the cost of a popular toy is $19.99 , Due to a limited supply , the store manager marks the price of the toy up by 15%. what is the new price ? HURRY PLEASE .

Answer:

y=113*(1+0.82)^x

x=7

y=113*(1.82)^7=7474.43

Question 10

Draw a 30-60-90 triangle template. Refer to the diagram below.

We have 1 as the short leg, 2 as the hypotenuse and sqrt(3) as the long leg.

Place the angle theta as the reference angle such that it's opposite the sqrt(3) side.

That allows tan(theta) = sqrt(3)/1 = opposite/adjacent

In other words, tan(60) = sqrt(3)/1

So theta = 60 is one solution. We add on 180 to get the other solution. So the other solution is 60+180 = 240

So tan(60) = tan(240) = sqrt(3)

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

Question 11a

sin(theta) = -0.8

theta = arcsin(-0.8) or theta = 180-arcsin(-0.8)

theta = -53.1301  or theta = 180 - (-53.1301)

theta = -53.1301  or theta = 233.1301

Add 360 to the first angle to find a coterminal angle counterpart.

-53.1301 + 360 = 306.8699

So the two approximate solutions are

theta = 306.8699  or theta = 233.1301

and those round to 306.9 and 233.1 respectively.

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

Question 11b

cot(theta) = 1.8

tan(theta) = 1/(1.8)

theta = arctan( 1/(1.8) )  or theta = 180+arctan( 1/(1.8) )

theta =  29.0546 or theta = 180+29.0546

theta = 29.0546 or theta = 209.0546

theta = 29.1 or theta = 209.1

You want to try and get rid of one of the variables ( x or y) so you would multiply the second equation by 2 which would make the x variable -2x which then when added to the first equation would eliminate the x variable.

Answer: c. Multiply the second equation by 2.

Answer:

Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.

Step-by-step explanation:

Answer:

Mathematics is like the study of numbers and relationships I guess.

Step-by-step explanation:

All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.

Basic Arthimetics seems to use ratios when counting, or patterns, ect.

Answer:

try D

Step-by-step explanation:

Answer:

