What is 11.3 divided by 3

Answer:

see below

Step-by-step explanation:

3²-5 = -5x-3

9-5 =- 5x-3

-5x = 7

so x= -7/5

The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

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Answer:

AA i think

Step-by-step explanation:

Answer:

Explanation:

Angles 2 and 61 are alternate interior; therefore, their measures are equal.

The angles 1 2 and 60 are supplementary (meaning they must add up to 180); therefore,

subtracting 1

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer:

give me your points

Step-by-step explanation:

c.

The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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Answer:

=−6x+1

Step-by-step explanation:

=3x+5+−7x+4+−2x+−8

=(3x+−7x+−2x)+(5+4+−8)

The product of given numbers is 60x³(x−3)²(x+2)

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra,

Multiply the numbers:

6x²x(x−3) * (x−3)10(x+2)

Multiply 6 and 10

60x²x(x−3) (x−3)(x+2)

Multiply x terms

60x³(x−3) (x−3)(x+2)

Multiply (x-3) terms

60x³(x−3)²(x+2)

So, the product of given numbers is 60x³(x−3)²(x+2)

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Answer:

The total number of students is > 160.

The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.

There are 1,600 students in the school.

Step-by-step explanation:

got is correct

Answer:

2,3,5 for eg. 2020

Step-by-step explanation:

The graph for the parabola h(x) = x² - 5 is plotted using it roots, vertex and y - intercept.

What is a parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

The equation of parabola is h(x) = x² - 5.

The quadratic function is in the form h(x) = ax² + bx + c, where -

a = 1

b = 0

c = -5

Therefore, the y-intercept occurs when x = 0 -

h(0) = (0)² - 5 = -5

So the y-intercept is (0, -5).

To find the roots, we set h(x) = 0 and solve for x -

x² - 5 = 0

x² = 5

x = ±√5

So the roots are x = √5 and x = -√5.

To find the vertex, we use the formula -

x = -b/2a

x = -(0)/(2(1))

x = 0

Now, substitute x = 0 into the function to find the corresponding y-value -

h(0) = (0)² - 5 = -5

So the vertex is at (0, -5).

Using this information the graph for the function is drawn.

Therefore, the y-intercept is (0, -5), the roots are x = √5 and x = -√5, and the vertex is at (0, -5).

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Answer:

B) in the modern art section of an art museum

Step-by-step explanation:

Hope it helps! =D

Answer:

I don't see a question, so it Imma answer how it seems.

It looks like it's B. x < -6.

(You can tell bc the circle is open and the arrow is pointing left.)

I think this is right

Step-by-step explanation:

Answer:

m<D = 105

Step-by-step explanation:

So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.

For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.

Anyways, since the two triangles are similar, they have the same angle measures, meaning that angle D can be found by subtracting 46 and 25 from 180 degrees to find the missing angle, which is 105 degrees. I hope that helps.

Answer:

m∠D = 29°

Step-by-step explanation:

First, notice that ΔSTU and ΔDEF are similar triangles.

For instance, for side ST and DE, the scale factor is:

\(\displaystyle k=\frac{6}{15}=\frac{2}{3}\)

Likewise, for TU and EF and SU and DF, the scale factor reamins that same:

\(\displaystyle \frac{10}{4}=\frac{2}{5}\text{ and } \frac{8}{20}=\frac{2}{5}\)

By SSS Similarity, ΔSTU ~ ΔDEF.

Note that our similarity statement states that ∠S corresponds to ∠D.

So, ∠S = ∠D.

Since the angles remain the same in a scaled factor and ∠S measures 29°, ∠D is also 29°.

Only table 1 represents the directly proportional relationship.

Given are the tables representing proportional relationship.

We can write the slope as -

{m} = (- 4 + 3)/(- 2 + 1) = 1

The equation will be -

y = x

Remaining tables does not show the direct variation.

Refer to the graph attached.

Therefore, only table 1 represents the directly proportional relationship.

