A rectangle playground is 40 meters by 10 meters

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

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Answer:

Step-by-step explanation: it will take 16 minute

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Answer:

  3 ft

Step-by-step explanation:

The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:

  (1/6)(18 ft) = 3 ft

The parking meter post shadow is 3 feet long.

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer: The range is 20, Standard Deviation, σ: 6.8702256149271

Step-by-step explanation:

I hope it helped!

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The value of t for which the rockets height is 25 meters is 40.7 seconds

From the information, the ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s. h= 4 + 36t - 16t².

Therefore, the values of t for which the rockets height is 25 meters will be:

h= 4 + 36t - 16t².

where h = 25

25 = 4 + 36t - 16t².

Collect like terms

25 - 4 - 36t + 16t² = 0

16t² - 36t -21 = 0

Using almighty formula

t = 40.7 seconds.

Therefore, the value of t for which the rockets height is 25 meters is 40.7 seconds

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When listing all the pairs of factors for a particular term, the factorization process is used.

This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.

For example, if we want to find all pairs of factors for the number 24, we could follow these steps:

Start with 1 and the number itself (in this case 24), as these are always factors.

Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.

Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.

When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.

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3 days.

\(\frac{log0.10}{log0.5} = 3.32\) half-lives.

So, A's half-life is \(\frac{33}{3.32} = 9.94\).

B's half-life is \(\frac{43}{3.32} = 12.95\).

⇒ 3 days.

Therefore, the correct answer is 3 days.

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Answer:

Step-by-step explanation:

4x² + 76 = 32

4x² = -44

x² = -11

but x² must be non-negative, so there is no real solution.

By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

The Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.

ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).

Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

Substituting the given values, we get:

2/c = [ 2ln7 - 2ln1 ] / (7 - 1)

2/c = ln7

c = 2 / ln7

c ≈ 0.909

Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

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Answer:

Hence,

a)

Test statistic \(X^{2}\) = 9.269.  

p value = 0.148

b)

Sunday=  15.23%, Monday= 12.62%, Tuesday= 13.10%, Wednesday=11.67%,

Thursday= 13.10%, Friday= 16.19%, Saturday= 18.09%.

Step-by-step explanation:

a)

                    relative observed    Expected       Chi square

Category   frequency(p)      \(O_{i}\)    Ei=total*p    \((O-E)^{2}\) \(R^{2}_{i} =(O_{i} -E_{i} )^{2} /E_{i}\)

     1           0.142857143      64.0         60.00    16.00          0.267

    2           0.142857143      53.0       60.00     49.00         0.817

    3           0.142857143      55.0         60.00     25.00        0.417

    4           0.142857143      49.0       60.00     121.00        2.017

    5           0.142857143      55.0         60.00     25.00        0.417

    6           0.142857143      68.0         60.00     64.00        1.067

    7           0.142857143      76.0         60.00    256.00        4.267

  Total         1.000      420        420             556       9.269

Test statistic \(X^{2}\) = 9.269.  

p value = 0.148 from excel: chidist(9.269,6)  

b)

Percentage %= Frequency of traffic occur on category x 100 / Total number of frequency given.

Category          Percentage%

Sunday                   15.23%

Monday                    12.62%

Tuesday                   13.10%

Wednesday           11.67%

Thursday           13.10%

Friday                   16.19%

Saturday                   18.09%

Answer: The sales tax is $2.5 and her total cost of the shirt is $47.5.

Step-by-step explanation:

Answer:

j < 2

Step-by-step explanation:

Simplify both sides of the inequality and isolating the variable would get you the answer

Cameron has 1 book left over after sorting it into group of 5

To determine the number of book left,

we need to first divide 56 by 5         [56 ÷ 5]

Quotient = 11

then find the remainder which is 1

therefore there os only 1 book left over

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The solution to the linear system are 7/3, 0 and -8/3 respectively

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

The system of equations are linear equation but must have three solutions.

x + y - z = 5 ...eq(i)

x + 2y + 2z = -3 ...eq(ii)

2x - 3y + z = 2 ...eq(iii)

Solving for x, y and z

The value of x, y and z are 7/3, 0 and -8/3 respectively.

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The attached graph represents the graph of the function y = h(2x) + 1

The points on the graph of y= h(x) are:

(-1,-2), (-2,-4), (0,0), (2,-1), (4,-2)

Using the above ordered pairs, the points on y = h(2x) + 1 are:

When x = -1, h(2x) = h(-2) = -4

So, we have:

y = -4 + 1 = -3

When x = -2, h(2x) = h(-4) = -8

So, we have:

y = -8 + 1 = -7

When x = 0, h(2x) = h(0) = 0

So, we have:

y = 0 + 1 = 1

When x = 2, h(2x) = h(4) = -2

So, we have:

y = -2 + 1 = -1

When x = 4, h(2x) = h(8) = -4

So, we have:

y = -4 + 1 = -3

So, the points on the graph of y = h(2x) + 1 are:

(-2,-7), (-1,-3),  (0,1), (2,-1), (4,-3)

Next, we plot the graph of y = h(2x) + 1

See attachment for the graph of y = h(2x) + 1

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The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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Answer:

A

Step-by-step explanation:

x=1 y=9  it i shard for me to explain but you just need to find how it would look like as y=mx+b or even just y=mx

Answer: first one is 700

Step-by-step explanation:

The measure of angle B is given as follows:

m < B = 49.2º.

Two angles are said to be complementary angles when the sum of their measures is of 90º.

The measures are given as follows:

As the angles are complementary, the value of x is obtained as follows:

x + 21 + 4x - 30 = 90

5x - 9 = 90

5x = 99

x = 19.8.

Hence the measure of angle B is obtained as follows:

m < B = 4 x 19.8 - 30

m < B = 49.2º.

The measures are given as follows:

The angles are complementary, and it asks for the measure of angle B.

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Answer:

2. ad is the angle bisector of angle a

3. ad is perpendicular to bc

4. both are right angles as given

5. common

6. ASA congruence

Step-by-step explanation:

the more likely an event the closer it is to being certain

the more unlikely an event the closer it is to being impossible

the value of the function at t = 7 is 1723.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given the function: x(t) = 6T³ - 7t²- 6t + 50.

the value of x at t = 7

Substitute the value of t in the given function

x(7) = 6 * 7³ - 7*7² - 6 * 7 +50

x(7) = 1723

Therefore, the value of the function at t = 7 is 1723.

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Answer: 7 radios

Step-by-step explanation:

The following can be deduced from the question:

Number of radios tested = 125 radios

Percentage acceptable = 60%

Numbers acceptable:

= 60% × 125

= 0.6 × 125

= 75 radios

Numbers rejected = 125 - 75 = 50 radio

We are further told that the inspector tested 25 more radios, this will be:

Number of radios tested

= 125 + 25 = 150 radios

Percentage acceptable = 62%

Numbers acceptable

= 62% × 150

= 0.62 × 150

= 93 radios

Numbers rejected= 150 - 93 = 57 radios

The number of these 25 radios that were rejected will be:

= 57 - 50

= 7 radios

Answer:

The probability of not picking a pink jelly bean: 11/15    

Step-by-step explanation:

As we know that the maximum value of the probability of an event would always be 1.

Given that the probability of picking a pink jelly bean out of a bag is 4/15.

Thus, the probability of not picking a pink jelly bean can be calculated by subtracting 4/15 from the maximum probability '1'.

i.e.

Probability of not picking a pink jelly bean = max probability - 4/15

                                                                       = 1 - 4/15

                                                                      = 11/15

Therefore, the probability of not picking a pink jelly bean: 11/15                                                                    

Answer:

d

Step-by-step explanation:

See the attached image.

Answer:

C) Exponential

Step-by-step explanation:

If you divide the consecutive y-values, you'll get a consistent result of 2:

16/8 = 2

8/4 = 2

4/2 = 2

2/1 = 2

This type of pattern corresponds to an Exponential Function.        

The two solutions of the equation:

(6x - 12)/3 + 4 = 18/x

Are x = 3 and x = -3

Here we have the following equation:

(6x - 12)/3 + 4 = 18/x

Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.

Now, let's start by simplifying the left side:

(6x - 12)/3+  4 = 18/x

2x - 4 + 4 = 18/x

2x = 18/x

Now we can multiply both sides by x so we get:

2x^2 = 18

Now divide both sides by 2:

x^2 = 18/2

x^2 = 9

Finally, apply the square root in both sides:

√x^2 = ±√9

x = ±3

The two solutions are x = 3 and x = -3

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