If you have 180 calories of milk in 2 cups, then how many calories of milk would you have in 16 cups?

I need some help.

Answer:

[tex]g(h(x))=−6x−17

[/tex]

Step-by-step explanation:

given:

[tex] g(x) = 15 - 4x \\ h(x) = \frac{3}{2 } x + 8[/tex]

To find g(h(x)) substitute h(x) instead of every x in g(x)

therefore:

[tex]g(h(x)) = 15 - 4( \frac{3}{2} x + 8) \\ [/tex]

simplify

[tex]g(h(x)) = 15 - 6x - 32 \\ g(h(x)) = - 6x - 17[/tex]

The discrete data might consist of number of legs, number of teeth. The continuous data might consist the length of tail, and the height of dog.

The discrete data is a data whose value is obtained by counting and they can be described by an integer value. Those random variables, who take only distinct values, are called discrete random variables.

Consider the provided information; Something that will never change

So, the discrete data might consist of number of legs, number of teeth.

A continuous data is defined as a variable whose value is obtained by measuring.

The continuous data might consist the length of tail, and the height of dog.

The continuous variables are random variables, who take any value from a given continuous interval of real numbers.

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Answer:

71/2 just

Step-by-step explanation:

just like that

ANSWER

Step-by-step explanation:

if x= 6 and y= -4, evaluate: 3x + x/y - y^2

we will just substitute for the values

3(6) + 6/-4 - (-4)²

=18 + 6/-4 - (16)

=18 + 6/-4 - 16

L.C.M=-4

= -72+6-(64)/-4

= -72-64+6/-4

=-136+6/-4

= -130/-4

=32.5 or 32 2/5

I hope I helped

The range of the error will be [3.65,3.75.

The accuracy range or limit where a number is rounded off or truncated is known as the error interval. This range merely depicts the possible range before rounding.

Given that :A number, x, rounded to 1 decimal place is 3.7

The mistake will be half of 0.1, which is[tex]\frac{0.1}{2} = 0.05[/tex], since the number is rounded to the nearest 0.1 unit.

3.7-0.05=3.65 will then be the lower limit of the error interval.

The error interval's upper limit will be 3.7 + 0.05 = 3.75.

The error will be 3.65≤x<3.75 milliseconds.

If the second decimal unit is more than 5, the first decimal unit will be 6, since we are rounding the first decimal unit. Similar to this, the first decimal unit will be 7 if the second decimal unit is less than 5.

The figures below, when rounded, result in 3.7.

3.65 ,3.66,3.67 ,3.68,3.69,3.70,3.71,3.72,3.73,3.74

As a result, the error range will be [3.65,3.75).

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Before the drawbridge starts to open, the horizontal component of the friction force f⃗ is zero (0)

The horizontal component of the friction force is the counter force that must overcome the friction force for a body to slide or move.

When the dancer is standing still on the drawbridge, the only force on the dances is the normal force exerted by the bridge. Thus, the horizontal frictional force acting on the dancer

This is given by:

[tex]f_{horizontal} =0[/tex]

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By understanding the definition of a direct variation model, the constant of variation of the expression y = - (12 / 11) · x is - 12 / 11.

In the statement we find a linear model of the form y = r · x, which represents a linear variation model, that is, a model where the variable x is directly proportional to the variable y and r is the constant of variation.

Graphically speaking, linear variation model represents a line whose intercept is at the origin. A representation of the expression y = - (12 / 11) · x is shown in the image attached below.

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The rate of change for the height of the ice cream is [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²] units per second.

The volume of an ice cream cone (V), in cubic units, is described by the following formula:

V = (1 / 3) · (π · r²) · h                                     (1)

Where:

The rate of change for the height of the cone is derived from differentiating (1) with respect to time:

V' = (1 / 3) · (2π · r) · h · r' + (1 / 3) · (π · r²) · h'

V' = (2π / 3) · h · r' + (π / 3) · r² · h'

h' = [V' - (2π / 3) · h · r'] / [(π / 3) · r²]

Where:

If we know that V' = 10 and r' = 1 / 14, then the rate of change for the height of the cone is:

h' = [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²]

The height of the ice cream cone changes at a rate of [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²] units per second.

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cross multiplying

4/3(y-9/10)=5y(2/10)

expanding the bracket and collecting like terms

4y/3 - 6/5=y

4y/3 - y=6/5

((4y-3y)/3)=6/5

y/3=6/5

y=6/5x3

y=18/5

y=3.6

I hope this will help✨

Answer:

Its C

Step-by-step explanation:

I got it right on USA TEST PREP

Answer:

78m^3

Step-by-step explanation:

basically you have to split it into two rectangles and add the volumes

so think of it like this (first picture)

- looking at the bigger rectangle (blue rectangle) the 6 and the 4 are there as hints to the smaller rectangle so just kind of disregard them

- basically the bottom length is 6 but the top length is 5 and this is because the bottom length includes the other rectangle (smaller/pink rectangle), meaning the extra length from the other rectangle (smaller/pink rectangle) is 1.

- then height is given as 4 and 5. the height of 4 is caused by the line stopping when it meets the pink/smaller rectangle, meaning that the height from the other rectangle (smaller/pink rectangle) is 1.

- so using the correct measurements, the height is 5, the length is 5, and the width is 3 so:

5 • 5 • 3 = 75

~ so as stated above from evaluating the different measurements and how the rectangles “intersect” or meet:

the height is 1, the width is 1, and the length is then given as 3 so:

1 • 1 • 3 = 3

so then 75 + 3 = 78

so the full volume is 78 m^3

hope this helps :)

Answer: The common factors of 14 and 35 are 7, 1, intersecting the two sets above. In the intersection factors of 14 ∩ factors of 35 the greatest element is 7. Therefore, the greatest common factor of 14 and 35 is 7.

Step-by-step explanation:

The rate at which the customers enter the store in minutes per customer is 2 minutes.

Based on the given question the number of customers is 9 so they take 18 minutes to enter. If each customer takes

(18÷9) minutes = 2 minutes.

Then all the customers will be inside the shop.

Fractions: The number of parts of a full portion is known as a fraction.

It is usually best to show an explanation using the easiest fraction. That is called Simplifying, or Decreasing the Fraction.

We call the top number the Numerator, it is the number of parts we have.

We call the bottom number the Denominator, it is the number of parts the total is separated into.

Represented as : [tex]\frac{Numerator}{Denominator}[/tex]

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Answer:

0.1 == -0.1

1/7 == -1/7

10 == -10

-7 == 7

Step-by-step explanation:

I took the test

The opposite of the numbers 0.005, 12, 0, -2 are -0.005, -12, 0, 2 after changing the sign of the number.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The numbers are:

0.005, 12, 0, -2

As we know, from the definition of the number, a number is a mathematical entity that can be used to count, measure, or name things.

The opposite of any number can be obtained by changing the sign of the number.

The opposite of the number 0.005 is -0.005

The opposite of the number 12 is -12

The opposite of the number 0 is 0

The opposite of the number -2 is 2

Thus, the opposite of the numbers 0.005, 12, 0, -2 are -0.005, -12, 0, 2 after changing the sign of the number.

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Answer:

170 strawberries

Step-by-step explanation:

Let strawberries be x, then:

Ann ate 5x, Ben ate 5x, and Cindy ate 7x

7x+30 = 5x+5x

7x+30 = 10x

30 = 3x

10 = x

5x = 50

7x = 70

total: 50+50+70 = 170

The graph of each function in the piecewise function is added as an attachment

The equation of the piecewise function is given as

f(x) = 1/4x - 5  if x < 4

         x + 3 if x ≥ 4

In the above definition of the piecewise function, we have the following functions and the domains

f(x) = 1/4x - 5 at a domain of x < 4

f(x) = x + 3 at a domain of x ≥ 4

Note that:

The domain of the function is the set of input values of the graph

This in other words mean the domain of a function is the set of x values of the graph.

Next, we plot the graph of each function in the piecewise function in their respective domain

See attachment for the graph of each function in the piecewise function,

On the graph, the blue line represents f(x) = 1/4x - 5 while the other line represents f(x) = x + 3

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Possible question

Plot of the piecewise function

f(x) = 1/4x - 5  if x < 4

         x + 3 if x ≥ 4

Answer:

1.5 miles = 241,401.6 centimeters

               = 95,040 inches

1.5 miles = 2,414.016 meters

Step-by-step explanation: 5,280 feet x 12 inches = 63,360 inches

                                              2,640 feet x 12 inches = 31, 680 inches

63,360 + 31,680 = 95,040 inches in 1.5 miles

95,040 x 2.54 centimeters per inch = 241,401.6

241,401.6 centimeters / 100 = 2,414.016 meters

The nth term in the sequence 3,9,15,21 will be 3 + 6(n - 1).

