PLS HELP WILL MARK BRAINLIEST !

Answer:

.36

Step-by-step explanation:

To find the decay factor

y = a(1-b)^x

b = 1-rate of decrease

   = 1-64%

   = 1-.64

   = .36

From the addition rule of integral, the evaluate value of the definite integral,\(\int_{0}^{\frac{\pi }{3}} (sec²x + 3x )dx \), is equals to the \( \sqrt{3} + \frac{π²}{6}\).

Definite integral of f(x) is a number and represents the area under the curve of a function f(x) from x=a to x= b.

We have an definite integral, \(\int_{0}^{\frac{\pi }{3}} (sec²x + 3x )dx \). We have to evaluate it's value. Using the addition rule of integral, \(\int_{0}^{\frac{\pi }{3}}(sec²x + 3x )dx = \int_{0}^{\frac{π}{3}} sec ²x dx + \int_{0}^{\frac{π}{3}} 3xdx \).

Apply the general integral rules and the fundamental theorem of integrals,

\( = [tan(x)]_{0}^{\frac{π}{3} }+ 3\int_{0}^{\frac{π}{3}}xdx ( using the trigonometric rule in indefinite integral, \( \int sec² u du = [tan(u) + C] \))

\( = [tan(\frac{π}{3}) - tan(0) ]+ 3 [\frac{x²}{2}]_{0}^{\frac{π}{3}}\) ( from the indefinite integral using the expontent rule, \( \int u^{n }du = \frac{u^{n + 1}}{n + 1} + C] \))

\( = \sqrt{3} + \frac{3}{2}(\frac{π}{3})²\)

\( = \sqrt{3} + \frac{π²}{6}\).

Hence, required value is \( \sqrt{3} + \frac{π²}{6}\).

For more information about integral, visit:

https://brainly.com/question/27746495

#SPJ4

Complete question:

Evaluate the definite intergral integral from \(\int_{0}^{\frac{\pi }{3}} (sec²x + 3x )dx \).

Answer:

rectangular prisim

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

rectangle shaped box

The type of variable that represents the names of the automobile manufacturers would be the categorical variable.

A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.

There are various types of variables that include the following:

Learn more about variables here:

https://brainly.com/question/30292654

#SPJ1

The amount of ribbon needed for a square poster will be 20.

And, The amount of ribbon needed for a triangular poster will be 15.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation are;

⇒ s = t + 5

⇒ 45 + 2t = 110​

Now,

Since, The system of equation are;

⇒ s = t + 5         ..(i)

⇒ 4s + 2t = 110​  ..(ii)

Solve equation (ii) for t as;

⇒ 45 + 2t = 110​

⇒ 4s + 2t - 4s = 110​ - 4s

⇒ 2t = 110 - 4s

⇒ t = 55 - 2s

Substitute above value in equation (i), we get;

⇒ s = t + 5  

⇒ s = 55 - 2s + 5  

⇒ s + 2s = 60

⇒ 3s = 60

⇒ s = 20

And,   ⇒ t = 55 - 2s

⇒ t = 55 - 2 x 20

⇒ t = 55 - 40

⇒ t = 15

Thus, The amount of ribbon needed for a square poster will be 20.

And, The amount of ribbon needed for a triangular poster will be 15.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Therefore, The volume of the region bounded above by the paraboloid z=4x^2+3y^2 is 8π/3. This is obtained by evaluating the double integral using polar coordinates.

Explanation: To find the volume of the region bounded above by the paraboloid z=4x^2+3y^2, we need to integrate the double integral of the function z over the region. The region is defined by the paraboloid z=4x^2+3y^2 and the xy-plane. We can write the double integral as ∬R 4x^2+3y^2 dA, where R is the region in the xy-plane. To evaluate this integral, we need to determine the limits of integration for x and y. The region R is a circle with a radius 1, centered at the origin. Therefore, we can use polar coordinates to evaluate the integral. The limits for r are 0 to 1, and the limits for θ are 0 to 2π. After evaluating the integral, we get the volume of the region to be 8π/3.

Therefore, The volume of the region bounded above by the paraboloid z=4x^2+3y^2 is 8π/3. This is obtained by evaluating the double integral using polar coordinates.

To know more about the function visit :

https://brainly.com/question/11624077

#SPJ11

Answer:

80%

Step-by-step explanation:

64/80=8/10

Answer:

80%

Step-by-step explanation:

First divide 64 by 80 then multiply answer by 100 which gives you 80

Answer:

8x+12

Step-by-step explanation:

Answer:

\(4(2x + 3)\)

Step-by-step explanation:

1. Factor out common terms in the first two terms, then in the last two terms.

\(2x + 3 + 2x + 3 + 2x + 3 + 2x + 3\)

2. Collect like terms.

\((2x + 2x + 2x + 2x)(3 + 3 + 3 + 3 )\)

3. Simplify.

\(8x + 12\)

4. Factor out the common term.

\(4(2x + 3\)

Therefor, the answer is 4(2x + 3)

Answer: (-2,3)

Step-by-step explanation: To figure out where the missing point, D, would go, you have to figure out which side DE is congruent to and what side is missing. I saw that DE is correlates to the base of the triangle because that's the only one of that length. From there, I counted up from the center of the base, DE, to find a good place for the vertex, and made sure it was the same exact distance from DE as C is from the base of the first triangle.

Answer:

Step-by-step explanation:

11.

Area as sum: \(7d+7*4\)

Area as Product: 7(d+4)

12. Area as sum: y*y+y*3

Area as Product: y(y+3)

Answer:

36)12(37)0.67

Step-by-step explanation:

36)A=base×height

A=2×6

A=12

37)A=a+b/2h

A=2+6/12

A=8/12

A=0.67

Answer:

0.013

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Given n = 6, p = 0.69, and r = 0 or 1:

P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹

P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵

P = 0.013

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

Learn more about the differentiation here:

brainly.com/question/954654

#SPJ11

Answer:

Step-by-step explanation:

The function \(f(x)=x^2+4\) is a positive upwards opening parabola with the vertex at (0, 4), whereas

the function \(g(y)=y^2+4\) is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.

