Answer:
Step-by-step explanation:
Tangent of 0 is always 0.
Solve the equation 4(c-3)=8 What are two ways to start solving this equation? Choose BOTH ways Subtract 4 from both sides to get c-3=4 Use the distributive property to get 4c-12=8 Divide both sides by 4 to get c-3=2 Use the distributive property to get 4c-3=8 Add 3 to both sides to get 4c=11
Answer:
b) Use the distributive property to get 4c-12=8
c) Divide both sides by 4 to get c-3=2
Step-by-step explanation:
Solve the equation 4(c-3)=8
What are two ways to start solving this equation?
We are given the Equation
4(c - 3) = 8
The two ways to start solving this Equation is given as:
1. 4(c - 3) = 8
We expand the brackets, using Distributive property
4c - 12 = 8
Or
2. 4(c - 3) = 8
Divide both sides by 4
4(c - 3)/4 = 8/4
c - 3 = 2
Therefore, options b and c is correct
The diagram shows two congruent equilateral triangles whose overlap is a hexagon. The areas of the smaller triangles, which are also equilateral, are 1 , 1 , 9 , 9 , 16 and 16 , as shown. What is the area of the inner hexagon?
Answer:
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
Imagine that you live near a skatepark. As part of some park renovations, the city plans to make the square skatepark 5 meters shorter in one direction and 6 meters longer in the other. What is the area of the new skatepark?
(please include the solving steps in your answer)
Answer:
x² + x - 30Step-by-step explanation:
Let the initial side be x
New skatepark has dimensions:
x - 5 and x + 6Its area is:
(x - 5)(x + 6) = x² + 6x - 5x - 30 = x² + x - 30PLS MATH QUIZZ
Jeremiah invested $70,000 in an account paying an interest rate of 6.8% compounded daily.Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $99,000?
Answer:
t≈
5.1
Step-by-step explanation:
A=99000 P=70000 r=0.068 n=365
Given values
99000
70000
(
1
+
0.068
365
)
365
t
70000(1+
365
0.068
)
365t
Plug in values
99000
=
99000=
70000
(
1.0001863
)
365
t
70000(1.0001863)
365t
Simplify
99000
70000
=
70000
99000
=
70000
(
1.0001863
)
365
t
70000
70000
70000(1.0001863)
365t
Divide by 70000
1.4142857
=
1.4142857=
1.000186
3
365
t
1.0001863
365t
log
(
1.4142857
)
=
log(1.4142857)=
log
(
1.000186
3
365
t
)
log(1.0001863
365t
)
Take the log of both sides
log
(
1.4142857
)
=
log(1.4142857)=
365
t
log
(
1.0001863
)
365tlog(1.0001863)
Bring exponent to the front
log
(
1.4142857
)
log
(
1.0001863
)
=
log(1.0001863)
log(1.4142857)
=
365
t
log
(
1.0001863
)
log
(
1.0001863
)
log(1.0001863)
365tlog(1.0001863)
Divide both sides by log(1.0001863)
1860.731865
=
1860.731865=
365
t
365t
Use calculator
1860.731865
365
=
365
1860.731865
=
365
t
365
365
365t
Divide by 365
5.0978955
=
5.0978955
It would take 5 year for the value of the account to reach $99,000.
What is Future Value?The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.
Given:
P = $70000
R= 6.8%
SV = $99000
For Compounded Daily
A = P [tex](1+ (R/100)/ 365) ^{365n[/tex]
99000 = 70000 [tex](1+ (0.068/100)/ 365) ^{365n[/tex]
[tex](1+ (0.068/100)/ 365) ^{365n[/tex] = 1.414
[tex](1. 00019)^{365n[/tex] = 1.414
[tex]1.072^n[/tex] = 1.414
and, n=5 years
Hence, it would take 5 year for the value of the account to reach $99,000.
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Which equation matches the relationship shown in the table
Answer:
it is the second answer check that answer I'm pretty sure its correct
Calvin is planning to go snow skiing. He went shopping for a jacket. The jacket was
originally priced at $90 and was on sale 50% off. What is the price of the jacket now?
