Help me please! :)
And please explain how you got it

An equation of the tangent line to curve [y = e⁶ˣ cos x] at the given point  (0, 1) is y = x + 6.

At a given point, the tangent line of a curve is a line that really just contacts the curve (function). In calculus, the tangent line may connect the curve at any other point(s), and it may also cross the graph at any other point(s).

Now, as per the given question;

Because of this, point (0,1) is a tangent point;

y = f((0) = e⁰cos0 = 1.

We differentiate to get the slope of the tangent line m. Tangent line equation:

y' = 6e⁶ˣcosx - e⁶ˣ sinx;

Thus, the slope of the curve becomes;

m = f'(0) = 6.

Substituting the values of slope and coordinates (0, 1).

y = 6 + 1(x - 0),

Simplifying the equation.

y = x + 6

Thus, the equation of the tangent line to the given curve is y = x + 6.

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(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white

​(b)14 outcomes.

There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.

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Answer:

1. 6.9×10^6, 2. 3.8×10^1, 3. 8.19×10^-2, 4. 14.175×10^4,5. 0.2375×10^13,6. 3.75×10^-16

Step-by-step explanation:

1.3.9×2.3×10^2×10^4

=6.9×10^6

2.4.18×9×10^4×10^-6

=3.8×10^1

3.9.75×8.4×10^4×10^-6

=8.19×10^-2

4. 9.45/1.5×10^10/10^6

=14.175×10^4

5.1.14/4.8×10^5/10^-8

=0.2375×10^13

6.9/2.5×10^-11/10^4

=3.75×10^-16

Answer:

Whole numbers

Step-by-step explanation:

Integers and whole numbers are similar, but integers contain negatives and whole numbers do not. Since a city cannot have a negative population count, we'd prefer whole numbers.

Rational numbers allow for non-whole numbers, but again, a city can't havea population of something and a half person. We again prefer whole numbers.

Answer:

Whole Numbers

Step-by-step explanation:

So cities Have complete number the represent it so integers are negative numbers and fractions and rational numbers are fractions so whole number is the only number that are complete and is not a fraction so therefore the only answer it could be is whole numbers

Answer:43.8

Step-by-step explanation:

add up all of the numbers then divide the number by the number of numbers u had in the beginning. Hope this helps! Let me know if you need more explaining !

Answer:

1 is  6.45

Step-by-step explanation:

3.25+1.55+1.65=6.45

Answer:

e

Step-by-step explanation:

just use a calculator for these questions

Answer:

Part A: Run=4 Rise= 8

Part B: Run=1 Rise=2

Step-by-step explanation: When counting run, count the boxes on the x axis (count how many boxes it goes to the left/tight) When counting rise, count the boxes on the y axis (Count how many boxes it goes up)

Note: Answer may be a number off. Couldnt see picture well

The process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as statistical inference.

Inferential statistical analysis infers attributes of a population, for instance by testing hypotheses and generating estimates. Statistical inference is the process of employing data analysis to infer properties of an underlying probability distribution. The observed data set is thought to be a sample of a broader population. Comparable to descriptive statistics is inferential statistics. The focus of descriptive statistics is exclusively on the characteristics of the observed data; it is not predicated on the idea that the data are representative of a wider population. In machine learning, the phrase "create a prediction by evaluating an already trained model" is commonly used instead of "infer." Statistical inference uses data that has been sampled from a population to make claims about that population.

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The probability of six appearing is C. 1/16.

It should be noted that probability simply has to do with the chance that something will happen.

In this case, the die has 16 faces

Therefore, the probability of six appearing will be:

= Number of six / Total number

= 1/16

Therefore, the probability of six appearing will be 1/16.

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Answer:

the answer is

Step-by-step explanation:

c= -6

hope this help

The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.

In the question, we are given that the scale of a map is 1 in.: 15 mi.

We are asked to find the actual distance corresponding to the map distance, given the map distance is 4.5 in.

The scale given to us is 1 in. : 15 mi.

This means that 1 inch on the map represents 15 mi. in the actual case.

Thus, the actual distance corresponding to the map distance of 4.5 in. is 15 * 4.5 mi. = 67.5 mi.

Thus, The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.

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Answer: about 47 haircuts

Answer:

80 percent of the students are right handed while the 20 percent are left handed

Answer: A

400/500=n/100

or 80%

Step-by-step explanation:

One ratio should represent the numbers of students, and the other ratio should show the percent out of 100.

There are 400 right-handed students out of 500; this ratio is 400/500

The percent, n, is unknown, so this ratio is n/100

Answer: 60%

Step-by-step explanation:

1=100%

0.6=0.6*1

0.6=0.6*100%

0.6*100%=60%

The total amount of flour needed for the recipe is 13 65/72 cups

A recipe needs 5 1/8 cups of flour before baking

The recipe also needs another 8 7/9 cups of flour after baking

The total amount of flour used for the recipe can be calculated by adding both amount of cups used.

= 5 1/8 + 8 7/9

= 369+632/72

= 1001/72

Convert to a mixed fraction

13 65/72

Hence the total amount of flour needed for the recipe is 13 65/72 cups

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The inequalities for the triangle are as follows:

The value of x that makes sense in the triangle  is 7.

The triangular inequality theorem theory states that the sum of the length of any two side of a triangle is greater than the length of the third side.

Therefore,

a + b > c

a + c > b

b + c > a

Therefore, the three inequalities for the triangle is as follows:

The value of x that makes sense is 7.

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Answer:

d. 61²-1-2 f. 6x² -17x+10. (6x-5Xx-2) i. 20x³ +8x²y-5xy² - 2y³. 4x² (5x+2y) - y² (5x+2y) ... r=0 r=4 r= {0,4} d. 3x³ +2x²-27x-18=0 x²(3x+2)-9 (3x+2) = 0.

9 pages

Step-by-step explanation:

The perimeter of the square is 52 units.

In this question,

the points (1, -2) and (-4, 10) are adjacent vertices of a square.

We need to find the perimeter of the square

The side length of a square is the distance between given two points.

Let a be the side length of the square.

[tex]a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13[/tex]

The side length of the square is 13 units.

so, the perimeter of a square would be,

P = 4a

P = 4 × 13

P = 52 units

Therefore, the perimeter of the square is 52 units.

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Answer:

5/6

Step-by-step explanation:

Answer: 5/6

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

It will land on 1, Prob (land on 1) = 1/6

It will not land on 1, the probability will be given as:

Prob (not land on a 1) = 1 - 1/6

Prob (not land on a 1) = 5/6

Hence the probability that it will not land on a 1 is 5/6

The amount that is taken out in federal taxes is $6,968.50. The amount taken for Social security is $3,162. And the amount for Medicare is $739.50.

For person earning an annual salary of $51,000, the federal tax in April, 2022 will be:

= 4,664 + 22% of income over $40,525

= 4,664 + (22% x (51,000 - 40,525))

= $6,968.50

Social security is:

= 6.2% x 51,000

= $3,162

Medicare taxes:

= $739.50

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Answer:

69.66 cm

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.3 cm}\underline{Circumference of a circle}\\\\ $C=\pi d$\\\\where $d$ is the diameter\end{minipage}}[/tex]

From inspection of the given diagram:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

Therefore, the perimeter of the given shaded region is the sum of half the circumference of the larger circle, half the circumference of the smaller circle, and the two 5 cm ends.

[tex]\begin{aligned}\sf \implies Perimeter & = \sf \dfrac{1}{2} \pi (24) + \dfrac{1}{2} \pi (14) + 5 + 5\\& = \sf \dfrac{1}{2}(3.14)(24) + \dfrac{1}{2}(3.14)(14) +10\\& =\sf 37.68+ 21.98+10\\& =\sf 69.66\:\:cm\end{aligned}[/tex]

Therefore, the perimeter is 69.66 cm.

The perimeter of the shaded region is 12.56 times the radius of one of the semicircles.

To find the perimeter of the shaded region, we need to find the total length of all the boundaries.

The shaded region consists of two semicircles, so we can start by finding the circumference of each semicircle.

The formula for the circumference of a circle is C = 2πr.

Since we have two semicircles, we need to find the radius for each and then add the two circumferences together to get the total perimeter.

Let's say the radius of each semicircle is r.

Using the given value of π as 3.14,

the circumference of one semicircle is 2 * 3.14 * r = 6.28r.

Therefore, the total perimeter is 6.28r + 6.28r = 12.56r.

So, the perimeter of the shaded region is 12.56 times the radius of one of the semicircles.

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Answer:

1,56

Step-by-step explanation:

8/9minus-2/3

=8/9+2/3

(- multiply by - = +)

=24+18/27

=41/27

=1,5

According to the statement 25t is the distance between the ships after t hrs.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that perhaps the area of something like the square on which side would be the hypotenuse is equivalent to the sum of something like the areas of the squares on each of the other two sides.

The Pythagorean theorem is only valid for right-angled triangles. When any two numbers are known, we can use Pythagoras' theorem to compute the unknown sides of something like the triangle. Other real-world applications of Pythagoras' theorem include engineering and architecture.

The first ship travels north at 20 kilometers an hour, while the second travels west at 15 miles per hour.

equation for the given distance between boats after t hours:

C² = a² + b²

C = √(a² + b²)

a = dist. traveled in t hrs. of the 1st ship.

b = dist. traveled in t hrs. by 2nd ship.

c = dist. between the two ships after t hrs. (d)

Using formula Distance  = speed * time (t)

d = √((20t)²+(15t)²)

d = √(625t²)

d = 25t is the distance between the ships after t hrs.

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The total number of candies in the store is 312. It is obtained by using the concept of exponent and power on the given problem.

What is an Exponent?

The number of times a quantity is multiplied by itself is referred to as an exponent or power of the given quantity. For eg: 25, where 5 is an exponent or power of 2 and 2 is called the base of exponent 5. Any quantity raised to the power 0 always returns 1 as result.

Calculation of the total number of candies in the store

(36)2 * 30

Using the properties of an exponent, we have

A number with an exponent of 0 always gives 1

(36)2 * 1

(3)6×2 * 1

312 * 1

312

Thus, the total number of candies in the store is 312.

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The equation that is perpendicular to the line that is drawn by Leo will be C. y - G = -1/2(x - F)

Based on the information given, it should be noted that the slope of the line from the graph will be:

m = y intercept/ x intercept

= 2

The like is also passing through the coordinates (F, G).

Therefore, the appropriate equation will be y - G = -1/2(x - F).

In conclusion, the correct option is C.

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Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F, G). Which of the following is the equation of Leo's line?

A) y - F = -2(x - G)y

B) y + F = 2(x + G)

C) y - G = -1/2(x - F)

D) y - G = -1/2(x + F)

Answer:

$10.60

Numerical expression:

($3.50 x 2 ) + (3 x $1.20)

= $7 + $3.60

= $10.60

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Answer:

20: Pattern 8.
21: n * n = 64

Step-by-step explanation:

8*8=64, so assuming that n is the missing variable, if we use 8 in place of n, we have 64, the "equals (=)" value will always change depending on n's value. So assuming n is equal to 8, 8*8=64

Answer:

8, 8, and 8 make up 24.

Answer: y=-2x+7

Step-by-step explanation:

                                   The equation of a line

                                       [tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]

(8,-9)    (-4,15)

x₁=8     x₂=-4     y₁=-9     y₂=15

[tex]\displaystyle\\\frac{x-8}{-4-8} =\frac{y-(-9)}{15-(-9)} \\\\\frac{x-8}{-12}=\frac{y+9}{15+9} \\\\\frac{x-8}{-12}=\frac{y+9}{24}[/tex]

Let's multiply both parts of the equation by 24:

[tex]\displaystyle\\\frac{24(x-8)}{-12} =y+9\\\\-2(x-8) =y+9\\\\-2x+16=y+9 \\\\-2x+16-9=y+9-9\\\\-2x+7=y\\\\Thus,\\\\y=-2x+7[/tex]