help, please the question and thank you

The monthly rate of increase was about 2.06 percent.

If participation in the program increased exponentially by 25 percent, this means that the number of participants in the program at the end of the year was 1.25 times the number of participants at the beginning of the year.

To find the monthly rate of increase, we can use the formula for exponential growth:

N = N0 x e^(rt)

where N is the final number of participants, N0 is the initial number of participants, e is the mathematical constant approximately equal to 2.71828, r is the monthly rate of increase (expressed as a decimal), and t is the time in months.

If we assume that the program started at the beginning of the year and ended at the end of the year, then t = 12 (12 months in a year). We also know that N = 1.25N0 (25% increase).

Substituting these values into the formula, we get:

1.25N0 = N0 x e^(r x 12)

Simplifying, we get:

1.25 = e^(12r)

Taking the natural logarithm of both sides, we get:

ln(1.25) = 12r

Solving for r, we get:

r = ln(1.25)/12

r ≈ 0.0206

Therefore, the monthly rate of increase, expressed as a percent, is

approximately:

r x 100% ≈ 2.06%

So the monthly rate of increase was about 2.06 percent.

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The amount of money that Jeff should set aside each month for car insurance is $62.

Option A) is the correct answer.

An insurance is simply a contract in which an insurer indemnifies another against losses from specific possible future events.

Jeff's Monthy save will be;

= Total Amount / 12

Given that;

Savings per month = $744 / 12

Savings per month = $62

The amount of money that Jeff should set aside each month for car insurance is $62.

Option A) is the correct answer.

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Answer:

9) 1,2,3,6,9,18,27,54

10) 1, 2, 4, 5, 10, 20, 25, 50, 100

11) 1 , 3 , 5 , 15 , 25 and 75

12) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120

Answer

if there is 1 is considered to a half foot that would be the answer. if it is not considered as a half foot then the answer would be 6 inches- 1/2 of a foot

Step-by-step explanation:

Answer:

x = 53.15

Step-by-step explanation:

use Pythagoras theorem

first find for the triangle that has both sides given and then solve for the other

The y intercept of the equation is 11. It interprets that the baby weighs 11 pounds at the time of birth.

y-intercepts are when the line touches the y-axis. To find these, find the y when x = 0 in the equation. The point for a y-intercept will look like (0,y).

w = 11 + 2t

Putting t = 0, w = 11

y intercept of the equation is 11 pounds. Implying that, the baby weighed 11 pounds at time of birth i.e., at time of month 0.

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28°49€  arc unit into time is approximately 1.867 hours.

We'll convert the given angles from degrees, minutes, and seconds (or cents and euros as placeholders) to degrees in decimal form. Then, we'll convert the angle from arc units to time units.

a) 39°50¢
To convert 50¢ to degrees, divide by 60 (since 1 degree = 60 minutes):
50¢ / 60 = 0.8333 (rounded to four decimal places)

So, 39°50¢ in decimal form is:
39 + 0.8333 = 39.8333°

b) 42°35¢
To convert 35¢ to degrees:
35¢ / 60 = 0.5833 (rounded to four decimal places)

So, 42°35¢ in decimal form is:
42 + 0.5833 = 42.5833°

c) 15°20€
To convert 20€ to degrees (1 degree = 3600 seconds):
20€ / 3600 = 0.0056 (rounded to four decimal places)

So, 15°20€ in decimal form is:
15 + 0.0056 = 15.0056°

d) 1°59€
To convert 59€ to degrees:
59€ / 3600 = 0.0164 (rounded to four decimal places)

So, 1°59€ in decimal form is:
1 + 0.0164 = 1.0164°

Now, we'll convert 28°49€ from arc units to time units:
28°49€ = 28 + (49 / 3600) = 28.0136° (in decimal form)

To convert degrees to time units, multiply by 24 (since there are 24 hours in a day) and divide by 360 (since there are 360 degrees in a circle):

28.0136° * (24 / 360) = 1.867 (rounded to three decimal places)

So, 28°49€ in time units is approximately 1.867 hours.

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The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

True, the eventual success of any system solely depends on how users work with it.

A system's success is determined by various factors, such as its design, functionality, and compatibility with user needs.

However, user engagement, adaptability, and willingness to work with the system notably contribute to its success.

Users who understand the system's features and can efficiently adapt and utilize them in their workflow contribute to its overall effectiveness.

In contrast, a system with poor user adoption and engagement may not achieve its intended outcomes, regardless of its inherent quality.

So, even if a system is well-designed and has all the necessary features, if users are unable to effectively use it, the system will not achieve its intended purpose.

Thus, user adoption and effective usage are crucial for the success of any system.

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The number of carrots and potatoes that Mark will need for 3 servings will be 6 carrots and 3 potatoes.

It should be noted that an expression is simply used to show the relationship between the variables that are illustrated.

From the information, Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Therefore, to make 5 servings, he will need half of the carrots and potatoes. This will be 2 carrots and 1 potatoe.

Therefore, to make 15 servings, the total needed will be;

= (4 + 2 carrots) as (2 + 1 potatoes)

= 6 carrots and 3 potatoes

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Answer:

{t|60 <= t <= 85}

Step-by-step explanation:

The temperatures were measures at different times, but does not stop the values being real numbers (i.e. not discrete, or integer values).

So the range of the function is the set of all values between the minimum and maximum measured during the measuring interval (domain) of hours two and twenty-two.

The minimum value = 60F

The maximum value = 85F

So the interval of the range is [60,85], in interval notation.

In set-builder notation, it is

{t|60 <= t <= 85}

Answer:

x=8

Step-by-step explanation:

(3x-8)/1=4x/2. 3x-8=2x, x=8

Answer:

George gets 13 runs in the fifth game

Step-by-step explanation:

He gets x in the fifth game so, ( 23 · 4 + x ) + 5 = 21

So 92 + x = 105
    -92         -92

       x = 13

The value of x in the given diagram is determined as 6.

option D.

The value of x in the given diagram is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that the product of two segments of a chord is equal to the product of two segments of the second intersecting chord in a given circle.

So from the diagram we will have;

x(48 + x)  = 18(18)

48x + x² = 324

x² + 48x - 324 = 0

solve the quadratic equation by factorizing;

(x - 6)(x + 54) = 0

x = 6 or - 54

So the value of x = 6.

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Answer:

x= 3

y=2

Step-by-step explanation:

Let's solve your equation step-by-step.

2=4x−10

Step 1: Flip the equation.

4x−10=2

Step 2: Add 10 to both sides.

4x−10+10=2+10

4x=12

Step 3: Divide both sides by 4.

4x/4=12/4

x=3

Answer:

since y=2 substitute y into y=4x-10

2=4x-10

2+10=4x

12=4x

Divide both sides by 4

12/4=4x/4

x=3

Therefore the answer is (2,3)

y= 4x-10

2= 4×3-10

2= 12-10

2=2

Answer:

i think 90

Step-by-step explanation:

No of boys = 40%

let total no. of children be as "x"

now, 40% of x= 2x/5.

and since boys differ girls by 18.

no. of girl would be x-2x/5=3x/5.

now No. of boys= 2x/5

and no. of girls= 3x/5

no. of total children would then be as = 3x/5 - 2x/5= 18

The value of "X" would then be as = 90

To find no. of boys we would do 2x/5 X 90= 36

and no. of girls = 3x/5 X 90= 54.

to prove my answer 54-36= 18

Hope it helps C":

Suppose there are X children at the childcare.

Thus :

boys + girls = X

__________________________

40% of the children are boys .

Thus :

There are 40/100 × X boys .

So : boys = 0.4X (( Ω ))

__________________________

There are 18 more girls than boys

Thus :

girls - boys = 18

girls - ( 40/100 X ) = 18

girls - 0.4X = 18

Add sides 0.4X

girls - 0.4X + 0.4X = 18 + 0.4X

girls = 18 + 0.4X (( μ ))

__________________________

Now It's time to put (( μ ))

and (( Ω )) in the above equation.

boys + girls = X

0.4X + 18 + 0.4X = X

0.8X + 18 = X

Subtract sides 0.8X

- 0.8X + 0.8X + 18 = 1X - 0.8X

18 = 0.2X

0.2X = 18

Divided sides by 0.2 (( 2/10 ))

2/10 ÷ 2/10 × X = 18 ÷ 2/10

X = 18 × 10/2

X = 18 × 5

X = 90

Thus there are 90 children at the childcare.

Done.....♥️♥️♥️♥️♥️

Answer:  g(x) = (x-2)^2 + 1. Choice C

===========================================================

Explanation:

The graphs have the same shape, which means they have the same 'a' value.

In this case, a = 1.

The vertex of the red graph is (0,0).

The vertex of the blue parabola is (2, 1)

The red curve has been shifted 2 units to the right and 1 unit up.

Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.

Plug a = 1, h = 2 and k = 1 to get...

y = a(x-h)^2 + k

y = 1(x-2)^2 + 1

g(x) = (x-2)^2 + 1

Answer:

C.

Step-by-step explanation:

Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).

Answer:

12

Step-by-step explanation:

if I have 1 foot and I split it into 3 sections (1/3 of a sandwich) I would have 3 servings, because I have 4 feet I have to time 3 times 4, which equals 12

The length of the box in which the minimum energy of an electron is \(1.5*10^{-18}J\) is \(2 * 10^{-10}m\).

The kinetic energy of the electron is given as,

\(E_{n} = \frac{n^2h}{8ml^2}\)

For minimum energy, take n = 1

\(E_{min} = \frac{h}{8ml^2}\)

minimum energy of electron = \(1.5*10^{-18}J\)

value of plank constant = \(6.63*10^{-34} m^2kg/s\)

mass of electron = \(9.1*10^{-31} kg\)

Putting the values in the above formula,

\(1.5*10^{-18} = \frac{6.63*10^{-34}}{8*9.1*10^{-31}*l^2}\)

\(l = 2*10^{-10} m\)

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Answer:

y = a8×2+b√105+c

hope helps you

have a nice day

Answer:

A) \(33.66\)

Step-by-step explanation:

The sum of an infinite geometric series in the form of \(\displaystyle \sum_{n=0}^\infty ar^n\) is equivalent to \(\displaystyle S_{\infty}=\frac{a_1}{1-r}\) where \(r\) is the common ratio and \(a_1\) is the first term.

Hence, \(\displaystyle S_{\infty}=\frac{a_1}{1-r}=\frac{34}{1-(-0.01)}=\frac{34}{1.01}\approx33.66\)

Answer:

$48

Step-by-step explanation:

He will earn $16 interest for one year. After 3 years, that will triple to $48

Answer:

Yes, the sides are in the ration 2:5!

Step-by-step explanation:

Hope this helps.

Answer:

  The correct answer is B. Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

Hope this helps, and have a wonderful day! :)

Answer:

.84%

Step-by-step explanation:

Shaded portion gives the solution set of following in inequality.

What is inequality?

An inequality in mathematics is a relationship that allows us to contrast two (or more) mathematical expressions.

A difference between two values indicates whether one is more than, less than, or not equal to the other.

For example  The strict inequalities like

a > b - “greater than”,

a < b - “less than”.

They are called Strict inequalities, since in each case a and b are not equal.

Here y ≤ \(x^2-3\)

for the point (0, 0)

⇒ 0 ≤ 0 - 3

⇒ 0 ≤ -3

which is false thus region is opposite to origin

For y > \(x^2+2\)

⇒ 0 > \(0^2+2\)

⇒ 0 > 2

which is false thus the region is opposite to origin

Thus shaded portion is solution to given inequality

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The spring constant of the spring is k = 1.4 × 10⁴ N m⁻¹

Spring Constant is the measure of stiffness of a spring . The greater this constant , the more force will need to be applied to stretch or compress the string.

According to the question,

The mass of safe : m = 800kg

The height of high duty spring is 1.9 m

According to Hooke's law,

The force applied to a compress a string F is equal to the product of the spring constant k and the displacement of the string x

F= kx ------(1)

According to the Newton's law of motion,

The force of of an object F is equal to the product of the object's mass m and its acceleration a ,  which for a falling object is equal to the acceleration due to gravity

G =  9.8 m s⁻²

Therefore , F = ma =mg (using equation 1)

The force of the falling object is equal to the force applied to the spring => mg = kx

=> k = mg/x

substituting the values of m , x and g

=> k = (800)( 9.8) / 0.58

=> k = 1.4 × 10⁴ N m⁻¹

Hence , the spring constant of a spring is k = 1.4 × 10⁴ N m⁻¹

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The critical value approach specifies a region of values, called the critical region or rejection region. If the test statistic falls into this region, we reject the null hypothesis.

In hypothesis testing, the critical value approach is a method used to determine whether to reject or fail to reject the null hypothesis. This approach involves specifying a level of significance, alpha (α), which is the maximum probability of making a Type I error (rejecting the null hypothesis when it is true).

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The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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Answer:

Yes

Step-by-step explanation:

A whole number can be any number that doesn't have a decimal or fraction