solve the equation on the interval [0, 2π).
3(sec x)^2 -4=0

Answer:

1) 6 balls

Step-by-step explanation:

x = number of balls Elsa can shoot

x + 6 = number of balls Anna can shoot

18 = number of balls together they can shoot

x + (x + 6) = 18

x + x + 6 = 18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 6

2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.

3)Let x & y be packets of [a] type & [b] type detergent sold

Then 9x +7y =180

Let us say x=7

Then 9*7+7y =180

7y =180–63 = 117

y =117/7=19.2 this will not do as it contains decimal not whole number

Say x=6

Then 9*6 +7y =180

7y=180–54 =126

y =126/7 =18 this is acceptable as it is whole number

Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php

4) 5,6,7 female piglets

5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.

4kg of rice - Php. 360.00

3kg of pork- Php. 390.00

1kg of rice is Php. 90.00

1kg of pork is Php. 130.00

Refer to attachment for solution ~

Sorry for late, I didn't have time for it !

Answer:

3 3/8 hours

Step-by-step explanation:

Add 1 3/4 and 1 5/8 = 27/8 = 3 3/8

Answer:

17 units

Step-by-step explanation:

Because the triangle is isosceles, 2 of its sides are congruent; namely, the two sides that are opposite of the 2 congruent angles are contruent.

Because of the reason stated above, we can see that AC is congruent to BC, meaning that:

x+9=2x-8

-x      -x

9=x-8

+8  +8

17  = x

Notice that BC is equal to x, so 17 is our final answer.

Answer:

Step-by-step explanation:

x=rcosθ=4 cos (-40)=4 cos 40≈3.064

y=r sin θ=4 sin (-40)=-4 sin 40≈-2.571

the vector is (3.064,-2.571)

x = 1/2

(8x-3) / x = 1 / (1/2) -> 1 x 2 = 2

So, when x = 1/2, (8x-3)/x = 2.

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

2/3

Step-by-step explanation:

I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!

Answer:

Its 27

Step-by-step explanation:

Answer:

X = -2.33333

Step-by-step explanation:

5x= 2x -7

3x = -7

X = -2.33333

Answer:

yurrr

Step-by-step explanation:

x= -7/3

Answer:

Step-by-step explanation:

v = l * w * h

v = x * 22 * 28

v = 616x

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.

Check all the options in order to determine the given polynomial is prime or not.

A) [tex]x^4+3x^2-x^2-3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

For more information, refer to the link given below:

https://brainly.com/question/17822016

Answer:

Step-by-step explanation:

If the volume of a cube is 64 cubic inches, Possible Answers: 2 in. 4 in. 9 in. 6 in. 8 in.

last option in the picture

Answer:

1/4 or .25

Step-by-step explanation:

You cross multiply which would give you 4x=1.

The solution of the given equation is (3,6). The correct option is B.(3,6)

[tex]y=x+3.......(1)\\4x+y=18.....(2)[/tex]

putting the value of y from equation (1) in equation (2) , we get

[tex]4x+x+3=18\\[/tex][tex]5x=18-3\\5x=15\\x=3[/tex]

substitute the value of x=3 in equation (1) we get,

[tex]y=3+3\\y=6[/tex]

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

https://brainly.com/question/12895249

Answer: D: (-∞, ∞)

               R: (-∞, ∞)

Step-by-step explanation:

Since the end points are arrows and have no set stopping point we can assume the answer is all real numbers, also known as infinity

Answer:

For A1-4 I am pretty sure the answers are: Question 1.) 3/1 (or 3)  Question 2.) -6/6 (also can be written as -1) Question 3.) 9/5  and Question 4.) -4/3

Step-by-step explanation:

For Question 1 you just rise 3 and run 1 which gets you 3/1

For Question 2, to get from coordinate 2 to 8 you add 6, and to get from coordinate -10 to -16 you subtract 6. This leaves you with -6/6 (or -1)

For Question 3, the slope is written within the equation (y=9/5x-5) the 9/5 is the slope.

For Question 4, you take 4x+3y=6 and turn it into y=mx+b form, to do so you subtract 4x on both sides leaving you with 3y=-4x+6. Then you divide 3 on both sides, y=-4x/3 + 6/3. Then the result would be y=-4/3x+2 which means that the slope is -4/3.

I am not sure if these are all correct, but i hope it helps! :)

Step-by-step explanation:

she is the only sales agent selling cars after totaling them ... :-)

she makes 12% commission on the amount of sales beyond $50,000.

so, total sales was $115,000.

the base for her commission is then

115,000 - 50,000 = $65,000

she gets 12% of these $65,000.

100% = $65,000

1% = 100%/100 = 65,000/100 = $650.

12% = 1%×12 = 650 × 12 = $7,800

so, C is the right answer.

[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]

[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]

[tex]10x - 3x = 42[/tex]

[tex]7x = 42[/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]

[tex]x = 6[/tex]

Answer:

1 decilitre  

Step-by-step explanation:

You can look up charts for these. Look up litre chart

The best answer to your question is gonna be low risk low return.

Answer:

The answer is located in the image below.

Answer:

Larger angle: 104 degrees

Smaller angle: 76 degrees

Step-by-step explanation:

(9x+5) + (6x+10) = 180

x = 11

Answer:

[tex]3(5x + 4) = 3 \times 5x + 3 \times 4 \\ = 15x + 12 [/tex]

Answer:

15x+12

Step-by-step explanation:multiply 5x + 4 by 3 hence answer is 15x +12

Answer:

-71

Step-by-step explanation:

let 'n' = a number

2(143 + 2n) = 0n + 2

2(143 + 2n) = 2

143 + 2n = 1

2n = -142

n = -71

Answer:

209259

Step-by-step explanation:

45200 / 21.6 = 209259.259259

209259.259259 rounded to nearest whole number = 209259

Answer:

50

Step-by-step explanation: