Order 2.000 D5W IV to infuse over 12 hoursThe drop factor is 15 gtt/. Calculate the rate in gtt / min

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

Answer:

point A

Step-by-step explanation:

Hope this helps you dude.

Answer: A Canadian tourist carried CAN $500 with him to Jamaica to spend. If he were to change it into Jamaican currency, how much JM dollars would he have to spend? CAN $1.00 = JMD $117

Hope this helps, if I got it wrong, I'm very sorry.

Answer:

its 165 square feet

Step-by-step explanation:

i got the same question and that was the answer (:

Answer:

D) -7y + 14

Step-by-step explanation:

-7 x y = -7y

-7 × -2=14 ( negative times negative equals positive)

Answer:

75.36

Step-by-step explanation:

C= 2 pi r

c= d pi

c= 24*3.14

c= 75.36

Answer:

2400 dollars

Step-by-step explanation:

600 minutes in 10 hours

600/5 = 120

120*20 = 2400 dollars

Answer:

4⁷

Step-by-step explanation:

Rule of exponents is:

aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾

4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷

Answer:

Step-by-step explanation:

Answer:

smaller answer x=-9

larger answer x=1

Step-by-step explanation:

[tex]x^{2}[/tex]+8x+14=23

[tex]x^{2}[/tex]+8x-9=0

D=64+36=100

[tex]x_{1} =\frac{-8+10}{2} =1[/tex]

[tex]x_{2} =\frac{-8-10}{2} =-9[/tex]

so, smaller answer x=-9

larger answer x=1

Answer:

x = - 9, x = 1

Step-by-step explanation:

Given

x² + 8x + 14 = 23 ( subtract 23 from both sides )

x² + 8x - 9 = 0 ← in standard form

(x + 9)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9 ← smaller answer

x - 1 = 0 ⇒ x = 1 ← larger answer

Answer:

102cm²

Step-by-step explanation:

Step 1 find the area of the whole rectangle

Area of a rectangle = width times length

The width of the rectangle is 20 cm and the length is 6cm

So the area = 20 * 6

20 * 6 = 120

Hence the area of the rectangle is 120 square centimeters.

Step 2 Find the area of the square and the triangle

Area of square = s²

where s = side length

The square has a side length of 3 so the area of the square = 3²

3² = 9

Hence, the area of the square is 9cm²

Now to find the area of the triangle

area of a triangle = [tex]\frac{bh}{2}[/tex] where b = base length and h = height

We are given the height (3 cm, this is given because the square is sharing it's side length with the height of the triangle.)

Now to find the base length

We can find it by subtracting the overall rectangle's width (20cm) by the bottom width (11 cm) and the bottom length of the square ( 3 cm )

so triangle's base length = 20 - 11 - 3

20 - 11 - 3 = 6

so the base length of the triangle is 6 cm

now we plug in the values of the height and the base length into the formula

[tex]A=\frac{6*3}{2} \\6*3=18\\\frac{18}{2} =9[/tex]

Hence the area of the triangle is 9 cm²

Finally, to find the area of the shaded area, we subtract the area of the triangle and the area of the square from the area of the rectangle

so your answer = 120 - 9 - 9

120 - 9 - 9 = 102

Hence, the area of the shaded region is 102 square centimeters.

Answer:

volume = 682.67π  units³     or     2143.58 units³

Step-by-step explanation:

volume = 4/3πr³

volume = 4/3π8³ = 4/3π(512)

volume = 682.67π

Answer:

V = 336 ft3

Step-by-step explanation:

1/2*7*16*6

336

Answer: 336 ft cubed

Step-by-step explanation:

Formula is 1/2 times B times L times H so, 7 times 6 is 42, 42 times 16 is 672 and 672 divided by 2 or multiplied by 1/2 is 336

Answer:

36

Step-by-step explanation:

4×(3)²

4×9

36

Step-by-step explanation:

Yes it is a function dearest

Answer:

no

Step-by-step explanation:

To determine if x = 7 is a solution.

Substitute x = 7 into the equation and if left side equals right side then it is a solution

3(7) - 4 = 21 - 4 = 17 ≠ 15

Then x = 7 is not a solution to the equation

No, x = 7 is not the solution of Equation 3x - 4 = 15

An Equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that an Equation 3x - 4 = 15

Solving x = 7 we get,

3*7 - 4 = 21 - 4 = 17

17 ≠ 15

Hence, x = 7 is not a solution of the given Equation.

