1
What word phrase can you use to represent the algebraic expression?

2x + 7

Answer:

Frequency

Step-by-step explanation:

Hope this helps.

The given sequence converges to zero

The given sequence is {an}n = 1∞ = 1/ (n + 3).

The task is to find whether the sequence converges or diverges.

If it converges, then we have to determine the limit of the given sequence.

The general term of the sequence is given by,

an = 1/ (n + 3) ...[1]

The given sequence is

{an}n = 1∞ = 1/ (n + 3).

For the given sequence, let us check whether it is converging or diverging.

To determine if the sequence converges or diverges, we take the limit of the sequence.

Let, L = limit of sequence.

Then,

lim n→∞an = lim n→∞1/ (n + 3)

Put n = ∞ in [1].

an = 1/ (n + 3)an = 1/ (∞ + 3) = 0L = 0.

Hence,

lim n→∞an = 0.

Since limit exists, we can say that the sequence is convergent.

If the sequence is convergent, then we can find its limit.

To find the limit of the sequence, we can directly write the value of the limit.

L = 0.

Hence, the given sequence converges to zero.

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Answer:

You can buy 8 pizzas

Step-by-step explanation:

$58 - $10 = $48

$48/$6 = 8

Answer: 102 foot / feet tall

Step-by-step explanation:

First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1

Second, multiply . . . what is 1.2 x 85 ? 102

( sorry if this is wrong - I forgot how to do the second part for a sec )

To determine whether the series [infinity] ln(n^2)/(3n^2 + 8) n = 1 is convergent or divergent, we can use the limit comparison test. By comparing it with a known convergent or divergent series, we can determine the nature of this series.

To determine the convergence or divergence of the series [infinity] ln(n^2)/(3n^2 + 8) n = 1, we can use the limit comparison test. First, we choose a known convergent or divergent series to compare it with. In this case, we can compare it with the series 1/n^2, which is a convergent p-series.

We take the limit as n approaches infinity of the ratio of the terms of the given series and the chosen series:

lim(n→∞) ln(n^2)/(3n^2 + 8) / (1/n^2)

By applying L'Hôpital's rule to the numerator and denominator, we get:

lim(n→∞) 2n/(6n) = 1/3

Since the limit is a finite positive value, the given series and the series 1/n^2 have the same convergence behavior. Therefore, the given series is convergent.

To find the exact sum of the series, additional calculations or techniques such as partial fraction decomposition may be required. However, this information is not provided, so the exact sum cannot be determined with the given information.

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The inverse function of C(U) = U + 15 is U(C) = C - 15, representing the uncurved grade in terms of the curved grade. The correct option is OD. U(C) = C - 15.

To find the inverse function of C(U) = U + 15, we need to switch the roles of U and C and solve for U.

Let's denote the inverse function as U(C).

C = U + 15

To find U, we subtract 15 from both sides:

C - 15 = U

Therefore, the inverse function is U(C) = C - 15.

Among the given options, the correct inverse function is OD. U(C) = C - 15.

This inverse function represents the uncurved grade (U) in terms of the curved grade (C). It allows us to determine the original uncurved grade when we know the curved grade after applying a curve of adding 15.

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The greatest common factor for the given list of monomials is x^3y^3z^4.

To find the greatest common factor (GCF) of the given monomials, we need to identify the highest power of each variable that appears in all of them.

The variables present in the monomials are x, y, and z. Let's determine the highest power of each variable that appears in all three monomials:

x: The highest power of x that appears is x^3 in the first monomial.

y: The highest power of y that appears is y^3 in the first monomial.

z: The highest power of z that appears is z^4 in the first monomial.

Now, we can take the lowest exponent for each variable:

x^3, y^3, z^4

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Answer:

12.12

Step-by-step explanation:

4% of 110 = 4.4

4.4 x 3 = 12.12

b. 1/52 is approximately 0.0192307692307692, which is a repeating decimal.

d. 1/4 is equal to 0.25, which is a terminating decimal.

a. 0.8 is equivalent to the fraction 4/5.

b. 0.5454... is equal to the fraction 6/11.

d. 0.185 is equivalent to the fraction 37/200.

c. 0.0777... is equal to the fraction 7/91.

b. To convert 1/52 to a decimal, we divide 1 by 52, which gives us approximately 0.0192307692307692. The fraction 1/52 is a repeating decimal because it does not terminate and repeats the sequence 019230 over and over.

d. To convert 1/4 to a decimal, we divide 1 by 4, which gives us 0.25. The fraction 1/4 is equivalent to the terminating decimal 0.25.

a. To convert 0.8 to a fraction, we express it as 8/10 and simplify it. Simplifying by dividing both the numerator and denominator by their greatest common divisor, which is 2, we get 4/5. Therefore, the fraction 0.8 is equivalent to 4/5.

b. To convert 0.5454... to a fraction, we observe that the repeating part is 54. We can represent it as 54/99. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 9, we get 6/11. Hence, the repeating decimal 0.5454... is equal to the fraction 6/11.

d. To convert 0.185 to a fraction, we express it as 185/1000 and simplify it. By dividing both the numerator and denominator by their greatest common divisor, which is 5, we obtain 37/200. Therefore, the repeating decimal 0.185 is equivalent to the fraction 37/200.

c. To convert 0.0777... to a fraction, we observe that the repeating part is 077. We can represent it as 77/999. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 11, we get 7/91. Thus, the repeating decimal 0.0777... is equal to the fraction 7/91.

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Answer:

S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2

Step-by-step explanation:

The given letters are;

SEND

MORE

MONEY

If we are to add the first two words to get the third word, then we have;

SEND + MORE = MONEY

Where, the letters are unique digits

The maximum value of M = 1, because, the two words are in thousands and their sum is in tens of thousands, they can make up to only a 10

Therefore, S = 9

O = 0

D + E = 10 + Y

1 + N + R = 10 + E

1 + E  = N

∴ 1 + N + R = 10 + E gives;

1 + 1 + E + R = 10 + E

R = 10 + E - (1 + 1 + E) = 8

R = 8

We have;

9 XXX + 108X = 10XXX

From 1 + N + R = 10 + E, we have;

1 + N + 8 = 10 + E

END + RE = NEY

E(1 + E)D + 8E = (1 + E)EY

(1 + E)EY - E(1 + E)D = 8E

10 + Y - D = E

By trial and error, we have;

If Y = 2 and D = 3, we have E = 9 which is not unique

Y = 4 and D = 3, we have E = 11 which is a double digit

Y = 2 and D = 7, we have E = 5

∴ N = 6 which is unique

Trying the combination gives;

S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2

SEND + MORE = MONEY → 9567 + 1085 = 10652 which is correct.

For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

Answer:

7.89 seconds

Step-by-step explanation:

using the quadratic formula (-b+-√(b^2-4ac))/2a

a=-16 b=119 c=57

x=-0.451

and

x=7.889

time cant be negative so use the positive x

Time required for the rocket to hit the ground would be 7.9 s.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given the quadratic equation as;

-16x² + 119x + 57 = 0

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = -16, b = 119 and c = 57

b² - 4ac = (119 )² - 4(-16)(57)

= 14161 + 3648

= 17809

So, x = [-(119) ± √17809]/ 16(2)

= (-119 ± 133.4)/32

Therefore, the time is 7.9 s.

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The value of n from the given expression is y =  (x-2)/z

The subject of formula is a way of representing a variable in terms of other variables.

Given the expression

x-2/y = z

Cross multiply

x - 2 = yz

Divide both sides by z

(x-2)/z = yz/z

(x-2)/z = y

Swap

y =  (x-2)/z

Hence the value of n from the given expression is y =  (x-2)/z

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Answer :

\(\frac{( x - 2 )}{z} = y\)

Step-by-step explanation:

\(\frac{(x-2)}{y} =z\)

Use cross multiplication.

