y = - (x + 3)^2 + 5 Step 4: Evaluate the function for x = -5

Answer:

General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.

Based on the given data, we can Reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

Based on the given data, we can make the following inferences:

b. Most knitters use some kind of specialty yarn:

Since the total number of knitters surveyed is 100, and each knitter was asked about their preference for specialty yarn, we can infer that most knitters (if not all) use some kind of specialty yarn. This is because all the surveyed knitters were specifically asked about their preference for specialty yarn, indicating that specialty yarn is commonly used among knitters.

c. More knitters like boucle yarn than other specialty yarns:

According to the data, 40 knitters preferred boucle yarn, which is more than the number of knitters who preferred any other specialty yarn. Therefore, we can infer that among the surveyed knitters, there is a higher preference for boucle yarn compared to other specialty yarns.

The other statements cannot be reasonably inferred from the given data:

a. The data does not provide information about the number of knitters using sequin yarns compared to fuzzy yarns. We only have information about the preference for boucle, mohair, and metallic yarns.

d. The data does not provide information about the preference of 500 knitters or the comparison of boucle yarn to other specialty yarns among a larger population.

e. The data does not provide information about the preference for metallic yarn compared to plain yarn among the surveyed knitters. The data only includes information about the preference for boucle, mohair, and metallic yarns.

In conclusion, based on the given data, we can reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

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Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equation of the line is y = (3/2)x + 1.

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

4 = (3/2)(2) + 1

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The common ratio with the range  

−

1<r< 1

the formula is  

S=a11−r

We will use this formula because,  

r=12

Sum  

S=a11−r=21−12=4

God bless....I hope the explanation is useful...

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

6 cm by 6 cm

Step-by-step explanation:

We know that the formula for area of a square is A = s² where A = area and s is the length of one side. We know that A = 36 so:

36 = s²

√36 = s

s = ±6

Note that s = -6 is an extraneous solution because you can't have a side length of -6, therefore the answer is s = 6 so the dimensions of the square are 6 cm by 6 cm.

The area of a square is found using the formula area = s^2, where s is the length of a side. ( a square has 4 equal sides).

Given the area you have:

36 = s^2

Find a by taking the square root of both sides:

S = sqrt(36)

S = 6

The square has a side length of 6 cm.

Answer:

Yes, The commutative property of multiplication is: a × b = b × a. In short, in commutative property, the numbers can be added or multiplied to each other in any order without changing the answer. Let us see some examples to understand commutative property. Example 1: Commutative property with addition.

No, the equation 9 x 7 = 7 x 9 does not demonstrate the commutative property of multiplication.

The commutative property of multiplication states that the order of the numbers being multiplied does not affect the result; you can switch the order, and the product will remain the same.

In the given equation, both sides evaluate to 63 (9 x 7 = 63 and 7 x 9 = 63), so it might appear to satisfy the commutative property at first glance. However, this equation represents a single instance where the numbers used happen to have the same product. The commutative property should hold true for all pairs of numbers, which is not the case here.

For example, switching the order for 3 x 5 and 5 x 3 results in different products (3 x 5 = 15 and 5 x 3 = 15). Since the equation 9 x 7 = 7 x 9 does not hold true for all pairs of numbers, it does not illustrate the commutative property of multiplication.

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Answer: 6 5/6, decimal: 6.83, 41/6

Answer: 41/6 or 6 5/6

Step-by-step explanation:

2 1/3 + 4 1/2

7/3 + 9/2

14/6 + 27/6

41/6

6 5/6

Answer:

B.5

Step-by-step explanation:

dp/dt = t ² p - p + t ² - 1

Factorize the right side:

dp/dt = p (t ² - 1) + (t ² - 1)

dp/dt = (p + 1) (t ² - 1)

So the differential equation is separable as

dp/(p + 1) = (t ² - 1) dt

Integrate both sides:

∫ dp/(p + 1) = ∫ (t ² - 1) dt

ln|p + 1| = t ³/3 - t + C

Solve for p :

p + 1 = exp(t ³/3 - t + C )

p + 1 = C exp(t ³/3 - t )

p = C exp(t ³/3 - t ) - 1

Answer:

Step-by-step explanation:

initial growth = 11

growth in 6 months= 3*6= 18

Final growth = 29 inches (11+18)

Answer:

It is a positive number.

