A cardboard box, which has the shape of a parallelepiped, has the following sizes: 35 cm by 27 cm
(rectangular base). The height of the box is - 27 cm. Calculate the volume of the box.

Answer:

[tex]f(x) = -x^2 - 2x + 8[/tex]

y-intercept is when x = 0:

[tex]\implies f(0) = -(0)^2 - 2(0) + 8=8[/tex]

So the y-intercept is (0, 8)

x-intercepts are when f(x) = 0:

[tex]\implies f(x)=0[/tex]

[tex]\implies -x^2 - 2x + 8=0[/tex]

[tex]\implies x^2 + 2x - 8=0[/tex]

[tex]\implies x^2 - 2x + 4x - 8=0[/tex]

[tex]\implies x(x - 2) + 4(x-2)=0[/tex]

[tex]\implies (x+4)(x - 2)=0[/tex]

Therefore:

[tex]\implies (x+4)=0 \implies x=-4[/tex]

[tex]\implies (x-2)=0 \implies x=2[/tex]

So the x-intercepts are (-4, 0) and (2, 0)

The vertex is the turning point of the parabola.  The x-value of the vertex is the x-value between the 2 zeros (x-intercepts).

Therefore, the x-value of the vertex is [tex]\sf \dfrac{x_1+x_2}{2}=\dfrac{-4+2}{2}=-1[/tex]

Substituting x = -1 into the function:

[tex]\implies f(-1) = -(-1)^2 - 2(-1) + 8=9[/tex]

So the vertex is (-1, 9)

The domain is the input values, so x = all real numbers.

The range is the output values, so the range is [tex]f(x)\leq 9[/tex]

Therefore, (-4, 0), (-1, 9), (0, 8) and (2, 0) are solutions of the function, HOWEVER they are not ALL the solutions.

All solutions of the function are:

[tex](x, -x^2 - 2x + 8)[/tex] for all real numbers of x

Answer:

c

Step-by-step explanation:

c

Answer:

its A!!!

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary.

A statistical question is one that can be answered by collecting data and where there will be variability in that data

The only one that can have a variety of answers is the last one.

A, B, and C are countable and do Not Vary or change in amount they remain the same. There will always be 12 months in a year. 3 wheels on a tricycle and the amount of stripes in the flag will not change. If the question ask something that can change or vary it is a Statistical question. Like for example "How many minutes do 6th grade students typically spend on homework each week?" and  “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

A Good Statistical Question Produces Data with Variability

A statistical question is one that requires the collection of data with expected variability in it. The data collected changes in value. You can quantify them. If the data could not be measured, then you have to think it over again.

Hello-

Here is the way that I learned to multiply decimals. First, remove the decimal points.

2.37 X 1.6

237 X 16

Then you multiply the numbers.

237 X 16 = 3792

Now, we move the decimal point three places to the left on our answer.

3.792

3.792 is our answer.

A quadratic model would be the most appropriate model for the given data set.

A quadratic model can be defined as a mathematical model which represents a quadratic equation with a single variable of degree 2.

Aso, a quadratic model is mainly symmetrical because the relationship between its variables when plotted on a graph forms a parabola.

In this scenario, the value of the graph at y(1) is equal to y(2) and y(0) is approximately equal to y(3) as shown in the image attached below, which simply means it is symmetrical about this axis.

Read more on quadratic equation here: brainly.com/question/1214333

#SPJ1

By dividing the figure into a rectangular prism and a pyramid, we will see that the total volume is 2,400 ft^3

We can divide the given figure into two simpler ones.

A rectangular prism of 20 ft by 10 ft by 10 ft, whose volume is the product of these dimensions:

V = 20ft*10ft*10ft = 2,000 ft^3

And a pyramid of 4 sides, with a height of 6ft and a base of 20ft by 10ft, and we know that the volume of the pyramid is one-third of the product between the base and the height.

V' = (1/3)*6ft*(20ft*10ft) = 400ft^3

Then the total volume of the given figure is:

volume = V + V' = 2,000ft^3 + 400ft^3 = 2,400 ft^3

If you want to learn more about volumes, you can read:

https://brainly.com/question/1972490

Answer:

x is equal to -34/16

Step-by-step explanation:

Hey there!

In order to solve for x, we need to first simplify everything

After simplifying, it will look like this:

[tex](4x^2+14x+16)-7x+14=4x^2-4-9x[/tex]

Now you can simplify by combining like terms

[tex]4x^2+7x+30=4x^2-9x-4[/tex]

You can cross out [tex]4x^2[/tex] from both sides and then simplify even more by again combining like terms

[tex]16x+34=0\\16x=-34\\x=-34/16[/tex]

So x is equal to -34/16

To solve the given equation, let's simplify and expand both sides:

[tex]\displaystyle\sf (2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)-9x[/tex]

Expanding the brackets:

[tex]\displaystyle\sf (4x^{2}+13x+6)-7x+14=4(x^{2}-1)-9x[/tex]

Simplifying further:

[tex]\displaystyle\sf 4x^{2}+13x+6-7x+14=4x^{2}-4-9x[/tex]

Combining like terms:

[tex]\displaystyle\sf 4x^{2}+6x+20=4x^{2}-9x-4[/tex]

Subtracting [tex]\displaystyle\sf 4x^{2}[/tex] from both sides:

[tex]\displaystyle\sf 6x+20=-9x-4[/tex]

Bringing all the variables to one side and the constants to the other side:

[tex]\displaystyle\sf 6x+9x=-4-20[/tex]

[tex]\displaystyle\sf 15x=-24[/tex]

Dividing both sides by [tex]\displaystyle\sf 15[/tex] to solve for [tex]\displaystyle\sf x[/tex]:

[tex]\displaystyle\sf x=-\frac{24}{15}[/tex]

Simplifying the fraction:

[tex]\displaystyle\sf x=-\frac{8}{5}[/tex]

Therefore, the solution to the equation is [tex]\displaystyle\sf x=-\frac{8}{5}[/tex].

