Evaluate 4x +2y −9 when x=3 and y=6

To determine if the sunglasses have Polaroid filters or if they are simply tinted plastic, you can obtain a pair of known Polaroid sunglasses for comparison.


Find a light source, such as a desk lamp or the sun.
Look through both pairs of sunglasses at the light source.
Rotate both pairs of sunglasses simultaneously.
Observe the changes in brightness and glare as you rotate the sunglasses.
If the suspected sunglasses are Polaroid, you should notice a significant reduction in glare and brightness at certain angles of rotation.
In contrast, if the suspected sunglasses are tinted plastic, you may still observe some glare and brightness, regardless of the angle of rotation.

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The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.

Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.

From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.

Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.

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The exponent tells you how many times you multiply the number before it. So 2^3 is equivalent to 2*2*2. 2^3 is 8, and 3^2 is 9, 8*9 is 72.

Answer:

72

Step-by-step explanation:

simply use calculator if you want to get the answe faster

2^3 x 3^2

= 8 x 9

= 72

Answer:

please see photo above for details

(a) The equivalent capacitance of the combination is 17.0 µF.
(b) The potential difference across each capacitor is: C1 = 9V, C2 = 9V.
(c) The charge stored on each capacitor is: C1 = 54.0 µC, C2 = 99.0 µC.

(a) To find the equivalent capacitance \((C_eq)\) of capacitors connected in parallel, you can use the following formula:
\(C_eq = C1 + C2\)
\(C_eq = 6.00 \mu F + 11.0 \mu F\)
\(C_eq = 17.0 \mu F\)
(b) In a parallel connection, the potential difference (V) across each capacitor is equal to the voltage of the battey.

So,
\(V_C1 = V_{battery}  = 9V\)
\(V_{C2} = V_{battery}  = 9V\)
(c) To find the charge (Q) stored on each capacitor, you can use the following formula:
Q = C × V
For C1:
\(Q_{C1 } = C1 \times  V_{C1 }\)
\(Q_C1 = 6.00 \mu F \times  9V\)
Q_C1 = 54.0 µC
For C2:
\(Q_{C2}  = C2 \times  V_{C2 }\)
\(Q_C2 = 11.0 \mu F \times  9V\)
\(Q_{C2}  = 99.0 \mu C.\)

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(a) The equivalent capacitance of the combination is 17.0µF

(b) The potential difference across each capacitor is 9V.

(c) The charges stored on each capacitor are  54.0 µC and 99.0 µC

Given that

c₁ = 6.00 µF

c₂ = 11.0 µF

Battery = 9v

We have the equivalent capacitance of the combination to be

Equivalence = c₁ + c₂

So, we have

Equivalence = 6.00 µF + 11.0 µF

Evaluate

Equivalence = 17.0 µF

This is calculated as

Potential difference = battery

So, we have

Potential difference = 9v

This is calculated as

Q = C * V

So, we have

Q₁ = C₁ * V                           Q₂ = C₂ * V

= 6.00 * 9                                 = 11.0  * 9

= 54.0                                        = 99.0

Hence, the charges stored on each capacitor are  54.0 µC and 99.0 µC

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0.2691263  is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.90.

What is standard deviation in math?

We have to find here the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.90 i.e. P(p^>0.90).

Consider,

P(p^>0.90)=1- P(p^ ≤ 0.90)

=1-P((p^- μp )/σp ≤ (0.90-0.88)/0.03249615)

=1-P(Z ≤ 0.6154575) , where Z= ( p - μp)/σp ~ N ( 0,1 )

= 1-0.7308737  .......From standard normal distribution table

= 0.2691263

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Answer:

  40 ≤ e ≤ 100

Step-by-step explanation:

The range is the vertical extent of the graph. The solid dots at the ends mean those values are included in the range. The variable on the vertical axis is 'e', so the range can be written as ...

  40 ≤ e ≤ 100

_____

Additional comment

In interval notation, it is [40, 100]. The square brackets indicate the end values are included.

Answer:

$21.99

Step-by-step explanation: $28.39

                                            - $  6.40

                                          = $21.99  

Answer:

The answer is 3

Step-by-step explanation:

Answer:

\(3\)

Step-by-step explanation:

7-4=3

7+(-4) means 7-4

Hope it helps! :)

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Additional Comment

If you found my answer helpful, please mark Brainliest!

