Janita practices on the track field 1.5 hours each day before a track meet. If there are 6 days until the track meet, how many hours will Janita practice?

The angle is approximately 65.09 degrees or 1.106 radians.

To find the angle whose cosine is 0.4203, we can use the inverse cosine function, denoted as [tex]cos^{-1}[/tex]or arccos.

The result will be:

[tex]cos^{-1}[/tex](0.4203) ≈ 65.09°

This means the angle whose cosine is 0.4203 is approximately 65.09 degrees or 1.106 radians.

The expression ln(4500) can be rewritten in terms of ln 5 and ln 6 by using the properties of logarithms and prime factorization. The final expression is ln(4500) = 3 * ln(5) + 5 * ln(6).

To rewrite the expression ln(4500) in terms of ln 5 and ln 6, we first need to break down 4500 into its prime factors. Starting off, we know 4500 = 5 * 5 * 5 * 3 * 2 * 2 * 2 * 2 * 2. Applying the properties of logarithms, ln a * b = ln a + ln b, the expression then becomes:

ln(4500) = 3* ln(5) + ln(3) + 5* ln(2).

Now, we have ln3 and ln2 terms instead of the desired ln5 and ln6 terms. To convert ln(2) and ln(3) to ln(5) and ln(6), we note that 6 = 2 * 3. Thus, ln(6) = ln(2) + ln(3). Replacing ln2 and ln3 with ln6 in our expression gives:

ln(4500) = 3 * ln(5) + 5 * ln(6).

So, ln(4500) can be expressed in terms of ln5 and ln6 as 3 * ln(5) + 5 * ln(6).

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Answer:

the answer is D. 5.1

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Answer:

Step-by-step explanation:

THESE ARE THE CORRECT ANSWERS

Without the specific GPA data for the sophomore, junior and senior classes, it's impossible to determine which of these classes had the lowest cumulative college GPA.

Unfortunately, from the data provided, we can't determine which class (sophomore, junior, or senior) had the lowest cumulative college GPA and the approximate value of that GPA. The information given relates more to correlation coefficients, random number generation, precalculus classes, and high school student classifications, but nothing specifically providing the desired GPA data.

Without specific GPA data for each class (sophomore, junior, senior), it's not possible to make an accurate deduction. An authoritative answer would be dependent on obtaining this specific data.

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When we will solve the equation 8x+16=8x-16 by subtractig 8x from each sides then we will get,

+16=-16 which is mathematically not correct.

So, there is no solution for this system.

SOooooo I don't think I am really right but I came up with 8X9=14+5X2=23

We will see that if the angles are supplementary, the measure of the other angle is 149°.

Two angles A and B are supplementary if their measures add up to 180°, so we must have:

A + B = 180°

In this case, we know that one of the angles measures 31°, let's say:

A = 31°

Replacing that we get:

31° + B = 180°

Solving for B, we get:

B = 180° - 31° = 149°

We conclude that the measure of the other angle is 149°.

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Brianna walked 6 miles more than she ran.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

she had got to bike a total of 2 miles, the other 3 of which she ended up walking. this means the trip was 5 miles long, all of which she walked.

walked: 8 miles.

biked: 2 miles

8 - 2 = 6 miles.

Hence, she walked 6 miles more than she ran.

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When we say about an object relative to something, this only means that we are comparing an object’s characteristic to that of our reference. So in this case, I think we are referencing Delia’s jump to someone else. Say our reference has a long jump length of 5 meters, since Delia’s relative long jump length is 0, this means that relative to the reference there is no difference. Therefore, Delia’s jump length is also 5 meters.

its c .i just took it

The coordinates of point M are approximately (5.7, 2.2).

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

To find the coordinates of point M, we need to first find the coordinates of point L.

Since point L partitions the directed line segment from K to N in a ratio of 1:2, we can use the midpoint formula to find its coordinates:

L = [(1/3)(8 - 6) + (-6), (1/3)(3 - (-2)) + (-2)]

L = (-4, 1)

Next, we need to find the coordinates of point M, which partitions the directed line segment from L to N in a ratio of 3:1. We can use the same formula:

M = [(3/4)(8) + (1/4)(-4), (3/4)(3) + (1/4)(1)]

M = (5.5, 2)

Rounding to the nearest tenth, we get M ≈ (5.7, 2.2).

Therefore, the coordinates of point M are approximately (5.7, 2.2).

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Answer:

Expression is,

[tex]3 < s + 4[/tex]

Solution is -1 < s.

Step-by-step explanation:

Given phrase,

Three is less than the sum of a number s and 4,

∵ Sum of s and 4 = s + 4,

Now, in the inequality,

We use < for 'less than'

Hence, 3 is less than s + 4

[tex]\implies 3 < s + 4[/tex]

Which is the required expression,

By solving it,

[tex]3-4<s[/tex]

[tex]\implies -1<s[/tex]

2.00 * 1.25 = 2.50

1.50 * 2.5 = 3.75

3.75 + 2.50 = $6.25 total cost

Answer:

Answer:

The value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

Step-by-step explanation:

As the expression given in the question.

= (2 - 5i) (p + q)i

Simplify the above

= (2 - 5i) (pi + qi)

= 2pi + 2qi - 5pi²- 5qi²

As i² = -1

Put in the above

= 2pi + 2qi + 5p +5q

= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i

= 4i + 10i² + 10 + 25i

As i² = -1

= 4i - 10 + 10 + 25i

= 29i

Thus the value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

on edge:)

Answer:

$2.37

Step-by-step explanation:

43.95 ÷ 16.1 = 2.37

                  =$2.37

Answer:

the correct Answer is definitely 90cm correct me If I am wrong!!

No, dollar markdowns do not represent price increases to the original selling price.

In retail, a markdown refers to a reduction in the price of an item from its original selling price. When a dollar markdown occurs, it means that the price of the item has been decreased by a specific dollar amount. This reduction is typically implemented to stimulate sales, clear out excess inventory, or attract customers.

For example, if an item originally priced at $50 is marked down by $10, the new selling price would be $40. Therefore, dollar markdowns signify a decrease in the selling price relative to the original price, rather than an increase. They are a common strategy used by retailers to adjust pricing to match market demand and drive sales.

hamburgers = 43 + 41 = 84

spaghetti = 13 + 20 = 33

pizza = 44 +39 = 83

 since 83 & 84 are close the answer is:

Hamburgers and pizza are preferred almost equally.

Answer:

Hamburgers and pizza are preferred almost equally.

Step-by-step explanation: