A 150​-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece. The shorter piece is nothing inches long.

Answer:

She forgot to find the y intercept add it in the equation

y = .5x-6

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-5 - -7.5)/ (2 - -3)

   =(-5 +7.5)/( 2+3)

   = 2.5/5

   = 1/2

Substitute into the slope intercept form of the equation

y= mx+b

y= .5x +b

We need to determine b by substituting a point into the equation

-5 = .5(2) +b

-5 = 1+b

Subtract 1 from each side

-5-1 = 1-1+b

-6 = b

y = .5x-6

Answer:

She forgot the y-intercept

y = 0.5x - 6

Step-by-step explanation:

y = 0.5x + c

-5 = 0.5(2) + c

c = -6

Correct equation:

y = 0.5x - 6

Answer:

[tex]n > -4[/tex]

Step-by-step explanation:

Step 1:  Convert into an expression

Twice a number minus 4 is less than three times the number

   [tex]2n - 4 < 3n[/tex]

Step 2:  Solve for the number

[tex]2n - 4 - 2n < 3n - 2n[/tex]

[tex]-4 < n[/tex]

Answer:  [tex]n > -4[/tex]

Answer:

18

Step-by-step explanation:

3/4 divided by 1/4 equals 3

3 times 6 equals 18

The calculation of the circumference of a circle with a radius of 32 inches, using 3.14 for PI, gives a result of 201.0 inches.

The subject of this question involves calculating the circumference of a circle. The formula used to find the circumference of a circle is 2πr, where r is the radius of the circle. Here, π is approximated to 3.14 as given in the question, and the radius r is given as 32 inches.

Substituting the given values into the formula, we get circumference = 2 * 3.14 * 32 = 200.96 inches. Thus, the circumference of the circle to the nearest tenth is "201.0 inches."

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Answer:

Zero

Step-by-step explanation:

There is no solution to this.

Answer:

26 °, 51 °, 103 °

Step-by-step explanation:

-A triangle is a 3-sided regular polygon.

-The sum of it's interior angles add up to 180°.

-Only the 26 °, 51 °, 103 ° set add exactly up to 180° and therefore satisfies the triangle's interior angles condition.

Answer:

The answer A trust me

Step-by-step explanation:

Answer:

the third answer is right

Step-by-step explanation:

its a rhombus because the 4 sides are of equal length and the opposite sides are parallel but there are no right angles.

Answer:

Having a deadbolt lock installed on the exteriors of a building would affect the price of Insurance.

The principles of insurance require that the Insurance Policy Holder or Insured should act as if uninsured. This means that even with an Insurance Policy in place, the owner of this house is required to ensure that all reasonable steps have been taken to secure the house.

This may include having a properly installed lock in place.

The price or insurance premium of a homeowner may go up very significantly if there is no lock installed, that is if the risk is accepted for coverage by the insurance company.

It (the premium that is) may or may not come down if there is a deadbolt lock in place. It all depends on the extent to which the deadbolt lock has reduced the exposure of the Insurance company. Where the deadbolt lock has very significantly reduced the risk, the policyholder may press for a reduction in insurance premium.

In most Homeowners Insurance policy, for a claim concerning theft of insured home items, the policyholder has to provide evidence of forceful entry or exit, showing that the house was reasonably secured to warrant a breaking in or breakout.

Cheers!

Answer:

M=(-8, -3.5)

Step-by-step explanation:

The midpoint formula for two points is [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]. Plugging in our numbers, you get [tex](\frac{-9-7}{2},\frac{-10+3}{2})=(-8, -3.5)[/tex]. Hope this helps!

Answer: 9 miles

Step-by-step explanation: 6 divided by 2 is 3 and 3 times 3 is 9.

Answer:

C. 24

Step-by-step explanation:

4!=24

Apply factorial rule: n! = 1 * 2 * 3 * ... * n

4! = 1 *2 * 3 * 4

1 *2 * 3 * 4 = 24

4! = 1 *2 * 3 * 4 = 24

4!=24

Answer:

34.54 inches.

Step-by-step explanation:

The formula for the circumference of the circle is given as [tex]C=\pi d[/tex], where [tex]\pi[/tex] is rounded to 3.14 and d is the diameter of the circle, 11 inches. Simply plug these values into the equation for the circumference to get your answer:

[tex]C=\pi d\\C=(3.14)*(11)[/tex]

C = 34.54 inches

Answer:

34.54 inches

Step-by-step explanation:

C=πd

d=11

C = 11 * 3.14

C = 34.54 inches

Answer:

I agree with Jose that the sum of the probability that a randomly selected pen will not be black and the probability that the pen will not be red is 1.

Step-by-step explanation:

If we sum the probability of not black and probability of not red, we will get 1.

The probability of not black means probability of red i.e 50/450

The probability of not red means probability of black i.e 400/450.

When we add the probability, we get 1.

50/450 + 400/450 = 450/450 = 1

Invariably, the statement is same as finding probability of black and probability of red; just that the value are interchanged.

Answer:

a = 15.59   c= 31.18

27 tan 30 = a

c cos 30 = 27

c = 27/cos30

c = 31.18

Given:

The parent function is [tex]f(x)=x^2[/tex]

We need to determine the function g(x) created from the function f(x) by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units.

Shift left 9 units:

The rule to shift the graph c units to the left is given by

[tex]y=f(x+c)[/tex]

where c is the positive real number.

Hence, to shift the graph 9 units to the left is given by

[tex]f(x)=(x+9)^2[/tex]

Vertical stretch by a factor of 4:

The rule to stretch the graph vertically by a factor of c is given by

[tex]y=cf(x)[/tex]

where [tex]c>1[/tex]

Hence, to stretch the graph vertically by a factor of 4, we have;

[tex]f(x)=4(x+9)^2[/tex]

Shifting 5 units up:

The rule to shift the graph c units upward is given by

[tex]y=f(x)+c[/tex]

where c is the positive real number.

Hence, to shift the graph 5 units upward is given by

[tex]f(x)=4(x+9)^2+5[/tex]

Therefore, the function [tex]g(x)=4(x+9)^2+5[/tex] is created from the graph [tex]f(x)=x^2[/tex] by moving the graph left 9 units, vertically stretching it by a factor of 4 and shifting up 5 units.

Hence, the graph g(x) is [tex]g(x)=4(x+9)^2+5[/tex]

The function g(x) created from f(x) = x^2 by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units is g(x) = 4*(x+9)^2 + 5.

To generate the function g(x) from f(x) = x^2, you will perform several transformations on it:

So, after performing these transformations to f(x) = x^2, you get the function g(x) = 4*(x+9)^2 + 5.

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Answer: False

Step-by-step explanation:

Answer:

32.55 cm  

Step-by-step explanation:

         Let x = the length of wire that becomes a circle.

Then 74 - x = the length of wire that becomes a square

Circumference of circle + perimeter of square = 74

1. Expression for the side of the square

P = 4s = 74 - x

s = ¼(74 - x)

2. Expression for the radius of the circle

C = 2πr = x

r = x/(2π)

3. Expression for the total area

[tex]\begin{array}{rcl}\text{Total area} & = &\text{area of circle+ area of square}\\A & = & \pi r^{2} + s^{2}\\& = &\pi \left(\dfrac{x}{2 \pi}\right)^{2} + \left (\dfrac{1}{4}(74 - x)\right)^{2}\\\\ & = & \dfrac{x^{2}}{4 \pi} + \dfrac{1}{16}(5476 - 148x + x^{2})\\\\ & = & 0.07958x^{2} + 342.25 - 9.25x + 0.0625x^{2}\\A & = & 0.1421x^{2} -9.25x + 342.25 \\ \end{array}[/tex]

This is the equation of a parabola.

In standard form,

ƒ(x) = 0.1421x² -9.25x + 342.24

a = 0.1421; b = -9.25; c = 342.24  

The parabola opens upwards, because a > 0. Therefore, the vertex is a minimum.

The vertex of a parabola occurs at

x = -b/(2a) = 9.25/(2 × 0.1421) = 9.25/(0.2842) = 32.55

The circumference of the circle is 32.55 cm.

The graph below shows that the area of the circle is a minimum when x = 32.55 cm

Answer:

  47 seconds

Step-by-step explanation:

It takes 37 seconds to scan 37 items at the rate of 1 second per item. It takes an additional 10 seconds to process the payment. Then the total time is ...

  37 +10 = 47 . . . seconds

Answer:

$67

Step-by-step explanation:

There are 23 thousand clicks, so as it pays per thousand you need to divide $1 540 by 23, which results in 66.9.... reacurring which when rounded is (a) for $67.

Answer:

2 x minus 3 y = 12

Negative 4 (2 x minus 3 y) = negative 4 (12)

Step-by-step explanation:

y = two-thirds x minus 4

y = (⅔)x - 4

Multiply the entire equation by 3

3y = 2x - 12

2x - 3y = 12

Multiply both sides by -4

-4(2x - 3y) = -4(12)

Answer:

b

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

Just look at the minutes only. Since you need 4 o'clock to 4:30, its only 30 minutes.

Answer:

30 minutes

Step-by-step explanation:

All you have to do is subtract 4:30 and 4:00 and get 30 minutes.

"more" means added to, or addition. So 8 more than 'x' is:

x + 8

Answer:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

Step-by-step explanation:

The basicity of amino acids is as a result f the unshared pair of electrons in the Nitrogen atoms.

Part of the rule of basicity of organic compounds(amino acids) posits that:

The more  unstable an electron pair is, the more basic it is.

From the diagram attached below;

Nitrogen 7 posses and unstable electron due to the lone pair of electron in the NH₃⁺ which renders it most basic .

