ING DROPS
1. The total volume to be given is 30 ml.
The time over which this is to be given is 30 minutes.
The drop factor is 15.
How many drops per minute will be delivered ?

Answer:

1)   k = -3

2)   B.  The curve would be narrower, but the vertex would be in the same position.

Step-by-step explanation:

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Question 1

When a graph is shifted up or down we add or subtract the number of units it has shifted from the function.

From inspection of the graph, the vertex of function j(x) is (0, 2)

From inspection of the graph, the vertex of function j(x) + k is (0, -1)

Therefore, function j(x) has been translated 3 units down.

Therefore, the value of k is -3, since the function of the graph is j(x) -3

Question 2

When discussing the stretching of curves, it is usual to always refer to it as a "stretch" rather than a stretch or compression.  

If the scale factor a is 0 < a < 1 then the graph gets wider.  

If the scale factor a is a > 1 then the graph gets narrower (i.e. "compressed").

h(x) to h(2x) means that the function h(x) has been stretched horizontally by a factor of 1/2.  The other way to say this is that is have been compressed horizontally by a factor of 2.  In any case, as a > 1 the graph gets narrower.

Therefore, the vertex would stay in the same place but the curve would be narrower.

Answer:

Step-by-step explanation:

What is [3-8]-(12÷3+1)²

[3-8]-(12÷3+1)² =

[3 - 8] - (4 + 1)² =

-5 - (5)² =

-5 - 25 =

-30

Answer:

it will increase the production

Step-by-step explanation:

Answer:

[tex]\text{C.} \ \ \ {\left(\textit{AB}\right)}^{2} \ = \ \left(\textit{AC}\right)\left(\textit{AD}\right)[/tex]

Step-by-step explanation:

This problem uses the concept of the tangent-secant theorem which describes the relationship of the segments a secant line and a tangent line with the associated circle. This theorem is found as Proposition 36 in Book 3 of Euclid's Elements.

As shown in the figure attached below, segment AB (in blue) forms a tangent with the circle BCD and segment AD (in orange) is the secant where it intersects the circle at point C.

Furthermore, let two segments (in green) be drawn one from point C and point D.

To show that [tex]\triangle ABC[/tex] is similar to [tex]\triangle ADB[/tex], notice that both triangles share a common angle [tex]\angle BAC[/tex]. Additionally, by the alternate segment theorem, [tex]\angle ABC[/tex] is equal to [tex]\angle ADB[/tex]. Therefore, [tex]\angle ACB[/tex] is also equal to [tex]\angle ABD[/tex].

Hence, [tex]\triangle ABC[/tex] is indeed similar to [tex]\triangle ADB[/tex]. This implies the ratio of the sides of both triangles is the same. Particularly,

                                                  [tex]\displaystyle{\frac{AB}{AD} \ \ = \ \ \frac{AC}{AB}}[/tex].

Then, performing cross multiplication yields

                                             [tex]{\left(AB\right)}^{2} \ \ = \ \ \left(AC\right)\left(AD\right)[/tex].

Therefore, the product of the lengths of the secant segment and its external segment is equal to the square of the length of the tangent segment.

Answer:

y = (3/2)x - (1/2)

Step-by-step explanation:

The general structure of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of "m" (3/2). To find the value of "b", you should plug "m" into the equation in addition to the "x" and "y" values from the given point (1,1)

(1,1) ----> x = 1, y = 1

m = 3/2

y = mx + b                                <----- Slope-intercept form

y = (3/2)x + b                            <----- Plug (3/2) into "m"

1 = (3/2)(1) + b                           <----- Plug values into "x" and "y" from point

1 = (3/2) + b                              <----- Multiply (3/2) and 1

(2/2) = (3/2) + b                        <----- Change 1 into common denominator

(-1/2) = b                                  <----- Subtract (3/2) from both sides

Because you now have values for both variables, you can construct your final equation.

y = (3/2)x - (1/2)

Answer: what is the question

Step-by-step explanation:

Answer:

3:11 or 8:11

Step-by-step explanation:

I think your missing some imformation! I'm guessing the ratio of picking a red marble is 3:8 while a blue marble is 8:3

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex] \texttt{ \:The absolute maxima of f is f(-8) = 6} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Absolute maxima is the maximum possible value for a given x, of a function.

and here, the maximum value is at -8, and the maximum value is 6.

[tex]\qquad \tt \rightarrow \: maximum - \: \: f( - 8) = 6[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.

A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.

Now, an 'angle' is formed by two rays having a common end-point.

As the angle has a common endpoint,

Therefore it is not possible to form an angle by intersecting two rays having different endpoints.

Hence, option D is correct.

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The probability that Jamie buys a telecaster or a Less Paul is 45% or forty-five percent.

1. Find the individual probabilities:

Probabilities to buy a telecaster:

Probabilities to buy a Les Paul:

2. Add the probabilities:

3. Multiply by 100:

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[tex] {x}^{2} + 5x + 6 = 0 \\ \\ {x}^{2} + 2x + 3x + 6 = 0 \\ \\ x(x + 2) + 3(x + 2) = 0 \\ \\ (x + 2)(x + 3) = 0 \\ \\ x + 2 = 0 \\ \\ x = - 2 \\ \\ x + 3 = 0 \\ \\ x = - 3.[/tex]

The value of x = -2 and -3 .

Answer:

hope it helps...

it has both co ordinate and factorization

∠2 and ∠4 are vertical opposite angles and they are congruent.

Vertically opposite angles are congruent.

Therefore, let proof ∠2 and ∠4 are vertical angles

Hence,

m∠2 + m∠3 = 180

∠2 and ∠3  are linear pair.

m∠3 + m∠4 = 180

∠3 and ∠4  are linear pair.

∠2 and ∠4 are vertical angles

m∠2 + m∠3 = m∠3 + m∠4

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Answer: View picture below!

Step-by-step explanation: Just did it!

Answer:

13, 19, 25.

Step-by-step explanation:

y=3x+10

-------------

x=1, y=3(1)+10=3+10=13

x=3, y=3(3)+10=9+10=19

x=5, y=3(5)+10=15+10=25

Answer:

4 is the answer

Answer:

4 is the answer I believe

Answer:

15cd(1 + 2cd)

Step-by-step explanation:

greatest common factor is 15cd

[tex]15cd*1 + 15cd*2cd\\= 15cd(1 + 2cd)[/tex]

The opening price of the stock in the beginning of the day will be $75.

The quantity of anything is stated as though it were a fraction of a hundred.

The stock of Company A lost 2% today to $73.50.

Let x be the opening price of the stock in the beginning of the day.

Then the opening price of the stock in the beginning of the day will be

0.98 · x = 73.5

         x = 73.5 / 0.98

         x = $75

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Answer:

0.42 dollar per pint

2.36 pints per dollar

The equation that models the data on pandas is FV = 25(1.066)^t.

The formula for calculating future value of the pandas is:

FV = P (1 + r) ^n

FV = 25(1.066)^t

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Answer:

Step-by-step explanation:

From the picture we observe:

1. The shape is 3 quarters of circle as one quarter is excluded (note the right angle);

2. The radius of the circle is 2 units.

Use area formula of circle to find the area of given shape:

Answer:

a = 4pi

Step-by-step explanation:

The formula of finding a area of a circle is "a = piR^2.

Replace the R with the radius which is 2 for this circle.

Answer: 31 cm.

explanation:

Given, Radius = 5 cm (near to)

this means the radius is near 5 cm. It can be 4.9, 4.99, 4.999.....or 5.01,5.001,5.001...... and so on.

So, the circumference of the circle is given by:-

Circumference = 2× [tex]\pi[/tex] × r

⇒ 2 × 22/7 × 5    (for the smallest value, we'll consider r as 5 and then round off the circumference to the smallest value)

⇒ 220/7 ≈ 31.43 cm

rounding off to the smallest integer, we have

Circumference = 31 cm.

The smallest value that the circumference could have is 10 [tex]\pi[/tex]cm

Using Formula,

Circumference = 2 [tex]\pi \\[/tex] r

Radius = 5 cm

So, C = 2 [tex]\pi[/tex] 5

C = 10 [tex]\pi[/tex]cm

Therefore circumference is 10 [tex]\pi[/tex]cm.

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John invested the money at simple interest for 4.22 years.

We have,

Invested amount = $ 4500

Rate of interest = 5.5 %

Time = t years

Maturity value = $ 5545

So,

Total interest earned =  $ 5545 - $ 4500 = $ 1045

And,

Simple interest = (Principal × Rate × Time ) / 100

So, Using the mentioned formula,

1045 = ( 4500 × 5.5 × t ) /100

1045 = 45 × 5.5 × t

⇒

t = (1045) / (45 × 5.5)

⇒ t = 4.22 years

Therefore, John invested the money at simple interest for 4.22 years.

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The formula for finding the area of the triangle ΔABC will be half of the product of the base and height. Then the formula is A = 1/2 x BC x  AD.

The area of the triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the triangle.

The triangle is given below,

We have

B = BC

H = AD

Then we have

A = 1/2 x BC x AD

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Answer:

he should check

3x and x

1/4 and 0.5

-m and 8m

-xy2 and 2xy2

Step-by-step explanation:

Answer:

The answer is A B C D H

Step-by-step explanation:

Answer:

Correct answer is B, 69.3 feet

Step-by-step explanation:

Since we have a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg, so the length of the shorter leg is 1/√3, or √3/3 times the length of the longer leg.

[tex]120( \frac{ \sqrt{3} }{3}) = 40 \sqrt{3} = 69.3[/tex]

Answer:

87.5 miles

Step-by-step explanation:

Distance between points = 3 1/2 × 25 = 87.5 miles

Answer:

0.9

Step-by-step explanation: