Simplify: 80÷4−2(2+1)2

Answer:

[tex]S=\{\forall \,s,t\in \mathbb{R}|s\in(-\infty,+\infty), t\in(-\infty,+\infty)\}[/tex]

Step-by-step explanation:

Let be [tex]f(s,t) = \sqrt{s^{2}+t^{2}}[/tex], the range of a square root compehends the subset of positive real numbers plus zero. Likewise, the range of the square of any number has the same subset with all real set as domain. As square root encloses a sum of squares, the domain of the function is:

[tex]S=\{\forall \,s,t\in \mathbb{R}|s\in(-\infty,+\infty), t\in(-\infty,+\infty)\}[/tex]

Adding a negative number is the same as subtracting a positive number.

4 + (-6)

= 4 - 6

= -2

Best of Luck!

Answer:

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

Step-by-step explanation:

Intern            No. of Breast

Number        Exams Performed               X²

1                         30                                  900

2                        40                                 1600

3                        8                                        64

4                        20                                   400

5                          26                                 676

6                           35                               1225

7                            35                               1225

8                            20                                400

9                             25                              625

10                                 20                        400

                                  ∑ 259                  ∑ 7515

Mean= X`= ∑x/n= 259/10= 25.9

Variance = s²= 1/n-1[∑X²- (∑x)²/n]

= 1/0[7515- (259)²/10]= 1/9[7515- 6708.1]

= 806.9/9=89.655= 89.66

Standard Deviation= √89.655= 9.4687

Hence

The value of t with significance level alpha= 0.05 and 9 degrees of freedom  is t(0.025,9)= 2.262

The 95 % Confidence interval is given by

x`±t(∝,n-1) s/√n

So Putting the values

25.9± 2.262( 9.4687/√10)

= 25.9 ±2.262 (2.9943)

= 25.9 ± 6.7730

= 25.9 +6.7730=32.6730

25.9 -6.7730= 19.1269

= 19.1269, 32.6730

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

Answer:

Volume=355 cm³

Step-by-step explanation:

I assume it should be 10 cm, not 10 m.  If it is 10 m, everything will have to be adjusted.

Circumference = 2[tex]\pi[/tex]r

10=2[tex]\pi[/tex]r

10÷2[tex]\pi[/tex]=r

1.59=r

V=[tex]\pi[/tex]r²h

V=[tex]\pi[/tex](1.59)(71)

v=355

Answer:

Step-by-step explanation:

5 nights

The family have to stay 5 nights in order  to cost the same amount of money.

Let us consider that family is staying for x night.

Given that, Option A costs $479 per night and includes airfare in the cost.

So that,         [tex]A(x)=479x[/tex]

Also Option B costs $129 per night but will cost your family $1750 in airfare.

So that,      [tex]B(x)=129x+1750[/tex]

for the cost of same amount of money,

              [tex]A(x)=B(x)\\\\479x=129x+1750\\\\479x-129x=1750\\\\350x=1750\\\\x=1750/350=5[/tex]

The family have to stay 5 nights in order  to cost the same amount of money.

Learn more about the linear function here:

https://brainly.com/question/15602982

Answer:

Step-by-step explanation:

From the question the figure above is a triangle.

The sum of angles in a triangle add up to 180°

To find the value of x add up all the angles and equate them to 180 to find the value of x

We have

50 + 2x + 3x - 10 = 180

5x + 40 = 180

5x = 180 - 40

5x = 140

Divide both sides by 5

We have the final answer as

Hope this helps you

Answer:

I think c=a-7

Step-by-step explanation:

You would the equation a=b+9 to b=a-9. Then you would add 2 to -9 to get -7. So c=a-7.

Answer:

1) 0.16 mg of pure heparin is in 80 Howell units

2) the loading dose, in mg of heparin for the 5-year-old boy is 2.618 mg

Step-by-step explanation:

Given that;

if a patient is less than 70 years of age then loading dose is 80 Howell units square per Kg of DM,

One Howell unit is equivalent to 0.0020 mg of pure heparin

1)

how many mg of pure heparin is in 80 Howell units.

that will be;

80 × 0.0020 = 0.16 mg

therefore 0.16 mg of pure heparin is in 80 Howell units

2)    

First we find the dosing mass

so dosing mass = body weight of the 5year old boy × 90%

from the question his total body weight of 40 lbs and  1 kg = 2.20 lbs

so

dosing mass = 40lbs × 1kg/2.20lbs × 90/100

dosing mass(kg) = 16.37 kg

Now to calculate the Loading dose we say;

Loading dose = dosing mass × heparin required per kg

Loading dose = 16.36 kg × 0.16 mg heparin per 1kg

loading dose = 2.618 mg heparin

therefore the loading dose, in mg of heparin for the 5-year-old boy is 2.618 mg

Yes, considering the points, each input gives one output. Points would not be a function if the same input gave different outputs.

In the context of a graph, the points would be on the same vertical line.

Hope this helps.

頑張って!

Answer:

Yes

Step-by-step explanation:

A function is where there are no two of the same domain.

The Domain is the first coordinate which is x

Subtract the functions to get that answer

(f - g)(x) = f(x) - g(x)

(f - g)(x) = [ f(x)  ] - [ g(x) ]

(f - g)(x) = [ 3^x + 10x  ] - [ 5x - 3 ]

(f - g)(x) = 3^x + 10x - 5x + 3

(f - g)(x) = 3^x + 5x + 3

Answer:

3^x+5x+3

Step-by-step explanation:

Answer:

1 is c

2 is d

3 is a

Step-by-step explanation:

because 9×9 is 81

2 is 10 with 3 0 so 10000

d is a because that is the factor tree

The square of the number 9 is 81.

We need to find the value of 9 squared.

When an integer is multiplied by itself, the resultant number is known as its square number. Basically, a square number is a number that is obtained by the product of two same numbers.

Now, the square of 9 is 9²=9×9=81

Therefore, the square of the number 9 is 81.

Simplify 10³:

That is, 10³=10×10×10=1000

So, the simplified form of 10³ is 1000.

We need to prime factorise 96:

That is, 96=2×2×2×2×2×3

=[tex]2^{5} . 3[/tex]

Therefore, the square of the number 9 is 81.

To learn more about the square of a number visit:

https://brainly.com/question/17749819.

#SPJ2

Answer:

Step-by-step explanation:

(-1 - 2)/(0 + 1) = -3/1 = -3

y + 1 = -3(x - 0)

y + 1 = -3x + 0

y = -3x - 1

Answer: [tex]2\frac{2}{9}[/tex]

Convert all Mixed Numbers into an Improper Fraction

Multiply 1×3 and get 3. Now add 3+1 and get 4.

1 1/3 = 4/3

Do Keep Change Flip (KCF)

Keep: 4/3

Change: ÷ into ×

Flip: 3/5 into 5/3

Multiply

[tex]\frac{4}{3}*\frac{5}{3}=\frac{20}{9}[/tex]

Divide

[tex]\frac{20}{9}=2\frac{2}{9}[/tex]

Q: How does 20/9 equal 2 2/9?

A: Divide 9 and 20 and get 2 r2 (r = remainder). The 2 becomes the mixed number. The remainder becomes the numerator. 9 becomes the denominator.

Answer:

(-1,5)

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Answer:

its A  (-1,5)

Step-by-step explanation:

Answer:

im not real sure but i wish i could help

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{ - 4}{5} }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{8 - 12}{2 + 3} }[/tex]

Subtract 12 from 8

[tex] \dashrightarrow{ \sf{ \frac{ - 4}{2 + 3} }}[/tex]

Add the numbers : 2 and 3

[tex] \dashrightarrow{ \sf{ \frac{ - 4}{5} }}[/tex]

Hope I helped!

Best regards! :D

Answer:

1992.38

Step-by-step explanation:

The mean, or average, of a set of data points is found by adding all the values together and dividing by the number of values.

Sum:

1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14 = 23908.56

Divide:

There are 12 numbers, so divide 23908.56 by 12:

23908.56 / 12 = 1992.38

The average is thus 1992.38.

~ an aesthetics lover

Answer:

1992.38

Step-by-step explanation:

To find the mean, simply add all the numbers together, and divide by the amount of numbers there is:

(1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14)/12 = (23908.56)/12 = 1992.38

1992.38 is your answer.

~

Answer:

Yes.(16.088m combined jump)

Step-by-step explanation:

Combining jumps=4.76+5.428+5.9=16.088

16.088>16

Therefore Juan qualified for the competition

Answer:

m∠MON = 24°

Step-by-step explanation:

m∠LOM and m∠MON add up to 90°.

Step 1: Find x

2x + 46 + 3x - 6 = 90

5x + 40 = 90

5x = 50

x = 10

Step 2: Find m∠MON

m∠MON = 3x - 6

m∠MON = 3(10) - 6

m∠MON = 30 - 6

m∠MON = 24°

Answer: 9

Step-by-step explanation:

Tₙ ₊ ₁  < 0.001

1 / ( (n+1) 3 +1 ) < 0.001

(n+1)3 + 1 > 1000

(n+1)3 > 999

n+1 > 9.9966

n = 8.9966 => n = 9

I should take n = 9 to be sure that the error is less than 0.001.

Answer:

18 I guess

Step-by-step explanation:

because we are subtracting all the number by 8

To find the common difference since all the values go done, we can subtract each value.

57 - 49 = 8

49 - 41 =  8

41 - 33 = 8

33 - 25 = 8

The common difference is 8 so to find the next number, all we need to do is subtract the last number by 8.

25 - 8 = 17

Therefore, the answer is 17

Best of Luck!

Answer:

(3, 1)

Step-by-step explanation:

Midpoint of the diameter is the center

Since endpoints are (9, 7) and (-3, -5)

Midpoint will be:

So the center is (3, 1)

Answer:

(3, 1)

Step-by-step explanation:

Midpoint of the diameter is the center

Since endpoints are (9, 7) and (-3, -5)

Midpoint will be:

((9 - 3)/2, (7-5)/2) = (3, 1)

or 3/1, 2/2 = (3,1)

So the center is (3, 1)

Answer:

8 movies and 6 video games

Step-by-step explanation:

Given

[tex]Gift\ Card = \$600[/tex]

[tex]Movies =\ $20[/tex]

[tex]Video\ Game = \$50[/tex]

[tex]Minimum\ Items = 13[/tex]

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 2: 14 movies and 7 video games

[tex]Cost = 14 * \$20 + 7 * \$50[/tex]

[tex]Cost = \$280 + \$350[/tex]

[tex]Cost = \$630[/tex]

This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.

Option 3: 2 movies and 10 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 4: 8 movies and 6 video games

[tex]Cost = 8 * \$20 + 6 * \$50[/tex]

[tex]Cost = \$160 + \$300[/tex]

[tex]Cost = \$460[/tex]

Hence, the correct option is 8 movies and 6 video games

Answer:

P(n)= p0 + 11(n)

Where p0= population of week 0

P(n) = population of n weeks

n= number of weeks

Step-by-step explanation:

Population of beetles in Week 0= 6

Population of beetles in Week 7= 83

From week 0 to week 7 there are 8 weeks.

But subtracting population of week 0 from population of week 7 gives

= 83-6

= 77

After the subtraction, we have 7 weeks remaining.

Dividing the remaining population by the number of weeks remaining

=77/7

= 11

For n number of weeks, population p of beetles

P(n)= p0 + 11(n)

Where p0= population of week 0

P(n) = population of n weeks

n= number of weeks

Steps to solve:

2 * (3 - 1) + 3

~Simplify

2 * (2) + 3

~Multiply

4 + 3

~Add

7

Best of Luck!

Answer:

The answer is

Step-by-step explanation:

[tex]w(t) = - 2t + 1[/tex]

To find w(- 7) substitute the value of t that's - 7 into w(t) that's for every t in w(t) replace it with - 7

That's

[tex]w( - 7) = - 2( - 7) + 1 \\ = 14 + 1[/tex]

We have the final answer as

Hope this helps you

Answer:

w=15

Step-by-step explanation:

w(t)=−2t+1

w(−7)=−2(−7)+1

=14+1

=15

Answer:

5/12

Step-by-step explanation:

Subtract.

[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{12}[/tex] = [tex]\frac{5}{12}[/tex]

You can not simplify, so that is your answer.

Here to help!

Answer:

5/12

Step-by-step explanation:

6-1/12

5/12