1: Use divisibility tests to answer the following: Is 112283 divisible by 9 with no remainder?​

Answer:

13, 21, and 34

Step-by-step explanation:

x(n) + x(n+1) + x(n+2)= 68

x(n), x(n+1), and x(n+2) are three consecutive Fibonacci numbers.

=> (x) + (x+k) + (x+x+k)=68

(x is a Fibonacci number and k is a positive integer)

=> 4x + 2k = 68

=> 2x + k = 34

=> x < 17

Check two Fibonacci numbers that are closest to 17 and smaller than 17.

x(n)=8 => x(n+1)=13, x(n+2)= 21

=>x(n) + x(n+1) + x(n+2)= 8 + 13 + 21 = 42 (not valid)

x(n) = 13 => x(n+1) = 21, x(n+2)= 34

=> x(n) + x(n+1) + x(n+2)= 13 + 21 + 34 = 68 (valid)

Hope this helps!

The most likely true statement is that the median is greater than the mean because the data is skewed to the left.

Based on the information provided, Indira makes a box-and-whisker plot of her data and finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. Which is most likely true? The answer is: the median is greater than the mean because the data is skewed to the left.

Here's a step-by-step explanation,

1. The distance from the minimum value to the first quartile being greater than the distance between the third quartile and the maximum value indicates that there is more data spread out on the left side of the plot.

2. This spread causes the data to be skewed to the left.

3. When data is skewed to the left, the median (Q2) is typically greater than the mean (average), as the mean gets pulled towards the longer tail on the left side.

So, the most likely true statement is that the median is greater than the mean because the data is skewed to the left.

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Answer:

the answer is 28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

Step-by-step explanation:

15 ile 25 arasında toplam 10 tam sayı var,
buna 25-15=10 şeklinde ulaşabiliriz. Ardından tek sayılar sorulduğu için ve bu 10 tam sayı içerisinde hem tek hemde çift olduğu için sayıyı ikiye böleriz
10/2=5 ve ardından en sonda bulunan 25 sayısını çıkarırız yani, 5-1=4

cevaplar: 17, 19,21,23

Answer:

I THINK** it's 115°

hope it helps ya...!

sorry if it's wrong :(

Answer:

Taking back all the points you took from me and did nothing.

Step-by-step explanation:

cost = $187.60

20% down

4 months of $39.40

1.- Calculate the 20%

187,6 ------------------- 100

x -------------------- 20

x = (20 x 187.6) / 100

x = 3752/100

x = 37.52

2.- Calculate the final price

Price paid = 37.52 + 4(39.40)

Price paid = 37.52 + 157.6

= $195.12

2.- Finance charge

= 195.12 - 37.52

= $157.6

The constant ratio of successive y-values. is 1.5

From the question, we have the following parameters that can be used in our computation:

The table of values of an exponential function

From the table, we have

x    y

0   11.25

1     16.875

Divide the y values

so, we have the following representation

Ratio = 16.875/11.25

Evaluate

Ratio = 1.5

Hence, the constant ratio of successive y-values. is 1.5

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Answer:

Step-by-step explanation:

To find the constant ratio of successive y-values of an exponential function, you need to divide one term by the previous term. That ratio should match for all y values1.

In this case, we can find the constant ratio by dividing each y-value by the previous one. For example, 7.5/5 = 1.5 and 11.25/7.5 = 1.5 and so on. Therefore, the constant ratio of successive y-values is 1.5

The probability of all four women being on the search committee as members in it is 1/273.

We have 15 people in total out of which there are 10 men and 5 women. We need four people on the committee out of these 15.

The probability of that happening can be calculated using the formula -

= Probability of all four women getting selected/Probability of all getting selected

= (5!/4!.1!) / (15!/4!11!)

= (5!/4!1!) * (4!11!/15!)

= (5*4*3*2*1) / (15*14*13*12)

= 1/273

From this, we know that if we need to have all four women as members of the search committee, the probability of that happening is 1/273.

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Answer:

let the number of meals = m

mark me as brainliest ❤️

Answer:

About .9332

Step-by-step

This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.

Answer:

Based on the given information, we know the following:

Solid A is formed by joining one hemisphere to the frustum of a cone.

Solid B is formed by joining the other hemisphere to the small cone that was removed from the large cone.

The volume of solid A is 6 times the volume of solid B.

We can use the formulas for the volume of a hemisphere and a frustum of a cone to represent the volumes of solids A and B.

The volume of a hemisphere is (2/3)πr^3, where r is the radius of the hemisphere.

The volume of a frustum of a cone is (1/3)πh(R^2+r^2+Rr), where h is the height of the frustum, R is the radius of the larger base and r is the radius of the smaller base.

The volume of a cone is (1/3)πr^2h

Let's call the height of the frustum h, the radius of the large base R and the radius of the small base r

We can set up the equation: (2/3)πr^3 = 6((1/3)πr^2h + (1/3)πR^2h + (1/3)πRrh)

After simplifying, we get:

2h = 12r + 12Rh + 6Rr

We know k = (R/r)^(1/3)>(7)^1/3, we can substitute it into the equation:

2h = 12r + 12rk + 6rk^2

Solving for h, we get:

h = 6rk + 6rk^2

So h is expressed in terms of k and r.

All three identities are correct, and there is no wrong identity among them.

We have,

(2x + 3)² = 4x² + 12x + 9

This is the formula for squaring a binomial, and it expands correctly.

(4a - b)² = 16a² - 8ab + b²

This is also the formula for squaring a binomial, and it expands correctly.

(5a - b)(5a + b) = 25a² - b²

This is the formula for the difference of squares.

When multiplied, it results in the difference of two squares, which is a valid identity.

Therefore,

All three identities are correct, and there is no wrong identity among them.

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There is 48% probability that the two socks will match .

The branch of mathematics concerned with the occurrence of random events. Values ​​are represented from 0 to 1. Probability was introduced into mathematics to predict the probability of an event occurring. Probability basically means how likely it is that something will happen. This is the basic theory of probability and is also used in probability distributions to learn possible outcomes of random experiments. To determine the probability of a single event occurring, we first need to know the total number of possible outcomes.

Since there are a total of 35 socks, the probability of both socks being blue is

P(blue) = 15/35 * 14/35 = 3/35 * 14/7 = 3/35 * 2 = 6/35

The probability of both being grey is

P(grey) = 20/35 * 19/35 = 19/35 * 4/7  = 76 / 245

The probability that they match is

P(blue) + P(grey) = 6/35 + 76/245  =  42+76/245 = 118/245 = 0.48 = 48%

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Answer:

C) 1

Step-by-step explanation:

The average rate of change remains constant among the 3 given points as \(\frac{5-4}{2-1}=1\) and \(\frac{10-5}{7-2}=1\), so your answer is C

The polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which the terms with higher exponents are written on left side to those which have lower exponents.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

\(x^3 + 3x +5\)

is a polynomial consisting 3 terms as \(x^3, 3x \: \rm and \: 5\)

Cheking all the options for them being in standard form or not:

Second term has 4 as exponent, but on its left, the first term has 2 as exponent. So higher expoent holding term is not on left. Thus, this polynomial is not in standard form.

4 > 3 > 1 (comparing the exponents), and the terms holding them are also in this order (left to right).

Thus, this polynomial is in standard form.

Not in standard form because the last term has bigger power then the term on its left.

Not in standard form because the last term has bigger power then the term on its left.

Thus, the polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

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\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Areas,

Let's divide the above map in to 2 parts , that is a rectangle and a triangle, and add both thier areas to get the area of the Nevada.

so we get as,

Area of triangle = 1/2*b*h

Area of triangle ==> 1/2*309*306 ==> 47277 mi^2

Area of rectangle = l*b = 205*309 ==> 63345 mi^2

Area of NEVADA = 47277 + 63345 = 110622 mi^2

hence the area = 110622 mi^2

Answer:

the approximate area of Nevada is 110,567 mi²

They will require 4 (4/11) days to complete the remaining work together.

Time is the duration during which any activity or work happens or continues.  Work is a task or set of activities to achieve a certain result

It takes Ann alone 10 days to translate a document.

Ann's work in one day = 1/10

In 2 days = 2 / 10

Work left = 8 / 10

Ben alone now takes 12 days to translate a document.

Ben's work in one day = 1/12

We will now use addition.

Combined work of both Ann and Ben in 1 day = 1 / 10 + 1 / 12 = 11 / 60

Time taken to complete the rest of the work = 8 / 10 ÷ 11 / 60

= 48 / 11 = 4.4 days.

As a result, they need 4 (4/11) days to finish the remaining work together.

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Answer:

x = 19

Step-by-step explanation:

-8 + 22 = 13x - 5 - 12x​

switch sides

13x - 5 - 12x = -8 + 22

group like terms

13x - 12x = -8 + 22 + 5

simplify:

x = 19

The horizontal asymptote of function f(x) is y=6.5, which is a straight line, which means that even if time is infinite, the pH of the mouth will not rise above 6.5, which is the normal pH of the mouth.

A function's horizontal asymptote is a horizontal line with which the function's graph appears to coincide but does not actually coincide. The horizontal asymptote is used to determine the behavior of the function.

When either lim x f(x) = k or lim x - f(x) = k, the horizontal asymptote of a function y = f(x) is a line y = k. . It is commonly abbreviated as HA. In this case, k is a real number that the function approaches when x is extremely large or extremely small.However, the maximum number of asymptotes that a function can have is 2.

Given,

\(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\)

The horizontal asymptote of the function f(x) can be determined by

\(y=\lim_{x \to \infty} f(x)\\\\=\lim_{x \to \infty}\frac{6.5x^2-89.4x+3734}{x^2+576}\\\\=\lim_{x \to \infty}\frac{x^2(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{x^2(1+\frac{576}{x^2})}\\\\=\lim_{x \to \infty}\frac{(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{(1+\frac{576}{x^2})}\\\\=\frac{(6.5-\frac{89.4}{ \infty}+\frac{3734}{ \infty})}{(1+\frac{576}{ \infty})}\\\\=\frac{6.5-0+0}{1+0}\\\\=\frac{6.5}{1}=6.5\)

Thus, the horizontal asymptote of function f(x) is y=6.5 which is straight line which means even the time reaches infinity the pH of mouth will not increase more than 6.5, which is the normal pH of mouth.

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Your question is incomplete, here is the complete question.

The function \(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\) models the pH level f(x) of a mouth x minutes after eating food containing sugar. The graph of this function is shown.

What is the equation is the horizontal asymptote associated with is function? Describe what this means in terms of mouth's pH level over time.

Medium-range forecasts are weather predictions that cover a period of two to four days. These forecasts are critical for planning activities and making decisions that rely on weather conditions.

To produce these forecasts, meteorologists use essentially the same procedures as short-term forecasting, but with the addition of statistical analysis. The statistical approach involves examining past weather patterns and trends to determine the likelihood of similar patterns occurring in the near future. This helps to provide a more accurate forecast than relying solely on numerical models.

Interestingly, medium-range forecasts are longer in Europe than in the United States. This is because Europe has a more dynamic weather system, with greater variations in temperature, pressure, and wind. To account for these complexities, European meteorologists rely on a broader range of data sources and statistical techniques. This includes the use of computer models, satellite imagery, and ground-based observations. In contrast, the weather in the United States tends to be more stable, making it easier to produce medium-range forecasts using numerical models alone.

In summary, medium-range forecasts are an essential tool for predicting the weather in the near future. Meteorologists use a combination of procedures, including statistical analysis, to produce accurate predictions. The length of these forecasts can vary depending on the region, with Europe requiring more sophisticated techniques due to the dynamic nature of its weather system.

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Answer: he invested $120000 at 6% and $281000 at 9%

Step-by-step explanation:

Let x represent the amount invested at 6%

Let y represent the amount invested at 9%

The Actor invest some money at 6% and $41000 more than twice the amount at 9%. This means that

y = 2x + 41000- - - - - - - - - 1

The interest gotten from x is

6/100 × x = 0.06x

The interest gotten from y is

9/100 × y = 0.09y

The total annual interest earned from the investment is $32490. It means that

0.06x + 0.09y = 32490- - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

0.06x + 0.09(2x + 41000) = 32490

0.06x + 0.18x + 3690 = 32490

0.06x + 0.18x = 32490 - 3690

0.24x = 28800

x = 28800/0.24

x = 120000

Substituting x = 120000 into equation 1, it becomes

y = 2(120000) + 41000

y = 281000

Answer:

80 ounces is heavier by 8 ounces or half a pound

Step-by-step explanation:

1 pound = 16 ounces

4.5*16= 72 ounces

Answer:

6:2

Step-by-step explanation:

Answer:6:2 I hope this is helpful

Step-by-step explanation:

6 apples to 2 mangos is 6:2

Answer:

the right answer is 87,5%

Answer:

\(→0.875 \times 100 = \boxed{ 87.5\%}✓ \\ \)

The price elasticity of demand measured using midpoint method, for a price change between $10 and $2 can be determined as follows:Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]Given that P1 = $10, P2 = $2, Q1 = Q2, and the price has decreased from $10 to $2.

Therefore, the midpoint price (P) = (P1 + P2) / 2 = ($10 + $2) / 2 = $6The midpoint quantity (Q) = (Q1 + Q2) / 2 = Q1 / 2 + Q2 / 2 = Q / 2 + Q / 2 = Q.ΔP = $2 − $10 = −$8ΔQ = Q − Q = 0Hence, the absolute value of the price elasticity of demand using the midpoint method for a change in price from $10 to $2 is :Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]E = [0 / {Q / 2}] ÷ [−8 / $6]E = 0 ÷ −1.3333E = 0

So, the correct answer is option B: 1.

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Formula. Binomial theorem:

\((x + y)^ n = C(n,0) x^{ny}^{0} + C(n,1)x^{(n-1)} \ \ y + C(n,2)x^{(n-2)} \ y^2 + ...+ C(n,n+1)xy^{(n-1)} + C(n,n)x^{0y}^n\)

So, for n = 5:

\((x + 2)^5 = C(5,0)x^5 + C(5,1)x^4 \ . \ 2 + C(5,2) x^3 \ . \ 2^2 + C(5,3)x^2 \ . \ 2^3 + C(5,4)x \ . \ 2^4 + C(5,5) \ . \ 2^5\)

So, the third term is \(\bold{C(5,2)x^3 2^2}\)

The number of boys and girls in a team after the selection of participants are 2 and 3, respectively

The number of boys are girls are given as

Boys = 28

Girls = 42

Sections = 6

To form teams with the same number of boys and girls on each team, we need to determine the greatest common factor (GCF) of the number of girls and the number of boys.

Factors of 28: 1, 2, 4, 7, 14, 28

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

The greatest common factor of 28 and 42 is 14.

So, we have

Boys = 28/14 = 2

Girls = 42/14 = 3

This means that each team has 2 boys and 3 girl

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