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Anastaziya [24]
3 years ago
8

Solve for x under the assumption that x > 0. Enter your answer in interval notation using grouping symbols.

Mathematics
1 answer:
Delicious77 [7]3 years ago
3 0
<span>Starting with x−24/x<10 multiply everything by x. x^2-24<10x Subtract 10x from both sides. x^2-10x-24 < 0 Factor. (x-12)(x+2) < 0 (x+2) is always positive since x > 0, but (x-12) is negative when x is a value between 0 and 12. This negative value for (x-12) satisfies that the left side is less than 0. Thus the solution set for x is (0,12).</span>
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What is the perimeter of the entire football field including the end zone
Dmitry [639]

Answer:

346 2/3 yards

Step-by-step explanation:

A football field is 100 yards long with each end zone being 10 years long, meaning the total length is 120 yards.

The width is 53 1/3 yards.

The perimeter is all the sides added, and a rectangle's, the shape of the field's, formula is p = 2l + 2w.

So if we plug it in and add it all up:

120 + 120 + 53 1/3 + 53 1/3

Perimeter = 346 2/3

4 0
3 years ago
Read 2 more answers
Question 134 (plz help) (ps I luv u)
stiv31 [10]

Answer:

<B = 108 degrees

Step-by-step explanation:

<A = <B  <u><em> (Alternate Angles are congruent)</em></u>

So,

6x+18 = x+93

=> 6x-x = 93-18

=> 5x = 75

<em>Dividing both sides by 5</em>

=> x = 15

Now,

<B = x+93

=> <B = 15+93

=> <B = 108 degrees

6 0
3 years ago
A long distance runner starts at the beginning of a trail and runs at a rate of 4 miles per hour. two hours later, a cyclist sta
valina [46]

To solve this problem, let us first assign variables. Let us say that:

A = runner

B = cyclist

d = distance

v = velocity

time = t

 

The time in which the cyclist overtakes the runner is the time wherein the distance of the two is the same, that is:

dA = dB

 

We know that the formula for calculating distance is:

d = v t

therefore,

vA tA = vB tB

 

Further, we know that tA = tB + 2, therefore:

vA (tB + 2) = vB tB

4 (tB + 2) = 14 tB

4 tB + 8 = 14 tB

10 tB = 8

tB = 0.8 hours = 48 min

 

Therefore the cyclist overtakes the runner after 0.8 hours or 48 minutes.

8 0
3 years ago
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negati
Anon25 [30]

Answer:

The one in the table on the left

Note that for the given values of x all of the y values are 2

This indicates a horizontal line, parallel to the x- axis with a slope of zero.

The equation of the line is y = c where c is the value of the y- coordinates the line passes through, in this case 2, thus

y = 2 is the equation of the line with zero slopeation

one of them is an undefined slope the other is a positive slope (Neither of them are a zero slope)

5 0
3 years ago
Read 2 more answers
Researchers study the relationship between interpersonal violence and health in college age women. The selected an alpha of 0.05
Elena-2011 [213]

Answer:

There exists a relationship between interpersonal violence and health.

Step-by-step explanation:

The relationship between interpersonal violence and health :

The null hypothesis will be ; the is no relationship between interpersonal violence and health while the alternative will negate the Null ;

If no relationship exists, correlation Coefficient = 0 and if a relationship exists, then correlation Coefficient is not = 0

H0 : ρ = 0

H1 : ρ ≠ 0

α = 0.05

Reported Pvalue = 0.016

Decison region :

Reject H0 ; If Pvalue < α

Therefore, Since Pvalue < α ; we reject H0 and conclude that there exists a relationship between interpersonal violence and health.

8 0
3 years ago
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