Cos x + square root 3 = -cos x

Answer:

[tex]x=\frac{5}{k}[/tex]

Step-by-step explanation:

Given expression is,

[tex]\text{log}_{3^k}243=x[/tex]

By using the law of logarithm,

[tex](3^k)^x=243[/tex]

[tex]3^{kx}=243[/tex]

[tex]3^{kx}=3^5[/tex]

By comparing exponents on both the sides of the equation,

[tex]kx=5[/tex]

[tex]x=\frac{5}{k}[/tex]

Therefore, [tex]x=\frac{5}{k}[/tex] will be the answer.

Answer:

Simplifed:

[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3}}[/tex]

[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3} } \\ \frac{216 - 567 -288 }{ { - 7}^{3} + {7}^{3} } \\ \frac{ - 639}{0} [/tex]

infinity

Answer:

Yes

Step-by-step explanation:

Since Lucia was not able to see which shirt she was picking, ( i think), this would be random.

6(3x + 7)

X = 2

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Answer:

18x+42

Step-by-step explanation:

Hello, to find an equivalent expression to your problem, you would distribute 6 to 3x+7 (Remember, distribute means multiply). After distributing, you get the answer which is 18x+42.

Answer:

yes its correct

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

Answer:

122.5 cm²

Step-by-step explanation:

a = 21cm

b = 14cm

h = 7cm

Area of given figure(trapezium) = [tex]\frac{a+b}{2} * h[/tex]

= 21 + 14/ 2 * 7

= 35/2 * 7

= 17.5 * 7

= 122.5 cm²

Answer:

Step-by-step explanation:

Remark

The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?

It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).

The ratios are still true, but the angles do not match. So the whole answer is incorrect.

Answer:

27

Step-by-step explanation:

a 76 le quitas la diferencia de 22 y da 54 que lo divides entre 2 y da 27 por lo que 27+27=54+22=76

Answer:

8 students in each van, 22 students in each bus

Step-by-step explanation:

Let's say v is number of students in each van

and b the number of students in each bus.

Let's make the equations:

8v + 8b = 240

4v + 1b = 54

8v + 8b = 240

v + b = 30

b = 30 - v

now let's use b = 30 - v and insert it into 4v + 1b = 54

4v + (30 - v) = 54

3v + 30 = 54

3v = 24

v = 8

b = 30 - v = 30 - 8 = 22

Answer:

1.071

Step-by-step explanation:

[tex] log_{a}(28) \\ \\ = log_{a}(4 \times 7) \\ \\ = log_{a}(4) + log_{a}(7) \\ \\ = 0.379 + 0.692 \\ \\ log_{a}(28)= 1.071[/tex]

Answer:

No u

Step-by-step explanation:

Answer : M{A}=72

This is a triangle, meaning the total degree will be 180.

Answer:

m = 8.2 × 10³ grams

Step-by-step explanation:

Given that,

The weight of a monkey = 8.2 kilograms.

We need to convert its mass from kilograms to grams.

We know that,

1 kg = 1000 grams

or

1 kg = 10³ grams

In 8.2 kg,

8.2 kg = 8.2 × 10³ grams

Hence, the weight of the monkey is equal to 8.2 × 10³ grams.

[tex] - \frac{4 {m}^{2} }{1 + {m}^{4} + {m}^{8} } [/tex]

is your answer

Answer:

jshdgdhdhdhdhdhdhd English project work

Answer:

y = 3

Step-by-step explanation:

     3x + 5y = 33       ---------------(I)

     3x + 4y = 30       ----------------(II)  {subtract  equation (II) from (I)}

    -     -       = -

             1y = 3

y = 3

Answer:The coordinates of point P are -8, -4.

Step-by-step explanation:

Answer:

The coordinate of P is -8, -4

Step-by-step explanation:

Answer:

$637.5

Step-by-step explanation:

Given data

Cost of  merchandise= $750

Discount= 15%

Let us find the amount of the discount

=15/100*750

=0.15*750

=$112.5

Hence the amount paid will be

=750-112.5

=$637.5

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Answer:

5 & 6

Step-by-step explanation:

The nearest two perfect squares are √25 and √36 which are 5 and 6

Answer:

the y intercept

so up 1 from (0,0)

Answer: 6 hours

Step-by-step explanation:

48/6 = 8

36/6 = 6

Answer:

5 in

Step-by-step explanation:

Answer:

10ft.

Step-by-step explanation:

1yd = 3ft.

3yd = 9ft. + 1ft= 10ft.

Answer:

I think the answer is 3.04800

or just 10ft.

Answer:

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Answer:

0.5192

Step-by-step explanation:

Answer:

UwU

Step-by-step explanation:

Answer:

40 gal

Step-by-step explanation:

The capacity of the machine is 140 gallons, and it must be filled.

In a 50% glycol solution, the amount of glycol in 140 gallons of solution is

50% * 140 gallons = 70 gallons.

Once the machine is full with 140 gallons of 50% glycol solution, it will have 70 gallons of glycol.

The machine now has 50 gallons of 60% glycol solution.

60% * 50 gallons = 30 gallons

The machine has now 30 gallons of glycol.

70 gal - 30 gal = 40 gal

You must add another 40 gallons of glycol.

Answer:

[tex]x+3>27\\ x-8>12\\ 7x\leq 14\\ x+15\geq 4[/tex]

Answer:

5:9

Step-by-step explanation:

20÷4=5

36÷4=9

If you divide 20 by 4 you get 5. If you divide 36 by 4 you get 9. You need to be able to divide each number in the ratio by the same number. In this case, that number is 4. You can tell that this ratio (5:9) is in simplest form because 5 is a prime number and cannot be simplified any more.

If you want to check this divide the ratio by 2 two times. Or just divide it by 4 once.

20÷2=10 → 10÷2=5

36÷2=18 → 18÷2=9