Help? Question is above. 12 points

Answer:

The inequality 15m + 120 ≥ 200 represents the situation.

Step-by-step explanation:

Given that:

Diego started savings account with $120.

Amount deposited each month = $15

Number of months = m

The least balance he wants to have = $200

Amount deposited each month * No. of months + Amount deposited at start ≥ Least amount of balance

15*m + 120 ≥ 200

15m + 120 ≥ 200

Hence,

The inequality 15m + 120 ≥ 200 represents the situation.

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Function f(x)  is 2/9.

f(-2) for f(x) = 2 • 3^x is 2/9.

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In part b of this question, they are asking for the function notation that represents each statement.

So, first, what is function notation?

Well, I will show you an example:

For part b) i, we need to write the function notation of the area of a circle whose radius is 2.64 cm,

The area of any circle is given by the following formula:

in this problem we are told that r = 2.64 cm, therefore, A, in function notation, when r=2.64cm, will be the following:

Now, let's see part b) ii.

in part a, you already defined what a function for that matter would look like, so we just need to replace A = 1370 cm^2

so, the function notation form that would define it, is

or

g(1370) = sqrt(1370/pi)

If you are trying to factor it is 14(3a+b).

But if you are looking for the greatest common factor it is 14.

The GCF of  42a + 14b is 14 which is 14(3a + b).

GCF stands for the greatest common factor of two or more two given terms. A number is GCF of two or more than two terms is the highest term that divides the given terms completely.

Given,  42a + 14b and we have to factor this with a GCF.

In terms of variables a and b, there is no common factor.

In terms of 14 and 42 GCF is 14 as 14 is the highest no. that divides these two nos. completely.

So, 42a + 14b.

= 14(3a + b).

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Note that where the following values are given: 0, 3, 4, 6, 9, 10, 11, 12, 16, the respective quartile values are:

The minimum = 0

The first quartile (Q₁) is = 3.5

The median (Q₂) = 9

The third quartile (Q₃) = 11.5

The maximum = 16

The IQR = 8 .

The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory.

It is to be noted that sometimes referred to as "the middle" value in data collection.

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Answer:

6

Step-by-step explanation:

Input Data :

Point 1  ( x A , y A )  = (-1, 6)

Point 2  ( x B, y B )  = (5, 6)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =  √ ( x B − x A ) 2 + ( yB −y A ) 2

Solution :

Distance between two points =  √ ( 5 −  − 1 ) 2 + ( 6 − 6 ) 2

=  √ 6 ^2 +0^ 2

=  √ 36 + 0

=  √ 36 = 6

Distance between points (-1, 6) and (5, 6) is 6

Answer:

46.2 degrees

Step-by-step explanation:

Use arcsin function (make sure calculator is in degree mode) and perform

\(sin^{-1} (\frac{13}{18} )\\=Angle\)

=46.2 degrees

Answer:

The graph below shows the answer to

2x - 3y < 12

Also shown as

-3y < -2x + 12

Step-by-step explanation:

You can rearrange the inequality by subtracting 2x from both sides to isolate the y.

You now have -3y < 12 -2x

which can be put into the standard linear equation form of

-3y < -2x + 12

Then you divide both sides by -3 to get singular value of y, which is something like

-3/-3y < -2/-3x + 12/-3

which is

y > 2/3x -4

Note: I switched direction of the inequality because you are dividing both sides by a negative value.

Answer:

C. Both A and B are solutions to the equation

Step-by-step explanation:

A negative number sqaured is positive.

Answer:

D

Step-by-step explanation:

It is D because the correct awnser is X=4

Answer:

3 mi of fencing would be required to enclose this field.

Step-by-step explanation:

Here we are finding the perimeter of a field with given length and width.  We apply the perimeter formula P = 2L + 2W.  Substituting the given dimensions, we get:

P = 2(1 mi) + 2(0.5 mi), or

P = 2 mi + 1 mi = 3 mi

3 mi of fencing would be required to enclose this field.

Answer:

15840 feet of fencing = Perimeter = 15840ft

However, if fencing is 6ft or 10ft we need to divide by the length of each fence for panels.

See bold.

Step-by-step explanation:

6ft fencing = 5280/6 = 880 fences one length

880 x 2 = 1760 6ft fences 2 sides

0.5 x 1760 = 880

1760+ 880 = 2640 fences each 6ft

Total feet of fence = 2640 x 6 =15840 feet of fencing

The domain of the function is given as -4√2 and 4√2

the length of the sides is 8cm

The area of this square is given as 8 x 8 = 64

each shaded triangle is a right angled triangle

1/2 *x*x = x²/2

Since we have 4 triangles we would have

4x²/2

When the triangles are cut the area would be

A = 64 - 2x²

such that 64 = 2x²

x² = 32

domain would be x =  ± √32

-4√2 , 4√2

b. The solution to the graph is contained in the image that i have attached.

c. The length of each of the sides would be √64. Remember that this is a square.

Hence the length is = 8

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Answer: A horseshoe weighs 8.2 ounces The nails in the horseshoe weigh 0.12 ounces.

Step-by-step explanation: B should be your answer have a great day :)

Answer:

B

Step-by-step explanation:

i did 8.2 divided by 20 percent ( .2)

then subtracted

equal 6.56

Answer:

Yes

Step-by-step explanation:

-6 is a solution

Any point that is on the blue line is a solution

Answer:

0

Step-by-step explanation:

\(\frac{x-2}{x-4}=-1, x \neq 3 \\ \\ x-2=-x+4 \\ \\ 2x=6 \\ \\ x=3\)

This contradicts the domain restriction, so there are no real solutions.

Answer: 0

Step-by-step explanation:

The correct option that can be used to prove that ∠ABC = ∠FDE is option (A). It is done using rules of congruency.

What is meant by congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

For the construction of the congruent angle, the compass measurement used is the same for both figures.

Now we draw a line through points A and C and another line through points F and E.

We can then say that

AB = FD

BC = DE

CA = EF

These are the sides of the triangles ΔABC and ΔFDE

As all sides are equal, we can say that

ΔABC ≅ ΔFDE by SSS congruency rule.

Now CPCTC rule says that "corresponding parts of congruent triangles are congruent". This means that the corresponding angles and sides of two or more triangles must also be identical in order for them to be considered congruent.

So ∠ABC ≅ ∠FDE by CPCTC as they are corresponding angles.

Therefore the correct congruency rules that can be used to prove that

∠ABC = ∠FDE is option (A).

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Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

Answer:

The value of a and b is given. All u hv to do is just place the values in the places of a and b. The value of a= 3.1 and b= 7.3.

5i) a+b

     3.1+7.3

     =10.4

ii) b-a

   7.3-3.1

    =4.2

5 and 6 are both similar. Just place the numbers instead of the letters

6i) x+y

    5+7

    =12

ii) y-x

   7-5

   =2

iii) x/y

    5/7

    =0.714

There u go :D

Answer:

Step-by-step explanation:

Answer:

2508

Step-by-step explanation:

We are given that

Principal ,P=2200

Rate of interest, r=7%

Time, t=2 year

We have to find the final account balance after two years.

\(S.I=\frac{P\times r\times t}{100}\)

Using the formula

\(S.I=\frac{2200\times 7\times 2}{100}=308\)

Amount=P+S.I

Amount=2200+308

Amount=2508

Hence,  the final account balance after two years=2508

This process that Jillian used is called the Countermatching algorithm which is a method of adding and subtracting integers.

The Countermatching algorithm

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Answer:

Step-by-step explanation:

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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Answer:

Rate = 72 km per hour
Distance traveled in 2 hours = 144 km

Step-by-step explanation:

The car speed is given as 20 meters per second

There are 3600 seconds in an hour

So in 1 hour the car would travel 20 x 3600 = 72,000 meters. This is equivalent to 72,000 meters per hour

There are 1000 meters in a kilometer

So, in terms of kilometers, the car would travel 72,000/1000 = 72 km i one hour. This is equivalent to a speed of 72 km per hour

In 2 hours the car would travel 72 x 2 = 144 km

The number of kilometers represented by 8cm is 80km.

According tot he question we have been the proportion of scaling on the map which is as follows:

                             1 cm : 10 km   or it is also written as   1cm/10km

We need to find the number of kilometers represented by 8 cm

Let the number of kilometers that we need to find be x km. Mathematically the proportion can be written as

                              8 cm : x km     or it is written as    8cm / x km

Also both the proportion will be equivalent. Therefore, the proportion is equal to

                              1/10 = 8/x

we will solve this for x, we get

                                x = 8*10

                                x = 80 km

Hence the number of kilometers represented by 8cm is 80 km

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A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Answer:

$3806

Step-by-step explanation:

  230.0

    56.0

+   19.50

  305.50

305.5x12=3666

35x4=140

3666+140=3806

Using simple algebra, Pete has 16 cats.

Let's name Pete's total number of cats "c" and his total number of dogs "d." Pete has five more dogs than cats, according to what is known. So that we may create the equation:

d = 1/4c + 5

We also know that Pete owns a total of 20 animals. So, given the total number of pets, we can create another equation as follows:

c + d = 20

The first equation can now be changed for the second equation:

c + (1/4c + 5) = 20

When we solve this equation for c, we obtain:

c = 20 - 1/4c - 5

4c = 80 - c

5c = 80

c = 16

Pete owns 16 cats, therefore.

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Answer:

3.573 ⋅ 0.5108 ⋅ 0.5

Step-by-step explanation:

The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".