A store buys a bike for $140. They mark up the bike 25%. What is the selling price?

The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

The limit of the function is determined as follows;

[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]

The derivative of the function;

[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]

Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

Learn more about limits here: https://brainly.com/question/23935467

#SPJ1

Answer:

The perimeter of the rectangle is 28 units

Answer:

C

Step-by-step explanation:

8- 3.14159265359 = 4.85840734641.

or

8-pi = 4.85>5 which is incorrect.

Answer:

C & D

Step-by-step explanation:

x^2+6x+7=0

Delta=b^2-4ac=6^2-(4*1*7)=36-28=8

X=((-b)+-(delta)^(1/2))/2

X=((-6)+-(2^(3/2)))/2

[tex]x1 = - 3 - \sqrt{2} \\ x2 = - 3 + \sqrt{2} [/tex]

Answer:

3.75 cubic centimeters

Step-by-step explanation:

1.5*2.5*1 cubic centimeters

Answer:

3/20

Step-by-step explanation:

1/2 x 3/5 x 1/2

L x W x H is the formula

Length x Width x Height

count the squares, they're each 1/2 so multiply the number of squares with 1/2.

For example, the rectangular prism is 3 squares high, which means it's 3/6, and that simplifies to 1/2. Now you have your height. You do the same for the width and length.

Hope this helps <3

Answer:

[tex]S_5=\frac{211}{16}[/tex]

Step-by-step explanation:

We can easily see that the common ratio is [tex]r=\frac{3}{2}[/tex] and we are to find the first [tex]n=5[/tex] terms:

[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_5=\frac{1(1-(\frac{3}{2})^5)}{1-\frac{3}{2}}\\\\S_5=\frac{1-\frac{243}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{-\frac{211}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{422}{32}\\\\S_5=\frac{211}{16}[/tex]

Answer:

J. 12 : 18

Step-by-step explanation:

Amy used 2 tea bags for every 3 cups of water to make iced tea

the ratio here is 2:3

x = 2:3

lets simplify our ratios

6 : 10 = 3 : 5 ≠ 2 : 3

5 : 6 = (doesn't simplify evenly) ≠ 2 : 3

9 : 15 = 3 : 5 ≠ 2 : 3

12 : 18 = 2 : 3 = 2 : 3

find their highest common factor and divide both the numbers by the same amount (HCF).

Ex.

12 : 18

12 ÷ 6 = 2

18 ÷ 6 = 3

2 : 3

Answer:

8.227 then rounded to tenth is 8.2

Step-by-step explanation:

just smart.

please rate good. have a good day.

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰x can be found,

[tex]32^{(5-3x)}=2^{-10x}\\\\2^{5(5-3x)}=2^{-10x}\\\\5(5-3x)=-10x\\\\25-15x=-10x\\\\25=-10x+15x\\\\25=5x\\\\x=5[/tex]

Hence, the value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

the measure of the radius is 2.9

Answer:

7x - 10 < 11

Step-by-step explanation:

B

Answer: One solution

Step-by-step explanation:

6x-2=3x+7

3x-9

x=3

a) losing value is exponential decay.

b) Initial value is the price you paid = $1,200

c) decay factor is 100% - the percent lost per year = 90%

d) value = starting value x decay factor^ time

 f(x) = 1200 x 0.90^x

e) replace x with 3 then 8 and solve:

f(3) = 1200 x 0.90^3 = 874.80

after 3 years it is worth $874.80

f(8) = 1200 x 0.90^8 = 516.56

after 8 years it is worth $516.56

Answer:

50.24

-

And, you're not bad at math! You goot this correct! :)

Step-by-step explanation:

c=25.12

we can use this to find the raidus!

-

plug it back into the circumference formula first.

c=(pi)(d)

25.12=3.14*d

divide both sides by 3.14!

d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!

-

now we plug it into the area of a circle formula.

π · r2

3.14 * 4^2

3.14*16

50.24

Hey! there

Answer:

Step-by-step explanation:

In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .

And we are asked to evaluate the expression .

SOLUTION : -

Expression :

[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]

We are substituting value of n as 7 :

[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]

Solving parenthesis that is subtracting 5 from 7 :

[tex] \quad \longmapsto \qquad \:5(2)[/tex]

Now we are multiplying 5 with 2 and We get :

[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]

Step-by-step explanation:

Answer:

10 is the answer

Step-by-step explanation:

In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .

And we are asked to evaluate the expression .

SOLUTION : -

Expression :

[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]

We are substituting value of n as 7 :

[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]

Solving parenthesis that is subtracting 5 from 7 :

[tex] \quad \longmapsto \qquad \:5(2)[/tex]

Now we are multiplying 5 with 2 and We get :

[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]

Henceforth , value of expression when n is equal to 7 is 10

The height attained by the submarine in the sea will be 80 meters.

Height is a vertical distance travelled by any object. Here the submarine is going down in the sea from 15 meters to 95 meters below the sea.

So the height attained by the submarine will be:-

H= 95-15

H= 80 meters.

Therefore the height attained by the submarine in the sea will be 80 meters.

To know more about height follow

https://brainly.com/question/1739912

#SPJ1

Answer:

X=80

Step-by-step explanation:

Angle OAB=50(Properties of isosceles traingle)

X+50+50=180(sum of the interior angles of the traingle)

X=180-100

X=80

The simplification of √75+ √48 -2√675 is -21√3.

Surds are irrational numbers.

To simplify the surd in the question above, we use the addition and subtraction of surds.

Two or more surds can be added or subtracted if they are in the same basic form.

E.g

Using the above example,

Given:

Express the surds to the same basic form

Hence, the simplification of √75+ √48 -2√675 is -21√3.

Learn more about surds here: https://brainly.com/question/18070276

#SPJ1

Answer:

see below

Step-by-step explanation:

start with cos (x)

  amplitude 4

      4 cos x

      midline 2

          4 cos (x )    + 2

        period of 1   :      2 pi / 1 = 2 pi   

                multiply x   by 2pi

                        4 cos ( 2 pi x)  + 2

Answer:

circumference formula = πd or 2πr .. they are the same thing

G is the answer

Answer:

1. Proportion

2. Not Proportion

3. Proportion

4. Proportion

5. Proportion

Step-by-step explanation:

Hope it helps you :))))))

Have a good day

Answer:

165 divided by 11 = 15

154 divided by 14 = 11

306 divided by 17 = 18

322 divided by 14 = 23

The volume of the water that was displaced will be 0.06 cubic feet.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

mass = density × volume

If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water.

Then the volume of the water that was displaced will be

We know that the density of the water is 62.4 pounds per cubic foot.

Then we have

3.7 = 62.4 × volume

Volume = 0.059

Volume ≅ 0.06 cubic-foot

To learn more about the density refer to the link;

brainly.com/question/952755

#SPJ1

Answer:

The width of the rectangle is 91 cm

Step-by-step explanation:

61 × 2 = 122

304 - 122 = 182

182 ÷ 2 = 91

Answer:

91 cm

Step-by-step explanation:

61 x 2 (because there are 2 sides with length 61) = 122
304 - 122 = 182
182 / 2 = 91

Answer:

NO

Step-by-step explanation:

For it to be a right triangle, 14 should be 13.6

8, 11, 13.6 is a right triangle

Using the t-distribution, it is found that the desired measures are given as follows:

At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:

[tex]H_0: \mu = 3.3[/tex]

At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:

[tex]H_1: \mu \neq 3.3[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 3.33, \mu = 3.3, s = 0.08, n = 55[/tex]

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.33 - 3.3}{\frac{0.08}{\sqrt{55}}}[/tex]

t = 2.78.

We are testing if the mean is different of a value, hence we have a two-tailed test. Using a t-distribution calculator, with 55 - 1 = 54 df and t = 2.78, the p-value is of 0.01.

More can be learned about the t-distribution at https://brainly.com/question/16162795

#SPJ1