What is the range of y=log2(x-6)

Answer:

The equation is y=12x. It takes 24 minutes for the rock climber to get to 288 feet.

Step-by-step explanation:

Since we know there are 60 minutes in an hour, we can divide 720 by 60. This gives us 12. Therefore, for every minute, the rock climber gets 12 feet higher. Assuming y is the height in feet, and x is the time in minutes, we can create the equation y=12x. Now, to find how long it takes to get to 288 feet, we will substitute y with 288.

288=12x

288/12 = 12x/12

24 = x

Now, we have time in minutes that it takes to get to 288 feet.

Hope this helps!

The equation is y=12x.

It takes 24 minutes for the rock climber to get to 288 feet.

here we know that

One hour = 60 minutes

so, by dividing 720 from 60 we get 12

here we assume  the time in minutes be x

So, the equation is

y = 12x

288=12x

288/12 = 12x/12

24 = x

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Answer:4) 6 fourth root of x cubed

Step-by-step explanation:

Given Information:

Mean percent of childhood asthma = μ = 2.23%

Sample size = n = 31

Standard deviation = σ  = 1.24%

Required Information:

P(X > 2.6) = ?

Answer:

P(X > 2.6) = 0.0475 = 4.75%

Step-by-step explanation:

Let X is the random variable that represents percent of childhood asthma prevalence.

We want to find out the probability that the  mean childhood asthma prevalence for the sample is greater than 2.6%

[tex]P(X > 2.6) = 1 - P(X < 2.6)\\\\P(X > 2.6) = 1 - P(Z < \frac{x - \mu}{\frac{\sigma}{\sqrt{n} } } )\\\\P(X > 2.6) = 1 - P(Z < \frac{2.6 - 2.23}{\frac{1.24}{\sqrt{31} } } )\\\\P(X > 2.6) = 1 - P(Z < \frac{2.6 - 2.23}{0.222} )\\\\P(X > 2.6) = 1 - P(Z < \frac{0.37}{0.222} )\\\\P(X > 2.6) = 1 - P(Z < 1.67)\\[/tex]

The z-score corresponding to 1.67 is 0.9525

P(X > 2.6) = 1 - 0.9525

P(X > 2.6) = 0.0475

P(X > 2.6) = 4.75%

Therefore, there is 4.75% probability that the mean childhood asthma prevalence for the sample is greater than 2.6%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.6)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.67 then go for 0.07 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

Using the normal distribution and the central limit theorem, it is found that that there is a:

0.0485 = 4.85% probability that the  mean childhood asthma prevalence for the sample is greater than 2.6%. The interpretation is that when many samples of 31 are chosen, around 4.85% of them will have an asthma prevalence greater than 2.6%.

---------------------------------

When the distribution is normal, the z-score formula is used, with [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

---------------------------------

---------------------------------

The probability of a sample mean above 2.6% is 1 subtracted by the p-value of Z when X = 2.6. Thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2.6 - 2.23}{0.2227}[/tex]

[tex]Z = 1.66[/tex]

[tex]Z = 1.66[/tex] has a p-value of 0.9515.

1 - 0.9515 = 0.0485.

0.0485 = 4.85% probability that the  mean childhood asthma prevalence for the sample is greater than 2.6%. The interpretation is that when many samples of 31 are chosen, around 4.85% of them will have an asthma prevalence greater than 2.6%.

A similar problem is given at https://brainly.com/question/22934264

Answer:

The area of the square base is 114 in. 2

The area of each triangular face is 66 in. 2

Gabriel will need 408 in. 2  of paint

Given:

Radius of in circle (r) = 2 cm

Radius of out circle (R) = 4 cm

To find:

The area of the shaded region.

Solution:

The value of π = 3.14

Area of in circle = πr²

                          = 3.14 × 2²

Area of in circle = 12.56 cm²

Area of out circle = πR²

                          = 3.14 × 4²

Area of out circle = 50.24 cm²

Area of the shaded region = Area of out circle - Area of in circle

                                            = 50.24 - 12.56

                                            = 37.68 cm²

The area of the shaded region is 37.68 cm².

Answer:

$321

Step-by-step explanation:

Because if you use a calculator u put in 300 + 7% you get 321

Answer: $8.04

Step-by-step explanation: First you add on 7% to all of the amounts, then you get the new answer and subtract it by the old answer, finally you add up the subtracted amounts together. (Sorry if its wrong it tried my best)

Answer:=2

Step-by-step explanation:

Answer:

This is truly false.

When determining which x-values would make an expression undefined, you do need to include the factors you canceled out.

Step-by-step explanation:

When working with functions, it is said to be undefined when the value of the function doesn't take on a value, and this occurs when the denominator is equal to 0.

Take for example

(x-2)/(x-2)

This simple function can be simplifted further by cancelling out the factors to get 1, but that doesn't change the fact that, at x=1, this function becomes undefined.

Because, the values of x can vary and can take on values that can make the denominator to be 0, factors that are cancelled need to be included in checking for where a function is undefined.

Hope this Helps!!!!

Answer: B

Step-by-step explanation:

Answer: B

For example, as more people quit smoking (x), fewer people develop lung cancer (y). The graph for this relationship has a negative slope. If the gradient is negative, then the gradient and the gradient must be opposite, one must be positive and the other must be negative.

In other words, you go up and down or left and right. The positive area of ​​a function is the interval at which the function is on the x-axis. Where the y value is positive (not zero). The negative area of ​​a function is the interval at which the function is below the x-axis.

Learn more about negative slope here: https://brainly.com/question/3537825

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Answer: total profit = $418

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

Work Shown:

June

Income = (4 lawns)*($27 per lawn) = $108

Expenses = ($32 for gas)+($12 for trim line) = $44

Profit = income - expenses = 108-44 = $64

----------------------------

July

Income = (12 lawns)*($20 per lawn) = $240

Expenses = ($89 for gas)+($29 for blade sharpening) = $118

Profit = income - expenses = 240 - 89 = $151

----------------------------

August

Income = (16 lawns)*($20 per lawn) = $320

Expenses = ($101 for gas)+($16 for oil) = $117

Profit = income - expenses = 320-117 = $203

----------------------------

Total profit = (june profit)+(july profit)+(august profit)

Total profit = (64) + (151) + (203)

Total profit = $418

If the final result was negative, then we would call this a loss. However, we have a positive value, so we go with a profit.

Answer:

so a number s (s) is subtracted from seven (7 take away s or 7-s) when the result (7-s) is divided by 3 [(7-s)/3] the quotient is 2 (=2)

(7-s)/3=2

multiply both sdis by 3

7-s itmes 3/3=2 times 3

7-s=6

subtract 7 from both sdies

-s=-1

multily -1

s=1

7-x=y

y/3=2

y=6

7-x=6

-x= -1

x=1

Answer:

The answer is B.276.

Step-by-step explanation:

Got it right on Edge 2020 :)

Have a great day!!!! :)

Answer: 1/25

Step-by-step explanation:

Answer:

point c is the correct answer

Step-by-step explanation:

Answer:

[tex]y = - {(x - 4)}^{2} - 2[/tex]

[tex]y = - {(x + 4)}^{2} - 2[/tex]

[tex]y = - {x}^{2} - 2[/tex]

Step-by-step explanation:

A vertex form equation of a parabola is of the form

[tex]y = a(x - h)^{2} + k[/tex]

with vertex at (h,k).

If a parabola opens downwards, then a<0.

If the vertex of such parabola is below the x-axis, then it has no real solution, because it will not intersect the x-axis.

[tex]y = - {(x + 4)}^{2} - 2[/tex]

has vertex at (-4,-2), which is below x-axis.

[tex]y = - {(x - 4)}^{2} + 2[/tex]

has vertex at (-4,2)--->above x-axis

[tex]y = - {(x - 4)}^{2} - 2[/tex]

vertex at (4,-2) ---> below x-axis

[tex]y = - {x }^{2} - 2[/tex]

(0,-2)----> below x-axis

Answer:

1/6

Step-by-step explanation:

if it's split equally between 6 people then each gets 1/6

Final answer:

Each guest at the party would get ⅓ cup of salsa.

Explanation:

Kaden makes 2 cups of salsa for a party and the 6 guests share the salsa equally. To determine how much each guest eats, we divide the total amount of salsa by the number of guests. We perform the following calculation:

We divide the total cups of salsa, which is 2, by the number of guests, which is 6:

2 cups ÷ 6 guests = ⅓ cup per guest

Therefore, the fraction that shows how much each guest eats is ⅓ cup.

Answer:

Ax6

Step-by-step explanation:

For example, If you had 2 pencils in a pack and there were 6 packs of pencils. You would do 6 times 2 to find out how many pencils you have in total. In other words, you do A times 6.

Answer:

r=5.4

As mentioned above, the actual \goldE{\text{total quantity}}total quantitystart color #a75a05, start text, t, o, t, a, l, space, q, u, a, n, t, i, t, y, end text, end color #a75a05 is 1000-10=\goldE{990}1000−10=9901000, minus, 10, equals, start color #a75a05, 990, end color #a75a05 grams, since we are trying to find the volume of the air within the shell.

Let's denote the ball's radius as rrr. Then, the \maroonD{\text{volume}}volumestart color #ca337c, start text, v, o, l, u, m, e, end text, end color #ca337c is \maroonD{\dfrac43\pi r^3}  

3

4

​  

πr  

3

start color #ca337c, start fraction, 4, divided by, 3, end fraction, pi, r, cubed, end color #ca337c.

Now we can plug \blueE{\text{density}=1.5}density=1.5start color #0c7f99, start text, d, e, n, s, i, t, y, end text, equals, 1, point, 5, end color #0c7f99, \goldE{\text{total quantity}=990}total quantity=990start color #a75a05, start text, t, o, t, a, l, space, q, u, a, n, t, i, t, y, end text, equals, 990, end color #a75a05, and \maroonD{\text{volume}=\dfrac43\pi r^3}volume=  

3

4

​  

πr  

3

start color #ca337c, start text, v, o, l, u, m, e, end text, equals, start fraction, 4, divided by, 3, end fraction, pi, r, cubed, end color #ca337c in the equation.

Answer:

B

Step-by-step explanation:

It is linear because x+15 is how the number increases. It does not tremendously add up.

Answer:

2.67 & -2.67 both have an absolute value of 2.67

Step-by-step explanation:

The absolute value is the distance between a number and zero. the distance between 2.67 and zero is 2.67, and the distance between -2.67 and zero is also 2.67.

24 divided by .5 or 1/2 (probably .5 tho)

Answer: 24 times 1-.5 divided by .5

Step-by-step explanation:

Answer:

(x - 8)² + (y - 1)² = 36

None of the above

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(x - 8)² + (y - 1)² = 6²

(x - 8)² + (y - 1)² = 36

Answer:

576

Step-by-step explanation:

Answer:

1478ft³

Step-by-step explanation:

12x12x12=1728 ft³

16(2.5x2.5x2.5)= 250ft³

1728-250=1478ft³

There are 1478ft³ left in the shed

Answer: 30 days

Step-by-step explanation: 5 x 6 = 30 and she has 500 sheets it would take her about 30 days

Ms. Bever uses 30 sheets of toilet paper per day. A roll of 500 sheets would last her approximately 16.67 days, which means it will last for 16 full days.

Ms. Bever uses 30 sheets of toilet paper per day since she uses the washroom 6 times and uses 5 sheets each time (5 sheets * 6 uses = 30 sheets per day).

To find out how many days a roll will last, we will calculate the number of total sheets divided by the sheets used per day. So, with a roll of 500 sheets, the calculation is 500 sheets / 30 sheets per day = approximately 16.67 days.

Since Ms. Bever cannot use two-thirds of a sheet, the toilet paper will last for 16 full days, with some extra sheets left over which aren't sufficient for another full day of use.

Answer: D

Step-by-step explanation:

The reason that justifies Step 2 in the proof is Vertical angles are congruent.

Therefore, the correct answer is C. Vertical angles are congruent.

Vertical angles are angles that are opposite each other when two lines intersect.

They are always congruent, regardless of whether the lines are parallel or not.

In the given diagram, angles ∠NQT and ∠SQR are vertical angles. Therefore, they are congruent, and Step 2 of the proof is justified.

The other answer choices are not correct:

A: Same-side interior angles are only congruent when the lines are parallel.

B: Corresponding angles are only congruent when the lines are parallel.

D: Alternate interior angles are only congruent when the lines are parallel.

Therefore, the correct answer is C. Vertical angles are congruent.

For similar question on Vertical angles.

https://brainly.com/question/14362353

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Answer:

<NPM + <NZM = 146°

Step-by-step explanation:

Given:

In triangle STU: M, N and P are the midpoints of the line TU, US and ST respectively.

Line UZ  is the altitude of the triangle STU

<TSU =71°, <TSU = 36°, <TUS = 73°

From the diagram:

N is the midpoint of line SU and M is the mid point of line UT.

∴ Line NM is parallel to line ST

P is the mid point of  line ST and M is the mid point of line UT

∴Line PM is parallel to line SU

N is the mid point of  line SU and P is the mid point of line ST

∴Line NP is parallel to line UT

Δ SPN = Δ STU = 36°

<SPN + <NPM + <MPT (Sum of angles in a triangle = 180°)

<UST = <MPT = 71°

36° + <NPM + 71° = 180°

<NPM + 107° = 180°

<NPM= 180°-107°

<NPM= 73°

In ΔSNZ, line SN = line NZ

∴ side SN = side NZ

< NSZ = <NZS = 71°

<MTZ = <MZT = 36°

<NZS + <NZM <MZT = 180°  (Sum of angles in a triangle = 180°)

71° + <NZM + 36° = 180°

107° + <NZM = 180°

<NZM = 180° - 107°

<NZM = 73°

<NPM + <NZM =73° + 73°

<NPM + <NZM = 146°

Answer:

134 minutes or 2 hours and 14 minutes

Step-by-step explanation:

Answer:

2 hours and 14 minutes

Step-by-step explanation:

Answer:

x is 1 and y is negative 2. (1, -2).

Step-by-step explanation:

Hope this helps!

ANSWER

X=1 and y=-1

Hopefully this is the correct answer

Answer: Angle MRN equals 11 degrees (11°)

Step-by-step explanation: Please see the picture attached for details.

The triangle MRN has been drawn such that angle N as shown equals 98 degrees. Then line NM has been extended and the exterior formed there is 109 degrees. That means angle M can be calculated as follows

Angle M = 180 - 109 {Angles on a straight line equals 180}

Angle M = 71

Now we have two angles given as angle N which is 98 degrees and angle M which is 71 degrees.

Angle MRN can now be calculated as follows;

∠ MRN = 180 - (71 + 98) {Sum of angles in a triangle equals 180}

∠ MRN = 180 - 169

∠ MRN = 11

Therefore angle MRN measures 11 degrees.

Answer:16

Step-by-step explanation:Take 98 and subtract it from 109