On a print-out of these slope fields, sketch for each three solution curves to the differential equations that generated them. Then complete the following statements: For the slope field in figure 1. a solution passing through the point (0.-1) has slope. For the slope field in figure 1. a solution passing through the point (-2.2) has slope. For the slope field in figure 2. a solution passing through the point (1.-3) has slope For the slope field in figure 2. a solution passing through the point (0.4) has a slope.

Answer:

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7

just seven my dude or dudett

Answer:|w| = –2

Step-by-step explanation:

2.03 Quiz: Foundations Wrap-Up - Solving Inequalities

Answer:

Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.

Step-by-step explanation:

Answer:

She has 27 quarters

Step-by-step explanation:

Let:

x = Number of nickels

y = Number of quarters

US$0.05 = 5 cents = monetary value of a nickel

US$0.25 = 25 cents = monetary value of a quarter

                      x + y = 68

                     x = 68 - y  ---- --------  (equation i)

                0.05x + 0.25y = 8.80----- (equation ii)

These two are linear simultaneous equations, which can be solved either by substitution, elimination or graphical method.

Substitution method:

Substitute (equation i) into (equation ii) to solve for y:

0.05(68 - y) + 0.25y = 8.80

Expand the brackets by applying the Distributive Law and then bring all the like terms together. y needs to be isolated and made the subject of the equation:

= 3.4 - 0.05y + 0.25y = 8.80

= 0.25y - 0.05y = 8.80 - 3.40

= 0.20y = 5.40

= y = \(\frac{5.40}{0.20}\)

∴ y = number of quarters = 27

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

21/5*2000=  21*400= 8,400 pounds

Answer:

\(\displaystyle 8400\:lbs.\)

Explanation:

On United States Imperial [Customary] System, there is one ton in two thousand pounds. So, because we are going from a bigger unit of measurement to a smaller unit of measurement, we multiply the quantity of tons by two thousand:

\(\displaystyle \boxed{8400} = 2000[4\frac{1}{5}]\)

I am joyous to assist you at any time.

Answer:

there are eight lateral faces in prism

There are three lateral faces for a triangular prism.

An edge is a line segment formed by the intersection of two adjacent faces. A vertex is the point of intersection of three edges.

Therefore, the approximation of the length of the graph of f on the interval [1, 7] using a left Riemann sum with 3 subintervals is 2√5 + 2√2 + 2, which corresponds to option (E).

To approximate the length of the graph of f on the interval [1, 7] using a left Riemann sum with 3 subintervals of equal length, we can use the formula:

Length ≈ ∑[i=1 to 3] √[1 + (f'(xi))^2] * Δx,

where Δx is the length of each subinterval and xi is a sample point within each subinterval.

Given that the subintervals have equal length, we can calculate Δx as (7 - 1) / 3 = 2.

The corresponding values for f'(xi) are 2, 1, and 0 for the first, second, and third subintervals, respectively.

Substituting these values into the formula, we get:

Length ≈ √[1 + (2)^2] * 2 + √[1 + (1)^2] * 2 + √[1 + (0)^2] * 2

= √5 * 2 + √2 * 2 + 2

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The volume of the building in the shape of a square pyramid is 252720 m³

In terms of geometry, a square pyramid is a pyramid with a square base and four lateral faces. A pyramid is a type of polyhedron with three or more triangle faces that meet above its base (the apex).

The building is in the shape of a square pyramid.

The base of the building is 54 meters long.

The height of the building is 260 meters.

The volume of the right square pyramid is given as:

V = ( 1/3)a²h

Where a is the base and h is the height.

Now we have,

a = 54 meters and h = 260 meters

Then the volume of the building is:

V = ( 1/3)a²h

V = ( 1/3 ) × ( 54 )² × 260

V = ( 1/3 ) × 54 × 54 × 260

V = 758160/3

V = 252720 m³

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Since 1/4 is greater than 1/6 we can infer that Tiffany painted more of the room's wall.

Since most walls are square or rectangular, their surface area may be calculated by multiplying the width and height values, then taking out any spaces for doors or windows. However, unusual architecture and design might lead to the combination of the rectangle with triangular, round, or trapezoidal shapes. Using the fundamental formulas for estimating the area of two-dimensional forms is the key to accurately determining the surface area of a wall.

We must determine the precise dimensions of the parts Tiffany and Roberto painted in order to compare the quantity of each.

Assume for the moment that the wall is one unit in size. Tiffany then painted 1/4.

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The graph that best represents the number of paperback and hardcover books Emily can buy within her budget is a scatter plot with the points (0,4), (2,3), (4,2), (6,1), and (8,0) connected by a line.

To determine which graph best represents the number of paperback and hardcover books Emily can buy within her budget, we need to consider the cost of each type of book and her spending limit. Since Emily wants to spend no more than $45, we can create an equation to represent her budget:
4.5p + 10h ≤ 45
Where p is the number of paperback books and h is the number of hardcover books she can buy.
To graph this equation, we can first solve for h:
10h ≤ 45 - 4.5p
h ≤ 4.5 - 0.45p
This shows that the maximum number of hardcover books Emily can buy depends on the number of paperback books she purchases.
Next, we can create a table to show the different combinations of paperback and hardcover books that fit within her budget:
| # of Paperbacks | # of Hardcovers | Total Cost |
|----------------|----------------|------------|
| 0              | 4              | $40        |
| 2              | 3              | $40.50     |
| 4              | 2              | $41        |
| 6              | 1              | $41.50     |
| 8              | 0              | $42        |

From this table, we can see that Emily can buy a maximum of 8 paperback books or 4 hardcover books within her budget. To graph this information, we can create a scatter plot with the number of paperback books on the x-axis and the number of hardcover books on the y-axis. We can then plot the points (0,4), (2,3), (4,2), (6,1), and (8,0) and connect them with a line to show the maximum number of books Emily can buy within her budget. Therefore, the graph that best represents the number of paperback and hardcover books Emily can buy within her budget is a scatter plot with the points (0,4), (2,3), (4,2), (6,1), and (8,0) connected by a line.

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The number of at-the-door tickets that must be sold to reach the goal is 100.

The system of linear equations that can be used to determine the required values are:

10p + 15d = $3500 equation 1

p + d = 300 equation 2

Where:

To determine the value of d, take the following steps:

Multiply equation 2 by 10

10p + 10d = 3000 equation 3

Subtract equation 3 from equation 1

5d = 500

Divide both sides of the equation by 5

d = 500 / 5

d = 100

An alternate way to solve this question is to use the provided graph. Trace the point where the two curves meet to the y-axis. When traced the the y-axis the value gotten is 100.

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Answer:

Least 6.7x10-3     0.67    6.7%  6/9 Greatest

Step-by-step explanation:

Answer:

\(j - 58\)

That is the meaning of the algebraic expression

The set of parametric equations for the line is:

x = -13 - t

y = 1 - √(3)t

z = 3 + 2t

To find the set of parametric equations for the line tangent to the space curve r(t) = (-2 sin t, 2 cos t, 4 sin t) at the point P(-13, 1, 3), we need to find the derivative of r(t) and evaluate it at t = t₀, where t₀ is the value of t that corresponds to the point P.

The derivative of r(t) is:

r'(t) = (-2 cos t, -2 sin t, 4 cos t)

To find t₀, we need to solve the equation r(t₀) = P:

(-2 sin t₀, 2 cos t₀, 4 sin t₀) = (-13, 1, 3)

From the second component, we can see that cos t₀ = 1/2, which means t₀ = π/3 or t₀ = -π/3.

Substituting t₀ = π/3 into r'(t), we get:

r'(π/3) = (-2 cos(π/3), -2 sin(π/3), 4 cos(π/3)) = (-1, -sqrt(3), 2)

So the line tangent to the space curve at P has direction vector (-1, -√(3), 2), which means the set of parametric equations for the line is:

x = -13 - t

y = 1 - √(3)t

z = 3 + 2t

where t is a parameter that varies along the line.

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Answer:

-x - 2

Step-by-step explanation:

Step 1: Define

x - 2 - 2x

Step 2: Combine like terms (x)

-x - 2

Answer:

-3

Step-by-step explanation:

Hello!

\(\large\boxed{z = -3}\)

1/2z + 6 = 3/2(z + 6)

Distribute the coefficient outside of the parenthesis:

1/2z + 6 = 3/2(z) + 3/2(6)

1/2z + 6 = 3/2z + 9

Subtract 1/2z from both sides:

6 = 2/2z + 9

Subtract 9 from both sides. Simplify 2/2z into z:

6 - 9 = z + 9 - 9

-3 = z

Answer:

a

Step-by-step explanation:

True. Statistical inference is a branch of statistics that involves using a sample of data to make inferences about a larger population.