Answer:

Last option is the correct answer and no other else

Step-by-step explanation:

\( \angle \: 3 + \angle \: 4 = 180 \degree..(1) \\ ..(linear \: pair \: \angle' s) \\ \\ \angle \: 1+ \angle \: 2 = 180 \degree...(2) \\ ..(linear \: pair \: \angle' s) \\ \\ from \: equations \: (1) \: and \: (2) \\ \purple{ \bold{\angle \: 3 + \angle \: 4 = \angle \: 1+ \angle \: 2}}\)

Answer:

D and E

You weren't showing the full list of answers.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

The graph of the inequality y ≥ -√6x  is attached below.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

y ≥ -√6x

Find the coordinates by putting the value of x in the above inequality as shown below,

For x = 0, y ≥ 0

For x = 1, y ≥ -√6

For x = 2, y ≥ -2√6

For x = 3, y ≥ -3√6

For x = 4, y ≥ -4√6

For x = 5, y ≥ -5√6

For x = -1, y ≥ √6

Mark the above value on the graph, and find the solution.

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Answer: −8.68n−6.8

Step-by-step explanation: To find the opposite of 4+14.3n, find the opposite of each term. 5.62n−2.8−4−14.3n. Subtract 4 from −2.8 to get −6.8. 5.62n−6.8−14.3n. Combine 5.62n and −14.3n to get −8.68n. −8.68n−6.8.

Answer: the answer is -8.68n-68

Step-by-step explanation:

We can say with 90% confidence that the true population mean number of gallons sold to customers at Nale's Quick Fill lies between 5.27 and 5.53 gallons.

a. The point estimate of the population mean is simply the sample mean, which in this case is 5.40 gallons.

b. To develop a 90% confidence interval for the population mean, we need to first find the critical value of z from the z-distribution table. Since we want a 90% confidence interval, the level of significance is α = 0.10, which means we need to split this α/2 = 0.05 between the two tails of the distribution. From the table, the corresponding z-value for a 0.05 tail area is 1.645. We can use the formula: Confidence interval = sample mean ± (z-value x standard error), where the standard error is the population standard deviation divided by the square root of the sample size, or

\(2.50 / √55 = 0.336\)

Plugging in the values, we get:

Confidence interval =

\(5.40 ± (1.645 \times 0.336)\)

Confidence interval = (5.27, 5.53)

If we were to repeatedly take samples of size 55 from the population and compute the 90% confidence interval for each sample, we can expect 90% of these intervals to contain the true population mean.

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Answer:

V=w*h*l

Step-by-step explanation:

w=width

h=height

l=length

volume = w*h*l

volume = w*h*l

volume = w*h*l

The probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To solve this problem, we need to use conditional probability.

The probability of drawing a white ball on the first draw is 8/13 (since there are 8 white balls and 13 total balls in the urn).

If a white ball is drawn on the first draw, then there will be 7 white balls and 5 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a white ball was drawn on the first draw, is 7/12.

If a black ball is drawn on the first draw, then there will be 8 white balls and 4 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a black ball was drawn on the first draw, is 8/12.

Now we can use the law of total probability to find the overall probability of drawing a white ball on the second draw:

P(white on second draw) = P(white on first draw) * P(white on second draw | white on first draw) + P(black on first draw) * P(white on second draw | black on first draw)
= (8/13) * (7/12) + (5/13) * (8/12)
= 56/156 + 40/156
= 96/156
= 8/13

Therefore, the probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

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Answer: All of thé above

Step-by-step explanation:

Step-by-step explanation:

I don't know the words used in the answer options.

but what happens is

g(x) = f(x) + 3

you know, what the result of a function stand for ? the y value or coordinate.

g(x) is still the original f(x) in shape and size. but the resulting y is additionally increased by 3 consistently.

so, as result, the whole graph of f(x) moves up vertically by 3 units compared to the original f(x) graph.

h(x) = f(x - 2)

again, h(x) is still the original f(x) in shape and size. but now we are creating y values not for x itself but for an x value that is 2 units "before" the actual x value (in the sense when moving along the graph from left to right).

so, as result, the whole graph of f(x) moves right horizontally by 2 units compared to the original f(x) graph.

The discussion of the transformation from the graph of f to the graphs g(x) and f(x)+3 and h(x)-f(x-2) shown below

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

given:

f(x)=-3x+4.

g(x) = f(x) + 3

The coordinate or value for y.

f(x) original value and form still apply to g(x) but the outcome y is also consistently increased by 3.

Thus, in comparison to the original f(x) graph, the entire f(x) graph goes up vertically by 3 units.

Now, h(x) = f(x - 2)

Again, the size and form of h(x) are identical to those of f(x).

Nonetheless, we are now producing y values for an x value that is 2 units "before" the actual x value rather than for x itself (in the sense when moving along the graph from left to right).

Consequently, the entire f(x) graph shifts right by 2 units in comparison to the original f(x) graph.

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Answer:

answer is 63

Step-by-step explanation:

If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.

In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.

The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.

If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.

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Answer:

False.

Step-by-step explanation:

Use Pythagorean theorem.

919681+1022121=1067089

1941802≠1067089

so the triangle is acute, not right.

Answer:

161.7

Step-by-step explanation:

Using integration by parts, the integral of x sec²(-2x) dx is given as:

(-1/2) * x * tan(-2x) - (1/4) ln|cos(2x)| + C.

To find the integral of the function, let's evaluate the integral of x sec²(-2x) dx using integration by parts.

We start by applying the integration by parts formula:

∫u dv = uv - ∫v du

Let's choose:

u = x         (differentiate u to get du)

dv = sec²(-2x) dx     (integrate dv to get v)

Differentiating u, we have:

du = dx

Integrating dv, we use the formula for integrating sec²(x):

v = tan(-2x)/(-2)

Now we can substitute these values into the integration by parts formula:

∫x sec²(-2x) dx = uv - ∫v du

              = x * (tan(-2x)/(-2)) - ∫(tan(-2x)/(-2)) dx

              = (-1/2) * x * tan(-2x) + (1/2) ∫tan(-2x) dx

To simplify further, we can use the identity tan(-x) = -tan(x), so:

∫x sec²(-2x) dx = (-1/2) * x * tan(-2x) - (1/2) ∫tan(2x) dx

              = (-1/2) * x * tan(-2x) - (1/4) ln|cos(2x)| + C

Therefore, the integral of x sec²(-2x) dx is (-1/2) * x * tan(-2x) - (1/4) ln|cos(2x)| + C, where C is the constant of integration.

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The D7.60. source-coupled amplifier design can be demonstrated using only JFETs. The following is the solution to the problem using JFETs:

Consider the circuit given in Figure 1. The 5-k2 resistive load is terminated in a 100-F ac coupling capacitor at the output, and the input is dc coupled. JFETs of the 2N5486 type are used, with the source and gate matched. A high-impedance current source is required to attain the desired CMRR.

The Wilson current source shown in Figure 1, composed of Q3 and Q4, is utilized to bias the JFET pair. The active device differential pair amplifier with a CMRR of at least 70 dB at a frequency of 60 Hz is achieved through this design.

The following is the list of specifications that are met by this design:

CMRR ≥ 70 dB at a frequency of 60 Hz.

Though the DC gain is not specified, the DC bias is 2.5V, resulting in a gain of -10.95 dB from input to output.

The voltage gain of the amplifier is stable, since the values of the resistors and the capacitors have low tolerance values.

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Answer:

Area = 36 cm^2

Explanation:

The area of a parallelogram is the product of width and height

Now in our case w = 9 cm and h = 4cm; therefore, the area is

which is our answer!

Answer:

3 × 10^10

Step-by-step explanation:

43,600,000,000 × 75% = 0.75 × 43,600,000,000 = 32,700,000,000 =

= 3.27 × 10^10

Answer: 3 × 10^10

The limit is a positive finite number (i.e., not zero or infinity), the root test is inconclusive. Therefore, we cannot determine the convergence or divergence of the series using the root test alone.

To use the root test, we need to take the nth root of the absolute value of the nth term of the series. In this case, the nth term is (-8n)/(n^2 * 3^n).

Taking the nth root, we get:

[(|-8n|)/(n^2 * 3^n)]^(1/n)

= (8n)^(1/n) / (n^(2/n) * 3^(1/n))

As n approaches infinity, the denominator approaches 3^(0) = 1, so we are left with:

lim (n→∞) (8n)^(1/n)

Using the rule that the nth root of n approaches 1 as n approaches infinity, we can simplify further to:

lim (n→∞) 8^(1/n)

= 1
Since the limit of the nth root of the absolute value of the nth term is equal to 1, we cannot determine convergence or divergence using the root test.

We need to use another test, such as the ratio test or the comparison test.

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Answer: 45 fish

Step-by-step explanation:

To find the answer you would first convert the percentage into a decimal which would be 25% for this problem. Then you multiply the original price by the decimal. 60 x 0.25=15. Next you would subtract the discount from the original price which would be 60-15=45.

Hope this helped!!

The value of the given expression will be 3√5.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression c² = 45 will be solved as below:-

c² = 45

Take the square root of the number 45.

c = √45

c = √ 9 x √5

c = 3√5

Therefore, the value of the given expression will be 3√5.

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The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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