Answer:
y = (-3/2)x + 4
Step-by-step explanation:
The slope of the given line is 2/3. The slope of any line perpendicular to the given line is the negative reciprocal of 2/3, which comes out to -3/2.
Now we have the slope of the new line and know that it passes through (0, 4). (0, 4) happens to be the y-intercept, b, in y = mx + b:
Substituting -3/2 for m and 4 for b, we get y = (-3/2)x + 4.
Thang decided to borrow $90 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 40%. How much interest will Thang pay?
Answer:
Step-by-step explanation:
P = 90
r = 40% = 40/100 = 0.4
t = 3 years
It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.
I will take it as 40% for each year for 3 years.
i = prt = 90 * 0.4 * 3
i = 108
help help helpppppppppp
Answer:
28 answer write ✍️ now ok
(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)
Answer:
4 5
Step-by-step explanation:
I got it right here.
The factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).
What is Factorize?The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.
Given:
(20x² – 12x) + (25x– 15)
or, 4x(5x – 3) + 5(5x – 3)
or, (4x+ 5)( 5x- 3)
Hence, the factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).
Learn more about factorize here:
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78% of a certain food is fat. Out of 100 total grams, how many grams are
not fat?
Calculate the Kinetic Energy when the mass of the car is 1,200kg and the speed
is 11.11 m/s.
Answer:
74059.3 J
Step-by-step explanation:
KE = I/2mv²
KE = 1/2(1200)(11.11)²
KE = 1/2(1200)(123.4321)
KE = 74059.26 J
Answer
74059.26J
Explanation
Formula
EK=mv^/2
m=1200kg
v=11.11m/s
E=1200kg×(11.11m/s)^/2
E=74059.26J
xy + x3 ( That 3 is cube )
Please help 7th grade math
Answer:
x=20, g=100, f=80
Step-by-step explanation:
when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be
3x+40+5x-20=180
8x+20=180
8x=160
x=20
Finding g
3(20)+40
60+40
g=100
FInding f
5(20)-20
100-20
f=80
Hihi , please help if able.
Answer:
Step-by-step explanation:
Area of the rectangular garden is given by the expression,
Area = 6(2x + 5y)
By distributive property,
6(2x + 5y) = 12x + 30y
Therefore, equivalent expression for the area will be,
Area = (12x + 30y)
For x = 3 and y = 4,
Area = 12×(3) + 30×(4)
= 36 + 120
= 156
Area of the rectangular garden = 156 square feet.
If 3x = y - 5 and x = -4, then y =
plz show work
Answer: y= -7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
(3)(−4)=y−5
−12=y+−5
−12=y−5
Step 2: Flip the equation.
y−5=−12
Step 3: Add 5 to both sides.
y−5+5=−12+5
y=−7
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3x = y - 5}\\\\\large\textsf{3(-4) = y - 5}\\\\\large\textsf{3(-4) = \boxed{\bf -12}}\\\\\large\textsf{-12 = y - 5}\\\\\large\textsf{TURN the EQUATION}\\\\\large\textsf{y - 5 = 12}\\\\\large\textsf{ADD 5 to BOTH SIDES}\\\\\large\textsf{y - 5 + 5 = -12 + 5}\\\\\large\textsf{CANCEL out: -5 + 5 because that gives you 0}\\\large\textsf{KEEP: -12 + 5 because that gives you the y-value}\\\\\large\textsf{y = -12 + 5}\\\\\large\textsf{-12 + 5 =\boxed{\bf -7}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -7}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
what is the possibility of going school on a saturday?
Answer:
I personally think there's a low chance of going to school on a Saturday since the only reason that I have in mind is that the student needed help catching up and completing their work. Another reason a student may go to school on a Saturday is because they're part of student senate/student council and they're planning for something there.
Hope I helped :)
a shade of violet paint is made from 16 parts of blue paint mixed with 5 parts of red paint. If 4 cans of paint are used, how many cans of red paint should be used?
