Which number sequence follows the rule subtract 15 starting from 105? 15, 30, 45, 60, 75 15, 10, 25, 20, 35 105, 100, 95, 90, 85 105, 90, 75, 60, 45

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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The correct expression that represents the statement "Budweiser is bland if either Heineken is balanced or Foster's is refreshing" is option (c) B-(HVF).

Option (c) B-(HVF) represents the logical statement "Budweiser is bland (B) if not (-(HVF)) either Heineken is balanced (H), Foster's is refreshing (F), or both."

The statement states that Budweiser is bland if either Heineken is balanced or Foster's is refreshing. In logical terms, this can be represented as "Budweiser is bland if (Heineken is balanced) or (Foster's is refreshing)."

The expression B-(HVF) captures this logic. The '-' symbol denotes the negation or "not" operator. So, -(HVF) means "not (Heineken is balanced and Foster's is refreshing)."

The expression B-(HVF) states that Budweiser is bland if not both Heineken is balanced and Foster's is refreshing. This aligns with the given statement and correctly represents the logical relationship between Budweiser's blandness and the conditions related to Heineken and Foster's.

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Answer:

y = (5/3) * x -7/3

Step-by-step explanation:

To find the line that goes through these points, we can first define the equation of a line to be y = mx + b, with m being the slope and b being the y intercept. To find the slope, we can use the formula

(change in y) / (change in x). Applying this, we have (6-(-4))/(5-(-1)) = 10/6 = 5/3. Then, we have y = (5/3)*x + b as our equation. Plugging a value in for x and y, such as (-1, -4), we have

-4 = (5/3) * (-1) + b

= -5/3 + b. Adding 5/3 to both sides to isolate the b, we get

-7/3 = b, resulting in an equation of

y = (5/3) * x -7/3

Answer:

10%

Step-by-step explanation:

5/50 = 10/100

10/100 = 10%

Answer:

5 gallons is 10% capacity.

Step-by-step explanation:

5 gallons accounts for 10% of a container which holds 50 gallons.

\((\frac{1}{10} )*50=5\)

Answer:

the mean is 5

Step-by-step explanation:

All we need to do is substitute and solve:

f(-5) = 5(-5) + 40

f(-5) = -25 + 40

f(-5) = 15

Best of Luck!

The inequality does not belong with the other three is  - 1 ≤ x/1.25.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given,

1.  4x ≥ 12 ⇒ x ≥ 3.

2.  - 1 ≤ x/5 ⇒ - 5 ≤ x.

3.  12 > x/1.25 ⇒ x < 15.

4.  2.5x > - 6.4 ⇒ x > - 2.56.

x ≥ 3 and  x < 15 is,    3 ≤  x < 15.

- 5 ≤ x and x > - 2.56 here one common region is x > - 2.56 so - 5 ≤ x does not fit.

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Answer:

3x242x-4

2(363x-2)

726x-4 the answer

Step-by-step explanation:

because this is the answer

sana nakatulong

Answer:

x = 10.8

y = 11.2

Step-by-step explanation:

AB : AP = AC : AQ

5 :(5+9) = 6 : (6+x)

5: 14 = 6 :(6+x)

5(6+x) = 14*6

30 + 5x = 84

5x = 54

x = 10.8

AB : AP = BC :PQ

5 :14 = 4 : y

5y = 14*4

y = 11.2

The exact value of cscθ is (35 * √(1190)) / 1190.

To find the value of cscθ (cosecant θ) given that cosθ = 1/√35 and sinθ < 0, we can use the reciprocal relationship between sine and cosecant.

Recall that cscθ is the reciprocal of sinθ. Since sinθ is negative, we can determine its value based on the quadrant in which θ lies.

In the unit circle, the cosine is positive in the first and fourth quadrants, while the sine is negative in the third and fourth quadrants.

Given that cosθ = 1/√35 and sinθ < 0, we can conclude that θ lies in the fourth quadrant.

Using the Pythagorean identity, sinθ = √(1 - cos^2θ), we can calculate the value of sinθ:

sinθ = √(1 - (1/√35)^2)

     = √(1 - 1/35)

     = √(34/35)

     = √34 / √35

     = (√34 / √35) * (√35 / √35)     [Multiplying numerator and denominator by √35 to rationalize the denominator]

     = √(34 * 35) / 35

     = √(1190) / 35

Now, since cscθ is the reciprocal of sinθ, we have:

cscθ = 1 / sinθ

     = 1 / (√(1190) / 35)

     = 35 / √(1190)

     = (35 * √(1190)) / 1190.

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Step-by-step explanation:

y = kx

3 = k × 12

.: k = 12/3 = 4

Inputting that to when y = 96 Ibs.

We have:

96 = 4 × x

96 = 4x

.: x = 96/4

x = 24 realms.

Let

x -----> number of liters of 10% acid solution

y ----> number of liters of 70% acid solution

so

we have that

x+y=90 ------> x=90-y -----> equation 1

Remember that

10%=10/100=0.10

70%=70/100=0.70

20%=20/100=0.20

so

0.10x+0.70y=0.20(90) ------> equation 2

Solve the system of equations

substitute equation 1 in equation 2

0.10(90-y)+0.70y=0.20(90)

solve for y

9-0.10y+0.70y=18

0.60y=18-9

0.60y=9

y=15

Find out the value of x

x=90-y

x=90-15=75

therefore

the answer is

The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

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Answer:

38.58

Step-by-step explanation:

Answer:

24 inches

absolutely 100% definitely

Answer:

10

Step-by-step explanation:

I just took the test

Answer:

15,296

Step-by-step explanation:

Hope this helps!

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer:

56 chickens or 112 legs

There is only 1 real zero of the function.

What are Zeros of a Function?

The zeros of a function are the values of the function's variables that fulfil the equation and yield the function's value of 0. The zeros of a function can be represented graphically as the x-coordinates (x-intercepts) where the graph intersects the x-axis.

Solution:

As mentioned above,

The zeros of a function can be represented graphically as the x-coordinates (x-intercepts) where the graph intersects the x-axis.

So,

We can see that there is only one point where the graph intersects the x-axis.

Therefore, it can be said that there is only 1 real zero of the function.

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Answer:

\(\boxed{\bf A.\: 33x-33=33x+25}\)

\(\boxed{\bf B.\: 33x+33=33x+25}\)

\(\boxed{\bf D.\;33x-25=33x+25}\)

Step-by-step explanation:

\(\boxed{\bf A.\: 33x-33=33x+25}\)

\(\tt 33x-33=33x+25\)

\(\tt 33x-33-33x=33x+25-33x\)

\(\tt -33=25\)

Sides are not equal meaning there's no solution.

___________________

\(\boxed{\bf B.\: 33x+33=33x+25}\)

\(\tt 33x+33=33x+25\)

\(\tt 33x+33-33x=33x+25-33x\)

\(\tt 33=25\)

Sides are not equal therefore, there's no solution.

___________________

\(\boxed{\bf C.\;33x+25=33x+25}\)

\(\tt 33x+25=33x+25\)

Both sides are equal, there are infinitely many solutions.

___________________

\(\boxed{\bf D.\;33x-25=33x+25}\)

\(\tt 33x-25=33x+25\)

\(\tt 33x-25-33x=33x+25-33x\)

\(\tt -25=25\)

The sides are not equal, there's no solution.

Therefore, options, A, B and D have no solutions.

_________________________

Hope this helps!

Answer:

2.2, 2000, -4500, 025 are integers

Answer:

y = \(\frac{36}{25}\)

Step-by-step explanation:

y ∝ \(\frac{1}{x^2}\)

=> y = \(\frac{k}{x^2}\) --------------(1)

Now, y = 4 and x = 3.

Putting in (1)

=> 4 = \(\frac{k}{9}\)

=> k = 4*9

=> k = 36

Now, y = ?, when x = 5

Putting in (1)

=> y = \(\frac{36}{5^2}\)

=> y = \(\frac{36}{25}\)

The test statistic (1.407) is less than the critical value (1.645), we failed to reject the null hypothesis.

What is Proportion?

A proportion is an equation that defines that two given ratios are equivalent to each other. In other words, a ratio indicates the equality of two fractions or ratios.

A. To determine the sample proportion, we divide the number of individuals who reported using the Internet to download music by the total sample size:

Sample proportion = Number of users who download music / Total sample size

= 286/550

≈ 0.5207

Thus, the sample proportion is approximately 0.5207.

b. In order to perform a one-proportion z-test, we must check the conditions:

Random sample: The survey states that the sample is 550 Gen Y web users, assuming it was a random sample.

Independence: We assume that the responses of one site user do not affect the responses of other site users.

Sample size: Both np and n(1 - p) should be at least 10, where n is the sample size and p is the predicted proportion. In this case, np = 550 * 0.5207 ≈ 286.1335 and n(1 - p) = 550 * (1 - 0.5207) ≈ 263.8665. Both values ​​are greater than 10, so the condition is met.

Now we can perform a hypothesis test:

Null Hypothesis (H₀): The proportion of Gen Y web users who use the Internet to download music is equal to 0.5 (or 50%).

Alternative Hypothesis (H₁): The proportion of Gen Y web users who use the Internet to download music is greater than 0.5.

We will use a significance level of 0.05.

We can calculate the test statistic using the formula:

z = (sample proportion – predicted proportion) / sqrt[(hypothesized proportion * (1 – predicted proportion)) / n]

Enter the values:

z = (0.5207 - 0.5) / sqrt[(0.5 * (1 - 0.5)) / 550]

≈ 1.407

We can now find the critical value for a one-sided test at the 5% significance level. When we look up the z-value in a standard normal distribution table, we find that the critical value is approximately 1.645.

Since the test statistic (1.407) is less than the critical value (1.645), we failed to reject the null hypothesis. Therefore, the data does not provide sufficient evidence to conclude that the majority of Gen Y web users use the Internet to download music at the 5% significance level.

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the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].

Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.

How to solve?

An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.

So,p'=201/356=0.56460

The 95% confidence interval for the proportion of all dies that passed the probe will be,

p∈[p'±zα/2√p'(1−p')/n]

p∈[0.56460±1.96×√0.56460(1−0.56460)356]

p∈[0.513,0.616]

So the 95% confidence interval is [0.513,0.616].

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Answer:

D

Step-by-step explanation:

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during set  World War II.

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during World War II. The program was enacted by the United States in 1941 and allowed the US to provide war materials to its allies without requiring repayment. It was a major factor in the Allied victory, as it allowed the US to supply its allies with much needed war material and resources. The US provided a variety of goods, including food, oil, weapons, and tanks. It also supplied the Soviet Union with millions of tons of military equipment and supplies. Lend-Lease was instrumental in helping the Allies win the war, as it allowed them to gain a huge advantage over the Axis powers by providing essential supplies and resources.

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Answer:

A  -6 divided by (-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

hope this helps . Please mark my answer as best

77.2 percent of mothers with children under age 6 work in the United states.

Mothers are less likely to work when their children are young than when they are older: In 2019, women with children under the age of six had a labor force participation rate of 66.4%, while those with children aged six to seventeen had a rate of 76.8%.

Among mothers with children under the age of three, married mothers were less involved than mothers of other marital situations — 62% versus 66%.

Working women confront child care challenges: According to a Center for American Progress poll, half of American families reported trouble getting child care.

Based on the amount of time and resources based on the amount of time based on the amount of time based on the length of time based on the length of time based on the length of time based on the duration of time based on the amount of time.

More over two-thirds of homemakers indicated they would "search for employment" if they could find more affordable child care. One-third of part-time parents stated they would work more hours if child care was available.

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Answer: 25%

Step-by-step explanation:

You could get both aces or both faces or you could get a face and ace

Answer: 12/221

Step-by-step explanation: 4P2/52P2 + 12P2/52P2= 12/221