\(( x - 2 ) = yz\)

Now, to make y the subject divide both sides by z.

\(\frac{( x - 2 )}{z} = y\)

Answer:

x - 3

Step-by-step explanation:

\(-\frac{9}{x+3}\) + \(\frac{x^{2}}{x+3}\)

=  \(-\frac{9-x^{2}}{x+3}\)

=     \(-\frac{3^2-x^2}{x+3}\)

=     \(-\frac{(3-x)(x+3)}{x+3}\)

=     \(-\frac{(3-x)}1}\)

= x - 3

Answer:I don't know

Step-by-step explanation:bec i don't know

Answer:

Sixty-eight percent is likely an overestimate for the percentage of parents interested in the trip.

Step-by-step explanation:

Answer:

B. Sixty-eight percent is likely an overestimate for the percentage of parents interested in the trip.

Step-by-step explanation:

There are 2,808 different selections of 7 flowers from a set of 16.

What is Combinations and Permutations?

Combinations and permutations are mathematical concepts used to count and calculate the number of possible arrangements or selections from a given set of objects.

The number of different selections of 7 flowers from a set of 16 can be calculated using the combination formula. The formula for combinations, denoted as \($\binom{n}{k}$\)is given by:

\(\[\binom{n}{k} = \frac{n!}{k! \cdot (n-k)!}\]\)

where n is the total number of items in the set, and k is the number of items to be selected.

In this case, we have n = 16 (total number of flowers) and k = 7 (number of flowers to be selected). Plugging these values into the formula, we get:

\(\[\binom{16}{7} = \frac{16!}{7! \cdot (16-7)!}\]\)

Simplifying the expression, we have:

\(\[\binom{16}{7} = \frac{16 \cdot 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10}{7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}\]\)

Calculating the numerator and denominator separately, we get:

\(\[\text{Numerator} = 16 \cdot 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 = 14,158,080\]\[\text{Denominator} = 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 5,040\]\)

Finally, dividing the numerator by the denominator, we find:

\(\[\binom{16}{7} = \frac{14,158,080}{5,040} = 2,808\]\)

Therefore, there are 2,808 different selections of 7 flowers from a set of 16.

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(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:

s = 4

Step-by-step explanation:

The equation for the line of best fit for the data is p=25s+40.

Where p is no. of points and s is no. fo strikes

We need to find the number of strikes made by a bowler with 140 points.

Put p = 140

p=25s+40

140 = 25s+40

Subtract 40 to both sides,

140-40 = 25s+40-40

100 = 25s

⇒ s = 4

So, there are 4 strikes made by a bowler with 140 points.

Answer:  1 1/4

Step-by-step explanation:

the heaviest bunch of grapes weights 1 7/8 pounds

A line plot labeled 0 to 2 with tick marks every one-eighth unit. Above the tick mark at five-eighths is one dark blue dot. Above the tick mark for six-eighths is a column of two light blue dots. Above the tick mark at 1 there is a column of three light blue dots. Above the tick mark at one and four-eighths is a column of two light blue dots. Above the tick mark for one and five-eighths is a column of four light blue dots. Above the tick mark for one and seven-eighths is one light blue dot.

Step-by-step explanation:

We want Blue balls & total number of balls is 7

Therefore,

probability \: of \: getting \: blue \: ball \: is \: \frac{3}{7}probabilityofgettingblueballis

3/7

So,

first is your answer

Using the z-distribution, it is found that the 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

We are given the standard deviation for the population, hence, the z-distribution is used. The parameters for the interval is:

Sample mean of  \(x = 12.7\)

Population standard deviation of  \(\sigma = 6.37\)

Sample size of .n = 50

The margin of error is:

\(M = z \frac{\sigma }{\sqrt{n} }\)

In which z is the critical value.

We have to find the critical value, which is z with a p-value of  \(\frac{1+\alpha }{2}\) , in which  \(\alpha\) is the confidence level.