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:

i hope it helped you

Step-by-step explanation:

please check it out thanks

Answer:

9

Step-by-step explanation:

I hope that helps...

Answer:

The missing value is 6a

Step-by-step explanation:

Given:

[tex]\displaystyle \large{A(-3a,b)}\\\displaystyle \large{B(3a,b)}[/tex]

Find:

Missing Value

Distance Formula:

[tex]\displaystyle \large{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Determine:

[tex]\displaystyle \large{(x_2,y_2)=(3a,b)}\\\displaystyle \large{(x_1,y_1)=(-3a,b)}[/tex]

Input given information above in the formula:

[tex]\displaystyle \large{AB=\sqrt{(3a-(-3a))^2+(b-b)^2}}\\\displaystyle \large{AB=\sqrt{(3a+3a)^2+(0)^2}}\\\displaystyle \large{AB=\sqrt{(6a)^2}}\\\displaystyle \large{AB=6a}[/tex]

The length is 6a but since we want to find the value in the square root then the answer is still 6a

Answer:

9 4/12

Step-by-step explanation:

Just add the mixed numbers 4 + 5 = 9

Add the fraction numerators 1 +3 = 4

*Since the denominator is the same, we just add the numerators

9 4/12

Answer:

as decimal 9.33333

Step-by-step explanation:

4 1/12 + 5 3/12 = 28/3 = 9 1/3

Answer:

15/169

Step-by-step explanation:

There are 52 cards in a standard deck.  Of those 52 cards, 12 are face cards and 20 are even numbered.  To find the probabily in this situation, we multiply 12/52 by 20/52.  This gives us 240/2704.  This can be reduced to 15/169.

Answer:

the answer to your question is -27

-27

Hope it helps.

Do comment if you have any query.

Answer:

The answer is 35 degrees

Step-by-step explanation:

Subtract 105 degrees and 40 degrees from 180 degrees

So just 180 - 105 - 40 =35

Answer:

35 degrees

Step-by-step explanation:

Answer:

The graph of a linear equation is a straight line.  The "solution" to a system of two linear equations is the point where the two lines cross.  If the two lines are parallel, they never cross; hence parallel lines have no solution.  Two lines are parallel if they have the same slope (the m value in y = mx+b).  One of your equations is y = -2x + (you left the y-intercept out).  The slope is -2.  So any line with a slope of m = -2 will be parallel to this line and will not cross it.  The second line also needs a different value of b, the y-intercept.  Otherwise it is the same line and every point is a solution.  So if your equation is:

y = -2x + 1

Then any equation of the form y = -2x + b, b≠1 will create a system with no solution.  Hence the values of m and b are m = -2, b ≠ 1.

Answer:

Many newspaper reporters ignored the success of Black players and wrongly judged their actions

Step-by-step explanation:

its correct i swear its the right answer i bet you 100 brainly coins

Answer:

angle S = 61

Step-by-step explanation:

triangles angles should all add up to 180.

so, if you do 68+51 it should equal 119

then you will do 180-119 which gives you 61.

Answer:

i believe the answer is 61

Step-by-step explanation:

I added the current angles together to get 119 and then subtracted 180 from it and got 61.

Answer:15h

Step-by-step explanation: because 8m+7m = 15h and the side the H is on is way bigger than the other sides so thats how you know your supposed to add.

Answer:

21.43

Step-by-step explanation:

Turn 7 percent to a decimal: 0.07

8800 × 0.07 = 616

13,200÷616=21.4285 etc

Round two decimal places

21.43

Answer:

[tex](6\times 4)^3 = 6^3 \times 4^3[/tex]

Step-by-step explanation:

Answer:

the most closest answer is D because the formula is 3.14 x radius² x height

Step-by-step explanation:

if its right can I have brainliest

Answer:

440 more tshirtS

Step-by-step explanation:

because if you do 70x4=280 then 20x4=80 280+80=360 800-360=440

70×4=280+20×4-800

The number of handshake that took place is 28.

In any situation where order of an outcome does not matter, mathematical combination (C) are use calculate the total outcomes of an event.

8 people are to shake each other once. The concept to be use to derive the number of hands that took place is Combination.

The formulae of Combination for this Scenario is n(n-1)/2n(n−1)/2 .

The number of people (n) is 8.

\begin{gathered}Total handshake = n(n-1)/2\\Total handshake = 8 * (8-1)/2\\Total handshake = 8 * 7/2\\Total handshake = 56/2\\Total handshake = 28\end{gathered}Totalhandshake=n(n−1)/2Totalhandshake=8∗(8−1)/2Totalhandshake=8∗7/2Totalhandshake=56/2Totalhandshake=28

In conclusion, the number of handshake that took place is 28.

Answer:

28

Step-by-step explanation:
3 people
A B C
AB
AC
BC
3 total

4 people
A B C D
AB
AC
AD
BC
BD
CD
6 total

this can be modeled with
n*(n - 1)/2
8*(8 - 1)/2
8*3.5
28

Answer:

C. -3/7

Step-by-step explanation:

Irrational numbers: cannot be written as a fraction

Rational numbers: can be written as a fraction

The only option that contains a fraction, is C

Hope this helps!

Option C

Hope it helps.

Do comment if you have any query.

Answer:

Bob

Step-by-step explanation:

Answer:

..............................

Answer:

I can help!! answer in image

Step-by-step explanation:

Have a great day sir

Answer:

314.00+200.96+113.04+78.50+63.59+38.47+28.26+3.14+.79

=840.75

Answer:

Directly proportional

Step-by-step explanation: