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Answer:

If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y

∴ $1*(x*1) + $2*(y*1) = $13

Step-by-step explanation:

1) You can buy 4 brownies for $2 each = 2*4 = $8

The rest you can buy cookies = 5 cookies = $5

$8+$5=$13

2) You can buy 5 brownies and 3 cookies = $10+$3 = $13

3) You can buy 3 brownies and 7 cookies = $6+$7=$13

Equation: -

If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y

∴ $1*(x*1) + $2*(y*1) = $13

Answer:

The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]

Step-by-step explanation:

Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.

To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?

Proof -

From the given information, the figure becomes

Triangle ABC and Triangle DBE are similar triangle

AC/DE = BC/BE

⇒h/6 = 200/(200-x)

⇒h = 1200/(200 -x)

Now,

Differentiate h with respect to t, we get

[tex]\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}[/tex]

⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}[/tex]

Now,

If the rate of the tip is moving down the wall

At x = 50 feet, dx/dt = 30 feet per second

So,

⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{24}{15 }[/tex]

So, we get

The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]

Answer:

first spot 10, second 16, third 18, fourth 22

Answer:

The expression that represents the table is

y=4+2x

when x=3

y=4+2(3) = 10

When x=6

y=4+2(6)= 16.

Do this for all the values of x and you'll get the corresponding value for y

10

16

18

22.

Your answer would be

Answer:

Trapezoid. Big to small = 3:1

Square. Enlargement

Step-by-step explanation:

base 1 of trapezoids respectively big to small are 6:2 or 3:2

The purple shape is an enlarged form of the black square.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

over time pay would be $24.30/hr

16.20 +(1/2 16.20) = 24.30

Answer:

Step-by-step explanation:

area of circle=π[tex]r^{2}[/tex]

=22/7*[tex]21^{2}[/tex]

=22/7*441

=9702/7

=1386 [tex]cm^{2}[/tex]

Answer:

1386cm sq

Step-by-step explanation:

formula to find area of circle is 22/7*radius sq

which is 22/7 * 21 * 21

= 22 * 3 * 21

= 1386

Hope this is helpful. Please mark brainliest....

Step-by-step explanation:

7equitacion h< y ⚽ de los siguientes dominios

Answer:

700

Hope this helps!!

Answer:

700

Step-by-step explanation:

Answer:

g. True

h. False

i. False

Step-by-step explanation:

g.

[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]

This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]

If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]

The numerator is 1 * 1 which is 1

And then the denominator is 7 * 2 which is 14

That would give you [tex]\frac{1}{14}[/tex]

h.

The products of two reciprocals is 0

This is not true

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.

Ex: [tex]\frac{2}{8}[/tex]

Its reciprocal is [tex]\frac{8}{2}[/tex]

So multiply them together

[tex]\frac{2}{8}* \frac{8}{2}[/tex]

2 * 8 = 16

8 * 2 = 16

[tex]\frac{16}{16} = 1[/tex]

i.

A whole number does not have a reciprocal

This is incorrect. If you think about it, a whole number is just the number, over 1

Ex: [tex]\frac{6}{1}[/tex]

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be [tex]\frac{1}{6}[/tex]

I hope this helps, don't be afraid to reach out with any further questions!

Answer:

T, F, F

Step-by-step explanation:

№3

[tex]\sin C = \frac{AB}{AC} = \frac{27}{45} = \frac{3 * 9}{5 * 9} = \frac{3}{5}[/tex]

Answer: D (3/5).

№4

[tex]\cos A = \frac{AB}{AC} = \frac{24}{30} = \frac{3 * 4 * 2}{3 * 5 * 2} = \frac{4}{5}[/tex]

Answer: C (4/5).

№5

[tex]\tan C = \frac{AB}{BC} = \frac{32}{24} = \frac{2 * 2 * 2 * 4}{2 * 2 * 2 * 3} = \frac{4}{3}[/tex]

Answer: D (4/3).

Answer:

3.) Sin C = option D, [tex]\frac{3}{5}[/tex]

4.) Cos A = option C, [tex]\frac{4}{5}[/tex]

5.) Tan C = Option D, [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

3.) Sin C = [tex]\frac{opposite}{hypotenuse} = \frac{27}{45} = \frac{3}{5}[/tex]

4.) Cos A = [tex]\frac{adjacent}{hypotenuse} = \frac{24}{30} = \frac{4}{5}[/tex]

5.) Tan C = [tex]\frac{opposite}{adjacent} = \frac{32}{24} = \frac{4}{3}[/tex]

Hope this helps!

Answer:

[tex]\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]

Answer:

That would be (8,0) my good sir ( ma'am )

Step-by-step explanation:

Have a nice day

Answer:

Goodness of fit

Step-by-step explanation:

Given

The theoretical probabilities

See comment for complete question

Required

The type of test to be use

From the question, we understand that you are to test if the die is loaded or not using the given theoretical probabilities.

This test can be carried out using goodness of fit test because the goodness of fit is basically used to check the possibility of getting the outcome variable from a distribution. In this case, the outcome of the variables are the given theoretical probabilities.

In a nutshell, the goodness fit of test determines if the given data (in this case, the theoretical probabilities) is a reflection of what to expect in the original population.

Answer:

A) 24 ( 4*6)

B) 15 ( 75%of 80 is 60...

60÷4 is 15)

Answer:

The answer is 30%

Step-by-step explanation:

4 times 6=24

24 divided by 80 times 100 is 30

(That's also how to find your percentage on a test)

Answer: 2x+8=12, 5x+4=29

Step-by-step explanation:

2x2=4+8=12

5x5=25+4=29

Answer:

Base, b = 4.5 yards

Step-by-step explanation:

Given the following data;

Area of triangle = 45 square yards

Height = 20 yards

To find the base of the triangle;

Mathematically, the area of a triangle is given by the formula;

Area of triangle = ½ * b * h

Where;

b is the base of the triangle.

h is the height of the triangle.

45 = ½ * b * 20

90 = 20b

Base, b = 90/20

Base, b = 4.5 yards

Answer:

47.12

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

the number would simply be

14÷2=7

7²=49

Answer:

72 in²

Step-by-step explanation:

lateral area: the surface area of a 3D figure, but excluding the area of any bases

the lateral area of this prism is the sum of the three rectangular sides.

calculate the third side of the triangle first because it's also the side of one of the rectangle:

√(5² - 4²) = 3

4 × 6 + 5 × 6 + 3 × 6 = 72

Answer:

140%

Step-by-step explanation:

If G is the incenter of ∆ABC, then GD = GF = GE.

Given, GD is 3x + 5 and GF is 6x - 4.

According to the above statement,

GD = GF

or, 3x + 5 = 6x - 4

or, 5 + 4 = 6x - 3x

or, 9 = 3x

or, 9/3 = x

or, 3 = x

The value of x is 3.

By putting the value of x in GD or GF, we get

GD = 3(3) + 5 = 9 + 5 = 14

GF = 6(3) - 4 = 18 - 4 = 14

Therefore, GE = 14.

Answer:

179,604

Step-by-step explanation:

MARK ME BRAINLIST

Answer:

It will cost the company $179,604.

Step-by-step explanation:

Multiply the cost of 1 car by the number of cars needed:

19,956 × 9

179,604

Answer:

60°

Step-by-step explanation:

If it a equilateral triangle

Answer:

6+8

Step-by-step explanation:

Answer:

6x-8=5x+14

x=22

this is the solution

(6x-8)°=(5x+14)°

_ _ _ _ _ +14= _ _ _ _ _ _-8= x=14+8=22°

(6×22-8)°=124°

(5×22+14)=124°