Answer:
y= x-2y = 4/5 x+39/5Step-by-step explanation:
1.
[tex](3,1) and\:perpendicular \:to \: y = -x+1\\(3,1) = (x,y)\\m = -1\\In\: perpendicularism ; m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{-1} \\m_2 =1\\y = mx+c\\1 = 1(3) +c\\1=3+c\\1-3=c\\-2 =c\\Substitute \:new \:values\:into\\y =mx+c\\y = 1x -2\\y = x-2[/tex]
2.
[tex](-1,7) =(x_1,y_1)\\\\5y = 4x+5\\\\Write\:in\:y=mx+c\:form\\\frac{5y}{5} = \frac{4}{5} x + \frac{5}{5} \\y = \frac{4}{5} x +1\\m = \frac{4}{5} \\\\y -y_1=m(x-x_1)\\y-7=\frac{4}{5} (x -(-1)\\y -7 = 4/5(x+1)\\y -7 = 4/5x +4/5\\\\y = \frac{4}{5} x+\frac{4}{5} +7\\\\y = \frac{4}{5} x +39/5[/tex]
Thirty years ago, police would check a highway for speeders by sending a helicopter up in the air and observing the time it would take for a car to travel between two wide lines placed 1/10th of a mile apart. On one occasion, a car was observed to take 7.2 seconds to travel this distance.
What is the speed of this car in miles per hour?
==============================================
Work Shown:
1/10 = 0.1
0.1 mile = 7.2 seconds
1 mile = 72 seconds (multiply both sides by 10)
1/72 mile = 1 second (divide both sides by 72)
3600/72 = 3600 seconds (multiply both sides by 3600)
50 miles = 3600 seconds
50 miles = 1 hour
The car's speed is 50 mph
Note: 1 hour = 60 min = 60*60 = 3600 seconds
Factor the polynomials to find if x - 5 is a root of the polynomial x^3 - 2x^2 - 13x - 10. (Use synthetic division or long division). Picture attached and answer options below.
Answer:
Option (3)
Step-by-step explanation:
Given polynomial is (x³ - 2x² - 13x - 10).
If (x - 5) is a factor of the given polynomial, other factors can be found by the synthetic division.
5) 1 -2 -13 -10
- 5 15 10
1 3 2 0
Therefore, other factor of the given polynomial will be (x² + 3x + 2)
And the factored form of the polynomial will be,
(x - 5)(x² + 3x + 2)
Option (3) will be the answer.
what's the square root of 57?
Answer:
the square root of 57 is 7.549834435
=7.5
Step-by-step explanation:
press square root followed by 57 on your calculatori think this is rlly easy but here ya go :/
The house Trevor's family lives in has 666 people (including Trevor) and 333 bathrooms. In the past month, each person showered for an average of 480480480 minutes and used an average 727272 liters of shower water (over the entire month). Water costs 0.200.200, point, 20 dollars per liter. How much did Trevor's family pay per minute on shower water?
Using proportions, we find that: Trevor's family paid $0.03 per minute on shower water.
---------------------------------
This question is solved using proportions.
There are 6 people in the house.There are 3 bathrooms in the house.Each person used an average of 72 liters of shower.Thus, the total amount of liters used is:
[tex]L = 72 \times 6 = 432[/tex]
---------------------------------
432 liters used.Each liter costs $0.2.Thus, the total amount paid was of:
[tex]A = 432 \times 0.2 = 86.4[/tex]
---------------------------------
Total of 86.4 dollars.Total of 6x480 = 2880 minutes.The amount of dollars per minute is:
[tex]D = \frac{86.4}{2880} = 0.03[/tex]
Trevor's family paid $0.03 per minute on shower water.
A similar question is given at https://brainly.com/question/24342347
Trevor's family paid $ 1.33 per minute on shower water.
Since the house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms, and in the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month), and water costs 0.20 dollars per liter, to determine how much did Trevor's family pay per minute on shower water, the following calculation must be performed:
You must multiply the number of liters by its value, and divide that result by the number of minutes that each person consumed, in order to obtain the value per minute on shower water.