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Answer:

-28.5

-5

-11.8

-4.5

Step-by-step explanation:

From that data provided for Monday

Temperature at noon = temperature at midnight + the change in temperature

-32 + 20 = -12

Temperature on Tuesday's noon = -17.5 + (-11) = -28.5

Temperature on Friday's noon = -21.8 + 17.3 = -4.5

From that data provided for Monday

Temperature at midnight = temperature at noon - change in temperature

-12 - 20 = -32

Temperature on Wednesday's midnight = 10.5 - 15.5 = -5

From that data provided for Monday,

change in temperature = temperature at noon - temperature at midnight

-32 - (-12) = 20

Change in temperature on Thursday = -24 - (-12.2) = -11.8

Answer:8.8ft

Step-by-step explanation:

250/3.14*3^2

250/3.14*9

250/28.26

8.8464

8.8ft

Answer:

3.5595feet

Step-by-step explanation:

Given the function f(x)=15(.75)^x which models the height of the ball in feet of each bounce, where x is the bounce number. The height after the 5th bounce will be gotten by substituting x = 5 into the function

f(x)=15(.75)^x

f(5)=15(.75)^5

f(5)=15(0.2373)

f(5)= 3.5595

Hence the height after the 5th bounce is 3.5595feet

Answer:the answer is 3.6 if you’re rounding to the nearest 10th of a foot

Step-by-step explanation:

.75 to the power of 5 times 15

Answer:

its a on edg 2021

Step-by-step explanation:

The median age of a man at the time of his first marriage is, on the average, constant.

It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.

Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.

Determine the rate of change between 1950 and 1960.

The average rate of change = [f(a) - f(b)]/ [ a - b ]

The average rate of change is equal to (22.8 - 22.8) / 10 = 0.

As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.

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Answer:

A. Bar graph

Step-by-step explanation:

Since they are all different activities and don't relate you can put different bars to put the different activities and use the left to indicate the amount of students and grow the bar according to the amount of students in that activity; each bar stands for a different activity, the y-intercept is for the amount of students, the bar will grow 'up' according to the amount of students.

x + y when x = 6 and y = 2

6 + 2 = 8

[tex]\frac{9x+24}{4}[/tex] when x = 12 and y = 20

[tex]\frac{148}{4}[/tex] = 37

[tex]\frac{6m}{n}[/tex] when m = 12 and n = 3

[tex]\frac{72}{3}[/tex] = 24

Six times x

6x

Six increased by x

6 + x

The sum of x and y

x + y

Answer:

3x² + 3x³ - x + 8

Step-by-step explanation:

All we have to do is add the terms together

(open parentheses as well)

3x² - 8x + 2 + 3x³ +7x +6

now, simplify

3x²+3x³-x+8

Answer:

Step-by-step explanation:

Create and solve an equation of ratios:

5      x

--- = ----

4      8

Cross multiplying yields 4x = 40, or x = 10

Step-by-step explanation:

It seems here that they are asking us to solve for x

to do this we first need to factor

Since we can't factor this using the normal method we can instead do this

x^2 -4x-17=0

add 4 to both sides as it is a perfect square

x^2 - 4x + 4  = 17 +4

(x-2)^2 = sqrt 21

x-2 = ±  4.58

x -2 = 4.58    x-2 = -4.58

x= 6.58          x=-2.58

Or just say x=2+√21 or x=2−√21

Answer:

The answer is m=0.10L

Step-by-step explanation:

You just input the values in L in the equation to get M you just do process of elimination

Answer:

B. 191 cm2

Step-by-step explanation:

have a nice day!!! :)

The area of the Circle is 191.03 cm².

Option B is correct.

Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.

The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.

The area of a circle is calculated as A = πr², where r is the radius of the circle.

Given:

r = radius = 7.8cm

π = 3.14

So, area of Circle

= πr²

Now, substitute the values we get

= 3.14 x 7.8 x 7.8

= 3.14 x 60.84

= 191.03 cm²

Thus, the Area of Circle is 191.03 cm².

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Answer:

1. 33%

2. 16%

3. 50%

Step-by-step explanation:

Answer:

Step-by-step explanation:

i dont get it

Answer:

just multiply al the sids like you would with a square