if a line is tangent to a circle at how many points does it interest the circle?

Answer:

[tex]f(-3)=91.25[/tex]

Step-by-step explanation:

Given :f(x)=81+3e−0.7x

To Find: Value of f(−3)

Solution:

[tex]f(x)=81+3e−0.7x[/tex]

Putting x = -3

[tex]f(-3)=81+3e−0.7*(-3)[/tex]

[tex]f(-3)=81+3e+2.1[/tex]

[tex]f(-3)=83.1+3e[/tex]

Since the defined value of e = 2.718

⇒[tex]f(-3)=83.1+3*(2.718)[/tex]

⇒[tex]f(-3)=83.1+8.154[/tex]

⇒[tex]f(-3)=91.25[/tex]

Thus the value of [tex]f(-3)=91.25[/tex]

Answer:

5.85

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

:)

Hello,

The correct answer is A) 3(3x + 2y) and 9x + 6y

Hope this helps!!!! (:

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

[tex] r_1=\frac{4}{2}=2 [/tex]

r2=(third term)/(second term)

[tex] r_2=\frac{8}{4}=2 [/tex]

r3=(fourth term)/(third term)

[tex] r_3=\frac{16}{8}=2 [/tex]

r4=(fifth term)/(fourth term)

[tex] r_4=\frac{32}{16}=2 [/tex]

we can see that all four ratios are same

[tex] r_1=r_2=r_3=r_4=2 [/tex]

so, this is geometric sequence

Calculation of general term:

We got

common ratio is

[tex] r=2 [/tex]

Let's assume

number of terms is n

first term is 2

[tex] a_1=2 [/tex]

now, we can use formula

[tex] a_n=a_1 (r)^{n-1} [/tex]

we can plug values

and we get

[tex] a_n=2(2)^{n-1} [/tex]

[tex] a_n=2^1(2)^{n-1} [/tex]

[tex] a_n=(2)^{n-1+1} [/tex]

[tex] a_n=(2)^{n} [/tex]..................Answer

Answer:

a1: 2     r1: 2

Step-by-step explanation

just did it on edge :)

the answer for the second part is the 1st and 4th formulas

Answer:

the relative age of the rock where it was found.

Explanation:

Study Island

The lateral area of the triangular prism is 21 square inches and the total surface area is 35 square inches.

To find the lateral area of the triangular prism, we need to calculate the area of all three sides excluding the bases. Since the bases are equilateral triangles with side lengths of 4 inches, the area of each base is ½ × base length × height = ½ × 4 × 3.5 = 7 square inches. The lateral area is the sum of the areas of the three sides, which is 3 × 7 = 21 square inches.

The total surface area of the prism includes the bases as well. So we need to calculate the area of the two triangular bases and add it to the lateral area. The total surface area is 2 (area of base) + lateral area = 2 × 7 + 21 = 35 square inches.

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The lateral area of the triangular prism is 60 square inches, and the total surface area is 74 square inches.

To find the lateral area and total surface area of a triangular prism:

Step 1: Calculate the Area of One Triangular Base

        [tex]Area = \frac{1}{2}*base*height[/tex]

       [tex]Area = \frac{1}{2} *4\ in*3.5\ in = 7\ square\ inches[/tex]

Step 2: Calculate the Perimeter of the Base

        Perimeter = 3 * side length = 3 * 4 in = 12 inches

Step 3: Calculate the Lateral Area

        Lateral Area = Perimeter * height of the prism

        Lateral Area = 12 in * 5 in = 60 square inches

Step 4: Calculate the Total Surface Area

Thus, the lateral area and total surface area are 60 square inches and 74 square inches.

Answer: A . selection bias

Step-by-step explanation:

The area of green of golf course can be found by summing the area of pieces like that given rectangles and triangles.

The resultant area of the green of the golf course is given by:

100 sq. feet

You have to calculate the area of those smaller pieces to find the total area of the green of the golf course.

The trapezoid in left of figure has height of 4 feet and parallel sides of 8 feet and 12 feet respectively.

Thus:

Area of trapezoid = [tex]\dfrac{1}{2}.\text{sum of parallel sides} \times height[/tex]

Area of trapezoid = [tex]\dfrac{1}{2}.4.(12+8) = 40 \: \rm feet^2[/tex]

The parallelogram on left has height 4 feet and base is of 15 feet.

Thus:

Area of parallelogram = [tex]\text{base} \times \text{height}[/tex] = [tex]4 \times 15 = 60 \: \rm feet^2[/tex]

Thus,

Total area = 40 + 60 = 100 sq. feet.

The resultant area of the green of the golf course is given by:

100 sq. feet

Learn more about trapezoid and parallelogram here:

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Answer:

d

Step-by-step explanation:

hope it helps

The required d is the dependent variable and t is the independent variable.

In mathematics, an equation is a statement that asserts the equality of two expressions. It typically contains one or more variables, which represent unknown values.

In the equation, d=60t, t is the independent variable and d is the dependent variable. The value of d depends on the value of t, which is the amount of time the car travels, and hence is the independent variable.

Thus, d is the dependent variable and t is the independent variable.

Learn more about equations here:

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Answer:

2

Step-by-step explanation:

To be able to find the greatest number of identical packages that Shaquira will be able to make, we first need to find the prime factors of the Chocolate Chip Cookies and Sugar Cookies.

86 Chocolate Chip Cookies

42 Sugar Cookies

Let's take the 86 Chocolate Chip Cookies first.

[tex]86 \left \{ {{2} \atop {43}} \right.[/tex] or 86 = 2 x 43

Now let's take the Sugar Cookies.

[tex]42 \left \{ {{2} \atop {21\left \{ {{3} \atop {7}} \right. }} \right.[/tex] or

42 = 2 x 3 x 7

Now that we have the prime factors, we then look for the Greatest Common Factor between the sets of prime factors.

2 x 3 x 7 = 42

2 x 43     = 86

2  = Total number of identical packages.

Answer:

2

Step-by-step explanation:

Answer:

[tex]9x^{2}+42xy+49y^{2}[/tex]

Step-by-step explanation:

we know that

[tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex]

In this problem we have

[tex](3x+7y)^{2}[/tex]

so

[tex]a=3x[/tex]

[tex]b=7y[/tex]

substitute

[tex](3x+7y)^{2}=(3x)^{2}+2(3x)(7y)+(7y)^{2}[/tex]

[tex]=9x^{2}+42xy+49y^{2}[/tex]

Answer: -18h^2+85h-18

Step-by-step explanation:

x = 112  

This is because

7/4 x 4/7 = 64/1 x 7/4                        

1x= 448/4                                           

Answer:

a. What is the percent of change in membership from 2010 to 2011 for Troop A?

[tex]\frac{16-14}{14}*100[/tex] = 14.28%

b. What is the percent of change in membership from 2010 to 2011 for Troop B?

[tex]\frac{24-21}{21}*100[/tex] = 14.28%

c. Which troop has the better record in terms of the number of new members?

Troop B.

d. Which troop has the better record in terms of the percent of change in membership?

Both have the same percentage change.