((480 x 6) x 0.2) / (6 x 72) = X(2880 x 0.2) / 432 = X576/432 = X1.333 = XTherefore, Trevor's family paid $ 1.33 per minute on shower water.
Learn more in https://brainly.com/question/13643409.
mona started making oatmeal cookies at 11:40 A.M. It took her 1 hour and 10 minutes to make the dough and 1 hour and 50 minutes to bake all of the cookies. What time was it when mona finished making cookies.
Answer:
14:40 P.M or 2:40 P.M
Step-by-step explanation:
Mona started making oatmeal cookies at 11:40 A.M. What time did she finish:
Making the dough = 1 hour and 10 minutes (1:10)
Baking all the cookies = 1 hour and 50 minutes (1:50
11:40 + 1:10 = 12:50 P.M
12:50 + 1:50 = 14:40 P.M
She finished making cookies at 14:40 P.M or 2:40 P.M
SOMEONE PLZ HELP ME ASAP!!!!
Answer:
hyp=12.76
Step-by-step explanation:
sin36=opp/hyp
hyp=opp/sin36
hyp=7.5/sin36
hyp=12.76 rounded to the nearest hundredth
How are you? Question of the day is ..... 270 + 19 x 673 =
Answer:
13,057
Step-by-step explanation:
A: 15
B: 21
C: 26
D: 105
Answer:B=21
Step-by-step explanation:
it is because combined J an N are 105 across from that is the same so x is 21 because 5(x) = 21 u do 105 divided by 5 to get the answer
how do you do this?
One card is to be drawn from a deck of 52 cards.The deck includes four types of cards.Red heart, red stars , black triangles , black circles .Each type has 13 cards numbered 1-13.What is the probability of drawing a red one a, black three , or a six of hearts.Give your answer in the simplify form .
Answer:
red one = 1/26
black three = 1/26
six of hearts = 1/52
671 ÷24showing work please and thank you
Answer: 27.958333333333333333333333333333........
Step-by-step explanation: Use long division method or do rounding method round each number and divide.
Answer:
The answer is 27.9583333333
Step-by-step explanation:
24 goes into 67 two times
24+24=48
67-48=19
add back in the 1
how many times does 24 go into 191
it goes into 191 7.9583333333 times
so final answer 27.9583333333 it might be confusing but
Given the function f(x)=-x^2+3x, express the value of {f(x+h)-f(x)}{h} in simplest form.
Answer:
[tex]f'(x) = 3-2\cdot x[/tex]
Step-by-step explanation:
Let be [tex]f(x) = -x^{2}+3\cdot x[/tex], such that:
[tex]f'(x) = \frac{f(x+h)-f(x)}{h}[/tex]
Hence,
[tex]f(x+h) = -(x+h)^{2}+3\cdot (x+h)[/tex]
[tex]f(x+h) = -(x^{2}+2\cdot x\cdot h + h^{2})+3\cdot x + 3\cdot h[/tex]
[tex]f(x+h) = -x^{2}+(3-2\cdot x) \cdot h - h^{2}+3\cdot x[/tex]
[tex]f(x) = -x^{2}+3\cdot x[/tex]
Then,
[tex]f'(x) = \frac{-x^{2}+(3-2\cdot x)\cdot h-h^{2}+3\cdot x+x^{2}-3\cdot x}{h}[/tex]
[tex]f'(x) = \frac{(3-2\cdot x)\cdot h-h^{2}}{h}[/tex]
[tex]f'(x) = 3-2\cdot x -h[/tex]
If [tex]h \longrightarrow 0[/tex], then:
[tex]f'(x) = 3-2\cdot x[/tex]
Aaron and Betty went bowling. Betty scores twice the difference of Aaron's score and 5 . The sum of their scores is 320. Find each students bowling score.
Answer:
Aaron=110
Betty=210
Step-by-step explanation:
the photo contains the needed working out
The ratio of the profit, material cost and production labour is 5:7:13. If the material cost is 840 more than that of labour, find the total cost of producing the article. Plss
Answer:
Total cost of producing is 2800.
Step-by-step explanation:
Given
Ratio of profit, material cost and production labour is 5:7:13.
Material cost is 840 more than that of labour cost.
To find:
Total cost of producing the article.
Solution:
Cost of producing the article includes material cost and the labour cost.
Profit will not be included in the production cost because profit comes in the picture after the article is sold.
We are given that, the ratio is:
Profit: Material Cost: Production Labour = 5:7:13
So, we can let Material Cost = 7[tex]x[/tex] and
Production Labour = 13[tex]x[/tex]
As per the question statement:
[tex]13x-7x=840\\\Rightarrow 6x=840\\\Rightarrow \bold{x=140}[/tex]
Total cost of producing = Material Cost + Production Labour
Total cost of producing = 7[tex]x[/tex] + 13[tex]x[/tex] = 20[tex]x[/tex] = 20 [tex]\times[/tex] 140 = 2800
So, Total cost of producing is 2800.
What is the circumference of a tire in inches given the following data: P255/95R20 (25.4mm/ inch)? (MAAD_A2014-1a & MAMDMN1a) Question 2 options: a) none of the other choices b) 92.68 inches c) 1,584.93 inches d) 122.77 inches
Answer:
Step-by-step explanation:
None of the other choices
Terry is filling spherical water balloons with a faucet that puts out 100 cm^3 of water per second. At least rate, it takes Terry 6 seconds to fill a balloon. What is the radius of a filled balloon?
Answer:
its 5 cm
Step-by-step explanation:
its what I got off of Khan
The radius of a filled balloon is approximately 5.22 cm.
What is the volume of a sphere?The volume of a sphere is given by the formula V = (4/3)πr³, where V is the volume and r is the radius.
Let's first find the volume of a filled balloon.
Since Terry can fill a balloon in 6 seconds and the faucet puts out 100 cm³ of water per second, the volume of a filled balloon is:
V = 6 × 100 = 600 cm³
Now we can use the formula for the volume of a sphere to find the radius.
Rearranging the formula, we get:
[tex]r = [\dfrac{3V}{4\pi}]^{(1/3)}[/tex]
Substituting V = 600 cm³, we get:
[tex]r = [\dfrac{3\times600}{4\pi}]^{(1/3)}[/tex]
r ≈ 5.22 cm
Therefore, the radius of a filled balloon is approximately 5.22 cm.
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PLS HELP!!
24a-3+4a-3y+7
Answer:
28 a − 3 y + 4
Calculate the slope of a line that passes through the points (2, 6) and (4, 2) *
Answer:
-2
Step-by-step explanation:
Given:
Points (2, 6) and (4, 2)Slope formula:
m = (y2-y1)/(x2-x1)Using the given points:
m = (2- 6)/(4 - 2) = -4/2 = -2Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors. She receives a delivery of 444 tons of wood each day. The deliveries can continue for 100100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 210021002100 sailors. What is the number of ships Astrid can build, assuming she receives the maximum possible amount of wood?
Answer:
10 Ships
Step-by-step explanation:
Khan Academy
The number of ships Astrid can build is 10, assuming she receives the maximum possible amount of wood.
What is multiplication is mathematics?Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes.
Given that:
Astrid receives a delivery of 4 tons of wood each day.
The deliveries can continue for 100 days at most.
At most, she received amount of wood = 4 × 100 tons = 400 tons.
Each ship requires 40 tons of wood.
Number of ships required = (400÷40) = 10.
Each ship accommodates 300 sailors.
She have to build enough ships to accommodate = (300 × 10) = 3000 sailors.
Again, she wants to build enough ships to accommodate at least 2100 sailors.
As 3000>2100; the number of ships Astrid can build is 10.
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Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1
Answer:
x>8 and x<6
Step-by-step explanation:
well first the values of x-7 have to be greater than 1 or, less than -1
because if x-7=-2 then |-2|=2>1 satisfying the equation
so we have
[tex]x-7>1\\\\x-7+7>1+7\\\\x>8[/tex]
and we have
[tex]x-7<-1\\\\x-7+7<-1+7\\\\x<6[/tex]
to graph it it goes from (-∞,6)∪(8,∞)
10 points What is the slope of the function y 4x - 6 Type your answer
Answer:
4
Step-by-step explanation:
Show all work to factor x^4-10x^2+9 completely
Answer:
[tex](x^{2}-9)(x^{2} -1)[/tex]
Step-by-step explanation:
Step 1: Find what adds to _ and multiples to_
It needs to multiple to the 'c' term or 9
It needs to add to the 'b' term or -10
Step 2: Find the numbers
We know -9 and -1 make 10 and multiple to 9
-9 x -1 = 9
-9 + (-1) + -10
Step 3: Write equation in form a(x-r)(x-s)
a = 1
r = -9
s = -1
Plug in the equation to get the factored form of the equation:
[tex](x^{2}-9)(x^{2} -1)[/tex]
Therefore the factored form of the equation is [tex](x^{2}-9)(x^{2} -1)[/tex]
Quadratic equations are also a type of algebraic fractions that have factors.
The factor of [tex]x^{4} - 10x^{2} + 9 = (x -3)(x + 3)(x - 1)(x + 1)[/tex]
In order to completely factor [tex]x^{4} - 10x^{2} + 9[/tex] we would apply the formula:
a(x-r)(x-s)
To find the variables a, x, r and s, we have to love at the coefficients of [tex]x^{2}[/tex] which is -10 and the term 9 and find out what can we multiply together to give us 9 and add together to give us -10
That would be , -9 and - 1 because:
-9 x -1 = 9
-9 + (-1) = -10
Hence: the value for a = 1
, r = -9 and s = -1
Putting this into the equation:
1(x -(-9)(x - (-1))
Hence, we have:
[tex](x^2-9)( x^{2} - 1)[/tex]
Factorizing the above expression further, we have
[tex](x - 3)(x + 3)(x - 1)(x + 1)[/tex]
Therefore, the factor of [tex]x^{4} - 10x^{2} + 9 = (x -3)(x + 3)(x - 1)(x + 1)[/tex]
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Find the value of an exterior angle of a polygon with 12 sides
Answer:
[tex]\huge \boxed{30\°}[/tex]
Step-by-step explanation:
To find the value of an exterior angle of a regular polygon, we can apply a formula.
[tex]\displaystyle \frac{360}{n}[/tex]
[tex]n = \sf number \ of \ sides[/tex]
[tex]\displaystyle \frac{360}{12}=30[/tex]
Answer:
30°
Step-by-step explanation:
For a regular n -gon, the measure of an exterior angle is 360 ˚ / n
Since the sides give has 12 sides, (dodecagon)
the exterior angles is 360° / 12 = 30°
e Ann, Claire, and Josh collect stickers. One week, Ann collects 7 more stickers than Josh. Josh collects twice as many stickers as Claire. If they collect a total of 157 stickers, how many stickers did each collect?
Answer: Ann = 67 Josh = 60 Claire = 30
Step-by-step explanation: You get the equation 5x+7 = 157. You get the equation because for example, Claire = x then josh = 2x and Ann = 2x + 7. You do all the math and boom! You get the answer :)
The number of stickers collected are:
Ann = 67
Claire = 30
Josh = 60
Given,
Ann, Claire, and Josh collect stickers.
One week, Ann collects 7 more stickers than Josh.
Josh collects twice as many stickers as Claire.
Total tickets collected = 157 stickers.
We need to find out how many stickers each collected.
Let the tickets collected by Ann, Claire, and Josh be A, C, and J.
We can write the following equation:
Ann collects 7 more stickers than Josh.
A = 7 + J _______(1)
Josh collects twice as many stickers as Claire.
J = 2C_______(2)
Total tickets collected = 157 stickers.
A + C + J = 157 ______(3)
Solve the equation (1), (2), and (3).
A = 7 + J _____(1)
J = 2C _______(2)
A + C + J = 157 ______(3)
Put J = 2C in A = 7 + J
A = 7 + 2C ______(4)
Put (2), (4) in (3)
7 + 2C + C + 2C = 157
7 + 5C = 157
Subtracting 7 on both sides.
7 + 5C - 7 = 157 - 7
5C = 150
Dividing both sides by 5.
C = 30
Putting C = 30 in J = 2C
J = 2x30 = 60
J = 60
Putting J = 60 in A = 7 + J
A = 7 + 60
A = 67
Thus the number of stickers collected are:
Ann = 67
Claire = 30
Josh = 60
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Solve for t
9t=10t+3
t=
Answer:
[tex]\huge\boxed{t=-3}[/tex]
Step-by-step explanation:
[tex]9t=10t+3\\\\9t-10t=10t-10t+3\\\\\rightarrow\boxed{-t=3}\\\\\frac{-t}{-1}=\frac{3}{-1}\\\\\boxed{t=-3}[/tex]
Brainliest for the correct awnser!! A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.What is the line of best fit?A.y = –0.984x + 13.5B.y = –2.9x + 13.5C.–0.984 = –2.9x + 13.5D.y = 13.5x – 2.9
Answer:
Option B
Step-by-step explanation:
Taking the derivative of the residual function, then applying the normal equation:
[a; b] = (X'*X)^(X'*y)
with
X = [1 1; 2 1; 3 1; 4 1; 5 1]
X' is transpose of X
y = [11; 8; 4; 1; 0]
[a; b] = [-2.9 13.5]
Create a table of points from the equation f (x) = 3x2 – 8x + 2. (1 point)
Answer/Step-by-step explanation:
Using [tex] f(x) = 3x^2 - 8x + 2 [/tex], simply plug each value of x into the function to get f(x) values.
Thus, when x = -1
[tex] f(-1) = 3(-1)^2 - 8(-1) + 2 [/tex]
[tex] f(-1) = 3*1 + 8 + 2 = 3 + 8 + 2 [/tex]
[tex] f(-1) = 13 [/tex]
[tex] f(0) = 3(0)^2 - 8(0) + 2 [/tex]
[tex] f(0) = 0 - 0 + 2 = [/tex]
[tex] f(0) = 2 [/tex]
[tex] f(1) = 3(1)^2 - 8(1) + 2 [/tex]
[tex] f(1) = 3*1 - 8 + 2 = 3 - 8 + 2 [/tex]
[tex] f(1) = -3 [/tex]
[tex] f(2) = 3(2)^2 - 8(2) + 2 [/tex]
[tex] f(2) = 3*4 - 16 + 2 = 12 - 16 + 2 [/tex]
[tex] f(2) = -2 [/tex]
[tex] f(3) = 3(3)^2 - 8(3) + 2 [/tex]
[tex] f(3) = 3*9 - 24 + 2 = 27 - 24 + 2 [/tex]
[tex] f(3) = 5 [/tex]
The correct table for the function is the last option.
escribe la ecuación canónica de la elipse con centro en el origen que pasa por el punto (2,1) y cuyo eje menor mide 4 y se encuentra sobre el eje Y
Answer:
Ur mummm u cheater
Step-by-step explanation:
Evaluate 5/8-(1/4)2=
Answer:
0.125
Step-by-step explanation:
(5 divided by 8) - ((1 divided by 4) x 2) = 0.125
Answer:
1/8
Step-by-step explanation:
Because of BEDMAS, we first multiply, then subtract.
We multiply 1/4 and 2, getting 2/4, or 1/2.
Then, our expression becomes 5/8 - 1/2.
We can evaluate:
5/8 - 1/2 = 5/8 - 4/8 and simplify, getting 1/8.