I need help asap!!!

Answer:

A,D,F

Step-by-step explanation:

if he drives 90 in 2 hours then in one hour its 45. 45 times 2 is 90. 45 times 3 is 135. 45 times 4 is 180. 45 times 5 is 225. 45 times 6 is 270. 45 times 7 is 315. and 45 times 8 is 360.

Answer:

I think it's 6 or 0.6

Answer:

137

Step-by-step explanation:

I hope this helps

The general solution of the given differential equation is the sum of the complementary solution and the particular solution:

y(t) = y_c(t) + y_p(t)

y(t) = c1 × e⁻ᵗ × cos(2t) + c2 × e⁻ᵗ × sin(2t) + (²/₂₁) × sin(2t) + (⁴/₂₁) × cos(2t)

where c1 and c2 are arbitrary constants.

To find the general solution of the given differential equation, follow these steps:

Step 1: Find the complementary solution:

Consider the homogeneous equation:

y'' + 2y' + 5y = 0

The characteristic equation corresponding to this homogeneous equation is:

r² + 2r + 5 = 0

Solving this quadratic equation, find two complex conjugate roots:

r = -1 + 2i and -1 - 2i

Therefore, the complementary solution is:

y_c(t) = c1 × e⁻ᵗ × cos(2t) + c2 × e⁻ᵗ × sin(2t)

where c1 and c2 are arbitrary constants.

Step 2: Find a particular solution:

We are looking for a particular solution of the form:

y_p(t) = A × sin(2t) + B × cos(2t)

Differentiating y_p(t):

y'_p(t) = 2A × cos(2t) - 2B × sin(2t)

y''_p(t) = -4A × sin(2t) - 4B × cos(2t)

Substituting these derivatives into the differential equation:

(-4A × sin(2t) - 4B × cos(2t)) + 2(2A × cos(2t) - 2B × sin(2t)) + 5(A × sin(2t) + B × cos(2t)) = 2 × sin(2t)

Simplifying the equation:

(-4A + 4B + 5A) × sin(2t) + (-4B - 4A + 5B) × cos(2t) = 2 × sin(2t)

To satisfy this equation, we equate the coefficients of sin(2t) and cos(2t) separately:

-4A + 4B + 5A = 2 (coefficient of sin(2t))

-4B - 4A + 5B = 0 (coefficient of cos(2t))

Solving these simultaneous equations, we find:

A = ²/₂₁

B = ₄/₂₁

Therefore, the particular solution is:

y_p(t) = (²/₂₁) × sin(2t) + (⁴/₂₁) × cos(2t)

Step 3: General solution:

The general solution of the given differential equation is the sum of the complementary solution and the particular solution:

y(t) = y_c(t) + y_p(t)

y(t) = c1 × e⁻ᵗ × cos(2t) + c2 × e⁻ᵗ × sin(2t) + (²/₂₁) × sin(2t) + (⁴/₂₁) × cos(2t)

where c1 and c2 are arbitrary constants.

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Answer:

12

Step-by-step explanation:

\(\dfrac{x}{4} + 17 = 20\\\dfrac{x}{4} = 20 - 17\\\dfrac{x}{4} = 3\\x = 4 \cdot \;3 \\\\x = 12\)

Answer:

x = 12

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ (x/4) + 17 = 20

Then the value of x will be,

→ (x/4) + 17 = 20

→ x/4 = 20 - 17

→ x/4 = 3

→ x = 3 × 4

→ [ x = 12 ]

Hence, the value of x is 12.

The IRA (individual retirement account) of a 22-year-old college student, who deposits $55 into the account each month, will have a total balance at retirement. To calculate this, we need to consider the time period, the monthly deposit, and the annual percentage rate (APR).

The student plans on retiring at age 65, which means the IRA will have 65 - 22 = 43 years to grow. Since the student deposits $55 each month, we can calculate the total number of deposits over the 43-year period: 43 years * 12 months/year = 516 deposits.

To calculate the total balance at retirement, we need to consider the growth of the account due to the APR. The annual growth rate is 6%, which can be expressed as 0.06 in decimal form. To calculate the monthly growth rate, we divide the annual growth rate by 12: 0.06/12 = 0.005.

Using the formula for the future value of an ordinary annuity, we can calculate the total balance at retirement:
FV = PMT * [(1 + r)^n - 1] / r

Where:
FV = future value (total balance at retirement)
PMT = monthly deposit ($55)
r = monthly interest rate (0.005)
n = number of deposits (516)

Plugging in these values into the formula:
FV = 55 * [(1 + 0.005)^516 - 1] / 0.005

Calculating this equation, the IRA will contain $287,740.73 at retirement.

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Answer:

It really depends if there is more work with this, but of it is just p to the power of two. it would be p².

Answer:

its increasing by 12

Step-by-step explanation:

Just count upward

Approximately 52.39% of the population values are between 142 and 150.