Answer:

slope = - \(\frac{3}{2}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 1 ) and (x₂, y₂ ) = (8, - 8 ) ← 2 ordered pairs from the table

note that any 2 ordered pairs may be used to calculate m

m = \(\frac{-8-1}{8-2}\) = \(\frac{-9}{6}\) = - \(\frac{3}{2}\)

Answer:

2/5

Step-by-step explanation:

There's 5 jellybeans in the bag total and of the five, 2 of them are red, so the probability that Cynthia gives him 2 reds is 2/5.

Answer:  D) 1/10

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

Explanation:

Initially there are

Giving 2+1+2 = 5 total

The fraction 2/5 represents the probability of picking red

After a red bean is chosen, there's 2-1 = 1 red left out of 5-1 = 4 total. The fraction 1/4 is the probability of getting another red jelly bean.

Multiply those fractions to get the final answer

(2/5)*(1/4) = 2/20 = 1/10

(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

To learn more about volume of rectangle link is here

brainly.com/question/13798973

#SPJ4

Answer:

x = 105°

Step-by-step explanation:

Question :

\(\frac{12}{35} =\frac{36}{x}\)

You can use cross multiplication to solve this.

Let us solve now

\(\frac{12}{35} =\frac{36}{x}\)

12 × x = 35 × 36

12x = 1260

Divide both sides by 12.

x = 105°

Hope this helps you :-)

Answer:

The value of x is 105.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

\(\begin{gathered}\end{gathered}\)

Solution :

\(\begin{gathered} \begin{array}{l}\dashrightarrow{\sf{\dfrac{12}{35} = \dfrac{36}{x}}}\\\\\dashrightarrow{\sf{12 \times x = 35 \times 36}}\\\\\dashrightarrow{\sf{12x = 35 \times 36}}\\\\\dashrightarrow{\sf{x = \dfrac{35 \times 36}{12}}}\\\\\dashrightarrow{\sf{x = \dfrac{35 \times \cancel{36}}{\cancel{12}}}}\\\\\dashrightarrow{\sf{x = 35 \times 3}} \\\\\dashrightarrow{\sf{x = 105}} \\ \\\star\small{\underline{\boxed{\sf{\red{X = 105}}}}}\\ \end{array}\end{gathered}\)

Hence, the value of x is 105.

\(\rule{300}{1.5}\)

Answer: 14%

Step-by-step explanation:

Complete question is provided in the attachment below:

Probability that members of the junior varsity swim team wear glasses = 55%=0.55

Given: P(wear glasses) = 0.55

P(not wear glasses) = 1-0.55 = 0.45

P(member in 10th grade | not wear glasses) = 30%

Using conditional probability formula:

\(P(B|A)=\dfrac{P(A\text{ and } B)}{P(A)}\)

\(\Rightarrow\ 0.30=\dfrac{P(\text{not wear glasses and in 10th grade})}{0.45}\\\\\Rightarrow\ P(\text{not wear glasses and in 10th grade})=0.45\times0.30\\\\0.135=13.5\%\approx14\%\)

Hence, the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade = 14%.

So, the correct option is "14%".

Answer:

a

because it is math

simple math

VERY simple math

At the end of the eighth week, there will be 51,200 ants in the colony.

To determine the number of ants in the colony at the end of the eighth week, we need to consider that the number of ants doubles each week. Starting with 400 ants, we can calculate the number of ants at the end of each week using exponential growth.

Week 1: 400 ants

Week 2: 400 * 2 = 800 ants

Week 3: 800 * 2 = 1600 ants

Week 4: 1600 * 2 = 3200 ants

Week 5: 3200 * 2 = 6400 ants

Week 6: 6400 * 2 = 12800 ants

Week 7: 12800 * 2 = 25600 ants

Week 8: 25600 * 2 = 51200 ants

It's important to note that this calculation assumes ideal conditions of exponential growth and does not account for any factors that could limit or affect the ant population in real-life situations. Additionally, the actual growth of an ant colony may be influenced by various factors, such as resource availability, competition, and external threats.

For more such questions on ants

https://brainly.com/question/30211492

#SPJ8

Answer:

y= -x-4

Step-by-step explanation:

x+y=-4

move the x to the other side

y= -x-4

Answer:

% increase will be: 16.28%

Step-by-step explanation:

You plant a tree that is 36 inches tall.

After one year, the tee is 43 inches tall.

Therefore, the percent of the increase will be:

% increase = 100% × (final - initial)/ initial

                  = 100% × (43 - 36)/36

                  =  100% × 7/36

                 = 100% × 0.16

                 = 16.28%

Thus, % increase will be: 16.28%

Answer:4

Step-by-step explanation:22-4=18-4=14-4=10-4=6=2

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

To more on Progression:
https://brainly.com/question/30442577
#SPJ8

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= 4,000 + 10,000= $14,000

Unitary variable cost= $5.5

Selling price= $7.2

To calculate the number of units to be sold to break-even, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 14,000 / (7.2 - 5.5)

Break-even point in units= 8,235 units

In dollars:

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 14,000 / (1.7/7.2)

Break-even point (dollars)= $59,294

Now, imagine the company requires a profit of $50,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= 64,000/1.7

Break-even point in units= 37,647 units

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)= 64,000 / (1.7/7.2)

Break-even point (dollars)= $271,059

Answer:

the first one

Step-by-step explanation:

the one on top because it shows 4:1 ratio