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3 years ago

Simplify the expression. 16(1/2x)^4 The simplified expression is

Mathematics

1 answer:

SVEN [57.7K]3 years ago

4 0

Answer:

1/x^4

Steps:

(1/2x)^4 = 1/2^4x^4

= 16 * 1/2^4x^4

Multiply fractions: a * b/c = a * b/c

= 1 * 16/2^4x^4

Multiply the numbers: 1 * 16 = 16

16/2^4x^4

Factor 16: 2^4

= 2^4/2^4x^4

Cancel the common factor: 2^4

= 1/x^4

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Find the measure for angle 1 and angle 4

Assoli18 [71]

9514 1404 393

Answer:

angle 1 = 76°

angle 4 = 45°

Step-by-step explanation:

The relevant relations are ...

vertical angles are congruent
the sum of angles in a triangle is 180°
a linear angle is 180°
an exterior angle is equal to the sum of the remote interior angles

Angle 1 can be found using the fact that the sum of interior angles is 180°

∠1 +68° +36° = 180°

∠1 = 76° . . . . . . . . . . . . . subtract 104° from both sides

Finding angle 4 requires you know angle 3, which is a vertical angle to the one marked 65°. This means we have ...

∠3 +70° +∠4 = 180° . . . . . . the angles together form a linear angle

∠4 = 180° -70° -65° . . . . . . substitute 65° for ∠3

∠4 = 45°

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3 years ago

The equation of the graphed line is x+2y=5. what is the x-intercept of the graph?

Stella [2.4K]

The x-intercept is where the graph crosses the x-axis. that happens when y=0.

x + 2(0) = 5
x = 5

x-intercept is 5

4 0

3 years ago

Introduction to Functions (40-41)

Romashka-Z-Leto [24]

Answer:

try the option provided in the attachment.

8 0

3 years ago

The owner of a clothing store says his sales increased 35% from last year. His sales this year are $250,760. Find his sales from

dimulka [17.4K]

$\frac{100\%}{135\%} \times 250760 = 185748$

The figure has been rounded up to the nearest whole number. If this year's sales has increased by 35% from last year, it means that it is 1.35 times last year's sales. Hope this helps!

8 0

4 years ago

A dressmaker has 75 yards of lace . It takes 1 1/2 yards of lace to decorate one pocket . How many pockets can she decorate with

VikaD [51]

Answer:

50 pockets

Step-by-step explanation:

Given

$Total = 75\ yd$

$Pocket = 1\frac{1}{2}yd$

Required

Determine the number of pockets

To calculate the required , we make use of:

$Pockets = \frac{75yd}{1\frac{1}{2}yd}}$

$Pockets = \frac{75}{1\frac{1}{2}}}$

Convert the denominator to decimal

$Pockets = \frac{75}{1.5}$

$Pockets = 50$

Hence, she can lace 50 minutes

8 0

3 years ago