A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the​ box?

Given the expression below:

[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } }[/tex]

Use the following property:

[tex] \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]

Therefore:

[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } = \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } } \\ \large{ \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } = \frac{ \sqrt{7 \times 7 \times 7} }{ \sqrt{7} } \longrightarrow \frac{7 \sqrt{7} }{ \sqrt{7} } } \\ \large{ \frac{7 \cancel{ \sqrt{7} }}{ \cancel{ \sqrt{7} }} = 7}[/tex]

Note that a¹ = a. Therefore, 7¹ = 7.

Answer

Answer:

116

Step-by-step explanation:

116 is parallel to y so that are the same its called corresponding angles

When a transversal cuts two parallel lines, the corresponding angles are equal.

In the given figure, the corresponding angles are 116° and y

So, they are equal

⇒   y = 116°

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

Answer:

Quadrant III

Step-by-step explanation:

-180° is a 180° rotation clockwise, which will end up between Quadrant II and III. -90° is a 90° rotation clockwise, which will end up between Quadrant III and Quadrant IV. The range of possible angles are contained in Quadrant III, in conclusion.

Answer:

304 cups daily

Step-by-step explanation:

4 cups of food (monkeys) multiplied by 76 (amount elephants eats more)

4 x 76

Answer:

x=19.78

Step-by-step explanation:

Given triangle:

P=2.0

h=5.9

[tex]sin x=\frac{2.0}{5.9} \\sin x=0.338\\x= sin ^-10.338\\x=19.78^0[/tex]

Answer:

(0,4)

Step-by-step explanation:

Here, we want to find the y-intercept of the quadratic function

g(x) = 5x^2 + 9x + 4

Mathematically, we know that the y-intercept is the position on the graph where we have x = 0

so, to find the y-intercept value, we have to find g(0)

simply put, we have to substitute the value of 0 for x

Mathematically, we have this as;

g(0) = 5(0)^2 + 9(0) + 4

g(0) = 0 + 0 + 4

g(0) = 4

thus, we have the y-intercept point as (0,4)

Answer:

set ={Sunday,Monday,Tuesday,Wednesda,Thursda,Friday, Saturday} and set={1,2,3,4,5}

Step-by-step explanation:

Answer:

9.332621544^157

Step-by-step explanation:

formula to calculate factorial : n×(n-1)×(n-2)×(n-3)...3×2×1

So,

100×(100-1)(×100-2)×(100-3)...3×2×1

100×99×98×97×3×2×1

=564,656,400 Answer

Answer:

R(x) = 3.5x

Step-by-step explanation:

In economics, formula for total revenue is;

Total revenue = quantity sold × price.

In this question;

Let he quantity of drinks sold be x

We are told that the selling price is $3.50 per drinks

Since quantity is "x", then total revenue can be said to be R(x)

Thus;

Total revenue; R(x) = x × 3.50

R(x) = 3.5x

Step-by-step explanation:

the value of x is 18 degree and the value of Y is 15 degree

Answer:

Work done = 150 x 5  = 750 J

Step-by-step explanation:

Work done is the measure of energy transferred to an object when a force is added causing the object to move a distance in the direction of the force.

The equation for work done is force time the distance and is measured in Joules. Therefore the formula is W = F x D

work done (W) is measured in joules (J)

force (F) is measured in newtons (N)

distance (d) is in the same direction as the force and is measured in

metres (m)

W = F x D

w = 150 x 5

W = 750 J

Answer:

160 is the answer pls mark me as brainlist

Answer:

3rd model

Step-by-step explanation:

Well 125-35=90 and the 3rd model shows 125-35=90 so the correct answer is the t3rd model

Answer:

El cuestionario puede ser respondido de 360 formas diferentes.

