Como parte de la propuesta de investigación de Iris, ella planifica desplazar un objeto a 5 m con la fuerza de 20N. Al probar su experimento, Iris terminó realizando un trabajo de 100 unidades. ¿Cuál unidad de medida debe usar Iris para expresar el trabajo?

Answer:

∠O ≈ 43°

Step-by-step explanation:

Draw a diagram to help you visualize (see photo below).

Since ∠Q is a right angle and ΔOPQ is a triangle, we can use the trigonometric ratios (SohCahToa).

To find ∠O (which is represented by θ in the diagram), use the given sides:

QO = 61 feet

OP = 83 feet

OP is the hypotenuse since it's the longest side.

If ∠O = θ (angle of reference), then side QO is adjacent.

The trig. ratio that uses adjacent and hypotenuse is:

cosθ = adjacent / hypotenuse

Substitute the variables for this question

cosO = QO / OP

Substitute the known values

cosO = 61 feet / 83 feet            Isolate "O"

∠O = cos⁻¹(61/83)                Input into calculator

∠O ≈ 42.69787...°               Exact answer

∠O ≈ 43°               Round to the nearest whole degree

Therefore, the measure of ∠O is 43°.

Please comment below if you have any questions!

Answer:

15,800-4,400

Step-by-step explanation:

Add the assets column which equals to 15,800, then add the liability column which adds up to be 4,400 :)

Answer:$15,800 - $4,400 = $11,400

Step-by-step explanation:

yes

Answer:

344

Step-by-step explanation:

80*4=320

6*4=24

320+24=344

Answer: 4.22

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-v² - 3v -8)(3v² + 6v + 3) = -v²*(3v² + 6v + 3) -3v*(3v² + 6v + 3) -8*(3v² + 6v + 3)

= -3v⁴ - 6v³ - 3v² -9v³ - 18v² - 9v - 24v² - 48v - 24

{bring the like terms together}

= -3v⁴ - 6v³ - 9v³ -3v² -18v² -24v²  - 9v - 48v - 24

= -3v⁴ - 15v³ - 45v² - 57v - 24

HINT:

-v²*(3v² + 6v + 3) = -v²*3v² + (-v²)*6v + (-v²)*3

                           = -3v²⁺² - 6v²⁺¹ - 3v²

-3v*(3v² + 6v + 3) = -3v*3v² + 6v*(-3v) + 3*(-3v)

                            = -9v¹⁺² - 18v¹⁺¹ - 9v

                            = -3v³ - 18v² - 9v

                          = -3v⁴ - 6v³ - 3v²

Answer:

Even if a person doesn't show symptoms, they can still have it.

Step-by-step explanation:

That's the problem.

Even if you think everyone isn't sick, they very well could be, and because there is no vaccine and it spreads so quickly, there's a chance that all the people in that group could get it.

Answer:

Getting infected

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that, .

Frederick make 7 × 7 quilt array

This shows that there are seven rows and there are seven columns.

So, the total quilt is

7 × 7 = 49 squares patches

We are told that each of this square patches are 3½ in long

Then, since it is a square patch, it's area is

A = S² = 3½ × 3½ = 12¼ in²

So, each square patch has an area of 12¼in²,

Then, for 49 square patches

The total area of 49 Square patches is

A = 49 × 12¼ = 600.25 in²

So, the area of the whole quilt is 600.25 in²

Answer:

The area of the whole quilt  is 600.25 ft²

Step-by-step explanation:

Here we have the length of each patch given as [tex]3\frac{1}{2} in[/tex]

Therefore, whereby the quilt had 7 × 7 array of different color square patches, we have;

Length of each side of quilt = [tex]7 \times 3\frac{1}{2} = 7 \times \frac{7}{2} = \frac{49}{2} = 24\frac{1}{2}[/tex]

∴ Area of the whole quilt = [tex]24\frac{1}{2} \times 24\frac{1}{2} = \frac{2401}{4} = 600\frac{1}{4} \ ft^2[/tex]

The area of the whole quilt  = 600.25 ft².

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

Answer:

6

Step-by-step explanation:

6 multiplied by 6 is 36.

Answer:

6

Step-by-step explanation:

When you are solving for a certain variable, you want to simplify the equation down until you can't anymore. This equation is very simple. You just have to divide both sides by 6. This is because we want to get the variable (x) alone.

6x=36

Divide both sides by 6

x=6

hope that helped.

Answer:

78.54

Step-by-step explanation:

V=[tex]\pi \\[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]

V= 3.14 [tex](5)^{2}[/tex] [tex]\frac{3}{3\\}[/tex]

V= 3.14 (25) (1)

V= 78.5

The volume of a cone can be calculated using the formula V = 1/3 * π * r2 * h, where r is the radius and h is the height.

To find the volume of a cone, you can use the formula V = 1/3 × π × r² × h, where r is the radius of the base and h is the height of the cone.

For example, if the radius is 4 cm and the height is 10 cm, we can substitute these values into the formula:

V = 1/3 × 3.14 × 42 × 10 = 1/3 × 3.14 × 16 × 10 = 167.47 cm³.

So, the volume of the cone is approximately 167.47 cm³.

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Answer:

27

Step-by-step explanation:

Plug in 12 every time you see "x". When you do this it should be f(12) = 3(12) - 9 = 36 - 9 = 27.

Hope this helped :)

The function value f(12) for f(x) = 3x - 9 is calculated by substituting x with 12, resulting in f(12) = 3(12) - 9, which simplifies to f(12) = 27.

To find the value of f(12) for the given function f(x) = 3x - 9, you simply substitute the value of 12 for x and then perform the calculation:

f(12) = 3(12) - 9
f(12) = 36 - 9
f(12) = 27

Therefore, the function value of f(12) is 27. When plotting or using a graph, this is the y-coordinate when x is 12 for the equation y = 9 + 3x, which has a slope ('m') of 3 and a y-intercept ('b') of 9.

Answer:

Sorry man I could answer it I could find the step

But I hope you have good look on this!

But if You are using trygonometry here

a , 4

m  3 , 16

m 2, 20

m 2

Answer:

it's a 4 m 3,16 m 2,20 and m 2

mm, 3,2,

Step-by-step explanation:

i got it right

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]z=\frac{14-15}{2}[/tex]

[tex]z=\frac{-1}{2}[/tex]

[tex]z=-0.5[/tex]

Similarly, we will find the z-score corresponding to 18.

[tex]z=\frac{18-15}{2}[/tex]

[tex]z=\frac{3}{2}[/tex]

[tex]z=1.5[/tex]

Now we will find the probability of getting a z-score between [tex]-0.5[/tex] and [tex]1.5[/tex] that is [tex]P(-0.5<z<1.5)[/tex].

[tex]P(-0.5<z<1.5)=P(z<1.5)-P(z<-0.5)[/tex]

Using normal distribution table, we will get:

[tex]P(-0.5<z<1.5)=0.93319-0.30854[/tex]

[tex]P(-0.5<z<1.5)=0.62465[/tex]

Let us convert [tex]0.62465[/tex] into percentage.

[tex]0.62465\times 100\%=62.465\%\approx 62.5\%[/tex]

Therefore, approximately [tex]62.5\%[/tex] of the students are between 14 and 18 years old.

Answer:

62.47%

Step-by-step explanation:

Answer:

Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.

Step-by-step explanation:

Answer: -90-27v

Step-by-step explanation:

N A

Answer:

-90-27v

Step-by-step explanation:

9(-10-4v)+9v

-90 - 36v + 9v

-90 - 27v

Answer for the first blank = infinity

Answer for the second blank = 9000

===================================================

Explanation:

Note how the graph goes on forever in both left and right directions. So x extends forever in both directions. This means any x can be an input to the function. The domain is -infinity < x < infinity. Basically, the domain is the set of all real numbers.

The range is -infinity < y <= 9000 since there is no smallest y value, but the largest y can be is y = 9000. Look at the highest point of the parabola and note the y coordinate of this point. This highest point is called the vertex.

