Solve the inequality. 1/2 (8x − 2) − 2/3 (9x + 3) ≤ 8

Answer:

90 square feet per hour

Answer:

  88

Step-by-step explanation:

Write the expression for the sum in the relation you want.

  Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

  Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

  Sn > 5543

  35(1.06^n -1) > 5543 . . . . substitute for Sn

  1.06^n -1 > 5543/35 . . . .  divide by 35

  1.06^n > 5578/35 . . . . . . add 1

  n·log(1.06) > log(5578/35) . . . take the log

  n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

Answer: Choice A

Arithmetic, common difference = -10

==========================================

Explanation:

We subtract 10 from each term to get the next one

5-10 = -5

-5-10 = -15

-15-10 = -25

This is the same as adding -10 to each term

5+(-10) = -5

-5+(-10) = -15

-15+(-10) = -25

So this is why the common difference is -10 and the sequence is arithmetic.

Answer:

6

Step-by-step explanation:

Because 3 plus 3 is 6

Answer:

rise: 1

run: 2

rise over run 1/2

Step-by-step explanation:

to find slope move up one over 2 to the left

Answer: .86

Step-by-step explanation: Percentages can represent sale prices, such as 20 percent off, success rates, such as getting 86 ... Enter the portion you are converting to a percentage in the calculator. ... For example, if there were a total of 50 question on the test, enter "50." ... For example, if a student got 43 out of 50 questions correct, your answer is .86.

Answer:hope this helps

0.75x + 3 = 0.25x + 5.25

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

Constants are $3 and $5.25 respectively

Answer: -6

Step-by-step explanation:

See attached picture

Answer:

20 = x + 17

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

17 + x = 20

-17 -17

x = 3

Answer:

A

Step-by-step explanation:

Got it right on edge2020

The sine function that models the person’s blood pressure will be f(x) = 30 sin(Πx/5) + 90.

Function is a relationship between two sets X and Y where Set X is called domain and set Y is called codomain.

For example f(x)= sin x+ cos x

We have,

The Blood pressure of patient with the heart rate = 70 beats/ minute

And,

In next 10 minutes,

The maximum blood pressure i.e. (a + d) = 120 mm/Hg

The maximum blood pressure i.e. (-a + d) = 60 mm/Hg

So,

Sine function works on;

f(x) = a sin(bx + c) +d

So,

Now,

Adding Maximum and Minimum blood pressure,

i.e.

(a+d)+(-a+d) = 120 + 60

⇒a + d - a + d = 180

⇒ 2d = 180

d =90

So,

NOw, substituting this value in maximum blood pressure,

i.e. (a + d) = 120

a + 90 =120

a = 30

we have time period = 10 minutes,

So,

2Π/b = 10

⇒ b = Π/5

So,

Count is started at 0.

So, c = 0,

Putting the above value,

f(x) = a sin(bx + c) +d

⇒f(x) = 30 sin(Πx/5 + 0) +90

⇒f(x) = 30 sin(Πx/5) +90

Therefore, the sine function that models the person’s blood pressure as a function of time (in minutes) will be f(x) = 30 sin(Πx/5) + 90.

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Answer:

1

Step-by-step explanation:

Answer:

12.00

Step-by-step explanation:

9:15 + 2 hours and 45 minutes =

(9:15 + 2) + 45 +

11:15 + 45 = 12:00

Hope This Helps

<3

Answer:

e

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Use PEMDAS

P = parenthesis

E = Exponents

M = Multiplication*

D = Division*

A = Addition**

S = Subtraction**

*either can come first, it just depends which comes first in the equation.

**either can come first, it just depends which comes first in the equation.

Step 1 : Write equation   4( 9 × 2 ) ÷ ( 4 -1 ) - 4

Step 2: Solve in parenthesis   4(18) ÷ (3) - 4

Step 3: Solve multiplication   72 ÷ 3 - 4

Step 4: Solve division               24 - 4

Step 5 : Solve subtraction         20

The simplified answers is -22.

The order of Operations is the rule in math that states we evaluate the parentheses/brackets first, the exponents/the orders second, division or multiplication third (from left to right, whichever comes first), and the addition or subtraction at the last (from left to right, whichever comes first). In math, there might be several operations to be done while evaluating an expression, and simplification at the end yields different results. However, we can only have one correct answer for any sort of expression. To identify the correct answer we simplify any given mathematical expression using a certain set of rules. These rules revolve around all the basic operators used in maths. Operators such as addition (+), subtraction (-), division (÷), and multiplication (×).

The order of operation can be termed as BODMAS.

Given:

4 + (9∙2) ÷ (4 - 1) - 4

=4+ (18) / (3)- 4

=22 / -1

=-22

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Answer:

[tex]9^{1000000000}[/tex]

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

The x-intercepts means when y equals 0, or when the function crosses the x-axis.

0 = (x-6)^2 - 16

16 = (x-6)^2

Take the square root of both sides:

4 = (x-6)

Add 6 to both sides to get:

x = 10

Answer:

d =14

Step-by-step explanation:

[tex]1\frac{1}{2} d -9 =12[/tex]

[tex]\frac{3}{2} d = 12+ 9[/tex]

[tex]\frac{3}{2} d =21[/tex]

[tex]d = 21 : \frac{3}{2}[/tex]

[tex]d = 14[/tex]

Answer:

6.4 units

Step-by-step explanation:

c = √(x1 - x2)^2 + (y1 - y2)^2

c = √(3 - 7)^2 + (-3 + 8)^2

c = √(-4)^2 + (5)^2

c = √16 + 25

c = √41

c = 6.4031...

c = 6.4

Answer:

red pencil=5/24

yellow pencil=6/24

Blue pencil=8/24

Orange pencil=3/24

purple pencil=2/24

Answer:

y = - 2x - 7

Step-by-step explanation:

Step 1:

y = mx + b      Slope Intercept Form

Step 2:

y = - 2x + b      Input Slope

Step 3:

- 3 = - 2 ( - 2 ) + b    Input x and y

Step 4:

- 3 = 4 + b       Multiply

Step 5:

- 7 = b      Subtract 4 on both sides

Answer:

y = - 2x - 7

Hope This Helps :)

m = -2

y = mx +c

-3= -2(-2) +c

-3 =4 + c , c = -7

Thus, equation is y = -2x-7

Answer:

105°

Step-by-step explanation:

25+50+x=180

75+x=180

x=105

Answer:

Step-by-step explanation:

sum of interior angles = 180

25 + 50 + x = 180

x = 180 - 25 - 50

x = 105°