A particle is moving with the given data. Find the position of the particle.

a(t) = 2t + 9, s(0) = 8, v(0) = −4

Factors other than independent variables which may act on the dependent variable , when these factors vary systematically with independent variable they are known as confounds variables or extraneous variable.

Therefore, factors which vary systematically with the given independent variable is called  confounds variables or extraneous variable.

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To express 226.8 million in 2 significant figures, we can simply round the number to 230 million.2. a. To simplify 3(6a + 3b) + 5(2a – b), we need to apply the distributive property of multiplication over addition, and simplify each term.

So:3 (6a + 3b) + 5(2a – b)

= (3*6a + 3*3b) + (5*2a – 5b)

= (18a + 9b) + (10a – 5b) Then, we can add up the like terms:

18a + 10a + 9b – 5b

= 28a + 4bThus, 3(6a + 3b) + 5(2a – b) simplifies to 28a + 4b.b. To expand (m + 5n)(m – 3n), we need to apply the distributive property of multiplication over addition:

(m + 5n)(m – 3n)

= m(m – 3n) + 5n(m – 3n).

Then, we need to simplify each term:

m(m – 3n)

= m^2 – 3mn, and

5n(m – 3n)

= 5mn – 15n^2. Finally, we add up the like terms:

m^2 – 3mn + 5mn – 15n^2

= m^2 + 2mn – 15n^2. Thus, (m + 5n)(m – 3n) expands to m^2 + 2mn – 15n^2.

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Answer:

Not a function

Step-by-step explanation:

Fails the vertical line test since there are multiple outputs that exist for single inputs.

Answer:

hm its not a function

Step-by-step explanation:

i alr did this one so youll get it right dw:) also bc the lines arent vertical

The value of h is 6.

Step-by-step explanation:

Step-by-step explanation:

A 44 square cantimeters

As a result, the probability that individuals spend between 24.7 as well as 25.5 minutes per day on average reading books is roughly 0.919, or 91.9%.

The probability that an occurrence will occur is determined by probability: P(A) = f / N. Probability and odds are linked, but probability determines what the percentages are.

Given:

Sample size (n) = 50

Sample mean (x) = 25 minutes

Standard deviation (σ) = 1.5 minutes

Range of interest: 24.7 minutes ≤ x ≤ 25.5 minutes

To find the probability that the mean time spent reading each day is between 24.7 and 25.5 minutes, we need to standardize the sample mean using the Central Limit Theorem and the z-score formula:

z = (x - μ) / (σ / √(n))

where μ is the population mean (unknown), σ is the population standard deviation (known), and √(n) is the square root of the sample size.

We can approximate the population mean with the sample mean since the sample size is large (n ≥ 30) and assume a normal distribution for the sample mean.

First, we standardize the lower bound of the range:

z1 = (24.7 - 25) / (1.5 / √(50)) = -1.76

Then, we standardize the upper bound of the range:

z2 = (25.5 - 25) / (1.5 / √(50)) = 1.76

Using a standard normal distribution table or calculator, we can find the area under the curve between z1 and z2:

P(-1.76 ≤ z ≤ 1.76) ≈ 0.919

Therefore, the probability that the mean time people spend reading books each day is between 24.7 and 25.5 minutes is approximately 0.919 or 91.9%.

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Answer:

The slope of the line is 11/2

remember, rise over run.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

\(m=\frac{11}{2}\)

Step-by-step explanation:

Hi there!

~

\(( 2x + 3y)^2\)

\(= (2x + 3y) (2x + 3y)\\= (2x)(2x)+ (2x) (3y) + (3y)(2x) +(3y)(3y)\\=4x^2 + 6xy + 6xy + 9y^2\\= 4x^2 + 12xy + 9y^2\)

Answer : \(4x^2 + 12xy + 9y^2\)

Hope this helped you!

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{-\frac{3}{5}})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-\frac{3}{5})}=\stackrel{m}{- 1}(x-\stackrel{x_1}{0}) \implies y +\cfrac{3}{5} = - 1 ( x -0) \\\\\\ y+\cfrac{3}{5}=-x\implies y=-x-\cfrac{3}{5}\)

Answer:

y = -x-3/5

Step-by-step explanation:

We are given that a line goes through the point (0, -3/5) and has a slope (m) of -1.

We want to find the equation of this line.

Notice how the answers are written in slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y-intercept.

As we are given the slope, we can immediately plug that into the equation.

Substitute m as -1.

y = -1x + b

We can rewrite it to become:

y = -x + b

Now, notice that (0, -3/5), the point we are given is the y-intercept of the line (as the value of x is 0).

So, substitute -3/5 as b in the equation.

y = -x-3/5

The answer is the first one :).

Answer: 50.24 mm

Step-by-step explanation:

Circumference= 2πr

C = 2 x 3.14 x 8mm

C = 50.24 mm

Answer:

Step-by-step explanation:

d=16mm

therefore r=8mm

therefore circumference = 2pi r = 2* 3.14*8

=50.42cm

hope it helps

Kylie earns 5.80 dollars more than Kayla per hour

As per the given curvature, the value of PC is 1785.68 and PT is 1787.55

Curvature:

In statistics, curvature means amount by which a curve deviates from being a straight line, or a surface deviates from being a plane.

Given,

PI is at station (20 00), the radius of curvature is 800 feet, and the angle of curvature is 30 degrees.

Here we need to determine the value of PC and PT.

According to the given value, the tangent distance is calculated as,

=> T = 800 x tan (30/2)

=> T = 800 x 0.2679

=> T = 214.32

Now, the value of PC is calculated as,

PC = PI - T

=> PC = 2000 - 214.32

=> PC = 1785.68

And the value of PT is calculated as,

PT =  PC + L

=> PT = 1785.68 + (100 x (30/1600))

=> PT = 1785.68 + 1.875

=> PT = 1787.55

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Answer:

yes they are equivalent.

Step-by-step explanation:

6x6=36

10x6=60

by using the same factor we can tell that they are equivalent. We can also get to the answer by dividing 36 and 60.

Answer:

A car can travel 4800 miles in 60 hours

Step-by-step explanation:

Answer:

4800

Step-by-step explanation:

if the car drives 320 in 4 hours that means it travels 80 miles for 2 hour. multiply 80 by 60 and get 4800

Answer:

Baker's Best

Step-by-step explanation:

Given data

For Baker's Best  

5 biscuits and costs $0.69 per can

The cost per  biscuits

=0.69/5

=$0.14 per  biscuit

For Butter Bee Canned

8 biscuits and costs $1.29 per can

The cost per  biscuits

=1.29/8

=$0.16 per  biscuit

Hence the best buy is Baker's Best which offers $0.14 per biscuit

An equation that represents the value of the stamp is V(t) = V₀ * (1 + r)ˣ

The value of the stamp after 10 years would be approximately $56.34.

First, let's denote the initial value of the stamp as V₀ and the number of years as t. In this case, V₀ is equal to $50. The annual increase rate is given as 1.2%, which can be expressed as 0.012 in decimal form.

Now, we can start building the equation. Since the value of the stamp increases every year, we need to add the rate of increase to the previous year's value. Mathematically, this can be represented as:

V(t) = V₀ + (V₀ * r) + (V₀ * r) + ... + (V₀ * r)

Here, V(t) represents the value of the stamp after t years, and r represents the rate of increase (0.012 in decimal form).

Since the rate of increase remains constant at 1.2% each year, we can simplify the equation using exponential notation:

V(t) = V₀ * (1 + r)ˣ

Now we have an equation that represents the value of the stamp after t years, where V₀ is the initial value ($50), r is the rate of increase (0.012), and x is the number of years.

To find the value of the stamp after 10 years, we substitute t = 10 into the equation:

V(10) = $50 * (1 + 0.012)¹⁰

Calculating this equation will give us the value of the stamp after 10 years. Let's perform the calculation:

V(10) = $50 * (1.012)¹⁰

V(10) ≈ $50 * 1.1268250301

V(10) ≈ $56.34

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Answer:

565,482

Step-by-step explanation:

As the mosquito population grows by a constant rate of 6% each day, we can use the exponential growth formula to create an equation to find the number of mosquitoes in the city "t" days after May 10th.

\(\boxed{y=a(1+r)^t}\)

where:

Given the size of the mosquito population on May 10th is 210,000:

Given the growth rate is 6%:

Substitute the values of a and r into the formula to create an equation for the number of mosquitos in the city "t" days after May 10th.

\(y=210000(1+0.06)^t\)

\(y=210000(1.06)^t\)

To calculate how many mosquitoes will inhabit the city on May 27th, substitute t = 17 into the equation.

\(\implies y=210000(1.06)^{17}\)

\(\implies y=210000(2.69277278...)\)

\(\implies y=565482.285011...\)

\(\implies y=565482\; \sf(nearest\;whole\;number)\)

Therefore, the number of mosquitoes that will inhabit the city on May 27th is approximately 565,482 to the nearest whole number.

Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

The division of the numbers 273.23÷36 yields the value 7.589.

Long division in mathematics is a strategy for breaking down complicated division problems into a series of simpler steps. It is the approach that division-based issues are often solved with. Much like the usual division questions, the dividend is divided by the divisor which yields a result known as the quotient, and occasionally it gives a remainder too.

The given expression is:

273.23÷36

Divide the number 273.23 with 36 and write the remainder at the bottom.

Again, divide the remainder with 36, until further reduction is not possible.

Hence, the division of the numbers 273.23÷36 yields the value 7.589.

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Answer:

\(4x\left(x^2-3x+1\right)\)

\(Distribute\:parentheses\)

\(\mathrm{Apply\:minus-plus\:rules}\)

\(Simplify\)

Answer:

n = -10

Step-by-step explanation:

4 - n = 14

Subtract 14 from both sides.

4 - 14 - n = 0

Add n to both sides.

-10 = n

So, n = -10

Answer:

y=5 x=-2

Step-by-step explanation:

the easiest answer would be a vertical or . horizontal line

Answer:

400

Step-by-step explanation:

240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%

Answer:

400

Step-by-step explanation:

60/100  =  240/?

Bat and Ball ( when do proportional table make a x like shape between/through each number. The number going diagainal multiplies, number next to number is used to divide the product of the diagainal numbers.)

240 x 100 = 24,000

24,000 divided 60 = 400

400 were survreyed

Answer:

answers are given below

Step-by-step explanation:

Stem      Leaf

4             46688

5             2357789

6             5688

7              4689

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

\(\mathrm {\dfrac{1}{5} \; or\; 0.2 \; in \; decimal}\)

Step-by-step explanation:

We are asked to find \(\dfrac{6.4}{34}\)

Multiply numerator and denominator by 10 to convert them to whole numbers

\(\dfrac{6.8}{34} = \dfrac{6.8 \times 10}{34 \times 10} = \dfrac{68}{34 \times 10}\\\\= \dfrac{68}{34} \times \dfrac{1}{10}\\\\= 2 \times \dfrac{1}{10}\\\\= \dfrac{2}{10}\\\\= \dfrac{1}{5}\\\\= 0.2\)

Step-by-step explanation:

Coordinate referrals and advocate with partner organizations supporting GBV survivors to provide confidential services to clients, in accordance with their wishes, GBV guiding principles and informed consent.

∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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