Answer: None because i dont like cans of paint
Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint
What is the solution to the equation V8x = V4+2x ?
p= 2/5
p= 2/3
p= 24
p= 40
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{8x}[/tex] = [tex]\sqrt{4+2x}[/tex] ( square both sides )
8x = 4 + 2x ( subtract 2x from both sides )
6x = 4 ( divide both sides by 6 )
x = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
Write as a mathematical equation.
If 25 is subtracted from a number, the result is 7.
Answer:
[tex]x-25=7[/tex]
Step-by-step explanation:
First, we must understand the operation occurring. The sentence clearly tells us that we are subtracting. The next important step is finding out the order. In the equation 25 is being taken away from the number; this means that the equation should be [tex]x-25[/tex]. Then, it says that the result is 7. This means the expression should equal 7.
Finally, x=32. This can be solved by adding 25 to both sides.
i need the answer plz
Answer:
see explanation
Step-by-step explanation:
If (x - 1) is a factor then f(1) = 0
Given
f(x) = x³ - 13x² + 32x - 20 , then
f(1) = 1³ - 13(1)² + 32(1) - 20
= 1 - 13 + 32 - 20
= 0
Since f(1) = 0 then (x - 1) is a factor
Using Synthetic division
1 | 1 - 13 32 - 20
↓ 1 - 12 20
-----------------------------
1 - 12 20 0 ← remainder
quotient = x² - 12x + 20 = (x - 2)(x - 10)
Then
x³ - 13x² + 32x - 20 = (x - 1)(x - 2)(x - 10) ← in factored form
The second term in a sequence is 13. The term to term rule is "add 6"
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
[tex]a_{n}[/tex] = 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
Answer:
the first few terms would be
7, 13, 19, 25, 31
nth term = 7 + 6(n+1)
nth term = 7+ 6n + 6
nth term = 6n + 13
The area of a rectangular field is 7626m2. If the length of the field is 93m, what is its width?
Answer:
The width is [tex]82m[/tex]
Step-by-step explanation:
------------------------------>>>>
The formula to find the area of a rectangle is [tex]A=lw[/tex]
We already know the area of the rectangular field which is [tex]7626m[/tex]
We already know the length is [tex]93m[/tex]
--------------->>>>
Now let's substitute [tex]7626[/tex] for [tex]A[/tex] because that's the area and substitute [tex]93[/tex] for [tex]l[/tex] because that's the length. After that, let's solve to find the width.
[tex]7626=93w[/tex]
Divide both sides by 93 because that's the opposite of multiplication.
[tex]82=w[/tex]
--------------->>>>
This means that the width of the rectangular field is [tex]82m[/tex]
Hope this is helpful
PLEASE ANSWER ASAP :"( I need to submit the homework and i dont understand how to do the solution
p/s PLEASE READ THIS pls ignore the another language just read the english one..
Answer:
x -2 -1 0 1
y -1 2 5 8
Step-by-step explanation:
y=3x+5
When x=-2
y=3(-2)+5
y=-6+5
y=-1
when x=-1
y=3(-1)+5
y=-3+5
y=2
whenx=0
y=3(0)+5
y=5
When x=1
y=3(1)+5
y=3+5
y=8
At 111111:55\text{ p.M.}55 p.M.55, start text, space, p, point, m, point, end text, Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the weight (i.E. The force it applies on the clock's hand to move clockwise) varies in a periodic way that can be modeled by a trigonometric function. The torque peaks 151515 minutes after each whole hour, when the minute hand is pointing directly to the right, at 3\text{ Nm}3 Nm3, start text, space, N, m, end text (Newton metre, the SI unit for torque). The minimum torque of -3\text{ Nm}−3 Nmminus, 3, start text, space, N, m, end text occurs 151515 minutes before each whole hour, when the minute hand is pointing directly to the left.
The Torque function is T(t) = 3sin((t-5)π/30).
What is Torque?When an engine exerts itself, torque, which is a twisting force, speaks to the rotational force of the engine and quantifies how much of that twisting force is accessible.
Given:
After 5 minutes Thomas ties it on, the torque is zero and increasing.
So, the sine function is shifted right 5 minutes.
and, The maximum value is 3.
Then, the multiplier of the sine function as the period is 60 minutes
Then, the coefficient of t = (2π/60)
= π/30.
Hence, the Torque function is T(t) = 3sin((t-5)π/30).
Learn more about Torque here:
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what is square of 2x-3 help me
Answer:
4x² - 12x + 9
Step-by-step explanation:
Use the foil method.
(2x - 3) (2x - 3)
= 4x²- 6x - 6x + 9
= 4x² - 12x + 9
Answer:
[tex]Square \ of \ (2x - 3) = 4x^2 - 12x + 9[/tex]
Step-by-step explanation:
[tex](a +b)^2 = a^2 + b^2 + 2ab[/tex]
[tex](2x + (- 3))^2 = (2x)^2 + ( -3 )^2 + ( 2\times 2x \times - 3)\\\\[/tex]
[tex]= 4x^2 + 9 + ( -12x)\\\\=4x^2 - 12 x + 9[/tex]
Pls help I’ll give brainless
Answer:
108.56
Step-by-step explanation:
First find the amount of the tip
92 * 18%
92 * .18
16.56
Add this to the amount of the bill
92+16.56
108.56
Answer:
108.56
Step-by-step explanation:
92$ + .18*92 = 108.56$
The rectangle has length 4.5cm and width 2.8cm. Work out the area
Answer:
11/1//11/1
Step-by-step explanation:
Hi!! I hope you are having a good day. I’m having an exam rn and I need help, these are short answers.
1. The radius of a circle is 14 cm. If π is taken as 3.14; what is the circumference of the circle.
2. Calculate: 2 3/6 + 3/6 =
3. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
4. Razon is constructing a decagon shape motel; each side measuring 12.4 cm. As the contractor, calculate the perimeter of this motel.
5. Using the division method, find the prime factors of 42? State if this number is odd or even.
6. Complete the the number sequence 1, 3, 10, 21, 64, 129_____, 777.
7. Using the factor three method, list the prime factors of 68 *
8. Don- tae decided to ship a container to JM to stock his Supermarket. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
9. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter.
Answer:
1.) 88cm
2.) 3
3.)104
Step-by-step explanation:
1) circumference= 2πr
2×22/7×14 = 88cm
Factor the answer
8y-16
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]8(y-2)[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression:}}\\\\8y-16\\------------------\\\rightarrow 8y-16\\\\\text{8 is a common factor in the terms. Pull out 8 to factor...}}\\\\\rightarrow \boxed{8(y-2)}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
We can not find the answer with with equation since there is no comparison sign. To demonstrate this lets look at a way we could solve this equation.
8y-16=32
8y=48
y=6
for the diagram below, which equation is the correct use of the distance formula?
Answer:
????
Step-by-step explanation:
Where's the equation? diagram?
Answer:
How we supposed to answer with no equation
Step-by-step explanation:
The bus seats 36 people. The van seats 12 people. What portion of seats are van seats?
Write the equation of the parabola in vertex form.
I'll give you 52 points if you answer this
Please help I’ll give brainliest
Answer:
a) 421mm² = 0.000421 m²
b) 9.3kg²= 9,300,000 g²
c) 25kL²= 25,000,000 L²
d) 1439m²= 0.001439 km²
Toni goes to a department store and buys two shirts marked the same price. She pays full price for the first shirt but gets a 40% discount on the second shirt. If she pays a total of $32.40 for the two shirts, how much did she pay for the second shirt? -Please give a real answer
Answe$12.15
Step-by-step explanation:
She paid 60% of the price...
x + .6x = 32.40
1.6x = 32.40
x=20.25
20.25 * .60 = 12.15
Can someone help me understant this proof?
Answer:
Yeah, you can prove with the use of alternate interior angles, alternate exterior angles, and parallel angles. That's why they're similar.
Step-by-step explanation:
What is the multiplicative rate of change of the
function?
Answer:
0.25×5=0.125
0.125×0.5=0.0625
0.0625×0.5=0.03125
the multiplicative rate of chage of the function is 0.5