A multiple is a number
that is the ____
of
a given number and
some other number.

Answer:

6) x=20.64

7) x=12.423

8) x=26.5

Step-by-step explanation:

The first 4 terms are 6,7,8,9 and the 10th term is 15 for given sequence.

Given:

n + 5

substitute n = 1,2,3,4....

= n+5

= 1+5

= 6

= 2+5

= 7

= 3+5

= 8

= 4+5

= 9

First four terms are 6,7,8,9

[tex]T_10 =[/tex] a + (n-1)d

= 6 + (10-1)1

= 6+9*1

= 15

10th term = 15

Learn more about the sequence here:

https://brainly.com/question/21961097

#SPJ4

Full question:

For each sequence find the first 4 terms and the 10th term:

n + 5.

two polynomials are relatively prime if the greatest common divisor of the two polynomial is 1

How do you prove two polynomials are relatively prime?

Two polynomials from Z[x] are called evaluationally relatively prime if the greatest common divisor of the two polynomials in Z[x] is 1 and gcd(f(t),g(t)) = 1 for all t ∈ Z.

learn more about of polynomial here

https://brainly.com/question/11536910

#SPJ4

Answer:

K=F/q

Step-by-step explanation:

When x and y are directly proportional and when x is halved then y is also halved or (C) it is multiplied by 1/2.

DIRECTLY PROPORTIONAL: connected, i.e., one grows or shrinks in proportion to the other. His income is directly correlated with the number of units he sells.

If we spend Rs. 50 on two pens, as an example.

For four pens, it will cost us 100 Rs.

When the ratio x:y1 is constant, two values, x and y, are said to be inversely proportional to one another.

So, if a relationship between two variables, x and y, can be represented in the form y/x = k OR y = kx, it represents a proportionate variation.

Then,

If x rises, y will follow.

If x declines, y will follow.

So, we obtain:
When x is cut in half, y does as well.

Therefore, when x and y are directly proportional and when x is halved then y is also halved or (C) it is multiplied by 1/2.

Know more about being directly proportional here:

https://brainly.com/question/1266676

#SPJ4

Correct question:
Two quantities, x and y, are directly proportional. If x is halved, what happens to y?

a. clear check it is doubled.

b. It is squared.

c. It is multiplied by 1/2.

d. It depends on the starting value of x.

The total ways are there for her to select the schedule for the week =  [tex]\frac{22!}{15!}} \\\\[/tex]  

Given, She makes 22 different dishes for each of the seven days of the week.

Total ways are there for her to select the schedule for the week = [tex]$ ^{22}P_7[/tex]

As We know,

[tex]$ ^nP_k=\frac{n!}{(n-k)!}} \\[/tex]

[tex]$ ^{22}P_7=\frac{22!}{(22-7)!}} \\\\[/tex]

[tex]\ $ ^{22}P_7=\frac{22!}{15!}} \\\\[/tex]

Hence, The total ways are there for her to select the schedule for the week =  [tex]\frac{22!}{15!}} \\\\[/tex]  

Learn more about permutation Here brainly.com/question/1216161

#SPJ4

You should consider option B - Translated but also locally adapted for the audience, with regard to your online content.

Any content that exists as digital data is considered online content. Otherwise called advanced media, computerized content is put away in computerized or simple capacity in unambiguous configurations.

A company's website should become more international in terms of content and supported languages if it wants to expand globally.

The content of a website must not only be translated into the language of the audience or user in that country but also adapted to fit the cultural and linguistic characteristics of that language, both of which are essential for expanding a website's or company's presence online internationally.

know more about expanding website here: https://brainly.com/question/7618432

#SPJ4

(complete question)

If you are looking to expand your company's presence online internationally, which of the following should you consider with regards to your online content?

A . Translated by an automated tool only

B Translated but also locally adapted for the audience

C Translated into the native language

D Left the same, and not translated

The value of r is found as 3/2 such that line that passes through the pair of points.

The slope is given bye the equation;

m = (y2 - y1)/(x2 - x1)

For the given question, the points are given as;

(x1, y1) = (r, -5),

(x2, y2) = (3, 13)

m = 8

8 = (13 + 5)/(3 - r)

8(3 - r) = 18

8r = 6

r = 3/2

Thus, the value of r is found as 3/2 such that line that passes through the pair of points.

To know more about the slope of the line, here

https://brainly.com/question/16949303

#SPJ4

The correct question is-

Find the value of r so the line that passes through each pair of points has the given slope. (r, -5), (3, 13), m = 8

If one of the pedestrian death is randomly elected, find the probability that the pedestrian was intoxicated or the driver was not intoxicated 0.6290.

Read more about pedestrian :

https://brainly.com/question/24872445

#SPJ4

Volume(V) of a sphere = 4πr^3

Charge within a small volume 'dV' is given by:

dq = ρ(r)dV

ρ(r) = C/r^2

Volume(V) of a sphere = 4/3(πr^3)

dV/dr = (4/3)×3πr^2

dV = 4πr^2dr

Therefore,

dq = ρ(r)dV ; dq =ρ(r)4πr^2dr

dq = C/r^2[4πr^2dr]

dq = 4Cπdr

FOR TOTAL ENERGY CHANGE 'Q', we integrate dq

∫dq = ∫4Cπdr at r = R and r = 0

∫4Cπdr = 4Cπr

Q = 4Cπ(R - 0)

Q = 4CπR - 0

Q = 4CπR

C = Q/4πR

Therefore, in the total energy change with all the terms given, the value of constant C in terms of Q, π and R is [Q/4πR].

To learn more about energy, refer: https://brainly.com/question/1932868

#SPJ4

The coordinates of the turning point on the curve with the equation y = 9 + 18x - 3x² is (3,36).

Any equation of the form [tex]axx^{2} + bx + c = 0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

y = 9 + 18x - 3x²

To find the turning point:

Graph the above quadratic equation;

From the graph:

The maximum point from where the graph starts to decrease is (3,36)

Thus, the coordinates of the turning point on the curve with the equation y = 9 + 18x - 3x² is (3,36).

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ4

After using the mean, the expected number of cups of coffee is 1.28. So the option a is correct.

In the given question, a sample of 2,500 people was asked how many cups of coffee they drink in the morning.

We have to find the expected number of cups of coffee.

x            Frequencyf(x)       x^2            x∙f(x)            x^2∙f(x)

0                600                    0                 0                  0

1                 800                    1                 800               800

2                900                    4                1800             3600

3                200                    9                600               1800

Total        2500                                     3200             6200

Mean = Sum of f.x/Sum of f

Mean = 3200/2500

Mean = 1.28

Mean = 1.28

The expected number of cups of coffee is 1.28.

To learn more about mean link is here

brainly.com/question/27824219

#SPJ4

The equation of the line that passes through the points (-2,-5) and (-4,-4): y = -1/2x - 6.

Given the following points that a line passes through below:

(-2, -5) and (-4, -4).

First, find the slope (m):

Slope (m) = change in y / change in x = (-4 -(-5)) / (-4 -(-2))

Slope (m) = 1/-2

Slope (m) = -1/2.

Find the y-intercept (b) by substituting m = -1/2 and (x, y) = (-4, -4) into y = mx + b:

-4 = -1/2(-4) + b

-4 = 2 + b

-4 - 2 = b

-6 = b

b = -6

To write the equation of the line, substitute m = -1/2 and b = -6 into y = mx + b:

y = -1/2x - 6

Learn more about the equation of a line on:

https://brainly.com/question/18831322

#SPJ1

To find the critical value that should be used in constructing the 80% confidence interval for the average amount spent by 8 to 11 year olds on a trip to the mall.

the proper z-score for an 80% confidence interval must first be established. Both a z-table and a z-score calculator may be used for this.Using a z-table, i may search up the value of z such that 80% of the area under the standard normal curve is to the left of z to get the z-score. This number is around 0.84.We can then use this z-score to calculate the 80% confidence interval by taking the sample mean and adding or removing the product of the z-score and the standard error of the mean. The standard error of the mean is computed by dividing the standard deviation by the square root of the sample size.

To learn more about critical value, visit:

https://brainly.com/question/14508634

#SPJ4

The greatest common multiple of 10 and 40 is 10.

The greatest common divisor (GCD) of two or more integers, where at least one of them is not zero, is the largest positive integer that is a divisor of both numbers. For example, the GCD of 8 and 12 equals 4.

In the divisibility preorder relation, the GCD of a and b is their greatest positive common divisor. This signifies that a and b's common divisors are the same as their GCD divisors. The Euclidean algorithm or Euclid's lemma are widely used to establish this. This is the definition of "greatest" in the context of GCD generalizations.

Foe calculating the GCD of 10 and 40, we have to find the factors of 10 and 40.

Factors of 10:

1, 2, 5, 10

Factors of 40:

1, 2, 4, 5, 10, 20, 40

From all these factors we have to choose the greatest factor that is exactly divisible by both 10 and 40 are 1, 2, 10, and 5.

So, the greatest common multiple of 10 and 40 is 10.

To know more about greatest common multiple, visit:

https://brainly.com/question/16190559

#SPJ4

The probability that this person is a graduate student is 0.3833.

From the recent census

40% of its students mainly used Ma- cintosh computers.

At the time of the census, 67% of the school's students were undergraduates.

In the census, 23% of the respondents were graduate students who said that they used PCs as their primary computers.

We have to find the probability that this person is graduate student.

Let A represent the event that student uses Mac.

So P(A)=40%=0.4, P(A')=60%=0.6

Then let B be the event that randomly chosen student is undergraduate·

So, P(B) = 67%=0.67, P(B')= 33%=0.33

Further, 23% of respondents were graduate. Students who said they used PCs as their Primary Computers

So P(B'∩A')=23%=0.23

If we select a student at random from among those who were part of the Census and learn that student mainly uses PC, then probability that this person is a graduate student is:

P(B'|A') = P(B'∩A')/P(A')

P(B'|A') = 0.23/0.6

P(B'|A') = 0.3833

Hence, the probability that this person is a graduate student is 0.3833.

To learn more about probability link is here

brainly.com/question/18915036

#SPJ4

The right question is:

Mac or PC? A recent census at a major university revealed that 40% of its students mainly used Ma- cintosh computers (Macs). The rest mainly used PCs. At the time of the census, 67% of the school's students were undergraduates. The rest were gradu- ate students. In the census, 23% of the respondents were graduate students who said that they used PCs as their primary computers. Suppose we select a student at random from among those who were part of the census and learn that the student mainly uses a PC. Find the probability that this person is graduate student. Show your work.

Answer:

Dimensions: 15 cm × 7 cm

Step-by-step explanation:

The number of pairs of consecutive integers in is no carrying required when the two integers are added are 156.

At the point when the last 3 digits of the continuous numbers are _999 and _000. Just conceivable case-1999, 2000

At the point when the last 2 digits of the continuous numbers are _ _ 9 9 and _ _ 0 0. Potential cases-5 (Comparing to (0,1) (1,2) (2,3) (3,4) (4,5) in the 100th spot)

At the point when the last digit of the successive numbers is of the structure _ _ _ 9 and _ _ _ 0. Potential Cases-5*5 = 25

At the point when none is of that structure. Potential cases-5*5*5 = 125

Reply = 125+25+5+1 = 156

Thus,there are 156 ways to make the pairs of the consecutive integers.

To know more about connective integer visit:

brainly.com/question/28340620

#SPJ4

There were 1575 boys and 945 girls.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3.

A ratio is a number with no units.

According to the information provided to us, there were 3 girls for every 5 boys.

3 to 5 girls to boys are the ratio.

The sum is 8.

We need to find the number of girls and boys

Out of 2,520, 3 to 5 girls were present.

We have 3/8(2520) = 7560/8 girls, which comes to 945.

For boys, 5/8(2520) = 12600/8 boys, which equals 1575.

Therefore, there were 945 girls and 1575 boys respectively.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ4

The required  local maximum and minimum values of f using both the First and Second Derivative Tests.

The local maxima is a point inside a stretch at which the capability has a most extreme worth. The outright maxima is likewise called the worldwide maxima and is the point across the whole area of the given capability, which gives the most extreme worth of the capability.

The local minima is the info an incentive for which the capability gives the base result values. The capability condition or the diagram of the capability isn't once in a while adequate to see as the nearby least. The subordinate of the capability is exceptionally useful in tracking down the nearby least of the capability.

f(x)=x/x^2+9

differentiate with respect to x

df(x)/dx = d(x/x^2+9)/dx = -2/x^2+2x^2/9

second derivative = 3/x^3+2x^3/3

Put this derivative equal to zero, then we will put given points, if it becomes negative then the point is on maxima, if it is positive then is on minima.

To know more about maxima and minima visit:

brainly.com/question/12870695

#SPJ4

By solving the equation we know that 15 players can be brought to the tournament.

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

So, we know that:

Softball players raised $1186.50 to attend a tournament.

They allocated $21.50 for meals per player and paid $842.50 for the bus rental.

We must apply the following calculation to determine the total number of players they are permitted to bring:

Formula: Total amount of money= fixed cost + unitary variable cost × number of players

1186.50 = 842.50 + 21.50 × number of players

1186.50 - 842.50 = 21.50 × number of players

344/21.50 = number of players

15 = Number of players

Therefore, by solving the equation we know that 15 players can be brought to the tournament.

Know more about the equations here:

https://brainly.com/question/28937794

#SPJ4

Here is the answer

1. Landing in a shaded portion and landing on 3

2. landing on a unshaded portion and landing on a  number less than 2

Events that do not occur simultaneously are said to be mutually exclusive. When a coin is tossed, for instance, the outcome will either be head or tail, but we cannot get both outcomes.

Events with no intersection are called mutually exclusive event.

What is being asked of us now.

Landing on a shaded portion means landing on either 1 or 4, as landing on 3 is impossible and will only result in landing on 3. So, there is no overlap between these occurrences.

Landing on an unshaded portion means landing on either 2 or 3.  And landing on a number less than 2 means landing on 1.

There is no intersection.

So these events are mutually exclusive.

To know more about mutually exclusive event:

brainly.in/question/24046023

#SPJ4

Answer:

a) 125 ml milk

b) 7.5g

Step-by-step explanation:

since 8 pancakes you need 250 ml of milk then you divide 250 by 2 since 8/2 is 4

250/2

125 ml milk

b)

We do the same as the other problem we find how much you need for 4 pancakes

5/2

2.5

Now you multiply by 3 since 4x3=12

2.5x3

7.5 g

Hopes this helps please mark brainliest

For the given binomial expression the coefficients of (a+b)³ are 1, 3, 3, 1

The constant coefficient is the coefficient that is not connected to any variables in an expression. For example, the constant coefficients in the formulas above are 3 and c, respectively. The leading coefficient is the coefficient associated to the variable with the highest degree in a polynomial. For example, in the formulas above, the leading coefficients are 2 and a, respectively.

We have,

The binomial expansion (a + b)³,

We know that,

The formula for binomial expansion,

(u + v)ⁿ = ⁿC₀uⁿv⁰ + ⁿC₁uⁿ⁻¹v¹ + ⁿC₂uⁿ⁻²v² + ⁿC₃uⁿ⁻³v³

Now,

u = a,

v = b,

And, n =3

Now,

By putting values,

(a + b)³ = ³C₀a³b⁰ + ³C₁a³⁻¹b¹ + ³C₂a³⁻²b² + ³C₃a³⁻³b³

(a + b)³ = ³C₀a³b⁰ + ³C₁a²b¹ + ³C₂a¹b² + ³C₃a⁰b³

Now,

By using combination formula,

On solving we get,

(a + b)³ = a³+3a²b+3ab²+b³

So,

Now,

The coefficients of :

a³ = 1,

3a²b = 3,

3ab² = 3,

b³ = 1,

So,

For the given binomial expression the coefficients of (a+b)³ are 1, 3, 3, 1

To know more about coefficient, visit:

https://brainly.com/question/27481600

#SPJ4

Answer: the answer is d

Step-by-step explanation:

I took the tes

A formula for the nth term of the sequence is [tex]a_n[/tex] = 2n+1.

Given:

A sequence follows a plus 2 pattern: 3, 5, 7, 9, ...

here

first term a = 3

common difference d = 5-3

= 2

here common difference is same throughout the sequence so given sequence are in Arithmetic progression.

so nth term:

[tex]a_n = a+(n-1)d[/tex]

= 3 + (n-1)2

= 3+2n-2

= 2n+1

Therefore  A formula for the nth term of the sequence is [tex]a_n[/tex] = 2n+1.

Learn more about the sequence here:

https://brainly.com/question/21961097

#SPJ1

The probability that she succeeds at fewer than 7 free-throws is 0.19

The table of values is given as

5: 0 successes

6: 5 successes

7: 8 successes

8: 6 successes

9: 6 successes

10: 1 success

From the above readings, the throws less than 7 are

5: 0 successes

6: 5 successes

So, the number of success is

Success = 0 + 5

Success = 5

The probability is then calculated as

P = Success/Total

So, we have

P = 5/(0 + 5 + 8 + 6 + 6 + 1)

Evaluate

P = 5/26

So, we have

P = 0.19

Hence, the probability is 0.19

Read more about probability at

https://brainly.com/question/251701

#SPJ1

The given variation y = 7x is a direct variation where any increase in the variable x also increases the value of the variable y.

The given variation is represented as -

y = 7x

We have to identify if the given variation is direct or inverse or joint or combined.

Let us first the different mathematical relationships mentioned here.

Now that we know the definitions of different types of variations, let us look into the given variation, which is -

y = 7x

We can see that the variable y is 7 times the multiple of another variable x. Thus, this is a case of direct variation such that any increase in the variable x also increases the value of the variable y.

Therefore, the given variation y = 7x is a direct variation type.

To learn more about direct variation visit https://brainly.com/question/13977805

#SPJ4

Answer:

4.2

Step-by-step explanation:

you look at where x=-1.5 and it’s about 4.2 where it is

Hopes this helps please mark brainliest

Answer:

a. 4 b.8

Step-by-step explanation:

a.

0 ∈ x<5

f(x)=x+4

f(0)=0+4=4

b.

6 ∈ 5≤x<7

f(x)=8

f(6)=8