Can someone help me please

Can Someone Help Me Please

Answers

Answer 1

The row operation is given as follows:

Division by 7 = multiplication by 1/7.

The matrix after the row operation is then given as follows:

[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]

How to do the row operation?

The matrix in the context of this problem is defined as follows:

[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]

The element at row 1 and column 1 is given as follows:

7.

An example of a valid row operation is the multiplication of the row by a constant, and as the element has a value of 7, the constant to obtain a value of 1 is:

7/k = 1

k = 7.

The first row is given as follows:

7, -4 and 8.

Dividing every element of the first row by 7, the resulting matrix is then given as follows:

[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]

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Related Questions

The simplest form of log5+log6-log2​

Answers

The simplest form of log5+log6-log2​ is:  log15.

What is the simplest form?

Let us simplify log5 + log6 - log2 by making use  logarithmic rules:

log a + log b = log (ab)

log a - log b = log (a/b)

So,

log5 + log6 - log2

= log (5 x 6) - log2

= log30 - log2

Now let make use of the  logarithmic rule:

log a - log b = log (a/b) = log a - log b

log30 - log2

= log (30/2)

= log15

Therefore the simplest form is log15.

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I Need help with this question

Answers

Answer:

The answer is A.

Step-by-step explanation:

For this graph, you are using the linear equation formula: y = mx + b

m is the slope (rise/run)b is the y-intercept (where the line crosses zero at the y-intercept)

Graph the feasible region and find the values of x and y that give the maximum possible value of g=8x+12y subject to the following constraints.

Answers

The feasible region on the attached graph of the inequalities created with MS Excel indicates that the maximum value of g = 8·x + 12·y is 100

What is an inequality?

The feasible region is the region on the graph of the inequalities that satisfies the specified constraints.

The specified equations obtained from the constraints in slope intercept form are;

y = -0.5·x + 7; The region below the graph is shaded

y = -0.75·x + 9; The region below the graph is shaded

x = 0; The region to the right of the line x = 0 is shaded

y = 0; The region above the line y = 0 is shaded

The point of intersection of the graphs can be found from the equation; -0.5·x + 7 = -0.75·x + 9

Which indicates that at the intersection, x = 8, and y = -0.5×8 + 7 = 3

The corner points are; (0, 0), (0, 7), (8, 3), (12, 0)

The value of the function g for each of the feasible region are therefore;

g(0, 0) = 8 × 0 + 12 × 0 = 0

g(0, 7) = 8 × 0 + 12 × 7 = 84

g(8, 3) = 8 × 8 + 12 × 3 = 100

g(12, 0) = 8 × 12 + 12 × 0 = 96

The maximum possible value of g therefore is 100, which is the value at the point (8, 3)

Please find attached the graph of the inequalities showing the feasible region created with MS Excel

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The area of the rectangle shown is 352 square inches. What are the dimensions of the rectangle? Write the dimensions from least to greatest.
Length= 4x Width= x+3 Area=352

Answers

Answer:

11 in and 32 in

-------------------------

Given a rectangle with dimensions of:

l = 4x in, w = x + 3 in,And area of A = 352 in²

Use area equation and find the value of x:

A = lw352 = 4x(x + 3)88 = x(x + 3)88 = x² + 3xx² + 3x - 88 = 0x² + 11x - 8x - 88 = 0x(x + 11) - 8(x + 11) = 0(x - 8)(x + 11) = 0x = 8 or x = - 11

The second root is ignored as being negative.

The dimensions of the rectangle are:

l = 4*8 = 32 inw = 8 + 3 = 11 in

the line is parellel to graph of 2x-3y=7 and contains the point (-3,-3)

Answers

The equation of the line parallel to the graph of 2x - 3y = 7 and containing the point (-3,-3) is y = (2/3)x - 1.

What is the equation of the parallel line?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of the graph: 2x - 3y = 7.

First, we need to rearrange the given equation into slope-intercept form (y = mx + b) by solving for y:

2x - 3y = 7

-3y = -2x + 7

y = (2/3)x - 7/3

The slope of the given line is 2/3.

Hence, any line parallel to it will also have a slope of 2/3.

Using the point-slope form, we determine the equation of the line that passes through (-3,-3) and has a slope of 2/3:

y - y1 = m(x - x1)

y - (-3) = (2/3)(x - (-3))

y + 3 = (2/3)x + 2

y = (2/3)x - 1

Therefore, the equation of the line is y = (2/3)x - 1.

