5. Of the quadratic functions shown below, which has imaginary zeroes?
(1)
(3)
(2)
(4)

To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

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Answer:

16.9 m

Step-by-step explanation:

The diagram given that represents this situation is a right triangle.

The height of the building can be found using the pythagorean theorem, a² + b² = c².

Where,

a = 26 m

b = height of the building = h

c = 31 m

Plug in the values into the formula

Thus:

\( 26^2 + b^2 = 31^2 \)

\( 676 + b^2 = 961 \)

Subtract 676 from each side

\( b^2 = 961 - 676 \)

\( b^2 = 285 \)

Square both sides

\( b = \sqrt{285} \)

\( b = 16.9 m \) (nearest tenth)

Answer:

Slope = m = 2.50

Y-intercept = b = 2.50

Step-by-step explanation:

Given equation is:

\(y=2.50x+2.50\)

Comparing it with slope-intercept form of equation \(y = mx+b\), where m is slope and b is y-intercept, we get:

Slope = m = 2.50

Y-intercept = b = 2.50

\(\rule[225]{225}{2}\)

Hope this helped!

The integral becomes \(∫01 ∫0 2s F(s,t) dtds\). The order of integration has been reversed.

a) Let \(f(x) = e^-x\) and let \(h(y) = y\). Define the function \(g(y) = f(h(y)\)). Use the chain rule to find the derivative of g.

The function \(g(y) = f(h(y))\) can be written as \(g(y) = e^(-y).\)

The derivative of g(y) can be found using the chain rule.

Applying the chain rule, we have:

\(g'(y) = f'(h(y)) * h'(y)\)

where \(f'(x) = -e^(-x) and h'(y) = 1\)

Therefore,

\(g'(y) = -e^(-y)*1 \\= -e^(-y)\)

b) Given some constant \(λ > 0\), what should the constant a be so that the following equation is true? \(∫0∞ ae^(-λx) dx = 1\)

The integral can be solved as follows:

\(∫0∞ ae^(-λx) dx \\= a[∫0∞ e^(-λx) dx]\\Let u = -λx, then du/dx = -λ, and dx = -1/λ du.\)

Substituting u and dx in the integral, we have:

\(∫0∞ ae^(-λx) dx = a[∫∞0 e^u * (-1/λ) du]∫0∞ ae^(-λx) dx \\= a[(-1/λ) * [e^u]∞0]∫0∞ ae^(-λx) dx \\= a[(-1/λ) * (0 - 1)]∫0∞ ae^(-λx) dx \\= a/λ\)

Therefore, the given integral equals 1 when \(a/λ = 1, i.e. a = λ.c)\)

Let F(s,t) denote some real-valued function of two real variables.

Reverse the order of integration in the following (i.e., rewrite so that it says \(dsdt)\):

\(∫01 ∫-2s 20 F(s,t) dtdsT\)

The order of integration can be reversed using the limits of integration in the original integral as follows:\(∫-2s 20 F(s,t) dt\) becomes \(∫0 2s F(s,t) dt\)

Therefore, the integral becomes∫01 ∫0 2s F(s,t) dtds.

The order of integration has been reversed.

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Answer:

5= log2(32)

Step-by-step explanation:

IT IS CORRECT! I took the test :)

Answer:

Step-by-step explanation:

4.50 per sandwich

6 sandwiches

4.50 x 6 = 27

+ Delivery fee $10

$27 + $10 =

$37 total

Answer:

3

Step-by-step explanation:

To find the absolute deviation, we need to find the difference between each data point and the mean of the data set, take the absolute value of each difference, and then calculate the average of those absolute differences.

First, let's find the mean of the data set:

(10 + 2 + 6 + 12 + 6 + 10 + 4 + 12) / 8 = 8

The mean is 8.

Next, we find the difference between each data point and the mean:

|10 - 8| = 2

|2 - 8| = 6

|6 - 8| = 2

|12 - 8| = 4

|6 - 8| = 2

|10 - 8| = 2

|4 - 8| = 4

|12 - 8| = 4

Now we take the average of those absolute differences:

(2 + 6 + 2 + 4 + 2 + 2 + 4 + 4) / 8 = 3

The absolute deviation of the data set is 3.

Answer: y = 1.4

Step-by-step explanation:

if you write the equation it would be

-5y - 4 = -11

so first you would subtract 4 from -4 and -11 to cancel out the four.

so your equation would look like this -5y= -7

so now u would divide -5 by both sides to canceled out the -5

your equation should end up looking like

y=1.4

Answer:

15,750 meters

Step-by-step explanation:

There are 1000 meters in a kilometer

.75 of a kilometer is 750 meters

There are 7 days in a week, 7x3 is 21.

750 x 21 = 15,750

Answer:

15750meters

Step-by-step explanation:

3 weeks=3x7

=21days

1day=0.75km

21days=21x 0.75

=15.75km

1km=1000m

15.75km=(1575/100 x 1000)m

=15750meters

The portion of the ECG that corresponds to repolarization of the atria is not usually visible on a standard ECG. In some cases, abnormalities in the repolarization of the atria may be visible on an ECG as changes in the shape or duration of the T wave.

The standard ECG only records electrical activity that is strong enough to cause depolarization of the ventricles, which creates the QRS complex. The repolarization of the atria occurs during the T wave, which represents ventricular repolarization. Therefore, the repolarization of the atria is usually hidden within the T wave and cannot be specifically identified on a standard ECG.

The electrical activity of the heart is recorded on an ECG as a series of waves and intervals that correspond to specific events in the cardiac cycle. The P wave represents the depolarization of the atria, which causes them to contract and pump blood into the ventricles. The QRS complex represents the depolarization of the ventricles, which causes them to contract and pump blood out of the heart. The T wave represents the repolarization of the ventricles, which allows them to relax and refill with blood. During the cardiac cycle, the repolarization of the atria occurs after their depolarization and contraction. This repolarization wave is very small and weak compared to the depolarization wave, and it is not usually visible on a standard ECG. Instead, the repolarization of the atria is hidden within the T wave, which represents the larger and more prominent repolarization wave of the ventricles.

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Answer:

9c^2 - 30cd + 25d^2

Step-by-step explanation:

(3c - 5d)^2

= (3c - 5d) (3c - 5d)

= [3c * 3c] + [3c * -5d] + [-5d * 3c] + [-5d * -5d]

= 9c^2 - 30cd + 25d^2

Answer:

6859 is not perfect cube.

Step-by-step explanation:

First we will find all factors under the cube root: 6859 has the cube factor of 361. Let's check this width ∛361*1=∛6859. As you can see the radicals are not in their simplest form. Now extract and take out the cube root ∛361 * ∛1. Cube of ∛361=19 which results into 19∛1 All radicals are now simplified.

 hope it helps

(a)

Lateral surface area of prism =720cm²(Given) Perimeter x height = 720

36 x height = 720

\( ∴ Height\: of\: prism = \frac{720}{36} = 20\\(b) Total \:surface\: area\: of\: prism = 2 x \:base\: area\: + L.\: S.\: A\: of \:prism \\ = \frac{2 \times \sqrt{3} }{4} \times( {12}^{2} ) + 720 \\ = (72 \sqrt{3} + 720) {cm}^{2} \\ = (72 \times 1.732 + 720) {cm}^{2} \\ = 844.704 \frac{}{} {cm}^{2} \)

Answer:

2(3w+4)

Step-by-step explanation:

Given:

(W) is a variable with an unknown number

you are multiplying 5 by (w) variable

you are adding the 8 to (w) and 5w

1. Combine like terms:

8+w+5w

8+6w

2. Rearrange terms:

8+6w

6w+8

3. Common factor:

6w+8

2(3w+4)

Answer:

w=58 degrees

Step-by-step explanation:

The sum of all angles in a triangle should add up to 180 [ its a fact]

and the square-like shape inside the triangle represents the fact that that angle is 90 degrees.

So, we can make an equation

32+90+w=180

122+w=180 [if u add 32+90, u'll get 122]

w=180-122 [subtract 122 from both sides to isolate "w"]

w=58

Answer:

77

Step-by-step explanation:

Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

Answer:

True.

Step-by-step explanation:

The Han era was when paper and porcelain was invented. It was a time of peace when China could build up.

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Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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11.87 m² metal sheet would be needed to make the base area of tank.

Volume of cylinder, determines how much material it can carry, is determined by the cylinder's volume. A cylinder is a three-dimensional structure having two parallel, identical bases that are congruent.

It is given that capacity of a closed cylindrical vessel of height 2 m is 3080 liters

Let us assume that Radius of cylinder = r

Then Volume of cylinder = π ×r² ×h

= 2π ×r²× m³

1 m³ = 1000 liters

= 2000 π r²  liters

Volume of tank = Capacity

2000 π r² = 3080

=> 2000 × (22/7) × r² = 3080

=> r² = 49/100

=> r = 7/10 m

=> r = 0.7 m

Base Area of tank = TSA = 2πrh + 2πr²

= 2×(22/7)(0.7)×2 + 2×(22/7)×(0.7)²

= 3.0772 +8.792

= 111.87 m²

Hence, 11.87 m² metal sheet would be needed to make it.

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Answer:

15

Step-by-step explanation:

trust me

Answer: 5 plus 2 times 10=25

Step-by-step explanation:

The value of 16.023-5.58 = 10.4430 rounded off to the correct number of significant figures.

To perform the calculation and round the answer to the correct number of significant figures for the expression 16.023-5.58, follow these steps: First, subtract the given values of 16.023 and 5.58.16.023 - 5.58 = 10.443. The difference value is 10.443.

Now, round the answer to the correct number of significant figures by identifying the least significant digit that has been given in the question.

Here, the least significant figure is 2. The next digit after 2 is 3 which is greater than or equal to 5, so round up the digit. Therefore, rounding off 10.443 to the nearest thousandth gives 10.4430.

Thus, the value of 16.023-5.58 = 10.4430 rounded off to the correct number of significant figures.

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Answer:

the 12 pack would be cheaper

Step-by-step explanation:

first you would find the price of one can   (2.20/6)=.37 and (4.25/12)=0.354

the cheapest would be the 12 pack

Answer:

Slope = 5/2

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

In this case the two points are (6,7) and (4,2)
Using the formula we find that the slope is:
slope = (2-7)/(4-6)
slope = -5/-2
The negatives cancel out and therefore the final answer or slope is 5/2.

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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what do you mean if she have a shoe box she have a shoe box

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Answer:

Yes; they should charge $3.30 for an apple and $2.00 for an orange.

Step-by-step explanation:

We can answer this question by creating some simultaneous equations.

Let \(x\) = an apple and let \(y\) = an orange.

With the information given, we can say that the price for an apple and an orange is equal to $5.30 while the price for an apple and 2 oranges is equal to $7.30.

Therefore:

\(x+y = 5.30\)   (1st equation)

\(x + 2y = 7.30\) (2nd equation)

There are a couple of ways to solve these equations but I'll show you the substitution method. This is when we substitute the value of one of the equation into the other one.

So let's re-arrange one of them.

\(x+y=5.30\) can be re-arranged into \(x= 5.30-y\)

Now we know the value of \(x\), we can replace the \(x\) in the second equation.

Therefore \(5.30-y + 2y=7.30\). We can simplify this to give us \(5.30 + y = 7.30\) and re-arrange to solve for y: \(y = 2\).

Now we know the value of y, let's put it into the first equation:

\(x+2 =5.30\)

and solving for \(x\) we get: \(x = 3.30\).

Therefore the price of an apple (\(x\)) is $3.30 and the price of an orange (\(y\)) is $2.

From the list of answers, there is only one correct option which is:

- Yes; they should charge $3.30 for an apple and $2.00 for an orange.

The z-score is a standardized score that tells us how many standard deviations a data point is away from the mean. It is calculated as:

z = (x - mu) / sigma

where x is the raw score, mu is the mean, and sigma is the standard deviation.

For a normally distributed set of data with a mean of 10 and a standard deviation of 3, the z-score for each of the following raw scores would be:

x = 7

z = (7 - 10) / 3 = -1

The z-score for a raw score of 7 is -1.

x = 12

z = (12 - 10) / 3 = 0.67

The z-score for a raw score of 12 is 0.67.

x = 16

z = (16 - 10) / 3 = 2

The z-score for a raw score of 16 is 2.

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