subtract the sum of 9t*3-3t+8 and t*2-8t+4 from the sum of 12t+8 and t*2 - 10t +3.​

The opposite of |3| = - |3|

What is Modulus Function?

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

Given data ,

Let the number be x

x = |3|

Now , the opposite of the number x = -x

So ,

The opposite of |x| = -|x|

And ,

The opposite of |3| = - |3|

Hence , The opposite of |3| = - |3|

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Answer:

8 bracelets can be made from given beads.

Step-by-step explanation:

To make similar bracelets using all the beads, we have to find the highest common factor of no of beads

Factors of 72 => 1, 2, 3, 4, 6, 8 , 9, 12, 18, 24, 36, 72

Factors of 32=> 1 , 2, 4 , 8 , 16 , 32

Observing this data, HCF of 72and 32 will be 8.

Therefore, total 8 bracelets can be made from given beads.

Answer:

1/24 yd

Step-by-step explanation:

Since he cut the wire into 4 pieces of equal length, each piece is 1/4 the length of the original piece.

1/4 of 1/6 of a yd

1/4 × 1/6 yd = 1/24 yd

x>-8

look at the image below for the graph answer.

Answer:

The area of one face of the cube is 25 square inches.

Step-by-step explana

Consumidores secundarios are organisms in an ecosystem that feed on primary consumers, which in turn feed on producers.

They occupy the second trophic level in a food chain or food web.

The regular selling price of each pizza is $13.60.

Given that, Giuseppe’s buys supplies to make pizzas for $4.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

According to question,

Regular selling price = Cost price × (Operating expenses + Profit +1)

Cost price =$4

Operating expenses = 110% or 1.1

Profit = 130% or 1.3

Thus, regular selling price =$4 × (1.1 +1.3 +1)

Regular selling price  =$4 × 3.4

Regular selling price  = $13.60

Therefore, the regular selling price of each pizza is $13.60.

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Respuesta: 10

Solución paso a paso:

Si x es 1, eso significa que el x en la ecuación es 1. Entonces, cambiamos la x por 1, entonces nos quedamos con:

y = 2(1) + 8

Si evalúas esto, te quedas con 10.

Step-by-step explanation:

the first box is linear since when you add it to (x,y) it gives a straight line

The number of rotations will be the ratio of the total distance traveled to the distance traveled in one rotation thus the total rotation to cover 20 feet will be 7.64.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

The longest line which can be drawn inside the circle will be the diameter.

The number of rotations will be the ratio of the total distance traveled to the distance traveled in one rotation.

Distance traveled in one rotation = Perimeter of the wheel.

⇒ 2π(5) = 31.42 inches

The number of rotations = (20×12)/31.42 = 7.63

Hence "The number of rotations will be the ratio of the total distance traveled to the distance traveled in one rotation thus the total rotation to cover 20 feet will be 7.64".

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The cups of giardia-laced lemonade that Wiyot will have sold by the time his parents get a call from county health officials on day 8 is 75 cups.

From the information, Wiyot sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up.

This is an arithmetic sequence and will be expressed as:

= a + (n - 1)d

a = first term = 33

d = common difference = 6

n = 8

This will be:

= a + (n - 1)d

= 33 + (8 - 1)6

= 33 + (7 × 6)

= 33 + 42

= 75

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Answer:

46

Step-by-step explanation:

What is 12 more than 34?

We are looking for a new number which is 12 more than 34.

We will get the new number by adding 12 to 34.

We write it down as:

34+12=46

And finally the solution for: What number is 12 more than 34?

is 46

The total cost for Bolt Electric Company and Zap Electric Company are y = 0.12r + 2.83 and y = 0.06r + 6.55 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

Let r represent the number of kilowatt hours you use in one month, and let y represent the total cost of your electric service.

The Bolt Electric Company charges $0. 12 per kilowatt hour plus a $2.83 monthly service fee. Hence:

y = 0.12r + 2.83

The Zap Electric Company charges $0.06 per kilowatt hour plus a $6.55 monthly service fee. Hence:

y = 0.06r + 6.55

The cost is y = 0.06r + 6.55 and y = 0.12r + 2.83

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The area of triangle A, rectangle B and the whole figure are 12, 54 and 66 square units respectively.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.

