ALlice, Bob, and Kevin go to an ice cream shop that sells 7 different flavors of ice cream:chocolate, vanilla, mint chip, strawberry, cookie dough, banana, and caramel. They decide to eachorder 9 scoops of ice cream. The order in which they order the scoops does not matter (all thatmatters is how many of each flavor that they order).(a) Alice sees all the flavors and they all look so good that she decides she wants to try asmany as possible. How many ways can she choose her 9 scoops so she gets at least 1 scoop ofeach flavor? What word describes the type of function from Alice's 9 scoops to the 7 flavors?(b) Bob's stomach hurts if he eats too much mint. How many ways can Bob choose his 9scoops so that he gets no more than 4 scoops of mint chip?C is Kevin sees all the flavors and decides he wants to try the fruit flavors. How many ways can she order at least 3 schools of strawberry or atleast 3 schools of banana

Answer:

the question is not visible

The equation for hyperbola with given foci is \(\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1\)

What is hyperbola?

In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.

The standard equation of a horizontal hyperbola with center (h,k) is

\(\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1\)

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is 2a= 4-(-10)

2a=14

a=7

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is \((\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)\)

Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

c= 6-(-3)=9

So, 7^2+b^2=9^2

b^2= 9^2-7^2

b^2= 81-49

b^2= 32

Hence, on substituting the obtained values in the standard equation of hyperbola, we get

\(\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1\)

\(\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1\)

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We make a ten frame by taking 1 from the next left digit of the number in which we are doing subtraction.

According to the question,

We have the following information:

Making a ten frame

Now, we know that in making a ten method we take 1 from the next left digit of the number from which we are subtracting any other number. Or in other words, it is said to be taking a carry.

Now, this number 1 is treated as 10 instead of 1 and then 10 is added to the digit to ease subtraction in lower grades.

For example, 25-19 can be performed when we add a ten to 5 by taking 1 from 2.

Hence, we make a ten frame by taking 1 from the next left digit of the number in which we are doing subtraction.

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Answer:

Group the like terms together:

4x²y + 6x²y + 12z² - 2z

Simplify:

10x²y + 12z² - 2z

The simplified expression is 10x²y + 12z² - 2z.

Step-by-step explanation:

Answer:

The simplified expression is 10x²y + 12z² - 2z

Step-by-step explanation:

To simplify the expression, we combine like terms, which are terms that have the same variables raised to the same powers. In this case, we have two terms with the variable 4x²y and two terms with the variable -2z. We can combine these like terms by adding their coefficients:

4x²y + 6x²y = 10x²y

-2z + (-2z) = -4z

So the expression simplifies to:

10x²y + 12z² - 4z

We can further simplify this expression by combining the terms with the variable z:

12z² - 4z = 4z(3z - 1)

Therefore, the final simplified expression is:

10x²y + 4z(3z - 1)

We can also write this expression as:

10x²y + 12z² - 2z

which is the answer provided.

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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#1

\(\\ \sf\longmapsto m=\dfrac{-3-1}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}\)

\(\\ \sf\longmapsto \dfrac{-3}{2}\)

Option B

#2

Attached(1)

#3

Attached (2)

#4

Attached (3)

#5

\(\\ \sf\longmapsto Slope=m=\dfrac{3-7}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}\)

Put in slope intercept form

\(\\ \sf\longmapsto y=mx+b\)

\(\\ \sf\longmapsto 3=\dfrac{-2}{3}(3)+b\)

\(\\ \sf\longmapsto 3=b-2\)

\(\\ \sf\longmapsto b=3+2=5\)

Equation of the line:-

\(\\ \sf\longmapsto y=\dfrac{-2}{3}x+5\)

Option C

\( \large \bf \implies{4}\)

Evaluate it \(\Downarrow\)

\(\bf \longrightarrow {a}^{2} - (ab + c)\)

\( \bf \longrightarrow{a}^{2} - (ab + c)\)

Putting the values according to the question:

\( \bf \longrightarrow {(2)}^{2} - ((2)( \frac{3}{2} ) + (3)) \\ \\ \bf \longrightarrow4 - \cancel{2} \times \frac{3}{ \cancel{2}} + 3 \\ \\\bf \longrightarrow 4 - \cancel{ 3 + 3} \\ \\ \bf \longrightarrow4\)

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

3

Step-by-step explanation:

Given that,

\(f(x) =-x^3-8x^2-15x+3\)

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

\(f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3\)

Hence, the value of the given function is equal to 3.

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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no lo sé lo siento por responder está pregunta es que necesito puntos

Using the given function, the income for day 31 is

the total Income for working 31 days is

Using the given function an = a1 (r)^n-1

where

a1 = first day = 1

r = common ratio = 2

The income on day 31, n = 31

= 1 * 2^(31 - 1)

= 2^30

= 1,073,741,824 cents

= $10,737,418.24

Total Income for working 31 days n = 31

Using Sn= a1 (1-r^n) / 1 - r

Sn = (1 * (1 - 2^31)) / (1 - 2)

Sn = (1 - 2^31)) / - 1

Sn = (1 - 2147483648) /-1

Sn = 2147483647

Sn = 2,147,483,647 cents

Sn = $21 474 836.47

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Answer:

6.4

Step-by-step explanation:

1-1.6

4X1.6=6.4

Answer:

B. 46.

Step-by-step explanation:

First we set up the equation A(n)=-172 and substitute the given equation for A(n), giving us -172=8+(n-1)(-4). Simplifying, we get -180=(-4n+12), or -4n=-192, or n=48. However, n represents the number of terms in the sequence, and since the sequence starts with n=1, we need to subtract 1 from our answer to get the term number corresponding to A(n)=-172. Therefore, the answer is B) 46.

Answer:

3) a translation followed by a reflection

Step-by-step explanation:

First, to get to A'B'C'D', we can see that A is still on top, D is on the right, etc. -- everything is just shifted up and to the right. This signifies a translation as it is simply a shift.

Next, to get to A''B''C''D'', we can see that A'' is now on the right. If this would be a rotation from A'B'C'D', we can visualize it as the shape rotating to the right. B'' would then be on top as it is to the left of A' in A'B'C'D', so if B' would be rotated to the right, it would then go to the top of A''. However, B'' is in the bottom, and D'' is on the top, signifying a flip of what the rotation would be. As this is not a simple shift, the only option left is a reflection.

Answer:

y = -4/3x + 6

Step-by-step explanation:

1. 3y - 4x + 3y = 18 - 3y

2. 4x = -3y + 18

3. 18 - 4x = -3y + 18 - 18

4. -3/ -3y = 4x - 18 /3

5. y = -4/3x + 6

Answer:

r = −0.08, weak negative correlation

 r = −0.83, strong negative correlation

 r = 0.96, strong positive correlation

r = 0.06, weak positive correlation  

Answer:

A

32/16=2.

Or it could be B, but I'm thinking mainly A

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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To find the value of a1 in a geometric sequence, we can use the formula:

an = a1 * r^(n-1)

Given that an = 200, r = -3, and Sn = 152, we can utilize the formulas for the sum of a geometric sequence to find the value of a1.

The formula for the sum of a geometric sequence is:

Sn = a1 * (1 - r^n) / (1 - r)

Let's substitute the given values:

152 = a1 * (1 - (-3)^n) / (1 - (-3))

To find the value of n, we can rearrange the formula:

(1 - (-3)^n) / (1 - (-3)) = 152 / a1

Simplifying further:

(1 - (-3)^n) / 4 = 152 / a1

Now, we know that an = 200, and we can substitute these values into the formula for an:

200 = a1 * (-3)^(n-1)

Since we have two equations involving a1 and n, we can solve this system of equations to find the value of a1.

Dividing the second equation by the first equation:

(-3)^(n-1) / 4 = 200 / 152

Simplifying further:

(-3)^(n-1) / 4 = 25 / 19

To solve for n, we can take the logarithm of both sides:

log((-3)^(n-1) / 4) = log(25 / 19)

(n-1) * log(-3) - log(4) = log(25) - log(19)

Now, we can solve for n:

(n-1) * log(-3) = log(25) - log(19) + log(4)

n - 1 = (log(25) - log(19) + log(4)) / log(-3)

n = 1 + (log(25) - log(19) + log(4)) / log(-3)

Using a calculator, we can find the approximate value of n:

n ≈ 2.191

Now that we have the value of n, we can substitute it back into the equation:

(1 - (-3)^n) / 4 = 152 / a1

(1 - (-3)^2.191) / 4 = 152 / a1

Simplifying further:

a1 ≈ 52.717

Therefore, approximately, a1 ≈ 52.717.

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Answer:

This expression is read as the sum of 3n as n goes from 1 to 10. Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .

Answer:

23. 20/30, 18/30, and 15/30

24. 10/18, 6/18, and 15/18

Step-by-step explanation:

Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.

A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.

Part A: The percentage of green beans in the circle graph is 14%.

14% of 200 = 0.14 x 200 = 28

Part B: The circle graph shows:

pumpkin plants and tomato plants is 20% + 20% = 40%.

40% of 200 = 0.40 x 200 = 80

Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.

36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52

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Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D

Answer:

The equation of the circle   (x +1) )² +(y-(2))² = (2(√5))²

  or

The equation of the circle    x² + 2 x + y² - 4 y  = 15

Step-by-step explanation:

Given points end  Points are p(-3,-2) and q( 1,6)

The distance of two points formula

P Q = \(\sqrt{x_{2} - x_{1})^{2} + ((y_{2} -y_{1})^{2} }\)

P Q = \(\sqrt{1 - (-3)^{2} + ((6 -(-2))^{2} }\)

P Q = \(\sqrt{16+64} = \sqrt{80}\)

The diameter 'd' = 2 r

                       2 r = √80

                            = \(\sqrt{16 X 5}\)

                           = \(4 \sqrt{5}\)

                      r =  2√5

Mid-point of two end points

                       \((\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} ) = (\frac{-3+1}{2} ,\frac{-2 +6}{2} )\)

                                              = (-1 ,2)

Mid-point of two end points = center of the circle

                                    (h,k) = (-1 , 2)

The equation of the circle

           (x -h )² +(y-k)² = r²

         (x -(-1) )² +(y-(2))² = (2(√5))²

        x² + 2 x + 1 + y² - 4 y + 4 = 20

         x² + 2 x + y² - 4 y  = 20 -5

          x² + 2 x + y² - 4 y  = 15

Final answer:-

The equation of the circle   (x +1) )² +(y-(2))² = (2(√5))²

  or

The equation of the circle    x² + 2 x + y² - 4 y  = 15

Answer:

Step-by-step explanation:

Answer:Una cámara de televisión está a 30 pies de uno de los lados de 94 pies de una cancha, y está a 7 pies del centro. Determinar qué ángulo debe barrer.

Step-by-step explanation:

Answer:

the volume of the sidebox is 512 cubic inches

Step-by-step explanation:

The computation of the volume of the shipping box is shown below:

The Volume of the sidebox = Length × height × weight

= 8× 8 × 8

= 512 cubic inches

hence the volume of the sidebox is 512 cubic inches

We simply applied the above formula

Answer:

1000

Step-by-step explanation:

(8+2)to the power of 3 = 1000

Step-by-step explanation:

1 mile=5280 feet

0.5 mile=2640 feet.

The fastest that a seahorse can travel is 2,640 feet per hour. The top speed in miles per hour is 0.5 miles per hour.Can be also.

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