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simplified the expression 6^8/6^10 select all that apply brainly

Answer:

92

Step-by-step explanation:

10.00000000000000000 is the same as just 10

so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80

no add the first value.

12+80=92

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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The number of gallons of liquid that Courtney bought is 2 gallons.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given that,

Amount of milk bought = 2 quarts

Amount of orange juice bought = 4 quarts

Amount of apple juice bought = 2 quarts

Total amount of liquid bought = 2 + 4 + 2 = 8 quarts

We have the conversion,

1 quart of liquid = 0.25 gallon of liquid

Total amount of liquid bought in gallons = 8 × 0.25 = 2 gallons

Hence the total amount of liquid bought is 8 gallons.

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The probability P(no heart disease | normal cholesterol) according to the two way frequency table is : 0.971

P(no heart disease | normal cholesterol) ;

Let :

No heart disease = N

Normal cholesterol = C

Recall that the conditional probability ;

P(A|B) = P(AnB) / P(B)

Hence,

P(N | C) = p(N n C) / p(C)

From the two way table :

P(N | C) = 367 / 378

P(N | C) =  0.9708

P(N | C) = 0.971 (3 decimal places)

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Answer:

Two integers are relatively primes if and only if their only common positive integer factor is 1.

Step-by-step explanation:

The prime number is one whose only divisor is 1 and itself.

The prime factors of a whole number are the exact prime divisors of that whole number. In other words, every composite number can be written as a multiplication of two or more prime factors.

So, two integers are relative primes if they have no prime factor in common, or, put another way, if they have no common divisor other than 1.

So, two integers are relatively primes if and only if their only common positive integer factor is 1.

Using the tangent ratio, the value of x, to the nearest tenth, is: 5.5.

Given a right triangle with a missing length, x, we have the following:

∅ = 70°

Opposite side length = 15

Adjacent side length = x

The tangent ratio to be applied is:

Tan ∅ = opp/adj

Plug in the values

Tan 70 = 15/x

x(tan 70) = 15

x = 15/tan 70

x ≈ 5.5

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Answer:

True

Not true

true

True

Step-by-step explanation:

Answer:

26 meters

Step-by-step explanation:

To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters

Answer:

x midpoint 4.5  y midpoint -6

Step-by-step explanation:

Answer:

(9/2, -6)

Step-by-step explanation:

Midpoint formula: (x1+x2/2, y1+y2/2)

Answer:

18.75

Step-by-step explanation:

Answer:

75/4 decimal form 18.75 mixed number form    18 3/4

Step-by-step explanation:

Brainliest

The expressions are illustrated below.

3x = 12

x = 12/3

x = 4

x + 4 = 17

x = 17 - 4

x = 13

9y + 3 = 21

9y = 21 - 3

9y = 18

y = 18/9

y = 2

x ÷ 2 = 4

x = 4 × 2

x = 8

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Answer:

its B

Step-by-step explanation:

Fertilizer B is likely more effective than Fertilizer A.

The correct answer is option C: Fertilizer B will outperform Fertilizer A every time.

In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the quantity of observations).

To draw a conclusion from the experiment, we need to analyze the data. We can calculate the mean heights of the seedlings for each fertilizer.

For Fertilizer A: (19.8+25.7+29.0+23.2+27.8+31.1+26.5+24.7+21.3+25.6)/10 = 25.67

For Fertilizer B: (23.4+30.1+28.5+26.3+32.0+29.6+26.8+25.2+27.5+30.8)/10 = 28.89

Based on the data, it appears that the seedlings treated with Fertilizer B had, on average, a greater height than those treated with Fertilizer A.

Therefore, we can conclude that Fertilizer B is likely more effective than Fertilizer A.

The correct answer is option C: Fertilizer B will outperform Fertilizer A every time.

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Answer:

• from first principles rule:

\({ \boxed{ \bf{ \frac{ \delta y}{ \delta x} = {}^{lim _{x} } _{h \dashrightarrow0} \: \frac{f(x + h) - f(x)}{h} }}}\)

• f(x) → (csc x)^½

• f(x + h) → {csc (x + h)}^½

\({ \rm{ \frac{ \delta y}{ \delta x} = {}^{lim _{x} } _{h \dashrightarrow0} \: \frac{ \{\csc(x + h) \} {}^{ \frac{1}{2} } - (\csc x ) {}^{ \frac{1}{2} } }{h} }} \\ \\ \hookrightarrow \: { \tt{rationalise : }} \\ \\ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{ \csc(x + h) - \csc x }{h \{ \{\csc(x + h) \} {}^{ \frac{1}{2} } + ( \csc x) {}^{ \frac{1}{2} } \} } }} \\ \\ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{1 - (\sin (x + h))( \csc x)}{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } }}} \\ \\ = { \rm{ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{1 - ( \sin(x) \cos(h) + \cos(x) \sin(h)) \csc x }{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } }}} }} \\ \\ = { \rm{ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{1 - \cos(h) + \cot(x) \sin(h) }{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } }}} }} \\ \\ { \tt{but : \sin(h) \approx h}} \\ { \tt{ : \cos(h) \approx 1 }} \\ \\ = { \rm{{{}^{lim _{x} } _{h \dashrightarrow0 \: } \: \frac{h \cot(x) }{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } } }}} \\ \\ { \tt{h \: tends \: to \: 0}} \\ \\ { \boxed{ \rm{ \frac{dy}{dx} = - \frac{1}{2 \sqrt{ \cot(x) \csc(x) } } }}}\)

Answer:good luck

Step-by-step explanation:

The amount that you need to save per month to fund the emergency fund would be $ 861. 58.

The discretionary money left per month would be $ 585. 88.

The gross income for the month :

= 17. 50 x 40 per week x 4 weeks a month

= $ 2, 800

The amount left which is realized funds for the month is:

= Gross income - FICA + Federal tax withholding + State tax withholding

= 2, 800 x ( 1 - 26. 15 %)

= $ 2, 067. 80

Five months of realized income for the emergency fund is:

= 2, 067. 80 x 5

= $ 10, 339

The amount to save per month is:

= 10, 339 / 12

= $ 861. 58

The amount left per month for discretionary expenses ;

= 2, 067. 80 - 861. 58 - 620. 24 rent

= $ 585. 88

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The rectangle has a length of 8 units along the top and bottom sides, and a height of 6 units along the vertical sides.

A rectangle is a four-sided flat shape with four right angles (90 degree angles) between the sides. It is a type of quadrilateral, which means a shape with four sides.

To find the length of the sides of the rectangle, we can use the distance formula:

d = √((x2 - x1)²+ (y2 - y1)²)

Using the coordinates (-4,4) and (4,4) for the two endpoints of the top side of the rectangle, we get:

d = √((4 - (-4))² + (4 - 4)²) = 8

Since the top side has length 8 and there are two top and two bottom sides of equal length, the perimeter is:

20 = 28 + 2L

where L is the length of one of the vertical sides. Solving for L, we get:

L = (20 - 2*8)/2 = 2

Therefore, the length of the vertical sides of the rectangle is 2 units.

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The length of rectangle is 8 units on the x-axis, and the width of rectangle is 4 units along the y-axis.

The whole distance encircling a rectangle's edge is known as its perimeter. It is the total of the measurements of the rectangle's four sides.

The formula for calculating the perimeter P of a rectangle with length L and width W is as follows:

P = 2L + 2W

According to question:

To find the length of the sides of the rectangle, we can use the distance formula:

\(d = \sqrt{((x_{2} - x_{1} )^2+ (y_{2} - y_{1})^2)}\)

Using the coordinates (-4, 4) and (4, 4)

\(d = \sqrt{((4 - (-4) )^2+ (4 - 4)^2)}\) = 8 units

L (length) = 8 Units

So, the length of the horizontal sides (x-axis) of the rectangle is 8 units.

then, the top side has length 8 and there are top and bottom sides are equal length, the perimeter is: P = (8+8) + 2W

20 = 16 + 2W

where, L is the length of one of the vertical sides. Solving for L, we get:

W = (20 - 16)/2 = 2

So, the length of the vertical sides (y-axis) of the rectangle is 2 units.

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Answer:

the required answer are -8,0,4

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

The foreman works approximately 44 hours in a 5−day workweek.

Step-by-step explanation:

In one day the dock foreman works the following hours:

\(t = (11 h + 01 min*\frac{1 h}{60 min}) - (5 h + 30 min*\frac{1 h}{60 min}) + 15 h + 20 min*\frac{1 h}{60 min} - 12 h = 8.85 h = 8 h + 51 min\)

Now, in 1 5-day work week the man works:

\(T = 5*t = 5*8.85 h = 44.25 h = 44 h + 15 min\)

Therefore, the foreman works approximately 44 hours in a 5−day workweek.

I hope it helps you!        

Based on the miles that each car can travel on, the unit rate of miles per gallon for each car is:

The car that can therefore travel the greater distance on 1 gallon of gasoline is the Blue car.

The blue car can travel 38.5 miles on 1.25 gallons of gasoline. The unit rate is:
= 38.5 / 1.25

= 30.8 miles per gallon

The red car can travel 22/5 miles on 0.80 gallons of gasoline so the unit rate is:

= 22/5 ÷ 0.80

= 5.5 miles per gallon

The blue car can therefore travel the greater distance on 1 gallon of gasoline.

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Answer:

Percentage of the circle that lies outside the triangle = 15%

Step-by-step explanation:

Given,

The area of the intersection of circle and triangle is 45% of the area of the union.

The area of the triangle outside of the circle is 40% of the area of their union.

Required to find,

The percentage of the circle lies outside the triangle

Let us take 'C'  as the area of the circle and 'T' as the area of the triangle.

The union of the area of the circle and triangle = C∪T

Let CUT be  A

and the percentage of the circle that lies outside the triangle be 'x'

The intersection of the area of the circle and triangle = C∩T

Area of the triangle outside the circle = T - C

Area of the circle outside the triangle = C - T

Given,

C∩T = 45% of CUT = 45% of A

T - C = 40% of CUT = 40% of A

We know that,

The union of the area of the circle and triangle = Area of The intersection of the area of the circle and triangle + Area of the triangle outside the circle + Area of the circle outside the triangle

(CUT) = (C∩T) + (T - C) + (C - T)

\(A = 45\%A + 40\%A + x\%A\)

\(A = (85+x)\% A\)

\(85 +x = 100\)

∴ \(x = 15\)

Percentage of the circle that lies outside the triangle = 15%

Since the input value of domain -4 has two different output values (7 and 6), the relation is not a function.

By definition, a relation is a function if each input value has only one output value.

Given the relation:

(-4,6)

(-4,7)

(6,5)

(7,9)

The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):

domain ={-4 ,6,5}

The range is the set of the y-coordinates of each ordered pair :

range=  {6,7,5,9}

Since the input value 4 has two different output values (7 and 6), the relation is not a function.

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The other rational number is -23/60.

So, the other rational number is:

We know that,

Now, get the other number as follows:

Therefore, the other rational number is -23/60.

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Answer:

picture?

Step-by-step explanation:

Answer:

Visualise the answer as a 90 degree angle, pointing downward (left side going up/left at 45 degrees, and right side going up/right at 45 degrees), with the corner falling on point 0, 3.

With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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Check the picture below.

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

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The graph of each given piecewise function is shown below .

In the question,

a piece wise function is given ,

we have to sketch the graph of the piecewise function ,

the piecewise function f(x) is  = \(\left \{ {-2x-1 , {x\leq 2} \atop -x+4 , {x > 2}} \right.\)

when x ≤ 2 ,

we put x =2 , we get , f(2) = -2*2-1  = -5 .

So , the point is (2,-5) .

when we put x = 0 , f(0) = -2*0 - 1 = -1

so , the second point is (0,-1) .

Now , for x>2  

we put x= 4 , we get f(4) = 0

the point will, be (4,0)

we put x = 6 , we get , f(6) = -2 .

the point will be = (6,-2) .

On plotting all the four points , we get the graph as sketched below .

Therefore , the given piecewise function's graph is shown below.

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Given:

Score in first round = 5 points

Score in second, third and fourth rounds was identical.

A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round.

To find:

The inequality for the given problem.

Solution:

Let p be the number of points, p, that Steward scored in each of the second, third, and fourth rounds.

Score in first 4 rounds = Score of 1st round + Score of 2nd round + Score of  1s 3rd round + Score of 4th round

Score in first 4 rounds \(=5 + p + p + p\)

                                     \(=5 +3p\)

A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. It means the total score in first 4 rounds must be greater than or equal to 30.

\(5+3p\geq 30\)

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation: