Write in standard form. (x+1)(x+1)(x+2)

Answer:

[tex]f = \frac{1}{\frac{1}{u}+ \frac{1}{v} }\\[/tex]

Step-by-step explanation:

[tex]1/u=1/f-1/v\\\frac{1}{f} = \frac{1}{u} +\frac{1}{v}\\Divide- both- sides- by; 1\\\frac{1}{f} \div \frac{1}{1} = ( \frac{1}{u} +\frac{1}{v}) \div \frac{1}{1}\\\\f = \frac{1}{\frac{1}{u}+ \frac{1}{v} }[/tex]

Answer:

  B.  zero

Step-by-step explanation:

The slope of a line can be computed as ...

  slope = rise/run

When the line is horizontal, the "rise" is zero over any "run", so the slope is zero.

Answer:

True

Step-by-step explanation:

Coefficient of realism called alpha which is a decimal number between 0 and 1. This number provides the optimistic view. The number 1 - [tex]\alpha[/tex] is amount of emphasis that is placed in pessimistic outcome. If the coefficient of realism alpha is 1 then criterion of realism will yield same result as maxi max criterion.

Answer:Ratio

Step-by-step explanation:

The ratio data because length has a true zero, and ratios of lengths are meaningful.

Answer:

B. 0.220

Step-by-step explanation:

The table is presented properly below:

[tex]\left|\begin{array}{c|cccc|c}$toppings&$Freshman&$Sophomore&$Junior&$Senior&$Total\\---&---&---&---&---&---\\$Cheese&11&15&24&28&78\\$Meat&23&28&15&11&77\\$Veggie&15&11&23&28&77\\---&---&---&---&---&---\\$Total&&&&&232\end{array}\right|[/tex]

Number of junior students who prefers veggies =23

Number of senior students who prefers veggies =28

Total =23+28=51

Therefore, the probability that a randomly selected student who is a junior or senior prefers veggie

=51/232

=0.220 (to the nearest thousandth)

The correct option is B.

Answer:

P(X = 3) = 0.1442

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this problem we have that:

[tex]n = 7, p = 0.65[/tex]

We have to find P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{7,3}.(0.65)^{3}.(0.35)^{4} = 0.1442[/tex]

Answer:

Look at the numbers on the sides. If they are not spaced out very far, it's centimeters. If they are spaced out very far, it's inches

Step-by-step explanation:

this is how you read a ruler

Answer:

Start at 0

Step-by-step explanation:

Start at 0, then see how far the object goes.

Answer:

45

Step-by-step explanation:

This can be written as 5r:9g. Add 5 and 9 to get the total of 14. You can write a ratio of 9 green: (out of) 14 total = x green: (out of) 70 total. Multiply 9 and 14 by 7 to get 45:70. Therefore, if there are 70 hairbands, 45 are green.

Answer:

0.02

Step-by-step explanation:

If n is 50, 1/n is equivalent to 1/50. 1/50 as a decimal is 0.02.

Answer:

4

Step-by-step explanation:

(segment piece) x (segment piece) =   (segment piece) x (segment piece)

JN* NK = LN * NM

3x = 2*6

3x = 12

Divide by 3

3x/3 =12/3

x =4

Answer:

30 m^3

Step-by-step explanation:

Answer:

B. 20m3

Step-by-step explanation:

i dont know if its correct, hope it is tho

Answer:

(f - g)(x) = -x - 14

Step-by-step explanation:

Step 1: Plug in equations

4x - 8 - (5x + 6)

Step 2; Distribute negative

4x - 8 - 5x - 6

Step 3: Combine like terms

-x - 14

Answer:

-x-14

Step-by-step explanation:

Hope this helps

Answer:

  35 inches

Step-by-step explanation:

The right angle and the given measures in the ratio 3:4 tell you this is a 3:4:5 right triangle. k = 7·5 = 35 inches.

__

Using the Law of Cosines, ...

  k² = m² +j² -2mj·cos(K)

  k² = 21² +28² -2·21·28·cos(90°) = 441 +784 -0 = 1225

  k = √1225 = 35

The length of k is 35 inches.

Answer:

35 Inches

Step-by-step explanation:

Instead of using the Law of Cosines, you can use the Pythagorean Theorem; or A^2 + B^2 = C^2 because angle K is 90 degrees. The equation would look like:

21^2 + 28^2 = C^2

441 + 784 = C^2            Square Each Term

1,225 = C^2                   Simplify

35 = C                            Find Square Root

k = 35                             In This Situation, k is C

Answer: 50 miles

Step-by-step explanation:

75 miles in one and half hours.

That's 25 miles per half hour

So, in 1 hour, he will drive 50 miles

Answer:

  x + y + z = 14

Step-by-step explanation:

If the points are designated A, B, C, then ...

  AB × AC = (7, -7, 0) × (7, 0, -7) = (49, 49, 49).

That is, a vector perpendicular to the plane is (1, 1, 1), so the equation of the plane can be ...

  (1, 1, 1)·(x, y, z) = (1, 1, 1)·A

  x + y + z = 14

Answer:

D

Step-by-step explanation:

Answer:

Area = 40×20

=800Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

It forms a linear pair (Angles on a straight line) with one of the interior angles of the triangle.

Answer:

D

Step-by-step explanation:

A linear pair of angles is when two angles add up to 180 degrees on a line.

Interior angles and exterior angles form a linear pair.

Answer:

y <= (2/5)x - 3/2

Step-by-step explanation:

y-intercept is -3/2

slope = 2/5

shading is below the line

Answer: y <= (2/5)x - 3/2

Answer:

Lateral area of the pyramid = 120 square units

Step-by-step explanation:

In the figure attached,

A pyramid has been given with square base with edges of 12 units and perpendicular height as 8 units.

Lateral area of a pyramid = Area of the lateral sides

Area of one lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Lateral height})[/tex]

                                       = [tex]\frac{1}{2}(\frac{b}{2})(\sqrt{(\frac{b}{2})^2+h^2})[/tex]  [Since l = [tex]\sqrt{r^{2}+h^{2}}[/tex]]

                                       = [tex]\frac{1}{2}(6)(\sqrt{6^2+8^2})[/tex]

                                       = [tex]3\sqrt{100}[/tex]

                                       = 30 units²

Now lateral area of the pyramid = 4 × 30 = 120 square units

Answer: 240 units^2

Step-by-step explanation:

LA= 1/2 Pl

P= perimeter of base

l= lateral height

l= 8^2 + (12/2)^2 = 10^2

P= 12 x 4 = 48

48 x 10 = 480

480/2 = 240

240 units^2

Answer:

(a) remainder is -40

(b) The remaining zeroes are (x+3) and (x-3)

Step-by-step explanation:

p(x) = x^4 - 2x^3 -7x^2 + 18x – 18

(a) Remainder of P(x) / (x+1) can be found using the remainder theorem, namely

let x + 1 = 0 => x = -1

remainder

= P(-1)

= (-1)^4 - 2(-1)^3 -7(-1)^2 + 18(-1) – 18

= 1 +2 -7-18-18

= -40

remainder is -40

(b)

If one zero is 1-i, then the conjugate 1+i is another zero.

in other words,

(x-1+i) and (x-1-i) are both factors.

whose product = (x^2-2x+2)

Divide p(x) by (x^2-2x+2) gives

p(x) by (x^2-2x+2)

= (x^4 - 2x^3 -7x^2 + 18x – 18) / (x^2-2x+2)

= x^2 -9

= (x+3) * (x-3)

The remaining zeroes are (x+3) and (x-3)

Answer:

C. 44 °

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

180 - 88 = 92

Angles in a triangle add up to 180 degrees.

y + y + 92 = 180

y + y = 88

2y = 88

y = 88/2

y = 44

Answer:

The answer is 46"

Step-by-step explanation:

A triangle is 180 degrees

so u already know one side

180"-88" is 92

then divide 92 by 2 which is 46

Answer: 46"

Answer:

[tex] z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357[/tex]

And we can find the probability using the normal distribution table and we got:

[tex] P(z<2.357) =0.9908[/tex]

Step-by-step explanation:

Let X the random variable of interest and we can find the parameters:

[tex] \mu =25, \sigma= 3[/tex]

And for this case we select a sample size n =50. And since the sample size is higher than 30 we can use the central limit theorem and the distribution for the sample mean would be given by:

[tex] \bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]

We want to find the following probability:

[tex] P(\bar X <26)[/tex]

And we can use the z score formula given by:

[tex] z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357[/tex]

And we can find the probability using the normal distribution table and we got:

[tex] P(z<2.357) =0.9908[/tex]

Answer:

173.20 ft

Step-by-step explanation:

[tex] \tan \: 30 \degree = \frac{length \: of \: tunnel}{depth \: of \: tunnel} \\ \\ \frac{1}{ \sqrt{3} } = \frac{length \: of \: tunnel}{300} \\ \\ length \: of \: tunnel \\ \\ = \frac{300}{ \sqrt{3} } \\ \\ = \frac{300 \sqrt{3} }{3} \\ \\ = 100 \sqrt{3} \\ \\ = 100 \times 1.7320 \\ \\ = 173.20 \: ft[/tex]

Answer: Volume = [tex]\frac{20\pi }{3}[/tex]

Step-by-step explanation: The washer method is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be

V = [tex]\pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx[/tex]

For this case, the region generated by the conditions proposed above is shown in the attachment.

Because it is revolting around the y-axis, the formula will be:

[tex]V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy[/tex]

Since it is given points, first find the function for points (3,2) and (1,0):

m = [tex]\frac{2-0}{3-1}[/tex] = 1

[tex]y-y_{0} = m(x-x_{0})[/tex]

y - 0 = 1(x-1)

y = x - 1

As it is rotating around y:

x = y + 1

This is R(y).

r(y) = 1, the lower limit of the region.

The volume will be calculated as:

[tex]V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy[/tex]

[tex]V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy[/tex]

[tex]V=\pi \int\limits^2_0 {y^{2}+2y} \, dy[/tex]

[tex]V=\pi(\frac{y^{3}}{3}+y^{2} )[/tex]

[tex]V=\pi (\frac{2^{3}}{3}+2^{2} - 0)[/tex]

[tex]V=\frac{20\pi }{3}[/tex]

The volume of the region bounded by the points is [tex]\frac{20\pi }{3}[/tex].

Answer:

31ft

Step-by-step explanation:

6 ft  + 2.5 ft + 12 ft  + 2.5 ft  + 8 ft  = 31ft

I assumed the slash in the space between 2.5ft and 12ft was an error, so I ignored it in the solution to this problem.

Besides that, perimeter is found by adding all sides of the shape or figure together, and the sum of that is the perimeter.

The basic formula for perimeter is:

base + height + base + height.

I do not think you square perimeter as you do area (e.g. 31ft^2).

Answer:

198.5

Step-by-step explanation:

() = 200 - 1.5

() = 198.5

im not sure if this is what you are asking, but i hope it helps

Answer:

S=p(200-1.5)  

Answer:

5:00 AM

Solution:

we will have to find the lowest common multiple of 8 , 5 and 18.

Since they blow their whistles once every 8/5/18 minutes.. you can imagine it as the multiplication table for these numbers. The number on which all three overlap,  is the LCM and hence the amount of time after they will blow their whistles together.

The LCM is 360

therefore, the guards will blow their whistles together 360 minutes after 11:00pm

360 minutes  = 6 hours

6 hours after 11:   5:00AM

Answer:

Hey!

Your answer is 5:00 am!

Step-by-step explanation:

1) Find the LCM of 8, 15, 18...360

2) 360 mins = 6 hours

3) 11:00 pm + 6 hours = 5:00 am

Hope this helps!

Answer:

A

The  test statistics is  [tex]t = -1.7[/tex]

B

The  Null and  Alternative hypothesis are

      [tex]H_o : \mu = 47.2[/tex]   and  [tex]H_a : \mu \ne 47.2[/tex]

Step-by-step explanation:

From the question we are told that

    The population mean is  [tex]\mu = 47.2 miles/gallon(MPG)[/tex]

    The sample size is  [tex]n = 250 \ van[/tex]

     The  sample mean is  [tex]\= x = 47.0[/tex]

      The sample  standard deviation is  [tex]\sigma = 1.9[/tex]

      The level of significance is  [tex]\alpha = 0.02[/tex]

Given that the value which the manufacturer gave the automobile is  47.2 and  it is believed that this is not correct, then  

The  Null Hypothesis is  

        [tex]H_o : \mu = 47.2[/tex]

The alternative Hypothesis  is  

        [tex]H_a : \mu \ne 47.2[/tex]

The test statistics can be mathematically evaluated as  

        [tex]t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }[/tex]

substituting values

        [tex]t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }[/tex]

       [tex]t = -1.7[/tex]

Answer:

given,

AB= 17

AC= 8

angle BCA =90°

as it is a Right angled triangle ,

taking reference angle BAC

we get,h=AB=17

b=AC=8

p=BC=?

now by the Pythagoras theorem we get,

p=

[tex] \sqrt{h { }^{2} - b {}^{2} } [/tex]

so,p=

[tex] \sqrt{17 {}^{2} - 8 {}^{2} } [/tex]

[tex] = \sqrt{225} [/tex]

=15 is the answer....

hope its wht u r searching for....