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Answer:

log(ab)=loga+logb

•log26.35=log26+log35

B.log26+log35

Answer:

Step-by-step explanation:

hi , here is your answer !!

on multiplying

10x -5 = 6

=> x = 11/10

hope it help you !!

Answer: x= 11/10

Step-by-step explanation :Divide both sides by the numeric factor on the left side, then solve.

he polynomial x(5x² + 10x + 15), it is not completely factored, 5x² + 10x + 15 can still be factored into two binomials.

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Given the polynomial x(5x²+10x+15), it is not completely factored, 5x²+10x+15 can still be factored,

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Answer:

x = 21

y = 114

Step-by-step explanation:

From the picture attached,

Lines 'm' and 'l' are the parallel lines and a transversal line is intersecting this line.

Therefore, (3x - 15)° + (6x + 6)° = 180° [Sum of consecutive interior angles is 180°]

9x - 9 = 180°

9x = 189

x = 21

(y + 18)° = (6x + 6)° [Alternate interior angles are equal in measure]

y = 6x + 6 - 18

y = 6x - 12

y = 6(21) - 12

y = 126 - 12

y = 114  

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

Answer:

Lizzie practiced for 7 + 4 + 14 + 20 = 45 minutes on Thursday and Friday altogether.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

42x+588

Answer:

what is the question please ask properly

Answer:

volume = 3750 m³

Step-by-step explanation:

volume = length × width × height

volume = 50 m × 25 m × 3 m

volume = 3750 m³

the sum of the values of a and b such that f(x) = \(2ax^2 + bx + 3\) has a relative extremum at the point (-1,2) is 2.5.

If the function f(x) = \(2ax^2 + bx + 3\) has a relative extremum at the point (-1,2), then the derivative of the function must be zero at x = -1. This is because at a relative extremum, the slope of the tangent line is zero.

So, we need to find the derivative of f(x) and set it equal to zero at x = -1:

f'(x) = 4ax + b

f'(-1) = 4a(-1) + b = -4a + b = 0

Solving for b, we get:

b = 4a

Now, to find the sum of a and b, we just need to substitute b = 4a into the expression for f(x) and use the fact that f(-1) = 2:

f(x) = \(2ax^2 + bx + 3\)

f(-1) = \(2a(-1)^2 + b(-1) + 3 = 2\)

Substituting b = 4a, we get:

2a(1) - 4a + 3 = 2

2a - 4a + 3 = 2

-2a = -1

a = 1/2

Then, using b = 4a, we get:

b = 4(1/2) = 2

So, the sum of a and b is:

a + b = 1/2 + 2 = 2.5

Therefore, the sum of the values of a and b such that f(x) = \(2ax^2 + bx + 3\)has a relative extremum at the point (-1,2) is 2.5.

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Answer:

C) Pi

Step-by-step explanation:

Pi is an irrational number, it cannot be written down as non-infinite decimal, basically meaning that in order for it to be a rational number you need an approximate value for Pi.

The revenue function is R = 25q, the cost function is C = 2000 + 20q, and the profit function is P = 5q - 2000.

The revenue function in terms of quantity can be calculated as follows:

Revenue (R) = q x p

Where: "q" is the quantity of units sold

"p" is the price per unit

At the break even point:

10,000 = 400p

p = 25 birr per unit

At the break even point, the total cost is equal to the total revenue:

Total cost = Total revenue = 10,000 birr

Fixed cost = 2000 birr

Variable cost (VC) = Total cost - Fixed cost

VC = 10,000 - 2000 = 8000 birr

The cost function in terms of quantity can be expressed as:

Cost (C) = FC + VC x q

C = 2000 + 20q

The profit function can be calculated as the difference between revenue and cost:

Profit (P) = R - C

P = 25q - (2000 + 20q)

P = 5q - 2000

Therefore, the revenue function is R = 25q,

the cost function is C = 2000 + 20q, and

the profit function is P = 5q - 2000.

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