What is the solution to (4/2)4 + (1 + 3)?

Select the correct answer from each drop-down menu.

sdas [7]

The graph described is the graph of a quadratic function.

The x-intercept of the function is at; (8, 0).

<h3>What type of function is described by the graph?</h3>

It follows from the description box of the graph that it begins in the third quadrant, and rises through a series of points in the first quadrant before it exits the first quadrant.

Hence, it follows that the graph is a quadratic function and its x-intercept is at point; (8,0).

Read more on intercept;

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3 0

3 years ago

Please help me with question number 2

Mice21 [21]

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

8 0

3 years ago

Last question thanks guys!! (only 1!)

pogonyaev

The correct answer is: [C]: " x² = √32 " .
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Explanation:
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Note: Working backward, "(± 4√2)" , squared, equals what value(s)?
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Note: We are actually given 2 (TWO) solutions:

" +4√2" and "–4√2" ;
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√32 = √8 √4 = √4 √2 √4 = 4√2 ;

- √32 = -1 * √32 = - 4√2
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or:

√32 = √16 √2 = 4√2 ;

-1 * √32 = - 4√2
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However, BOTH these values, when "squared" (i.e. raised to the exponential power of "two"; will result in the same value— which is: "32" ;
_______________________________________________________

is equal to: "(4√2)² = (4)² *(√2)² = (4*4) (√2*√2) = 16*2 = " 32 " .

______________________________________________________
√32 = √8 √4 = √4 √2 √4 = 4√2 ;

- √32 = -1 * √32 = - 4√2
_______________________________
or:

√32 = √16 √2 = 4√2 ;

-1 * √32 = - 4√2
_________________________________________________
" (4√2)² = (4)² * (√2)² = (4 * 4) (√2*√2) = 16 * 2 = " 32 " .

" (-4√2)² = (-4)² * (√2)² = (-4 *-4) (2) = 16 * 2 = " 32 " .
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The correct answer is: " 32 <span>" ; which is: Answer choice: [D]: " x</span>² = 32 " .<span>

We know that the answer is: " </span>" {" <span>± 8 "}; since we are dealing with equations that contain "x SQUARED"; that is, " x</span>²"; and when we solve for the 'square root of all values of a [variable raised to an even positive integer] ;

we take the "plus or minus" square root values ; since the value, "x" could be plus or minus; since a "negative value" multiplied by a "negative value" is a "positive value" ;
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So, the correct answer is: Answer choice: [B]: " x² = <span>± 8 " .
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Let us check our answer:

</span>√32 = √16*√2 = 4√2 ;

– √32 = – 4√2 ;
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Also, note:
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x² = 32 ; Solve for "x" ;

→ Take the square root of "each side" of the equation ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ √(x²) = √32 ;

→ | x | = √32 ;

→ x = ± √32 . Yes!
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8 0

4 years ago

Read 2 more answers

The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 28 mm and standard d

Misha Larkins [42]

Answer:

14.69% probability that defect length is at most 20 mm

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 28, \sigma = 7.6$