what number has an opposite of 18 and an absolute value of 18

Answer:

x < - 4

Step-by-step explanation:

Draw a number line and find -4 then graph it

Answer:

K=4

Y=16

X=4

Step-by-step explanation:

[tex]y = kx {}^{2} \\ finding \: k \: when \: y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2} \\ 36 = 9k \\ dividing \: through \: by \: 9 \\ \frac{36}{9} = \frac{9k}{9} \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2} \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x \\ 64 = 4x \\ dividing \: through \: by \: 4 \\ \frac{64}{4} = \frac{4x {}^{2} }{4} \\ 16 = x {}^{2} \\ square \: root \: bothsides \\ \sqrt{16} = x {}^{2} \\ 4 = x \\ x = 4[/tex]

Recall the double angle identity for cosine:

[tex]\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)[/tex]

It follows that

[tex]\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}[/tex]

Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,

[tex]\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2[/tex]

but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...

Answer:

48pi cm squred

Step-by-step explanation:

first find area of the circle which is pi x r^2

pi x 3^2 = 9pi

Since there are two circles...

9pi x 2 = 18pi

Then find the area of the rectangle that is wrapped around the circle by finding the circumference of the circle and then multiplying that with the height of the cylinder

circumference of the circle = 2 x pi x r

2 x pi x 3 = 6pi

6pi x 5 = 30pi

Therefore the surface area is

48pi cm squred

Hope this helps!

Answer:

P(S ∪ T) = 3/4

Step-by-step explanation:

Given:

For mutually exclusive events S and T,

P(S ∪ T) = P(S) + P(T)

Therefore,

P(S ∪ T) = (5/8) + (1/8)

              = 6/8

              = 3/4

Answer:

62.8 inches

.Step-by-step explanation:

The wire consists of 14 semicircle + 4 3/4 circles. The diameter of each circle = 8 / 4 = 2 inches.Length of a semicircle = 1/2 * pi * diameter and of a 3/4 circle it is 3/4 * pi * diameter.So the perimeter of the wire= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2= 14 * 3.14 + 4 * 3/2 * 3.14= 62.8  inches.

Answer:

62.8 inches

Step-by-step explanation:

= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2

= 14 * 3.14 + 4 * 3/2 * 3.14

= 62.8  inches.

Answer:

150 tablets.

Step-by-step explanation:

20% of 500 is 100, so there was 100 desktop computers. Than, half of the devices were laptop computers, being 250. Than you add 100 and 250 to get 350. Than subtract 350 from 500 and you get 150.

Answer:

141.37 ft^3

Step-by-step explanation:

No question was asked, but based off of the given information, I will assume you want to know the volume of the circular cylinder.

The volume of a circular cylinder is: v=(π)(r^2)(h)

r=3

h=5

v=(π)(3^2)(5)

v = 141.37

Answer:

The answer to each one is 1) 63,100,000,000

2) 2,000,000,000

3) 5,700,000,000

The image of the quadrilateral after the translation is added as an attachment

The given parameter represents the quadrilateral ABCD on the graph.

On this graph, we have the coordinates of ABCD to be:

A = (2, -3)

B = (-1, 3)

C = (-1, -3)

D = (-4, -4)

The translation is given as

2 units to the left and 3 units up.

Mathematically, this can be represented as

(x, y) = (x - 2, y + 3)

So, we have

A' = (0, 0)

B = (-3, 6)

C = (-3, 0)

D = (-6, -1)

Next, we plot the above coordinates on the graph (See attachment)

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Answer:

look at the photo

Step-by-step explanation:

it just is

Answer:

It is a good idea to convert the times into internation time

thus, 5:08 becomes 17 08

Substraction:

17 08 - 10 15

= 16 68 - 10 15 ( I took one hour from 17 and added 60 minutes to 08)

= 6 53

he worked 6 hr 53 mins

Using the given exponential function, it is found that the number of sales in 2001 was of 327,300.

It models the number of sales S in t years after 2001, given by:

[tex]S(t) = 372300\left(\frac{6}{5}\right)^t[/tex]

2001 is year 0, hence the amount is given by S(0), that is:

[tex]S(0) = 372300\left(\frac{6}{5}\right)^0 = 372300[/tex]

The number of sales in 2001 was of 327,300.

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Answer:

20

Step-by-step explanation:

28 + 8 = 36

36 - 13 = 23

23 - 3 = 20

Answer:

-3

Step-by-step explanation:

First, let's remind ourselves the definition of a slope.

Slope = rise/run OR the height from one point to another/ the distance from one point to another.

First, let's find two points on this graph that are marked easily.

One point that can be found is (0, -3) and the other is (0, -1).

Let's apply our formula to these points!

<------- Starting from point (0, -3), we are RISING 3 points and RUNNING -1 points.

Rise         3

-------  =  ----------  

Run           -1

3/-1 = -3

The slope of the line is -3.

Answer:

-3.

Step-by-step explanation:

1) to choose two points on the given line on the graph. For example, A(-2;3) and B(-1;0);

2) to calculate the required slope according to the rule:

[tex]slope=\frac{Y_B-Y_A}{X_B-X_A};[/tex]

3) the required slope:

slope=-3/1=-3.

Step-by-step explanation:

44 ft in 3 seconds

in 1 hour there are 60 minutes with 60 seconds each.

so, 1 hour = 60×60 = 3600 seconds.

in 3600 seconds there are

3600 / 3 = 1200 "packages" of 3 seconds.

so, Jerry would run

1200 × 44 = 52800 ft in 1 hour.

there are 5280 ft in 1 mile.

that means Jerry would run

52800 / 5280 = 10 miles in 1 hour.

Answer:

66.67%

If it wrong! IM SO SORRY:(

Answer:

B.

Step-by-step explanation: The answer is b because 65.04 is the answer we get from finding the difference of those irregular triangles and the circle.

P.S. They must be done seperately.

Answer:

4 > 32

Step-by-step explanation:

The variable x represents how much each of Darren's burgers will weigh. Since he will form 4 burgers of equal weight, the expression 4x represents the total weight of the burgers.

And, since Darren will use more than 32 ounces of burger mix, 4x must be greater than 32.

This inequality shows the relationship.

4x > 32

Now, solve for x.

4x > 32

4x/4 32/4

divide 32 by 4

So the answer is x > 8

Answer:

answers are in the attached file!

Step-by-step explanation:

these are super simple to solve if you break it down! in order to turn a mixed number into an improper fraction, you first need to multiply the whole number by the denominator of the fraction. then, you add the numerator of the fraction to the product of the multiplication problem. that answer is then the new numerator of the fraction! the denominator will stay the same.

for example, the very first one that is given in the picture is 6 1/2. 6•2 equals 12, plus the numerator, 1, gives 13.

Answer:

[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]

Step-by-step explanation:

[tex]\textsf{Trig identity}: \quad \tan A=\dfrac{\sin A}{\cos A}[/tex]

[tex]\begin{aligned}\implies (\sin A)(\cos A)(\tan A)& =(\sin A)(\cos A)\dfrac{(\sin A)}{(\cos A)}\\\\& =\dfrac{(\sin A)(\cos A)(\sin A)}{(\cos A)}\\\\& =\sin^2 A\\\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Trig identity}: \quad \sin^2 A + \cos^2 A &=1\\\implies \sin^2 A & =1-\cos^2 A\end{aligned}[/tex]

[tex]\implies (\sin A)(\cos A)(\tan A)=1-\cos^2 A[/tex]

If [tex]\cos A=k[/tex] then:

[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]

The value of the expression (sin A)(cos A)(tan A) is equivalent to[tex]1 - k^2[/tex], which corresponds to option 4). k².

Let's use the trigonometric identity: tan A = (sin A) / (cos A).

Given cos A = k, we can find sin A using the Pythagorean trigonometric identity:[tex]sin^2 A + cos^2 A = 1.[/tex]

[tex]sin^2 A + k^2 = 1[/tex]

[tex]sin^2 A = 1 - k^2[/tex]

sin A = √(1 - [tex]k^2[/tex])

Now, the expression (sin A)(cos A)(tan A) is:

(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(k)((√(1 -[tex]k^2[/tex]))/k)

Now, we can cancel out the common terms:

(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(√(1 - [tex]k^2[/tex]))

Taking the square root of the product:

(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex])(1 - [tex]k^2[/tex]))

(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex][tex])^2[/tex]

(sin A)(cos A)(tan A) = [tex]1 - k^2[/tex]

So, the value of the expression (sin A)(cos A)(tan A) is equivalent to [tex]1 - k^2[/tex], which corresponds to option 4). k².

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100:224 = 61:x, or 61/100 = x/224

Cross multiply; 100x=13664

Then, divide by 100; x=136.64, or about 137 groups would contain all girls

Answer:

46 square inches

Step-by-step explanation:

Surface Area = 2×(5×3 + 5×1 + 3×1)

Answer:

its easy

Step-by-step explanation:

Answer:

the answer is that 20% plus 20% equals to 40% and the probability it will rain on at least one of those days is 40% or 2/5

Answer:

[tex](x-5)^2+(y-1)^2=20[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

Diameter = 2r (where r is the radius)

⇒ r = 4√5 ÷ 2 = 2√5

Substituting these values into the equation:

[tex]\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2[/tex]

[tex]\implies (x-5)^2+(y-1)^2=20[/tex]