fill in the blank in an ideal form, action research is a ______ in which the researcher is actively engaged with those experiencing the problem versus conducting research on them

The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost per cake = £54

15% of £54 = 0.15 x 54 = £8.1

Selling price = £54 + £8.1 = £62.1

Hence "The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1".

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Answer:

3(176)=$52,950

5(17650)=$35,300

5(17650)=$88,250

Step-by-step explanation:

x=17,650

do you need me to explain it

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

From the question, we have the following parameters that can be used in our computation:

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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(a) To determine the amount of water sprayed on the field at any time t, we need to integrate the rate function R(t) with respect to time t. This will give us the total amount of water sprayed up to that time t.

W(t) = ∫R(t) dt
W(t) = ∫(21t+5t) dt
W(t) = 11t^2 + C, Where C is the constant of integration. We need to determine the value of C by using the initial condition that at t=0, no water has been sprayed yet. Therefore, W(0) = 0. W(0) = 11(0)^2 + C
C = 0 , So the function that can be used to determine the amount of water sprayed on the field at any time t is:

W(t) = 11t^2, (b) To determine how much water has been sprayed on the field during the first 10 minutes, we need to evaluate W(t) from t=0 to t=10.
W(10) - W(0) = 11(10)^2 - 11(0)^2
W(10) - W(0) = 1100 gallons
Therefore, 1100 gallons of water have been sprayed on the field during the first 10 minutes.

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Answer:

63 + 10

Step-by-step explanation:

when you do parenthesis and the number is next to another one with no symbol you multiply so 4-2 = 2 2 x 5 = 10 giving you 63 + 10

A U.S. Treasury bond will sell at a premium to par when its coupon rate is greater than its yield to maturity. The intrinsic value of a company is inversely related to the discount rate (R) in the constant dividend growth model. The correct decision-making approach for the given project is to use the NPV rule to make the decision, while the IRR rule should not be used.

2. When a U.S. Treasury bond's coupon rate is higher than its yield to maturity, it indicates that the bond's interest payments (coupon) are higher than the prevailing market interest rates. This makes the bond more attractive to investors, causing it to sell at a premium to its par value.

3. In the constant dividend growth model, the intrinsic value of a company is calculated based on the expected dividends (D1) and the required rate of return (R). As the discount rate (R) increases, the present value of future dividends decreases, leading to a lower intrinsic value of the company.

4. The appropriate decision-making approach for the project is to use the Net Present Value (NPV) rule. NPV compares the present value of cash inflows and outflows using a discount rate. If the NPV is positive, the project is considered favorable and should be pursued. The Internal Rate of Return (IRR) rule is not applicable in this case because it may lead to inconsistent or misleading results when cash flows change signs.

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Answer: x = -33

Step-by-step explanation:

27 + 3 = 30

-3 - 30 = -33

Answer:

-33

Step-by-step explanation:

I already took it TwT

Rewriting the ratio as an equivalent ratio of 1 : m ; n is 1 : 12/7 : 17/7

From the question, we have the following parameters that can be used in our computation:

The height of three Russian dolls are in the ratio 7:12:17.

So, we have

Ratio = 7:12:17

The form is given as 1:m:n.

So, we divide through the ratio by 7

So, we have

Ratio = 1 : 12/7 : 17/7

Hence, the equivalent form is 1 : 12/7 : 17/7

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Answer:

$10.80

Step-by-step explanation:

90*0.12=10.8

The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment

The expression that represents the function in words is given as

StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1

Express the equation properly

So, we have

x^2/49 + (y + 1)^2/4 = 1

The above equation is an ellipse

Next, we plot the graph on a coordinate plane using a graphing tool

See attachment for the graph of the equation

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The answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

In this scenario, P(Z ≤ b) represents the cumulative probability of a standard normal distribution up to the value of b. To find the corresponding value of b, we need to find the z-score that corresponds to a cumulative probability of 0.0311.

By looking up the z-table or using a statistical calculator, we can find that the z-score corresponding to a cumulative probability of 0.0311 is approximately -1.865.

Therefore, the answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

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The value of the integral ∫ \(cos^7(x) dx\) is\((3\pi /32).\)

Wallis's formulas are used to evaluate integrals of the form:

∫ \(sin^{n(x)} cos^{m(x)} dx\)

where n and m are non-negative integers. We can use the trigonometric identity\(cos^{2(x)] + sin^{2(x)} = 1\) to convert the powers of cosine to powers of sine.