It should be noted that a sequence simply means the order in which a particular thing happens or takes place.

From the information, four term in the sequence are given as 3,9,15,21 and we want to find the nth term. It should be noted that this is an arithmetic sequence.

The formula is illustrated as:

= a + (n - 1)d

where a = first term = 3

common difference = 9 - 3 = 6

The nth term will be:

= 3 + (n - 1)6

= 3 + 6(n - 1).

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Four term in the sequence 3,9,15,21. Find the nth term

Answer:

[tex]y=-\frac{k}{-4+k}; k \neq 4[/tex]

Step-by-step explanation:

2y + k = 6y - ky; solve for y

2y = 6y - ky - k (Subtraction Property of Equality)

2y - (6y - ky) = 6y - ky - k - (6y - ky)  (Subtraction Property of Equality)

-4y + ky = -k (Simplify)

y(-4 + k) = -k (Factor)

[tex]\frac{y(-4+k)}{-4+k}=\frac{-k}{-4+k}: k\neq 4[/tex] (Division Property of Equality)

   [tex]y=-\frac{k}{-4+k}; k \neq 4[/tex] (Simplify)

The value of y is k/ (4- k).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to different addition, subtraction, multiplication, and division arithmetic operations.

Given:

2y + k = 6y - ky

Now, solving for y

2y -6y + ky = -k

-4y + ky= -k

y( k-4) = -k

y = -k/(k -4)

y= k/ (4- k)

Hence, the value of y is k/ (4- k).

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The endpoints of the directed line segment QR are Q(8, 4) and R. (-2, -1).The x-coordinates of P is 6.2 and y-coordinates of P is 1.4.

Given that,

The endpoints of the directed line segment QR are Q(8, 4) and R. (-2, -1).

We have to find the coordinates of the QR line segment aimed at point P along that QP to PR is a 1 to 4 ratio.

QR has the endpoints Q(8, 4) and R. (-2, -1).

Line segment QR divides at point P in ratio 1:4.

Using section formula:

The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.

P(x,y)=[tex](\frac{mx_{2} +nx_{1} }{m+n},\frac{my_{2} +ny_{1} }{m+n},)[/tex]

Where m is 1 and n is 4. x₁=8,y₁=4 and x₂=-2,y₂=-1.

Substitute in the formulae we get,

P(x,y)=((1×-1+4×8)/1+4,(1×-1+4×4/1+4))

P(x,y)=((-1+32)/5,(-1+8)/5)

P(x,y)=(31/5,7/5)

P(x,y)=(6.2, 1.4)

Therefore, the x-coordinates of P is 6.2 and y-coordinates of P is 1.4

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The following data table for two distinct linear functions utilizing identical x values for both functions is displayed:

[tex]\begin{tabular}{|c|c|c|}$\mathrm{x}$ & $\mathrm{y}=2 \mathrm{x}+7$ & $\mathrm{y}=-\mathrm{x}+4$ \\$-3$ & $2(-3)+7=-6+7=1$ & $-(-3)+4=3+4=7$ \\$-2$ & $2(-2)+7=-4+7=3$ & $-(-2)+4=2+4=6$ \\$-1$ & $2(-1)+7=-2+7=5$ & $-(-1)+4=1+4=5$ \\0 & $2(0)+7=0+7=7$ & $-(0)+4=0+4=4$ \\1 & $2(1)+7=2+7=9$ & $-(1)+4=-1+4=3$ \\2 & $2(2)+7=4+7=11$ & $-(2)+4=-2+4=2$ \\3 & $2(3)+7=6+7=13$ & $-(3)+4=-3+4=1$\end{tabular}[/tex]

The table demonstrates that the function y = 2x + 7 and the function y = -x + 4 both have values of 5 for x = -1.

As a result, the two functions' graphs will intersect at (1, 5)

First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. To find the y value, evaluate the equation (middle column). Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.

you replace the x for a number:

Table 1 (F(X)=2X+5)                                 Table 2 (H(X)=3X+2)

X=1----->Y=2+5=7                                     X=1------>Y=3·1+2=5

X=2---->Y=2·2+5=9                                  X=2----->Y=3·2+2=8

X=3---->Y=3·3+5=11                                  X=3----->Y=3·3+2=11

With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)

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The coordinates of the vertices of A'B'C' for the reflection are (7,1),(5,-7), and (-2,1) respectively.

A reflection is a transformation that uses a line to reflect a figure, much like a mirror. The mirror line is also known as the line of reflection.

The given coordinates are A(7,-5), B(5,3), and C(-2,-5).

The line of reflection is y = -2.

We have to determine the coordinates of the vertices of A'B'C' for the reflection.

In this case, the x-coordinate will remain the same and the y-coordinate will vary as the points are reflected across the line y = -2.

From the line of reflection i.e.y = -2, point A(7,-5) is located down at a distance of 3 units so its reflection A' is 3 units up of line y = -2 at (7,1).

From the line of reflection i.e.y = -2, point B(5, 3) is located up at a distance of 5 units so its reflection B' is 5 units down of line y = -2 at (5,-7).

From the line of reflection i.e.y = -2, point C(-2,-5) is located down at a distance of 3 units so its reflection C' is 3 units up of line y = -2 at (-2,1).

Hence, the coordinates of the vertices of A'B'C' for the reflection are (7,1),(5,-7), and (-2,1) respectively.

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Answer:

A 2√6

Step-by-step explanation:

- Split the value under root into divisions of factors of 24

[tex]{ \sf{ \sqrt{24} = \sqrt{6 \times 4} }} \\ \\ { \sf{ \sqrt{24} = \sqrt{6} \times \sqrt{4} }} \\ \\ { \sf{ \sqrt{24} = \sqrt{6} \times 2 }} \\ \\ { \boxed{ \sf{ \: \sqrt{24} = 2 \sqrt{6} }}}[/tex]

Answer:

Step-by-step explanation:

25percent of what number is 18

18 : 25 = 0.72

0.72 * 100 =

72%

18 * 4 =

72%

Answer:

Can I see the graph, please?

Step-by-step explanation:

Answer:he graph shows the relationship between the number of miles she drives, y, and the number of gallons of gasoline in her car's tank, x.

Step-by-step explanation:

The correct answer in the standard form or notation of the given number is 2.1105 x 10^6.

How to write the standard notation?

In mathematics, the standard form or the standard notation of a number can be written as the power of ten by putting the decimal in the calculated number. And these numbers can be written in certain rules.

According to the question, to convert the decimal number to standard form by removing the decimal from the given number.

The required expression can be written as"

2.01 x 105 = 201 x 100 x 105 = 21105 x 10²

Hence, the correct answer in the standard form or notation of the given number is 21105 x 10².

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Answer:

3 inches up per foot across

Step-by-step explanation:

rate of change = difference of y / difference of x

R = (18 - 12) / ( 6-4) = 6 / 2 = 3 inch / foot

Answer:

I will answer this asap give me a few mins

Step-by-step explanation:

nun yet

Answer:

x = c/2 + d

Step-by-step explanation:

hey you man what are you going here go to there

Answer:

x=20 degrees

I did what your teacher did down there; I added all the exterior angles and set them equal to 360°

Just combined the like terms and got the answer!

*3x + 4x + 3x = 10x

12 - 10 - 2 = 0

90 + 70 = 160

Put them "as an equation": 10x + 160 = 360

Get rid of what's surrounding the x, so subtract 160 from both sides.

10x = 200

To get rid of whats beside the x *again*, divided 10x by 10 on both sides.

x = 20

The quantity [tex](6\sqrt{x^5})^7[/tex] is transformed, into an expression with a rational exponent.

[tex]x^5 * 7 = 35[/tex]

This is further explained below.

Exponents are said to be rational if they are able to be represented in the form of p/q, where the value of q is less than 0.

The notation for rational exponents is often written as xm/n, where x represents the base (a positive integer) and m/n is the rational exponent. Exponents may also be represented as xmn=nxm x m n = x m n.

This is another way to express rational exponents.

Generally, the equation is mathematically given as

[tex](6\sqrt{x^5})^7[/tex]

By bearing this in mind, we can make this process easier.

[tex](a^m)^n = a^m * n[/tex]

Therefore

[tex]x^5 * 7 = 35[/tex]

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