need help on this math question

Need Help On This Math Question

Answers

Answer 1

The expression which gives the number of months passed in terms of p is √300 -0.5p

Subject of formula

We make t the subject of the formula in the expression

p = 600 - 2t²

subtract 600 from both sides in other to isolate 2t²

p - 600 = 600 - 2t² - 600

p - 600 = -2t²

Rearrange the equation

2t² = 600 - p

Divide both sides by 2 in other to isolate t²

2t²/2 = 600/2 - p/2

t² = 300 - 0.5p

Take the Square root of both sides in other to isolate t

√t² = √300 - 0.5p

t = √300 - 0.5p

Hence, the correct expression which gives the number of months t in terms of price p is t = √300 - 0.5p

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Related Questions

If n is at least 7, which inequality best represents the values of n?

n > 7
n < 7
n ≥ 7
n ≤ 7

Answers

Answer:

The answer to your question is C.n ≥ 7

Step-by-step explanation:

I hope this helps and have a good day!

A number is negative if and only if it is less than 0.
p. A number is negative.
q. A number is less than 0.
Which represents the inverse of this statement? Is the inverse true or false?
~p4~9
The inverse of the statement is sometimes true and sometimes false.
Oq+p
The inverse of the statement is true.
q→P
~q→ ~p
The inverse of the statement is false.

Answers

The inverse statement is:

¬q ⇒ ¬p

Which is true.

How to get the inverse statement?

Here we have the biconditional statement:

A number is negative if and only if it is less than zero.

Where:

p = a number is negative.q = a number is less than 0.

So we can write the statement as:

p ⇔ q

The inverse statement is:

if not q, then not p.

or

¬q ⇒ ¬p

Replacing p and q, we have:

"if a number is not less than zero, then the number is not negative".

This is true, if the number is not less than zero, then the number is 0 or larger, so that number is not negative.

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Answer:

D.

∼p↔∼q

and

G.

The inverse of the statement is true.

Step-by-step explanation:

Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…

Answers

The sum of the first five terms is 11/2

How to determine the sum?

The series is given as:

1/2, -1,2,-4…

Calculate the common ratio of the series using

r = -4/2

Evaluate

r = -2

The sum is then calculated as:

[tex]S_n = a\frac{1 - r^n}{1 - r}[/tex]

This gives

[tex]S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}[/tex]

Evaluate

[tex]S_n = \frac{1}{2} * \frac{33)}{3}[/tex]

Evaluate

[tex]S_n =\frac{11}{2}[/tex]

Hence, the sum of the first five terms is 11/2

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If m/FCD = x + 48, m/BCD = x + 17, and m/BCD = 95°, then find the value of x.

Answers

The value of x is 78

Solving equivalent equations

Given:

[tex]\frac{m}{FCD}=x+48\\\\ \frac{m}{BCD} =x+17\\\\\frac{m}{BCD} =95^0[/tex]

From the given equations, two of them are exactly equivalent

The equivalent equations are compared below

x  +  17   =  95

x  =  95  -  17

x  =  78

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A shop has this offer.
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
At the shop, shirts cost £49 each.
Tim buys 3 shirts
Craig buys 5 shirts
How much more than Tim does Craig pay?
Optional working
Answer: £

Answers

Tim buys 3 shirts for £49 each which is £147 without the discount with the discount it is £137
Craig buys 5 shirts for £49 each which is £245 without the discount with the discount it is £225
so craig spent 225-137=88

ANSWER: £88

Tell whether the equation 3x - 6y = 0 is a direct variation. Explain. If the equation is a direct variation, identify the constant of variation.

Answers

The equation is in direct variation and have constant of variation is 2.

According to the statement

we have given equation is 3x - 6y = 0 and find that the equation is direct variation of not.

Direct variation is the mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

So, to find the direct variation equate the given equation equal to zero and solve it.

So, 3x - 6y = 0

3x=6y

or

x/ y=2 or x=2⋅y

here x is directly proportional to the y by 2 times.

∴x∝y

So, this equation in direct variations and constant of variation is 2.

From above this is clear that the equation is in direct variation and have constant of variation is 2.

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solve for x the triangles are similar

Answers

Answer:

x = 10

Step-by-step explanation:

∆RSE ~ ∆FGE

SE/ GE = RE/ FE

45/ 12x-3 = 55/ 143

3/ 3(4x - 1) = 11/ 143

11(4x-1) = 429

44x-11 = 429

44x = 440

x =10

To graph the inequality y < 2x - 1, you would draw a solid line. A true B false

Answers

I think the answer is (A) True.

Hope it helps : )

True

Personally, when I see the line underneath the equality sign, I know I've got to draw a dotted line. That's how I remember the difference between drawing a solid / dotted line.

Hope this helps!

You want to put in a new concrete patio behind your house. You want it to be 12 ft wide by 14 ft long and it needs to be eight inches thick. You know that an 80 lb. bag of concrete yields 0.60 cubic feet. How many 80 lb. bags of concrete will you need for your patio?

Answers

Answer:

You will need 187 80 pounds bags of concrete.

Step-by-step explanation:

12x14x(2/3) x 0.6 = 186.666 or 187

in circle V, r=14. What is the area of circle V

Answers

Answer:
[tex]\pi[/tex][tex]14^{2}[/tex] or [tex]\pi 196\\[/tex]

Step-by-step explanation:

  The circle V has the radius of 14 (r=14)
The formula of area is (A=[tex]\pi r^{2}[/tex])

So we insert the value of (r=14)
[tex]A=\pi 14^2[/tex]
[tex]A=\pi 196[/tex]
And that's the answer, The exact value is 615.752...

Answer: 196 pi

Step-by-step explanation:

PLEASE HELP!!

From the triangle below, if AD=2 and CD=8. Find the Length of side AB

Answers

The result is D. You can find that triangle DBA and DCB are similar triangles. So DC/DB = DB/AD. DB=4 then AB can be figured out.

how to be smart
please help

Answers

Read books, have smart friends, do good in school.

I need help with my work

Answers

(In c) * 1/c = 0.0604 is the change in the function.

According to the statement

y = (In x)^2 on interval [1,4]

By mean value theorem

we use this formula to find a change f '(c)= [f(b) - f(a)] / (b - a)

Let it f(y) = (In x)^2

Now, f(4) = (In 4)^2

f(4) = (0.602)^2

f(4) = 0.3624

and

f(1) = (In 1)^2

f(1) = (0)^2

f(1) = 0

Now, f'(c) = 2 (In c) * 1/c

Substitute all these values in a formula

2 (In c) * 1/c = 0.3624 - 0 / 4 - 1

2 (In c) * 1/c = 0.3624/3

2 (In c) * 1/c = 0.1208

(In c) * 1/c = 0.0604

So, (In c) * 1/c = 0.0604 is the change in the function.

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Which of these is NOT an arithmetic sequence?
A.3, 9, 15, 21, 27, ...
B.-3, -9, -15, -21, -27,...
C.27, 21, 15, 9, 3, ...
D.3, 9, 27, 81, 243, ...

Answers

Answer:

D

Step-by-step explanation:

Sequence A is increasing using + 6

Sequence B is decreasing using - 6

Sequence C is decreasing using - 6

Sequence D is increasing using x 3

D is the odd one out

Write each equation in Slope-Intercept Form, if possible. Identify the slope and
y-intercept if they exist. Can you leave a detailed explanation please. Thank you
6x − 4y = 24

Answers

Answer:

slope intercept form: y = mx + b

6x - 4y = 24

4y = 6x - 24

y = 3/2x - 6

slope: 3/2

y intercept: - 6

Answer:

y = 3/2 x -6

The slope is 3/2 and the y intercept is -6

Step-by-step explanation:

6x-4y = 24

The slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

We need to solve the equation for y

6x-4y =24

Subtract 6x from each side

6x-4y-6x =-6x+24

-4y = -6x+24

Divide each side by -4

-4y/-4 = -6x/-4  + 24/-4

y = 3/2 x -6

The slope is 3/2 and the y intercept is -6

Question 7 (1 point) The two tables below show the amount of tip, y, included on a bill charging x dollars. A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3. A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15. Which compares the slopes of the lines created by the tables?

Answers

The slope of restaurant B is twice that of restaurant A

How to compare the slopes?

The tables of values are given as

           X(Bill)     Y(Tip)                          X(Bill)        Y(Tip)

Rest A     10           1                  Rest B      25            5    

Rest A     20          2                 Rest B      50            10

Rest A     30          3                 Rest B      75             15

The slopes are calculated using

Slope = (y2 - y1)/(x2 - x1)

Using the table of values, we have:

Rest A = (2 - 1)/(20 - 10)

Rest A = 0.1

Rest B = (10 - 5)/(50 - 25)

Rest B = 0.2

By comparing the slopes, we have:

Rest B = 2 * Rest A

This implies that the slope of restaurant B is twice that of restaurant A

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Find t and the terminal point determined by t for each point in the figure, where t is increasing in increments of /4.

Answers

The missing coordinates are listed below:

(x₁, y₁) = (0, 1)(x₂, y₂) = (- √2 /2, √2 /2)(x₃, y₃) = (- 1, 0)(x₄, y₄) = (- √2 /2, - √2 /2)(x₅, y₅) = (0, - 1)(x₆, y₆) = (- √2 /2, √2 /2)(x₇, y₇) = (1, 0)

How to determine the location a terminal point in a unit circle

According to the polar coordinate system, a vector in standard position is defined by this parametric formula:

(x, y) = (r · cos t, r · sin t), where t is in radians.

If we assume that r = 1, then we proceed to determine the location of the seven points remaining:

(x₁, y₁) = (cos π/2, sin π/2)

(x₁, y₁) = (0, 1)

(x₂, y₂) = (cos 3π/4, sin 3π/4)

(x₂, y₂) = (- √2 /2, √2 /2)

(x₃, y₃) = (cos π, sin π)

(x₃, y₃) = (- 1, 0)

(x₄, y₄) = (cos 5π/4, sin 5π/4)

(x₄, y₄) = (- √2 /2, - √2 /2)

(x₅, y₅) = (cos 3π/2, sin 3π/2)

(x₅, y₅) = (0, - 1)

(x₆, y₆) = (cos 7π/4, sin 7π/4)

(x₆, y₆) = (- √2 /2, √2 /2)

(x₇, y₇) = (cos 2π, sin 2π)

(x₇, y₇) = (1, 0)

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Elena cuts out a rectangle that has a perimeter of 156 inches and a length of 56 inches. She cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new ractangle?

Answers

answer: 200, 2 hundred, two hundred

It took 8 hours for 5 men to build a storeroom. How many hours will it take 12 men to build a similar storeroom if they work at the same rate?​

Answers

Answer:

7.5. hours

Step-by-step explanation:

Trust me

12 men will take 3.34 hours to build a similar storeroom if they work at the same rate.

What is an expression?

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that it took 8 hours for 5 men to build a storeroom. The time required by 12 men to do the same work will be calculated as below:-

Time taken by one man  = 8 x 5 = 40 hours

Time is taken by 12 men will be = 40 / 12 = 3.34 hours

Therefore, 12 men will take 3.34 hours to build a similar storeroom if they work at the same rate.

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The set of all three-digit binary numbers

Answers

The set of all three-digit binary numbers as required in the task content includes; 100,101,110,111.

What is the set of all three-digit binary numbers?

A binary number by definition is one which is made of a combination of numbers 0 and 1.

On this note, it follows that the three digits binary numbers in discuss include; 100,101,110,111.

Binary numbers are most often used in computer programs to represent data.

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sandy uses 41 round beads to make some triangles. how many triangles did she make.​

Answers

Answer:

3

Step-by-step explanation:

Numbers of beads used in making triangles:

3, 6, 10, 15, 21, 28, 36, ...

We need to pick a few numbers from those above that add to 41.

3 + 10 + 28 = 41

Answer: 3 triangles

Simplify
18÷[7+2{7+2(7-6)}+2
Answer is
[tex] \frac{2}{3} [/tex]
Show me the steps by steps​

Answers

Answer:

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

=18÷[7+2{7+2(7-6)}+2]

=18÷[7+2{7+2×1}+2]

=18÷[7+2×9+2]

=18÷[7+18+2]

=18÷27

=[tex] \frac{18}{27} [/tex]

=9 two is 18 and 9 three is 27

So,

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

Graph the solution of the system of linear inequalities.
y + 2x ≥0
3x-2y≤6

Answers

Step-by-step explanation:

all the details are in the attachment; the solution are is filled with purple color.

What is the product?
2
12 64
78 30
6
32
78 30
(050
69
78 30
899
32
39 15
66 8
64
38 30

Answers

Answer:

the product is 1.32057606543E32

This is worth 33 POInTS PLEASE HELP

Answers

The maximum amount of water that can be used by each house on a daily basis is 100 liters.

Equation

Common utilities in the community = 500 litersNumber of houses = 40 housesCapacity of water tank = 4,500 litersWater used per house = x

4,500 = 500 + 40x

4,500 - 500 = 40x

4,000 = 40x

x = 4,000 / 40

x = 100 liters

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14) Noah needs a car to get to his new job each day. He figures he can afford to pay $120 each month. Since he
is not looking at a new car, his bank will only give him a 4-year loan at 9.20 percent interest. Given these
parameters, what is the most Noah can borrow? Give answer to nearest hundred dollars.
O a.) $4600
Ob.) $4800
Oc.) $4900
O d.) $5000

Answers

Answer: $4600

Step-by-step explanation:

The length of two sides of the right triangle ABC shown in the illustration are given. Find the length of the third side in centimeters. a=12cm and c=37cm

Answers

By using Pythagoran theorem, the length of the third side of the triangle ABC is 35 centimeters.

How to find the missing side of a right triangle

In this question we know the lengths of two sides of the right triangle. By Pythagorean theorem we get the length of the missing side:

a² + b² = c²

b² = c² - a²

b = √(c² - a²)

b = √(37² - 12²)

b = 35

By using Pythagoran theorem, the length of the third side of the triangle ABC is 35 centimeters.

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Luther High School's basketball coach won a record 33 out of 42 games how many games must the team win in the next 28 games for the coach to maintain to the ratio of wins to losses?

Answers

Using proportions, they must win 22 games to maintain to the ratio of wins to losses.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the next 28 games, we have that:

The team will have won 33 + x games.The team will have played 42 + 28 = 70 games.

To keep the same proportion, we have that:

[tex]\frac{33}{42} = \frac{33 + x}{70}[/tex]

Applying cross multiplication:

42(33 + x) = 33 x 70

Simplifying by 14:

3(33 + x) = 33 x 5

3x = 33 x 5 - 33 x 3

3x = 33 x 2

3x = 66

x = 66/3

x = 22.

They must win 22 games to maintain to the ratio of wins to losses.

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I NEED THIS REALLY FAST!!!a brave knight traveled on his horse from one kingdom to another in 2 days the first day he rode at a speed of 10 mph and the second day he rode at a speed of 8 mph if he traveled exactly the same amount of time each day and went 180 miles find how many hors it took the knight to travel from one kingdom to another

Answers

Answer:

10 hours

Step-by-step explanation:

The rate x time of the first day + the rate x time of the second day equal the distance of 180 miles.

Let t = time

10t + 8t = 180

18t = 180

t = 10

Someone please help me with this geometry question!

Answers

Answer: SAS

Step-by-step explanation:

There are two pairs of congruent angles and the pair of angles formed by these sides are congruent.

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

In the given figure, one angle and two adjacent sides of Triangle AFB is equal to corresponding angle and sides of the Triangle DFC.

So, we can conclude that,

Triangle AFB and Triangle DFC are congruent by :

SAS congruency criteria

[tex] \qquad \large \sf {Conclusion} : [/tex]

A. SAS
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