Here, we have m = 7, so we can use the identity \(cos^{2(x)} = 1 - sin^{2(x)}\) to write:

\(cos^{7(x)} = cos^{6(x)}\) × \(cos(x)\)

\(= (1 - sin^2(x))^3\) ×\(cos(x)\)

Now, we can use a substitution of \(u = sin(x), du = cos(x) dx\)to convert the integral to a form that can be evaluated using Wallis's formulas:

∫ \(cos^7(x) dx =\) ∫ \((1 - sin^2(x))^3\) × \(cos(x) dx\)

= ∫ \((1 - u^2)^3 du\)

Using Wallis's formulas, we have:

∫ \((1 - u^2)^3 du = (1/8)\)× β\((4, 4)\)

\(= (1/8)\) ×\([(3\pi /4) / sin(3\pi /4)]\)

\(= (3\pi /32)\)

Substituting \(u = sin(x)\), we have:

∫ \(cos^7(x) dx =\) ∫ \((1 - u^2)^3 du = (3π/32)\)

Therefore, the value of the integral ∫ \(cos^7(x) dx\) is \((3\pi /32).\)

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Dr. Brown used a randomized controlled trial (RCT) research design.

A randomized controlled trial (RCT) is a type of scientific experiment in which two or more groups of patients are subjected to various clinical treatments, interventions, or exposures. In an RCT, subjects are randomly allocated to either a treatment group or a control group, and the treatment group receives the new intervention being tested, while the control group receives the standard intervention or placebo.

Therefore, Dr. Brown used a randomized controlled trial (RCT) research design in which participants were randomly assigned to either the treatment condition or a comparison treatment condition, and their symptoms were measured before treatment, during treatment, and now 3-months post-treatment.

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Answer:

Cases will increase to 850 in half day

Step-by-step explanation:

Given

The number of reported cases increase from 60 to 75 in seven days (week)

rate of increase of cases = 75-60/7 = 15/7

Now, as per the exponential growth equation

\(P = P_0 * e^{r*t}\)

Substituting the given values we get

\(850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167\)

Taking log on both sides we get

15/7 * t = 1.15

t = 1.15 *7/15

t = 0.537 days = half day

The solutions of the given equation are 2 or -2

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

Given is an equation, x²+2 = 6

x²+2 = 6

Solving we get,

x²+2 = 6

x² = 6-2

x² = 4

x = ±2

Hence, there are two solutions of the equation 2 or -2

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Answer:

9,500

Step-by-step explanation:

first, remove the parentheses

1.2 x 10^3 + 8.3 x 10^3

Collect the like terms

take 1.2x10^3 + 8.3x10^3 and you will get 9.5 x 10^3

Evaluate the power of 10^3 = 1,000

then do 9.5x1000 = 9,500

Answer:

1468 in

Step-by-step explanation:

1) Find volume of entire figure

10*10*15=1500

2) Find volume of small piece that is cut out

2*4*4=32

3) Subtract smaller number from bigger number

1500-32=1468

Answer:

1,468 \(in^{3}\)

Step-by-step explanation:

Volume = length * base * height

Volume = 10 * 10 *15

10 * 10 *15 = 1500

To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.

4 * 4 * 2 =32

1500-32 = 1468 in^3

Since the exponential function is always positive, there is no solution for e^(-2t) = -1/6. This means that the derivative is never equal to zero, and there is no point of maximum steepness for this curve.

To find the point at which the curve is steepest, we need to find the maximum value of the derivative of the function. Let's start by finding the derivative of the given function:

y = 50 / (1 + 6e^(-2t))

To find the derivative, we can use the quotient rule:

y' = [50(0) - (1 + 6e^(-2t))(-12e^(-2t))]/(1 + 6e^(-2t))^2

Simplifying this expression, we get:

y' = (72e^(-2t))/(1 + 6e^(-2t))^2

To find the maximum point, we need to find the value of t for which the derivative is equal to 0. Setting y' = 0 and solving for t, we have:

(72e^(-2t))/(1 + 6e^(-2t))^2 = 0

Since the numerator cannot be zero, we focus on the denominator:

(1 + 6e^(-2t))^2 = 0

Taking the square root of both sides, we get:

1 + 6e^(-2t) = 0

Solving for e^(-2t), we have:

e^(-2t) = -1/6

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1) The rule of transformation is described as; A: A rotation 90° clockwise about the origin

2) The value of x is; 2

3) The value of x is 10

4) The slope of the line is; 2

1) The rule of transformation for When the point M (h, k) is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M' (k, -h). Thus, that is the rule here.

2) From the given image, we can tell that the angles 50° and 26x - 2 are corresponding angles. Thus, they are congruent and we have;

26x - 2 = 50

26x = 52

x = 2

3) From the given image, we can see that the given angles are supplementary and as such they add up to 180 degrees. Thus;

9x + 15 + 6x + 15 = 180

15x + 30 = 180

15x = 150

x = 10

4) Slope is;

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

m = (1 - (-3))/(1 - (-1))

m = 4/2

m = 2

5) Same question as the first one.

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Use the Law of Sines to find a:

Since both a and the angle A are unkowns, we need to find the measure of the angle opposite to the side A first. Notice that two of the interior angles of the triangle are given. Remember that the sum of the internal angles of every triangle must add up to 180º.

Then:

Then, the angle opposite to the side with length a has a measure of 50º.

Isolate a from the equation of the law of sines and replace A=50º to find the length a:

Therefore, to the nearest tenth, the length of a is equal to 44.1cm.

Answer:

A

Step-by-step explanation:

So timing a fraction with a fraction smaller by 1 means its a proper fraction.

And it can't get bigger than it already is because it's timing a less than 1 itself.

So it's A, it will be smaller

Answer:

See answer is Explanation

Step-by-step explanation:

4 divided by 25 is 0.16

6 divided by 25 is 0.24

6 x 4 = 24

4 x 25 = 100

6 x 25 = 150

Answer:

x=2

Step-by-step explanation:

Add 4 to both sides:

-2=-4+x​

-2+4=-4+4+x​

2=x

Answer:

\(x = 2\)

Step-by-step explanation:

First we must add 4 to both sides.

\(-2 = -4 + x\)

+4      +4

-4 + 4 = 0

-2 +4 = 2

Isolating a variable means that it is alone on its side of the eqation.

\(2 = x\)

x is now isolated and we also have the solution for it.

\(x = 2\)

Answer:

A;-6

B;-8

C;-2

D;-14

E;-1

F;2

G;5

H;0

Answer:

Step-by-step explanation:

l/100 km   means   liters per 100 Kilometre. How many liters a car need for traveling 100 km.

Km/l  means  liter per km

Answer:

Step-by-step explanation:

The missing angles in the given pair of lines AB and CD with transversals EF & GH intersecting at O & missing sides on the basis of similarity of triangles are:

∠IKF=w°=109°

JO=z=2.7 units

∠JLO=x°=39°

∠DLO=y°=141°

What is similarity?

If two forms or figures have an equal number of comparable sides and angles, they are said to be similar. Similar figures are those when two or more figures share the same shape but have varied sizes.

Given that

∠KIO=39°

∠IKO=71°

∠IOK=70°

IO=12 units

KO=8 units

LO=4 units

a)We know that ∠KIO=∠OLJ  {alternate interior angles}

∠KIO=∠OLJ=39°

∴x° = 39°

b)We know that ∠OLJ+∠OLD=180° {linear pair}

x°+y°=180°

39°+y°=180°

y°=180-39

y°=141°

c)We know that ∠IKO+∠IKF=180° {angles on straight line}

71°+w°=180°

w°=180-71

w°=109°

d)In ΔOKI and ΔOJL, we can see that

∠OIK=∠OLJ=39°

∠OKI=∠OJL=71°

∠KOI=∠JOL=70°

as the angles are congruent, we can say that ΔOKI and ΔOJL are similar.

∴Sides will be in same ratio

\(\frac{OI}{OL}\)  = \(\frac{OK}{OJ}\)  = \(\frac{KI}{JL}\)

Taking \(\frac{OI}{OL}\)  = \(\frac{OK}{OJ}\)

\(\frac{12}{4} = \frac{8}{z}\)

3z = 8

z =2.667

z≈2.7 units

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The probability that the system will function tomorrow is 0.2495 or 24.95%.

To find the probability that the system will function tomorrow, we need to find the probability that at least 4 out of the 6 components will function.

On a rainy day, the probability of 4 components functioning is given by:

P(rainy day and 4 components functioning) = C(6, 4) × (0.5)⁴ × (0.5)² = 15 × 0.0625 × 0.25 = 0.2344

On a non-rainy day, the probability of 4 components functioning is given by:

P(non-rainy day and 4 components functioning) = C(6, 4) × (0.8)⁴ × (0.2)² = 15 × 0.4096 × 0.04 = 0.2534

Now we can find the overall probability of the system functioning tomorrow by using the law of total probability:

P(system functioning tomorrow) = P(rainy day and 4 components functioning) × P(rain) + P(non-rainy day and 4 components functioning) × P(non-rain)

= 0.2344 × 0.20 + 0.2534 × 0.80

= 0.0468 + 0.2027

= 0.2495

Therefore, the probability that the system will function tomorrow is 0.2495 or 24.95%.

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--The given question is incomplete; the complete question is

"A k out of n system is one in which there is a group of n components, and the system will function if at least k of the components function. For a certain 4 out of 6 systems, assume that on a rainy day, each component has a probability of 0.5 of functioning and that on a non-rainy day, each component has a probability of 0.8 of functioning.

Assume that the probability of rain tomorrow is 0.20. What is the probability that the system will function tomorrow?"--

Answer:

3.4156020*10^-1 for scientific notation if you want to keep that ending zero (I'd normally write it 3.415602*10^-1)

Step-by-step explanation:

So the idea of scientific notation (or engineering notation) is to make things smaller and more manageable. The idea is to move the variables so that one is in front of the point.

So if you had something like this:

12342300000000000000

It'd be equal to 1.23423*10^19

Or something like this

0.0000095675

Would be 9.5675*10^-6