which equation represents the distance (d) tom can walk for any given amount of time (t)?​

Answer:   40cm

Step-by-step explanation:

Answer:

both sides of the equation.

The solution of the equation is

.

Check the solution by substituting

for g and simplifying.

Step-by-step explanation:

What steps are used to solve the equation?

g – 8 = 14

Complete the statements.

First,

both sides of the equation.

The solution of the equation is

.

Check the solution by substituting

for g and simplifying.

Answer:

Step-by-step explanation:

What steps are used to solve the equation?

g – 8 = 14

Complete the statements.

First,  

✔ add 8 to

both sides of the equation.

The solution of the equation is  

✔ g = 22

.

Check the solution by substituting  

✔ 22

for g and simplifying.

The length of CB is 3 unit.

In the given figure ;

By SAS property of similar of triangles,

ΔCED and ΔCAB are similar.

Therefore,

CE/CB = DE/AB = DC/AC

⇒ CE/CB = DC/AC

⇒ 2/CB = 2.4/3.6

⇒ CB = (3.6/2.4)X2 = 3

Hence CB = 3

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Answer:

3/4

Step-by-step explanation:

The probability that exactly 17 households own a DVD player is 0.0124.

Given:

The probability that a house hold in centercity owns a DVD player is = 53%.

So, p = 0.53

The probability that a house hold in centercity does not own a DVD player is = 100% - 53% = 47%

So, q = 0.47

The sample size is 22 households in the city.

So, n = 22

We have to calculate the probability that exactly 17 households own a DVD player.

So, r = 17

The formula to be used in binomial experiment is:

P (r) = \(\frac{n!}{r! (n -r)!}\) × \(p^{r}\) ×\(q^{n-r}\)

The probability that exactly 17 households own a DVD player will be,

= \(\frac{22!}{17! (22 - 17)!}\) × \(0.53^{17}\) ×\(0.43^{22-17}\)

= \(\frac{22!}{17! (5)!}\)× \(0.53^{17}\) ×\(0.43^{5}\)

= 0.0124

Therefore, the probability that exactly 17 households own a DVD player is 0.0124.

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Answer:

180 dollars

Step-by-step explanation:

270 for 16 hours = 16.875 dollars for each hour

15.00 an hour will be paid to larry

larry is doing 3/4 of those 16 hours

12 hours

15 x 12

larry gets 180 dollars for 12 hours of work

hope this helps x

Answer:

range

Step-by-step explanation:

In the function f(x) = 2 * (x - 4) ^ 2 + 3, the constant 2 determines the steepness or narrowness of the parabola, while the constant 4 determines the horizontal shift of the parabola, and the constant 3 determines the vertical shift.

The function f(x) = 2 * (x - 4) ^ 2 + 3 represents a parabola. The constant 2 in front of the parentheses determines the steepness or narrowness of the parabola. A larger value of 2 will result in a steeper parabola, while a smaller value will make it wider.

The constant 4 inside the parentheses determines the horizontal shift of the parabola. It indicates how much the parabola is shifted to the right or left. In this case, the parabola is shifted 4 units to the right, as indicated by the (x - 4) term.

Lastly, the constant 3 at the end of the equation determines the vertical shift of the parabola. It represents how much the parabola is shifted upward or downward. In this case, the parabola is shifted 3 units upward.

By adjusting these constants, we can modify the shape, position, and orientation of the parabola represented by the function, allowing us to accurately represent various types of parabolic relationships between variables.

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we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer: 6.40 = c

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 4^2 = c^2

25 + 16 = c^2

41 = c^2

  ____

_/ 41  = c

6.40 = c

Answer:

what are the options?

Answer:

x + 1 + x + 2+ x + 3 + x + 4

4x + 10

2( 2x + 5)

hope it helps

The person who administers the drug will deliver:

Dosage administration is calculated by the formula:

D/H  × Q = X

Where;

D = Amount of the drug ordered by the physician

H =  Dosage strength or the supply currently available

Q = Unit being measured

X = The unknown dosage

Now, or the figures are converted to ml

50 mg = 0.05 ml

4 g = 4ml

8 oz = 236.56 ml

Plugging these into the formula, the unknown quantity, X will be

= 0.05 ml/ 4m × 236.56 ml

= 2.956 ml.

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

Work Shown:

x = speed on 1st half of the trip

distance = rate*time

90 = x*t

t = 90/x

She spent 90/x hours driving on the 1st half of the trip

1.5x = speed on the 2nd half of the trip

d = r*t

t = d/r

t = 90/(1.5x)

t = 60/x

She spent 60/x hours driving on the 2nd half of the trip

Overall, she spent 90/x+60/x hours driving the entire 180 mile trip.

Edit:

That expression simplifies to 150/x since 90+60 = 150

Answer:

9<2n

Step-by-step explanation:

The is answer 9<2n

fgyhujiugytdfyguhijokjohgyiuhojpugjuhiljhjvgijo;jlkbhijlhvjghiovjguhikvkhlkghohgvjyiogiig

Answer and Step-by-step explanation:

The answer is the last answer choice.

g(x) = \(-(x + 2)^2 + 1\)

We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.

The equation for a transformed function is:

f(x) = \(a(x-h)^2 + k\)

a determines the scale of the graph and whether the graph opens up or down.

h determines whether the graph shifts left or right.

k determines whether the graph shifts up or down.

We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.

k is a positive 1, so the graph will be shifted up 1 unit.

Thus, the answer is the last answer choice.

#teamtrees #PAW (Plant And Water)

Answer:

\(g(x)=-(x+2)^{2} +1\)

Answer:

The number 10/2 = 5 is an integer.

Step-by-step explanation:

An integer is a whole number which cannot be expressed in fractions. For example, 1, 2, 3...

Integer can be positive,  negative of zero.

\(\frac{10}{2}=5\)

It is a whole number so it is an integer.

- 0.3

It is not an integer as it has a fractional part.

\(\sqrt20\)

It also has a fractional part, so it is not an integer.

0.4

It also has a fractional part, so it is not an integer.

The shaded part is 3 column

There are 10 columnn in total.

The number of grids are 100 and shaded grids are 30

Thus the fraction of shaded portion is:

3/10.

The decimal form is 0.3.

the vertical asymptote is x = -4 (option 2)

The vertcal asymptote of a function, is the value of x when the denominator is equated to zero:

The x - intercept is the value of x when f(x) = 0

The y-intercept is the value of f(x) when x = 0

Comparing the results we got and the options, the only option that has same answer as our calculation is the vertical asymptote is x = -4 (option 2)

Answer:

slope = rise /run

Step-by-step explanation:

hysnsk

The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2

where (h, k, l) represents the center of the sphere and r represents the radius.

First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:

√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:

√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]

Simplifying, we get:

√[1 + 25 + 4] = √30

Therefore, the radius of the sphere is √30.

Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30

So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

This equation represents all the points on the sphere's surface.

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Answer:

a)30

b)25

Step-by-step explanation:

ratio of red socks and total sock is 1:6 so, lets show this as,

1k and 6k.

1k-------5

6k------x

x=30

a)total socks = 30

b)black socks =total-red socks=30-5=25

Answer:

12:15

16:20

20:25

Step-by-step explanation:

4 Nike : 5 Adidas

times 3 = 12:15

times 4 = 16:20

times 5 = 20:25

Answer:what

Step-by-step explanation:what does this mean

Answer:

44.8 feet

Step-by-step explanation:

The exponent rules are given below.

We are given that;

To state exponent rules

Now,

Exponent rules are the laws or principles that govern the operations on numbers or variables with exponents. An exponent is a number or a variable that tells how many times to use the base in a multiplication.

There are different exponent rules for different situations, such as multiplying, dividing, raising to another power, or having a negative or fractional exponent. Here is a table of some common exponent rules with examples:

| Rule | Example |

\(| x^1 = x | 6^1 = 6 |\)

\(| x^0 = 1 | 7^0 = 1 |\)

\(| x^-1 = 1/x | 4^-1 = 1/4 |\)

\(| x^m * x^n = x^(m+n) | 2^3 * 2^4 = 2^(3+4) = 2^7 |\)

\(| x^m / x^n = x^(m-n) | 2^5 / 2^3 = 2^(5-3) = 2^2 |\)

\(| (x^m)^n = x^(mn) | (2^3)^2 = 2^(3*2) = 2^6 |\)

\(| (xy)^n = x^n * y^n | (3*4)^2 = 3^2 * 4^2 |\)

\(| (x/y)^n = x^n / y^n | (4/2)^3 = 4^3 / 2^3 |\)

\(| x^(m/n) = n-th root of x^m | 2^(6/3) = cube root of 2^6 |\)

We can use these rules to simplify expressions with exponents or to perform calculations with them.

Therefore, by exponentiation answer will be given.

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The complete question is;

List all the rules of exponentiation.

Answer:

$112

Step-by-step explanation:

So first figure out how much he makes an hour

8*4 is 32.

32*3 1/2 is $112

The amount that Chris will make will then be $112.

The first thing to do is to divide 3 1/2 by 1/4. This will be:

= 3 1/2 / 1/4

= 7/2 × 4/1

= 14

Now we'll then multiply 14 by $8. This will be:

= $8 × 14

= $112

The amount made will be $112.

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To find the probability that more than 20% of the students in the sample would respond that they spend more than 4 hours per night on homework, we can use the binomial distribution formula.

Let's denote the probability of a student spending more than 4 hours per night on homework as p. In this case, p = 0.15, as given in the problem. The sample size is n = 120. The probability of more than 20% of the students responding that they spend more than 4 hours per night on homework can be calculated as the sum of probabilities for all values greater than 20%. Mathematically, this can be expressed as: P(X > 0.20n) = P(X > 0.20 * 120) = P(X > 24)

To calculate this probability, we can use the binomial distribution formula: P(X > 24) = 1 - P(X ≤ 24) = 1 - ∑(k=0 to 24) C(120, k) * p^k * (1-p)^(120-k) Evaluating this expression, we find that the closest value to the probability that more than 20% of the students in the sample would respond that they spend more than 4 hours per night on homework is 0.0809.

Therefore, the answer is 0.0809.

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Answer:

The answer is D y=2/5x + 2

Step-by-step explanation:

I find the the slope first by using the slope formula y2 - y1/x2 - x1

Then, I use the slope-intercept formula to find the y-intercept

4 = 2/5(5) + b

4 = 10/5 + b

4 = 2 + b

4 - 2 = 2 - 2 + b

2 = b

So u get:

y=2/5x + 2

Answer:

33.7°

Step-by-step explanation:

the direction angle is calculated as

tanΘ = \(\frac{y}{x}\) ( Θ is the direction angle ) , then

tanΘ = \(\frac{-4}{-6}\) = \(\frac{2}{3}\)

Θ = \(tan^{-1}\) ( \(\frac{2}{3}\) ) ≈ 33.7° ( to the nearest tenth )