Area of rectangle:   The area of a rectangle is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

Area of triangle: The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Here we have a diagram PQRTS comprising the triangle PQT and rectangle QRTS.

Given:   PS = 9 units & QR = 5 units  

         ⇒ PT = 4 units, RS = QT= 6 units

The area of ΔPQT= M = 1/2*b*h = 1/2*PT*QT

                     ⇒  M= 1/2*4*6=12 square units

                     ⇒  M = 12 square units

Now, the area of rectangle QRTS = N = l*b = QT*TS = 6*9 = 54 square units

                     ⇒ N = 54 square units

Now, the area of whole diagram = area of triangle A + area of rectangle B

       ⇒ M + N = (12 + 54)square units = 66 square units.

       ⇒ Area of whole figure  = 66 square units.

Therefore, the area of triangle A, rectangle B and the whole figure were found to be 12, 54 and 66 square units respectively.

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Number of people in a room  is the discreate data .

Data that only accepts specific values is referred to as discrete data or discrete values. This type of data, which can be counted and has a finite number of values, is frequently expressed as whole numbers or integers.

Information that only has a limited range of values is said to be discrete. These values don't have to be whole numbers (a child's shoe size might be 3.5 or a company's profit might be £3456.25), but they must be fixed values; a child's shoe size cannot be 3.72!

Discrete means "made up of individual, separate units" (not to be confused with "discreet," a completely different word that just so happens to sound similar). Discrete entities, such as logical statements and (obviously) integers, are the focus of discrete mathematics.

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The solution to the questions are:

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

Length = 350 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

A = (350 - 2x) * x

Evaluate

A = 350x - 2x²

Differentiate and set to 0

350 - 4x = 0

So, we have

4x = 350

Divide by 4

x = 87.5

Recall that

Length = 350 - 2x

So, we have

Length = 350 - 2 x 87.5

Evaluate

Length = 175

The area is then calculated as

Area = Length x Width

So, we have

Area = 175 x 87.5

Evaluate

Area = 15312.5 square meters

Hence, the area is 15312.5 square meters

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Answer:

x=4

Step-by-step explanation:

Square root of four equals 2 then +2 = 4

Answer:

b. 0.64 and 64/100

Step-by-step explanation:

hope this helps!!

Answer: B.) 0.64 and 64/100

Step-by-step explanation:

A percentage is x/100

For example, 4% = 4/100.

So 64% = 64/100

64/100 = 0.64

Answer:

Step-by-step explanation:

-3x -9 graph negative -3 then graph 9 add them together to get negative 12

Answer:

Step-by-step explanation:

Answer:

[tex]x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}[/tex]

Step-by-step explanation:

Given quadratic equation:

[tex]y = x^2 - 6x+7[/tex]

To complete the square, begin by adding and subtracting the square of half the coefficient of the term in x:

[tex]\implies y = x^2 - 6x+\left(\dfrac{-6}{2}\right)^2-\left(\dfrac{-6}{2}\right)^2+7[/tex]

[tex]\implies y = x^2 - 6x+\left(-3\right)^2-\left(-3\right)^2+7[/tex]

[tex]\implies y = x^2 - 6x+9-9+7[/tex]

Factor the perfect square trinomial:

[tex]\implies y=(x-3)^2-9+7[/tex]

[tex]\implies y=(x-3)^2-2[/tex]

To solve the quadratic, set it to zero and solve for x:

[tex]\implies (x-3)^2-2=0[/tex]

[tex]\implies (x-3)^2-2+2=0+2[/tex]

[tex]\implies (x-3)^2=2[/tex]

[tex]\implies \sqrt{(x-3)^2}=\sqrt{2}[/tex]

[tex]\implies x-3= \pm\sqrt{2}[/tex]

[tex]\implies x-3+3= 3\pm\sqrt{2}[/tex]

[tex]\implies x= 3\pm\sqrt{2}[/tex]

Therefore, the solution to the given quadratic equation is:

[tex]x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}[/tex]

If the length of the string, l, is increased, the period will; Increase

The time period of a simple pendulum is given by the formula;

t = 2π√(l/g)

Where;

t is time period

l is length of the string

g is acceleration due to gravity.