Confidence Interval - "P" values  

(0.4433 , 0.5444 )

~~~~~~~~~~~~~~~~~~~~~~~

[tex]\mathrm{Expand\:}\left(x+4y\right)^3:\quad x^3+12x^2y+48xy^2+64y^3[/tex]

in you image it is the last on "D"

Step-by-step explanation:

Confidence Level - "P" values  

99% 2.58

Confidence Interval - "P" values  

(0.4433 , 0.5444 )  

Answer:

4

Step-by-step explanation:

-2/5 x* 5y * -2x

Multiply the coefficients

-2/5 * 5*-2

-2*-2 *1/5*5

4

Answer:

d

Step-by-step explanation:

Quantity of paint used = (2/3) of (1/2)

      [tex]=\frac{2}{3}*\frac{1}{2}\\\\=\frac{1}{3}[/tex]

Quantity left in the can = [tex]\frac{1}{2}-\frac{1}{3}[/tex]

   [tex]= \frac{1*3}{2*3}-\frac{1*2}{3*2}\\\\=\frac{3}{6}-\frac{2}{6}\\\\=\frac{1}{6}[/tex]

Answer:

30 lamps

Step-by-step explanation:

30*2= 60

The maximum value of n (A ∩ B) occurs when A ⊂ B (i.e. when A is a subset of B), in which case A ∩ B = A, and so max{n (A ∩ B)} = n (A) = 11.

Answer:

264 Km²

Step-by-step explanation:

cross sectional perimeter of the triangular prism= 9+8+7= 24Km

now,

total surface area= C.S.P × height of the figure

= 24 × 11

= 264 km²

Answer:

4, 7, 14

Step-by-step explanation:

Because it's were it decreases

Answer:

the negative just tell you you put a one over the number. Once that's done, the power will be positive, and you can square like normal

Are you asking about  [tex]7^{-2}[/tex]  ?

If so:

A negative in the exponent tells us that we must take the reciprocal of the number, in this case, 7, and then use the exponent like normal:

[tex]7^{-2}[/tex] =

[tex](\frac{1}{7})^{2}[/tex] =

[tex]\frac{1}{49}[/tex],

So our answer is 1/49.

hope it is help full

Step-by-step explanation:

mark me a brainlist

Answer:

C x=8

Step-by-step explanation:

Chúc bạn ngày mới tốt lành

the answer Is found in the question

The least number of buses required for the trip will be 5 buses.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Total number of classes = 9

Number of students in each class = 25

Number of teachers = 4

Number of chaperones = Double of teacher

Bus hold = 45 people

A total number of students.

= 9 × 25

= 225

A number of chaperones.

= 4 × 2

= 8

Total people = 225 + 8 + 4 = 237

Least number of buses required for trip = Total people / Bus hold

= 237 / 45

= 5.266

Learn more about the unitary method here:

brainly.com/question/22056199

#SPJ2

Answer:

4) A

5) E

Step-by-step explanation:

#4

[tex]\frac{x}{y}=\frac{1}{10} * \frac{z}{y}[/tex]

[tex]\frac{x}{y} =\frac{1z}{10y}[/tex]

Cross multiply the equation and you get:

[tex]10xy=zy[/tex]

Since [tex]\frac{a}{b}=\frac{c}{d}[/tex]  is the same thing as [tex]ad=bc[/tex], you can change the equation into [tex]\frac{x}{z} =\frac{y}{10y}[/tex]

Cancel out the y on the top and bottom and you get 1/10

#5

[tex]\frac{2}{3} *\frac{x}{2} =5[/tex], simplify and you get [tex]\frac{x}{3} =5[/tex] so x=15

[tex]\frac{1}{5} * 3(x)[/tex] is equal to [tex]\frac{1}{5} *3(15)[/tex] after you plug in x, and that is equal to 9

Answer:

a = 64

Step-by-step explanation:

The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{28a}[/tex] = 16[tex]\sqrt{7}[/tex] ( square both sides )

28a = (16[tex]\sqrt{7}[/tex] )² = 1792 ( divide both sides by 28 )

a = 64

Answer:

a = 64

Step-by-step explanation:

The geometric mean for two numbers is given by :

GM = sqrt(ab)

16 sqrt(7) = sqrt(a*28)

Square each side

(16 sqrt(7))^2 = (sqrt(a*28))^2

256*7 = 28a

1792 = 28a

Divide each side by 28

1792/28 = 28a/28

64 = a

Answer:

filtration system is not working

filtration

Answer:

let x be the complementary angle

then x + 2 is the angle

x+2 +x =90

2x = 88

x = 44°

x + 2° = 46°

Answer:

Rectangular pyramid volume: 8×9×9/3 = 216 cm³

Rectangular prism volume: 8×9×7 = 504 cm³

Total volume of composite figure: 216+504 = 720 cm³

Answer:

720 cm³

Step-by-step explanation:

Rectangular pyramid:

Volume = [tex]\frac{1}{3}BH[/tex]

H = 9 cm

B-> base area =  area of rectangle

B = length * width = 8*9 = 72  square cm

[tex]Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}[/tex]

Rectangular prism:

length = l = 8 cm

Width = w = 9 cm

Height = h = 7 cm

Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³

Volume of composite figure = volume of pyramid + volume of r. prism

      = 216 + 504

      = 720 cm³

Answer:

53640

Step-by-step explanation:

Answer:

hypotenuse = 13

shortest side = 5

third side = 12

Step-by-step explanation:

Given sides a, b, and c, with c representing the hypotenuse of a right triangle, we can say that

a²+b² = c² using the Pythagorean Theorem.

We are given that the hypotenuse (c) = 8 cm more than the shortest side. Representing the shortest side as a, we can say that c= 8 + a. Then, the third side, which we can represent as b, is 1cm shorter than the hypotenuse, so c-1 = b

c= 8+a

c-1 = b

a²+b² = c²

One thing we can do is to solve for everything in terms of c and solve the third equation from there

c= 8+a

subtract 8 from both sides

c-8 = a

a²+b² = c²

(c-8)²+b² =c²

b = c-1

(c-8)² + (c-1)² = c²

expand

c²-16c + 64 + c² - 2c + 1 = c²

2c² - 18c + 65 = c²

subtract c² from both sides to make this an equation that we can more easily solve

c² - 18c + 65 = 0

To factor, we can find two numbers that add to (-18) and multiply to 65. Two numbers that work at 13 and 5, so we have

c²-13c-5c + 65 = 0

c(c-13) -5(c-13) = 0

(c-5)(c-13) = 0

Therefore, the hypotenuse, or c, is 5 or 13. Because a=c-8, if c=5, a would be negative 3. This is not possible, so c cannot be 5. Therefore, c=13, a=c-8=5, and b=c-1= 12

Answer:

Step-by-step explanation:

r = 12 cm

Theta = 62

Length of arc = [tex]\frac{theta}{360}*(2\pi r)[/tex]

                      [tex]=\frac{62}{360}*2*3.14*12[/tex]

                      = 12.98 cm

Answer:

The equation would be y=m-2+6

Step-by-step explanation:

Have a great day :)

Answer:

  x = 3

Step-by-step explanation:

A vertical line has undefined slope. Its equation is of the form x=c, for some constant c.

To make sure the line passes through a point with an x-coordinate of 3, the constant in the equation must be 3:

  x = 3 . . . . . . vertical line through (3, -7)

Answer:

60

Step-by-step explanation:

A circle is 360 degrees

1/6 of 360

1/6 * 360 = 60

Answer:

biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.

Answer:

yes because the graph passes the vertical line test