The right rectangular prism is made up of 12 cubes. Each cube has an edge length of
12 cubic inches.

Answer:

y = -2(x + 1)^2 + 8

Step-by-step explanation:

The equation of a parabola can be written in the form;

y = a(x-h)^2 + k

where a is the multiplier (h,k) is the vertex

so h = -1 and k = 8

Plug in these values

y = a(x + 1)^2 + 8

So to get the value of a, we use the point where the parabola passes through which is the point (1,0)

Simply substitute the values of x and y

0 = a(1 + 1)^2 + 8

0 = a(2)^2 + 8

-8 = 4a

a = -8/4

a = -2

So therefore the equation of the parabola is ;

y = -2(x + 1)^2 + 8

The required equation of parabola with given vertex and point of passing is [tex]y=-2(x+1)^{2}+8[/tex].

Given data:

The vertex of parabola is, (-1, 8).

The vertex is passing through (1, 0).

We know that standard equation parabola is,

[tex]y=a(x-h)^{2}+k[/tex]

Here, a is any multiplier, h and k are the vertices.

From the given problem,

h = -1

k = 8

So substituting the values as,

[tex]y=a(x-(-1))^{2}+8\\y=a(x+1)^{2}+8[/tex]..............................................(1)

To obtain the value of a, we use the point where the parabola passes through which is the point (1,0). Here, x = 1 and y =0.

So,

[tex]0=a(1+1)^{2}+8\\\\a = -2[/tex]

Substitute the value of a in equation (1) as,

[tex]y=(-2)(x+1)^{2}+8\\\\y=-2(x+1)^{2}+8[/tex]

Thus, the required equation of parabola is  [tex]y=-2(x+1)^{2}+8[/tex].

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Answer:true

Step-by-step explanation:

Answer:

192000 J

Step-by-step explanation:

k = 1/2 mv²

48000 = 1/2 x m x (20)²

48000 = 200m

m = 240 kg

new k

k = 1/2 x 240 x 40²

k = 192000 J

Answer:

[tex]36.25[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the cost of 5 bags of bulk cereal.

3 is to $21.75 as 5 is to [tex]x[/tex], this translates to the following

[tex]\frac{3}{21.75}=\frac{5}{x}[/tex]

Solving for [tex]x[/tex], we get [tex]x=36.25[/tex]

Answer:

5 bags of bulk cereal cost $36.24

Step-by-step explanation:

Answer:

1.) a- 9,00

b-43,000

d-8,000

e-41,000

g-7,000

h-56,000

j-16,000

Step-by-step explanation:

2.)

a-5

b-17

c-21

Answer:

1)

a. 9,000 bytes

b. 43,000 bytes

c. 9,600 bytes

d. 8,000 kilobytes

e. 41,000 kilobytes          f. 7,300 kilobytes

g. 7,000 MB                     h. 56,000 MB

i. 2,500 MB                       j. 16,000,000 Bytes

2)

a. 5

b. 17

c. 21

let the other angle be x degree

bigger angle = x +36°

According to the question,

x+36° + x° = 180°

=> 2x = 180–36

=> x = 144/2

=> x = 72°

Measure of the bigger angle = x + 36

= 72° + 36°

= 108°

Answer:

A. Martin was faster

Step-by-step explanation:

If you look at the graph, you can see that Martin is going faster.

For example: When George is at 2 weeks, he is almost at 3 kg. When Martin is at 2 weeks, he is at 4 kg exactly.

Brainliest?

A(1,0)

B(0,-3)

C(-6,5)

D(-3,-5)

E(-1,4)

[tex](\stackrel{a}{-35}~~,~~\stackrel{b}{-12})\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-35)^2+(-12)^2}\implies c=\sqrt{1225+144}\implies c=\sqrt{1369} \\\\\\ \underline{c=37}~\hspace{10em}sin(\theta )=\cfrac{\stackrel{opposite}{-12}}{\underset{hypotenuse}{37}}[/tex]

the sum of two complementary angles is 90°

so 28 + ? = 90

? = 62°

here'

complementry angle means those whose sum is 90

here one angle is given so,

another angle =90-28

that is 72.ans

Answer:

  4√14

Step-by-step explanation:

You simplify a radical by removing squares from under it.

  [tex]\sqrt{224}=\sqrt{16\cdot14}=\sqrt{4^2\cdot 14}=\boxed{4\sqrt{14}}[/tex]

Answer:

car

Step-by-step explanation:

Answer:

Step-by-step explanation:

for every 10c there is 30c. for every 20c there is 125c.

Answer:

Lee's flight would take 3.5 hours.

Step-by-step explanation:

1400 ÷ 400 = 3.5

Answer:

8

Step-by-step explanation:

x = -2

the y to (-2,y) is 8

Answer:

When and why do people engage in different forms of proactive behavior at work? We propose that as a result of a process of trait activation, employees with different types of self-construal engage in distinct forms of proactive behavior if they work in environments consistent with their self-construals. In an experimental Study 1 (n = 61), we examined the effect of self-construals on proactivity and found that people primed with interdependent self-construals engaged in more work unit–oriented proactive behavior when job interdependence was also manipulated. Priming independent self-construals did not enhance career-oriented proactive behavior, even when we manipulated job autonomy. In a field Study 2 (n = 205), we found that employees with interdependent self-construals working in jobs with high interdependence reported higher work unit commitment and higher work unit–oriented proactive behavior compared to employees in low interdependent jobs. Employees with independent self-construals working in jobs with high autonomy also exhibited stronger career commitment and more career-oriented proactive behavior than did those in jobs with low autonomy. This research offers a theoretical framework to explain how dispositional and situational factors interactively shape people’s engagement in different forms of proactive behavior.

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

bc i just this it is

The area of the shape is the amount of space on the shape

Using the assumed parameters, the area of the shape is 25 square units

The question is incomplete, as the shape is not given.

Assume the shape is a trapezoid, the area of the shape would be:

A = 0.5 * (sum of parallels sides) * height

Using the assumed values, we have:

Area = 0.5 * (12 + 13) * 2

Evaluate the product

Area = 25

Using the assumed values, the area of the shape is 25 square units

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Answer:

54

Step-by-step explanation:

The measure of center best represents the data set is Mean or Median.

Given

Data Set Best Measure of Center {27, 29, 26, 28, 25}.

The mean is the average of a set of data.

The mean is found by finding the sum of the data and then dividing the sum by the number of data.

The mean of the given data set is;

[tex]\rm Mean = \dfrac{27+29+26+28+25}{5}\\\\Mean =\dfrac{135}{5}\\\\Mean =27[/tex]

Arranging the data set in the ascending order

{25, 26, 27, 28, 29}

The median is defined as the middle value of the given data set.

The median of the data set is 27.

Hence, the measure of center best represents the data set is Mean or Median.

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Answer:

Step-by-step explanation:

1/3 p, 9,9 are in the geometric sequence

9/ ( 1 1/3) = 27

3^3 = 27

So -- p = 1/3 x 3 = 1

q= 1 x 3 = 3

3 x 3=9

Answer:

y=3x-2

Step-by-step explanation:

For this problem, you can use the point-slope formula: y-y1=m(x-x1), with x1 and y1 being from the given coordinate, and m being the slope (which is 3 that can be seen in the equation). Since we're finding a line that is parallel to this line, the slopes of both equations are the same.

y-(1)=3(x-1)

y-1=3x-3

y=3x-2

Check:

(1)=3(1)-2

1=3-2

1=1

[tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

What is Parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

According to question, we have to write an equation of a line that is parallel to [tex]y = 3x - 9[/tex]  and passes through the point [tex](1, 1)[/tex]

Since, the line passes through [tex](1,1)[/tex] and have slope[tex]=3[/tex]

So, [tex]y-(1)=3(x-1)[/tex]

⇒      [tex]y-1=3x-3[/tex]

⇒            [tex]y=3x-2[/tex]

Hence, we can conclude that [tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

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#SPJ2

En total, durante los últimos meses la familia de Manuel ha consumido 792 kilos de productos de primera necesidad.

Arroz: 17+13+18= 48 kg

Fideos: 12+27+30 = 69 kg

Harina: 26+56+50= 132 kg

Aceite: 6+24+30= 60 kg

Avena: 8+16+20= 44 kg

Papa: 32+48+48= 128 kg

Frejol: 12+20+27= 59 kg

Alverja: 16+24+26= 66 kg

Pollo: 12+12+12= 36 kg

Carne de res: 8+10+10= 28 kg

Mazamorra: 8+25+28= 61 kg

Leche: 13+24+24=61 kg

48+69+132+60+44+128+59+66+36+28+61+61= 792 kilos

Nota: Esta pregunta está incompleta, a continuación se adjunta la parte faltante.

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Answer:

[0,9]

Step-by-step explanation:

The domain is the first set of the ordered pair. When finding the domain you are supposed to find which x value it starts from to where it ends. The x value starts from 0 and ends and the 9th unit on the x-axis which would give us 0,9 now since both points are closed you would use these symbols [ ] to show that it is closed meaning the answer would be [0,9]

Note:

I'm sorry if this is wrong but this is what I believe the answer is.

Answer:

Your answer should be 4:9

Step-by-step explanation:

Good luck.

The mean measurement is the average value of the leaves

The possible measurement of the 6th leaf is 13.3

The dataset is given as:

14.2, 13.8, 12.6, 13.4 and 11.5

Sort the data elements

11.5, 12.6, 13.4, 13.8 and 14.2

Calculate the mean

[tex]\bar x = \frac{11.5 + 12.6 + 13.4 + 13.8 + 14.2}{5}[/tex]

[tex]\bar x = \frac{65.5}{5}[/tex]

[tex]\bar x = 13.1[/tex]

So the mean is 13.1 and the median is 13.4

For the mean to increase, the 6th dataset must be greater than 13.1.

For the median to decrease, the 6th dataset must be less than 13.4

From the list of given options, the element that satisfy the above highlights is 13.3

Hence, the possible measurement of the 6th leaf is 13.3

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