What is the equation for direct variation?

Answer:

Yes

Step-by-step explanation:

If a triangle follows the Pythagorean theorem, then it is right. The Pythagorean theorem states the following,

[tex]a^2 + b^2 = c^2[/tex]

Where (a) and (b) are the legs or sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse, side opposite the right angle, the longest side.

Substitute in the given values and solve,

[tex](6)^2 + (8)^2 = (10)^2\\\\36 + 64 = 100\\\\100 = 100[/tex]

The given side lengths form a right triangle.

Step-by-step explanation:

start at -1 as your starting point then go down one over 2

Answer:

107.50

Step-by-step explanation:

107.50 times 40 percent is 43

Answer: the answer is 107.5

Step-by-step explanation:

use

is/of = %/100 the / are fraction

Answer: The percent of red lights last between  2.5 and 3.5 minutes = 95.44% approx.

Step-by-step explanation:

Given: Mean time = 3 minutes

standard deviation = 0.25 minutes

The probability of red lights last between  2.5 and 3.5 minutes :-

[tex]P(2.5<x<3.5)\\\\=P(\dfrac{2.5-3}{0.25}<\dfrac{x-\mu}{\sigma}<\dfrac{3.5-3}{0.25})\\\\=P(-2<z<2)\\\\=2P(Z<2)-1\\\\=2(0.9772)-1\\\\=0.9544[/tex]

The percent of red lights last between  2.5 and 3.5 minutes = 95.44% approx.

Answer:

A deposit of 215$ and a withdraw of 215$

Step-by-step explanation:

The deposit amount is equalized and removed by the withdraw value.

Answer:

x = 1

y = 2

Step-by-step explanation:

substitution method:

y = x+1

2(x+1) = 5 - x

2x + 2 = 5 - x

3x = 3

x = 1

find 'y':

y = 1+1

y = 2

Answer:

10% of espressos sold are single shot espressos.

Step-by-step explanation:

Single shot espressos, as percentage of total espressos sold =

[ Single espressos / Total ( ie Single + Double shot) ] x 100

[ 2 / (2 + 18) ] x 100

(2 / 20) x 100

= 10%

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]

Plug in the values and simplify:

[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]

Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ2

Answer:

3.2%

Step-by-step explanation:

The computation of the annual rate of interest is shown below:

As we know that

Simple interest = Principal × rate of interest × time period

($1,857.60 - $1,800)  = $1,800 × rate of interest × 1

$57.60 = $1,800 × rate of interest × 1

So, the rate  of interest is

= $57.60 ÷ $1,800 × 100

= 3.2%

Hence, the rate of interest on annual basis is 3.2%

Answer:

x < - 3

Step-by-step explanation:

Given the inequality :

-3x + 6 < 15

Collect like terms :

-3x < 15 - 6

-3x < 9

Divide both sides by - 3

-3x / 3 < 9/3

x < - 3 (sign changes as we have divides by a negative)

Step-by-step explanation:

c²=a²+b²

b²=c²-a²

b²=10²-9²

b²=100-81

b²=19

b=✓19

b=4,35

Answer:

9103.71828183

Step-by-step explanation:

9103.71828183=200+5-4+e+9000+100-200

Answer:

8 1/2

Step-by-step explanation:

2 1/2 + 2 1/3 + 3 2/3

= 2 3/6 + 2 2/6 + 3 4/6

= 7 9/6

= 8 3/6

= 8 1/2

Correct Answer is on the attached image

Answer:

The coefficient of the second tern in the expression , 4+ 5c, is 5

Step-by-step explanation:

Second term: 5c

C is a variable,therefore, making 5 the coeffiecient.

Step-by-step explanation:

304

plug 4 in for x

3(4)^2 + 4(4)^3 = 304

48 + 256 = 304

Answer:

d. 4/5

Step-by-step explanation:

=13+18-3

=31-3

=28

the answer is 28

Answer:

28

Step-by-step explanation:

According to Order of Operations rules, we must multiply here before adding or subtracting.

In 7 +6 - 9(-2) + (-3) the very first thing we must do is to evaluate the product -9(-2).  This comes out to 18, so now we have:

7+6 + 18 +(-3).

Next, remove the remaining parentheses, obtaining:

7 + 6 + 18 - 3, or

  13    +    15              =     28

Answer:

x = 8

Step-by-step explanation:

16 is the same as 2^4

(2^4)³ = 2^3/2x

2^12 = 2^3/2x

as long as bases are both the same then set exponents equal

12 = [tex]\frac{3}{2}[/tex]x

3x = 24

x = 8

It's D, 15!/(15 - 5)! .

15! is the number of ways of permuting 15 objects. In other words, if you have 15 open positions,

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

from the 15 total objects you can pick, there are 15 choices for the first position, 14 for the second, 13 for the third, and so on, so that there is a total of

15 * 14 * 13 * … * 2 * 1 = 15!

possible arrangements.

But you're taking 5 objects at a time, so we only have 5 positions to fill:

_ _ _ _ _

and there are 15 choices for the first position, 14 for the second, 13 for the third, 12 for the fourth, and 11 for the fifth, so the total number of arrangements is

15 * 14 * 13 * 12 * 11 = 15!/10! = 15!/(15 - 5)!

Answer:

203 + b = 253

Hope this helps!

Answer:

A 5873.814042

B 90%

Step-by-step explanation:

Answer:

The answer that is not true when x = -4 is B.

Step-by-step explanation:

Since x = -4, that means all we have to do to eliminate answers is plug -4 in place of x.

A is incorrect because 2 × -4 = -8, which means that answer IS true and we're looking for the one that isn't true.

Same with C, -4 + -4 + -4 added together gives you -12 = -12, therefore isn't the right choice.

Finally D. -4/4 divided equals -1, so that would make it -1 = -1.

B is the only one that doesn't make sense, therefore you have your answer.

Answer:

1/6 cause there is a 1 in 6 chance each time you roll the die

Step-by-step explanation:

Answer:

[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)

Step-by-step explanation:

Reference angle = θ

Opposite side = 16 (length of the side opposite the reference angle)

Hypotenuse = 44

Apply trigonometric function SOH:

[tex] sin(\theta) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(\theta) = \frac{16}{44} [/tex]

[tex] \theta) = sin^{-1}(\frac{16}{44}) [/tex]

[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)

Answer:

the answer for this question is C.270