what methods could be used to solve the following quadratic equation x^2 +12-28=0

The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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Answer:

-x + 2

Step-by-step explanation:

The mean using sigma notation is $2.4

The list of costs per cup are given as:

$2.85, $2.15, $1.95, $3.00, $2.05 and $2.40

The mean using sigma notation is calculated as:

\(\bar x = \frac{\sum x}{n}\)

This gives

\(\bar x\) = ($2.85 + $2.15 + $1.95 + $3.00 + $2.05 + $2.40)/6

Evaluate the sum

\(\bar x\) = $14.4/6

Evaluate the quotient

\(\bar x\) = $2.4

Hence, the mean using sigma notation is $2.4

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Answer: x=38

Step-by-step explanation:

x+(-15)=23

x-15=23

+15  +15

x=38

When there is a positive and negative sign the negative sign cancels the positive sign.

Answer:

38

Step-by-step explanation:

23+15=38 because in order to get 23 from -15 a negative number you need to have 38 to silence the -15.

The volume of the given triangular prism is 384 cm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

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Answer:

324

Step-by-step explanation:

(12*6*2)+(12*5*2)+(6*5*2)= 324

Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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Answer: 19/5

Step-by-step explanation:

Answer:

1.75

Step-by-step explanation:

Answer:

1: Quotient

2: Difference

3: cos(x)cos(y)

Step-by-step explanation:

I just did it on Edge :)

Answer:

Step-by-step explanation:

it's right here lol

Since, Z(0)>Z(0.1) that is 3.07>1.28. So reject H(0). So the option 1 and 3 is correct.

In the given question,

H(0): μ=18 ; H(a): μ>18

x = 19.1

Conclude whether to reject or not reject H(0), and interpret the results.

σ = 1.6

α  = 0.1 (significance level) .

The test statistic is

Z(0) = {x-μ(0)}/(σ/√n)

Z(0)= (19.1-18)/16/√20

Z(0) = 3.07

The critical value is Z(0.1) = 1.28.

As we can see that;

Z(0)>Z(0.1) that is

3.07>1.28

So reject H(0).

So the option 1 and 3 is correct.

Reject H(0), the test statistic Z(0)=3.07 is Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

And

The test statistic falls within the rejection region.

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The right question is:

Select two responses below.

Select all that apply:

(1) Reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(2) Fail to reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(3) The test statistic falls within the rejection region.

(4) The test statistics is NOT in the rejection region.

The probability that less than 75% of the sample students have iPhones is approximately 0.2478.

What is probability?

This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.

Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)

Using the binomial probability formula, we have:

P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37

However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.

Using the normal approximation, we can standardize the random variable X:

Z = (X - μ) / σ

where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.

Then, we have:

P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)

Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.

Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.

Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.

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Answer:

A. -30

B. 16

Step-by-step explanation:

Simply plug in the values into the equation. f(-2) evaluates to -7, and f(2) evaluates to -23. Thus, A is \(-7+(-23) = 30\), and B is \(-7 - (-23) = 16\)

Answer: See below

Step-by-step explanation:

(f+g)(x) is another way for saying f(x)+g(x). Since we know f(x) and g(x), we can add them together.

-5x-4+(-3x-2)                  [distribute the 1 to (-3x-2)]

-5x-4-3x-2                      [combine like terms]

-8x-6

(f+g)(x) is -8x-6. You can also factor this.

1. Factoring

-2(4x+3)

Based on an equation, the amount that Isabel spent on bread was $2.42.

To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.

The amount Isabel spent on vegetables = $15.91

The amount she spent on fruits = $11.22

Let the amount she spent on bread = x

The total amount she went with = $30 (3 x $10)

The change she got after giving the cashier $30 = $0.45

The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)

x = $2.42 ($29.55 - $15.91 - $11.22)

Check:

Vegetables = $15.91

Fruits = $11.22

Bread = $2.42

Total expenses = $29.55

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

it is parralel

Step-by-step explanation:

The slopes of 10x+5y=−5 and y=−2x+6 are both −2.Parallel

Explanation: To solve this question we need to know the formula of the area of the circle as shown below

As we can see above we need first to know the circle radius which can be expressed in terms of diameter as follows

where

r ---> circle radius

d---> circle diameter

Step 1: We can see we do not have the information about the circle's diameter or radius to be able to calculate the circle's area, BUT, we do have information about the square inside of it and if we look over the picture below

We can see that the circle's diameter is the same as the diagonal of the square, so all we need to do is calculate the square's diagonal to find our diameter using the following formula.

where

D ----> is the diagonal of the square

a ----> is the side of the square

Step 2: Let's calculate as follows

It means that the circle's diameter is approximately 8.485 so

Step 3: Now we are able to calculate the area of the circle as follows

Final answer: So the final answer is approximate 17.64pi or rounded to 18pi

The length of diagonal GE is 89 units

What is a quadrilateral?

quadrilateral is a plane mathematical closed figure consist of four side and four edges. There are 7 types of quadrilateral.

