Westminster Street and Lake Avenue intersect. If Westminster Street is 7 meters wide and Lake Avenue is 5 meters wide, what is the distance between two opposite corners of the intersection? If necessary, round to the nearest tenth.

Step-by-step explanation:

log18 = log2 + log3 + log3 = x + 2y.

log9 = log3 + log3 = 2y.

Linda is currently 6 years old. According to the given information, we can write the following equation: x + 18 = 4x

Let's assume Linda's current age is x years. We are given that 18 years from now, Linda will be 4 times older than she is today.

So, 18 years from now, Linda's age will be x + 18.

Now, let's solve this equation to find Linda's current age.

Subtracting x from both sides of the equation gives us:

18 = 3x

Dividing both sides of the equation by 3 gives us:

x = 6

Therefore, Linda is currently 6 years old.

To verify our solution, we can check if 18 years from now Linda will be 4 times older than she is today:

6 + 18 = 24

4 * 6 = 24

As both sides of the equation are equal, our solution is correct.

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Real number \($x^2+y^2= \boxed{158}$\)

Let's start by using the formulas for arithmetic mean and geometric mean:

Arithmetic mean:

\($\frac{x+y}{2}=7 \Rightarrow x+y=14$\)

Geometric mean:

\($\sqrt{xy}=\sqrt{19} \Rightarrow xy=19$\)

Now, we can square the equation for the arithmetic mean:

\($(x+y)^2=14^2 \Rightarrow x^2+2xy+y^2=196$\)

Substituting\($xy=19$\), we get:

\($x^2+y^2+2(19)=196$\)

Simplifying:

\($x^2+y^2= \boxed{158}$\)

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Answer:

\(3.3*10^{-3}\)

Just like last time, you can convert them to their decimal forms, subtract, and convert back!

Hope this helps!

Brainliest please!

Answer:

3.3*10-3

Step-by-step explanation:

It seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

To compute the flux of the vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ through the surface S given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0, oriented toward the xz-plane, we can use the surface integral.

The surface integral of a vector field F⃗ over a surface S is given by the formula:

∬S F⃗ · dS = ∬S F⃗ · (n⃗ dS)

where F⃗ is the vector field, dS is the differential area vector, and n⃗ is the unit normal vector to the surface.

In this case, the surface S is given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0. We can parameterize this surface as:

r(x, z) = xi⃗ + yj⃗ + zk⃗ = xi⃗ + (x^2+z^2)j⃗ + zk⃗

To find the normal vector n⃗ to the surface, we can take the cross product of the partial derivatives of r(x, z) with respect to x and z:

n⃗ = ∂r/∂x × ∂r/∂z

= (1i⃗ + 2xj⃗) × (0i⃗ + 2zj⃗)

= -2xz i⃗ + 2zj⃗ + 2xk⃗

Now, we can calculate the flux:

∬S F⃗ · (n⃗ dS) = ∬S (3(x+z)i⃗ + 2j⃗ + 3zk⃗) · (-2xz i⃗ + 2zj⃗ + 2xk⃗) dS

= ∬S (-6x^2z - 4xz + 6xz^2 + 6xz) dS

= ∬S (-6x^2z + 2xz + 6xz^2) dS

To evaluate this integral, we need to determine the limits of integration for x, y, and z.

Since the surface is defined by 0≤y≤16, x≥0, z≥0, we have:

0 ≤ y = x^2 + z^2 ≤ 16

Simplifying the inequality, we get:

0 ≤ x^2 + z^2 ≤ 16

From this, we can see that x and z both range from 0 to 4.

Now, we can evaluate the flux:

∬S (-6x^2z + 2xz + 6xz^2) dS = ∫∫ (-6x^2z + 2xz + 6xz^2) dA

where dA is the differential area.

Integrating over the limits 0 ≤ x ≤ 4 and 0 ≤ z ≤ 4, we can calculate the flux.

However, it seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

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A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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Answer:↓↓↓

Step-by-step explanation:

We are given that side AB is congruent to BD. We are also given that side AC is congruent to CD.

We know that side BC and side CB are congruent because of the Reflexive property.

Therefore, ΔABC and ΔDBC are congruent because of SSS Postulate.

Hope this helped!

In the given the function,  we have to solve: f(s) = 145² + 565 +152 (5+6) (5²+45+20)" 11 F(s) = 8(5+1)² (5² +10s +34) (5² +8s + 20).

Calculation:

\(\[152(5+6)(5^2+45+20) = 152(11)(70) = 118,480\]\[145^2 = 21,025\]\[565 = 565\]\)

Therefore, \(f(s) = 210,252 + 565 + 118,480 = 329,297\).

Now, we need to find \(f(t)\) where \(t = 5\). We substitute \(s = 5\) into the function \(f(s)\):

\(\[f(t) = 8(5+1)^2(5^2 + 10(5) + 34)(5^2 + 8(5) + 20)\]\[f(t) = 8(6)^2(5^2 + 50 + 34)(5^2 + 40 + 20)\]\[f(t) = 8(36)(25 + 50 + 34)(25 + 40 + 20)\]\[f(t) = 8(36)(109)(85)\]\[f(t) = 266,160\]\)

Therefore, the value of \(f(t)\) is 266,160.

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Answer:

189 seconds

Step-by-step explanation:

16% shorter,

Left side first and second group is 2.5% and 13.5% = 16%

189 is the max of that group

16% of videos on the streaming site are shorter than 189 seconds.

To determine the length at which 16% of videos are shorter, we can use the properties of a normal distribution.

Given that the mean length is 264 seconds and the standard deviation is 75 seconds, we can use a Z-score to find the corresponding percentile.

First, we need to find the Z-score associated with the 16th percentile. This can be done using a Z-table or a statistical calculator. The Z-score corresponding to the 16th percentile is approximately -0.9945.

Using the formula for Z-score:

Z = (X - μ) / σ,

where X is the length of the video, μ is the mean, and σ is the standard deviation, we can rearrange the formula to solve for X:

X = Z * σ + μ.

Substituting the values:

X = (-0.9945) * 75 + 264,

X ≈ 189 seconds.

Therefore, approximately 16% of videos on the streaming site are shorter than 189 seconds. So, the correct answer is 189 seconds.

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The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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Answer:

If they lie in the same plane

Here, we are supposed to find the value of the stock. Let's begin by determining the expected dividends: Expected dividends1st year dividend (D1)

= $1.55(1 + 26.56%)

= $1.96Second-year dividend (D2) = $1.96(1 + 26.56%) = $2.48Third-year dividend (D3)

= $2.48(1 + 26.56%)

= $3.

= D1/(1+r)^1 + D2/(1+r)^2 + D3/(1+r)^3 + D4/(1+r)^4...∞Where r

= required rate of return Let us substitute the values now PV of the future dividends

= $1.96/(1 + 14.40%)^1 + $2.48/(1 + 14.40%)^2 + $3.14/(1 + 14.40%)^3 + $3.25/(1 + 14.40%)^4...∞PV of the future dividends = $1.96/1.1440^1 + $2.48/1.1440^2 + $3.14/1.1440^3 + $3.25/1.1440^4...∞PV of the future dividends

= $1.72 + $1.92 + $2.04 + $1.86...∞PV of the future dividends

= $7.54We know that the value of the stock is the present value of the expected dividends, so we can calculate it as follows: Value of the stock

= PV of the future dividends Value of the stock

= $7.54

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Specify primary audio , secondary audio (sound effects/music), and background audio (ambient music) in the storyboard. Note scenes with surrounding noise, use an external microphone for recording, and plan additional music for editing.



In storyboarding for an ad firm, Eric needs to consider three types of audio: primary audio, secondary audio, and background audio. Primary audio refers to the main audio component that drives the narrative or delivers important information in the ad. This can include dialogue, voiceover, or any sound directly related to the main subject. Secondary audio supports the primary audio and adds depth to the storytelling. It can include sound effects, ambient noise, or music that complements the visuals. Background audio provides the overall atmosphere and mood of the ad. It can include ambient music or soundscapes that create the desired emotional tone.

Additionally, Eric should make notes of scenes where surrounding noise is required. This means capturing the environmental sounds that enhance the authenticity and realism of the ad, such as street noise, nature sounds, or crowd reactions. He should also consider using an external microphone to simultaneously record audio while filming the video. This ensures high-quality audio capture and reduces the reliance on the camera's built-in microphone, which may not provide optimal sound recording. Lastly, Eric can make a note of any additional music he intends to add during the editing process. This can involve selecting appropriate background tracks, jingles, or any other musical elements that enhance the overall impact of the ad. By carefully considering these audio aspects during storyboarding, Eric can create a compelling and immersive ad experience for the audience.

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hope it helps you and plz mark me brilliantest

Step-by-step explanation:

m<2

The length of line segment JK is 6.

To find the length of line segment JK, we need to determine the value of x first. We can use the information given about line segment KL and line segment JL.

Given:

JL = 4x + 2

KL = 5x - 6

JK = 3x

We know that JK + KL = JL, so we can set up the equation:

3x + (5x - 6) = 4x + 2

Simplifying the equation:

3x + 5x - 6 = 4x + 2

8x - 6 = 4x + 2

8x - 4x = 2 + 6

4x = 8

x = 2

Now that we have the value of x, we can substitute it back into JK to find its length:

JK = 3x = 3(2) = 6

Therefore, the length of line segment JK is 6.

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Answer:

b is the right answer

Step-by-step explanation:

plz can u follow and make brainliest answer and like and thx to u

Answer:

A. 1 2/3

Step-by-step explanation:

I thought of it backwards and did 1 and 2/3 + 3 and 1/3 = 4 and 3/3

and that turns into 5

99% confidence interval for the number of chocolate chips per cookie is

15.4 ± 1.1115

The mean of sample plus and minus the range of that sample constitutes a confidence interval.

Within a specific level of confidence, this is the range of values anticipated to fall within, if the test is repeated.

Number of cookies in the sample n = 55

Mean μ = 15.4

Standard deviation s = 3.2

Confidence = 99%

For 99% confidence interval Z-value = 2.576

Confidence interval

= μ ± Zs/√n

= 15.4 ± 2.576×3.2/√55

= 15.4 ± (8.2432/7.4162)

= 15.4 ± 1.1115

Hence, 15.4 ± 1.1115 is the 99% confidence interval for the number of chocolate chips per cookie.

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Answer: (-2,1)

Step-by-step explanation: Easy stuff

Step-by-step explanation:

(a) Sum is -4

4 + (-8)

4 - 8

-4

(b) Sum is 0

1 + (-1)

1 - 1

0

(c) Difference is 2

10 - 8

2

(d) Difference is -6

10 - 16

-6

Answer:

A: x+y=-4

B: x+y=0

C: x-y=2

D: x-y=-6

Step-by-step explanation:

On a and b, we are adding 2 unknown values, so we have x+y=-4 for a and x+y=0 for b. On c and d, we are subtracting 2 unknown values, so we have x-y=2 for c and x-y=-6 for d

Answer:

35 miles

Step-by-step explanation:

You add up all of the miles on the chart to get 35 miles. Have a great day! I hope this helped.

Option D is the correct.

The given function f: R → R with the rule f(x) = 3x + 2. Let R represent the set of all real numbers.

What is a function?

A function is defined as the set of ordered pairs in which each first element of the ordered pair maps to one unique second element of the ordered pair.

What is an injective function?

A function f(x) is called one-to-one or an injective function, if and only if each and every element of the function domain is paired with exactly one element of the function range.

What is a surjective function?

A function f(x) is called onto or a surjective function, if and only if each and every element of the function range is paired with at least one element of the function domain.

What is a bijective function?

A function f(x) is called a bijection or a bijective function if it is both injective and surjective.

The given function is a function because for every x in R, there is exactly one image (3x+2) in R.

Let x₁, x₂ be two distinct real numbers in R, then3x₁ + 2 ≠ 3x₂ + 2, which implies f is injective or one-to-one.

Therefore, the given function f is both an injective function and a surjective function.

So, the function is a Bijective function

Option D is the correct choice. The given function f: R → R with the rule f(x) = 3x + 2 is Bijective function.

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answer: d

explanation: it just is

Answer:

63 ft^2

Step-by-step explanation:

3x3 + 6x9 = 63 ft^2

Answer:

7.65

Step-by-step explanation:

Brand A:

442(times)0.17=75.14 each month

Brand B:

397(times)0.17=67.49 each month

75.14-67.49=7.65

Ms.Lee would save 7.65 each month with brand B

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Answer:

465

Step-by-step explanation:

Answer:

Step-by-step explanation:

365

+100

465

He made the mistake on line 1.

2x^2 - 8x + 5....move the 5 to the other side

2x^2 - 8x = -5....now divide by 2

x^2 - 4x = -5/2

x^2 - 4x + 4 = -5/2 + 4

(x - 2)^2 = -5/2 + 8/2

(x - 2)^2 = 3/2

x - 2 = (+-)sqrt 3/2

x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2

He made mistake on line 1.

Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27

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