help me please the picture below has the question and the answers

Answer:

values of x and y is (4, -2), (0, 0) and (2, 10)

Step-by-step explanation:

\( - 5 = > 45 \\ - 4 = > 28 \\ - 3 = > 15 \\ - 2 = > 6 \\ - 1 = > 1 \\ 0 = > 0 \\ 1 = > 3 \\ 2 = > 10 \\ 3 = > 21\)

In this problem, we need to find the equation and the graph of a parabola given the focus and the directrix.

Sometimes it's best to start with graphing the given information to determine if the graph is a horizontal or vertical parabola. So, we'll have:

Since the focus is always inside the parabola and the directrix is outside the parabola, we know this will be a vertical parabola. Depending on the text, this standard formula may look different. For our purposes, the standard form of a vertical parabola is:

Where (h,k) is the vertex.

The vertex is typically the same distance from both the focus and the directrix, so we can find the distance between them and divide by 2.

The vertex will be at (-2,3):

Now we can substitute the vertex into our standard form knowing (h,k) = (-2, 3):

Next, we need to find the value of p for our equation.

P is the distance from the vertex to the focus. Since our vertex is at (-2,3) and our focus is at (-2,4), the difference between the y-values shows a distance of 1.

Since p=1,

Our final graph is:

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

33?

Step-by-step explanation:

Answer:

X=56 Y=56

Step-by-step explanation:

Answer:

224

Step-by-step explanation:

350-36%=224. easy as that.

The fraction of a whole pan of lasagna that tom ate if he started with 7/8 of a pan is 1/8

From the information given, we have that:

Tom started with  7/ 8 of the pan

Let the original size of the pan be 1

The fraction of the whole pan he ate is:

= Original size - size of what Tom ate

= 1 - 7/8

Find the LCM

=8 - 7 / 8

= 1/ 8

Thus, the fraction of a whole pan of lasagna that tom ate if he started with 7/8 of a pan is 1/8

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Using the Pythagorean Theorem, the length of the base is: 15 units.

The Pythagorean theorem is used to find any of the length of the legs or hypotenuse of a right triangle if we know any two measures of its side. The theorem is given as: the square of the hypotenuse = sum of the squares of the legs of the right triangle.

It can be expressed as c² = a² + b², where c is the longest side of the right triangle.

Note: The hypotenuse is the longest side of the triangle.

Thus, given the triangle in the image below, where:

c = 25

a = 20

b = length of the base

The expression that would be appropriate for this situation would be written based on the Pythagorean Theorem, which is:

b = √(c² - a²)

Substitute

b = √(25² - 20²)

b = 15 units

The length of the base is: 15 units.

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The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Answer:

-5

Step-by-step explanation:

3 - 9 + 1 = -6 + 1 = -5

Hope this helped! I would appreciate a Brainliest!

(BTW, if you can, can you please answer my question? It's due today!)

Answer:

18

Step-by-step explanation:

delta math

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine how long it will take for Louise to reach her goal of $30,000, we can use the formula for compound interest:

A = P * (1 + r/n)^(nt)

where:

A is the amount of money Louise will have after "t" years,

P is the initial investment of $20,000,

r is the annual interest rate of 4.28%,

n is the number of times the interest is compounded per year (12 times per year), and

t is the number of years.

We can rearrange this formula to solve for t:

t = (log(A/P)) / (log(1 + r/n))

Plugging in the values:

t = (log(30000/20000)) / (log(1 + (0.0428/12)))

t = 5.97 years

Rounding to the nearest tenth of a year, Louise will need to wait 6.0 years in order to reach her goal of $30,000.

Answer:

14.4 dollars

Step-by-step explanation:

If you buy an item at $18 dollars with a 20% discount, you will pay 18 - 3.6 = 14.4 dollars

Step-by-step explanation:

here's the answer to your question

DEFINITIONS

Algebraic word problems are questions that require translating sentences to equations. The equations we need to write will only involve basic arithmetic operations and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

SOLUTION STEPS

Step 1: Name the variable.

The variable, in this case, is n.

Step 2: Identify the mathematical operation in this mathematical statement.

Product refers to multiplication. Therefore, we will be using the multiplication operation for the question.

Step 3: Write out the algebraic expression for the statement: "The product of 7 and a number".

Since we are representing the number with n, the product of n and 7 will be given to be:

ANSWER:

The correct option is OPTION B.

Answer: See the attached image.

I've rearranged the tiles in the proper order

===================================================

Explanation

For step 2, we rewrite each expression in terms of sines and/or cosines. For instance, tan = sin/cos.

In step 3, we focus on the stuff in the numerator only. So we focus on sin/cos+cos/sin. In this step, we multiply top and bottom of the first fraction by sine. We multiply top and bottom of the second fraction by cos. These steps are done to get the LCD.

In step 4, we are able to add the fractions because both fractions have the same denominator.

In step 5, we use the pythagorean trig identity sin^2+cos^2 = 1.

In step 6, we use the idea that (A/B) divide by (C/D) = (A/B)*(D/C).

Answer:

Number: 28.25

Solution to Quadratic: \(x=\frac{9}{2}\pm\frac{\sqrt{113}}{2}}\)

Step-by-step explanation:

\(x^2-9x-8=0\)

\(x^2-9x-8+28.25=0+28.25\) <-- 28.25 is the number you need to add

\(x^2-9x+20.25=28.25\)

\((x-4.5)^2=28.25\)

\(x-4.5=\pm\sqrt{28.25}\)

\(x=4.5\pm\sqrt{28.25}\)

\(x=\frac{9}{2}\pm\sqrt{\frac{113}{4}}\)

\(x=\frac{9}{2}\pm\frac{\sqrt{113}}{2}}\)

Answer:

\(\frac{1}{10}\)

Step-by-step explanation:

\(a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001\)

\(r = \frac{a_2}{a_1}\)

\(r = \frac{0.01}{0.1}\)

\(r=0.1\)

The correct statement that explains why △ABC is congruent to △A′B′C′ is option 2: "You can map △ABC onto △A′B′C′ reflecting it across the line y = x and rotating it 90° counterclockwise about the origin, which is a sequence of rigid motions."

This is because the sequence of rigid motions described in option 2 involves a reflection across the line y = x, followed by a rotation of 90° counterclockwise about the origin. These are both examples of rigid motions, which means they preserve the shape and size of the triangle. Therefore, if you apply these two motions to triangle △ABC, you will end up with the congruent triangle △A′B′C′.

In contrast, options 1, 3, and 4 involve translations, which are not rigid motions and can change the shape and size of the triangle.

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Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.

To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.

Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.

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The expected value of a random variable represents the average value we would expect to obtain if we were to repeat the experiment many times. For a discrete random variable, such as the one you described, the expected value is given by the formula:

E(X) = Σ[x * P(x)],

where x is the possible values that the random variable can take, and P(x) is the probability of the random variable taking the value x.

In your case, the random variable X represents the number of occurrences of an event over an interval of ten minutes, and it is known that the mean number of occurrences in ten minutes is 5.3. Therefore, we can assume that the probability of an occurrence is λ/10, where λ is the average rate of occurrences per minute.

To find the expected value of X, we can use the formula:

E(X) = Σ[x * P(x)]

Since the number of occurrences can range from 0 to infinity, we need to consider all possible values of X. We can use the Poisson distribution to calculate the probability of each value of X, where the parameter λ is equal to 0.53, which is the average number of occurrences per minute.

Using the Poisson distribution formula, the probability of X taking the value x is given by:

\(P(X = x) = (e^(-λ) * λ^x) / x!\)

Substituting λ = 0.53, we have:

P(X = 0) = (e^(-0.53) * 0.53^0) / 0! = 0.5878

P(X = 1) = (e^(-0.53) * 0.53^1) / 1! = 0.3113

P(X = 2) = (e^(-0.53) * 0.53^2) / 2! = 0.0827

P(X = 3) = (e^(-0.53) * 0.53^3) / 3! = 0.0139

and so on...

We can then use the formula for expected value to find the expected value of X:

E(X) = Σ[x * P(x)] = (0 * 0.5878) + (1 * 0.3113) + (2 * 0.0827) + (3 * 0.0139) + ...

Evaluating this infinite sum (which can be done using a calculator or statistical software), we find that the expected value of X is approximately 5.59 occurrences per 10 minutes.

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Answer:

Since the opposite angles of a parallelogram are equal so...b=48

we also know that the sum of the interior angles of a parallelogram=360°

so... let a and the other angle be X

then

2x+2*48=360

2x=360-96=264

so.....X =132

which is your answer

Answer:

a=1

b=2

c=-8

y-intercept: (0, -8)

Line of symmetry calculation: x = -2/(2*1)

Line of symmetry: -1

Opens up because a > 0

Minimum

Vertex: (-1, -9)

Domain: -∞ < x < ∞ (no domain constraints)

Range: [-9, ∞]

Step-by-step explanation:

The probability that the mean length is less than 13.4 inches is approximately 0.9998.

To find the probability that the mean length of the 16 randomly chosen items is less than 13.4 inches, we need to use the Central Limit Theorem. According to the Central Limit Theorem, the distribution of sample means approaches a normal distribution as the sample size increases.

First, we need to calculate the standard error of the mean (SE). The formula for SE is:
SE = standard deviation / √sample size

In this case, the standard deviation is 2.2 inches and the sample size is 16. Plugging these values into the formula:
SE = 2.2 / √16
SE = 2.2 / 4
SE = 0.55

Next, we need to calculate the z-score, which measures the number of standard deviations a value is from the mean. The formula for the z-score is:
z = (x - mean) / SE

In this case, the value we are interested in is 13.4 inches, the mean is 12.3 inches, and the SE is 0.55. Plugging these values into the formula:
z = (13.4 - 12.3) / 0.55
z = 2 / 0.55
z ≈ 3.64

Finally, we need to find the probability associated with the z-score using a standard normal distribution table or calculator. The probability of the mean length being less than 13.4 inches is the probability to the left of the z-score of 3.64.

Looking up the z-score of 3.64 in a standard normal distribution table, we find the probability to be approximately 0.9998.

So, the probability that the mean length is less than 13.4 inches is approximately 0.9998.

The probability that the mean length of the 16 randomly chosen items is less than 13.4 inches is approximately 0.9998.

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The disjunction of -p or -q can be written as (-p) v (-q). So, we have to find the truth value of (-p) v (-q). So, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

using the following statements: p: There are 14 inches in 1 foot.

q: There are 3 feet in 1 yard.

Solution: We know that 1 foot = 12 inches, which means that there are 14 inches in 1 foot can be written as 14 < 12. But this statement is false because 14 is not less than 12. Therefore, the negation of this statement is true, which gives us (-p) as true.

Now, we know that 1 yard = 3 feet, which means that there are 3 feet in 1 yard can be written as 3 > 1. This statement is true because 3 is greater than 1. Therefore, the negation of this statement is false, which gives us (-q) as false.

Now, we can use the values of (-p) and (-q) to find the truth value of (-p) v (-q) using the disjunction rule. The truth value of (-p) v (-q) is true if either (-p) or (-q) is true or both (-p) and (-q) are true. Since (-p) is true and (-q) is false, the disjunction of (-p) v (-q) is true. Hence, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

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Answer:

0.08 divided by 13.56 = 0.00589970501.

Step-by-step explanation:

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Answer: 0.00589970501