Trapezium, Parallelogram, Rectangle, Rhombus, Square, Kite.

It is given that :

length of side EF = 39 units

and, DH = 44.5 units

It is known that :

Diagonals of a Rectangle

A rectangle has 2 congruent diagonals, that is the two diagonals are equal to each other.

The diagonals of a rectangle bisects each other into equal segments.

The diagonals of the rectangular room are:

DF and GE

Thus:

DF = GE

DH = 1/2(DF)

44.5 = 1/2(DF)

DF = 2(44.5)

DF = 89

Therefore :

DF = GE = 89

GE = 89 units

Thus,  The length of diagonal GE is 89 units.

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Answer:

3÷8

=37.5%

$704x37.5%

=$264

ANSWER D

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

Answer:

Y= 2/5x - 23

Step-by-step explanation:

Firstly:

Move the 1/5 to the other side of the equation

So

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

Secondly:

Expand the brackets

5y +20 = 2x-3

Thirdly:

Solve

5y= 2x - 3-20

5y=2x-23. (Divide by five both sides)

Y= 2/5 x - 23 (Straight line graph)

To plot the graph:

First create a table of values

For x coordinates and y coordinates

Put the points in the graph and match

Answer:

w = -1

Step-by-step explanation:

Given equation:

\(4w + 2 + 0.6w=-3.4w-6\)

Add 3.4w to both sides:

\(\implies 4w + 2 + 0.6w+3.4w=-3.4w-6+3.4w\)

\(\implies 4w + 2 + 0.6w+3.4w=-6\)

Subtract 2 from both sides:

\(\implies 4w + 2 + 0.6w+3.4w-2=-6-2\)

\(\implies 4w +0.6w+3.4w=-6-2\)

Combine the terms in w on the left side of the equation and subtract the numbers on the right side of the equation:

\(\implies 8w=-8\)

Divide both sides by 8:

\(\implies \dfrac{8w}{8}=\dfrac{-8}{8}\)

\(\implies w=-1\)

Therefore, the solution to the given equation is:

\(\boxed{w=-1}\)

Given that,

→ 4w + 2 + 0.6w = -3.4w - 6

Now the value of w will be,

→ 4w + 2 + 0.6w = -3.4w - 6

→ 4.6w + 2 = -3.4w - 6

→ 4.6w + 3.4w = -6 - 2

→ 8w = -8

→ w = -8/8

→ [ w = -1 ]

Hence, the value of w is -1.

Answer:

y = 4

Step-by-step explanation:

distribute

10 + 2y = 18

minus 10 from both sides

2y = 8

divide by 2

y = 4

Answer: y=4

Step-by-step explanation:

2(5+y)=18

youre going to start by distributing the 2 to (5+y)

10+2y=18

then subract 10 from 18

2y=8

and then divide 2 on both sides

y=4

Answer:

c is your answer

Step-by-step explanation:

Step-by-step explanation:

Find the factors of x that makes it zero.. Equate the equation to y and use it to find the value of y. Then get your values for x and y and plot the graph

Answer:

a = 2/5

Step-by-step explanation:

a + 1/10 = 5/10

Subtract 1/10 from both sides of the equation.

a + 1/10 = 5/10

-1/10 -1/10

a = 4/10

This answer is not incorrect but we usually need to simplify it if possible.

4/10 can be reduced to 2/5.

a = 2/5

Answer:

a=2/5

Step-by-step explanation:

To solve this, we first need to isolate the a so we can solve from there

First, we subtract 1/10. But whatever we do to one side we have to do to the other side. So when we subtract 1/10 from the left side we cancel it out and we subtract 1/10 from the right side so 5/10-1/10

So our equation becomes…

a=5/10-1/10

We can simplify this to…

a=4/10

4/10 is equal to 2/5

So that is our final answer

Now since we have nothing else to do that is our final answer

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