The weights of four similar packs of tomatoes are listed below.

Pack A: 2.456 pounds
Pack B: 2.457 pounds
Pack C: 2.454 pounds
Pack D: 2.459 pounds

Malcolm rounds the weights to the nearest hundredth pound. Which weight does
not round to 2.46 pounds?

A 2.456 pounds
B 2.457 pounds
C 2.454 pounds
D 2.459 pounds

Answer:

x = 48°

Step-by-step explanation:

Complementary angles

Angles that sum to 90°.

Vertical Angle Theorem

When two straight lines intersect, the vertical angles are congruent (equal).

Therefore, angle x is equal to the angle that is complementary to 42°.

To find x, subtract 42° from 90°:

⇒ x = 90° - 42°

⇒ x = 48°

The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

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Answer:

The 3 in the tens place is worth 10 times the 3 in the ones places.

Step-by-step explanation:

Have a great day :)

Answer:

1/4+1/3+1/8

=17/24

Step-by-step explanation:

1-17/24

=7/24

7/24×240

=70

Answer:

0.3

Step-by-step explanation:

0.4 * 0.75

Answer:

Step-by-step explanation:

16a^2 - 4b = ?

16(1/4)^2 - 4(6) = ?

4^2 - 4(6) = ?

16 - 4(6) = ?

16 - 24 = ?

Answer:

\(16(1 \div 4) {}^{2} - 4(6) \)

Step-by-step explanation:

16

\(16( \frac{1}{16} ) - 24\)

Answer:

Im lost too lol

Step-by-step explanation:

If you're looking for x, then:

2 = |x|-1

lxl-1 = 2

lxl-1+1=2+1

lxl=3

so x = -3, x=3

Answer:

Step-by-step explanation:

x

2

+

4

x

+

3

x

2

+

4

x

+

3

let's recall the vertical line test, it's a function if when dropping a vertical line on the graph, it only touches it once on the way down.

Check the picture below.

Answer: Choice C) AAS

Nice work on getting the correct answer.

=======================================================

Explanation:

We're given that angle A = angle C. This is shown in green in the diagram below.

AB || DC so we can show that angle ABD = angle CDB by the alternate interior angle theorem. This is shown in red.

Finally, we know that BD = BD which is marked in blue.

Note how the blue segment is not between the red and green angle for any of the two triangles. So we use AAS instead of ASA. The order is important.

The image of (-8, 7) after dilation by a scale factor of 1/3 centered at the origin is : (-8/3, 7/3)

Given point P (-8, 7)

The point is dilated by a scale factor of 1/3 centered at the origin is equivalent to multiplying the point by 1/3 for both the co-ordinates.

Therefore, the new point is given by :

P' = (-8×(1/3), (7)×(1/3))

P' = (-8/3, 7/3)

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By using the midpoint rule, the value of n to approximate the integral is 9.24.

The integral of a function is a measure of the total area under the curve of the function over a given interval. The Midpoint Rule is a method used to approximate the value of an integral by dividing the interval into smaller subintervals, finding the midpoint of each subinterval, and using the height of the function at the midpoint to estimate the area of the subinterval.

In this specific problem, we are asked to approximate the integral of the function f(x) = sin root x from x = 0 to x = 48, using the Midpoint Rule with n = 4 subintervals. To do this, we divide the interval [0,48] into 4 equal subintervals of width

=> (48-0)/4 = 12.

The midpoint of each subinterval is calculated as follows:

1st subinterval: (0 + 12)/2 = 6

2nd subinterval: (12 + 24)/2 = 18

3rd subinterval: (24 + 36)/2 = 30

4th subinterval: (36 + 48)/2 = 42

Next, we find the height of the function f(x) = sin root x at each of these midpoints.

1st subinterval: sin root 6 = 0.77

2nd subinterval: sin root 18 = 0.97

3rd subinterval: sin root 30 = 0.87

4th subinterval: sin root 42 = 0.71

Finally, we multiply each height by the width of the subinterval to find the estimated area of each subinterval, and add up these areas to obtain the final estimate of the integral:

(0.77 * 12) + (0.97 * 12) + (0.87 * 12) + (0.71 * 12) = 9.24

So, our final estimate of the integral of f(x) = sin root x from x = 0 to x = 48 using the Midpoint Rule with n = 4 is 9.24. Rounding to 4 decimal places, our answer is 9.2400.

Complete Question:

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.

∫0 to 48 sin √x dx, n=4

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Answer:

= 3v^2 x^27

Step-by-step explanation:

Apply exponent rule:   aa = a^2

VV = V^2

=3V^2x^24x^3

Simplify x^24 x^3 :  x^27

= 3v^2 x^27

Step-by-step explanation:

Subtracting 14 from both sides of the equation, we get:

x^2 = 64

Taking the square root of both sides, we get:

x = ±8

Therefore, the two numbers are 8 and -8.

Answer:

f(x) = x³

g(x) = 2x - 4

A.) (fg)(x) = x³(2x - 4)

= 2x⁴ - 4x³

B.) (f/g)(x) =

\( \frac{ {x}^{3} }{2x - 4} \)

Hope this helps you

We need 1500 ft³ of a storage unit to combine 5 filled Uboxes.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, If a Ubox equals 300 ft³.

Therefore, The amount of cubic feet of space i need to combine 5 filled

Uboxes can be obtained by multiplying the number of Uboxes with the volume of one Ubox which is,

= 300×5 cubic feet.

= 1500 cubic feet.

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Answer:

54 X 68=3672

Step-by-step explanation:

The graph of g(x) is on the image at the end, and the correct option for the transformation is B.

We define a horizontal dilation of scale factor k as:

g(x) = f(k*x)

if k > 1, we have a stretch.

if  0 < k < 1, we have a shink of scale factor 1/k

Here we have:

g(x) = f (5x) = 5x - 4

We can notice that k = 5, then we have a stretch, thus, the correct option is B.

The graph of function g(x) can be seen in the image at the end.,

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9514 1404 393

Answer:

  2×10¹

Step-by-step explanation:

For division, mantissas divide, and exponents subtract.

  \(\dfrac{6\times10^3}{3\times10^2}=\dfrac{6}{3}\times10^{3-2}=\boxed{2\times10^1}\)

Answer:

B

Step-by-step explanation:

we have the points

(-2, -1) (6,5)

Find out the slope

m=(5+1)/(6+2)

m=6/8

simplify

m=3/4

therefore

Answer:

y = -3x + 10

Step-by-step explanation:

slope of perpendicular line = -3

y-1 = -3(x-3)

y-1 = -3x + 9

y = -3x + 9 + 1

y = -3x + 10

Answer:

You will add!

Step-by-step explanation:

Words words words

Answer:

(-5,47) (-1,7) (0,-3) (1,-13)

Step-by-step explanation:

1 month from April 10, 2018 is May 10, 2018

1 month from May 10, 2018 is June 10, 2018

1 month from June 10, 2018 is July 10, 2018

After 3 months, the date would be July 10, 2018

9514 1404 393

Answer:

  undefined

Step-by-step explanation:

A rational expression is undefined when its denominator is zero.