Answer:
a conjecture, a postulate, and a definition
Step-by-step explanation:
A premise is an assumption something is true. When completing a proof, we must use already established truths to get us from one step to another; these can be theorems, postulates, conjectures, or definitions. However, premises themselves cannot be used to prove something.
Please help me whith this it is due today.
What are the solutions of the inequality? -2(3x + 2) greater than or equal to -6x - 4
Change the equation x^2+8x+y^2-12y=12 to graphing form
Marcus and three of his friends are guessing the radius of a circular pond. They read that the circumference is 157 ft, so they can use the equation 3.14*2r=157 to determine which of these guesses which form the replacement set {20,25,30,35} is correct?.
What is the radius of the pond?
A. 20ft
B. 25ft
C. 30ft
D. 35ft
Answer:
Option B. 25 ft
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=157\ ft[/tex]
assume
[tex]\pi =3.14[/tex]
substitute in the formula
[tex]157=2(3.14)r[/tex]
Solve for r
Divide by 2(3.14) both sides
[tex]r=157\(2(3.14))[/tex]
[tex]r=25\ ft[/tex]
Write an equation in slope-intercept form of the line with slope 5 and y-intercept -4.
A. y = -4x + 5
B. y = 5x + 4
C. y = 5x - 4
D. 5x - y = 4
When Angela begins her drive, she is 400 mi from home. She drives at an average of 50 mph until she gets home. Graph the situation.
Simplify.
(4a^5b^6)^4
^ means exponent
256a^20 b^24
256a^9 b^10
16a^9 b^10
16a^20 b^24
[tex]\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^m)^n=a^{n\cdot m}\\---------------------\\\\\left(4a^5b^6\right)^4=4^4(a^5)^4(b^6)^4=256a^{5\cdot4}b^{6\cdot4}=256a^{20}b^{24}[/tex]
Suppose Raj receives a raise for his hard work and now earns $6.25 per hour how many hours would he need to work to earn $132?
Al drives from Boston to Washington D.C. and then returns. On his trip to Washington, he travels 60 miles per hour. On his return trip, he travels 50 miles per hour. His trip to Boston takes an hour and a half longer than his trip to Washington. How far apart are Washington and Boston? Make a equation
The distance apart from Washington and Boston is 450 miles.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
Trip from Boston to Washington:
Speed (2) = 60 miles per hour
Trip from Washington to Boston:
Speed (1) = 50 miles per hour
Speed = Distance / Time
Time = Distance / Speed
Distance is the same for both trips.
Time taken for the trip from Washington to Boston = t(1)
Time taken for the trip from Boston to Washington = t(2)
His trip to Boston takes an hour and a half longer than his trip to Washington.
This can be written as,
t(1) - t(2) = 1.5 hours
Distance ( 1/50 - 1/60) = 1.5
Distance ( (6 - 5)/300 ) = 1.5
Distance (1 / 300) = 1.5
Distance = 1.5 x 300
Distance = 450 miles
Thus,
The distance apart from Washington and Boston is 450 miles.
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Jeremiah is factoring 0.64t^24 - 9 by using the rule, a^2 - b^2 = (a+B)(a-b). What will he use for the value of a? A.0.08t^12 B. 0.8t^12 C. 0.64 D. 0.8 I think it's B or C... Help please!
to factor something with an exponent you need to take the square root of it
sqrt (0.64) = 0.8, sqrt(t^24) = t^12)
Answer is B
what is the measure of each interior angle in a regular hexagon?
HELP?
One-eleventh of all sales at Joe's Diner are for cash. If cash sales for the week were $380, what were Joe's total sales?
To find Joe's total sales when one-eleventh are cash sales amounting to $380, multiply the cash sales by 11, which results in a total of $4180.
To find Joe's total sales, one would apply the concept of proportions in mathematics. Here is a step-by-step breakdown of the problem:
Identify the fraction of total sales that are cash, which is one-eleventh.
Understand that $380 equals this fraction of the total sales.
To find the total sales, divide the cash sales by the fraction that represents cash sales 1/11
Calculate the total sales by using the following equation: Total Sales = Cash Sales / (1/11) = $380 / (1/11).
Perform the division: Total Sales = $380 * 11 = $4180.
Hence, Joe's total sales for the week were $4180.
Trent spent 50 minutes at the neighbors house. He spent 2/5 of the time swimming. How many minutes did Trent spend swimming
dora gets paid an hourly wage, which increases if she works over 40 hours per week. she worked a total of h hours last week, and the number of dollars she got paid was 30 ×40+45 ×(h-40). what does 45 represent in this situation?
A. the number of dollars per hour she got paid for all hours under 40
B. the number of dollars per hour she got paid for all hours over 40
C. the number of hours she worked over 40
D. the total number of hours she worked
How is a rational number that is not an integer different from a rational number that is an integer?
What os a comparison of two quantities and can be written as a fraction when the two quantities have two different units?
the correlation coefficient (r) between the number of hours worked x and the amount of money earned y is 0.456 what percent of the variation in the amount of money earned can be explained by differences in the number of hours worked
A :79.2%
B:54.4%
C:45.6%
D:20.8%
-3(w-3)≥9-3w
If all real numbers can solve please tell me why
Answer: " w = (all real numbers) " —as explained below.
_________
Step-by-step explanation:
_________
Given the following "inequality":
_________
" -3(w – 3) ≥ 9 – 3w " ; Solve for "w" ;
and see if the answer ["value for "w"]; is:
"all real numbers."
_________
→ " -3(w – 3) ≥ 9 – 3w " ;
_________
Method 1):
_________
On the "right-hand side" of the "inequality";
Factor out a "(-3)" ;
_________
" -3(w – 3) ≥ ( -3 * ? = 9?) – (-3 * ? = 3w? ) " ;
_________
1) " -3 * (what value?) = 9 "?
Let "x" be the 'unknown value' :
→ " -3x = 9 " ;
Divide each side of the equation by "(-3)" ;
to isolate "x" on one of the equation;
& to solve for "x" ;
-3x / -3 = 9 / -3 ;
to get: " x = -3 " ;
_________
2) " -3 * (what value?) = 3w " ?
Let "x" be the 'unknown value' :
→ " -3x = 3w " ? ;
→ Divide each side or the equation by ("-3").
→ to isolate "x" on one side of the equation;
→ & to solve for "x" ;
-3x / 3 = 3w / -3 ;
to get: x = -1w ;
_________
So: " -3(w – 3) ≥ -3* (? = 9?) – (-3 * ? = 3w?) " ;
_________
Rewrite as:
" -3(w – 3) ≥ -3* [(-3 – (-1w)] " ;
_________
Now, let us consider the Following Portion of the "right-hand side" of the inequality:;
" (-3 – (-1w)] = " (-3 + 1w) " ;
→ {since: "subtracting a "negative value is the equivalent of adding that particular value's positive value"} ;
and bring down the "(-3)" on the "right-hand side" of the inequality; and rewrite the inequality as:
_________
" -3(w – 3) ≥ -3(-3 + 1w) " ;
→ Now, divide EACH SIDE of the inequality by "(-3)" :
{Note: Each time when one multiplies or divides an inequality by a "negative value"—the inequality sign flips to the other direction.}.
→ [ -3(w – 3)] / -3 ≥ [-3(-3 + 1w ] / -3 ;
to get:
→ " (w – 3) ≤ (-3 + 1w) " ;
_________
Note: " (-3 + 1w) " ; ↔ " [(1w + (-3)] = " 1w – 3 " = "w – 3 " ;
_________
Rewrite the inequality:
_________
→ " (w – 3) ≤ (w – 3 ) " ;
↔ " w – 3 ≤ w – 3 " ;
The same value is equal to each other: not less than or equal to each other: For instance:
→ " w – 3 ≤ w – 3 " ;
If we add "3" to each side of the equation:
→ " w – 3 + 3 ≤ w – 3 + 3 " ;
We get: " w ≤ w " . "w = w". "w is not "less than" itself. So all real numbers apply!
_________
Method 2)
_________
Given the following "inequality":
_________
" -3(w – 3) ≥ 9 – 3w " ; Solve for "w" ;
and see if the answer ["value for "w"]; is:
"all real numbers."
_________
On the "left-hand side of the inequality;
we have:
_________
" -3(w – 3) " ;
_________
Take note of the "distributive property of multiplication" :
→ " a(b + c) = ab + ac " ;
_________
As such:
_________
We can expand:
" -3(w – 3) = (-3*w) + (-3*-3) " ;
= -3w + (9) ;
_________
Now, we can rewrite the original inequality:
_________
" -3w + 9 ≥ 9 – 3w " ;
_________
Note: " -3w + 9 = 9 + (-3w) = 9 – 3w " ;
→ {since: adding a "negative value" gets the same value as subtracting that value's "positive equivalent"};
And we can rewrite our inequality as:
_________
" 9 – 3w ≥ 9 – 3w " ;
_________
Note: We have the same value on each side.
"(9 – 3w)" is not greater than itself; it is "equal to itself".
Any and all real numbers as values for "w" will result in the same value for any particular expression's Exact Same Expression!
_________
So: "w = (all real numbers)" .
_________
Hope this is helpful to you!
Best wishes!
_________
Which is the line shown in the figure?
line XY
line XZ
line WX
line WZ
Option B is the correct answer.
We need to check which is the line shown in the figure.
What is a line?In geometry, a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher-dimension spaces. The word line may also refer to a line segment in everyday life, which have two points to denote its ends.
Now, from the given figure we can see XZ is a line.
Therefore, option B is the correct answer.
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The function BN equals 6n represents the number of light bulbs BN that are needed for n chandeliers how many light bulbs are needed for 15 chandeliers
BN =6n
n = chandeliers
you have 15 chandeliers so n = 15
so BN = 6(15)
BN = 90
you will need 90 light bulbs
Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
Answer:
3 months
Step-by-step explanation:
Let after m months they saved same amount of money.
Given,
Saving of Jaclyn = $ 120,
Amount earned by him/her per month = $ 40,
So, the total amount contained by him/her in m months = Saving + earning for m months
= 120 + 40m,
Similarly, saving of Pedro = $ 180,
Amount earned by him/her per month = $ 20,
So, the total amount contained by him/her in m months = 180 + 20m
Thus, we can write,
120 + 40m = 180 + 20m
40m = 180 + 20m - 120
40m - 20m = 60
20m = 60
⇒ m = [tex]\frac{60}{20}[/tex] = 3.
Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.
Linear equations can be solved by applying arithmetic operations separately for variables and constants. If they both save their entire allowances, 3 months will it take before Jaclyn and Pedro have saved the same amount of money
Let us assumed that the saving of Jaclyn and Pedro will be the same after n months.
Now, from the given data.
Saving of Jaclyn = $ 120
Amount earned by Jaclyn per month = $ 40
Total amount in hand of Jaclyn after work for n months will be the addition of current saving and the amount earned by Jaclyn after n months.
Thus,
[tex]\rm{Amount \;after \;n \;months}= 120 + 40n[/tex],
Similarly, the saving of Pedro = $ 180
Amount earned by Pedro per month = $ 20
Total amount in hand of Pedro after work for n months will be the addition of current saving and the amount earned by Pedro after n months.
Thus,
[tex]\rm{Amount \;after \;n \;months}= 180 + 20n[/tex]
According to the question,
[tex]\begin{aligned}&120 + 40n = 180 + 20n\\&40n = 180 + 20n - 120\\&40n - 20n = 60\\&20n = 60\\&n=\dfrac{60}{20}\\&n=3\end{aligned}[/tex]
Hence, If they both save their entire allowances, 3 months will it take before Jaclyn and Pedro have saved the same amount of money.
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A drama club wants to raise at least $500 in tickets sales for its annual show. The members of the club sold 50 tickets at a special $5 rate. The usual ticket price the day of the show is $7.50. At least how many tickets do they have to sell the day of the show to meet the goal. Let t=tickets
To meet their fundraising goal, the drama club needs to sell 34 tickets at $7.50 each.
Answer:
The drama club wants to raise at least $500 in ticket sales. They already sold 50 tickets at $5 each. Let the number of tickets they need to sell at $7.50 be represented by 't'.
Revenue from $5 tickets: $5 × 50 = $250To find the number of $7.50 tickets needed: $500 - $250 = $250Number of $7.50 tickets needed: $250 / $7.50 = 33.33Therefore, the drama club needs to sell at least 34 tickets at $7.50 each to meet their goal.
Len and three of his friends decide to rent a house and split the cost evenly. They each paid $725 towards the total move-in cost of first month's rent, last month's rent, and a security deposit. If rent is $800 per month, how much was the security deposit?
a.
$575
b.
$725
c.
$1,300
d.
$2,100
Answer:
its 1300
Step-by-step explanation:
What is the product? (7.1×10 ^4)⋅(4.8×10 ^3)
3.408×10^7
3.408×10^8
3.408×10^12
3.408×10^13
a bookstore rents books to students for $2 per book. the cost of running bookstore is $300 per hour. using a for coin flip distribution how many students would the store need to rent to break even?
Answer:
75
Step-by-step explanation:
300/4=75.
Find the distance between the points (-2, 4) and (4, -6).
2√2
2√(10)
2√(34)
Answer: The correct option is (C) 2√34.
Step-by-step explanation: We are given to find the distance between the points (-2, 4) and (4, -6).
We have the distance formula as follows :
DISTANCE FORMULA :
The distance between the points (a, b) and (c, d) is given as
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
Therefore, the distance between the points (-2, 4) and (4, -6) is given by
[tex]D\\\\=\sqrt{(4-(-2))^2+(-6-4)^2}\\\\=\sqrt{6^2+10^2}\\\\=\sqrt{36+100}\\\\=\sqrt{136}\\\\=\sqrt{4\times34}\\\\=2\sqrt{34}.[/tex]
Thus, the required distance between the given points is 2√34 units.
Option (C) is CORRECT.
what is the value of x?
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $18,853 , and the variable costs will be $19.75 per book. With the other method, the one-time fixed costs will total $64,853 , and the variable costs will be $8.25 per book. For how many books produced will the costs from the two methods be the same?
How many atoms are there in 2.50 mol of carbon dioxide? complete the response using standard scientific notation?
Chrissy walked 550 meters in 7 minutes and 20 seconds. If each lap is 25 meters, which is Chrissy’s MOST LIKELY time per lap in seconds? *A) 20 seconds b. 22 seconds c 42 seconds d. 64 seconds
Martin drives to work at a speed of 45 miles per hour. It takes him about 2 hours and 15 minutes to get to work. If gas costs $2.75 per gallon and Marin’s car gets 25 gallons of gas per mile, about how much does Martin spend on gas to get to work? a. 3.87 b. 4.05 c. 10.64 d. 11.14