the value of x must be greater than?

The two angles are supplementary, so their measures add to 180º. Use this to solve for x :

(3x + 20) + x = 180

4x + 20 = 180

4x = 160

x = 40

Then the larger angle has measure

(3(40) + 20)º = (120 + 20)º = 140º

Answer:    8.3 or C  

Eplanation: This is because a half life is 50 percent of a normal life so 50 percent divided by 6 is 8.3

[tex]8.3[/tex]% is the approximate decay rate of the element after the first day.

What is Radioactive decay ?

Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common types of decay are alpha decay, beta decay, and gamma decay, all of which involve emitting one or more particles.

What is decay rate?

The rate of decay, or activity, of a sample of a radioactive substance is the decrease in the number of radioactive nuclei per unit time.

According to question, a radioactive element has a half-life of six days.

A half- life is [tex]50[/tex]% of a normal life.

So, the approximate decay rate of the element after the first day

[tex]=\frac{50}{6}[/tex]% [tex]=8.3[/tex]%

Hence, we can conclude that [tex]8.3[/tex]% is the approximate decay rate of the element after the first day.

Learn more about decay rate  here:

https://brainly.com/question/22005704?referrer=searchResults

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Answer:$14,366.85

Step-by-step explanation:

Yep

Answer:

14366.85

Step-by-step explanation:

Identify the values of each variable in the formulas. Remember to express the percent as a decimal.

APrt=?=$8,000=0.2=3

For quarterly compounding, n=4. There are 4 quarters in a year.

A=P(1+rn)nt

Substitute the values in the formula.

A=8,000(1+0.24)4⋅3

Compute the amount.

A=$14,366.85

Answer:

C.5ft

Step-by-step explanation:

Answer:

The smallest even composite number is 4. The smallest odd composite number is 9. The smallest two digit odd prime number is 11. The number of composite numbers between 1 and 100 are 73.

Answer:

-7 or 7 depending on your class

Step-by-step explanation:

Smallest even prime number = 2 (2 is the only even prime number)

Smallest odd composite number = 9

Difference = subtraction

2 - 9

-7

If your class has not gone over negatives then they would instead write the problem as:

9 - 2

7

Answer:

Step-by-step explanation:

|<----------------- AB ------------------->|

A--------------------M--------------------B

     5x + 4                      3+16

since M is at midpoint, AM = MB

5x + 4 = 3 + 16

5x = 3 + 16 - 4

x = 15 / 5

x = 3

AB = AM + MB

AB = 5(3) + 4 + 3 + 16

AB = 15 + 23

AB = 38

Answer:

There are 32 tablespoons in a pint

Answer:

Step-by-step explanation:

1 cup = 240 mL

1 pint = 2 cups = 480 mL

1 tbsp = 15 ml

1 pint = 480 mL / 15 tablespoons

1 pint = 32 tablespoons.

These numbers are approximations. It depends on what your conversions really are. However the answer should be very close to 32 tablespoons.

Answer:

168

Step-by-step explanation:

Answer:

Liam would save $168.

What I did:

Multiply the $12 and the 14 weeks. this will give you $168.

Answer:B

Step-by-step explanation:y=3x;30 feet

Answer:

5x7 = 35 + 3 = 38 :)

Step-by-step explanation:

If you were asking how much he would have each week its 35$ but dont foget to add 3

Answer:

Step-by-step explanation:

Write each expression with a common denominator of 15 15 , by multiplying each by an appropriate factor of 1 1 . Tap for more steps... Multiply 173 17 3 and 55 ...

Answer:-21

Step-by-step explanation:

Answer:

X        -8          0          8         16        24

Y       -8         -5         -2          1           4

Answer:

there are 600 cm in 6 meters

Answer: 600 cm

Step-by-step explanation:

100cm = 1 m

Then ? cm = 6m

Since cm is smaller than m, cm would need more to be equal or equivalent to m. Therefore we say, what multiply by 1m gives you 6m? Because they are asking for 6m. Whatever you do to one side you do to the other.

6(100)cm = 6(1) m

600cm = 6m

Answer:

3.5

Step-by-step explanation:

Order of operations

Answer:

3)x>11/3

Step-by-step explanation:

3x - 21 + 8x + 18 >0

11x>3

x>11/3

Answer: The maximum distance between two antipodal points on the surface of the sphere.

Answer:

[tex]a=\frac{m}{(q+r^2)}[/tex]

Step-by-step explanation:

We begin with the equation [tex]qa+r^2a=m[/tex] for which we need to solve for a.

The first thing that we can do is to factor out the a from both terms on the left side of the equation

[tex]qa+r^2a=m\\\\a(q+r^2)=m[/tex]

Then we can divide each side by [tex](q+r^2)[/tex] to isolate a

[tex]a(q+r^2)=m\\\\a=\frac{m}{(q+r^2)}[/tex]

Answer:

a) 2.09167

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 2.98hrs/day, Standard Deviation = 2.4

a) What is the Z score for a person who watches more than 8 hrs/day.

z = 8 - 2.98/2.4

= 2.09167

b) What proportion of people watch 5 hrs/day or more television?

z = 5 - 2.98/2.4

z = 0.84167

Determining the Probabilityvalue from Z-Table:

P(x<5) = 0.80001

The proportion of people watch 5 hrs/day or more television

P(x>5) = 1 - P(x<5) = 0.19999

Approximately = 0.2

c) How many does this correspond to in the sample?

From the question above, we are told that: there are 650 GSS respondents in 2006 watched television

Hence the proportion that corresponds to Question b is

0.2 × 650

= 130 correspondents

Therefore, 130 correspondents watch 5 hrs a day or more television

d) What number of television hours per day corresponds to a Z = +1.

z score formula is given as:

z = (x-μ)/σ

Z = +1

x = unknown

Mean = 2.98

Standard deviation = 2.4

Hence:

1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

2.4 + 2.98 + x

= 5.38 hours per day.

e)What is the percentage of people who watch between 1 and 6 hours of television per day?

For x = 1

z = 1 - 2.98/2.4

z = -0.825

Probability value from Z-Table:

P(x= 1) = 0.20469

For x = 6

z = 6 - 2.98/2.4

z = 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is calculated as:

P(x = 6) - P(x = 1)

0.89586 - 0.20469

= 0.69117

Converting to percentage,

0.69117 × 100%

= 69.117%

To the nearest whole number = 69%

Therefore, 69% of the people who watch between 1 and 6 hours of television per day

Answer:

The last one

Step-by-step explanation:

The opposite of -5 is 5

The opposite of 0 is still 0

The opposite of 8 is -8

The last graph is the only one that plots 5,0, and -8.

Answer:

5

Step-by-step explanation:

The number is x

3x - 3 = 12

3x = 15

x = 5

Answer:

y = 3x + 7

(Not sure what the question was so, I just put it in slope intercept form)

Step-by-step explanation:

Let x be Steve's age.

Steve = x

Steve's Mom = y

Now let's create an equation:

y - 7 = 3x

y = 3x + 7

(Not sure what the question was so, I just put it in slope intercept form)

Please let me know if I misunderstood the question that way I can help you! <3

Answer:

Steve's mom is 65.

Step-by-step explanation:

Let s = Steve's age.

s + (3s - 7) = 65

4s - 7 = 65

4s = 72

s = 18

Check:

Steve is 18

His mom is (3 * 18) - 7 = 54 - 7 = 47

14 + 47 = 65

Yep.

18 + 47 = 65

Answer:

Your answer will be one

Step-by-step explanation:

Answer:

21.06

Hope this helps

Step-by-step explanation:

Answer:

A. [tex] Area = \frac{1}{2}(2x^2 - 2x - 24) [/tex]

B. [tex] Area = 3.75 in^2 [/tex]

Step-by-step explanation:

A. [tex] Area = \frac{1}{2}bh [/tex]

Where,

[tex] b = 2x + 6 [/tex]

[tex] h = x - 4 [/tex]

Plug in the values to get a polynomial that represents the area of the tool

[tex] Area = \frac{1}{2}(2x + 6)(x - 4) [/tex]

[tex] Area = \frac{1}{2}(2x(x - 4) + 6(x - 4) [/tex]

[tex] Area = \frac{1}{2}(2x^2 - 8x + 6x - 24) [/tex]

[tex] Area = \frac{1}{2}(2x^2 - 2x - 24) [/tex]

B. To find area, when x = 4.5 in, plug in the value of x into the equation for the area of the tool.

[tex] Area = \frac{1}{2}(2(4.5)2 - 2(4.5) - 24) [/tex]

[tex] Area = \frac{1}{2}(2(20.25) - 9 - 24) [/tex]

[tex] Area = \frac{1}{2}(40.5 - 9 - 24) [/tex]

[tex] Area = \frac{1}{2}(7.5) [/tex]

[tex] Area = 3.75 in^2 [/tex]

Answer:

Step-by-step explanation:

Given

Equation to reflect the sum:

The answer is 25 male participants