Does anyone have answers 3 and 4 for 4. 4. 3 Practice: Modeling: Solids?


Extremely lost and help with be appreciated :)

Answer:        

Correct Answer D.

a × c = 11, b = 10

10 × 1 = 10

10 + 1 = 11

Divide the ten and 1 by 2

(x = 2) (2x+1)

Step-by-step explanation:

There are 7200 ways for the senate committee to sit around a circular table.

To solve this problem, we can use the formula for circular permutations: (n-1)!/d, where n is the total number of people and d is the number of ways in which they can be distinguished. In this case, n is 11 (5 democrats + 5 republicans + 1 independent) and d is 1 (since all the members of each party sit together, they are not distinguishable from one another). Plugging these values into the formula, we get

This means that there are 7200 ways for the senate committee to sit around a circular table.

Learn more about circular permutations here:

https://brainly.com/question/2279298

#SPJ4

The polar curve r = 4 - 4sinθ, 0 ≤ θ < 2π has vertical tangent lines at θ = π/6 and θ = 7π/6.

To find the points where the polar curve has a vertical tangent line, we need to determine the values of θ for which the derivative of r with respect to θ, dr/dθ, is equal to infinity.

The derivative of r with respect to θ can be found using the chain rule of calculus. We have:

dr/dθ = d(4 - 4sinθ)/dθ

Differentiating the expression, we get:

dr/dθ = -4cosθ

For a vertical tangent line, the slope of the tangent line should be infinite, which means the derivative dr/dθ should be equal to infinity. Therefore, we set -4cosθ equal to infinity and solve for θ:

-4cosθ = ∞

Since the cosine function oscillates between -1 and 1, it never attains the value of infinity. However, there are two specific values of θ for which the cosine is equal to zero, resulting in the derivative being undefined (i.e., vertical tangent lines). These values are:

θ = π/2 + 2πk, where k is an integer

Converting these values to the range 0 ≤ θ < 2π, we have:

θ = π/2 and θ = 3π/2

Substituting these values back into the polar equation, we find the corresponding points on the curve:

For θ = π/2:

r = 4 - 4sin(π/2) = 4 - 4(1) = 0

For θ = 3π/2:

r = 4 - 4sin(3π/2) = 4 - 4(-1) = 8

Therefore, the polar curve r = 4 - 4sinθ has vertical tangent lines at the points (0, π/2) and (8, 3π/2).

Learn more about polar curves

brainly.com/question/28976035

#SPJ11

I think D at (2,1) will do

hope it helps...!!!

Answer:

(-1 , -1)

Step-by-step explanation:

let D be the missing point

D lie on the line that passes through the point A and parallel to the line BC

D lie on the line that passes through the point C and parallel to the line AB

Then D is the intersection of those two lines

Then D is the point of coordinates (-1 , -1)

Answer:

The change represents decay.The percentage decrease is 97%

Step-by-step explanation:

The change represents decay because the exponential base is less than 1. In this problem, the base is 0.3, which is smaller than 1. To find the percentage decrease, you must subtract 100% from 3%. This gives us a decrease of 97%.

Answer:

24

Step-by-step explanation:

Answer:

The function x + 88 = y represents a linear equation in which the value of y is determined by adding 88 to the value of x. In this equation, x is the independent variable, and y is the dependent variable. The equation can be interpreted as a mapping between x and y, where for every value of x, there is a corresponding value of y that is 88 units greater.

This equation can also be represented graphically as a straight line with a slope of 1 and a y-intercept of 88. This means that as x increases by 1 unit, y will also increase by 1 unit. The y-intercept represents the value of y when x is 0, which in this case is 88.

Overall, the function x + 88 = y can be used to determine the value of y for any given value of x, and can also be used to graph the relationship between x and y.

Answer: f(x) = x  + 88

Step-by-step explanation:

Answer:

The correct option is;

B. GT PT ET GV PV EV

Step-by-step explanation:

The given information we have;

The number mathematics topics Travis has to chose from tonight = 3 topics

The number of ways he can chose to study each topic = 2 ways

Therefore the number of different combo Travis can chose from is given as follows;

The number of combos = The number of topics × The number of ways

∴ The number of combos = 3 × 2 = 6 combos

Therefore, the possible combos are;

B. GT PT ET GV PV and EV which is the same as GT, GV, PT, PV, ET, and EV.

Given:

Val is going to plant y vegetable seeds in one garden and 4y +9 vegetable seeds in another.

So, the total seeds =

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

to know more about congruences click here:

https://brainly.com/question/30818154

#SPJ4

Answer:

Total cost of polishing the floor is Rs/500.

Step-by-step explanation:

The floor consists of 2000 tiles which have the shape of a rhombus.

Area of rhombus = \(\frac{d_{1} *d_{2} }{2}\)

Where: \(d_{1}\) and \(d_{2}\) are the diagonals.

Given that:

\(d_{1}\) = 40 cm = 0.4 m

\(d_{2}\) = 25 cm = 0.25 m

Then,

Area of each tile = \(\frac{0.4*0.25}{2}\)

                     = \(\frac{0.1}{2}\)

                     = 0.05 \(m^{2}\)

Area of each tile is 0.05 \(m^{2}\).

Since there are 2000 tiles on the floor of the building, then;

Total area covered by the tiles = 0.05 x 2000

                              = 100 \(m^{2}\)

The total cost of polishing the floor = 100 x Rs/5

                                = Rs/500

d) 5x ≥ 15

Let's solve your inequality step-by-step.

5x≥15

Step 1: Divide both sides by 5.

\(\frac{5x}{5} \geq \frac{15}{5}\)

\(x\geq 3\)

(Attachment #1)

e) 3(2x + 1) ≤ 15

Let's solve your inequality step-by-step.

3(2x+1)≤15

Step 1: Simplify both sides of the inequality.

6x+3≤15

Step 2: Subtract 3 from both sides.

6x+3−3≤15−3

6x≤12

Step 3: Divide both sides by 6.

\(\frac{6x}{6} \leq \frac{12}{6}\)

\(x\leq 2\)

(Attachment #2)

Answer:

22320

Step-by-step explanation:

simple interest= p (deposit) × r (rate) × t (time)

=1550×7.2×2

=22320

Answer:

m=-3/5

Step-by-step explanation:

Answer:

6400m^2

Step-by-step explanation:

6400 meters squared.

Earning per hour E(h) = 40h

h = number of hours

Therefore, for 2 hours

Earning E(h) = 40h

= 40 x 2

= 80 dollars

The appropriate reasons for each. are:

1. Rational/The sum of two rational is always rational

2. Irrational/ the sum of a rational and an irrational is always irrational

3. Irrational/The product of a nonzero rational and an irrational is always irrational

4. Rational/The product of two rational is always rational

A rational number is simply a number that can be written as a fraction of two integers, as long as the denominator is not equal to zero. There are numerous rational numbers, like 1/2, -3/4, and 5, for instance.

Rational numbers comprise of both whole numbers and fractions while the irrational numbers, on the other hand, are those that bear radical signs above them. Once you have known if the two numbers are rational or irrational, the solution can be found among the other area of the solutions.

Learn more about   Rational sum from

https://brainly.com/question/12088221

#SPJ1

Answer:

−28hw+9w+3

Step-by-step explanation:

5w(1-8h) = 5w-40wh

+12wh = -28hw

-28hw+5w+5w = -28hw+10w

-w = -28hw+9w

+3 = -28hw+9w+3

Answer:

7

Step-by-step explanation:

|-2| = 2

(the absolute value of -2 is 2)

|5| = 5

(the absolute value of 5 is 5)

=> |-2| + |5| =

=> 2 + 5 = 7

Answer:

7

Step-by-step explanation:

P is the midpoint of NO and equidistant from MN and MO. If MN=8i + 3j and MO= 4i - 5j.Thus, the value of MP is √850.

Given that P is the midpoint of NO and equidistant from MN and MO.

Also, MN=8i + 3j and MO= 4i - 5j. We need to find the value of MP.

There are two methods to solve the given question:Method 1:Using the midpoint formula - Let (x, y) be the coordinates of point P.

Then, the coordinates of N and O are (2x - 4i - 6j) and (2x + 4i - 2j), respectively. Now, since P is equidistant from MN and MO, we have:MP² = MN² -----(1)And, MP² = MO² -----(2)

Substituting the given values in (1) and (2), we get:(

x - 4)² + (y + 3)² = (x + 4)² + (y + 5)²

Solving the above equation, we get:x = -1/2, y = -1/2

Therefore, the coordinates of point P are (-1/2, -1/2).

Hence, MP = √[(4 - (-1/2))² + (5 - (-1/2))²] = √(17² + 21²) = √850

Method 2:Using the distance formula - Since P is equidistant from MN and MO, we have:

MP² = MN² -----(1)And, MP² = MO² -----(2)

Substituting the given values in (1) and (2), we get:

(x - 4)² + (y + 3)² = (4x - 8)² + (4x + 8)²

Solving the above equation, we get:x = -1/2, y = -1/2

Therefore, the coordinates of point P are (-1/2, -1/2).

Hence, MP = √[(4 - (-1/2))² + (5 - (-1/2))²] = √(17² + 21²) = √850.

Thus, the value of MP is √850.

Know more about   midpoint   here:

https://brainly.com/question/30677179

#SPJ8

Answer:

y = -1/4

Step-by-step explanation:

If the slope is o, that means that it is a horizontal line.  The line passes though the point (4, -1/4)  The horizontal line will have y as -1/4, no matter what x is.

Answer:

\(\sf y =\dfrac{-1}{4}\)

Step-by-step explanation:

Equation of the line with slope 0 is y = c.

where c is the y-co-ordinate.

 The line with slope 0 is a horizontal line that is parallel to x-axis.

          \(\sf y =\dfrac{-1}{4}\)

Answer:

C

Step-by-step explanation:

C goes past -1 and almost reaches -2 so you know it will include some sort of fraction.

If you count the tick marks, C is on the 7th tick mark which is the one before -2. This represents 7/8 because 8/8 would be right on -2.

So, C shows -1 and 7/8

Answer:

this is hard is this algabra

The length of the hypotenuse of the right triangle is given as follows:

\(h = 3\sqrt{2}\)

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

The side lengths for this problem are given as follows:

Hence the hypotenuse length is obtained as follows:

\(h^2 = (\sqrt{8} + 1)^2 + (\sqrt{8} - 1)^2\)

\(h^2 = 8 + 2\sqrt{8} + 1 + 8 - 2\sqrt{8} + 1\)

\(h^2 = 18\)

\(h = \sqrt{2 \times 9}\)

\(h = 3\sqrt{2}\)

As the hypotenuse contains a term with a square root, it is in surd form.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

Answer:

(6,8)

I know because I did it coool

Answer:

A : B = 2 : 3 B : C = 4 : 5. Now, to find A : B : C, we need to make the value of B equal in A : B ratio and B : C ratio. Here, Value of B in A : B ratio is 3; and B : C ratio is 4. LCM of 3 and 4 is 12. Therefore, we multiply 4 to the first ratio and 3 to the second ratio. A : B = 2 × 4 : 3 × 4 A : B = 8 : 12 Also, B : C = 4 × 3 : 5 × 3 B : C = 12 : 15 Now, we can combine A : B and B : C. A : B : C = 8 : 12 : 15.

Step-by-step explanation:

the answer:  12 : 15

Answer:

             a = 60

             b = 80, and

             c = 100

Step-by-step explanation:

Be patient, this requires a few tedious steps.

We can take the first expression and pick one of the unknowns, I'll choose a, and rearrange the expressions such that a is expressed as a function of b and c.

Since:

a/3 = b/4 = c/5

We can separate out the values of b and c and express them as a function of a.

For example, a/3 = b/4 can be rewritten as

a/3 = b/4

4a = 3b

b = (4/3)a

When we're ready, we can substitute this value for b in the second equation, thereby eliminating b from the 2nd equation.

First, let's do the same for c:

a/3 = c/5

5a = 3c

c = (5/3)a

Now we can use the values for both b and c expressed only with "a" as the variable.  Use these values for b ((4/3)a) and c ((5/3)a) in the second equation:

240 - b = a + c

240 - (4/3)a = a + (5/3)a

240 = = a + (5/3)a +  (4/3)a

240 = (3/3)a + (5/3)a + (4/3)a

240 = (12/3)a

a = (240)*(3/12)

a = 60

Now that we have a, we can use the relationships we established at the start:

b = (4/3)a

b = (4/3)(60)

b = 80

c = (5/3)a

c = (5/3)(60)

c = 100

==

Summary

             a = 60

             b = 80, and

             c = 100

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

Do these work?

Check the numbers for 240 - b = a + c

                                    240 - 80 = 60 + 100 ?  

                                               160 = 160                          YES

And does  a/3 = b/4 = c/5?

                                 a/3 =  60/3 = 20

                                 b/4 =  80/4 = 20

                                 c/5 = 100/5 = 20                             YES

Answer:

To the nearest number = 47 ham sandwiches

Step-by-step explanation:

Mike deli just sold 328 ham sandwiches this week around how many ham sandwiches did mike sell every day this week (round to the nearest number )

Total ham sandwiches Mike sold this week = 328

Total number of days in a week = 7

how many ham sandwiches did mike sell every day this week

Number of ham sandwiches mike sell every day this week = Total ham sandwiches Mike sold this week / Total number of days in a week

= 328 / 7

= 46.9

To the nearest number = 47 ham sandwiches

The vertex of the parabola y = f(x + 1) is (1, -1).

To find the vertex of the parabola given by the equation y = f(x + 1), we need to determine the effect of the transformation on the vertex coordinates.

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.

In the given equation, y = f(x + 1), we can see that the transformation is a horizontal shift of 1 unit to the left. This means that the new vertex will be located 1 unit to the left of the original vertex.

Given that the original vertex is (2, -1), shifting 1 unit to the left would result in a new x-coordinate of 2 - 1 = 1. The y-coordinate remains the same.

Therefore, the vertex of the parabola y = f(x + 1) is (1, -1).

Learn more about parabola

brainly.com/question/11911877

# SPJ11