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3 years ago

What is the order of the numbers from least to greatest? A = 4.6 x 10–4 B = 2.4 x 10–3 C = 3.5 x 105 D = 6.3 x 10–4

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

6 0

Answer:

B, A, D, C,

Step-by-step explanation:

B = 21,

A = 42,

D = 59,

C = 367.5

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During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the rem

Gnesinka [82]

Answer:

22.95 kg

Step-by-step explanation:

Let's say the farm stand owner starts with x kg of apples.

During the first hour, he sells 15% of the apples:

0.15 x

This means he's left with 85% of the original apples. During the second hour, he sells 20% of the remaining apples:

0.20 (0.85 x)

= 0.17 x

He's sold a total of 15% + 17% = 32% of the apples, so he's left with 68% of the apples. Continuing the pattern, the apples sold during the third hour:

0.25 (0.68 x)

= 0.17 x

He's sold 49% of the apples and is left with 51%. The apples sold during the fourth hour:

0.30 (0.51 x)

= 0.153 x

If 0.17 x = 25.5, then x = 150. So the apples sold during the fourth hour is:

0.153 (150) = 22.95

6 0

3 years ago

A golf player is trying to make a hole-in-one on the miniature golf green shown.

Flauer [41]

The path of the ball is an illustration of absolute equation.

The equation of the path is: $y =- \frac{12}7|x- 4.8| + 6.4$

The given parameters are:

$(h,k) = (4.8,6.4)$ --- the vertex (i.e. the point where the ball hits the wall)

$(x_1,y_1) = (2,1.6)$

$(x_2,y_2) = (7.6,1.6)$

An absolute function is represented as:

$y = a |x - h| + k$

Substitute $(h,k) = (4.8,6.4)$

$y = a |x - 4.8| + 6.4$

Substitute $(x_1,y_1) = (2,1.6)$ for x and y

$1.6 = a|2 - 4.8| + 6.4$

$1.6 = a|- 2.8| + 6.4$

Remove absolute bracket

$1.6 = 2.8a + 6.4$

Collect like terms

$2.8a = -6.4+1.6$

$2.8a =- 4.8$

Solve for a

$a =-\frac{4.8}{2.8}$

Simplify

$a =-\frac{12}{7}$

Substitute $a =-\frac{12}{7}$ in $y = a |x - 4.8| + 6.4$

$y =- \frac{12}7|x- 4.8| + 6.4$

Hence, the equation of the path is: $y =- \frac{12}7|x- 4.8| + 6.4$

See attachment for graph that models the path

Read more about absolute equations at:

brainly.com/question/2166748

5 0

2 years ago

A roller coaster travels 80 ft of track from the loading zone before reaching its peak. The horizontal distance between the load

Radda [10]

Answer:

the answer is answer b, or 30.83ft

Step-by-step explanation:

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3 years ago

Which of the followong metric unit is most appropriate to use to measure the distance from the top of a table to the floor.

Anna35 [415]

D. centimeters (cm)

km is too large of a unit for this measurement, kg is a unit of weight not distance, mm is small but you'd rather choose cm

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3 years ago

The balance on a car loan after 4 years is $8,996.32. The interest rate is 5.6% compounding annually. What was the initial value

Slav-nsk [51]

You would get 2015.17568 as the interest rate i believe

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4 years ago