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HELP FASTTTTT PLAZSSSS

Answers

Top right=1
Top left=2
Bottom left=3
Bottom right=4

Laquita has $3,500 a month in cash inflows and $3,240 a month in forecasted cash
outflows. How much can she contribute annually to her liquidity fund?

Answers

Answer: $3120

Step-by-step explanation:

3500-3240

=260

260*12=3120

I would be thankful if you help

Answers

To get a 1 in matrix row 1, column 1 all we have to do is divide the row by 7 which gives us:

[tex]\left[\begin{array}{ccc} 1\frac {-4}{7}&\frac{8}{7} \\-12&7&-13\end{array}\right][/tex]

Understanding Matrix

The solution provided above uses a method of matrix called Echelon.

Echelon matrix is a matrix that has been transformed using row operations into a specific form that makes it easier to solve systems of linear equations.

By applying these row operations, a matrix can be transformed into row echelon form, which is a weaker form of echelon form where the leading non-zero entry of each row is to the right of the leading non-zero entry of the row above it, but not necessarily strictly to the right.

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For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, choose the best description of its solution. If the system has exactly one solution, give its solution. (see attached)

Answers

The systems of linear equations can be classified as "consistent dependent," "consistent independent," or "inconsistent" as follows:

A. System A = Inconsistent (No solution)

B. System B = Consistent dependent (Indefinitely many solutions)

C. System C = Consistent independent (A unique solution)

How to identify the systems of linear equations

To identify the systems of linear equations, you first need to note the meaning of the different systems of equations. First, the Consistent dependent has two equations that represent the same line, so they intersect at infinitely many points and any point on the line represents a solution to the system.

Next, the Consistent independent has the two equations represented by two distinct non-parallel lines, so they intersect at exactly one point, which is the unique solution to the system.

Finally, the Inconsistent has two equations that are represented by two distinct parallel lines, so they do not intersect, and there is no solution to the system.

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find the taylor polynomial t3(x) for the function f centered at the number a. f(x) = cos(x), a = pi/2

Answers

The Taylor polynomial t3(x) for f(x) = cos(x) centered at a = pi/2 is t3(x) = -(x-pi/2) + (x-pi/2)³/3!.

How do we calculate?

A polynomial is  described as an expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

The Taylor polynomial of degree n for a function f(x) centered at a is given by the formula:

We get the derivatives :

pn(x)=f(c)+f′(c)(x−c)+f′′(c)2!....

f(x) = cos(x)

f'(x) = -sin(x)

f''(x) = -cos(x)

f'''(x) = sin(x)

We the  evaluate these derivatives at x = pi/2:

f(pi/2) = cos(pi/2) = 0

f'(pi/2) = -sin(pi/2) = -1

f''(pi/2) = -cos(pi/2) = 0

f'''(pi/2) = sin(pi/2) = 1

We substitute  these values into the formula for the Taylor polynomial, and simplify to get Taylor polynomial T3(x) for the function:

the Taylor polynomial t3(x) for f(x) = cos(x) centered at a = pi/2 is t3(x) = -(x-pi/2) + (x-pi/2)³/3!.

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Adam works as an account manager for a local insurance company. He makes $3500 per month, after taxes. He sticks to a strict monthly budget to make sure that he is able to pay for all of his expenses each month. Look at the list below of the items Adam must budget for each month. He gives a specific percentage of his income to each item. Use his monthly income and the percentage of each item to determine how much Adam will need to budget for each expense. 30% for rent/mortgage $ 15% for Insurances $ 12% for food $ 8% for utilities $ 10% for savings $ 5% for fun $ 7% for clothing $ 3% for personal items $ 10% charitable giving $ How much money will Adam have left over after budgeting for each item on the list? $

Answers

Answer:

  see below

Step-by-step explanation:

Given a $3500 net income per month and a list of budget percentages, you want to know the budget amounts for each item, and the amount left over.

Amounts

Each budget amount is the product of the net income and the associated budget percentage. Those products are ...

rent: $1050insurance: $525food: $420utilities: $280savings: $350fun: $175clothing: $245personal: $105charity: $350

Left over

The sum of these amounts is $3500, so there will be $0 left over.

__

Additional comment

The list is stored in the variable 'b' by the first line in the calculator. Then these values are multiplied by the net income to get the budget amounts.

if the area of the triangle is 8 15/16ths and the base is 5 1/2, what is the height

Answers

Answer:

h=.34

Step-by-step explanation:

1/2(bh)=A

1/2(5.5*h)=8.9375

5.5h=1.875

h=.34

PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!

Answers

A. Using the formula for area of rectangle, the length of the rectangular space is: 2x - 3

B. The expression to prove this is: (2x - 3) * 4x = 8x² - 12x

What is the Area of a Rectangle?

To find the area of a rectangle, multiply the width and the length together. This means: Area = length * width.

Part A: We are given that area of the rectangular space is expressed as 8x² - 12x, if the width is 4x, then:

Length of the rectangular space = (8x² - 12x) / 4x = 4x(2x - 3)/4x

Length = 2x - 3

Part B: To prove this, we have:

length * width = 8x² - 12x

Substitute:

(2x - 3) * 4x = 8x² - 12x

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Need answers to this by 20 min please!

Dividing cubic polynomials by linear divisor

Answers

The solution to each of the given polynomials are:

1)  x² + 3x - 4

2) x² - 4x + 4

3) x² - 7x + 8

4) x² - 13 - (15/(x + 3)

How to carry out polynomial division?

1) We want to divide the polynomial. Thus:

          x² + 3x - 4

x + 2| x³ + 5x² + 2x - 8

     -   x³ + 2x²

                 3x² + 2x

               - 3x² + 6x

                        - 4x - 8

                      -  -4x - 8

                                0

2) We want to divide the polynomial. Thus:

        x² - 4x + 4

x - 2| x³ - 6x² + 12x - 8

     -  x³ - 2x²

              - 4x² + 12x

              - -4x² + 8x

                         4x - 8

                      -  4x - 8

                                0

3) We want to divide the polynomial. Thus:

         x² - 7x + 8

x + 3| x³ - 4x² - 13x + 24

      -  x³ + 3x²

              - 7x² - 13x

              - -7x² - 21x

                         8x + 24

                      -  8x + 24

                                0

4) We want to divide the polynomial. Thus:

        x² - 13

x + 3| x³ + 3x² - 13x - 15

      -  x³ + 3x²

              - 0x² - 13x

              - -7x² - 13x

                       0 - 15

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Please see the attached

Answers

the answer is feet ......

Use the general form of the equation for an ellipse with center (0,0) with a vertex at (5,0) and a co-vertex at (2,0)​

Answers

The general form of the equation for an ellipse with center (0,0) and semi-axes lengths a and b is:

(x^2/a^2) + (y^2/b^2) = 1

Since the vertex is at (5,0), we know that a = 5. Since the co-vertex is at (2,0), we know that b = 2.

Plugging these values into the equation, we get:

(x^2/5^2) + (y^2/2^2) = 1

Simplifying, we get:

x^2/25 + y^2/4 = 1

Therefore, the equation of the ellipse with center (0,0), a vertex at (5,0), and a co-vertex at (2,0) is x^2/25 + y^2/4 = 1.

Please answer correctly and explain reasoning for brainliest (If correct) and thanks!
What are the coordinates of A’?

Answers

Check the picture below.

Factor by grouping. Then supply the term that is missing below. 4mn+3m+8n+6=(m+2)(?+3)

Answers

Answer:

4mn + 3m + 8n + 6 = (m + 2)(4n + 3)

The missing term is 4n.

What are some common order of operation mistakes that students make when evaluating expressions? Make a list and share two examples in the Discussion Board; then explore the lists your peers have posted and respond to one that you find particularly insightful.

Answers

Some of the common order of operation mistakes that students make when evaluating expressions are the use of basic mathematical operations.

What is a mistake?

You should know that an error or fault results from defective judgment, deficient knowledge, or carelessness.

A combination of numbers, letters, and relational operators containing at least one operation is deemed a mathematical expression. Additionally, it must also include variables and/or numbers, excluding an equal sign.

Some prevalent errors include using both a positive and a negative sign, using two negative signs, and misusing brackets.

By being unable to comprehend the problems accurately, learners often commit significant errors while assessing formulations, which underscores the importance of employing fundamental mathematical operations.

