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2 years ago

Solve the compound inequality 9x ≤ –27 or 4x ≥ 36.

Mathematics

1 answer:

leva [86]2 years ago

3 0

Answer:

x ≤ – 3 or x ≥ 9.

Step-by-step explanation:

Given : 9x ≤ –27 or 4x ≥ 36.

To find : Solve the compound inequality.

Solution : We have given 9x ≤ –27 or 4x ≥ 36.

For 9x ≤ –27 .

On dividing both sides by 9.

x ≤ – 3.

For , 4x ≥ 36.

On dividing both sides by 4.

x ≥ 9.

We can write x ≤ – 3 or x ≥ 9.

Therefore, x ≤ – 3 or x ≥ 9.

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When exercising, the maximum heart rate (r ) in beats per minute is modeled by the equation shown in the box, where (a ) represe

worty [1.4K]

Answer:

186 beats per minute

Step-by-step explanation:

The maximum heart rate (r ) in beats per minute is modeled by the equation :

r = 220 - a ...(1)

Where

a is age of the person in years

If Sanchez age is, a = 34 years

Put a = 34 in equation (1)

r = 220 - 34

= 186 beats per minute

Hence, the maximum heart rate is 186 beats per minute.

7 0

3 years ago

A 32 foot tall tree casts a shadow that is 48 feet long. How far away from the tree is a

sveticcg [70]

Answer:

39 feet

Step-by-step explanation:

take the tree as AB , the distance between the man and the tree as BC, the distance between the man and the tip of the shadow CD and the point intersecting the hypotenuse CE

since CE parallel to AB we can BPT

CE/AB = CD/BD

6/32= CD/48

CD = 9 feet

since CD is feet

BC is 48-9 = 39 feet

3 0

1 year ago

Question: If the triangle is right, the hypotenuse is?? Plsss help

raketka [301]

Answer:

the hypotenuse of the given triangle is 48.5 ft

Step-by-step explanation:

the ways to detect the hypotenuse of a triangle are :

longest side of a right angled triangle is the hypotenuse of the triangle .
side opposite to the right angle ( 90° ) is the hypotenuse of the right angled triangle .

 in the given figure the longest side is 48.5, hence it's the hypotenuse....

3 0

2 years ago

The perimeter of a triangle is 90 cm.

harkovskaia [24]

Can you work out what one share is
If you don’t know comment

4 0

2 years ago

Read 2 more answers

If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.a. Yes

crimeas [40]

Answer:

Yes, the test was conducted with a risk of a type I error.

Step-by-step explanation:

If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.

Yes, for a null hypothesis to be rejected, it has being proven beyond all doubt that the null hypothesis will not work. the normal distribution has being used for the probability calculation.

if the null hypothesis is rejected and the alternative hypothesis is accepted, a type I error as occur.

In general terms:

‘a hypothesis has been rejected when it should have been accepted’. When this occurs, it is called a type I error.

5 0

2 years ago