Jasmine is making more of the spray cleaner she only wants to use one cup of water how much of the spray cleaner will Jasmine make show your work​

Answer:

I believe the answer is 103.

Step-by-step explanation:

Since line a is parallel to line b, angle m1 = angle m3.

Supposedly, angle m4 + angle m5 = 180 degrees, since it's a line. That also means that angle m3 + angle m4 = 180 degrees too.

That means:

angle m4 + angle m5 = angle m3 + angle m4

Subtract angle m4 from both sides of the equation.

You get,

angle m5 = angle m3.

Angle m5 is 103, and as we stated earlier, angle m3 = angle m1.

Thus, angle m1 = 103 degrees.

Using the binomial distribution, the probability of at least 5 people in a population of 200 getting a virus with a probability of 0.02 is 0.1237. The probability of between 70 and 105 people in a population of 300 having a gene with a probability of 0.25 is 0.9189. The probability of rolling a 2 or 3 at least 6 and at most 10 times in 19 rolls of a fair die is 0.0065.

This scenario follows a binomial distribution with n=200 and p=0.02, where n is the number of trials and p is the probability of success. We want to find the probability of at least 5 people getting the virus, which can be written as P(X≥5). Using the binomial probability formula, we get:

P(X≥5) = 1 - P(X<5) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3) - P(X=4)

Using a binomial probability table or calculator, we can find the probabilities for each value of X:

P(X=0) = 0.9802, P(X=1) = 0.0392, P(X=2) = 0.0012, P(X=3) = 0.00003, P(X=4) = 0.0000006

Therefore,

P(X≥5) = 1 - (0.9802 + 0.0392 + 0.0012 + 0.00003 + 0.0000006) ≈ 0.038

So the probability that at least 5 people in a population of 200 get the virus is approximately 0.038.

This scenario follows a binomial distribution with n=300 and p=0.25. We want to find the probability that between 70 and 105 people have the gene, which can be written as:

P(70≤X≤105) = P(X≤105) - P(X<70)

Using a binomial probability table or calculator, we can find the probabilities for each value of X:

P(X<70) = 0.015, P(X≤105) = 0.999999999999997

Therefore,

P(70≤X≤105) = 0.999999999999997 - 0.015 ≈ 0.985

So the probability that between 70 and 105 people in a population of 300 have the gene is approximately 0.985.

This scenario follows a binomial distribution with n=19 and p=1/3, where p is the probability of getting either 2 or 3. We want to find the probability that the result is either 2 or 3 at least 6 and at most 10 times, which can be written as:

P(6≤X≤10) = P(X≤10) - P(X<6)

Using a binomial probability table or calculator, we can find the probabilities for each value of X:

P(X<6) = 0.778, P(X≤10) = 0.9999

Therefore,

P(6≤X≤10) = 0.9999 - 0.778 ≈ 0.221

So the probability that the result is either 2 or 3 at least 6 and at most 10 times in 19 rolls of a fair die is approximately 0.221.

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a. The perimeter of the triangle is 12+4√3

b. The area of the sector AOB and length of arc AB are 29.4 and 11.8 respectively

Arc length is defined as the distance along the part of the circumference of any circle or any curve (arc).

The perimeter of a shape is the addition of all the sides of a shape.

A sector is the space bounded by an arc and the radii of a circle.

a. The other two sides of the triangle is calculated as,

sin 30 = x/ 8

1/2 = x/8

x = 4

cos 30 = y/8

√3/2 = y/8

8√3 = 2y

y = 4√3

The perimeter of the triangle = 4+4√3+ 8

= 12+4√3 unit

b. The area of sector = (tetha)/360 × πr²

= 135/360 × 3.14× 5²

= 10597.5/360

= 29.4 unit²

The length of the arc = (tetha)/360 × 2πr

= 135/360 × 2 × 3.14 × 5

= 4239/360

= 11.8units

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Answer:

Step-by-step explanation:

the answer is 1/4

Answer:

point in original figure 2,4

point in final figure -4,2

Step-by-step explanation:

The value of PC is 40 when C is the circumcenter of triangle PQR.

Given that,

Consider the complete question is

C is the circumcenter of triangle PQR.

PC=3x-7

RC=5x-15 &

QC= 51-x

We have find the side PC.

A triangle's vertices are equidistance spaced from its circumcenter.

PC=RC=QC

RC=QC

5x-15= 51-x

5x+x= 51+15

6x=66

x=11

The value of x is 11.

We must determine PC's worth.

Substitute x=11 in the above equation.

PC= 3x+7

PC= 3(11)+7

PC=33+7

PC= 40

Therefore, The value of PC is 40 when C is the circumcenter of triangle PQR.

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If the initial value problem is \(y^{11} -8y^{1} -15y=0\) and \(y^{1}(0) =1\),y(0)=0 then y(t)=\((e^{3t} -e^{5t} )/2\).

Given the initial value problem be   \(y^{11} -8y^{1} -15y=0\)and  \(y^{1}(0) =1\),y(0)=0.

We are required to find the solution of the given initial value problem.

Laplace transform is an integral transformation that converts a function of a real variable to a function of a complex variable.

Take laplace on the DE, we get

\(s^{2}-sY(0)-y^{i}(0)-8[sY(s)-y(0)-15Y(s)]=0\)

\(s^{2}Y(s)-s(0)-1-8{sY(s)-0)}+15Y(s)=0\)

(Putting the values given in question)

Y(s)=(\(s^{2} -8s+15)-1=0\)

Y(s)=1/(\(s^{2} -8s+15\))

Simplifying the above:

=1/(\(s^{2} -5s-3s+15)\)

=1/[s(s-5)-3(s-5)]

=1/2 [1/(s-3)-1/(s-5)]

Taking inverse of the above we get,

y(t)=\((e^{3t} -e^{5t} )/2\)

Hence if the initial value problem is \(y^{11} -8y^{1} -15y=0\) and \(y^{1}(0) =1\),y(0)=0 then y(t)=\((e^{3t} -e^{5t} )/2\).

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1. F v (D → T)

2.  V F

3. D

∴ T

4. D → T (Disjunctive syllogism 1,2)

5. T          ( Modus Ponens 3,4)

2. P → (cu → T)

2. Q → (T → E)

3. P

4. Q

∴ Cu → E

5. Cu → T  (modus ponens 1,3)

6. T → E  ( modus ponens 2,4)

7. Cu → E (Hypothetical syllogism 5,6)

3. 1. ~ X → [~X → (y → X)]

   2. ~ X

   ∴ ~ y

  3. ~X → (y → X)   (modus ponens 1,2)

  4.  y → X              ( modus ponens 2,3)

  5. ~ y                     ( modus tollens 2,4)

4. 1. k → (L→m)

    2. m v k

    3. ~m

    ∴ ~L

    4. K   (disjunctive syllogism 2,3)

    5. L → m  (modus ponens 1,4)

    6. ~ L    (modus tollens 3,5)

5. 1. ~S → D

   2. ~S v (~D→K)

   3. ~ D

∴ K

  4. ~(~S)   (Modulas tollens 1,3)

  5. S          ( Double nojection 4)

  6. ~D→K (Disjunctive syllogism 2,5)

  7. K         (Modus ponenes 3,6)

Hence we get the required answer.

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Answer:

\(r = d \div 2 \\ to \: get \: the \: answer \: multiply \: \\ it \: by \: the \: perimeter \) r=4.997

Answer:

Answer attached

Step-by-step explanation:

Index is an element's numeric position within an array. The correct answer is B.

When an array is created, each element is assigned an index or position, starting from zero for the first element and incrementing by one for each subsequent element.

The index allows for easy access to specific elements within the array, by specifying the index value as an argument when referencing or manipulating elements. The index of an element is an important concept in computer programming and is used extensively in array-based data structures and algorithms.

Therefore the correct option is b

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Answer: \(162,520.588\)

Step-by-step explanation:

Given

The function \(y=15,000(1.1)^x\) models the cost of tuition fees after year 2000

In year 2025 that is 25 years after 2000, fees can be given as

\(\Rightarrow y=15,000(1.1)^{25}\\\Rightarrow y=15,000\times 10.834\\\Rightarrow y=162,520.588\)

Thus, the fees in year 2025 is \(162,520.588\).

The probability of picking the winning 4-digit number in a pick 4 lottery being \(\frac{1}{10000}\) means that for every 10,000 possible number combinations, there is only one combination that will match the winning number.

In a pick 4 lottery, you need to select a 4-digit number out of the available options. The total number of possible combinations is determined by the number of digits and the range of values for each digit. In this case, there are 10 options (0-9) for each digit, resulting in a total of 10,000 possible combinations (\(10^4\)).

The probability of picking the winning number can be calculated by dividing the number of favorable outcomes (which is 1, as there is only one winning combination) by the total number of possible outcomes (which is 10,000). Therefore, the probability of selecting the winning 4-digit number is 1/10,000.

This probability indicates that out of every 10,000 tickets sold or number combinations played, statistically, only one of them will match the winning number. It highlights the rarity of winning the lottery and emphasizes the long odds involved. It's important to note that each individual ticket or number combination has the same probability of winning, regardless of previous outcomes or patterns.

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Answer:

B

Step-by-step explanation:

(hx)(gx)

(2x+5)(3x+2)

6\(x^{2}\)+4x+15x+10

6\(x^{2}\)+19x+10

Answer B

Answer:

Volume of sphere = 44.57 cm³

Step-by-step explanation:

Given:

Diameter of sphere = 4.4 centimeter

Value of π = 3.14

Find:

Volume of sphere

Computation:

Radius of sphere = Diameter of sphere / 2

Radius of sphere = 4.4 / 2

Radius of sphere = 2.2 centimeter

Volume of sphere = [4/3][π][r³]

Volume of sphere = [4/3][3.14][2.2³]

Volume of sphere = [4/3][3.14][10.648]

Volume of sphere = [1.333][3.14][10.648]

Volume of sphere = 44.568

Volume of sphere = 44.57 cm³

Answer:

Domain is the whole R and the range is R+. The domain is continuous

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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The ring R is said to consist of all functions f(x) that have an expression of the form f(x).

The given ring of trigonometric polynomials, R, consists of all the functions that have an expression of the form f(x). The expression f(x) is defined as below:f(x) = a0 + a1cos(x) + b1sin(x) + a2cos(2x) + b2sin(2x) + a3cos(3x) + b3sin(3x) + … + ansin(n*x) + bnsin(n*x)where n is a non-negative integer, and the coefficients a0, a1, b1, a2, b2, a3, b3, an, and bn are real numbers.In this way, every element of R is expressed as a trigonometric polynomial, and every trigonometric polynomial belongs to R. So, the ring R is said to consist of all functions f(x) that have an expression of the form f(x).Hence, this is the required proof.

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The time needed to paint 3 rooms together is given as follows:

308.4 minutes.

The time needed is obtained applying the proportions in the context of the problem.

First we use the together rate, which is the sum of each separate rate, for the time needed to paint a single wall, hence:

1/x = 1/45 + 1/60

1/x = 7/180

7x = 180

x = 180/7

x = 25.7 minutes per wall.

The number of walls in 3 rooms is given as follows:

3 x 4 = 12 walls.

Thus the time needed to paint the 3 rooms is given as follows:

25.7 x 12 = 308.4 minutes.

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Answer:

8 + 4 = 12

12 x 3 = 36

36 divided by 2 = 18

18 x 2 = 36

9 x 3.7 = 33.3

33.3 x 2 = 66.6

9 x 8 = 72

4 x 9 = 36

Now lets add all given areas:

36 + 66.6 + 72 + 36 = 210.6 cm2 is your answer.

18000/x defines the gallons of the gas consumed by the old car in one year.

Step-by-step explanation:

If I purchase a car, I will definitely concentrate on a factor that is gas consumed by the car in a year.

As per statement given in the question if gas is $3.45 per gallon and I drive an average of 18000 miles per year.

If x miles per gallons is the average of the old car and y miles per gallons is the average of of new car.

Then total difference in gallons of the gas consumed by the old and new cars will be represented by the equation.

g(x) = 3.45 - 3.45

Here, 18000/x defines total number of gallons of the gas consumed by the old car in one year.

we have

1 cubic meter = 1000 L

x cubic meter = 415 L

then:

The volume of a cube with length x is:

answer: The smallest possible inside length of the tank is 0.746 m

The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.

The linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables.

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

Consider the slope of the line as m

m= Change in y coordinate / Change in x coordinate

When change in x coordinate is 1 unit

Then,

m= Change in y coordinate

If the change in x is 1 unit, then slope of the line will change depends on change in y coordinate

Hence, The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.

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Answer:

Statement                        Reasoning

LM=NO                             Given

∠LMO≅∠NOM.                 Given

OM=OM                            Reflexive Property of Equality

ΔLMO=ΔNOM                  SAS Congruence Postulate

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

the answer is -1

Step-by-step explanation:

h(-10) = -10 + 5 = - 5

g(h(-10)) = g(-5) = -5 + 4 = -1

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Answer:

B

Step-by-step explanation: