price of the radio with x

Using the above as a guide, we have the following:

Discount = 10% implies 0.9x

VAT = 13% implies 0.9x * 1.13 = 1.017x

So, the difference is

1.017x - 0.9x = 1170

This gives

0.117x = 1170

Divide

x = 10000

Hence, the price of the radio is Rs 10000.

Read more about discount at

https://brainly.com/question/7459025

#SPJ1

To find the number of gallons of water leaked by the faucet in 48 hours, we need to multiply the number of gallons leaked per hour by the number of hours:

gallons leaked per hour = 5 gallons / 20 hours = 5/20 gallons/hour

gallons leaked in 48 hours = (5/20 gallons/hour) * 48 hours = (5/20) * 48 gallons
gallons leaked in 48 hours = 12 gallons

So, the faucet will leak a total of 12 gallons in 48 hours.

Answer:

Step-by-step explanation:

We can start by finding the amount of water the leaky faucet loses in one hour:

5 gallons / 20 hours = 0.25 gallons per hour

This means that the leaky faucet loses 0.25 gallons of water every hour.

To find how many gallons of water the faucet will leak in 48 hours, we can multiply the rate of leakage per hour by the number of hours:

0.25 gallons/hour x 48 hours = 12 gallons

Therefore, the leaky faucet will lose 12 gallons of water in 48 hours.

The greatest whole number that divides both 372 and 324 without a remainder is 4.

To find the greatest whole number that divides both 372 and 324 without a remainder, we can use the concept of the greatest common divisor (GCD).

One method to find the GCD is to factor each number into its prime factors and then find the product of the common prime factors.

372 can be factorized as 2 * 186, and 324 can be factorized as [tex]2^2 * 3^4[/tex]

The greatest common divisor is [tex]2^2[/tex], which is equal to 4.

So, the greatest whole number that divides both 372 and 324 without a remainder is 4. This means that 4 is the largest number that can divide both 372 and 324 evenly, leaving no remainder.

Learn more about prime factors :

https://brainly.com/question/29775157

#SPJ4

Y=mx+b

A. Y=7.65x+50

B . 149.45-50= 99.45. 99.45/7.65=13 13 Hours

C. Y=7.65x48= $376.20 For 2 Days

Please give me Brainlyiest

Answer:

im him

Step-by-step explanation:

The graplh shows that it will take 3.33 weeks to pay up the money borrowed

How to find the equation to plotted on the graph

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

c = y intercept

The equation as described in the problem is represented using linear function as as follows

c = money borrowed from your parents = $50.00

m = you are paid $15 per week to walk the dog for 20 minutes each weekday = $15

x = number of weeks

y = amount remaining

The equation is

y = 15x - 50

From the graph the pay will be completed at x = 3.33 (3.33, 0)

Learn more on linear models at :

https://brainly.com/question/29650903

#SPJ1

The linear function modeled by the table is given as follows:

y = 2x - 5.

The slope and the intercept are given, respectively, by:

m = 2, b = -5.

How to obtain the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The slope m represents the rate of change.The intercept b represents the value of y when x = 0.

From the table, when x increases by 5, y increases by 10, hence the slope m is given as follows:

m = 10/5

m = 2.

Hence:

y = 2x + b.

When x = 3, y = 1, hence the intercept b is given as follows:

1 = 6 + b

b = -5.

Hence the function is:

y = 2x - 5.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer: 2

Step-by-step explanation:

The statement which is not true is a. Passive political risk management discourages managers from fully or partially hedging their bets against exposure to political hazards

Passive political risk management does not deter managers from fully or partially hedging their bets against political risk exposure. This management describes a strategy for controlling political risk that involves altering how a firm carries out a business to reduce political risk. This is generally performed without necessarily using financial instruments to safeguard against any degree of political risk.

It may entail taking necessary steps to spread the firm's operations across other geographies and regions, choosing joint venture partners with strong political influence, determining local contacts, and preserving strong ties with local individuals associated with politics. Even if a firm doesn't use active hedging tactics, these activities can efficiently assist it to lessen its exposure to political risk.

Read more about political risk on:

https://brainly.com/question/28138235

#SPJ4

Answer:

-5

Step-by-step explanation:

The expression for the composition of functions t and s, (t*s)(x), is obtained by substituting the output of s(x) into t(x). So,

(t*s)(x) = t(s(x)) = t(4x) = 3(4x) + 3 = 12x + 3.

The expression for the difference of functions t and s, (t - s)(x), is obtained by subtracting the output of s(x) from t(x). So,

(t - s)(x) = t(x) - s(x) = (3x + 3) - (4x) = -x + 3.

To evaluate (t + s)(-2), we need to add the outputs of t(-2) and s(-2).

t(-2) = 3(-2) + 3 = 3

s(-2) = 4(-2) = -8

So, (t + s)(-2) = t(-2) + s(-2) = 3 + (-8) = -5.

Multivariable calculus in college is generally more challenging than AP Calculus BC due to the additional complexity of working with functions of several variables.

Multivariable calculus in college typically goes beyond the content covered in AP Calculus BC in high school. While both cover calculus concepts, multivariable calculus adds the complexity of working with functions of several variables, including partial derivatives, multiple integrals, and vector calculus. As a result, the difficulty level of multivariable calculus in college can be significantly higher than AP Calculus BC. However, this can vary depending on the individual student and the rigor of their high school AP course.

AP Calculus AB and BC are two levels of Advanced Placement calculus courses typically offered in high school.

AP Calculus AB covers a wide range of calculus topics including limits, derivatives, integrals, applications of derivatives and integrals, and the Fundamental Theorem of Calculus. The focus is on single-variable calculus, meaning students work with functions of one variable.

AP Calculus BC, on the other hand, covers all the topics included in AB as well as additional concepts such as parametric, polar, and vector functions, series, and sequences. The course is designed to be more challenging and covers more advanced topics in calculus, including applications of calculus in physics and engineering.

Overall, AP Calculus BC is considered to be a more rigorous course than AP Calculus AB, but both courses prepare students for college-level calculus.

Learn more about Calculus here:

https://brainly.com/question/30096545

#SPJ4

The correct weight of butter is 1/32 pounds. Olivia will use 1/32 pound of butter in each batch of muffins.

Olivia has 1/8 pound of butter that she needs to divide equally among 4 batches of muffins. To find out how much butter is used each batch of muffins, we can divide the total amount of butter by the number of batches. So, the amount of butter in each batch of muffins is: 1/8 ÷ 4 batches = 1/32 pound. So, Olivia will use 1/32 pound of butter in each batch of muffins. A pound (lb) is a unit of weight or mass commonly used in the United States and other countries that follow the customary system of measurement.

To learn more about pound click here

brainly.com/question/26983038

#SPJ4

The graph to the inequality is added as an attachment

How to determine the graph to the inequality

From the question, we have the following parameters that can be used in our computation:

2y+8x<4

5x+20 is greater than or equal to -10y

Express properly

2y+8x<4

5x+20 > -10y

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, the shaded area has a coordinate of (1.143, -2.571)

Hence, the solution is (1.143, -2.571)

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1