Step-by-step explanation:
Let m and c be the slope and y-intercept respectively,
(y-3)/(x-9) = m
y-3 = mx-9m
y= mx - 9m+3
y = mx + 3(1-3m)
A store is currently offering a 60% discount on all items purchased. Your cashier is trying to convince you to open a store credit card and says to you, “ In addition to the 60% discount you are receiving for purchasing these items on sale today you will get an additional 20% off for opening a credit card account. That means you are getting 80% off!
If we were getting 60% discount early and then again we are receiving 20% discount for using credit card then it means that we are getting 80% discount.
What is discount?Discount means the amount which is deducted by sellers from the amount to be payable by buyers.
How to calculate discount?Let the total price to be paid by us to store is $100.
Discount received because on purchase on sale day=100*60%
=60
Discount received due to use of credit card=100*20%
=20
Total discount received from store=60+20
=80
Percentage=80/100*100
=80%
Hence the total discount received by us from store is 80%.
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Cosx(tanx+cotx)=
Pls Help
Answer:
Answer is csc(x)
Step-by-step explanation:
I convert tan(x)= sin(x)/cos(x) and cot(x)= cos(x)/sin(x).
Then distribute the cos(x).
Then turn it into fractor that has same denominator.
Simplified the numerator sin^2(x)+cos^2(x)=1
[tex]cos(x)*\((tan(x)+cot(x))\\\\cos(x)*(\frac{sin(x)}{cos(x)} +\frac{cos(x)}{sin(x)})\\\\sin(x)+\frac{cos^2(x)}{sin(x)}\\\\sin(x)*\frac{sin(x)}{sin(x)}+\frac{cos^2(x)}{sin(x)}\\\\\frac{sin^2(x)}{sin(x)}+\frac{cos^2(x)}{sin(x)}\\\\\frac{sin^2(x)+cos^2(x)}{sin(x)}\\\\\frac{1}{sin(x)}\\\\csc(x)[/tex]
Answer:
→cosecx
Step-by-step explanation:
[tex]\hookrightarrow cosx(tanx+cotx)\\\\\hookrightarrow cosx(\frac{sinx}{cosx} +\frac{cosx}{sinx} )\\\\\hookrightarrow cosx(\frac{sinx \times sinx + cosx \times cosx}{cosx*sinx} )\\\\\hookrightarrow cosx(\frac{sin^{2}x+cosx^{2}x}{cosx*sinx} )\\\\\hookrightarrow cosx(\frac{1}{cosx*sinx} )\\\\\hookrightarrow cosx \times \frac{1}{cosx} \times \frac{1}{sinx} \\\\\hookrightarrow 1\times\frac{1}{sinx} \\\\\hookrightarrow \frac{1}{sinx} \\\\\hookrightarrow cosecx[/tex]
Can yall help me with this pls
IM NOT UNDERSTAND THIS EQUATION CAN SOMEBODY HELP ME
Answer:
x = 0, mult: 3x = -4, mult: 2x = -5, mult: 2Step-by-step explanation:
When a polynomial is shown in factored form, its zeros are the values of x that make the factors zero.
The factor x is zero when x=0.
The factor (x+4) is zero when x=-4.
The factor (x+5) is zero when x=-5.
__
The multiplicity of a zero is the number of times a given factor is a factor of the polynomial. It is the exponent of the factor.
x = 0 has multiplicity 3.
x = -4 has multiplicity 2.
x = -5 has multiplicity 2.
You want to buy a television priced at $479 with a 6.5% sales tax. What is the final cost of the television, after-tax? Round to the nearest cent.
Answer:
On Knewton May 15,2022 $510.14
Step-by-step explanation:
Find the volume, in cubic feet, of the solid with the regular base to the nearest tenth.
Answer:
Step-by-step explanation:
Remark
The base of the figure is a pentagon
The area of the base of a pentagon is
A=(1/4) * √[5(5+2√5)] * s2
The Formula for the Volume of a "pyramid" of this nature is
Volume = Base * h / 3
Givens
h = 10 feet
s = 8 feet
Base = formula in the remark section
Solution.
Find the base first.
A=(1/4) * √[5(5+2√ 5)] * s2 Find the value of 5 + 2√5
Area = 0.25√[5*(9.47)] * s^2 Find what is under the root sign
Area = 0.25√47.36 * s^2 Take the square root of 47.36. use s = 8
Area = 0.25 * 6.88 * 8^2 Combine.
Area = 110.11
Now find the volume
V = B * h/3
V = 110.11 * 10 / 3
V = 367.04 cubic feet.
13-18 Express the quantity as a single logarithm.
13. [tex]2 \ln x+3 \ln y-\ln z[/tex]
[tex]2 \ln x+ 3 \ln y - \ln z\\\\=\ln x^2 + \ln y^3 - \ln z\\\\=\ln(x^2 y^3) - \ln z\\\\=\ln \left( \dfrac{x^2y^3}{z} \right)[/tex]
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A teacher wants to assign 4 of the 15 practice problems at the end of the lesson. How many different assignments are possible?
Answer:
15/4= 3.75
Step-by-step explanation:
Logic question.
Promise the Brainliest if you provide the answer with a solid explaining.
Thanks :)
Select the expressions that have a value less than -1.
A. -7 ÷ (-4)
B. – (3 ÷ 2)
C. -8/5 x (-5/8)
D. -5/-3
E. (-9) ÷ 6
Answer:
B and E
Step-by-step explanation:
A. -7 ÷ (-4) = -7/-4 = 7/4 = 1.75
B. -(3 ÷ 2) = -(1.5) = -1.5
C. -8/5 * (-5/8) = (8/5) * (5/8) = 1
D. -5/-3 = 5/3 ≈ 1.667
E. -9 ÷ 6 = -9/6 = -1.5
Sandra 11.2 kilometers after school while her brother ran 8000 meters who ran more ?
Answer:
Sandra ran more. She would have ran a total of 11,200 meters. While her brother only ran 8,000 meters. Now to find excatly how much did she go? Well subtract 11,200-8,000 to get an answer of 3200. So Sandra ran 3,200 meters father then her brother.
Step-by-step explanation:
Hope This Helps
Have A Great Day
~Zero~
Answer: Sandra
Step-by-step explanation: Because 11.2 kilometers is a bigger number then 8,000 and also 11.2 kilometers is 11,000.2 and 8,000 as an kilometer is 8. Hope it Helps
The number of wins in the American Baseball League, Central Division, for a recent year is given in the table. Find the mean number of wins. Round your answer to one decimal place.
The mean number of wins for the five teams is ______wins?
Answer:
add sll number so you will get answer
dd
Step-by-step explanation:
Find the volume of the pyramid.
A pentagonal pyramid with base labeled as B equals 210 square inches. The height of the pyramid is 30 inches.
Answer:
6300in
Step-by-step explanation:
vol=base area x height
210x30
=6300in
Find the surface of the rectangular prism
Answer:
yes multiply the 3 sides 3 times together with the number 2
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
[tex]\sf x=\boxed{18.21}[/tex]
Step-by-step explanation:
Assuming this is a right triangle.
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 35°O = xA = 26[tex]\implies \sf \tan(35^{\circ})=\dfrac{x}{26}[/tex]
[tex]\implies \sf x=26\tan(35^{\circ})[/tex]
[tex]\implies \sf x=18.20539599...[/tex]
Therefore, x = 18.21 (nearest hundredth)
The cost of beef decreases weekly at a rate of 10.2%. If beef cost $15.75 per pound today. How much will it cost in 2 years? ( round to the nearest cent (2 decimal places) )
Answer:
$ 383 854.28 per pound ====> See below !!
Step-by-step explanation:
Increases 10.2 % per WEEK (?? Per WEEK?))
2 years is 104 weeks (this is going to be a HUGE number)
15.75 (1+.102)^104 =
If increase is YEARLY
15.75 ( 1 + .102)^2 = $ 19.13 per pound <<<<after two years
Please see attached photo for problem from my homework set.
Answer:
see below
Step-by-step explanation:
(7y +9 )(7y +9 ) or (7y+9)^2 you ALMOST had it...just missed the parentheses !
A rectangular tabletop will be made of maple
wood that weighs 43 pounds per cubic foot. The
tabletop will have a length of eight feet, a width
of three feet, and a thickness of one inch.
Determine and state the weight of the tabletop,
in pounds.
A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot. The weight of the tabletop, in pounds, is 1032.
What is the volume of the rectangular tabletop?The volume of the rectangular tabletop is the product of the length, breadth, and height of the given tabletop.
Volume of rectangular tabletop= (length x width x height)
The tabletop will have a length of eight feet, a width of three feet, and a thickness of one inch.
Volume of rectangular tabletop= (length x width x height)
= [tex]8 \times 3 \times 1\\\\24[/tex]
A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot.
The weight of the tabletop, in pounds = 43 x 24
= 1032 pounds
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Find the area of the parallelogram. (the far right number is 10.5m and the bottom is 12m)
84 m2
96 m2
126 m2
108 m2
HI BRAINLY USER!!
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰JUST CLICK THE ATTACHMENT PHOTO SolutionA = bh = 10.5·12 = 126Ans :➝ 126 m2
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What does 4! Equal?show the equation and what it equals
Answer:
[tex]\boxed{\sf{24}}[/tex]Step-by-step explanation:
To solve this problem, first, you have to use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract4!Use the fractional rule.
[tex]\Longrightarrow: \sf{n!= 1*2*3*4}[/tex]
First, multiply.
1*2=2
2*3*4
2*3=6
6*4=24
[tex]\Longrightarrow: \boxed{\sf{24}}[/tex]
Therefore, the correct answer is 24.I hope this helps. Let me know if you have any questions.
A standard deck of cards has 13 cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, ace) in each
of 4 suits (hearts, clubs, diamonds, spades). The hearts and diamonds cards are red. The
clubs and spades cards are black. You choose a card from a standard deck of cards at
random. What is the probability that you do not choose a club?
The probability that you do not choose a club is
Answer:
3/4
Step-by-step explanation:
Prob to pick a club is 13/52
Prob not to pick a club is 1 - 13/52
1 - 13/52 = 3/4
Pls help me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the x-axis and time on the y-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
A rectangular window has a height of 5 1/2 feet and a width of 1 1/2 feet. What is the perimeter of the window?
A. 7 feet
B. 13 feet
C. 14 feet
D. 28 feet
Answer:
Your answer is C, 14ft
Step-by-step explanation:
Your Given Measurements (in feet):
Height = 5 1/2 ; Width = 1 1/2
___________________________________________________
The Perimeter Formula:
L + W + L + W = P
In this case, the "L" which is length going to get substituted as Height.
5 1/2 is 5.5 because if you do 1/2 on the calculator, you get 0.5 which you can add 5 to get 5.5.
1 1/2 is 1.5 which is the same as the 5 1/2.
____________________________________________________
Now do 5.5 + 1.5 + 5.5 + 1.5 = perimeter
5.5 + 1.5 = 7
7 + 7 = 14ft
Your answer is C: 14 ft
Algebra Write an expression representing the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r.
The expression that represents the volume of the composite figure is 16/3πr³ + r³
The expression that represents the volume?The given parameters are:
Hemisphere radius = rCube length = rThe volume of a cube is:
V = l³
So, we have:
V = r³
The volume of a hemisphere is:
V = (2/3)πr³
So, we have:
V = (2/3)π(2r)³
Evaluate
V = (2/3)π * 8r³
This gives
V = 16/3πr³
Add both volumes
Volume = 16/3πr³ + r³
Hence, the expression that represents the volume of the figure is 16/3πr³ + r³
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A man traveled 24 miles in 20 minutes and 18 miles in 15 minutes. Assume that the distance varies linearly with time. How far will he travel in 30 minutes
Step-by-step explanation:
First we need to get his speed:
speed = distance / time
If he travelled 24 miles in 20 mintues, his speed is 24 / 20 = 1.2 miles per minute
If he travelled 18 miles in 15 minutes, his speed is 18 / 15 = 1.2 miles per minute
Those two should give us the same answer since it says that the distance varies linear with time, which means that his speed is constant.
Then after 30 minutes he will have traveled: 1.2 x 30 = 36 miles
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In the decimal 14.8765 the 5 is in the
place.
Answer:
The 5 is in the thousandths place
8 is the 'ones'
7 is the tenths
6 is the hundredths
5 is the thousandths
Step-by-step explanation:
On the map below 1/4 inch represents one mile. Candler, Canton, and Oteen are three cities on the map. If Candler and Oteen are 3 1/2 inches apart on the map, what is the actual distance between Candler and Oteen in miles?
14 miles
Step-by-step explanation:Let "Candler" be known as "C" and "Oteen" as "O"
Given:
0.25 inch = 1 mileDistance between "C" and "O" (In inches): 3.5 inches3.5 ------> 3.50
⇒ Distance between "C" and "O" (In inches): 3.50 inchesComparing the rate (inches/mile) and the distance:
⇒ 0.25x = 3.50Multiplying both sides by 100:
⇒ 25x = 350Clearly, 350 is divisible by 25 as "50" is divisible by 25.
Divide both sides by 25 to isolate x:
⇒ 25x/25 = 350/25⇒ x = 14The actual distance between the two cities is 14 miles.
Answer:
14 miles
Step-by-step explanation:
Given:
[tex]\sf Scale=\dfrac14\:in : 1\:mile[/tex]distance between Candler and Oteen is 3 1/2 inLet [tex]x[/tex] be the distance between Candler and Oteen in miles.
[tex]\implies \dfrac14:1=3 \frac12:x[/tex]
[tex]\implies \dfrac{\frac14}{1}=\dfrac{\frac72}{x}[/tex]
[tex]\implies \dfrac14x=\dfrac72[/tex]
[tex]\implies x=\dfrac72 \div \dfrac14[/tex]
[tex]\implies x=\dfrac72 \times \dfrac41[/tex]
[tex]\implies x=\dfrac{28}{2}[/tex]
[tex]\implies x=14[/tex]
What is the result of adding -3x²-5x +1 and 8x²-2x-9?
Hi!
Your answer is [tex]5x^2-7x-8[/tex].
We are asked:
[tex](-3x^2-5x+1)+(8x^2-2x-9)[/tex]
As we are adding them, we can remove the parenthesis.
[tex]-3x^2-5x+1+8x^2-2x-9[/tex]
Now, we can switch the order of the terms around to cause like terms to be by each other:
[tex]-3x^2+8x^2-5x-2x+1-9[/tex]
Finally, add like terms:
[tex]5x^2-7x-8[/tex]
5x² -7x -8 is the result of adding the polynomials -3x²-5x +1 and 8x²-2x-9. The result obtained by combining the like terms.
The two polynomials are -3x²-5x +1 and 8x²-2x-9.
To add the two polynomials, you simply combine like terms.
Like terms are terms that have the same variable raised to the same power.
In this case, the variables are x² and x.
Let's add the given polynomials:
= -3x²-5x +1 + 8x²-2x-9
Group the like terms:
= -3x²+ 8x²-5x-2x+1-9
Combine like terms:
= 5x² -7x -8
Hence, 5x² -7x -8 is the result of adding -3x²-5x +1 and 8x²-2x-9.
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Change the following fraction to a mixed number with the fraction part reduced to lowest terms. 84/42
Answer:
2
Step-by-step explanation:
since you have 84/42, and you are supposed to convert the improper fraction to a mixed number, the easiest place to start is to divide the two numbers and find the remainder. In this case, however, there is no remainder, as 84 divided by 42 is exactly 2. Therefore, the most simplified fraction would be 2 (although it does not look like a fraction the most simplified form of the fraction is 2/1 --> which is just 2). Hope this helps!