simplify |x+3| if x>5

Answer:

A) Alexis is x-5 years old

B) Thomas is 3x years old

C) Thomas is 24 years older than Jenny (3×12=36 ; 36-12)

Alexis's age is x - 5.

Thomas's age is 3x.

Thomas is 24 years older than Jenny.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

A)

Jenny = x years old

Alexis = 5 years younger than Jenny.

So,

Alexis's age in terms of x.

Alexis's age

= Jenny's age - 5

= x - 5

B)

Thomas = 3 times as old as Jenny.

Thomas's age in terms of x.

Thomas's age = 3x

C)

x = 12,

Jenny = 12 years old.

Alexis = 5 years younger than Jenny,

So,

Alexis's age

= Jenny's age - 5

= 12 - 5

= 7

Now,

Thomas = 3 times as old as Jenny.

And,

Jenny = 12 years old.

Thomas's age

= 3x

= 3 x 12

= 36

Now,

Thomas's age - Jenny's age

= 36 - 12

= 24

Therefore,

Alexis's age = x - 5.

Thomas's age = 3x

Thomas is 24 years older than Jenny.

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Answer:

C

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

924

Step-by-step explanation:

i multiply 14 by 11 and then by 6

Answer:

72

Step-by-step explanation

48 + k+l =180

48 +90+l =180

138 +l = 180

l=180 - 138

l = 42

now

l+m+n= 180

42 +m+66 =180

108+m= 180

m= 180 -108 m =72

Mark brainlest

Answer:

b. There is sufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.

Step-by-step explanation:

Not significant,accept null hypothesis that population proportion = 0.65

When we accept the null hypothesis that P= 0.65

Then only option b is correct which states that  there is sufficient evidence to support that population proportion is exactly 0.65 .

1) We obtain a P - value of 0.0522 which is greater than 0.5 indicating that the null hypothesis is not rejected.

The rejection region for this right-tailed test is z > 1.64

2) Test Statistics

z= p`-p0/ sqrt(p0(1-p0)/n)

The z-statistic is computed as follows:

z= 0.75-0.65/ √(0.65*0.35)60

z= 1.624

3) Decision about the null hypothesis

Since it is observed that z = 1.624 is less than z ∝=1.64, it is then the null hypothesis is not rejected.

9514 1404 393

Answer:

  a) radius: 6 (m); mass: 22 (kg)

  b) volume: 19 (m³)

  c) d ≈ 2.8×10^3 kg/m³

Step-by-step explanation:

The order of magnitude is the exponent of 10 when the number is written in scientific notation.

a) radius: 1.6×10^6 m, so the order of magnitude is 6 when the units are meters.

  mass: 4.8×10^22 kg, so the order of magnitude is 22 when the units are kg.

__

b) The volume is ...

  V = (4/3)πr^3 ≈ 1.716×10^19 m^3, so the order of magnitude of the volume is 19 when the units are m^3.

__

c) The ratio of mass to volume is ...

  d = (4.8×10^22)/(1.716×10^19) ≈ 2.8×10^(22-19) = 2.8×10^3 kg/m^3, so the order of magnitude is 3 when the units are kg/m^3.

Answer:

The answer is "Type 1 error".

Step-by-step explanation:

The error of type I, frequently known as a 'false positive': its error in judgment that perhaps a null hypothesis is simply rejected. This is the mistake of accepting a possible (actual interest hypothesis) hypothesis whenever the results could be attributed to chance since the researchers deny, if valid, the null hypothesis.

Answer:

eyjdnfbhs

Step-by-step explanation:

Answer:

The surface area is 98 square feet.

Step-by-step explanation:

7 x 4 = 28

28 x 3 = 84

4 x 3.5 = 14

14 / 2 = 7

7 x 2 = 14

84 + 14 = 98

Answer:

30027.86

Step-by-step explanation:

Answer:

2 1/6

Step-by-step explanation:

8 2/3 - 7 1/2 = 2 1/6

9514 1404 393

Answer:

  1 1/6 miles east of home

Step-by-step explanation:

If we consider east to be positive, then the distance from home to office is ...

  (-7 1/2) +(+8 2/3) = -7 3/6 +8 4/6 = (8 -7) +(4/6 -3/6) = +1 1/6

Farris's office is 1 1/6 miles east of his home.

Answer:

10.4

Step-by-step explanation:

look at the picture for steps

Answer:

2112

Step-by-step explanation:

100% sure

Answer:

A

Step-by-step explanation:

The other piece of information Mike needs to determine the confidence interval is the critical value.

A confidence interval is a range of estimates for a variable that is uncertain. A confidence interval is calculated at a specified confidence level; the 95% confidence level is the most frequent, although other values, such as 90%or 99%, are also used.

To determine the confidence interval for a set of data sample size, the sample proportion, and the critical value are needed to be known.

Hence, the other piece of information Mike needs to determine the confidence interval is the critical value.

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Answer:

A and C

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  [tex]f(x)=\sqrt{x}-2[/tex]

Answer:

the answer is A.

Step-by-step explanation:

:))))))

Answer:

mean = 49.25

Step-by-step explanation:

mean = sum of all the number ÷ amount of number

mean = 56 + 21 +55 + 30 + 34+ 76 + 40 + 82 = 394 ÷ 8

mean = 49.25

mean absolute deviation = (56- 49.25) + (21 - 49.25) + (55 -49.25) + (30 - 49.25) + (34 -49.25) + (76 -49.25) + (40 - 49.25) + (82- 49.25) / 8

mad= 6.75 + -28.25 + 5.75 + -19.25 + -15.25 + 26.75 + -9.25 + 32.75 / 8

mad = 0/8

mad= 0

brainliest is appreciated

Answer: I think it’s great but you should make a stronger opinion and always have back up evidence

Step-by-step explanation:

9514 1404 393

Answer:

  B.  (x +4)² +(y +5)² = 64

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Filling in your given values, you have ...

  (x -(-4))² +(y -(-5))² = 8²

Simplifying, you get ...

  (x +4)² +(y +5)² = 64 . . . . . . . matches choice B

_____

Additional comment

As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.

s = 4

h = 3

C = ?

C = s(3h + 5)

C = 4(3·3 + 5)

C = 4(9 + 5)

C = 4(14)

C = ?

ANSWER: It costs 56 dollars

Use the shell method. The volume is

V = 2π ∫₅⁸ (x - 5) x ² dx

V = 2π ∫₅⁸ (x ³ - 5x ²) dx

V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸

V = π/6 (3x ⁴ - 20x ³) |₅⁸

V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

V = 891π/2

Answer:

The two triangles are very similar by them both having the same kind of angles even though they are different in size, like, an acute angle.

I'm not sure if this helped or not hopefully it did good luck.

Answer:

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

Step-by-step explanation:

To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :

Assume:  б(Δ ABC ) =  б(Δ DEF ) and also AB ≅ DE

let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF  respectively

Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that

AB = summit of ABB'A' and DE = summit of DEE'D'  also  AB ≅ DE

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

Answer:

By showing an example of ditributive property against addition.

Step-by-step explanation:

Let's say:

x = 5

y = 10

sin = 4

let's plug it in:

sin(x + y)

4(5 + 10) Let's solve:

20 + 40 = 60

Let's see if we get the same result:

5 + 10 = 15.

Not even close.

Answer:

[tex]20\pi[/tex] m

OR

62.8318531 m

Step-by-step explanation:

This is actually pretty simple

The distance the tip travels is the arc length and the length of the pendulum is the radius of a circle

The formula for arc length is Angle in Radians x Radius

So pi/12 * 4 = pi/3 m

We know this is how much it travels every second so it is going at pi/3 m/s

One minute is 60 seconds

pi/3 * 60 = 20pi m

Answer:

number = n

n = 51

Equation:

n - 12 = 39

39 + 12 = 51