3/6 + 7/18. or basically how do I get the answer

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

Answer:

D) 10

Step-by-step explanation:

Singe a right triangle has to be 90 degrees, 60+(3*10)=90:)

therefore x=10

Answer:

D

Step-by-step explanation:

the angles 60 and 3x form a right angle , then

60 + 3x = 90 ( subtract 60 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10 → D

The angle B in the triangle is 67.5 degrees.

The sum of angles in a triangle is 180 degrees. A triangle is a polygon that three sides.

Therefore, let's find the angle B in the triangle as follows:

Hence, let's find x

2x + 3x + 3x  = 180

8x = 180

divide both sides of the equation by 8

x = 180 / 8

x = 22.5

Therefore,

angle B = 3(22.5)

angle B = 67.5 degrees.

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The probability of two events being not independent is denoted as p(b|a) or conditional probability. It represents the probability of event B occurring given that event A has already occurred.

Conditional probability, denoted as p(b|a), represents the probability of event B occurring given that event A has already occurred. It measures the dependence between two events. If the conditional probability p(b|a) is not equal to the marginal probability p(b), then the events A and B are not independent.

When two events are independent, the occurrence of one event does not affect the probability of the other event. In this case, p(b|a) would be equal to p(b), indicating that the probability of event B remains the same regardless of whether event A has occurred.

However, if p(b|a) is different from p(b), it suggests that the occurrence of event A influences the probability of event B. This indicates a dependence between the two events, and they are considered not independent.

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Answer:

6.5

Step-by-step explanation:

bc I just no plus or it's 5

Answer:

41 inches of wire will cost 164 cents.

Step-by-step explanation:

1st Method

Use proportions!

18/ 72 = 41/ c

Cross multiply

18 * c = 72 * 41

18c = 2952 divide both sides by 18

c = 164

2nd Method.

Find the rate of the costs. r = rate

18*r = 72

r = 4 cents/inch

Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!

41 inch * r (cents/inch)          inches cancels out.

41 * 4 = 164

164 cents

Answer: 1.29 x 104 lbs.

Step-by-step explanation:

4.23 x 103 lbs. and 8.7 x 103 lbs.

4.23 x 103 + 8.7 x 103 =

4.23 x 10^3 + 8.7 x 10^3 =

(4.23+8.7) x 10^3 =

(4.23+8.70) x 10^3 =

(12.93) x 10^3 =

1.293 x 10 x 10^3 =

1.293 x 10^1 x 10^3 =

1.293 x 10^(1+3) =

1.293 x 10^4 =

1.293 x 10^4 = 1.29 x 104 lbs.

The total weights of the two animals in scientific notation is

13.32 x 10² lbs

What is scientific notation ?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

According to the given question,

First animal weight 4.23 x 103 lbs

Second animal weigh 8.7 x 103 lbs

adding both the animal weights

= 4.23 x 103 + 8.7 x 103

= (4.23 + 8.7 ) x 103

= 12.93 x 103

= 1331.79 lbs

converting into scientific notation

= 13.3179 x 10² lbs  (rounding off)

≈ 13.32 x 10² lbs

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This is a cubic equation that can be solved numerically or graphically to find the value(s) of B. Once we have B, we can plug it into the equation for A and then use the conditions f(4) = 1 and f'(4) = 0 to verify that the critical point (4,1) is indeed a critical point of the function f(t).

To find the values of A and B, we need to use the first derivative test for critical points. We start by computing the derivative of f(t) with respect to t:

f'(t) = B(1 - 2At^2) / (1 + At^2)^2

Setting t = 4 and f'(4) = 0, we get:

0 = B(1 - 2A(4)^2) / (1 + A(4)^2)^2

Simplifying this expression, we get:

0 = B(1 - 32A) / (1 + 16A^2)^2

Since we want the critical point to be (4,1), we also have the condition:

f(4) = B(4) / (1 + A(4)^2) = 1

Multiplying both sides by (1 + A(4)^2), we get:

4B = 1 + A(4)^2

Now we have two equations with two unknowns (A and B), which we can solve simultaneously. Rearranging the second equation, we get:

A = sqrt((4B - 1) / 16)

Substituting this expression for A into the first equation, we get:

0 = B(1 - 2sqrt((4B - 1) / 16) * 16) / (1 + (sqrt((4B - 1) / 16))^2)^2

Simplifying this expression, we get:

0 = B(1 - 4sqrt(4B - 1)) / (1 + 4B - 2sqrt(4B - 1))^2

To solve for B, we can multiply both sides by the denominator and simplify:

0 = B(1 + 4B - 2sqrt(4B - 1))^2 - (1 - 4B)sqrt(4B - 1)

Expanding the square on the left and collecting like terms, we get:

0 = 16B^3 - 32B^2 + (16 + 2sqrt(4B - 1))B - sqrt(4B - 1)

This is a cubic equation that can be solved numerically or graphically to find the value(s) of B. Once we have B, we can plug it into the equation for A and then use the conditions f(4) = 1 and f'(4) = 0 to verify that the critical point (4,1) is indeed a critical point of the function f(t).

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Vertical shift: The entire function is raised by three units, which causes the graph of f(x) = x + 2 to be raised by three units to become f(x) = x + 2 + 3.

A function in mathematics is a relationship between a set of possible outputs (the range) and a set of inputs (the domain), with the property that each input is associated to exactly one outcome. A function, then, is a rule or a correspondence that links each input value to a certain output value. Equations like y = f(x) or f(x) = x2 + 3x, where y is the output, x is the input, and f is the function, are frequently used to denote functions. In many cases, the output values are referred to as the dependent variable and the input values as the independent variable.

given

The square root function, f(x) = x, is the parent function of the provided function. Three transformations are used to separate the given function from the parent function:

Horizontal shift: The square root function's expression is x + 2, which calls for a 2 unit left shift of the graph of f(x) = x to produce the graph of f(x) = x + 2.

Vertical shift: The entire function is raised by three units, which causes the graph of f(x) = x + 2 to be raised by three units to become f(x) = x + 2 + 3.

In conclusion, a horizontal shift of 2 units to the left, a vertical shift of 3 units upward, and a vertical stretch of 1 units are needed to construct the provided function from the parent function.

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Answer:

B: Using x and y factor results in an expression of greater value than using x and y as terms.

Step-by-step explanation:

For her first expression, x and y are factors;

xy

For her second expression, x and y are written as terms;

x + y

For x and y are both negative integers, then;

-x * -y = xy  ............... 1

-x + (-y) = - x - y

            = - (x + y)  .............. 2

Therefore, the value of x and y factors is greater than that when x and y are as terms. Thus the correct option is B.

The equation 8x - 4y = -4 have y as the subject to be equal to 2x + 1 expresses in terms of x.

To solve for y in the equation 8x - 4y = -4, we must make y the subject and it should be positive as follows;

8x - 4y = -4

add 4y to both sides

8x - 4y + 4y= -4 + 4y

8x = - 4 + 4y

also to make y the subject;

- 4 + 4y = 8x

add 4 to both sides

- 4 + 4 + 4y = 8x + 4

4y = 8x + 4

factorize the right hand side

4y = 4(2x + 1)

divide through by the coefficient of y

4y/4 = [4(2x + 1)]/4

y = 2x + 1

Hence, the equation 8x - 4y = -4 has y = 2x + 1

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The molar solubility of scandium fluoride can be calculated using the solubility product constant (Ksp) and stoichiometry. The molar solubility is approximately 7.61 × 10^(-9) mol/L.

The solubility product constant (Ksp) is an equilibrium constant that represents the equilibrium between a solid compound and its dissociated ions in a saturated solution.

For scandium fluoride (ScF3), the equilibrium can be represented as follows:

ScF3 (s) ⇌ Sc³⁺ (aq) + 3F⁻ (aq)

The solubility product expression for this equilibrium is:

Ksp = [Sc³⁺][F⁻]³

Given that the Ksp value for scandium fluoride is 5.8 × 10^(-24), we can use this information to calculate the molar solubility.

Step 1: Assign variables to the molar solubility.

Let x represent the molar solubility of ScF3 in mol/L.

Step 2: Write the equilibrium expression.

Since the stoichiometry of the reaction is 1:3, the equilibrium expression becomes:

Ksp = (x)(3x)³ = 27x⁴

Step 3: Substitute the Ksp value and solve for x.

Plugging in the Ksp value of 5.8 × 10^(-24), we have:

5.8 × 10^(-24) = 27x⁴

Step 4: Solve for x.

Taking the fourth root of both sides, we get:

x⁴ = (5.8 × 10^(-24))/27

x⁴ ≈ 7.61 × 10^(-26)

Taking the square root of both sides, we find:

x ≈ 7.61 × 10^(-9) mol/L

Therefore, the molar solubility of scandium fluoride is approximately 7.61 × 10^(-9) mol/L.

In summary, by using the solubility product constant (Ksp) and stoichiometry, we can calculate the molar solubility of scandium fluoride. In this case, the molar solubility is approximately 7.61 × 10^(-9) mol/L, indicating that scandium fluoride has a very low solubility in water.

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According to the question in order to raise $75 for charity, 75 pom poms must be sold.

Charity is an act of kindness and generosity towards those in need. It is a selfless act that is done without expecting anything in return. It can take many forms, such as donating money, volunteering time, giving food or clothing, providing emotional support, or helping those in need in any way possible. Charity is often seen as an important part of religious practice, which encourages people to give back to their communities and to those less fortunate. Charity is a powerful tool that can create positive social change, improve lives, and even help build bridges of understanding between people. It is an act that can bring hope and joy to those who are struggling and in need of help.

Each pom pom costs $1, so the booster club must sell 75 pom poms to raise $75 for charity. This is because for every $1 from the sale of a pom pom, $1 will be donated to charity. Thus, in order to raise $75 for charity, 75 pom poms must be sold.

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Answer:

nine divided by 2 plus negative eight

Step-by-step explanation:

9/2=4.5

4.5+(-8)= -3.5

Step-by-step explanation:

= 9/2 + -8/1

= 9/2 + 16/2

= 9 + (-16)/2

= -7/2

Solution:

This is a question on word problem.

We develop each statement into mathematical expressions.

Let the following letters represent the calls received for three evenings

The statements are written as equations below;

Substituting equations (3) and (2) in equation (1);

Substituting the value of c in equations (2) and (3) to get b and a respectively,

Therefore,

First evening = 14 phone calls

Second evening = 44 phone calls

Third evening = 22 phone calls

After 11 minutes, the angle between the hour's hand and the minute hand is 180°.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

A 12 hours roundabout simple clock shows 6 o'clock, with the hour hand pointing at 6, and the moment hand pointing at 12.

The angle between the hour hand and minute hand is 180°. Then the number of minutes is given as,

In each hour, the hour hand rotates 30°. Then in 8 hours, the hour hand rotation is calculated as,

⇒ 30° x 8

⇒ 240°

After 11 minutes the position of the hour hand is given as,

⇒ 240° + (11 / 60) x 30°

⇒ 240° + 5.5°

⇒ 245.5°

The rotation of the minute hand is given as,

⇒ (360° / 60) x 11

⇒ 66°

Then angle between the hour and the minute hand is calculated as,

Angle = 245.5° - 66°

Angle = 179.5°

Angle ≈ 180°

The number of minutes past 7 o'clock will be 11 minutes.

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Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Answer:

60cm and 100cm

Step-by-step explanation:

12 parts in total

240/12 is 20

each part is 20

3x20 is 60 and 5x20 is 100

Probability Theory

P (K) =\(\frac{n (K) }{n (S)}\)

P(K) : probability of selected K

n (K) : number of occurence of K

n (S) : number of all occurence

In question is not contain information about the number of students who curry a gun, knife, or other weapon and the number of all students. so, we can desribe that :

n (A) : the number of occurence of students who curry a gun

n (B) : the number of occurence of students who curry a knife

n (C) : the number of occurence of students who curry other weapon

and the number of all students is n ( A U B U C) -> union of sets

how many randomly selected student? in question, there is no specific about the student. so, we can answer with :

1) probability of students who curry a gun

P (A) = \(\frac{n (A) }{n (AUBUC)}\)

2) probability of students who curry a knife

P (B) = \(\frac{n (B) }{n (AUBUC)}\)

3) probability of students who curry other weapon

P (C) = \(\frac{n (C) }{n (AUBUC)}\)

and if question want to estimate with percentage, we can multiply with 100%. example :

1) percentage of probability of students who curry a gun

P (A) = \(\frac{n (A) }{n (AUBUC)}\) x 100%

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I think it's 28 units²

Answer:

1 pound = .73 dollars rounded.

Step-by-step explanation:

This is like a rate question. Speed is in miles / hour only the units for this question is pound / dollar.

pounds = 33

dollars = 45

1 pound is 33/45

1 pound = 0.73

Answer:

6

Step-by-step explanation:

2(3)=6

Answer:6

Step-by-step explanation:

2x3 is 6

Answer: (y − 0) = -(1/6)(x − 6)  or y=-(1/6)(x-6)

Step-by-step explanation:

An equation in Point Slope form:  y − y1 = m(x − x1), where m is the slope and x1 and y1 are provided as a single point, (x1,y1).  We have slope(m) = -(1/6) and are given (6,0).  Therefore:

 (y − 0) = -(1/6)(x − 6)  (Point slope form)

y = -(1/6)(x-6)

Rewriting this into standard form, y = mx + b

y = -(1/6)x + 1

Answer:

I think the answer is 1500

Step-by-step explanation:

 Elevation of the road at 5 miles from the starting point is 1250 ft.

Given in the question,

Two triangles formed by a road are ΔADE and ΔABC (As shown in the figure attached).

Since, ∠A ≅ ∠A (Reflexive property)

           ∠AED ≅ ∠ACB (right angles)

            ΔADE ~ ΔABC (By A-A property of similarity)

In these similar triangles, corresponding sides will be proportional.

\(\frac{AB}{BC}=\frac{AD}{DE}\)

\(\frac{8}{2000}=\frac{5}{DE}\)

\(DE=\frac{5\times 2000}{8}\)

      \(=1250\) miles

   Therefore, elevation of the road at 5 miles from the starting point will  be 1250 ft.

    Option (B) will be the answer.

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Answer:

\(t=1.8g\)

Step-by-step explanation:

When the tip increases the number of guests increases as well.

\(t =kg\)

k is the proportionality constant.

\(t=1.8g\)

Answer:

Its A

Step-by-step explanation:

I got you homie

Answer:

The numbers are 37, 39 and 41.

Step-by-step explanation:

Let the smallest number be \(x\\\).

Then the other numbers will be \(x+2, x+4\) (as they are consecutive odd numbers, their difference will be 2).

As per the given statement:

LHS(Left Hand Side) : Sum of five times the smaller number and twice the larger number.

i.e. five times the smaller number = \(5\times x\)

twice the larger number = \(2 \times (x+4)\)

Their sum:

The Left Hand Side becomes:

\(5x+2(x+4)\)

RHS(Right Hand Side):

33 more than six times the median number:

i.e. \(6\times(x+2) +33\)

Equating LHS and RHS:

\(5x+2(x+4) = 6x+12 +33\\\Rightarrow 7x+8=6x+47\\\Rightarrow \bold{x =37}\)

Therefore, the numbers are 37, 39 and 41.

     Percentage of students and percentage of teachers who preferred to go to aquarium were 20% and 50% respectively.

  Information given in the question,

Percentage of students who preferred to go to the aquarium

= \(\frac{\text{Number of students who preferred to go to aquarium}}{\text{Total number of students}}\times 100\)

= \(\frac{8\times 100}{40}\)

= 20%

Similarly, percentage of teachers who preferred to go to the aquarium

= \(\frac{5\times 100}{10}\)

= 50%

    Therefore, percentage of students and percentage of teachers who preferred to go to aquarium were 20% and 50% respectively.

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