It involves drawing conclusions about population parameters (such as mean, variance, proportion, etc.) based on sample statistics (such as sample mean, sample variance, sample proportion, etc.). In statistical inference, we use probability theory and statistical models to quantify the uncertainty associated with our estimates and to make decisions based on the available data. The ultimate goal of statistical inference is to make generalizations about the population based on the sample data with a certain level of confidence or accuracy.

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the actuarial expression for the account balance after the final deposit is made as:\(FV = $5000 \times [(1.03^{(n-10)}+1)(1.02)^{(204)}-1]/(0.02) + $5000 \times [(1.03^{10}+1)(1.02)^{(104)}-1]/(0.02)\)The account balance after the final deposit is made is \($62,297.36.\)

The account balance after the final deposit is made, the formula for the future value of an annuity due with a growth rate.

Actuarial expression for the account balance after the final deposit is made:

A be the annual deposit amount, n be the number of deposits, i be the nominal annual interest rate, m be the number of compounding periods per year, and g be the annual growth rate of the deposits.

The formula for the future value of an annuity due with a growth rate is:

\(FV = A \times [(1+g)\times (1+i/m)^{((n-1) \times m)+1}] / (i/m)\)

Louis' situation, we have:

\(A = $5000\) for the first 10 years, and then \(A = $5000 \times 1.03^{(n-10)}\) for the remaining 20 years.

n = 30 years

i = 8% nominal annual interest rate, compounded quarterly, so i = 2% per quarter

m = 4 quarters per year

g = 3% annual growth rate for each deposit after the 10th year

The account balance after the final deposit is made:

The above actuarial expression and substituting n=30, we get:

\(FV = $5000 \times [(1.03^{20}+1)(1.02)^{80}-1]/(0.02) + $5000 \times [(1.03^{10}+1)(1.02)^{40}-1]/(0.02)\)

Simplifying this expression gives:

\(FV = $5000 \times (1.03^{20} \times 1.02^{80} + 1.03^{10} \times 1.02^{40})\)

Using a calculator, we get:

\(FV = $5000 \times (10.4619 + 1.7958)\)

\(FV = $62,297.36\)

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Answer:

 \(l=238\ yards\)

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

 \(l=9w-14\)

Where

\(w=width\ of\ triangle\)

Generally the equation for Area of Rectangle is mathematically given by

 \(A=(9w-14)w\)

 \(A=9w^2-14w\)

 \(6183=9w^2-14w\)

 \(9w^2-14w-6183=0\)

 \(w=28\)

Therefore

 \(l=9(28)-14\)

 \(l=238\ yards\)

Answer:

The answer is 24. Yes we do.

The expression √180 * 2√30 is equivalent to the expression 60√6

An equation is an expression that shows the relationship between two numbers and variables.

The square root is a factor of a number that, when multiplied by itself, gives the original number.

Given the expression √180 * 2√30

Collecting like terms give:

= 2√(180 * 30)

Simplifying:

= 60√6

The expression √180 * 2√30 is equivalent to the expression 60√6

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Answer:

B. 5 is the input

Step-by-step explanation:

f(x) = 4x + 3        f(5) = 23             Plug in 5 for x.

f(x) = 4(5) + 3

f(x) = 20 + 3

f(x) = 23

B. 5 is the input

Answer:

47°

Step-by-step explanation:

if it is the same, then the angles are the same

180 - 85 - 48 = 47

The greater ratio of boys to students in the class of Mrs. Henderson's class is, 0.67

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Mrs. Henderson has 16 boys in her class of 24 students

Mr. Gregory has 18 boys in his class of 30

Greater ratio = ?

Ratio in Mrs. Henderson =  number of boys/total students

                                         =   16/24

                                         =   2/3

                                         =    0.67

Ratio in Mrs. Gregory =  number of boys/total students

                                    =  18/30

                                    =   3/5

                                    =    0.6

Hence, the ratio is greater in Mrs. Henderson's class  0.67

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Answer:

actually which one of thise is th qus in this????

Step-by-step explanation:

please tell