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frutty [35]
3 years ago
6

(x^7/8) (x^1/4) Simplify the expression using the properties of exponents

Mathematics
1 answer:
valkas [14]3 years ago
5 0

Answer:

x^9/8

Step-by-step explanation:

The exponent property that you can use here is that when multiplying the two exponents, you add their exponents

Thus, (x^7/8) (x^1/4) = x^(7/8+1/4)=x^9/8

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Abdul is creating a cushion that is 1 foot by 2 feet by 3 feet. He wants to find the least amount of fabric he will need to cove
netineya [11]

Answer:

The least amount of fabric are 22 square feet

Step-by-step explanation:

we know that

The surface area of a rectangular prism is given by the formula

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Let

L ---> the length pf the prism

W ---> the width of the prism

H ---> is the height of the prism

Let

L=2\ ft\\W=3\ ft\\H=1\ ft

Find the area of the base

B=LW=(2)(3)=6\ ft^2

Find the perimeter of the base

P=2(L+W)=2(2+3)=10\ ft

Find the surface area

SA=2(6)+10(1)=22\ ft^2

therefore

The least amount of fabric are 22 square feet

7 0
3 years ago
Read 2 more answers
Ahoy there, matey! Our pirate ship had 5/6 of a treasure chest full of gold.
Kisachek [45]

Answer:

1 \frac{5}{24} teasure chests of gold

Step-by-step explanation:

Since this is a problem of adding or subtracting fractions, you will have to do one or the other to solve.  Since the pirates already had \frac{5}{6} of a treasure chest of gold and stole another \frac{3}{8} of a treasure chest to add to their collection, we need to add these two fractions:

\frac{5}{6}+\frac{3}{8}

In order to add or subtract fractions, you need to have a common denominator.  Choosing a common denominator means looking for the lowest common multiple of the two denominators:

6: 6, 12, 18, 24

8: 8, 16, 24

\frac{5}{6}=\frac{20}{24}and\frac{3}{8}=\frac{9}{24}

Add them together:  \frac{20}{24}+\frac{9}{24}=\frac{29}{24}=1\frac{5}{24}

7 0
3 years ago
What is the unit rate for miles per gallon if you travel 588 miles on 28 gallons of fuel
Nataly_w [17]

Answer: im pretty sure its 21 mi per gal

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Please answer this question​
Anettt [7]

Answer:

Step-by-step explanation:

2)f(x) = 2x² +4x - 3    

a = 2 ; b = 4 ; c = -3

1) Put x = -1 in the equation

f(x) = 2*(-1)² + 4*(-1) -3 = 2 - 4 -3 = -5

Vertex = (-1,-5)

2) Upward

3) Minimum

4) axis of symmetry = -b/2a = -4/2*2=-4/4= -1

x = -1

5) domain: all real numbers  (-∞ ,∞)

Range : y ≥ -5 ; [-5 , ∞)

3) f(x) = 3x² - 6x + 4

Vertex : (1,1)

Opening : upward

Minimum

Axis of symmetry: x = 1

Domain: all real numbers

Range: y ≥ 1 ; [1, ∞)

4)f(x) = -x² - 2x - 3

a) Vertex:  f(x) = -(-1)² - 2*(-1) - 3 = -1 + 2 - 3 = -2

Vertex( -1,-2)

b) downward

c) Maximum

d) Axis of symmetry: x = 2/-2 = -1  

x = -1

e) Domain: all real numbers

Range: y ≤ -2 ; (-∞ , -2]

5)f(x) = 2(x -2)²

a) Vertex: (2, 0)

b) Opening: upward

c) Minimum

d) x = 2

e)Domain: all real numbers

Range: y ≥ 0 ; [0,∞)

4 0
3 years ago
Can someone plz help me with this one problem plz!!!!<br><br> (I Will Mark Brainliest)!!!!!
Vinil7 [7]

Answer:

it would be in the middle? like starting at 0

6 0
3 years ago
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