In this problem, , thus, z with a p-value of , which means that it is z = 1.96.

Then:

\(M= 1.96\frac{6.37}{\sqrt{50} } = 1.77\)

The confidence interval is the sample mean plus/minutes the margin of error, hence:

x- M = 12.17 - 1.77 =10.4

x+M = 12.17 + 1.77 = 13.94

The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

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Answer:

39/44

Step-by-step explanation:

change the mixed number to an improper fraction

13 / 4

multiply this by the first fraction

3 /11 TIMES 13 / 4

this gives you 39 /44

Answer:

it will mist likely be A hope this helps

Answer:

5y - 2

Step-by-step explanation:

1/3 ( 15y - 6 ) = (15y - 6) / 3 = 5y - 2

Done! Hope you learned how to do this/understood this and have a great day! Please mark me as brainliest, vote 5.0 on my answer and thank me to show some support! Bye!

The probability that their second child will be unaffected is 3/4.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen. Probability is calculated by the formula:

        P(E) = number of possible outcomes / total number of outcomes

The disease PKU known as Phenylketonuria is a rare inherited disorder. If the mother and father had and passed on the changed gene, then the child can inherit PKU. This is known as autosomal recessive.

The child to be affected by PKU, has to be aa. So, the first child who has the disease is aa. The unaffected child i.e. the second child is AA and Aa.

Here, the number of possible outcomes = 3 and total number of outcomes = 4

P(E)  =  3 / 4

        =  0.75

Therefore, the probability that the second child will be unaffected is 75%.

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There are 455 ways to choose a dozen donuts from the 15 available varieties with no restrictions. To determine the number of ways to choose a dozen donuts from 15 varieties with no restrictions, we can use the concept of combinations.

The number of ways to choose a dozen donuts from 15 varieties with no restrictions can be calculated using the combination formula. The formula for combinations is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen.

In this case, we have 15 varieties of donuts, and we want to choose 12 donuts. Applying the combination formula, we have C(15, 12) = 15! / (12!(15-12)!).

Evaluating this expression:

C(15, 12) = 15! / (12! * 3!) = (15 * 14 * 13 * 12!) / (12! * 3 * 2 * 1).

The factor of 12! cancels out in the numerator and denominator, leaving us with:

C(15, 12) = (15 * 14 * 13) / (3 * 2 * 1) = 455.

Therefore, there are 455 ways to choose a dozen donuts from the 15 available varieties with no restrictions.

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Cross product of a and b : a x b = (3 - t, t - t^2, t^3 - 3t^2)

To find the cross product a x b for a = (t, 3, 1/t) and b = (t^2, t^2, 1), follow these steps:

Write out the components of vectors a and b:

a = (t, 3, 1/t)
b = (t^2, t^2, 1)

Use the cross product formula:

a x b = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1)

Calculate the components of the cross product:

a x b = (3(1) - (1/t)(t^2), (1/t)(t^2) - t(1), t(t^2) - 3(t^2))

Simplify the expression:

a x b = (3 - t, t^2/t - t, t^3 - 3t^2)

Write the final cross product:

a x b = (3 - t, t - t^2, t^3 - 3t^2)

To verify that the cross product is orthogonal to both a and b, we need to check if the dot product of a x b with a and b is zero.

Calculate the dot product of a x b with a:

(3 - t)(t) + (t - t^2)(3) + (t^3 - 3t^2)(1/t)

Simplify the expression:

3t - t^2 + 3t - 3t^2 + t^2 - 3t = 0

Calculate the dot product of a x b with b:

(3 - t)(t^2) + (t - t^2)(t^2) + (t^3 - 3t^2)(1)

Simplify the expression:

3t^2 - t^3 + t^3 - t^4 + t^3 - 3t^2 = 0

Since both dot products are equal to zero, the cross product a x b = (3 - t, t - t^2, t^3 - 3t^2) is orthogonal to both vectors a and b.

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5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26