Given that the population is assumed to be bell-shaped and we have the population standard deviation (σx = 4), we can calculate the z-scores for the lower and upper limits.

The z-score is calculated as follows:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the lower limit:

z_lower = (142 - 146) / 4 = -1

For the upper limit:

z_upper = (150 - 146) / 4 = 1

Next, we need to find the corresponding area under the standard normal curve between these z-scores. This can be done using a standard normal distribution table or a calculator with the cumulative distribution function (CDF) function.

Using a calculator, we can find the percentage as follows:

P(142 ≤ x ≤ 150) = P(z_lower ≤ z ≤ z_upper) ≈ CDF(z_upper) - CDF(z_lower)

Calculating this on a standard normal distribution table or using a calculator, we find:

P(142 ≤ x ≤ 150) ≈ 0.6826 - 0.1587 ≈ 0.5239

Therefore, approximately 52.39% of the population values are between 142 and 150.

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The following TI-84 Plus display presents some population parameters.

1-Var-Stats

x=146

Σx=2680

Σx2=359,620

Sx=3.92662001

σx=4

↓n=20

Assume the population is bell-shaped. Approximately what percentage of the population values are between 142 and 150?

Answer:

(2,5)

Step-by-step explanation:

1 to the right is +1

3 up is +3

1+1=2

2+3=5

(2,5)

Answer:

7 in

Step-by-step explanation:

Answer:

a = 7 in

Step-by-step explanation:

\(Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7\)

Answer: $17.60

Step-by-step explanation:

48.00-12.80=35.2.

35.2/2

17.60

Then divide by 2 to get the maximum you could spend on each.

The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

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Round this number to the nearest thousand, giving the final answer of 839,000.

Population is the number of people living in a given area at a particular time. It can refer to a geographic region, such as a city, state, country, or the world. It is usually measured as the total number of people within a certain area and can be determined through a variety of methods, such as the census or survey. Population growth and decline are important indicators of a country's economic and social development, as well as its demographics.

a. y = 696,000 * 1.04^t

b. The population after 20 years will be approximately 839,000. This can be calculated by plugging in t = 20 into the exponential function: y = 696,000 * 1.04^20 = 838,903.8. Round this number to the nearest thousand, giving the final answer of 839,000.

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Answer:

placing the needle of the compass on one end of the line segment.

Copying a line segment and bisecting a line segment can be done by using a compass when we don't know the lenght of the line segment.

A line segment is basically a line which has two definite endpoints denoted by dots at the end.

Similerly a ray has one initial point and the other end of the ray can extend to any value and is denoted by an arrow.

Bisecting in geomerty means dividing lines angles into exactly half of their value.

Coming to the question when we do have the lenght data of a line segment we can simply copy that line segment using a compass. take a compass and put one point of it into one end of the given line segment and the other point of the compass should preciously put into the other p[art of the compass now don't change the opening of the compass and place the neddle of the compass somewhere and mark the point of the other point of the compass then to finish it up just connect those two end points preciously with a scale and a pencil.

Bisecting a line when we do not have the the data of the lenght of the line put the neddle point of the compass on the end point of the line open the compass to about more that half the lenght of the compass ad draw an arc next step is put the neddle of the compass onto the other side of the line and open the compass to a bit more than the half of the lenght of the line and draw an arc. You will see that those two arc will intersect each other one on top of the line and one on the bottom. Join those two intersects preciously with a scale and a pencil and we will have our line bisector.

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To find the expression representing the number of minutes she played today, we can use the information given in the problem:

Yesterday, Sarah played basketball for m minutes. Today, she played for 10 minutes less than three times the number of minutes she played yesterday. So, we can write this as:

Today's minutes = 3 × Yesterday's minutes - 10

Now, we can plug in the value of m (the number of minutes she played yesterday) into the expression:

Today's minutes = 3m - 10

Comparing this expression to the options given, we can see that the correct answer is D. 3(m - 10).

To provide a step-by-step explanation:
1. Determine yesterday's minutes: m
2. Multiply yesterday's minutes by 3: 3m
3. Subtract 10 from the result: 3m - 10
4. Identify the matching expression among the choices: 3(m - 10)

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Answer:

y-4=3(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

The statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, - 4) and (3, -2). Everything above the line is shaded.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have two inequality:

2x – 3y <12

y < –3

If we draw these two inequalities on the graph, we will see:

On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.

Thus, the statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

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The optimal order quantity is 1256 units and the minimum total cost is S3150.04. The soft goods department of a large department store sells 175 units per month of a certain large bath towel. The unit cost of a towel to the store is S2.50 and the cost of placing an order is S375.

In this problem, the order quantity (Q) will be calculated using the economic order quantity (EOQ) formula as follows:

EOQ = √[(2DS)/H] Where: D = Annual Demand, S = Cost of placing an order, H = Carrying cost per unit per year, Carrying cost per unit per year can be computed using the following formula: H = iC

Where: i = Annual carrying charge rate, C = Unit cost of a towel to the store

Hence, H = 0.12 x S2.50H

= S0.30D is already given as 175 units per month, so the annual demand (D) will be:

D = 175 x 12D

= 2100 units per year

Substitute all values into the EOQ formula:

EOQ = √[(2 x 2100 x 375)/0.30]EOQ

= √[1,575,000]EOQ

= 1255.13 units

Rounding up, the optimal order quantity is 1256 units.

The minimum total cost will be calculated using the following formula:

TC = DH + (Q/2)S + (D/Q) x HC  

Where: TC = Total cost H = Carrying cost per unit per year, S = Cost of placing an order, Q = Order quantity, D = Annual demand.

HC = Holding cost per unit per year

TC = (2100 x S2.50 x 0.3) + (1256/2 x S2.50) + (2100/1256 x 0.12 x S2.50)TC

= S 1575 + S1570 + S5.04TC

= S3150.04

Therefore, the optimal order quantity is 1256 units and the minimum total cost is S3150.04.

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Answer:

yes

Step-by-step explanation:

try using a vertical line, if you move the vertical line across the graph and the line touches the graph only at one point, than it means it is a function

Answer:

This graph represents a function

Step-by-step explanation:

By its definition, a function is a relation or a correlation between two sets (groups) of values where every input corresponds to only one output. What this means is that every input in a function can only have one output. This characteristic results in a unique property in the graph of a function, that is, the verticle line test.  The verticle line test states that when one draws a line through the graph of a function, the line can only intersect the graph in exactly one place in the function. If the line intersects the graph in more than one place, then the graph does not represent a function. In the given situation, any verticle line drawn on the graph only intersects the graph in one place, thus the graph represents a function.

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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Suppose that the given parallelogram is as follows:

Since opposite angles of a parallelogram are congruent, ∠CDA or ∠D must be congruent to ∠ABC or ∠B. This means that the measure of the angles must be equal.

Therefore, the measure of ∠CDA must also be 64°.

Answer:

y = 3x

Step-by-step explanation:

Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.

Slope-intercept eq:

y = mx + b

You fill in slope where the m is. And you fill in the y-intercept for the b.

In your problem they gave you two points. You can calculate slope with two points. Subtract the y's, 3-0, put that on top of a fraction. And subtract x's, 1-0, put that on the bottom of the fraction. The slope, m, is 3/1, which is 3.

slope:

m = 3-0 / 1-0 = 3/1 =3

The y-intercept is actually given in your problem. The y-intercept is the point where the line crosses the y-axis. The y-intercept is the point where the x is 0. They gave you the point (0,0) that is the y-intercept. So b = 0.

Fill the m and b in with the given numbers!

y = 3x + 0 Simplify.

y = 3x

Answer:Decreasing the distance between the objects

Step-by-step explanation:

Answer:

does this help

Step-by-step explanation:

What is the maximum angle of a pendulum?

Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.

Answer

Price of the 6 pounds of Trail Mix = 18 dollars

Explanation

Let the amount of raisins in 6 pounds of Trail Mix be x pounds.

And the amount of almonds in 6 pounds of Trail Mix be y pounds.

We know that the sum of x and y has to give 6 pounds.

x + y = 6

But we know that there are 2 more pounds of Raisins than Almonds in the 6 pounds of Trail Mix

x = y + 2

x + y = 6

y + y + 2 = 6

2y + 2 = 6

2y = 6 - 2

2y = 4

Divide both sides by 2

(2y/2) = (4/2)

y = 2

x = y + 2 = 2 + 2 = 4

So, we know that there are 4 pounds of Raisin and 2 pounds of Almonds in the 6 pounds of Trail Mix.

1 pound of Raisins = 2 dollars

4 pounds of Raisin = 4(2) = 8 dollars

1 pound of Almonds = 5 dollars

2 pounds of Almonds = 2(5) = 10 dollars

Price of 6 pounds of Trail Mix

= (Price of 4 pounds of Raisins) + (2 pounds of Almonds)

= 8 + 10

= 18 dollars

Hope this Helps!!!

The best way to solve this problem is to imagine the situation as follows: Suppose that each position (first, second and third) is a numbered box. (first is box number one, and so on).

Now, imagine that each student is a ball that is numbered from 1 up to 11.

The situation translates to calculate in how many different ways we can put a ball in each box, without putting 2 balls in each box. We have the following

To solve this, we will use the multiplication principle. This principle relays on multiplying the number of possibilites for each box. Consider the case in which we will fill the box number 1. We can choose any of the numbers, so we have 11 posibilites. Now, suppose that we chose one number for box 1, and now we want to fill box 2. Then, we will have 10 possibilites only, since we already picked one. In the same manner, to fill the third box we have 9 possibilities. So the total number of possibilites is the product of this three numbers. That is