Which of the following equations is written in standard form?
A) 4x-2y=0
B) -8x+4y=1
C) -3y+x-4=0
D) 2+3x-6y=0

Answer: 64.3738

Step-by-step explanation:

for an approximate result, multiply the speed value by 1.609

Answer:

64.374 kph

Step-by-step explanation:

1 mph = 1.6093427125258 kph

40 x 1.6093427125258 = 64.373708501033 kph

H(3) means to replace x in the equation with 3 and then solve:

15(3) - 171

45-171

-126

Answer: -126

We can not conclude that there is a significant difference between the two population proportions. Option D is the appropriate one.

One of the most frequent approaches for assessing the difference between two population proportions is to compute a confidence interval. A confidence interval specifies the range of values that are most likely to include the real value of the population proportion. In this scenario, we get a calculated 99% confidence range of -0.025 to +0.109 for the genuine difference between two population proportions.

Finally, with 99% confidence, the estimated confidence interval of -0.025 to +0.109 does not give enough information to make any meaningful comment on the difference between the two population proportions.

Learn more about population proportions here:

https://brainly.com/question/24232216

#SPJ4

Answer:

The probability that the next customer will pay with a credit card will be 0.26 or 26%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.

Then the probability that the next customer will pay with a credit card will be

P

=

32

123

�

=

0.26

P=

123

32

P=0.26

More about the probability link is given below.

https://brainly.com/question/795909

Step-by-step explanation:

I hope this helps :-)

The conditions of the given vector function r are:

\(r"(t) = 8 cos 4ti + 9 sin 7tj + t^9, r(0) = i + k, r'(0) = i+j+ k.\)

Firstly, integrate r"(t) to get

\(r'(t)r"(t) = 8 cos 4ti + 9 sin 7tj + t^9r'(t)\) =

∫(r"(t))dt = ∫\((8 cos 4ti + 9 sin 7tj + t^9)dt.\)

The constant of integration is zero since r'(0) = i+ j+ k Given vector function

r(t)r(t) = ∫(r'(t))dt = ∫((∫(r"(t))dt))dtr(t) = ∫((∫\((8 cos 4ti + 9 sin 7tj + t^9)dt))dt\)

The constants of integration are zero since r(0) = i + k.To solve this integral, we need to integrate each term separately.

The first term = ∫\((8 cos 4ti)dt = (2 sin 4ti) + c1\)

The second term = ∫\((9 sin 7tj)dt = (-cos 7tj) + c2\)

The third term = ∫\((t^9)dt = (t^10)/10 + c3\)

Therefore, the vector function

\(r(t) = (2 sin 4ti)i + (-cos 7tj)j + ((t^10)/10)k + C\)

where C is a constant vector. Since r(0) = i + k,C = i + k

The final vector function is

\(r(t) = (2 sin 4ti)i - cos 7tj + ((t^10)/10)k + i + k\)

The vector function r that satisfies the given conditions is

\(r(t) = (2 sin 4ti)i - cos 7tj + ((t^10)/10)k + i + k.\)

Enter the components of r, separated with a comma.

\((2 sin 4ti),(-cos 7t),(t^10)/10 + 2i + 2k.\)

To know more about integrate  visit:

https://brainly.com/question/31954835

#SPJ11

Answer:

b

Step-by-step explanation:

Answer:

  (d)  1/√(s³)

Step-by-step explanation:

The expression can be simplified by making use of the rules of exponents.

The relevant rules are ...

  \(a^b\cdot a^c=a^{b+c}\\\\(a^b)^c=a^{bc}\\\\\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}\\\\a^{b/c}=\sqrt[c]{a^b}\)

The given expression can be simplified by applying these rules.

  \(\left(\dfrac{1}{s^{-1}\cdot s^8}\right)^{3/14}=\dfrac{1}{(s^{-1+8})^{3/14}}=\dfrac{1}{s^{7\cdot3/14}}=\dfrac{1}{s^{3/2}}=\boxed{\dfrac{1}{\sqrt{s^3}}}\)

Answer:

f(5) = 17

Step-by-step explanation:

Using the recursive rule and f(1) = 5 , then

f(2) = f(1) + 3 = 5 + 3 = 8

f(3) = f(2) + 3 = 8 + 3 = 11

f(4) = f(3) + 3 = 11 + 3 = 14

f(5) = f(4) + 3 = 14 + 3 = 17

domain of the function is (-∞, ∞)

When answering questions on the Brainly platform, it is important to always be factually accurate, professional, and friendly. In addition, you should be concise and provide a step-by-step explanation in your answer. Irrelevant parts of the question should be ignored, and the following terms should be used in your answer.To solve the inequality 72 - 72 > 1 X-1 X, we need to simplify the inequality as shown below:72 - 72 > 1 X-1 X0 > X - 1Since we want to get X alone on one side of the inequality, we need to add 1 to both sides:0 + 1 > X - 1 + 1X > 0Thus, the solution to the inequality 72 - 72 > 1 X-1 X is (0, ∞).To find all values of x for which the graph of f(x) = x² flies above the graph of g(x) = 2x + 48, we need to solve the inequality:f(x) > g(x)x² > 2x + 48We can rearrange this inequality as follows:x² - 2x > 48Now, we need to factor the left-hand side of the inequality:x(x - 2) > 48The inequality will be satisfied if x > 0 and x - 2 > 0 (i.e. x > 2), so the solution to the inequality is x > 2.The domain of the given function f(x) = 72 + x - x² is all real numbers, since there are no restrictions on the input value x. Therefore, the domain of the function is (-∞, ∞).

Learn more about Function

brainly.com/question/12431044

#SPJ4

Answer:

2

Step-by-step explanation:

find how many fourths are in a half:

1/2 = 2/4

if there's 2/4 in a half, then she filled two bottles

have a wonderful day :)

The probability of drawing a red sock from the drawer can be calculated by dividing the number of red socks by the total number of socks in the drawer.

In the given scenario, the drawer contains a total of (4 pairs of white socks) + (2 pairs of red socks) + (6 pairs of green socks) = 24 socks. Among these, there are 2 pairs of red socks, which means there are a total of 4 red socks in the drawer. Therefore, the probability of drawing a red sock from the drawer, with the lights out, is calculated as 4 red socks / 24 total socks = 1/6 or approximately 0.167.

Once a red sock is drawn and discovered, the drawer will have a reduced number of socks. Assuming the drawn sock is not replaced, there will be a total of 23 socks left in the drawer, including 1 red sock. Therefore, the probability of drawing another red sock to make a pair can be calculated as 1 red sock / 23 remaining socks = 1/23 or approximately 0.043. This represents the conditional probability, as it considers the outcome of the first draw and the reduced number of socks available for the second draw.

Learn more about pair here:

https://brainly.com/question/31875891

#SPJ11

Reflecting telescopes use mirrors to collect light. A refracting telescope uses lenses. There are many different types of reflectors, but generally all refractors follow the same basic design. Refracting telescopes use lenses to collect and focus light, much like binoculars.

Reflecting Telescope: -

A reflecting telescope (also called a retroreflector) is a telescope that uses one or a combination of curved mirrors that reflect light to form an image. Reflecting telescopes were invented by Isaac Newton in the 17th century as an alternative to refracting telescopes, which at the time suffered from severe chromatic aberration. Reflecting telescopes produce other types of optical aberrations, but are designed to allow very large diameter lenses. Most of the large telescopes used for astronomical research are reflectors. Many different geometries are used, some with additional optical elements to improve image quality or mechanically position the image. Because reflecting telescopes use mirrors, they are sometimes called reflecting telescopes.

The primary mirror is located in the reflector at the bottom of the tube, and the front surface is coated with a very thin metal film such as aluminum. The back of the mirror is usually glass, but other materials are sometimes used. Pyrex was the predominant glass of choice in many of the older large telescopes, but new technology has led to the development and widespread use of a variety of glasses with very low coefficients of expansion.

Refracting Telescope:

A refractor telescope is a type of optical telescope (also called a refractor telescope) that uses a lens as an objective lens to create an image. Refractor designs were originally used in binoculars and astronomical telescopes, but are also used in long focal length camera lenses.

Learn more about Refracting Telescope:

https://brainly.com/question/1135506

#SPJ4

Answer:

Two line are perpendicular when they are at right angles to each other.

The red line is perpendicular to the blue line in each of these examples:

Perpendicular Example

Step-by-step ex;planation:

The required probability of filling a cup between 25 and 31 ounces is 0.47721819

We need to find the z-score for the given limits and use the standard normal distribution formula.

z1​=(25−29)/σ = −4/σ

z2​=(31−29)/σ = 2/σ

Now, we have to find the probability that a cup contains between 25 and 31 ounces.

Using the standard normal distribution formula, we can find this probability as:

P(25 < X < 31) = P(z2​)−P(z1​) = P(2/σ)−P(−4/σ)

Using the standard normal distribution table, we can find the probabilities as:

P(z1​) = P(-4/σ) = 0.00003168

P(z2​) = P(2/σ) = 0.47724987

Thus, the probability of filling a cup between 25 and 31 ounces is:

P(25 < X < 31) = P(z2​)−P(z1​) = P(2/σ)−P(−4/σ)= 0.47724987 - 0.00003168 = 0.47721819.

Hence, the required probability of filling a cup between 25 and 31 ounces is 0.47721819.

To learn more about Probability, refer to:

https://brainly.com/question/32117953

#SPJ11

The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

Learn more about combinations here : brainly.com/question/28065038

#SPJ11

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The answer would be 78 degrees, or 70 degrees

Answer:

Given that,

Jenna is surveying the number of trucks in parking lots.

One parking lot has 9 trucks and a total of 36 vehicles.

The next parking lot has 104 vehicles.

To find the number of trucks based on her survey.

The number of trucks in relation to the total vehicle is given by,

The ratio of number of trucks to the total vehicle is 1/4, (based on the survey)

Given that, in the next parking lot has 104 vehicles.

Let n be the number of trucks.

we get,

we get,

The number of trucks is 26.

Answer is: option: D : 26.

Answer:

=4x4−2x2−3x+8

Step-by-step explanation:

Answer:

4x^4-2x^2-3x+8

Step-by-step explanation:

I'm pretty sure this is the answer

The predictions of the 2.3 million people who responded to the questionnaire turned out to be wrong, and Roosevelt won in a landslide. This error in the prediction occurred due to undercoverage and non-response.

The problem that occurred during the poll conducted by the magazine called Literary Digest in 1936 was the undercoverage and non-response. The magazine mailed questionnaires to 10 million people, and they mailed questionnaires to people whose mailing addresses were selected from telephone directories, country club memberships, and automobile registrations. However, only 2.3 million people returned the questionnaires to the magazine, and they predicted that Landon would win with 57% of the vote. The predictions of the 2.3 million people who responded to the questionnaire turned out to be wrong, and Roosevelt won in a landslide. This error in the prediction occurred due to undercoverage and non-response.

To know more about predictions visit:

https://brainly.com/question/27154912

#SPJ11

The division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 will have a quotient of 2x³ + x² +3x -5 and a remainder of 47 using the remainder theorem.

The remainder theorem states that if a polynomial say f(x) is divided by x - a, then the remainder is f(a).

We shall divide the 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 as follows;

x⁴ divided by 3x equals 2x³

3x + 4 multiplied by 2x³ equals 6x⁴ + 8x³

subtract 6x⁴ + 8x³ from 6x⁴ + 11x³ + 13x² - 3x + 27 will give us 3x³ + 13x² - 3x + 27

3x³ divided by 3x equals x²

3x + 4 multiplied by x² equals 3x³ + 4x²

subtract 3x³ + 4x² from 3x³ + 13x² - 3x + 27 will give us 9x² - 3x + 27

9x² divided by 3x equals 3x

3x + 4 multiplied by 3x equals 9x² + 12x

subtract 9x² + 12x from 9x² - 3x + 27 will give us -15x + 27

-15x divided by 3x equals -5

3x + 4 multiplied by -5 equals -15x - 20

subtract -15x - 20 from -15x + 27 will result to a remainder of 47

using the remainder theorem, x = -4/3 from the the divisor 3x + 4

thus:

f(-4/3) = 6(-4/3)⁴ + 11(-4/3)³ + 13(-4/3)² - 3(-4/3) + 27 {putting the value -4/3 for x}

f(-4/3) = (1536/81) - (704/27) + (208/9) + (12/3) + 27

f(-4/3) = (1536 - 2112 + 1872 + 324 + 2157)/81 {simplification by taking the LCM of the denominators}

f(-4/3) = (5919 - 2112)/81

f(-4/3) = 3807/81

f(-4/3) = 47

Therefore, the quotient of after the division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 is 2x³ + x² +3x -5 and there is the remainder of 47 using the remainder theorem.

Learn more about remainder theorem here:https://brainly.com/question/25289437

#SPJ1

The graph of the absolute value function f(x) = |x - 2| is given by the image presented at the end of the answer.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent absolute value function is given as follows:

f(x) = |x|.

Which has the format of the V-graph, with vertex at the origin.

f(x) = |x - 2| is a translation right two units of f(x) = |x|, hence the vertex will be at the point (2,0).

More can be learned about translations at brainly.com/question/28174785

#SPJ1

Answer:

The answer is "\(5x+10y+5z\)"

Step-by-step explanation:

Given value:

\(\to \frac{1}{2}(10x + 20y +10z)\)

Using the distributive property.

If there are three integers a,b and c then:

\(a \cdot(b+c) =a \cdot b + a \cdot c\)

\(\to \frac{1}{2}(10x) +\frac{1}{2}(20y+10z)\\\\\to (5x) +\frac{1}{2}(20y+10z)\)

Again apply the distributive property

 \(\to (5x) +(10y+5z)\\\\\to (5x+10y+5z)\)

Or

\(\to \frac{1}{2}(10x + 20y +10z)\)

take common 2 from the equation:

\(\to \frac{1}{2}\times 2 (5x + 10y +5z)\\\\\to (5x + 10y +5z)\\\)

Answer:

5x+10y+5z

Step-by-step explanation:

Both y(t) = 0 and y(t) = (1/16)t^4 are solutions to the initial value problem y' = t * y^(1/2), where y(0) = 0.

To verify if a function is a solution to a differential equation, we need to substitute it into the equation and check if it satisfies both the equation and the initial condition.

For y(t) = 0:
y'(t) = t * (0)^(1/2) = 0
Since y'(t) = 0, this satisfies the differential equation. Additionally, y(0) = 0 satisfies the initial condition.

For y(t) = (1/16)t^4:
y'(t) = t * [(1/16)t^4]^(1/2) = t * [(1/16)^(1/2) * t^2] = (1/16)t^3
This also satisfies the differential equation. And y(0) = 0 is satisfied as well.

The fact that both y(t) = 0 and y(t) = (1/16)t^4 are solutions to the initial value problem does not contradict any theorem. It simply means that there are multiple solutions to the differential equation.

The existence of multiple solutions is possible and consistent with the nature of certain differential equations, and it is not contradictory as long as each solution satisfies the equation and the initial condition.

Learn more about differential equation click here :brainly.com/question/14620493

#SPJ11

Answer: A

Step-by-step explanation:It is A because as you can see,D is -8,5 and E is -5,8.So D and E are the same but switched up.As for F it is -1,4 which is one odd and one even.If you look at A,The D and E are switched up and the F is one even one odd.

(I dont know how else to explain it but i have done this test before and it is A.)

good luck on the rest!

The error Justin made in his calculation is "He should have added the values in the numerator before dividing by 2".

The correct answer choice is option B

(x + y + 5) / 2

Where,

x and y are his parents’ current heights in inches,

Mom’s height = 54 inches

Dad’s height = 71 inches

Substitute into the expression

(71 + 54 + 5) / 2

= 130/2

= 65 inches

Justin's work:

( 71 + 54 + 5 ) / 2

= 71 + 27 + 5

= 103 inches

Therefore, Justin should have added the numerators before dividing by 2.

Read more on expressions:

https://brainly.com/question/1859113

#SPJ1

Answer:

B = 88 degrees

C = 44 degrees

Step-by-step explanation:

Answer:

B=88

C=44

Step-by-step explanation:

The probability that at least one bulb out of 12 will stop working during holiday season making all of lights go out on string is given by 0.2153.

Number of bulbs working throughout the holiday season = 12

Chance of each bulb working throughout the holiday season = 98%

Let A be the event that at least one bulb stops working during the holiday season, .

Making all of the lights go out, and let B be the event that all bulbs work throughout the holiday season.

Find P(A), the probability of event A.

Use the complement rule to find P(A),

P(A) = 1 - P(B)

To find P(B), we need to calculate the probability that each of the twelve bulbs works throughout the holiday season,

0.98¹² = 0.7847

So, the probability that all bulbs work throughout the holiday season is 0.7847.

This implies,

P(A) = 1 - P(B)

       = 1 - 0.7847

       = 0.2153

Therefore, probability that at least one bulb will stop working during  holiday season, making all of the lights go out on the string is 0.2153.

learn more about probability here

brainly.com/question/13369746

#SPJ4

Answer:

\(2(xy + 5)\)

Step-by-step explanation:

Rewrite 10 as 5.2

\( = 2xy + 5.2\)

Factor out common term 2

\( = 2(xy + 5)\)

Sorry I didn't understand "Brainliest ko pag tama ka" Please tell me in English in comments.