If you live in Portland, you live in Oregon. Cara does not live in Oregon. Therefore, Cara does not live in Portland.


a.) Overlapping Sets
b.) Subsets
c.) Disjoint Sets

Please somebody help me

Answer:

D (6, 21)

Step-by-step explanation:

Since the ratio of the corresponding values of x and y given in the table is 2 : 7

So, 6/ 21 = 2/7 = 2: 7

Thus, D (6, 21) is the correct answer.

The answer is letter H

Answer:

2,154,600

Step-by-step explanation:

Answer:

i2 - 9

-85

Step-by-step explanation:

Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85

Taking their product

(2i+9)(2i-9)

Expand

2i(2i)-9(2i)+9(2i)+9(-9)

=  4i²-18-+18i-81

= 4i² - 81

Since i² = -1

= 4(-1) - 81

= -4-81

= -85

Hence the product will give -85

Answer:

x = 7

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following equation:

21/(3x - 12) = 14/6

21/(3x - 12) = 7/3

Cross multiply

(3x - 12)*7 = 3*21

21x - 84 = 63

21x - 84 + 84 = 63 + 84

21x = 147

21x/21 = 147/21

x = 7

Answer:

x - 5 < -2

Answer is there

Answer:2x-6

Step-by-step explanation:

simplify the expression

2x-6

Answer:

2x - 6

Step-by-step explanation:

(x − 3)2

2 · x = 2x

2 · (-3) = -6

Combined:

2x - 6

Answer:

A is >

B is >

C is =

I hope this helps you.

Answer:

5

6

Step-by-step explanation:

To solve, collect like terms

x ≥ 2 + 21/2

x ≥ 4 1/2

the whole number that would be greater than 41/2 would be 5

2.  2.7 + 3.3  > x

6 > x

Answer:

69

Step-by-step explanation:

both edges equal 90 degrees

90 plus 90 plus 111 =291

360-291

Answer:

As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

Option 1:

Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X

79 + 62H + 15H = X

Option 2:

Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X

79 + ((62 + 15) x H) = X

Given:

The figure of triangle GHI and a circle M inscribed in the triangle.

To find:

The perimeter of the triangle.

Solution:

We know that the lengths of the tangent on a circle from same exterior point are always equal.

[tex]JH=HK[/tex]             (Tangent from point H)

[tex]6x-11=2x+9[/tex]

[tex]6x-2x=11+9[/tex]

[tex]4x=20[/tex]

Divide both sides by 4.

[tex]x=\dfrac{20}{4}[/tex]

[tex]x=5[/tex]

Now,

[tex]JH=6x-11[/tex]

[tex]JH=6(5)-11[/tex]

[tex]JH=30-11[/tex]

[tex]JH=19[/tex]

In the same way,

[tex]GJ=GL[/tex]             (Tangent from point H)

[tex]IK=IL[/tex]             (Tangent from point H)

From the figure, it is clear that,

[tex]IL=GI-GL[/tex]

[tex]IL=40-GJ[/tex]

[tex]IL=40-23[/tex]

[tex]IL=17[/tex]

The perimeter of the triangle GHI is:

[tex]Perimeter=GH+HI+GI[/tex]

[tex]Perimeter=(GJ+HJ)+(HK+IK)+(GL+IL)[/tex]

[tex]Perimeter=(23+19)+(19+17)+(23+17)[/tex]

[tex]Perimeter=118[/tex]

Therefore, the perimeter of the triangle GHI is 118 units.

9514 1404 393

Answer:

  1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625

Step-by-step explanation:

An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...

  1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05

This multiplication expression is evaluated in the usual way.

  = 1.1025 × 1.05 × 1.05 × 1.05

  = 1.157625 × 1.05 × 1.05

  = 1.21550625 × 1.05

  = 1.2762815625

__

All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is [tex]\displaystyle \boxed{y^x}[/tex]. The particulars of the function of this button can be found in the manual for your calculator.

For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)

Answer:

4b - 5

is the answer

Hi there!

[tex]\large\boxed{cos(\frac{\theta}{2} )= \frac{3}{\sqrt{7}}}[/tex]

[tex]\large\boxed{tan(\frac{\theta}{2}) = \frac{\sqrt{5}}{3}}[/tex]

Begin by recalling that:

sin(θ) = O/H,  so:

Opposite side = 3√5

Hypotenuse = 7

We can solve for the adjacent sign using the Pythagorean Theorem:

7² = (3√5)² + b²

49 = 45 + b²

b² = 4

b = 2.

Thus, cosθ = 2/ 7

Use the half angle identity to solve for cos(θ/2):

cos(θ/2) = √(1 + cosθ)

Plug in the value of cosθ:

= √(1 + 2/7) = √9/7, or 3 /√7

Thus:

[tex]cos(\frac{\theta}{2}) = \frac{3}{\sqrt{7}}[/tex]

Calculate tan(θ/2) using the same process but with a different formula:

tan(θ/2) = √(1 - cosθ / 1 + cosθ)

Substitute in the value of cosθ:

tan(θ/2) = √(1 - 2/7)/(1 + 2/7)

= √(5/7)/(9/7) = √5/9 = √5/3

Answer:

450ft

Step-by-step explanation:

In the picture

Answer:

12%

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents.        (4.62$)

Step-by-step explanation:

Answer:

The area of the circle is 71.62m²

Step-by-step explanation:

hope is right

let me know if it is correct

A=C2

4π=302

4·π≈71.61972m²

Answer:

Whats the question to this problem? Do you want to know if it's correct?

i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!

Step-by-step explanation:

Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!

Answer:

learning task 3.4

1) p-3

2) (8÷d)+6

3) 11-(9×4)

4) 4÷2

5) (10+6)÷4

Answer:b=7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(3b−1)=40

(2)(3b)+(2)(−1)=40(Distribute)

6b+−2=40

6b−2=40

Step 2: Add 2 to both sides.

6b−2+2=40+2

6b=42

Step 3: Divide both sides by 6.

6b/6=42/6

b=7

Answer:

[tex]{a}^{3} + {b}^{3} [/tex]

[tex] = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

Hence, simplified

This question is incomplete, the complete question is;

Suppose that a random sample of eighteen recently sold houses in a certain city has a mean sales price of $280,000, with a standard deviation of $10,000. Under the assumption that house prices are normally distributed, find a 95% confidence interval for the mean sales price of all houses in this community. Then find the lower limit and upper limit of the confidence interval.

Answer:

At 95%, confidence interval is ( 275026.7, 284973.3 )

Hence;

Lower limit = 275026.7

Upper limit = 284973.3

Step-by-step explanation:

 Given that;

mean x = $280,000

standard deviation σ = $10,000

sample size n = 18

degree of freedom df = n - 1 = 18 - 1 = 17

∝ = 1 - 95% = 1 - 0.95 = 0.05  

so

Critical t value = tinv( 0.05, 17 ) = 2.11

now, at 95% confidence interval for mean will be;

⇒ x ± [ Critical t value × ( σ/√n) ]

so we substitute

⇒ 280,000 ± [  2.11 × ( 10000/√18) ]

⇒ 280,000 ± [  2.11 × 2357.0226 ]

⇒ 280,000 ± 4973.3

⇒ 280000 - 4973.3, 280000 + 4973.3

At 95%, confidence interval is ( 275026.7, 284973.3 )

Hence;

Lower limit = 275026.7

Upper limit = 284973.3

Answer:

D. - 1/4

Step-by-step explanation:

Answer:

Substituting 4 for x:

ƒ(4) = 3(4 - 5)

ƒ(4) = -3

So, ƒ(4) = -3

Hopefully you understand now!

Answer:

Step-by-step explanation:

sin 60=CB/18

[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]