Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to two decimal places.) x = t^2 + 2t, y = 2^t − 2t The x y-coordinate plane is given. The curve starts at the point (48, 16), goes down and left becoming more steep, crosses the y-axis at the approximate point (0, 4.3), changes direction at the point (−1, 2.5), goes down and right becoming less steep, crosses the y-axis at the point (0, 1), crosses the x-axis at the point (3, 0), changes direction at the approximate point (5.2, −0.2), goes up and right becoming more steep, crosses the x-axis at the approximate point (7.9, 0), passes through the point (24, 8) marked with a dot and coordinates, and exits the window in the first quadrant.

Therefore , the solution of the given problem of unitary comes out to be Roland consequently closed 18 deals this week.

The job can be finished by multiplying the information variable obtained using this kind of nanosection all through add to the output of two people who used the unilateral strategy. Fundamentally, this entails that, whenever a desired outcome expression materialises, either the stated individual is recognised or, in reality, the pigment of both massive productions is skipped. A variable fee of Inr ($1.01) might have been necessary for forty pens.

Here,

Say Roland sold "x" number of items this week.

Chester then generated "x + 3" revenue.

Following are the numbers to determine Roland's earnings:

=> $186 + ($11 x x) = $186 + $11x for base pay (earnings per transaction x number of sales).

Chester's income can be determined using the formula below:

Base salary plus (Earnings per transaction multiplied by the quantity of sales)

=> $48+ ($16 x (x + 3))

=> $48 + $16x + $48

=> $96 + $16x.

They both earned the same sum, so we can set their earnings to be equal and find x:

=> $186 + $11x = $96 + $16x

When we take away $96 and $11x from both sides, we arrive at:

=> $90 = $5x

Adding $5 to both edges gives us:

=> x = 18

Roland consequently closed 18 deals this week.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Therefore, when the number of copies made in a month is above 4000, company A's charges are higher than company B's charges in the given equation.

Let's start by setting up an equation to represent the cost of renting a copier from each company:

Cost for company A = 0.10x + 200

Cost for company B = 0.05x + 400

where x is the number of copies made in a month.

To find the number of copies above which company A's charges are higher than company B's charges, we need to set the two equations equal to each other and solve for x:

0.10x + 200 = 0.05x + 400

0.05x = 200

x = 4000

To know more about equation,

https://brainly.com/question/28243079

#SPJ11

Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Learn more about multiplication at https://brainly.com/question/10873737

#SPJ1

Answer:

dalam rajah 1 and read the full q that is the ans

Answer:

x = 91° , y = 52°

Step-by-step explanation:

Opposite angles add up to 180°.

Therefore :

1. x° + 89° = 180°

x° = 180° - 89°

x° = 91° #

2. 76° + 2y° = 180°

2y° = 180° - 76°

2y° = 104°

y° = 104° / 2

y° = 52°#

In Mrs. Harmon's class of 30 students at Northwest Middle School, approximately 21 students most likely ride the bus, 6 students most likely ride in a car, and 3 students most likely walk to school based on the given percentages.

Based on the given information, we can determine the most likely number of students in Mrs. Harmon's class who ride a bus, ride in a car, and walk to school by applying the percentages to the total number of students in the class.

70% of 30 students = 21 students most likely ride a bus to school

20% of 30 students = 6 students most likely ride in a car to school

10% of 30 students = 3 students most likely walk to school

To know more about percentage:

https://brainly.com/question/24201567

#SPJ1

The critical value for this two-tailed test is 2.6759.

To conduct a two-tailed test at the 0.01 level of significance with a sample of 55 observations, we use the t-distribution because the population standard deviation is unknown. The critical value is determined by dividing the significance level (0.01) by 2 to account for both tails of the distribution. This gives an alpha level of 0.005. Using the degrees of freedom for a sample of size 55 (54 degrees of freedom), we find the corresponding critical value from a t-distribution table or calculator. In this case, the critical value is approximately 2.6759 when rounded to four decimal places.Since the population standard deviation is unknown, we'll use the t-distribution instead of the standard normal distribution. The degrees of freedom for a sample of size 55 is 54. Using a t-distribution table or a statistical calculator, the critical value for an alpha level of 0.005 and 54 degrees of freedom is approximately 2.6759 (rounded to four decimal places).

learn more about two-tailed tests here:
https://brainly.com/question/8170655

#SPJ11

Answer:

108°

Step-by-step explanation:

The shape is a pentagon. The angles in a pentagon add up to 540°. 540°÷5=108°

The solution of the equation y = 12x – 8 and y = 8x will be (2, 16). Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one.

The system of the equations are given below.

y = 12x – 8 …1

y = 8x       …2

Put equation 2 in equation 1, then we have

8x = 12x – 8

 8 = 12x – 8

4x = 8

 x = 2

Then put the value of x in equation 2, we have

y = 8 × 2

y = 16

Then the solution of the equation will be (2, 16).

Then the correct option is A.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

y = 3,224x + 750

Step-by-step explanation:

Assuming the scholarship and grants are applied using the slope intercept form y=mx+b where m is the slope in this case the cost per year attending x the number of years attended and b the y intercept which in this case is the one time fee subtracting 13,774 by 10,550 gives us 3,224.

Since the one time fee is only in place once that would make it the y intercept therefore y=3,224x+750 is the correct answer

The lengths of the diagonals or "hips" of the trapezoid are:

d1 = 10 cm

d2 = 4 cm

In an inscribed trapezoid, the opposite angles are supplementary, meaning they add up to 180 degrees. Since one of the angles in the trapezoid is 120 degrees, the opposite angle will be 180 - 120 = 60 degrees.

Now, let's label the trapezoid. Let A and B be the endpoints of the longer base, with AB = 10 cm, and let C and D be the endpoints of the shorter base, with CD = 4 cm. Let E be the intersection point of the diagonals, creating two triangles within the trapezoid.

Since the opposite angles at the intersection point of the diagonals are equal, we have angle AEC = angle BDE = 60 degrees.

Since the sum of the angles in a triangle is 180 degrees, we can find angle AED by subtracting the sum of angles AEC and BDE from 180 degrees:

angle AED = 180 - (angle AEC + angle BDE)

angle AED = 180 - (60 + 60)

angle AED = 60 degrees

Now, let's consider triangle AED. It is an isosceles triangle since AE = ED (both are radii of the circle). Thus, angle ADE = angle AED = 60 degrees.

We have angle AED = angle ADE = 60 degrees, and angle AEB = 120 degrees. Therefore, angle ABE = 180 - (angle AED + angle AEB) = 180 - (60 + 120) = 0 degrees.

Angle ABE being 0 degrees means that line AB is parallel to line CD. Hence, the trapezoid is actually a rectangle.

In a rectangle, the diagonals are equal in length. Let's denote the length of the diagonals as d1 and d2.

Since AB and CD are the bases of the trapezoid, d1 is equal to the longer base AB, and d2 is equal to the shorter base CD:

d1 = 10 cm

d2 = 4 cm

Therefore, the lengths of the diagonals or "hips" of the trapezoid are:

d1 = 10 cm

d2 = 4 cm

for such more question on trapezoid

https://brainly.com/question/22351006

#SPJ8

In the given table to determine if the relation is a function we need to check if each input (x) maps to exactly one output (y).

In other words, if the x-values are not repeated then it is a function.

In the table there is not x-values repeated, so, the table define y as a function of x.

The answer is yes.

Answer:

1) 145°

2) 20°

3) x = 7 ; measurement of the missing angle = 24

Step-by-step explanation:

1) supplement = 180°, 180 - 35 = 145

2) complment = 90° , 90 - 70 = 20

3) the figure is a right angle so the measurement is 90°

66 + (4x-4) = 90

62 + 4x = 90

4x = 28

x = 7

4(7) - 4

28 - 4

= 24

Answer: for the 3rd question x = 7

Step-by-step explanation: 4x - 4 + 60 = 90

                                                     +4    -66.    -66

Answer:

200 minutes

Step-by-step explanation:

The first plan:

\(A=0.11m+19\)

The second plan:

\(B=0.15m+11\)

To find the point where the plans are equal in cost, set them equal and solve for \(m\):

\(0.11m+19=0.15m+11\)

\(0.11m+19-11=0.15m\)

\(19-11=0.15m-0.11m\)

\(8=0.04m\)

\(200=m\)

Therefore, at 200 minutes, both calling plans are equal in cost. To verify, we substitute 200 for \(m\) in each formula and check that they are equal:

\(A=0.11m+19\)

\(A=0.11(200)+19\)

\(A=22+19=41\)

\(B=0.15m+11\)

\(B=0.15(200)+11\)

\(B=30+11=41\)

Answer:

I dont get this ??

Step-by-step explanation:

A correlation value of 0 indicates that there is no linear relationship between the two quantitative variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two quantitative variables. The value of r ranges between -1 and 1, with 0 indicating no linear relationship.

When the correlation coefficient is 0, it means that there is no linear association between the variables. This implies that the variables do not show a systematic pattern or trend when plotted on a scatterplot. The absence of a linear relationship suggests that changes in one variable do not correspond to predictable changes in the other variable.

Therefore, the best interpretation of a correlation value of 0 is that there is no linear relationship between the two variables. It does not imply the absence of any relationship between the variables, as they could still be related in a nonlinear or non-monotonic manner. However, it indicates that the variables do not have a consistent linear association.

Learn more about  correlation here:

https://brainly.com/question/30524977

#SPJ11

Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.

To know more about equation,

https://brainly.com/question/649785

#SPJ4

Answer:

12 times the 3 equals to around 36 seconds

Step-by-step explanation:

Answer:

The missing base measure of the enlarged trapezoid is 4cm.

Step-by-step explanation:

Step 1:

2 / 3.25 = x / 6.5

Step 2:

Cross product

2 * 6.5 = 3.25 * x

Step 3:

Simplify

13 = 3.25x

Step 4:

Divide both sides by 3.25

13 / 3.25 = 3.25x / 3.25

4 = x

x = 4

The missing base measure of the enlarged trapezoid is 4cm.

Answer:

its 4cm

Step-by-step explanation:

i got it right

Answer:

13.2 ft

Step-by-step explanation:

We are given a ladder, a building, and an angle. Let's construct a right triangle (see attachment).

In this right triangle, we know that the hypotenuse (the ladder) is 25 feet, while the angle made between the top of the ladder and the building is 32°. Since we want to find the number of feet between the building and the base of the ladder, we will use the trigonometric function sine, which is opposite divided by hypotenuse.

Here, the opposite side is the value we want to find, while the hypotenuse is the length of the ladder.

We have:

sin(32°) = opposite / hypotenuse = x / 25

x = 25 * sin(32°) ≈ 13.2 ft

The answer is thus 13.2 ft.

~ an aesthetics lover

Probability that a randomly selected point falls in the white area is; 84.1%

The formula for area of a circle is;

A = πr²

where r is radius.

Thus;

A_circle = π * 4² = 50.265 cm²

Now, formula for area of triangle is;

A_tria = ¹/₂ * base * height

A_tria = ¹/₂ * 4 * 4 = 8 cm²

Thus;

Area of white portion = 50.265 cm² - 8 cm²

Area of white portion = 42.265  cm²

Thus;

Probability that a randomly selected point falls in the white area is;

P(White area) = 42.265/50.265 = 0.8408

= 84.1%

Read more about probability at; https://brainly.com/question/24756209

#SPJ1

The simplified sum of the expression ∑+1=−1 (2 − 1) is 2.

The given expression is the sum of (2 - 1) from i = -1 to n, where n = 1. Therefore, the expression can be simplified as follows:

∑+1=−1 (2 − 1) = (2 - 1) + (2 - 1) = 1 + 1 = 2

In this case, the value of n is 1, which means that the summation will only be performed for i = -1. The expression inside the summation is (2 - 1), which equals 1. Thus, the summation is equal to 1.

Adding 1 to the result of the summation gives:

∑+1=−1 (2 − 1) + 1 = 1 + 1 = 2

Therefore, the simplified sum of the expression ∑+1=−1 (2 − 1) is 2.

Know more about summation here:

https://brainly.com/question/29334900

#SPJ11

Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:

$$PF + PF' = 2a,$$

where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:

$$9 + 12 = 2a,$$

$$21 = 2a.$$

Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$

The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:

$$c = \sqrt{a^2 - b^2}.$$

We can solve for $b$ using the distance to one focus:

$$c = \sqrt{a^2 - b^2},$$

$$c^2 = a^2 - b^2,$$

$$b^2 = a^2 - c^2,$$

$$b = \sqrt{a^2 - c^2}.$$

Substituting the known values:

$$b = \sqrt{10.5^2 - 9^2},$$

$$b = \sqrt{110.25 - 81},$$

$$b = \sqrt{29.25},$$

$$b \approx 5.408.$$

Therefore, the semi-minor axis $b$ is approximately $5.408.$

Finally, we can determine the lengths of the major and minor axes:

The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$

The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$

Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.

Learn more about Lengths here:

https://brainly.com/question/30234598

#SPJ11

Answer:

n(A) = 5 and n(B) = 9

Step-by-step explanation:

It should be 5 in A and 9 in B

The probability that Stephen Curry's shot will be a three-point shot is approximately 0.566 or 56.6%.

