find the area of a garden that measures 6 feet by 4 feet.

Answer:

D

Step-by-step explanation:

To find the solutions, let's calculate the determinant:

Δ = (-1)²-4(-2)(-1) = 1-8 = -7

the solution is: (1 ±√-7)/(-4)

√-7 indicates there are two complex solutions

Answer:

10

Step-by-step explanation:

The equation to find how much money she did get(m = months) would be m x 75 x 2 = 1500. Well, we don't know the m variable. Let's work backwards to find it. First we must divide 1500 by 2. This is 750. Know we must divide 750 by 75. This is 10. There you go! Your answer is 10.

Answer:

D. x + 10 pence

Step-by-step explanation:

Since the pen costs 10 pence more than the ruler, we need to add 10 to x.

Answer:

y=32

Step-by-step explanation:

substitute x for (-4)

(2 x -4)^2= 32

answer:     12          

explanation:

About 27% of students ride the bus for less than 13 minutes and about 82% of students ride the bus for less than 27 minutes.

What is ride of the bus?

To find the percentage of students who ride the bus for less than 13 minutes, we need to determine how many values in the data set are less than 13 and divide by the total number of values.

There are 3 values less than 13: 10, 11, and 13. So, 3 out of 11 values are less than 13.

Therefore, about 27% of students ride the bus for less than 13 minutes.

To find the percentage of students who ride the bus for less than 27 minutes, we need to determine how many values in the data set are less than 27 and divide by the total number of values.

There are 9 values less than 27: 10, 11, 13, 18, 19, 21, 22, 25, and 27. So, 9 out of 11 values are less than 27.

Therefore, about 82% of students ride the bus for less than 27 minutes.

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Complete question is: About 27% of students ride the bus for less than 13 minutes and about 82% of students ride the bus for less than 27 minutes.

Answer:

A. 63/100

Step-by-step explanation:

100-37= 63.

Answer:

B. the points scored by a basketball player compared to his minutes played

Step-by-step explanation:

324 is the maximum value of the product of these three numbers

What is maxima and minima?

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, and minima will be its lowest.

The extrema of a function are the maxima and minima. The maximum and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, over its full range.

Let the three nonnegative numbers are x,y,z

According to the question

x+y+z=36

and y=2x

therefore, 3x+z=36--------------------------------------------------(1)

z=36-3x

Let 3xz= u--------------------------------------------------------------(2)

differentiating equation 2

du/dx=3z + 3xdz/dx

or

du/dx= z + xdz/dx

differentiating equation 1

3 + dz/dx = 0

dz/dx = -3

du/dz = 36-3x + x(-3)

du/dx = 12 - 2x--------------------------------------------------------------(3)

for maxima put du/dx = 0

x=6-------------------------------------------------------------------------------(4)

again differentiating du/dx = 12 - 2x

d2u/dx2=-2

which means 3xz= u is maximum at x=6

from equation 1 and 4

we get 18+z=36

z=18

Therefore 3xz= 3(6)(18)=324

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Answer:

it's the first one

hope it helps

The statement predicts that 3/28 will be the answer.

In regard to quantitative measurements ranging from zero to one, the probability theory offers a way to estimate the possibility of occurrence of various occurrences coming from a random experiment. A certain occurrence has a probability of one while an impossible event has a probability of zero.

Probability is the study of random events in mathematics, and it can be classified into four main categories: logical, classic, empirical, and subjective.

According to what they meant:

the first chocolate toffee 3/8

Toffee chocolate number two: 2/7

So, 3/8 × 2/7 = 6/56 = 3/28

Thus, 3/28 is the correct response.

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Answer:

B. 16/25

Step-by-step explanation:

6

10

+

4

100

=  

6 × 10

10 × 10

+

4

100

=  

60

100

+

4

100

=  

60 + 4

100

=  

64

100

=  

64 ÷ 4

100 ÷ 4

=  

16

25

Answer:

\(\huge\boxed{\sf \frac{16}{25} }\)

Step-by-step explanation:

\(\displaystyle \frac{6}{10} +\frac{4}{100}\)

To equalize the denominator, we will have to multiply the fraction 6/10 by 10.

\(\displaystyle =\frac{6 \times 10}{10 \times 10} +\frac{4}{100} \\\\\ =\frac{60}{100} +\frac{4}{100}\)

Now, that the denominator is equal, we can add both the fractions.

\(\displaystyle= \frac{60+4}{100} \\\\=\frac{64}{100}\)

Divide both numerator and denominator by 2.

\(\displaystyle = \frac{64 \div 2}{100 \div 2} \\\\= \frac{32}{50}\)

Divide again.

\(\displaystyle= \frac{32 \div 2}{50 \div 2} \\\\= \frac{16}{25} \\\\\rule[225]{225}{2}\)

9514 1404 393

Answer:

   (3x +4)(j -f)

Step-by-step explanation:

  3x(j -f) -4(f -j) = 3x(j -f) +4(-f +j) . . . . distribute the minus sign in -4(f-j)

  = 3x(j -f) +4(j -f)

  = (3x +4)(j -f)

Step-by-step explanation:

18x + 20y= 38

38xy = 38

xy = 38/38

where x and y = 1

the answer is B. 7

Step-by-step explanation:

it's the number u see the most therefore its the most common

Answer:

D. 10 maybe?

Step-by-step explanation:

because it moves a decimal with every number. im not sure I hope it's correct. it adds on a zero

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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Answer:

y = 4x - 5

Step-by-step explanation:

Slope-intercept form:  y = mx + b

m = slope

b = y-intercept

Since 4 is the slope and -5 is the y-intercept we will substitute it for m for the slope and -5 for the b.

y = 4x + (-5)

y = 4x - 5

Answer:

slope = - \(\frac{9}{4}\)

Step-by-step explanation:

Calculate the slope of line t using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )

m = \(\frac{2-11}{5-1}\) = \(\frac{-9}{4}\) = - \(\frac{9}{4}\)

Parallel lines have equal slopes , then

slope of line u is - \(\frac{9}{4}\)

The surface area of the cylinder is 18.84 square feet

The given parameters are

Height, h = 2 ft

Diameter, d = 2 ft

The radius (r) is half of the diameter (d)

This is calculated as:

Radius = Diameter/2

So, we have:

r = d/2

Substitute 2 for d

r = 2/2

Evaluate the quotient i.e. divide 2 by 1

r = 1

The surface area is then calculated using the following formula

A = 2πr² + 2πrh

Substitute the given values in the above equation

So, we have:

A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2

Evaluate the exponents

A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2

Evaluate the products

A = 6.28 + 12.56

Evaluate the sum

A = 18.84

Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet

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Answer:

1500 x 10 = 15,000

salary after 10 years is 58,000 + 15,000 = 73,000

Step-by-step explanation:

Answer:

6x-5=59 answer

Step-by-step explanation:

6x=64

x=64/6

x=10.66

6x-5=59

6x=59+5

6x=64

x=64/6

x=10.67(rounded off)

Meta-analysis is a research technique that involves systematically reviewing and statistically synthesizing data from multiple studies on a particular research question or topic.

The goal of meta-analysis is to provide a comprehensive summary of the existing evidence by combining the results of individual studies, which may have produced conflicting or inconclusive findings.

Meta-analysis typically involves a systematic search for relevant studies, followed by an evaluation of their quality and an extraction of relevant data. The data from the studies are then combined using statistical methods to produce an overall effect size estimate, such as a mean difference or odds ratio.

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Answer:  1.09 is closer to 1

The number of terms required to achieve a desired accuracy in finding the sum of a series depends on the specific series and the level of accuracy desired. In general, as we add more terms to the series, the approximation of the sum improves, leading to a higher level of accuracy.

To understand how many terms are needed to find the sum with a given accuracy, let's consider an example. Suppose we have an infinite series represented as:

S = a + b + c + d + ...

where 'a', 'b', 'c', 'd', and so on are the terms of the series.

To find the sum of this series, we can take partial sums by adding a certain number of terms. For example, if we add only the first two terms, we get S2 = a + b. If we add the first three terms, we get S3 = a + b + c. The more terms we add, the closer the partial sum gets to the actual sum of the series.

The accuracy of our approximation is determined by the difference between the partial sum and the actual um. To specify the desired accuracy, we can define an error tolerance or a maximum allowable difference between the partial sum and the actual sum.

For instance, if we want our approximation to be accurate within a certain threshold, say ε, we need to find the smallest number of terms that make the difference between the partial sum and the actual sum less than ε.

The number of terms required to achieve the desired accuracy will depend on the convergence properties of the series. Some series converge rapidly, meaning that adding a few terms yields a very accurate approximation, while others converge slowly, requiring a larger number of terms for the same level of accuracy.

To determine the number of terms needed, we can use convergence tests specific to the series at hand. These tests include the Ratio Test, the Root Test, and the Comparison Test, among others. These tests help us determine whether a series converges or diverges and provide insights into its convergence rate.

In summary, the number of terms required to find the sum of a series with a given accuracy depends on the specific series and the desired level of accuracy. By using convergence tests and considering the error tolerance, we can estimate the number of terms needed to achieve the desired accuracy in approximating the sum of the series.

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Answer:

4.

Step-by-step explanation:

7n - 12 = 16

7n = 16 + 12 = 28

Since 7n = 28, n = 28 / 7 = 4.

The length of the second wire stretches when the same forces are applied to it is given by option A. 0.30 cm .

Length of the wire = 0.90cm

let us consider the concept of Young's modulus also known as the modulus of elasticity.

Young's modulus is a measure of the stiffness or rigidity of a material.

It quantifies how much a material deforms under a given force.

The equation for Young's modulus is as follows,

E = (F/A) / (ΔL/L)

Where,

E is Young's modulus

F is the applied force

A is the cross-sectional area of the wire

ΔL is the change in length of the wire

L is the original length of the wire

The first wire stretches by 0.90 cm

and the forces applied to both wires are the same,

Use this information to determine the Young's modulus of the material.

Let us assign some variables,

ΔL₁= 0.90 cm change in length for the first wire

L₁ = original length of the first wire

A₁ = cross-sectional area of the first wire

Since the forces applied to both wires are the same,

Assume that the stress force per unit area is the same for both wires. This implies,

(F/A₁) / (ΔL₁/L₁) = (F/A₂) / (ΔL₂/L₂)

The second wire has three times the diameter and three times the length of the first wire.

This means the cross-sectional area A₂ of the second wire will be nine times the cross-sectional area A₁ of the first wire.

Mathematically,

A₂ = 9A₁

Similarly, the length L₂ of the second wire is three times the length L₁ of the first wire,

L₂ = 3L₁

Substituting these values into our equation, we have,

(F/A₁) / (ΔL₁/L₁) = (F/(9A₁)) / (ΔL₂/(3L₁))

Simplifying further, we get,

⇒ 1 / (ΔL₁/L₁) = 1/9 / (ΔL₂/(3L₁))

⇒ L₁ /ΔL₁= 1/9 × 3L₁/ΔL₂

⇒ 1/ ΔL₁ = ( 3/9) ( 1 / ΔL₂)

Since ΔL₁ =0.90 cm  

Substitute these values and solve for ΔL₂,

⇒1/ 0.90 cm ₁ = ( 3/9) ( 1 / ΔL₂)

⇒ΔL₂ = (0.90 cm ) × (3/9)

⇒ΔL₂= 0.90 cm × (1/ 3)

⇒ΔL₂ = 0.30 cm

Therefore, the second wire stretches by option A. 0.30 cm  when the same forces are applied to it.

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The above question is incomplete, the complete question is:

A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:

A. .3 cm

B. .1 cm

C. 2.7 cm

D. .9 cm

Answer:

F(t) = 5t

Step-by-step explanation:

velocity = distance/time

distance = velocity × time

v - velocity

t - time

d - distance

v = 5

Distance as a function of time:

F(t) = 5×t

where F(t) represents distance

A boy hikes a distance of d km in t hours. The formula describes d as a function of t, F(t) = 5t.

velocity = distance/time

v - velocity

t - time

d - distance

v = 5

distance = velocity × time

Distance as a function of time

Therefore, F(t) = 5×t

Where F(t) represents the distance.

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Answer:

270,725 hands.

Step-by-step explanation:

(52 x 51 x 50 x 49)/(4 x 3 x 2) = 13 x 17 x 25 x 49 = 270,725

SOLUTION:

Step 1:

In this question, we are given the following:

The following table lists the ages and number of players per group that are on a hockey team.

Let A= (hockey players who are 12 years old)

How many players are in the complement of A?

Step 2:

We are meant to find the number of players that are in the complement of A:

Total number of players =

Let A= (hockey players who are 12 years old) = 3

Number of players that are in complement of A =