Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that
(28+45) -73
GOS
28
45
Which best describes Nadia's solution?

Answer:

x^ (21/5)

Step-by-step explanation:

[tex]\sqrt[5]{x ^7}[/tex]  ^ 3

Rewriting as a fraction

x ^ 7/5  ^3

We know that a ^b^c = a^ ( b*c)

x ^ ( 7/5 *3)

x^ (21/5)

Answer: That would be x and 21/5 ths

Step-by-step explanation:

The next number in the sequence is 8

Answer:

The answer is B.

Step-by-step explanation:

HOPE THIS HELPS U!!!

Given :

[tex]F(x)=3(x^2-1)[/tex]

To Find :

the absolute minimum and absolute maximum values of f on the given interval

[-1,2] .

Solution :

Now , getting first order differential equation and equating its equal to zero.

[tex]\dfrac{d(3x^2-3)}{dx}=0\\\\6x=0\\x=0[/tex]

So , x=0 is critical point .

Now , coefficient of [tex]x^2[/tex] is positive .

Therefore , it is increasing function after  x=0 .

So , min value will be at , x=0.

[tex]Min = (0^2-1)\times 3=-3[/tex]

And maximum value will be the maximum at the x=2 because it is increasing function .

[tex]Max=(2^2-1)\times 3=9[/tex]

Therefore , max and min value is 9 and -3 respectively .

Hence , this is the required solution .

Answer:

C. [tex]5 (\frac{x}{z}) ^1^0[/tex]

Step-by-step explanation:

Hey there!

Given

[tex]\frac{15 x^-^3 z^5}{3 x^7 z ^-^5}[/tex]

Well to solve this we first need to do 15 ÷ 3

= 5

When dividing exponents we actually subtract.

-3 - 7 = -10

5 - -5 = 10

[tex]5 x^-^1^0 z^1^0[/tex]

Hope this helps :)

Answer:

D.   5 (z/x)^10.

Step-by-step explanation:

15/3 = 5

x^-3 / x^7 = x^-10 = 1/x^10

z^5 / z^-5 = z ^10

So the answer is 5 * z^10 * 1/x^10

= 5 z^10 / x^10

= 5 (z/x)^10.

Answer:

3rd number = 30

2nd number = 7

1st number = 15

Step-by-step explanation:

(T) total of three numbers = 52

let 3rd number = 2 x

let 2nd number = x - 8

let 1st number = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 60 / 4

x = 15

therefore,

let 3rd number = 2 (15) = 30

let 2nd number = 15 - 8 = 7

let 1st number = 15

Answer:

3rd = 30

2nd  = 7

1st  = 15

Step-by-step explanation:

(T) total = 52

3rd  = 2 x

2nd = x - 8

1st = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 15

so

3rd = 2 (15) = 30

2nd  = 15 - 8 = 7

1st  = 15

Answer:

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

Step-by-step explanation:

Let x represent the number of 30-day periods.

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.

Therefore the equation =

$165 -$4 × x

= 165 - 4x.......... Equation 1

He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.

$145 -$3.50 × x

= 145 - 3.50x........... Equation 2

Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together

So, we have

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

We simplify further:

165 - 145 = -3.50 + 4.0x

20 = 0.5x

x = 20/0.5

x = 40

Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40

Answer:

93 degrees

Step-by-step explanation:

To find the angle, we need to find the angles inside of the triangle. The triangle is formed from the two lines with angles 127 and 146 at the base. It is surrounded by the 127, 146 and the ? angle.

We know that the line at the base is 180, so we need to find the supplementary angles that correspond to 127 and 146.

180-127= 53

180-146=34

We now know the two bottom angles inside the triangle are 53 and 34 degrees. The angles in a triangle always add up to 180 degrees.

180-53-34=93

We know the top angle is 93 degrees. The ? angle is vertical to 93. Vertical angles are always congruent. That means ? is 93 degrees

Answer:

93 degrees

Step-by-step explanation:

Focus on the small triangle at the lower right.

The supplement of the 127 degree angle is (180 - 127) degrees, or 53 degrees.  The supplement of the 146 degree angle is (180 - 146) degrees, or 34 degrees.

The interior angles of this small triangle must add up to 180 degrees.  The third angle of this small triangle is the "vertical angle" of the unknown angle:  

? + 53 + 34 = 180, so:  ? = 93

The unknown angle is now known to be 93 degrees.

Answer:

[tex]56[/tex]

Step-by-step explanation:

[tex]-7*(-8)[/tex]

The only one thing we have to do on this question is simplify.

[tex](-7)(-8)[/tex]

And this equals

[tex]56[/tex]

Now you got your answer!

Hope this helps!