Answer:

5n

The coefficient is 5

Step-by-step explanation:

For day 1; he fill 5 cups

For day 2; he fill 5 + 5 cups

For day 3; he fill 5 + 5 + 5 cups

For day 4; he fill 5 + 5 + 5 + 5 cups

For day n; ?

The sequence is 5, 10, 15, 20, ...

The sequence increases linearly.

a = 5, d = 5, n = ?

Using the Formula for nth term of a sequence, we have:

[tex]T_{n} = a + (n - 1)d\\T_{n} = 5 + (n - 1) 5\\T_{n} = 5 + 5n -5\\T_{n} = 5 - 5 + 5n\\T_{n} = 5n[/tex]

The question is not complete. Here is the complete question:-

Michael started by filling up 12 cups. Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days. Identify the coefficient.

Answer:

The algebraic expression is :

y = 12 + 5n

The coefficient is 5

Step-by-step explanation:

Please kindly check the attached files for explanation

Answer:

The coordinates of b are (-7, -8)

Step-by-step explanation:

Answer:

(-2,6)

Step-by-step explanation:

Answer:

i will give you the steps to find out how

Step-by-step explanation:

Explanation: To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Answer:

The equation to find the area of a Trapezoid is A=h·([tex]\frac{b1+b2}{2}[/tex])

Step-by-step explanation:

Answer:

600 beans

Step-by-step explanation:

If there are 300 pinto beans and the ratio is 1:1 there would have to be 300 black beans making 600 total.

Answer:

[tex]\frac{7}{20}x < 26.25[/tex]

Step-by-step explanation:

If $x is the value of the gift card when Tyler entered the store, then after spending [tex]\frac{13}{20}[/tex] of the gift card the card's value was less than $26.25.

So, we can write the inequality as

[tex]x - \frac{13}{20}x < 26.25[/tex]

⇒ [tex]\frac{7}{20}x < 26.25[/tex]

So, this is the required inequality that describes x, the value of the gift card when Tyler entered the store. (Answer)

Answer:

333

Step-by-step explanation:

Answer:

The value of 0 is 62

The expression of 0 is  0 = arcsin (cos (28))

Step-by-step explanation:

Sin(0) = cos(28)

The value of 0 is  90 - 28 = 62 degrees.

The expression of 0 is derived from algebraically solving for 0

0 = arcsin (cos (28))

Answer:

C

Step-by-step explanation:

The median is 50, the lower quartile is 39, and the upper quartile is 62.

Answer:

c

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

A on edg

The solution to the quadratic equation is x = -4

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + 8x = x² - 16

Subtracting x² on both sides , we get

x² + 8x = -16

Adding 16 on both sides , we get

x² + 8x + 16 = 0

On simplifying the equation , we get

( x + 4 )² = 0

Taking square roots on both sides , we get

x + 4 = 0

Subtracting 4 on both sides , we get

x = -4

Therefore , the value of x is -4

Hence , the solution is x = -4

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Answer:

14%

Step-by-step explanation:

5.60 / 40 = 0.14

0.14 x 100 = 14

Mr. Webb left a 14% tip.

Answer:

14%.

Step-by-step explanation:

You just divide (5.6/40)*(100)=the answer. If you do the math correctly(the * means multiplication) you will end up with 14%

The actual length of the fence is 215 inches

Step-by-step explanation:

Length of fence in drawing = 3.75 inches

Actual length of the fence = 24 ft

= 288 inches

Scale factor = 288/3.75

= 76.8

Length of fence in drawing = 2.8 inches

Actual length = 2.8 x 76.8

= 215 inches

The actual length of the fence is 215 inches

Answer:

215 in

Step-by-step explanation:

215 in

Answer:

134.0

Step-by-step explanation:

Final answer:

The volume of the hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot, is approximately 134.0 cubic feet.

Explanation:

To find the volume of a hemisphere, we can use the formula:

Volume = (2/3) * π * (radius)^3

Given that the diameter of the hemisphere is 8ft, we can calculate the radius by dividing the diameter by 2:

Radius = 8ft / 2 = 4ft

Substituting the value of the radius into the formula, we get:

Volume = (2/3) * π * (4ft)^3

Volume ≈ 134.04 ft³ (rounded to the nearest tenth)