Find the volume of the composite solid.

Its c, as x increases y increases and then decreases

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].

The projected number of new cases for 2013 is 1352.

Given that,

The number of newly reported crime cases in a county in New York State is shown in  the accompanying table,

Where x represents the number of years since 2001, and y  represents number of new cases.

We have to determine,

The linear regression equation that represents  this set of data.

And Using this  equation, find the projected number of new cases for 2013.

According to the question,

The line of best-fit is given by:

[tex]y = bx+a[/tex]

Assume [tex]y = kx + b[/tex]

And,

[tex]k = \dfrac{change \ in \ y} {change \ in \x }\\\\k = \dfrac{1194-1086}{5-0}\\\\k = \dfrac{108}{5}\\\\k = 21.6[/tex]

Then, pass from the point (3, 1158),

[tex]y = kx + b \\\\1158 = 21.6 \times 3 + b \\\\1158 = 64.8 +b \\\\b = 1158 - 64.8\\\\b = 1093.2[/tex]

Then ,

The projected number of new cases -  the number of years since 2001

[tex]= 2013-2001 \\\\= 12[/tex]

Therefore,

[tex]y = 21.6\times 12 + 1093.2\\\\y = 259.2 + 1093.2 \\\\y = 1352.4\\\\y = 1352 \ approx[/tex]

Hence , The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].

And The projected number of new cases for 2013 is 1352.

To know about Probability click the link given below.

https://brainly.com/question/20154478

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

Answer:

h = 2a/b

Step-by-step explanation:

a = 1/2 bh

2*a = 2* 1/2 bh

2a = bh

2a/b = bh/b

2a/b = h

Answer:

2 people can have 18 cupcakes each

3 people can have 12 cupcakes each

4 people can have 9 cupcakes each

9 people can have 4 cupcakes each

Step-by-step explanation:

Answer: 1,2,3,4,6,9,12,18,36

Step-by-step explanation:

Answer:

D. Temperature(minutes), or t(m)

Step-by-step explanation:

Option D is the correct answer.

( D.temperature(minutes), or t(m) )

Step-by-step explanation:

We are given that:

The temperature of the coffee depends on the number of minutes it sits on the desk.

i.e. the temperature(t) of coffee is a function of time in minutes (t).

i.e. times is a independent variable and temperature is a dependent variable.

Hence, the most appropriate name for the function described below is:

temperature(minutes), or t(m).

Hence, option D is correct.

Answer:

Temperature is the answer

Step-by-step explanation:

I got it right

Answer:

Step-by-step explanation:

Just so you know, the answer is NOT B, as one person stated.

In order for a right triangle to be a right triangle, 2 things have to happen.  One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.

Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17.  Using Pythagorean's Theorem to test:

[tex]8^2+15^2=17^2[/tex] and

64 + 225 = 289 and

289 = 289.  So a is a right triangle. Now for b:

[tex]20^2+21^2=29^2[/tex] and

400 + 441 = 841 and

841 = 841. So b is also a right triangle. Now for c:

[tex]9^2+16^2=18^2[/tex] and

81 + 256 = 324 and

337 = 324.  Obviously, 337 does not equal 324, so c is not a right triangle.

.  Obviously, 337 does not equal 324, so c is not a right triangle.

Answer:

[tex]n = - \frac{21}{12} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-4/7

Step-by-step explanation:

2/3(1+n)= -1/2n    ======= × 6 both sides

4(1+n)= -3n

4+4n= -3n

-7n=4

n= -4/7

Answer:

a. A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones y aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido. b.  Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.

Step-by-step explanation:

¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?

Datos

Pedido de Estela:

138 tejuelones.

Le entregaron:

Dos (2) Paquetes de 50 tejuelones.

Dos (2) Paquetes de 15 tejuelones.

Tres (3) Sueltos.

Operación

Para determinar cuántos tejuelones le entregaron a Estela, efectuamos las siguientes operaciones para determinar el número de tejuelones que le entregaron:

Dos (2) Paquetes de 50 tejuelones

2 * 50 tejuelones = 100 tejuelones

Dos (2) Paquetes de 15 tejuelones

2 * 15 tejuelones = 30 tejuelones

Es decir, multiplicamos el número de paquetes por la cantidad de tejuelones que trae cada uno.

Ahora sumamos el total de ambas cantidades y le adicionamos los tres (3) tejuelones sueltos:

(100 + 30 + 3) tejuelones = 133 tejuelones.

Pero Estela pidió 138 tejuelones, así que aún necesita:

(138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido realizado.

Respuestas

¿Cuántos tejuelones le entregaron a Estela?

A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones.

¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?

Estela aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido.

¿Cuántos tejuelones llevó Don Antonio?

Datos

Pedido de Don Antonio

Tres (3) paquetes de 50 tejuelones.

Cuatro (4) paquetes de 15 tejuelones.

Siete (7) tejuelones sueltos.

Operaciones

Para determinar cuántos tejuelones le entregaron a Don Antonio, debemos multiplicar el número de paquetes por la cantidad de cada uno y sumar los siete (7) tejuelones sueltos, es decir, seguimos el mismo procedimiento de la pregunta anterior.

Tres (3) paquetes de 50 tejuelones

3 * 50 tejuelones = 150 tejuelones.

Cuatro (4) paquetes de 15 tejuelones

4 * 15 tejuelones = 60 tejuelones.

Ahora sumamos estas cantidades y le adicionamos los siete (7) tejuelones sueltos:

(150 + 60 + 7) tejuelones = 217 tejuelones.

Respuesta

¿Cuántos tejuelones llevó Don Antonio?

Entonces, considerando los resultados anteriores, tenemos que Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.

Answer:

y=2x-10

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,-4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=-4.

Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.

Now, just plug the numbers into the formula for m above, like this:

m=

2 - -4

6 - 3

or...

m=

6

3

or...

m=2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

Answer:

81

Step-by-step explanation:

sin 31 = 42/x

x sin 31 = 42

x = (sin 31)/42

Answer:

D

Step-by-step explanation:

Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

Answer:

C

Step-by-step explanation:

AC & BC are adjacent sides.

If two sides share a vertex, then they are adjacent sides

Answer:

Step-by-step explanation:

Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.

Velocity V is the change of rate of displacement.

V = dh/dt = 32t

0 = 32t

t = 0secs

at t = 0;

h(0) = 16(0)²+84

h(0) = 84feet

This shows that the maximum height of the ball is 84feet

Answer:

The last one on the bottom right

Step-by-step explanation:

When we are trying to fit a line for a number of points, we can fix this line at several points on the graph. However, out of the several lines that we can fit, only one of these lines would work perfectly and it is called the line of best fit.

The reason why it is called the line of best fit is that it is drawn in a manner in which it leaves equal number of points above it as below it.

Supposed we have 15 points for our graph with the line of the slope passing thorough 5, the line of best fit in this case would leave 5 points above and another 5 below the line.

Leaving 6 and 4 is also manageable, but in case where 3 and 7 are left above and below the line, then it becomes a problem

Thus, out of all the representations we have, the one on the bottom right best works

Answer:

[tex]7a^2b^2\left(a-2b\right)[/tex]

Step-by-step explanation:

[tex]7a^3b^2 - 14a^2b^3[/tex]

[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]

[tex]=7a^2b^2\left(a-2b\right)[/tex]

Answer:

X = - 6

Step-by-step explanation:

18x + 30 = 6(2x – 1)

Multiply 6 to 2x and - 1

18x + 30 = 12x – 6  

Subtract 30 on both sides

18x = 12x – 36  

Subtract 12x on both sides

6x = - 36  

Divide by 6 on both sides

X = - 6  

Answer: 4.64%

[tex]\dfrac{\text{female research scientist}}{\text{female total}}=\dfrac{103}{2219}=0.0464\quad =\large\boxed{4.64\%}[/tex]

Answer:

X =30/7

Step-by-step explanation:

The first way would be something like:

-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.

Therefore,

-7x+10-10=-20-10

Simplified, we get

-7x=-30

Remove the negative symbols

7x =30

x=30/7

Second example:

10=7x - 20

Add 20 to both sides.

10+20=7x-20+20

Simplified,

30=7x

x = 30/7

Answer:

What is the solution?

✔ x = 30/7

Step-by-step explanation:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

Answer:

B. 5/7

Step-by-step explanation:

Up the y axis by 5 and over the x axis by 7

Answer: 43.5

Step-by-step explanation:

185/425

divide them, you should get 0.435

move it to the left 2 times and thats your answer

Answer:

skewed left

Step-by-step explanation:

this is because most of the data set is on the right side

Answer:

C

Step-by-step explanation:

The bars are definitely not equal (so a isn't the answer), neither is it symmetrical (so d isn't the answer). Most of the data is on the right, so it's skewed left

Answer:

It’s the third option

Step-by-step explanation:

I took the quiz

Answer:

It is called a zero angle.

A 180 degree angle is called a straight angle.

A ninety degree angle is called a right angle.

Answer:

1/3 of 13/2 * 3/4(56/7)

= 1/3 of 13/2 * 3/4*8

= 13/6 * 3/4*8

= 13/6 *6

= 13

Hope this helps.

Answer:

b.

Step-by-step explanation:

everything under x= 2 is x+1 meaning x<2 and at 2 it starts x+2

Answer:

The correct option is b.

Step-by-step explanation:

x + 1 ...........................x ≤ 5

x+2 .............................x ≥ 2

Answer:

20. 13 cm

21. 12 cm

Step-by-step explanation:

20. isosceles means two sides are the same length, so you take the ten off the perimeter to get 26 remaining cm (36 -10) and you then divide that by two to get both sides of 13 cm (26 / 2)

21. because you know that if you split the triangle down the middle you get a right triangle and you can use a^2+b^2=c^2 to find the height, so we take the one side of 13 cm and half of the third side, which is 5, and you can find your answer (a^2 + 5^2 = 13^2   ---> a^2 + 25 = 169 ---> a^2 = 144 ---> a = 12)

Answer:

976 cm²

Step-by-step explanation:

25 x 10 x 2 = 500

14 x 10 = 140

14 x 24 = 336 ((14x24/2)x2)

500 + 140 + 336 = 976