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Simplify. 3/2(x+3/4)−(x+1)

5/2x+17/8

12x+17/8

1/2x+1/8

Answer:D

Step-by-step explanation:

A is not Linear

B is not Linear

C is not Linear

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Explanation:

Note that 2^4 = 16 is one less than 17.

Because of this nature of being 1 less, we can say the remainder of 16/17 is -1 because it comes up one short.

In terms of modular arithmetic, we can say,

[tex]2^4 \equiv 16 \ (\text{mod } 17)\\\\2^4 \ \equiv -1 (\text{mod } 17)\\\\[/tex]

Then let's raise both sides to the 20th power. I'm picking 20 because 20*4 = 80 which will help build toward 81

[tex]2^4 \equiv -1 \ (\text{mod } 17)\\\\\left(2^4\right)^{20} \equiv (-1)^{20} \ (\text{mod } 17)\\\\2^{20*4} \equiv 1 \ (\text{mod } 17)\\\\2^{80} \equiv 1 \ (\text{mod } 17)\\\\[/tex]

Lastly, we'll multiply both sides by 2 to get to the final answer

[tex]2^{80} \equiv 1 \ (\text{mod } 17)\\\\2*2^{80} \equiv 2*1 \ (\text{mod } 17)\\\\2^{1}*2^{80} \equiv 2 \ (\text{mod } 17)\\\\2^{1+80} \equiv 2 \ (\text{mod } 17)\\\\2^{81} \equiv 2 \ (\text{mod } 17)\\\\[/tex]

So if we were to divide 2^81 over 17, then we get some quotient and a remainder of 2

Answer:

Step-by-step explanation:

700 cubic inches

Step-by-step explanation:

is known :

V = πr²h

V = 3.14 · 5² · 9

V = 3.14 · 25 · 9

V = 78.5 · 9

V = 706.5 cubic inches → Round to the nearest hundredth

V ≈ 700 cubic inches

The Volume of Cylinder is 1271.7 in³.

The volume of a cylinder is the amount of space that it occupies. It is a measure of the total capacity or content enclosed by the cylindrical shape.

The formula for calculating the volume of a cylinder is:

Volume = πr²h

We have, Radius= 5 in

Height= 9 inch

So, the Volume of Cylinder

= πr²h

= 3.14 x 5 x 5 x 9

= 3.14 x 5 x 81

= 3.14 x 405

= 1271.7 in³

Thus, the Volume of Cylinder is 1271.7 in³.

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Answer:

0

Step-by-step explanation:

combine the same variables

Answer: Infinite Solution

Step-by-step explanation: 2.5x+0.25=2.5x+0.25, since the equations are equal, any number you plug in will be the same.

Answer:

$2064

Step-by-step explanation:

take 432÷9=48×43

Answer:

Heliul are proprietăți chimice atât de diferite de cele ale celorlalte elemente încât nu poate fi plasat în niciun grup.

Step-by-step explanation:

Answer:

The x-intercept is (-2 1/7, 0).

The y-intercept is (0, -3).

Step-by-step explanation:

To find the y-intercept, substitute x with zero.

To find the x-intercept, substitute y with zero.

Finding the y-intercept by substituting x with zero:

7*0 + 5y = -15

5y = -15

y = -3

The y-intercept is (0, -3).

Finding the x-intercept by substituting y with zero:

7x + 5*0 = -15

7x = -15

x = -15/7

x = -2 1/7

The x-intercept is (-2 1/7, 0).

Answer:

16

Step-by-step explanation:

Given,

a²+b²=49

a+b=9

Now,

a²+b²=49

(a+b)^2-2ab=49

9^2-2ab=49

81-49=2ab

32/2=ab

ab=16

Hello there! I can help you with joy! :)

If we have 2 points, then we can find the slope using this formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

y2=11

y1=-14

x2=11

x1=10

[tex]\frac{11-(-14)}{11-10}[/tex]

[tex]\frac{11+14}{1}[/tex]

25

Hope this helps you!

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Tara has :

Each servings :

Total number of servings is equal to :

Step-by-step explanation:

Tara has ¾ cup of icecream

Each serving:

= ⅕

Total no. of servings

= ¾ ÷ ⅕

= ¾×5

= 15/4

= 3¾ or 3.75

Option B: Exponential growth

If  for values of x values of y increases and forms a geometric sequence then it would be an exponential growth function because geometric sequence is an exponential function and since, it is increasing hence, an exponential growth.  

Option A is incorrect because y is not decreasing  

Option C and D are incorrect because geometric sequence can never be linear since, it gives common ratio.

Answer:

Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV

In the fourth quadrant, the values for cos are positive only.

317 is an obtuse angle since it is greater than 90°

cos(317) = 0.73135369730756

Step-by-step explanation:

The approximate yards Jason will skate in the next 15 seconds is 135 yards

Given that :

Number of yards skate in 20 seconds = 180 yards

The rate per second cannbe calculated thus :

The distance skate in 15 seconds will be:

Therefore, Jason will skate 135 yards in the next 15 seconds.

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Answer:

x = 1

Step-by-step explanation:

49=7^x+1

Let's take the log of both sides

(x+1)*(log(7))=log(49)

x + 1  = log (49) / log (7)

x + 1 = 2

subtract 1 from both sides

x = 1

Answer:

Step-by-step explanation:

A

The expression that represents the number of blueberries he picks would be; 1/2x - 4

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that  the number of blueberries he picks is 4 less than half the number of strawberries he picks.

4 less than half the number of strawberries means;

1/2x - 4

If Jaylen picks x strawberries, then the expression that represents the number of blueberries he picks would be;

1/2x - 4

The correct option is C.

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Answer:

A. I believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the value of factorial 13 is 6,227,020,800

Answer:

The required length of AB is 7.28 units.

Step-by-step explanation:

Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]

Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]

Item a:

The age with the highest value is the a-value for the vertex, which is:

[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

A similar problem is given at https://brainly.com/question/24626341

Answer:

d. 4

Step-by-step explanation:

the numbers in the sequence keep increasing by a unit of 4.

-5 + 4 = -1

-1 +4 = 3

3 + 4 = 7

Answer:

B -4

Step-by-step explanation:

Answer:

25 rows

Step-by-step explanation:

Because if you divide 350 by 14 it gives you 25

Answer:

25

Step-by-step explanation:

350÷ 14 = 25.........

Answer:

According the graph we have:

Answer:

B C D  are correct.

Step-by-step explanation:

a+b-c=r/t

So,

a=(t/r)-b+c therefore wrong

b=(r/t)-a+c therefore correct

c= (-r/t)+a+b therefore correct

d=t(a+b-c)