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The volume of Hannah's suitcase in cubic inches is: C: 7938.

The volume can be determine using this formula

Volume = Length × Width × Depth

Where:

Length = 27 inches

Width = 21 inches

Depth = 14 inches

Let plug in the formula

Volume = 27 inches × 21 inches × 14 inches

Volume = 7,938

Therefore we can conclude that the volume is 7,938.

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Answer:

10^-3

10^-7

10^-8

10^-9

10^-6

Step-by-step explanation:

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The function which has greater slope is Function 2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Function 1:

y = -2x + 10

and Function 2:

Slope = (5-10)/( 2-0) = -5/2

So, the Equation of line

(y - 10) = -5/2 (x -0)

y - 10 = -5/2x

y = -5/2x + 10

y= -2.5x +10

So, the slope of Function 1 is greater than slope of function 2.

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The rule for g(x) = f(x-1)-3 is g(x) = (x-1)⁶-3(x-1)³ - 1

A function is an expression, rule, or law that defines a relationship between an independent variable and a dependent variable. Based on the information given, we can see that the variables that are illustrated in the question are f and g.

In order to write the rule for g(x) = f(x-1)-3 when f(x) = x⁶ - 3x³ + 2, replace x with x-1 in f(x) and subtract 3. That is:

g(x) =  f(x - 1) - 3

g(x) = (x-1)⁶ - 3(x - 1)³ + 2 - 3

g(x) = (x-1)⁶ - 3(x - 1)³- 1

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Answer:

C

Step-by-step explanation:

hope it helps

Answer:

The answer is C

Step-by-step explanation:

I keep seeing people put c so i am pretty sure that right

Answer:

15 and 11

Step-by-step explanation:

First find an equation that represents this scenario.

26 = n + (n-4) works, because the sum (26) is equal to the number (n) plus the number minus 4, which is the other number.

To find both numbers, solve for n:

26 = n + (n - 4)

First, combine like terms.

26 = 2n - 4

Then, add 4 to both sides

30 = 2n

Then divide both sides by 2.

15 = n.

So the number is 15, and the other number is 15-4, which is 11.

Answer: 39.79

Step-by-step explanation:

126/360 (2pi14)

Answer:

to solve this problem you have to take 9 over 20 (by assuming replacing the marbles)

9/20 is the experimental probability for a green marble to be picked

9/20 = 45%

The area of the floor in the scale drawing is 60 inches².

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangle:

Length = 24 feet

Width = 40 feet

Scale rectangle:

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scaled rectangle.

= Length x Width

= 6 x 10

= 60 inches²

Thus,

The area of the scaled rectangle is 60 inches².

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A 30-60-90 triangle is a right triangle where the three interior angles are 30°, 60°, and 90°.

Let, the shorter leg of a 30 60 90 triangle is equal to a. Then:

If we know the shorter leg length, we can find out that:

In the 30 60 90 triangles :

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Answer:

80%

Step-by-step explanation:

divide the number of days that there was sun (4) by the total number fo days (5), then multiply by 100 to get to a percent.

if you have any questions, leave them in the comments and i will try to answer them, if this helped, please give brainliest.

Answer:

50

Step-by-step explanation:

According to a recent study of 35 students,Population-wide, there was a 2.8-hour standard deviation. 16.60 is the population mean's 95% confidence interval.

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Answer:

The answer would be D!

Step-by-step explanation:

Tell me if i'm wrong

If sinθ⋅cosθ = 1/2, then the value of sinθ + cosθ = √2

We know that the trigonometric sine function is nothinng but the ratio of the length of the opposite side of angle to that of the hypotenuse in a right triangle.

And cosine function (cos function) is the ratio of the length of the adjacent side of angle to that of the hypotenuse.

Given that  sinθ⋅cosθ = 1/2

2(sinθ⋅cosθ) = 1             .........(1)

We know that trigonometric identity,

sin(2θ) = 2 sinθ cosθ

so equation (1) becomes,

sin(2θ) = 1            

We know that sin(π/2) = 1

Comparing with equation sin(2θ) = 1 we get,

2θ = π/2

θ = π/4          

Using trigonometric table,

sin(π/4) = 1/√2

and cos(π/4) = 1/√2

The value of  sinθ+cosθ would be,

sin(π/4) + cos(π/4)

= (1/√2) + (1/√2)

= 2/√2

= √2

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The complete question is:

If sinθ⋅cosθ=1/2 find the value of sinθ+cosθ

Answer:

Step-by-step explanation:

(-1, 1):  You can see that a vertical line through x = -1 is the center line (axis of symmetry) of this parabolic graph.  The vertex lies 1 unit above the x-axis:  y = 1.