Nitrogen 1 and 3 are in ring form thereby they are less basic But nitrogen 1 is  more basic compared to nitrogen 3 because lone pair on Nitrogen 1 is not involved in resonance unlike Nitrogen 3 that is  resonance stabilized (i.e alternating by a resonance effect).

Another phenomenon to deduce the basicity of Histidine is the effect of hybridization.

Basicity of Organic Compounds increases with decreasing s character.

Therefore, the trend of basicity is as follows: sp³ > sp² > sp

Because in sp; the lone pairs are most stable, hence least basic

And in sp³; the lone pairs are least stable; hence most basic.

Therefore; From the diagram attached below:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

Let's evaluate explicitly [tex]f(x+k)[/tex]:

[tex]f(x)=2x+4\iff f(x+k)=2(x+k)+4=2x+2k+4[/tex]

If this must equal [tex]2x+22[/tex], we have

[tex]2x+2k+4=2x+22 \iff 2k+4=22 \iff 2k=18 \iff k=9[/tex]

Answer:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Step-by-step explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Answer:

a) 7.54189*10^-8

b) 0.99999999

c) E ( X ) = 0.39 , s ( X ) = 0.604

Step-by-step explanation:

Solution:-

- We will assume the proportion of people with A- blood group is independent and remains constant for a fairly small sample of n = 6 Americans selected at random.

- We will denote a random variable X = The number of americans out of 6 that have blood group type A-.

- The random variable is assumed to follow binomial distribution.

- The probability of success is the proportion of people in U.S that have blood group type A-, p = 0.065:

                        X ~ Bin ( 6 , 0.065 )

Where, r represents the number of americans out of selected 6 have blood group A-. The pmf of a binomial variate is given as:

                       P ( X = r ) = nCr * ( p ) ^r * ( 1 - p ) ^ ( n - r )

a) Find the probability that all 6 are type A-

- We will pmf given above and set r = 6. And evaluate the resulting probability:

                     P ( X = 6 ) = 6C6 * ( p )^6 * ( 1  - p ) ^ ( 0 )

                                      = p^6

                                      = ( 0.065 )^6  

                                      = 7.54189*10^-8

b) Find the probability that at most 4 of them are type A-

- We will pmf given above and evaluate the following expression:

                     P ( X ≤ 4 ) = 1 - P ( X = 5 ) - P ( X = 6 )

                     P ( X ≤ 4 ) = 1 - 6C5 * ( p )^5 * ( 1  - p ) ^ ( 1 ) - p^6

                                      = 1 - 6*(0.065)^5 ( 0.935 ) - 0.065^6

                                      = 1 - 6.50923*10^-8 - 7.54189*10^-8        

                                      = 0.99999999          

c) Find the mean and standard deviation.

- The mean E ( X ) of the defined random variable distributed binomially is given by:

                     E ( X ) = n*p = 6*0.065 = 0.39 people

- The mean s( X ) of the defined random variable distributed binomially is given by:

                    s ( X ) = √n*p*q = √(6*0.065*0.935) = 0.604

Answer:

Median and Interquartile range (IQR)

Step-by-step explanation:

I did it :)

Answer:

d > - 7

Step-by-step explanation:

John is to have more then -7 dollars in his account by the end of this month.

Now,  the variable d is the number of dollars in John's bank account at the end of the month.

Therefore, the inequality in terms of d that is true only if John meets his monthly goal will be

d > - 7 (Answer)

Answer:

24

Step-by-step explanation:

Answer:

The exponential form is 49 to the power of one-half equals 7 ⇒ 4th answer

Step-by-step explanation:

The exponential equation of  [tex]log_{b}(m)=n[/tex]  is [tex]b^{n}=m[/tex] , where b is the base, n is the exponent of b and m is the value of [tex]b^{n}[/tex]

Ex: If  [tex]log_{3}(81)=4[/tex] , that means b = 3 , n = 4 and m = 81, then its exponential form is [tex]3^{4}=81[/tex]

Now let us solve the question

∵ The equation is  [tex]log_{49}(7)=\frac{1}{2}[/tex]

∴ The base is 49

∴ The exponent is [tex]\frac{1}{2}[/tex]

∴ The answer is 7

- Substitute them in the form of the exponential form

∴ The exponential form is [tex](49)^{\frac{1}{2}}=7[/tex]

The exponential form is 49 to the power of one-half equals 7

The given equation is log49(7) = 1/2. To convert it to exponential form, we can write it as 49^(1/2) = 7.

The given equation is:

log49(7) = 1/2

To convert this equation to exponential form, we need to remember that logarithms and exponentials are inverse functions. Therefore, we can write the equation as:

491/2 = 7

Hence, the exponential form of the given equation is 49 raised to the power of 1/2 equals 7.

Answer:

b 25

Step-by-step explanation:

Answer:

A)-5 if its without parenthasis around 5+ 3

Step-by-step explanation

2 minus 3 is -1 and -1 times 5 is -5