Tavon makes 2 gallons of fruit punch. Each cup holds 1/16 of a gallon. How many cups of fruit punch can Tavon fill? a. 8 cups b. 16 cups c. 24 cups d. 32 cups

Answer: 195 students in all

Step-by-step explanation

There is groups of three and each group has 9 pictures so that would mean 3 pictures per student so you would divide 585 by 3 to get 195 students.

We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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Answer:

5 31/136

Step-by-step explanation:

12+7/8-(1+1/7+3+1/2)(2-1+3/17) (sorry for the addition signs I can't write fractions)

add/subtract

12+7/8-(65/14)(14/17)

multiply

12+7/8-65/17

subtract

5 31/136

The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

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Answer:

\(\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\)

Step-by-step explanation:

Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:

In order to solve for the average rate of change, we could simply use the average rate of change formula:

Average rate of change = Change in output/Change in input

\(\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}\)

Let (x₁, y₁) = (61, 2002)

    (x₂, y₂) = (71, 2014)

Substitute these values into the average rate of change formula:

\(\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}\)

\(\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\).

Answer: 12

The answer to this equation would be 12, I hope this helps.

Answer:

Please check the explanation.

Step-by-step explanation:

Given that

\(m=-1\)

point = (2, 4) has the x-coordinate x=2, and y-coordinate y=4

Now, fill in the blanks:

y = __4__     ,      m = __-1__     ,    and     x = __2__

\(y=mx+b\)

_4_ = -1 (__2__)+b

_4_ = _-2_ + b

_6_ = b

The y-intercept is _6_.

The equation of the line is y = _-1_ x + _6_

The polynomial function is the product of three terms, each of which is a linear factor with a zero of 2-i, 1/3 respectively.

A polynomial function is a mathematical expression composed of constants and variables, and is used to model a wide variety of phenomena. The polynomial function can be expressed in terms of the factors of its zeros. In this case, the polynomial function of lowest degree with rational coefficients that has the given numbers 2-i, 1/3 as some of its zeros is (x+2)(x-i)(x-1/3). This polynomial can be expressed as the product of three terms, each of which is a linear factor with a zero of 2-i, 1/3 respectively. This means that when x is equal to 2-i or 1/3, the value of the polynomial function is zero. The linear factors are multiplied together to give the polynomial, and this is the simplest form of a polynomial that satisfies the given criteria. The polynomial can then be used to model a variety of phenomena by taking into account the different factors and their effects on the system.

f(x) = (x+2)(x-i)(x-1/3)

f(2-i) = (2-i+2)(2-i-i)(2-i-1/3)

f(2-i) = 0

f(1/3) = (1/3+2)(1/3-i)(1/3-1/3)

f(1/3) = 0

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find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 2-i, /3 f(x) = (x+2)(x-i)(x-1/3)

Unless your credit card issuer states otherwise, your payment must be received by 5 p.m. on the due date, or you'll face late payment penalties. Some credit card issuers may extend the payment cut-off time to as late as 11:59 p.m. Eastern Time under certain circumstances.

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

Answer:

The answer is C

Step-by-step explanation:

c.  8√(2^4 )

given 2^(4/8)  can be written as 2^(4×1/8)  

eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4

further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2

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Answer:

\(-3x+3\)

Step-by-step explanation:

Imagine the equation like this:

\(4 - 7 + 6\)

Lets solve it.

\(4 - 7 = -3 -3\)

Next to -3 add x cause we left out the 3x.

Since -3 + 6 = 3, the equation is -3x + 3

Hope this helps!

NOTE: This stat doesn't match with every equation, the only 2 combine part, that means, this stat matches 1 x.

---------------------------

Coefficient Meaning: That a number which is used to multiply a variable.

For example:

4y

Here, y is the variable and 4 is the coefficient.

Here, x is the variable

Therefore, the coefficient of the variable in the given expression is, -3

Answer:

B: -3

Step-by-step explanation:

Answer:

their down payment is 30%

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the price of the apartment is 140,000 dollars

lets find out how much is 1%

140,000/100=1400

42,000/1400=30  

42,000 is 30% of the apt price

49,000/1400=35

49,000 is 35% of the apt price

Are the given functions inverse: A. No.

In Mathematics and Geometry, an inverse function is a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine whether f(x) and g(x) are inverses, we would determine the corresponding composite function of f(x) and g(x) in simplified form as follows;

(fog)(x) = -5[-1/5(x) - 9] + 9

(fog)(x) = x + 45 + 9

(fog)(x) = x + 54

(gof)(x) = -1/5(-5x + 9) - 9

(gof)(x) = x - 9/5 - 9

(gof)(x) = x - 54/5

Since (fog)(x) and (gof)(x) are not equal to x, we can conclude that f(x) and g(x) are not inverses of each other.

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Answer:

0.2

Step-by-step explanation:

43226 and 52568

The Probability that Ginger will eat pizza for lunch every day for next week is 0.2.

Probability is "possibility that deals with the occurrences random event. It values varies from 0 to 1".

According to the question,

Ginger assigns digits 0 and 1 = no Pizza available and also assign digits

2,3,4,5,6,7,8 and 9 = Pizza available.

The table shows the results of the simulation,

08458 this simulation contains digit '0' so there is no pizza.

47165 this simulation contains digit '1' so there is no pizza.

68194 this simulation contains digit '1' so there is no pizza.

88490 this simulation contains digit '0' so there is no pizza.

01841 this simulation contains digits '0 and 1' so there is no pizza.

43226this simulation contains no digits '0 and 1' so there is pizza available.

12924 this simulation contains digit '1' so there is no pizza.

52568 this simulation contains no digits '0 and 1' so there is pizza available.

93039 this simulation contains digit '0' so there is no pizza.

39406this simulation contains digit '0' so there is no pizza.

Total number of simulation = 10.

Formula for Probability = \(\frac{Number of favorable events }{Total number of outcomes}\)

Probability of availability of Pizza = \(\frac{2}{10}\) = \(\frac{1}{5}\) = 0.2.

Hence, the Probability that Ginger will eat pizza for lunch every day for next week is 0.2.

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Answer:

you write the inequality in a hazy way, so i got to solve all the possibilities of it , choose the one u need.

Step-by-step explanation:

\(case \: 1 \\ 2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10 \\ case \: 2 \\ 2x - 15 < - 5 \\ 2x < 10 \\ x < 5 \\ \)

\(case \: 3 \\ 2x - 5 < 5 \\ 2x < 10 \\ x < 5\)

The baby's weight at birth was approximately 7.1 pounds.

Given that

(1, 7.3) and (10, 9.1)

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

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

Using the values (1, 7.3) and (10, 9.1), we can find the slope of the line passing through these two points:

m = (9.1 - 7.3) / (10 - 1) = 0.2

The equation of the line is:

y = mx + b

To find the value of b, we can use one of the given data points

7.3 = (0.2(1) + b

Solving for b, we get:

b = 7.1

So the equation of the line is:

y = 0.2x + 7.1

To find the baby's weight at birth (i.e., when x = 0), we can substitute x = 0 into the equation:

y = 0.2(0) + 7.1

y = 7.1

Therefore, the baby's weight was 1 pounds.

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a) The given function is \($\frac{x^2-2x+2}{(x-1)^2(x+2)}$\). The series of this function is \($\sum_{n=0}^{\infty}(-1)^n(n+1)x^n$\). Therefore, the series is alternating (-1).

b) The sum of the first four nonzero terms of the series is \($-1x^1+2x^2-3x^3+4x^4$.\)

c) The interval of convergence is \((-2, 1)\). This is because the denominator \($(x-1)^2(x+2)$\) has a zero at \($x=-2$\) and a zero at \($x=1$\), and the function is undefined at these two points. Therefore, the interval of convergence is the open interval  \($(-2, 1)$\).

Convergence is the process of two or more different entities coming together and becoming one. In mathematics, it can refer to a sequence converging to a limit, or the process of a function approaching a finite value as the number of trials approaches infinity. In technology, convergence can refer to the combining of different media types into a single medium, such as the combination of audio, video, and text into a multimedia presentation.

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Answer:

B. Birr 750

Step-by-step explanation:

Therefore, 8% of Birr 750 is Birr 60.

Solution:

Note that:

Solving for x.

Option B is correct.

Hoped this helped!

Answer:

x = -7,   y = 5

Step-by-step explanation:

a) x + 9y = 38,   b) 3x + 7y = 14

From a)

x = 38 - 9y ---- (Equation 1)

From b)

{3*(38 - 9y)} + 7y = 14 ----- (From equation 1)

114 - 27y + 7y -14 = 0

100 - 20y = 0

20y = 100

y = 5

From a)

x + (9*5) = 38  (substituting the value of y = 5)

x + 45 = 38

x = 38 - 45

x = -7

Hope, this will help

Answer: 200.8

Step-by-step explanation: i juss subtracted

Answer:

Is there multiple choice to this question?

anyway the answer maybe is: 0

The measure of WY of the rhombus is WY = 5 units

The diagonals of a rhombus are the lines that connect the opposite vertices (corners) in the center of the shape. The diagonals of a rhombus are perpendicular and form four right triangles through their intersection

Area of Rhombus = d₁ x d₂

Area of Rhombus = base x height

Given data ,

Let the rhombus be represented as WXZY

Let the measure of the diagonals of the rhombus be

The measure of the diagonal WZ = 6 units

The measure of the diagonal XY = 8 units

Now , let the center of intersection of diagonals of rhombus be O

And , the measure of WO = 3 units

The measure of OX = 4 units

And , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the measure of WY = √ ( WO )² + ( OX )²

On simplifying , we get

The measure of WY of rhombus = √ ( 16 + 9 )

The measure of WY of rhombus = √25

The measure of WY of rhombus = 5 units

Hence , the measure of WY of the rhombus is 5 units

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Answer:

y=-2x + 5

Step-by-step explanation:

y=mx+b

m=slope

b= y intercept

since on the y line the line intercepts on 5 you replace 5 with the b.

As for the m(slope) when the line is decreasing (going down) its automatically a negative number. and since (0,5)　(1,3) 5-3=2 -2 would be ur slope.

Answer:

64

Step-by-step explanation:

(4*8) (5 -3)

= (32)(2)

= 64

Answer:

RS=5.65

Step-by-step explanation:

Please gimme few minutes