To calculate the probability of an event, you divide the number of favorable outcomes (in this case, the number of three-point shot attempts) by the total number of possible outcomes (the total number of shot attempts).

In this scenario, Stephen Curry attempted 460 shots from three-point range out of a total of 813 shots.

By dividing these two values, we get the probability of approximately 0.566 or 56.6%. This means that there is a 56.6% chance that Stephen Curry's shot will be a three-point shot.

Learn more about Stephen Curry's

brainly.com/question/30402688

#SPJ11

Answer:

Choice 3 and 5

Step-by-step explanation:

Answer: A,B,E

Step-by-step explanation:

Just trust me

Answer:

109 x 3 = 327

Step-by-step explanation:

Here is the expected number of broken machines or tanks and K is the total number of tanks. So (K-L) gives the number of tanks in working condition.

The number of repairmen (R) needed to have an average of at least 180 tanks working is to be determined. Thus as observed from the results obtained for one-way data table, the value of R such that (K-L) is at least 180 is R = 11 repairmen

The Expected number of broken or bad machines (L) is

\(L=\sum j\pi_i\)

The Expected number of machines waiting for service (1) is

\(L=\sum (j-R)\pi_i\)

An expected number of words is often used as a guideline to ensure that the content is neither too long nor too short. In this case, the expected number is 150 words. A 150-word piece of writing can be considered a short composition. It is long enough to convey a basic idea or message, but not so long that it becomes tedious to read. This length is often used in blog posts, news articles, and social media updates.

When writing a 150-word piece, it is important to make every word count. The writing should be clear and concise, with each sentence contributing to the overall message. It may also be helpful to outline the main points before starting to write to ensure that the piece stays focused.

To learn more about Expected number visit here:

brainly.com/question/30887967

#SPJ4

The given statement that a trinomial is always a higher degree than a monomial is false because greater number of terms does not means higher degree.

A monomial is an algebraic expression with only one term. Or we can say that the representation of a single concept is a monomial.

An example of an unary expression is: 12

A trinomial is an algebraic expression containing three terms. An example of a ternary is: x + y + 7

A trinomial is always of higher degree than a monomial is false statement .

A counterexample can be used to explain why this is wrong. Suppose we have a monomial, 8⁵ and then a trinomial x² + 2x + 3 . This is just a random example. This monomial has a higher degree because 5 is greater than 2. So basically it doesn't matter what the monomial is, if the degree is higher it is just a term than the maximum degree of the trinomial. Just because this has three terms does not mean that the highest degree term is greater than his one term in the monomial.

To learn more about Monomial and trinomial, refer:

https://brainly.com/question/24620388

#SPJ4

Taking into account definition of perimeter and system of equations,  the length and width of the frame is 32 inches and 21 inches respectively.

The perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.

So, the perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure. So to calculate the perimeter of a figure it is necessary to know two basic variables:

A rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length. The expression to calculate the perimeter of a rectangle is:

Perimeter= 2×(length + width)

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know that:

So, the system of equations to be solved is

\(\left \{ {{2x(L+W)=106} \atop {L=2xW-10}} \right.\)

From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

2×(2×W - 10 + W)=106

Solving:

2×(3×W - 10)=106

2×3×W - 2×10=106

6×W - 20=106

6×W=106 + 20

6×W=126

W=126 ÷6

W= 21

Remembering that L= 2×W - 10, you get:

L= 2×21 - 10

Solving:

L= 32

Finally, the length and width of the frame is 32 inches and 21 inches respectively.

Learn more about

the perimeter:

brainly.com/question/19819849

brainly.com/question/17297081

brainly.com/question/28292632

system of equations:

brainly.com/question/14323743

brainly.com/question/1365672

brainly.com/question/20533585

brainly.com/question/20379472

#SPJ1

If x is the point reached by F after t seconds, and y is the point reached by S after t seconds, then x = 3t, y = 2t. 30 seconds after leaving point 0, 30 units far apart are F and S. At 100 seconds, F and S will be 100 units apart.

The speed of F reached 12 units in 4 seconds or 3 units per second.

 x = 3t

The speed of S reached 8 units in 4 seconds or 2 units per second.

 y = 2t

x - y = 3t -2t = t

After 30 seconds, the bugs will be apart by (x -y) = 30 units

x - y = 100 = t

After 100 seconds, The bugs will be 100 units apart.

To know more about speed, here

https://brainly.com/question/312131

#SPJ4