1. Find a counterexample.

If two angles are complementary, then they are not congruent.

Answer:

it will be 4

Step-by-step explanation:

-18 +3(5x-2)+8=46

-18 + 15x-6 +8 = 46

-18 + 15x +2 =46

-16 +15x =46

15x = 62

x = 62/15 = 4.1333

The width of the pasture is 210 feet.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that pasture is twice as long as it is wide. its area is 88,200 ft2.

If the width is w and the length is l, then the length is 2w=l.

In addition,

The area of the rectangle = length × Width

l x w=88200

Using the area formula, Plugging 2w in for l, we get ;

2w x w = 88200

88200= 2w².

Now Dividing both sides by 2, we get;

w²=44100

w= √(44100)

w =210.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

18% + 8.5% = 26.5% which is close to 25%

 25% of 40 is 10, 40 +10 = 50

so the total bill would be just over $50

real cost:

40*0.085 = 3.40 = 40 + 3.40 = 43.40

43.40 *0.18 = 7.81, 43.40 + 7.81 = 51.21

Answer:

The gratuity is about 20% of $40, which is $8. The tax is about 10% of $40, which is $4. So, the total cost is about $40 + $8 + $4 = $52.

Answer:

The intensity was [tex]5.02377\times 10^{18}[/tex]

Step-by-step explanation:

We are given

An earthquake registered 7.4 on the Richter scale

so, RC=7.4

the reference intensity of this quake was 2.0 × 10^11

so,

[tex]I_r=2.0\times 10^{11}[/tex]

now, we can use formula

[tex]RS=log(\frac{I}{I_r} )[/tex]

now, we can plug values

[tex]7.4=log(\frac{I}{2.0\times 10^{11}} )[/tex]

now, we can solve for I

[tex]10^{7.4}=\frac{I}{2.0\times 10^{11}}[/tex]

[tex]I=10^{7.4}\times 2.0\times 10^{11}[/tex]

[tex]I=5.02377\times 10^{18}[/tex]

To find the intensity of an earthquake registered on the Richter scale, use the formula based on the magnitude difference and energy ratio.

The intensity of the earthquake can be calculated using the Richter scale formula, which relates the magnitude difference to the energy ratio.

Answer:

the answer is 1/2

i think

Step-by-step explanation:

Answer:

Bean plant grew faster .

Step-by-step explanation:

As given

Plants A birch tree grew 2.5 inches in five months.

i.e 2.5 inches = 5 months

Now calculate birch tree in one month .

[tex]Birch\ tree\ grew\ in\ one\ month = \frac{2.5}{5}[/tex]

                                                               = 0.5 inches

As given

A bean plant grew 8 inches in 10 months.

i.e 8 inches = 10 months

Now calculate bean plant in one month .

[tex]Bean\ plant\ grew\ in\ one\ month = \frac{8}{10}[/tex]

                                                                = 0.8 inches

As given

It rosebush grew 5 inches in eight months.

i.e 5 inches = 8 months

Now calculate rosebush in one month .

[tex]Bean\ rosebush\ in\ one\ month = \frac{5}{8}[/tex]

                                                                = 0.63 inches (Approx)

Therefore Bean plant grew faster .

Answer:

f(x) = sqrt(x-5) Domain: all real numbers greater or equal to 5 f(x) = 7/(x-8) Domain: all real numbers except 8 f(x) = sqrt(x) Domain: all positive real numbers and 0 f(x) = 8x Domain: all real numbers The domain of a function is the set of all numbers for which that function is valid.

Step-by-step explanation:

Answer:

Option C, Intellectual Response

Step-by-step explanation:

Intellectual response comes after intellectual thinking which includes deep , intensive and focused thinking in a certain direction. In this case, Jose after hearing a song on radio remembers that his brother used to play the same song on guitar. This is an intellectual response as after listening the song Jose's brain must have evaluated the past interactions associated with this song and hence after the evaluation he comes to know that he had heard the same song in past when his brother played it on his guitar.

Thus, option C is correct.

The range of the composition is:

R (-∞, 3)

How to find the range?

We have the functions:

u(x) = -2x² + 3

v(x) = 1/x

The composition gives:

(u o v)(x) = -2*v(x)² + 3

(u o v)(x) = -2(1/x)² + 3

Now, as x tends to infinity, the first term tends to zero (because the denominator is to large) then the function has an upper bound at 3.

Then as x decreases, the function decreases, when x tends to zero, the function tends to negative infinity.

So the range is:

R (-∞, 3)

The other two zeros, which are x = 5 and x = -4.

To find the zeros of the polynomial f(x) = x³ − x² − 20x, we need to set the polynomial equal to zero and solve for x. This can be done by factoring out the common term x from each term of the polynomial:

f(x) = x(x² - x - 20) = 0

The zeros of the polynomial will be the values of x for which the product is zero. Since we already have x as one factor, one zero is x = 0. We then need to factor the quadratic, which is:

x² - x - 20

We can factor this quadratic to

(x - 5)(x + 4)

Thus, the other two zeros of the polynomial are x = 5 and x = -4.