The solution to the expression -7 times (-8) is 56

From the question, we have the following parameters that can be used in our computation:

-7 times (-8)

Express using product expression

So, we have

-7 times (-8) = -7 * -8

Evaluate all the products in the expression

so, we have the following representation

-7 times (-8) = 56/1

Evaluate all the quotients in the expression

so, we have the following representation

-7 times (-8) = 56

Lastly, we have

-7 times (-8) = 56

Hence, the solution is 56

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6

Answer:

[tex] \sqrt{49} \\ \sqrt{50} \\ \sqrt{63} [/tex]

Step-by-step explanation:

[tex] \sqrt{50} = 5 \sqrt{2} = 7.07 [/tex]

[tex] \sqrt{49} = 7[/tex]

[tex] \sqrt{63} = 3 \sqrt{7} = 7.94[/tex]

Answer:

Step-by-step explanation:

For a first order decay, fraction remaining = 0.5n where n = number of half lives elapsed.

fraction remaining = 55% = 0.55

0.55 = 0.5n

log 0.55 = n log 0.5

-0.2596 = -0.301 n

n = 0.8625 = # of half lives elapsed

0.8625 half lives x 2.5 billion years/half live = 2.16 billion years have elapsed = age of the rock

b)  0.15 = 0.5n

log 0.15 = n log 0.5

-0.824 = -0.301 n

n = 2.74 half lives

2.5 billion years/half life x 2.74 half lives = 6.85 billion years = age of rock

Answer:

24 marbles

Step-by-step explanation:

P( purple) = 2/3 = purple/total

                   2/3 = 16/total

Using cross products

                  2 * total = 3 *16

                    2 * total  = 48

                            total = 24

There are 24 marbles

Answer:

(3x-2y)(3x+2y)

Step-by-step explanation:

Proof:

(3x-2y)(3x+2y)-use FOIL method (First, Outer, Inner, Last)

3x*3x+2y3x-2y3x-2y*2y

9x^2+0-4y^2

9x^2-4y^2

The answer is (3x-2y)(3x+2y).

Answer:

7458

Step-by-step explanation:

I hope this helps you

I hope this helps you

Answer: D. Simple Random Sampling

Step-by-step explanation: When selection is made or based on chance which is equal or the same for all members within a population. In the scenario described above, there is no prior shuffling, arrangement or segregation of members within the population into groups or subgroups, rather the interviewed voters were chosen at random directly from within the larger population based on equal chance. Therefore voters already have their numbers, then using a random number generator, voters whose number corresponds were interviewed is a clear scenario of simple Random Sampling.

Using sampling concepts, it is found that the correct option is:

d. simple random sampling

Samples are classified as:

In this problem, a random number is generated to select each voter, hence it is a simple random sampling, and option d is correct.

To learn more about sampling concepts, you can take a look at https://brainly.com/question/25122507

Step-by-step explanation:

Average Cost to Mow a Lawn Per Square Foot

Most mowing pros do not charge by the square foot. For smaller properties, expect to pay between $0.01 and $0.04 per square foot.

National Average: $132

Typical Range: $49 - $219

Low End - High End: $30 - $520

Answer:

24 inches

Step-by-step explanation:

Because we know that Pablo drew a square, we can correctly assume that all sides have equal lengths. There are four sides to a square, so taking the number 6, 4 times (6*4) gives us 24!

Answer:

16 inches

Step-by-step explanation:

Note: it should say 56π inches instead of 56 inches otherwise no option is correct

Given

Full circumference of the wheel

Bike moves

The wheel turns:

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

Answer:

This report is valid

Step-by-step explanation:

We use this z score formula to solve for a question where a random number of samples is given:

z-score is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = number of samples

When σ/√n = Standard error

From the above question,

x = $48,574

μ = $48,432

σ = 2000

n = 400 families

z = $48, 574 -$48,432/(2000/√400)

= $48, 574 -$48,432/(2000/20)

= $48, 574 -$48,432/100

= 1.42

The z score is 1.42

H0 = μ = $48,432

At 0.05, we reject H0 if z < - 1.96 or > 1.96

z = 1.42

Therefore, H0 cannot be rejected.

The central limit theorem also holds because a sufficiently large amount of random samples (400) where taken from the population and replaced and this causes the mean to be randomly distributed.

Therefore, from the above z score, what we can conclude about the validity of the report is that the REPORT IS VALID because H0 cannot be rejected and the central limit theorem holds.

Answer:

F test = 2.54

Step-by-step explanation:

We are given two samples

Standard deviation of the first sample = 3.9288

Standard deviation of the second sample = 6.2597

F test statistic = Variance of the Larger sample/ Variance of the smaller sample

Variance = (Standard deviation)²

Variance for the first sample = 3.9288²

= 15.43546944

Variance for the second sample = 6.2597² = 39.18384409

F test = 39.18384409/15.43546944

= 2.5385586258

Therefore, the F test approximately = 2.54

Answer:

2.539

Step-by-step explanation:

Standard deviation of sample 1 = 3.9288

Standard deviation of sample 1 = 6.2597(

Standard deviation = √variance

Variance = (standard deviation)^2

Variance of sample 1 = (3.9288)^2 = 15.43546944

Variance of sample 2 = (6.2597)^2 = 39.18384409

For two samples:

F stat = (variance 1) / (variance 2)

Since the variance of sample is large, we place it in th e numerator

F stat = (39.18384409) / (15.43546944)

F stat = 2.5385586

F stat = 2.539

Answer:

See below.

Step-by-step explanation:

So we have the equation:

[tex]7m+11=-4(2m+3)[/tex]

Distribute the right:

[tex]7m+11=-8m-12[/tex]

Add 12 to both sides:

[tex]7m+23=-8m[/tex]

Subtract 7m from both sides:

[tex]23=-15m[/tex]

Divide by -15:

[tex]m=-23/15\approx-1.5333[/tex]

Answer:

2

Step-by-step explanation:

9= 18 ÷x

Multiply each side by x

9x = 18

Divide each side by 9

9x/9 = 18/9

x = 2

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]9=18[/tex] ÷ [tex]?[/tex]

Let's solve your equation and make it true.

[tex]9+9=18[/tex]

Since we added 9 twice, it would be *2. So now it would be 9*2 = 18. So 18 divided by 9 would be 2.

So, [tex]9=18[/tex] ÷ [tex]2[/tex]

So now you got your answer!

Hope this helps!

calculate the percentage increase,work out the difference (increase) between the two numbers you are comparing. Then divide the increase by the original number and multiply the answer by 100.  

520-500 = 20

20÷500 =.04

.04 ×100= 4%

One way to determine this is to take the difference of numbers.

If the difference results in 0 then we can assume numbers that we subtracted are the same, mathematically:

[tex]a-a=0\implies a = a[/tex]

So,

[tex]9324-9234=90\implies 9324\neq9234[/tex].

Hope this helps.

Step-by-step explanation:

9,324 have a different value than 9,234 because 9,324 is greater than 9,234.

9,324-9,234=90

9,324 is 90 more than 9,234.

Answer:

See below

Step-by-step explanation:

21. Name 8 different rays.

22. Name 2 pairs of opposite rays.

23. Name 2 lines that intersect at point Z.

24. Draw three noncollinear points A, B, and C. Sketch. AB Then add a point D and  sketch CD so that CD intersects AB at point B.

Answer:

-13

Step-by-step explanation:

Answer:

the answer would be 16 to 3 which can also be shown as 16:3

Step-by-step explanation:

this is because it is asking for candles first so you put 16 next they ask for books so that is why you put 3 next

Answer:

[tex]Probability = \frac{18}{1860480}[/tex]

Step-by-step explanation:

Given

Soda = 10

Sprite = 4

Dr. Pepper = 3

Cherry Coke = 3

Required

Determine the probability of picking Dr. pepper the fourth and fifth

First, we need to sum up the number of drinks

[tex]Total = 10 + 4 + 3 + 3[/tex]

[tex]Total = 20[/tex]

First Selection: Dr. Pepper

[tex]P_1= \frac{3}{20}[/tex]

Since its probability without replacement;

At this stage: Dr. Pepper = 2 and Total = 19

Second Selection: Cherry Coke

[tex]P_2= \frac{3}{19}[/tex]

At this stage: Dr. Pepper = 2; Cherry Coke = 2 and Total = 18

Third Selection: Cherry Coke

[tex]P_3= \frac{2}{18}[/tex]

[tex]P_3= \frac{1}{9}[/tex]

At this stage: Dr. Pepper = 2; Cherry Coke = 1 and Total = 17

Fourth Selection: Dr. Pepper

[tex]P_4= \frac{2}{17}[/tex]

At this stage: Dr. Pepper = 1; Cherry Coke = 1 and Total = 16

Fifth Selection: Dr. Pepper

[tex]P_5= \frac{1}{16}[/tex]

Multiply the calculated probabilities, to give the required probability

[tex]Probability = P_1 * P_2 * P_3 * P_4 * P_5[/tex]

[tex]Probability = \frac{3}{20} * \frac{3}{19} * \frac{1}{9} * \frac{2}{17} * \frac{1}{16}[/tex]

[tex]Probability = \frac{3 * 3 * 1 * 2 * 1}{20 * 19 * 18 * 17 * 16}[/tex]

[tex]Probability = \frac{18}{1860480}[/tex]

[tex]11v+9=11\cdot5+9=55+9=64[/tex].

Hope this helps.

Answer:

64

Step-by-step explanation:

9v + 9 + v + v

Combine like terms

11v+9

Let v = 5

11*5+9

55+9

64