what is three and one third plus four and one third equals

The area of the field is 10,765.44 square meters.

Given that:

Diameter, d = 72 m

Width, W = 72 m

Length, L = 93 m

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The area of the field is calculated as,

A = (π/4)d² + W·L

A = (3.14 / 4) x 72² + 72 x 93

A = 4,069.44 + 6,696

A = 10,765.44 square meters

The area of the field is 10,765.44 square meters.

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Answer:

7 gallons per minute.

Step-by-step explanation:

42 / 6 = 7

Answer:

7 gallons per minute.

Step-by-step explanation:

42 divided by  6 = 7

and if you multiply 6 and 7 you will get 42

Answer:

$16442.18

Step-by-step explanation:

12,750 x 1.055^4.75 = 16442.18

Hope this helps^^

The coupon that gives the lower price, based on the percentage discounts is Coupon B.

To find the coupon that gives the lower price, apply the coupons to the price of the bicycle to see which value would be less after the coupon is applied.

Coupon A value after discount is:

= 81 x ( 1 - discount)

= 81 x ( 1 - 20%)

= $64.80

Coupon B value after discount is:

= 81 - 19

= $62

The coupon that gives the lower price is Coupon B.

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Answer:

D) 2

Step-by-step explanation:

When you have \(2\frac{3}{4}\) and you subtract \(\frac{3}{4}\) from it, you result in 2.

the \(\frac{3}{4}\) in the 2 and by itself cancel out.

#teamtrees #WAP (Water And Plant)

The expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z').

(a) To expand the function f = y'x + x'z with respect to x, we use the distributive property and apply De Morgan's law to simplify the expression:

f = y'x + x'z

  = x'y + x'z

  = (x'y)'(x'z)'    [Using De Morgan's law]

  = (x + y')(x + z')   [Using De Morgan's law again]

(b) Designing the function using a 2-to-1 multiplexer for the case of expanding f with respect to x involves using the inputs x, y, and z as the select lines of the multiplexer. The inputs x + y' and x + z' will be connected to the data inputs of the multiplexer, and the output of the multiplexer will be the expanded function f.

(c) Similarly, for expanding f with respect to y, the expansion is:

f = y'x + x'z

  = xy' + x'z

  = (xy')'(x'z)'    [Using De Morgan's law]

  = (x' + y)(x + z')   [Using De Morgan's law again]

For this case, the inputs x', y, and z will serve as the select lines of the 2-to-1 multiplexer. The inputs x' + y and x + z' will be connected to the data inputs, and the output of the multiplexer will represent the expanded function f.

In both cases, the 2-to-1 multiplexer is used to implement the logic function by selecting the appropriate data inputs based on the select lines, which are derived from the expansion of the function with respect to the corresponding variable.

In conclusion, the expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z'). By utilizing 2-to-1 multiplexers, the expanded functions can be designed by connecting the appropriate data inputs to the multiplexer based on the select lines derived from the expansions. This allows for the implementation of the logic functions using multiplexers, providing a compact and efficient circuit design.

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The conditions for conducting one-sample t-procedures are as follows:

1. Random Sample: The data should be obtained from a random sample or a randomized experiment to ensure that it is representative of the population of interest. This condition helps to minimize bias and ensure the validity of statistical inference.

2. Independence: The observations within the sample should be independent of each other. In other words, the values should not be influenced by each other and should be selected or measured independently. Violation of independence can lead to inaccurate results.

3. Normality or Large Sample Size (Central Limit Theorem): The population from which the sample is drawn should follow a normal distribution, or the sample size should be sufficiently large. If the population is known to be normally distributed, there are no specific requirements on the sample size. However, if the population distribution is unknown, the sample size should generally be at least 30 to apply the Central Limit Theorem, which states that the sample mean tends to follow a normal distribution, regardless of the population distribution shape.

4. Outliers: The presence of outliers can have a significant impact on the results of t-procedures. It is important to check for and address any outliers in the data. Outliers can distort the distribution and violate the assumptions of the t-test.

5. Equal Variances (for two-sample t-test): In the case of a two-sample t-test, if comparing two groups, the variances of the two populations should be equal. This assumption is necessary for calculating the correct degrees of freedom and obtaining accurate results. If the variances are not equal, a modified version of the t-test, called the Welch's t-test, can be used instead.

It is important to carefully assess these conditions before conducting one-sample t-procedures to ensure that the results are valid and reliable. Violations of these conditions may require alternative statistical tests or adjustments to the analysis.

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Answer:

  2π yards

Step-by-step explanation:

You want the circumference of a circle with a radius of 1 yard.

When the radius is given, the formula for circumference is ...

  C = 2πr . . . . . circumference for radius r

When the diameter is given, the formula for circumference is ...

  C = πd . . . . . circumference for diameter d

For a radius of 1 yard, the circumference is ...

  C = 2π(1 yard) = 2π yards

The circle's circumference is 2π yards.

__

Additional comment

The diameter is twice the radius, so ...

  d = 2r

That is, the diameter of the given circle is 2 yards. Using the second formula, we get ...

  C = π(2 yards) = 2π yards

Rearranging the second formula, we can get the equation ...

  π = C/d

That is, π (pi) is the ratio of the circumference to the diameter.

Answer: y = 30 + 40x

Step-by-step explanation: 30 inches is the initial height of the sunflower, 40 inches is the rate of change the sunflower grows each month.

Answer: All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.

Step-by-step explanation:

Based on the options given in this question, it should be noted that the option that is true is that all boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.

Therefore, the correct option is A.

Answer: 3 pieces

Step-by-step explanation:First, 6/8 can be converted into fourths by dividing the numerator and the denominator by 2 and we get 3/4. if we want 1/4 slices we divide 3/4 by 1/4 and get 3.

Answer:

2:40

Step-by-step explanation:

Short hand (hours): a little past 2

Long hand (minutes): 40 -- 8*5=40

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

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Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

The specific solution is:  M = M_0 e^(-kt)
This equation describes the amount memorized at any time t, given the initial amount memorized and the rate of forgetting.

The differential equation for this problem can be determined by understanding the relationship between the rate of forgetting and the amount memorized. Since the rate of forgetting is proportional to the amount memorized, we can write this relationship as:

dM/dt = -kM

Where M is the amount memorized, t is time, and k is a constant of proportionality. This differential equation describes the rate of change of the amount memorized with respect to time.

To solve this differential equation, we can separate the variables and integrate both sides:

∫(1/M) dM = -k ∫dt

ln(M) = -kt + C

M = e^(-kt + C)

M = Ce^(-kt)

This is the general solution to the differential equation. We can use initial conditions to find the specific solution for a particular situation. For example, if we know the initial amount memorized (M_0) at time t=0, we can find the constant C:

M_0 = Ce^(0)

C = M_0

So the specific solution is:

M = M_0 e^(-kt)

This equation describes the amount memorized at any time t, given the initial amount memorized and the rate of forgetting.

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The graph representing the solution set of the compound inequality -4 ≤ 3x - 1 and 2x + 4 ≤ 18 would be a closed interval on the number line, starting from -1 and ending at 7, inclusive.

To determine the graph that represents the solution set of the compound inequality -4 ≤ 3x - 1 and 2x + 4 ≤ 18, we need to solve each inequality separately and then find the overlapping region on a number line.

First, let's solve the first inequality:

-4 ≤ 3x - 1

Add 1 to both sides:

-3 ≤ 3x

Divide both sides by 3 (remembering to reverse the inequality when dividing by a negative number):

-1 ≤ x

So, the solution to the first inequality is x ≥ -1, which means x is greater than or equal to -1.

Now, let's solve the second inequality:

2x + 4 ≤ 18

Subtract 4 from both sides:

2x ≤ 14

Divide both sides by 2:

x ≤ 7

Thus, the solution to the second inequality is x ≤ 7, which means x is less than or equal to 7.

To find the overlapping region on the number line, we need to consider the intersection of the two solution sets.

The first inequality tells us that x is greater than or equal to -1, while the second inequality tells us that x is less than or equal to 7. Therefore, the overlapping region on the number line is between -1 and 7, inclusive.

The graph representing this solution set would be a closed interval on the number line, with a solid dot at -1 and another solid dot at 7, and a line connecting the two dots.

In summary, the graph representing the solution set of the compound inequality -4 ≤ 3x - 1 and 2x + 4 ≤ 18 would be a closed interval on the number line, starting from -1 and ending at 7, inclusive.

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The he statement d(k) + (k + 1) = d(k+1) is true for all natural numbers, n, by mathematical induction.

To prove that the statement is true for all natural numbers, n, we can use mathematical induction.

The statement we want to prove is that d(k) + (k + 1) = d(k + 1), where d(n) represents the total number of dots in a pattern of n squares.

Base Case (n = 1):

First, let's prove the statement for the base case, n = 1.

For n = 1:

d(1) + (1 + 1) = d(1) + 2

Now, consider a single square with 1 dot.

In this case, d(1) = 1.

So, we have:

1 + 2 = 3

Now, let's consider a pattern of 2 squares (n = 2).

The first square has 1 dot, and the second square has 2 dots. So, d(2) = 1 + 2 = 3.

So, the statement is true for n = 1.

Inductive Hypothesis (Assume true for n = k):

Now, assume that the statement is true for some arbitrary natural number k.

That is, assume that: d(k) + (k + 1) = d(k + 1)

Inductive Step (Prove true for n = k + 1):

To prove that the statement is true for n = k + 1.

d(k + 1) + (k + 2) = d(k + 2)

Now, consider a pattern of (k + 1) squares.

By the inductive hypothesis, assume that the statement is true for k squares:

d(k) + (k + 1) = d(k + 1)

Now, let's add one more square to the pattern.

This square will have (k + 2) dots.

So, the total number of dots in the pattern of (k + 1) squares plus the (k + 2) dots in the additional square is:

d(k + 1) + (k + 2)

And by the inductive hypothesis, d(k) + (k + 1) = d(k + 1).

Therefore:

d(k + 1) + (k + 2) = (d(k) + (k + 1)) + (k + 2) = d(k) + (k + 1) + (k + 2)

Now, simplify:

d(k + 1) + (k + 2) = d(k + 1) + (k + 1 + 1)

So, it is shown that for n = k + 1, d(k + 1) + (k + 2) = d(k + 1) + (k + 1) + 1.

Since it is assumed the statement to be true for k and proved it for k + 1, it is shown that the statement is true for all natural numbers, n, by mathematical induction.

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Answer:

0.71

Step-by-step explanation:

Answer:

12*56-56+11=12

Step-by-step explanation:

12 for 56

Answer:

-7/4

Step-by-step explanation:

(-1,2) (3,-5)

x1 y1 x2 y2

-5-2=-7

3-(-1)=4

-7/4

Answer:

6 is the answer

Step-by-step explanation:

Given,

Observations = 6,8,3,6,3,7,4,6,7,3,6

From the above given data,

The observation 6 occurs 4 times, observation 3 occurs 3 times,observation 7 occurs 2 times and the observation 8 occur 1 time.

Mode:The most frequently occurring value.

So the mode of the data is 6 as it occurs more frequently than other.

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

Answer:

Answer Option 3

Step-by-step explanation:

The volume of gas consumed by the first and second cars is 25 gallons and 30 gallons, respectively.

A family has two cars. The first car has a fuel efficiency of 25 miles per gallon of gas, and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars travelled a combined total of 1525 miles, for a total gas consumption of 55 gallons.

Let the volumes of gas consumed by the first car and the second car be denoted by the variables "x" and "y". We can form the given two equations using the given data.

x + y = 55

25x + 30y = 1525

We will substitute the value of "x" from the first equation into the second equation.

x = 55 - y

25x + 30y = 1525

25(55 - y) + 30y = 1525

1375 - 25y + 30y = 1525

5y = 150

y = 30

x = 55 - y = 55 - 30 = 25

Hence, the gas consumed by the first and second cars is 25 gallons and 30 gallons, respectively.

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Let smaller no be x and bigger be y

Put it in eq(1)

Now

The numbers are 9 and 30

we have only one outcome that is neither positive nor negative, then the statement is false.

What is square root?

A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to square rooting a number is to use it. Therefore, the concepts of squares and square roots are connected. The original number is equal to the square root of any integer, which is equivalent to a number.

Let's assume that m is an integer that is positive, such that (m.m) = (m2) = m.

This seems to be true because:

-2*-2 = 2*2 = 4

So √4 = 2 and -2

But particularly the square root of zero is:

√0 = 0

So here we have only one outcome that is neither positive nor negative, then the statement is false.

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Step-by-step explanation:

5.

\(y = \frac{2}{3} x - 1\)

6.

\(y = - x + 8\)

7.

given two points

(-4,2) and (0,-4)

slope is (-4-2)÷(0-(-4))=-6÷4=-1.5

\(y = - 1.5x - 4\)

8.

given two points

(0,0) and (5,0)

slope is 5

\(y = 5x\)

9.

\(2x + 8y = 16 \\ x + 4y = 8 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2\)

10.

\(3x - y = 5 \\ y = 3x - 5\)

Answer:72

Step-by-step explanation: that is not the answer so eaj

Program for the relation triangle (n,t) is  t = n * (n + 1) / 2.

To write a program for the relation triangle (n, t), where t is the nth triangular number, follow these steps:

Here's an example of how to use this function:

python

n = 5
t = triangle (n)

This will output:

The 5th triangular number is 15.

With this program, you can easily find the nth triangular number by calling the "triangle" function with the desired value of "n".

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