O A. $30.00
O B. $60.00
O C. $75.00
O D. $45.00
Answer:
D. $45.00
Step-by-step explanation:
Half of $90.00
Petra’s electricity supply company charges her a fixed quarterly sum plus a rate per unit for electricity used. In the most expensive quarter last year (January to March), she used 2 000 units and her bill was $250. In the least expensive quarter (July to September), she used 600 units and her bill was $138. She is now adding extra insulation to her home which is expected to reduce her overall electricity consumption by 25%. What can she expect her January to March bill to be next year (if there are no increases in overall tariffs)? *
Answer:
$210
Step-by-step explanation:
(January - March) charge last year :
Unit consumed = 2000
Bill = $250
(July - September) charge last year:
Unit consumed = 600 units
Bill = $138
Billing :
Fixed charge + rate per unit ;
Let fixed charge = c ; rate per unit = m
Billing can be represented by the equation :
mx + c = y
x = unit consumed ; y = total charge
Expensive quarter:
2000x + c = 250 - - - (1)
Least expensive quarter:
600x + c = 138 - - - (2)
From (2)
c = 138 - 600x ; plug into (1)
2000x + 138 - 600x = 250
1400x = 250 - 138
1400x = 112
x = 0.08
0.08 = x = rate per unit
From ; c = 138 - 600x
c = 138 - 600(0.08)
c = 90
Fixed charge = 90
Billing equation :
y = 0.08x + 90
If insulation will reduce unit consumption by 25%
Then, consumption in most expensive quarter will be :
(100 - 25)% * 2000
0.75 * 2000 = 1500 units
Charge will be :
(0.08*1500) + 90
= $210
4(6x-4)=8(3x-2) equations with special cases
Answer:
Infinite solutions
Step-by-step explanation:
4(6x-4)=8(3x-2)
24x - 16 = 24x - 16 ^ Distribute
Infinite solutions (they equal each other)
Step-by-step explanation:
4(6x−4)=8(3x−2)4(6x-4)=8(3x-2)
Simplifica 4(6x−4)4(6x-4).
Pulsa para ver menos pasos...
Aplicar al propiedad distributiva.
4(6x)+4⋅−4=8(3x−2)4(6x)+4⋅-4=8(3x-2)
Multiplicar.
Toca para ver más pasos...
24x−16=8(3x−2)24x-16=8(3x-2)
Simplifica 8(3x−2)8(3x-2).
Pulsa para ver menos pasos...
Aplicar al propiedad distributiva.
24x−16=8(3x)+8⋅−224x-16=8(3x)+8⋅-2
Multiplicar.
Pulsa para ver menos pasos...
Multiplicar 33 por 88.
24x−16=24x+8⋅−224x-16=24x+8⋅-2
Multiplicar 88 por −2-2.
24x−16=24x−1624x-16=24x-16
Mover todos los términos que contengan xx al lado izquierdo de la ecuación.
Pulsa para ver menos pasos...
Restar 24x24x a ambos lados de la ecuación.
24x−16−24x=−1624x-16-24x=-16
Combine los términos opuestos en 24x−16−24x24x-16-24x.
Pulsa para ver menos pasos...
Reste 24x24x de 24x24x.
0−16=−160-16=-16
Reste 1616 de 00.
−16=−16-16=-16
Dado que −16=−16-16=-16, la ecuación siempre será verdad para cualquier valor de xx.
Todos los números reales
El resultado se puede mostrar en múltiples formas.
Todos los números reales
Notación de intervalos:
(−∞,∞)
The perimeter of a triangle is 120. If the ratio of the triangle's side is 4:5:6, what is the length of the shortest side?
Hey there ☺️
Please mark me as brainliest and follow me ..
here is ur answer ..
Select all that apply.
Chandler can mow 2 lawns per hour. If L represents lawns and H represents hours, which of the following equations represent this rate relationship?
Answer:
H=2L
Step-by-step explanation:
In one hour= CHandler can mow 2 lawns
1H=2L
H=2L
Answer:
L = 2 x H
H = 1/2 x L
Step-by-step explanation:
18 erasers cost $0.90, how much would 3 erasers cost?
Answer:
$0.15
Step-by-step explanation:
0.90/18=0.05
0.05x 3=0.15
Answer:
$0.15
Step-by-step explanation:
0.90/18=0.05
0.05x 3=0.15
I need help with a math problem
Jared and Morgan are making two gazebos in the shape of regular polygons, Jared's gazebo is a heptagon
and has an apothem of 13.6 feet and an area of 623.5 ft and Morgan's gazebo is an octagon has an
apothem of 12.5 feet and an area of 517.8 ft". Which gazebo has the longest side length?
The gazebo with the longest side length is the heptagon.
What is the side length of the heptagon?
A heptagon is a polygon with 7 sides. It has 7 edges and vertices.
The length of the side of a heptagon = (area of the heptagon x 2) / (number of sides x length of the apothem)
= (623.5 x 2) / (7 x 13.6)
= 1247 / 95.2
= 13.1 feet
What is the side length of the octagon?
A octagon is a polygon with 8 sides. It has 8 edges and vertices. The sum of internal angles in 135 degrees.
The length of the side of a octagon = (area of the octagon x 2) / (number of sides x length of the apothem)
= (517.8 x 2) / (12.5 x 8)
= 1035.6 / 100
= 10.356 feet
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free branliest and points question is so easy :) :) :) :) :) :) :) :) :) :):| :) :) :) :) :) :) :P Ryan is shopping for barrels of concrete. After looking at different stores, he decides to purchase them from Construction and Us. The cost of their concrete barrels is listed in the table below:
Answer:
$23 per bag
Step-by-step explanation:
Ryan Is shopping for barrels of concrete
After looking at different stores he decides to purchase at construction and Us
Therefore the price of a bag can be calculated as follows
= 46/2
= 23
Hence the price of a bag is $23
Answer:
$23 per bag
Step-by-step explanation:
i got this frm the previous answer but im trying to stock up on points since i have alot of test coming up </3
Solve for the variable. 4/2=3/x
A.2/3
B.1.5
C.6
D.12
Answer:
B
Step-by-step explanation:
Given
[tex]\frac{4}{2}[/tex] = [tex]\frac{3}{x}[/tex] ( cross- multiply )
4x = 6 ( divide both sides by 4 )
x = 1.5 → B
Answer:
3/2 0r B. 1 1/2
Step-by-step explanation:
Step 1: Cross-multiply.
4/2=3/x
4*x=(3)*(2)
4x=6
Step 2: Divide both sides by 4.
4x/4=6/4
x=3/2
Answer:
x=3/2
3/2 is an equivilant to B 1.5 or 1 1/2
if u work it out then i will give lots of brinilets (pls show workings out)
:P
Answer: The winning order is:
Spike
Boris
Percival.
Step-by-step explanation:
We can write the number of steps that each one did as linear relationships of the form:
y = a*x + b
where:
a represents the slope, in this case, is the velocity of each kid.
x represents the time
b represents the steep at which each one starts.
We know that the race is completed with 99 steps.
Now, we know that in one unit of time (we do not know how long this is, and this does not matter).
Boris can run 5 steps in one unit of time
Spike can run 4 steps in one unit of time
Percival can run 3 steps in one unit of time.
Now let's write the equations for each one.
B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:
B(x) = 5*x + 0
B(x) = 5*x
Now we can find the number x needed to reach the 99 step, this is:
B(x) = 99 = 5*x
99/5 = x = 19.8
Boris needs 19.8 units of time to finish the race.
S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:
S(x) = 4*x + 21
Let's find the value of x such that S(x) = 99
S(x) = 99 = 4*x + 21
99 - 21 = 4*x
78 = 4*x
78/4 = x = 19.5
So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.
P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:
P(x) = 3*x + 38
Again, we want to find the value of x such that P(x) = 99
P(x) = 99 = 3*x + 39
99 - 38 = 3*x
61 = 3*x
61/3 = x = 20.33
So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.