Step-by-step explanation:

Dado que un político envía un cuestionario a sus votantes para determinar sus intereses acerca de 6 asuntos de importancia nacional: desempleo, medio ambiente, impuestos, tasas de interés, defensa nacional y seguridad social, y los votantes deben seleccionar cuatro asuntos de interés personal y colocarlos en orden 1, 2, 3 y 4 después de cada asunto para indicar el grado de interés, donde 1 indica el mayor interés y 4 el menor interés, para determinar en cuantas formas se puede responder al cuestionario se deben realizar los siguientes cálculos:

6 x 5 x 4 x 3 = X

30 x 4 x 3 = X

120 x 3 = X

360 = X

Por lo tanto, el cuestionario puede ser respondido de 360 formas diferentes.

Answer:

2a³

Step-by-step explanation:

2a³ can divide all these without living a remainder

Answer:

not congruent, they must have 3 equal sides and 3 equal angles. 72+38= 110, which means the last angle is 70°

Step-by-step explanation:

F qje hwuwihwgeiswwdvb7228✨✨

Answer:

1/4

Step-by-step explanation:

The probability of flipping a coin and landing a heads is 1/2. Their are 26 black cards in a standard deck of 52 cards- 26/52 (1/2). Multiply the fractions to get the probability.

1/2 * 1/2 = 1/4

Answer: [tex]\dfrac{\sqrt{2}}{2}[/tex]

Step-by-step explanation:

Given

The fraction is [tex]\dfrac{2}{2\sqrt{2}}[/tex]

Making denominator a number, multiply and divide by [tex]\sqrt{2}[/tex]

[tex]\Rightarrow \dfrac{2}{2\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\\Rightarrow \dfrac{2\sqrt{2}}{2\sqrt{2}\times \sqrt{2}}=\dfrac{2\sqrt{2}}{2\sqrt{2\times 2}}\\\\\text{cancel out the common term 2}\\\\\Rightarrow \dfrac{\sqrt{2}}{2}[/tex]

Answer:

C/3rd one. (y=2x+4)

Step-by-step explanation:

In the equation y=mx+b, m=slope of the line and b=y-intercept. From the graph, we know the y-intercept is 4 so we can write y=mx+4. To find the slope: (0-4)/(-2-0) = (-4)/(-2) = 2. We can replace the m with 2 to get the final equation of y=2x+4 which is also the third answer.

Answer:

y = 1sin(3x)

Step-by-step explanation:

y = A sin( (2π/ω)x )

A is amplitude = 1

ω is period = 2π/3

------------------------------

y = 1sin( 2π / (2π/3) x)

y = 1sin(3x)

The equation for the graph with a sinusoidal wave, given an amplitude of 1, a period of 2π/3, and a phase shift of 0, is y = sin((2π/3)x).

The equation for a sinusoidal wave can be written as:

y = A * sin(ωx + φ)

In this case, we are given the values of amplitude (A = 1), period (ω = 2π/3), and phase shift (φ = 0).

The amplitude (A) represents the maximum displacement or height of the wave from the center line. In this case, it is 1.

The period (ω) represents the length of one complete cycle of the wave. The period is the reciprocal of the frequency, and in this case, it is 2π/3.

The phase shift (φ) represents any horizontal displacement of the wave. In this case, the phase shift is 0, indicating that the wave starts at its equilibrium position.

Using these values, the equation for the given graph would be:

y = 1 * sin((2π/3)x + 0)

Simplifying it further:

y = sin((2π/3)x)

To learn more about equation click on,

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Answer:

The answer is A

Step-by-step explanation:

Answer:

A) The Chili Cookoff would be more skewed.

keep going! you are doing GREAT!

Answer:

English

Step-by-step explanation:

can you speak English plzzz

we need that

Answer:

i dont speak taco ask again in english

Step-by-step explanation:

Answer:

The angle if depression is 44.4 degree.

Step-by-step explanation:

horizontal distance, d = 50 m

slope length, L = 70 m

The angle of depression is given by

[tex]cos\theta=\frac{d}{L}\\\\cos \theta = \frac{50}{70}\\\\cos \theta = 0.714\\\\\theta = 44.4^o[/tex]

Answer:

31 degrees

Step-by-step explanation:

Subtract 94 from 125 to get the measure of angle DBC.

Answer: 20/300 = 1/15

Hope this helps...

Have a great day.