Answer:

[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {5}^{2} \times 15 \\ = 392.5 \: {m}^{3} [/tex]

Answer: 8 miles

Step-by-step explanation:

1.25m+6=2m

--1.25m. -1.25m

6=.75

6/.75m=8 mile

s

Answer:

268°

Step-by-step explanation:

[tex] In\: \odot O, [/tex] AB is diameter.

So, [tex] \widehat{AB} \:\&\: \widehat {BA}[/tex] are semicircular arcs.

[tex] \therefore m\widehat {AB} =m\widehat {BA} = 180\degree [/tex]

[tex] \because \: m\widehat {BC} = m\widehat {BA} - m\widehat {CA} [/tex]

[tex] \therefore \: m\widehat {BC} = (180-92)\degree [/tex]

[tex] \therefore \: m\widehat {BC} =88\degree [/tex]

[tex] \because m\widehat {ABC} = m\widehat {AB}+m\widehat {BC} [/tex]

[tex] \therefore m\widehat {ABC} = 180\degree+88\degree [/tex]

[tex] \therefore m\widehat {ABC} = 268\degree [/tex]

Answer:

kt 5.20 yes

Step-by-step explanation:

5.20

Step-by-step explanation:

x = liters of solution at 20%

y = liters of solution at 70%

[tex]\begin{array}{lcccl} &\stackrel{liters}{quantity}&\stackrel{\textit{\% of liters that is}}{\textit{acid only}}&\stackrel{\textit{liters of}}{\textit{acid only}}\\ \cline{2-4}&\\ \textit{Sol'n at 20\%}&x&0.2&0.2x\\ \textit{Sol'n at 70\%}&y&0.7&0.7y\\ \cline{2-4}&\\ mixture&50&0.4&20 \end{array}~\hfill \begin{cases} x + y = 50\\\\ 0.2x+0.7y=20 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{x+y=50\implies x=50-y}\hspace{5em}\stackrel{\textit{substituting on the 2nd equation}}{0.2(50-y) + 0.7y=20} \\\\\\ 10-0.2y+0.7y=20\implies -0.2y+0.7y=10\implies 0.5y=10 \\\\\\ y=\cfrac{10}{0.5}\implies \boxed{y=20}[/tex]

(Hint)

by using quadratic formula we can find the value of x

3x^2+7x-30

a=3

b=7

c=-30

Answer:

- 8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

3x(x+x)−6x^2+2^2−12

=6x^2+−6x^2+4+−12

Combine Like Terms:

=6x^2+−6x^2+4+−12

=(6x^2+−6^2)+(4+−12)

=−8

Answer:

12/7 is a improper fraction

Step-by-step explanation:

as a decimal it is 1.71428571429 and as a mixed number it is 1 5/7

Answer:

its gonna be 1 5/7

Step-by-step explanation:

7 goes into 12 1 time and there is 5 left over so thats gonna be 1 and 5/12 or

1 5/12

Answer:

The answer is c- 1/2

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

2*10=20 red

3*10=30 white

20+30=50      

Answer:

50

Step-by-step explanation:

the ratio is 2:3

so every if she inflates 20 red she inflates 30 white

30 + 20 is 50

The ratio of surface area to volume is 6:s

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Given that, A cube has an edge length given by the variable “s”. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s² volume= s³

The ratio = 6s² / s³

= 6 / s

Hence, the required ratio is 6:s

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To calculate the amount of food to order for the graduation party with drop-in guests, you should multiply the number of "full" guests, which is 40 + x/2, by the recommended amounts listed in the table.

To calculate the amount of food to order for the graduation party, you need to take into account the number of guests and the recommended amounts listed on the table. Since the party is for 40 guests and there will also be "drop-in" guests, you need to convert these guests into an equivalent number of "full" guests. To do this, you can divide the number of drop-in guests by 2.

So if there are x drop-in guests, the number of "full" guests will be 40 + x/2.

Now you can use this number of "full" guests to calculate how much of each food item to order. For example, if the table recommends 1/4 lb of meat per guest, you would order (40 + x/2) × 1/4 lb = 10 + x/8 lb of meat.

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