The winning order is:
Spike
Boris
Percival.
work out the equation of the line which has a gradient of 2 and passes through the point (1,4)
please answer quick
i will mark you brainiest
gradient is 2
Step-by-step explanation:
hhhhhhhhfhdd
Can you pls help me with my homework I need help
Answer:
13cm
Step-by-step explanation:
square 12
square 5
add the answers
then square root the answer
What is x in 8x - 5 = -37
Answer:
If i'm doing this correctly it is 6?
Step-by-step explanation:
Answer:
x= -4
Step-by-step explanation:
8x - 5 = -37
+ 5 +5 add five to both sides of the equation so you can isolate the x
8x = -32
/8 /8 then divide 8 by both sides of the equation
x = -4
and then you get ur answer
Hope this helps :)
what is the slope of the line containing points (1,-3) and (4,2)
Answer:
5/3 is the slope
Step-by-step explanation:
What is the measure of angle x? (Brainly + Bonus points for the best correct answer and explain)
Answer: 76
Step-by-step explanation:
If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.
hiii pls help i’ll give brainliest if you give a correct answer
Answer:
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gkgkhhkStep-by-step explanation:
Algebra 2 - Grade 11
Can anyone please help me soon as possible?
Use synthetic substitution to find f(–3) and f(4) for each function.
f(x) = x^2 – 5x + 10
f(x) = x^3 + 3x^2 + 2x – 50
Answer:
for the first equation
f(-3) = 34
f(4) = 6
for the 2nd equation
f(-3) = -56
f(4) ÷ 70
Step-by-step explanation:
my work is attached in a picture.
all you do is substitute each x value into each equation
help pls, answer choices listed!
what is the standard form of the quadratic function that has a vertex of (4,-2)and goes through the point ( 5,0)
A. y = 2x^2 - 16x + 30
B. y = 2x^2 - 16x + 32
C. y= 2 (x - 4)^2 - 2
D. y = 2x^2 - 8x - 2
Answer:
C: y = 2(x - 4) - 2
Step-by-step explanation:
The vertex formula of a quadratic is y - k = m(x - h).
Here the vertex is at (4, -2), and so we now have y + 2 = a(x - 4).
Find a: letting y = 0 and x = 5, we get 0 + 2 = a(5 - 4), which means a = 2.
The desired equation is C: y = 2(x - 4) - 2
find the cube root of 27a
Answer:
3a
Step-by-step explanation:
27a ÷ 3 (number of cube root) = 3a
Answer:
3 a
Step-by-step explanation:
is the right answer you welcome
please help all of it, tysm
Write an equation for the total amount y after the given rate of increase is added to the original amount x.
20%
Answer:
y = 1.2x
Step-by-step explanation:
The given original amount is x.
Increase = 20%
Increase = [tex]\frac{20}{100}[/tex]
Increase = 0.2
Amount of increment = 0.2x
Total amount = Original amount + Amount of increment
y = x + 0.2x
y = 1.2x
PLEASE HELP
Find the value of x and y. Write your answer in simplest radical form.
Answer:
Y=10
x=14.14
Step-by-step explanation:
Because the two smaller angles are equal, it is an isosceles triangle with both legs equal in length.
so y=10
By the Pythagorean theorem, x^2=10^2+10^2
x^2=200
x=14.14
$213 ski jacket with a 30% discount and a 6% tax
158.04$.
What is discount?A discount is a decrease in the cost of a commodity or service. If the item is broken, you can ask the manager for a discount.
Given the Written price of the ski jacket is 213$ on that there is a discount of 30% and 6% of tax. Hence,
discounted price of jacket = 213 (1- 30%)
discounted price of jacket = 149 approx.
Total price of the jacket after-tax = 149 (1 + 6%)
The total price of the jacket after-tax = 158.04$
Therefore, the price of a $213 ski jacket with a 30% discount and a 6% tax is 158.04$.
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The sum is 12. The difference is 5