can triangles have sides with the given lengths?

3ft, 4ft ,9ft

Answer:

[tex] \sf \large \: \frac{ - 263}{4} [/tex]

Step-by-step explanation:

5(9/12−14)+0.5

=5(3/4−14)+0.5

=5(−53/4)+0.5

=−265/4+0.5

=−263/4

We can actually deduce here that the biggest advantage of correlational research is: The use of important variables in a real-world setting.

A correlational research is actually known to be the research that investigates relationships between two variables or more. It does this without the researcher trying to manipulate or control any of the variables.

Correlational research is known to be a non-experimental type of quantitative research. In this research, the researcher assesses the statistical relationship that exists between the variables.

Learn more about correlational research on https://brainly.com/question/5322469

#SPJ1

Answer: 16

Step-by-step explanation:

[tex]n^2-(n+a)(n-a)=\\n^2-(n^2-a^2)=\\n^2-n^2+a^2=\\a^2[/tex]

[tex]326541829^2-326541833*326541825=\\32654129^2-(32654129+4)(326541129-4)=\\4^2=\\4*4=\\16[/tex]

The range of the average cost function of a cell phone that has an initial and monthly costs $400 and $50 is r:(50, 400)

Initial price for the cell phone = $400

Charges per month after purchase = $50

The rational function representing the average monthly cost = c(t)

Required; The range of the average monthly cost function, c(t)

Solution:

The total cost of owning the cell phone, C, is therefore;

Where;

∆t = The number of months after purchase

The average monthly cost is therefore;

[tex]c(t) = \frac{C}{ \Delta t} [/tex]

At ∆t ≈ 0, we have;

C ≈ 400

The cost for the month at ∆t ≈ 0, is therefore, c(t) = $400

At ∆t ≈ ∞, we have;

Therefore;

[tex] \lim\limits_{∆t→∞} c(t) = \frac{400+ 50× ∆t}{ ∆t} ≈ 50[/tex]

Which gives;

The range of c(t) is (50, 400)

The correct option is therefore;

Learn more about the domain and range of a function here:

https://brainly.com/question/28279808

#SPJ1

35, ∠2 and ∠4 are alternate interior angles, so m∠2 = m∠4.

What is alternate interior angles?

Given

           m∠4=35

From the image given, angle 2 and angle 4 lie on opposite side of the line that intercepts the two parallel lines, AB and CD. Angle 2 and angle 4 both lie within the parallel lines.

Therefore, ∠2 and ∠4  are alternate interior angles.

Thus,

m ∠2 = m∠4 (alternate interior angles theorem)

since m∠4 = 35°

therefore m∠2 = 35°

Learn more about alternate interior angles

brainly.com/question/2656732

#SPJ9

The required answers are,

a. The terms - 5x, 27, 9, -7

b. The coefficients - 5 and 2

c. The constants - 9 and -7

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is 5x + 2y + 9 − 7

Now the terms in the equation are 5x, 27, 9, -7

Therefore,

Terms = 5x, 27, 9, -7

Now coefficient is a number or any symbol representing a constant value that is multiplied by the variable.

So the variables in the given expressions are x and y.

And their multiples are 5 and 2, 5 is in multiplication of x and 2 is in multiplication of y.

Thus, coefficients are, 5 and 2

or, Coefficients = 5 and 2

Now th constants are the numbers that are not in multiplication with the variable. Thus, their value remains unchanged.

So in the given expression 9 and -7 are the constants that are not in multiplication with the variables.

Thus,

Constants =  9 and -7

Hence we get,

Terms = 5x, 27, 9, -7

Coefficients = 5 and 2

Constants =  9 and -7

Thus, the required answers are,

a. The terms -5x, 27, 9, -7

b. The coefficients - 5 and 2

c. The constants - 9 and -7

To learn more about expressions :

brainly.com/question/11568837

#SPJ1

Answer:

-3

Step-by-step explanation:

Taking out 3 would give you a negative number

Answer:750 milliliters

Step-by-step explanation:

2.5 liters=2500 milli

5*350=1750 milli

2000-1750=750 milli

========================================================

Explanation:

15 - 2.5x is the same as 15 + (-2.5)x

Then we can swap the terms to get -2.5x+15

Therefore, the original equation is the same as -2.5x+15 = 40

To solve this equation, we follow PEMDAS in reverse. So instead of starting with the "P", we start with the "S". There's no subtraction operations to undo, so we move onto the "A". There is an additional operation to undo, which is the +15

To undo the +15, we subtract 15 from both sides

-2.5x+15 = 40

-2.5x+15-15 = 40-15

-2.5x = 25

The next step after this would be to divide both sides by -2.5 to undo the multiplication. The -2.5x means "-2.5 times x".

Answer:

2x^2 + 8x

Step-by-step explanation:

Area of triangle: base x height / 2

So: 2x(2x+8)/2

We cancel 2 so:

x(2x+8)

then = 2x^2 + 8x

Answer: Yes it is rational number because it has a terminating decimal expansion

Step-by-step explanation:

Define Rational number:

rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

Yes it is rational number because it has a terminating decimal expansion.

7/2=3.5

Define Integer:

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14.

all integers between -7 and 2 in increasing order are:

-6,-5,-4,-3,-2,-1,0 and 1.

since, it has to be in increasing order -6 will come first and 1 at the last.

Learn about more information https://brainly.in/question/20604983

#SPJ9

Answer:

it's true, not false.

Step-by-step explanation:

it's true, not false.

We're given:

The first term is 1. It appears that, to get each consecutive term, we have to multiply the previous term by -3.

Therefore, to get each the next two terms, we have to multiply the previous term by -3.

Therefore, to get each the next two terms, we have to multiply the previous term by -3.

Answer:

Method 1 is distribution of the -1/2 to 5x and -9. Method 2 is simplification by multiplying -1/2 to both sides of the equation.

Step-by-step explanation:

Method 1:                                   Method 2:

[tex]-\frac{1}{2} (5x-9)=17[/tex]                         [tex]-\frac{1}{2} (5x-9)=17[/tex]

[tex]-\frac{1}{2}[/tex](5x-9)=17                                [tex]-\frac{1}{2}[/tex](5x-9)=17                                

[tex]-\frac{1}{2}[/tex]*5x-([tex]-\frac{1}{2}[/tex]*9)=17                         [tex]-\frac{1}{2}[/tex]*(-2)(5x-9)=17*(-2)  

[tex]-\frac{5}{2}[/tex]x+([tex]\frac{1}{2}[/tex]*9)=17                               5x-9=-34

[tex]-\frac{5}{2}[/tex]x+9/2=17                                5x-9+9=-34+9

([tex]-\frac{5}{2}[/tex]x+9/2=17)*2                           5x=-25

-5x+9=34                                    5x/5=-25/5

-5x+9-9=34-9                              x=-5

-5x=25

-5x/(-5)=25/(-5)

x=-5

Answer:

6.0 ounces

Step-by-step explanation:

Answer:

$ 33.33

Step-by-step explanation:

can you make me brainliest pls

Answer:

I may have mixed up the meaning of the variables...

Step-by-step explanation:

Every additional 1 card sold, price decrease $0.05 Known point, (6, 280). x is price, p is ... number of cards sold.

Answer: f(1)=21

Step-by-step explanation:

f(x-1)=x³+3x²-3x+7

f(x-1)=(x-1+1)³+3(x-1+1)²-3(x-1+1)+7

f(1)=(1+1)³+3(1+1)²-3(1+1)+7

f(1)=(2)³+3(2)²-3(2)+7

f(1)=8+3(4)-6+7

f(1)=8+12+1

f(1)=21

Answer: the answer would be all real numbers

Step-by-step explanation:

I got it right on the test

Answer:

2

Step-by-step explanation:

MAD stands for mean absolute deviation.
The larger the MAD, the more spread out the data set is.

This means that Jason’s grades must vary more.

The equivalent choice of √7x √x+2 is x√7 + 2√7x

The product expression is given as:

√7x √x+2

Rewrite as:

√7x * (√x + 2)

Expand the bracket

√7x^2 + 2√7x

Take the square root of x^2

So, we have

x√7 + 2√7x

Hence, the equivalent choice of √7x √x+2 is x√7 + 2√7x

Read more about equivalent expressions at

https://brainly.com/question/2972832

#SPJ1

The two representations which are considered to be only partial representations include the following: D. the graph and the table.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In this scenario, the following are complete representations of the same data because they are valid for all possible x values:

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Answer:  x = 12

Step-by-step explanation:

1) Convert mixed numbers into improper fractions: [tex]21\frac{2}{3} =\frac{21*3+2}{3} =\frac{65}{3}[/tex]

New equation written as: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65}{3}+\frac{7}{3}[/tex]

2) [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65+7}{3}[/tex]

3) Add the numbers 65 + 7 = 72: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{72}{3}[/tex]

4) Divide 72/3 = 24: [tex]\frac{5}{3}x+\frac{1}{3}x=24[/tex]

5) Multiply both sides by 3. Note: * = multiply: [tex]\frac{5}{3}x*3+\frac{1}{3}x*3=24*3[/tex]

6) Simplify: 6x = 72

7) Divide both sides by 6: [tex]\frac{6x}{6}=\frac{72}{6}[/tex]

x = 12

Answer:

1/7

Step-by-step explanation:

y = -7x - 1 so slope is -7

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -7 is 1/7

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-7}x-1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

thus a line perpendicular to that slope will have a slope of

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-7}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-7}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-7}\implies {\LARGE \begin{array}{llll} \cfrac{1}{7} \end{array}}}}[/tex]

Orio and Ted buy an equal number of comic books every month. Orio has 9 more comic books than Ted.

What are a definition and an example of a linear equation?

The following equation shows the number of comic books, y, that Orio has after x months:

y = 2x + 15

Using the equation y=mx+b to find Orio's number of comic books, we can plug 2 months to substitute for the variable x.

y = 2(2) + 15

y = 4+15,

y = 19.

We know Ted has 10 comics after 2 months from the graph.

19-10= 9

Therefore, Orio has 9 more comic books than Ted.

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

The complete question is -

Orio and Ted buy an equal number of comic books every month. The following equation shows the number of comic books, y, that Orio has after x months: y = 2x + 15 The following graph shows the number of comic books, y, that Ted has after x months: Graph shows Months on x axis and Number of Comic Books on y axis. The scale on x axis is shown from 0 to 5 at increments of 1. The scale on y axis is shown from 0 to 14 at increments of 2. The title of the graph is Teds Comic Books. A straight line is shown which joins the ordered pair 0, 6 and 4, 14 After 2 months, how many more comic books does Orio have than Ted?

The lake's current water is dropped ( 55 / 3 ) feet below the normal water level.

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.

Let x be the normal water level of the lake.

At the beginning of the fall, the level of water of the lake is [tex]11\frac{1}{3}[/tex] feet below the water level.

So, the change in water level [tex]-11\frac{1}{3}[/tex].

Then, the water level of the lake dropped [tex]7\frac{2}{3}[/tex] feet after the drought.

Again, the change in water level will be [tex]-7\frac{2}{3}[/tex].

Hence, the total change in water level will be:

[tex]=-11\frac{1}{3}-7\frac{2}{3}[/tex]

= ( - 33 + 1 ) / 3 - ( 21 + 2 ) / 3

= ( - 32 / 3 ) - ( 23 / 3 )

= ( - 55 / 3 )

Therefore, the lake's water level dropped ( 55 / 3 ) feet below the normal water level.

Learn more about feet here:

https://brainly.com/question/28315767

#SPJ9