Step-by-step explanation:

Numbers that are above 0 are considered positive and numbers below 0 are considered negative.

~Anna

Answer:

T<2 its the answers

Your welcome

Answer:

Step-by-step explanation:

y = -|x|

The graph is facing downwards, meaning it is negative.

Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

Answer:

\(\frac{4}{13}\)

Step-by-step explanation:

1÷3\(\frac{1}{4}\)=3+\(\frac{1}{4}\),  3×\(\frac{4}{4}\)

1÷\(\frac{13}{4}\)

Answer:

1/30 of a mile per minute.

Step-by-step explanation:

8/4 = 2 miles per hour.

2/60 = 1/30 of a mile per minute.

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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Answer:

The Range = 72

Step-by-step explanation:

Definition ==================================

The Range of data set is is the difference between the smallest and largest values

……………………………………………………………

The Range = 78 - 6 = 72

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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Answer:

$63.63

Step-by-step explanation:

(1.29+3.29+2.49)•9

7.07•9=63.63

Answer: false

Step-by-step explanation:

3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.

True, the decimal equivalent of 3/5 is a repeating decimal.

We have,

The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.

When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.

This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.

Thus,

True, the decimal equivalent of 3/5 is a repeating decimal.

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51.25 per month which is $615 per year

They save 5 per month if they pay full year

(51.25-5)= 46.25 per month is $555

so it costs $555 if they pay all at once.

Answer:

mine is the same answer $555

Answer: t>6

Step-by-step explanation:

Amount to pay = Cost of kennel + (Cost per toy )x (Number of toys)

Let t = the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option.​

Given, At Paws R Us, she would pay $50.75 for the kennel and $3.75 for each pet toy.

Amount to pay =  $(50.75 + 3.75t)

At Truth or Tail, she would pay $43.25 for the kennel and $5 for each pet toy.

Amount to pay =  $(43.25 + 5t)

According to the question , we have

50.75 + 3.75t < 43.25 + 5t

Subtract 3.75t from both sides

50.75+ 3.75t -3.75t   < 43.25 + 5t -3.75t

⇒ 50.75< 43.25 +1.25 t

Subtract  43.25 from both sides, we get

50.75 - 43.25 < 1.25 t

⇒  7.5< 1.25 t

Divide both sides by 1.25 we get

⇒   6<t

Hence, the required inequality to represent t, the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option:

\(t>6\) .

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

1( ×=2

2( x=5

ekekjejew

The probability that they include at least five persons having blood of type O is given as follows:

0.1075 = 10.75%.

The number of donors needed so that the probability of including at least one student donor of type O shall be 0.9 or more is of 184 donors.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

n = 200, p = 1/80 = 0.0125.

The probability of less than five is given as follows:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Using a binomial distribution calculator, these probabilities are given as follows:

Hence the probability of less than five successes is given as follows:

P(X < 5) = 0.0808 + 0.2046 + 0.2576 + 0.2153 + 0.1342 = 0.8925.

Hence the probability of at least five is given as follows:

P(X >= 5) = 1 - P(X < 5) = 1 - 0.8925 = 0.1075.

The probability of at least one is given as follows:

P(X >= 1) = 1 - P(X = 0)

P(X >= 1) = 1 - (1 - 0.0125)^n.

This probability is of 0.9 when:

1 - (1 - 0.0125)^n = 0.9

(0.9875)^n = 0.1

log((0.9875)^n) = log(0.1)

nlog(0.9875) = log(0.1)

n = log(0.1)/log(0.9875)

n = 183.1.

Rounding up, at least 184 donors must be surveyed.

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