We can see from the equation above that for simple pendulum, time period is directly proportional to length of the string; (t ∝ l ).

However, we see that the time period is inversely proportional to acceleration due to gravity ( t ∝ 1/g) .

Now, as we are told, If length(l) of the string is increased, then it means that the time period (t) of the pendulum will also increase.

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The required compound inequality is given as 5 < x < 25.

Given that,
To determine a compound inequality to represent a budget to spend between $5 and $25 at Starbucks in a month.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let x be the amount to be spend at Starbucks in a month,
According to the question,
X should not be less than 5 and should not be greater than 25,
So X > 5 and x < 25
Compounding the above inequalities,
5 < x < 25

Thus, the required compound inequality is given as 5 < x < 25.

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The function has a maximum value of 30 at x = 3

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

F(x) = -3x²+18x+3

This can be expressed properly as

F(x) = -3x² + 18x + 3

A quadratic function is represented as

F(x) = ax² + bx + 3

By comparison, we have

a = -3

For a quadratic function to have a maximum value, the value of a must be less than 0

This means that the function has a maximum value because -3 is less than 0

Solving further, we have

F(x) = -3x² + 18x + 3

Differentiate and set to 0

-6x + 18 = 0

So, we have

x = 3

Substitute x = 3 in F(x)

F(3) = -3(3)² + 18(3) + 3

Evaluate

F(3) = 30

This represents the maximum value

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The annual percentage yield (APY) of Russ is 4.39 %

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

Given data ,

Deposit amount of Russ = $ 4500

Interest rate R = 4.3 %

And it is given that the interest rate is compounded daily , so

Interest rate R = 4.3 % / 365

                        = 0.043 / 365

                        = 0.0001178

Now , The annual percentage yield (APY) is calculated as

The interest amount = 4500 x ( 1 + 0.0001178 )³⁶⁵

                                  = 4500 x ( 1.0001178 )³⁶⁵

                                  = 4500 x 1.04393211

                                  = 4697.694

                                  ≈ 4697.69

Therefore , the interest will be

= 4697.69 - 4500

= $ 197.69

Now , the annual percentage yield (APY) is given by

= Interest / Deposit

= 197.69 / 4500

= 0.0439

≈ 4.39 %

Hence , annual percentage yield (APY) of Russ is 4.39 %

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Answer:

I hope it will be helpful for you.

1.

2.

A dilation occurs when each of the side lengths of an image are multiplied by a constant, which is called scale factor.

For item a, the scale factor is of:

12/4 = 3.

The scale factor is greater than 1, hence it represents an enlargement, and the missing values are found multiplying the equivalent sides by 3, hence:

For item b, the scale factor is of:

5/12 = 0.4167.

The scale factor is less than 1, hence it is a reduction, and the missing value is of:

x = 6 x 0.4167 = 2.5.

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Answer:

.25 * 5 = 1.25

.1    * 2 =  . 2

              1.45

Step-by-step explanation:

The probability for the given case is 5/23.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

Total number of students is 29.

The students who play instrument are 23.

Those who play a sport are 9.

And, those who play both are 5.

Given problem is the case of conditional probability which can be solved by Bayes's theorem as,

P(A|B) = P(A ∩ B) / P(B)

Suppose, A be the event the students play instrument.

B be the event the students play a sport.

And, A ∩ B is the event they play th both.

Then A|B implies the event when a student play instrument given he plays sport.

Apply the rule of probability in the equation for Bayes's theorem to get,

P(A|B) = (5/29) / (23/29)

          = 5/23

Hence, the probability that a student plays an instrument given that they play a sport is 5/23.

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1.    in this exercise you  must substitute the value of  of x = 12  in the equation of the parable given, if the result is 10 then the ball pass through the hoop

2.    Y = (-.125)(12)^2+ (1.84)(12)+6 = -18+22.08+6 = 10.06≅10 , of  this form it is demonstrated, that the ball pass through the  hoop

Answer:it will be D

Step-by-step explanation: because $100 + 4%=$100.4