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Share your own multi-step combination problem

Answers

My own multi-step combination problem is given below:

Amanda  was planning a dinner party for 10 people, and she want to choose a menu of 3 fruit , 2 meat pie, and 2 desserts. Amanda  have a total of 5 fruit , 4 meat pie, and 3 desserts to choose from. How many different dinner menus can Amanda  create?

How do you solve the multi-step combination?

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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If cos⁡θ=-1/3 and θ is in quadrant III, find the exact values of sin⁡θ,tan⁡θ,sec⁡θ,csc⁡θ,and cot⁡θ. You can use the identities or x, y, r.

Answers

The exact values of sinθ, tanθ, secθ, cscθ, and cotθ are -√8/9, √8/3, -3, -√9/8, and √9/8, respectively.

Given: cosθ = -1/3 and θ is in quadrant III.

This means that sinθ = ± √(1 - (cosθ)2).

We know that cosθ is negative, so sinθ will be negative.

Therefore, sinθ = -√(1 - (-1/3)2 )

sinθ = - √(1 - 1/9)

sinθ = -√8/9

tanθ = sinθ/cosθ

tanθ = (-√8/9)/-1/3

tanθ = √8/3

secθ = 1/cosθ

secθ = 1/-1/3

secθ = -3

cscθ = 1/sinθ

cscθ = 1/-√8/9

cscθ = -√9/8

cotθ = cosθ/sinθ

cotθ = -1/3/-√8/9

cotθ = √9/8

Therefore, the exact values of sinθ, tanθ, secθ, cscθ, and cotθ are -√8/9, √8/3, -3, -√9/8, and √9/8, respectively.

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Please help solve graphs

Answers

The graphs are:

1) not one-to-one

2) one-to-one

3) not one-to-one

Are the graphs one-to-one?

A graph represents an one-to-one function only if.

We can't draw a vertical line that touches the graph twice or more.

We can't draw an horizontal line that touches the graph twice or more.

For example, for the first graph, we can see that there are horizontal lines like y = -5 that touch the graph two times.

Similarly forthe third graph, the line y = 0 touches two points-

So these two are not one-to-one.,

For the remaining graph, the middle one, no line touches the graph more than once, so it is one-to-one.

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Graph the parabola.

y=x^2-2x+4
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

Answers

A graph of the parabola with five points on the parabola is shown below.

What is the vertex form of a quadratic equation?

In Mathematics and Geometry, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.a represents the leading coefficient.

For the given quadratic function, we have;

y = x² - 2x + 4

When x = 0, we have:

y(0) = 0² - 2(0) + 4

y(0) = 4

When x = 2, we have:

y(2) = 2² - 2(2) + 4

y(2) = 4

When x = -2, we have:

y(-2) = -2² - 2(-2) + 4

y(-2) = 12

When x = 4, we have:

y(4) = 4² - 2(4) + 4

y(4) = 12

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what principal will have majority value of $10,000 at 8.25% p.a in three months?

Answers

__________________________________

Simple Interest: A = P × i ÷ 100 × n = 10,000 × 8.25 ÷ 100 × 3= 247.5= 10,000 + 247.5= $10,247.5 Compound Interest: A = P (1 + i ÷ 100) n = 10,000 (1 + 8.25 ÷ 100) ³= $12,684.80The Compound Interest Principal Will Have Majority Value In 3 Months

__________________________________

Vanessa purchased a used car on a payment plan. Four months after purchasing the car, the balance was $1,200. Seven months after purchasing the car, the balance was $975.

Write an equation that models the balance y after t months.

y =
t +

Answers

The equation that models the balance y after t months is y = -75t + 1,500

To write an equation that models the balance y after t months, we need to use the given information to determine the rate at which the balance is decreasing. We can use the formula for a straight line, y = mx + b, where m is the slope and b is the y-intercept.

We can start by finding the change in the balance over the three-month period from four to seven months after the purchase:

Change in balance = $1,200 - $975 = $225

The rate of change can be calculated by dividing the change in the balance by the number of months:

Rate of change = $225 / 3 months = $75 per month

We can use this rate of change as the slope of the equation:

y = -75t + b

To find the y-intercept b, we can use the fact that the balance was $1,200 four months after the purchase:

1,200 = -75(4) + b

b = 1,500

Therefore, the equation that models the balance y after t months is:

y = -75t + 1,500

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help with this word problem

Answers

The height of the school building is approximately 4.38 meters (rounded to the nearest hundredth).

How to calculate the height

JX / BX = JM / BT

Substituting the known values, we get:

(d1 + d2) / h = d1 / (h - 1.75)

(d1 + d2) * (h - 1.75) = d1 * h

d1 * h + d2 * h - 1.75 * d1 - 1.75 * d2 = d1 * h

d2 * h - 1.75 * d1 - 1.75 * d2 = 0

h = (1.75 * d1 + 1.75 * d2) / d2

h = (1.75 * 8.75) / 3.5

h = 4.375

The height of the school building is approximately 4.38 meters

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After 2 hours, 36% of a certain element remains. If a sample has an initial amount of 100 grams, how many hours will it take until only 1 gram remains? Provide an answer supported by valid mathematical reasoning and/or calculations.

Answers

It will take approximately 12.85 hours until only 1 gram of the element remains.

If after 2 hours, 36% of the initial amount remains, then the remaining amount is 0.36 times 100 grams, which is 36 grams. Let's define the amount of the element remaining after time t in hours as R(t). Since the element is decaying exponentially, we can model it with the equation R(t) = 100[tex](0.36)^t[/tex].

We want to find how many hours it will take until only 1 gram remains. We can set R(t) equal to 1 gram and solve for t:

1 = 100[tex](0.36)^t[/tex]

Taking the logarithm of both sides, we get:

ln(1) = ln(100[tex](0.36)^t[/tex])

0 = ln(100) + t*ln(0.36)

t = -ln(100)/ln(0.36)

Using a calculator, we find that t ≈ 12.85 hours.

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What is the answer?
A) Yes
B) No

Answers

Answer:

Step-by-step explanation:

No

no it is not proportional

Use the FOIL method to find the product. Express the product in descending powers of the variable.
(7+6x)(1-5x)

Answers

Answer down below!

To begin with, the FOIL method stands for First Outside Inside Last. This is the method we use to multiply numbers like this

So, how do we start?

First: 7 times 1
Outside: 7 times 5x
Inside: 6x times 1
Last: 6x times 5x

7 times 1 = 7
7 times 5x = 35x
6x times 1 = 6x
6x times 5x = 30x^2

Now, with all these numbers, we combine all like terms

Our final answer will be 30x^2 + 41x +7

What is the equation through the points: (6, 5), (8, -2)


ASAP please

Answers

The equation of the line passing through the points (6, 5) and (8, -2) is[tex]y = -\frac{7}{2} x + 26[/tex].

What is the equation of the line?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Determine the slope of the line.

Given the two points are (-7, -3) and (1, 2)

We can find the slope of the line by using the slope formula:

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values:

m = (-2 - 5) / (8 - 6)

m = -7/2

Using the point-slope form, plug in one of the given points and slope m = -7/2 to find the equation of the line.

Let's use the point (6, 5):

y - y₁ = m(x - x₁)

[tex]y - 5 = -\frac{7}{2}( x - 6 )\\\\y - 5 = -\frac{7}{2} x + 21\\\\y = -\frac{7}{2} x + 21 + 5\\\\y = -\frac{7}{2} x + 26[/tex]

Therefore, the equarion of the line is [tex]y = -\frac{7}{2} x + 26[/tex].

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Other Questions
Aces inc. , a manufacturer of tennis rackets, began operations this year. The company produced 5,600 rackets and sold 4,500. Each racket was sold at a price of $86. Fixed overhead costs are $70,560, and fixed selling and administrative costs are $64,800. The company also reports the following per unit costs for the year:variable production costs$24. 60variable selling and administrative expenses$1. 60required:prepare an income statement under variable costing. aces inc variable costing income statement sales $ 387,000 less: variable costs variable production costs variable selling and administrative expenses variable overhead costs $110,700 7,200 117,900 contribution margin fixed overhead costs $70,560 64,800 fixed selling and administrative costs total fixed expense net income (loss) 135,360 question jeannie schedules a meeting with her sales colleagues scattered across the country. she needs to be cost effective and time sensitive so she sets up a meeting online where all can see and hear each other in order for the sales figures to be worked through as a team. this is an example of which type of business communication? when completing a nutritional assessment of a patient who is admitted for a gi disorder, the nurse notes a recent history of dietary intake. this is based on the knowledge that a portion of digested waste products can remain in the rectum for how many days after a meal is digested? year 1 april 20 purchased $40,250 of merchandise on credit from locust, terms n/30. may 19 replaced the april 20 account payable to locust with a 90-day, 10%, $35,000 note payable along with paying $5,250 in cash. july 8 borrowed $80,000 cash from nbd bank by signing a 120-day, 9%, $80,000 note payable. ? paid the amount due on the note to locust at the maturity date. ? paid the amount due on the note to nbd bank at the maturity date. november 28 borrowed $42,000 cash from fargo bank by signing a 60-day, 8%, $42,000 note payable. december 31 recorded an adjusting entry for accrued interest on the note to fargo bank. year 2 ? paid the amount due on the note to fargo bank at the maturity date. the language domain is made up of group of answer choices time honored practices such as letter flashcards and handwriting worksheets that expose children to letters and words. language, literacy and literature. learning to send and receive messages from others in a variety of communication methods. Read the character and setting resource below for the novel that you chose. Then think about the character that you relate to the most, and write that characters name in the answer field. Later in the activity, youll write an essay to support your choice.After selecting the character you find most relatable, create an outline for your essay. Use the following outline template as a guide.character: Jo March (From Little Women)Introduction:hook summary or background information thesis statement Body Paragraph 1: main idea 1 textual evidence analysis on evidence Body Paragraph 2:main idea 2 textual evidence analysis on evidence Body Paragraph 3:main idea 3 textual evidence analysis on evidence Conclusion:restate thesis statement summary of the main ideas 82 pts, idc if i relate to jo or not please helpwith the outline give meideas You use a straw to blow an air bubble into a milkshake. the bubble seems to stay in the shake. if the milkshake is like magma, and the air bubble is like water vapor trapped in the magma, what type of eruption would result? explain how the tone of a story can affect the mood? Evaluate the model. what parts would you change in the model to make it represent this cycle correctly? Select the organism that belongs to the protist kingdom. 1. Find the zeros of the quadratic function by graphing. Round to the nearest tenth if necessary.f(x) = -2x + 3x + 1A 0.8,2.1) is a zero of the quadratic function because it is the peak of the parabola.B (0,1) is a zero of the quadratic because it is where the parabola crosses the y-axis.C (-0,3,0) and (1.8,0) are zeros of the quadratic function because it is where the parabola crosses the x-axis.D (0.8,2.1) and (0,1) are zeros of the quadratic function because it is where the parabola crosses the x-axis. You babysat your neighbor's children, and they paid you $45 for 6 hours. What is the rate? What is the unit rate? Write a function rule to represent this situation. When you measure current, you are measuring the number of:a. Neutrons that pass a point in one second. b. Protons that pass a point in one second. c. Electrons that pass a point in one second. d. Atoms that pass a point in one second. 1. A new basketball costs $22. 00 but is on sale for 40% off. If sales tax is 5%, what is the final cost of thebasketball? Enter your answer as dollars and cents, The mass of a tumor grows at a rate proportional to its size. The first measurement of its size was 4. 0 grams. Four months later its mass was 6. 76 grams. How large was the tumor six months before the first measurement? If the instrument can detect tumors of mass 1 gram or greater, would the tumor have been detected at that time? Write 23.4571 correct to b) the nearest 10 Complete the balanced chemical equation for the following reaction between a weak acid and a strong base. HClO(aq) + Ba (OH)(aq) Match the following terms and definitions.1. an animal without a body cavity ectoderm 2. development of an apparent head end of an animal deuterostomes 3. flagellated cell lining the inside of a sponge acoelomate 4. an animal with a fluid-filled body cavity that lies within the mesoderm coelomate 5. organisms that form by radial cleavage and develop an anus from the first indentation of the gastrula stage of embryonic development; includes echinoderms, chordates, and vertebrates choanocyte 6. "outer skin"; layer of cells that develop on the outside of the embryo cephalization How many milliliters of sulphur dioxide are formed when 12.5g of iron sulphide ore (pyrite) reacts with oxygen according to the equation at stp?4fes2+1102=2fe2o3+8so2pls guys Miguel draws a square on a coordinate plane. One vertex is located at (5, 4). The length of each side is 3 units. Circle the letter by all the ordered pairs that could be another vertex.