Answer:
C = 6pi cm
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
C = 6pi cm
Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?
Answer:
D = (13, - 23 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 4, y + 15 )
To go in the reverse direction, that is image to original, then, reverse the operations in the translation rule.
(x , y ) → (x + 4, y - 15 ) , thus
D'(9, - 8 ) → D(9 + 4, - 8 - 15 ) → D(13, - 23 )
Answer:
(13,-23)
Step-by-step explanation:
DID IT ON EDGE 2020
x varies jointly as y^3 and square root of z . If x = 7 when y = 2 and z = 4, find x correct to 2 decimal places, when y = 3 and z = 9.
Answer:
x=35.44
Step-by-step explanation:
x=ky^3 and√z
x=k(y^3)(√z)
Find k when
x=7
y=2
z=4
7=k(2^3)(√4)
7=k(8)(2)
7=k(16)
7=16k
k=7/16
Find x when y=3, z=9
x=k(y^3)(√z)
x=(7/16)(3^3)(√9)
x=(7/16)(27)(3)
=7/16(81)
=567/16
x=35.4375
Approximate to 2 decimal places
x=35.44
root 3 cosec140° - sec140°=4
prove that
Answer:
Step-by-step explanation:
We are to show that [tex]\sqrt{3} cosec140^{0} - sec140^{0} = 4\\[/tex]
Proof:
From trigonometry identity;
[tex]cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}[/tex]
[tex]\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\[/tex]
From trigonometry, 2sinAcosA = Sin2A
[tex]= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}[/tex]
Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;
[tex]\frac{4(sin(420-140)) }{sin280}[/tex]
= [tex]\frac{4sin280}{sin280}\\ = 4 \ Proved![/tex]
Please please help me
Answer:
yes the graph reflects over the y-axis because if you see in the y axis the line show that it is the pont to the axis
hope it helps
a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola
Answer:
The vertex form of the equation is [tex]y = -\frac{1}{3}( x-1)^{2} +1[/tex].
Step-by-step explanation:
You will use the equation [tex]y=a(x-h)^{2} +k[/tex] to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get [tex]y= a(x - 1)^{2} +1[/tex].
Then, we substitute the point as our x and y to get [tex]-2 = 9a+1[/tex] (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the [tex]9a[/tex] to get [tex]9a = 3[/tex]. Finally, divide by 9 on both sides to get [tex]a=\frac{1}{3}[/tex].
Now, substitute your [tex]a[/tex] back into the equation to get y = [tex]-\frac{1}{3}(x-1)^{2}+1[/tex].
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get [tex]y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}[/tex].
The perimeter of a rectangular playground shown is 140 feet what is the area of the playground if the length is 40 feet
determine weather it is no solution many solutions or one solutions
3(6-4m)=2(9-6m)
Answer:
Many solutions
Step-by-step explanation:
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; t que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche, 1kg de jamon serrano y 3 litros de aceite de oliva
Answer:
1 litro de leche cuesta 2.5
1 kg de jamón serrano cuesta 35
1 litro de aceite de oliva cuesta 7,5
Step-by-step explanation:
Pregunta correcta completa
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.
Solución
Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.
16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240
16x + 4y + 8z = 240 (ecuación 1)
1 litro de aceite cuesta el triple de 1 litro de leche
z = 3x (ecuación 2)
Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.
y = 5x + 3z (ecuación 3)
Sustituyendo las ecuaciones 2 y 3 en la ecuación 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recordemos que z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
English Translation
A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.
Solution
Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.
16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240
16x + 4y + 8z = 240 (eqn 1)
1 liter of oil costs the triple of 1 liter of milk
z = 3x (eqn 2)
And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil
y = 5x + 3z (eqn 3)
Substituting eqn 2 and 3 into eqn 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recall that z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
1 liter of milk costs 2.5
1 kg of Serrano ham costs 35
1 liter of olive oil costs 7.5
Hope this Helps!!!
The two triangles below are similar. What is the similarity ratio of AABC to ADEF? (5 points)
2:1
1:2
2:5
5:2
What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))? a = –5 a = –3 a = 3 a = 5
Answer:
a = -5
Step-by-step explanation:
negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3)) can be expressed mathematically as follows.
- (5 - (a + 1)) = 9 - (5 - (2a - 3))
using the principle of PEMDAS, all the parenthesis values are first solved
- (5 - a - 1) = 9 - (5 - 2a + 3)
-5 + a + 1 = 9 - 5 + 2a - 3
collect like terms
-5 + 1 - 9 + 5 + 3 = 2a - a
-5 = a Therefore,
a = -5
Answer:
-5
Step-by-step explanation:
The members of a basketball team need to
raise $895 for new uniforms. They already
have $351 from food sales. To raise the
remainder, they are planning a shoot-out
challenge. If 34 teams sign up, how much
must they charge per team to meet their
goal?
Answer:
$16
Step-by-step explanation:
First subtract $351 from $895 to find the dollar amount we're considering.
($895 - $351 = $544)
Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged. ($544 / 34 = $16)
Which linear inequality is represented by the graph
AB and BC are perpendicular lines Find the value of x Please answer quick!!
Answer:
32 degrees
Step-by-step explanation:
If AB and BC are perpendicular, that means the angle is 90 degrees. They already give you 24 and 24 which add up to 48 and then you subtract 90 by 48 to find the missing value
Anyone know this :( please help
Answer:
B
Step-by-step explanation:
M is a factor of N and [tex](1+r)^t[/tex], which is not influenced by N. This is because N is just the initial amount of people, and does not change no matter the rate of new members. Hope this helps!
Can someone explain how to do this?
Answer:
118,900,000,000,000 (1.189 × 10^14)
Step-by-step explanation:
First, assume that a cell is roughly a sphere with radius 10−³cm (. Let's compute the volume of the cell from the relation between radius and volume:
The volume V of a sphere with radius r is
V=(4π)/3 r³
where r³ and V have the same units. The volume of a cell with radius 10−³cm is therefore
V=4π³/3(10−³)3≈4.1888×10−⁹ cm³.
Next, we use the fact that the density of a cell is approximately the density of water which is 1g/cm³. Let's compute the mass of a cell from its volume and density using the definition of density:
density = mass/volume
which is equivalent to
mass = density×volume.
The mass of a cell is therefore
1 (g)/cm³×4.1888×10−⁹cm³ ≈ 4.1888×10−⁹g.
Now you know the mass of a cell, what other piece of information do you need to work out the number of cells in your body? Your mass in grams (if you know your weight in pounds, you can convert: 1 lb≈453.6 grams).
Number of cells=Your Mass/Mass of Cell
For example, the mass of a 175 lb is about 45,360 grams. We have that
79378g/4.1888×10−⁹g≈11.89 × 10^14
so there are approximately 1×10¹⁴=118,900,000,000,000 (1.189 × 10^14) cells in the human body!
The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =
Answer:
144
Step-by-step explanation:
b2 – 4ac =
(–8)^2 – (4)(2)(–10) =
64 + 80
144
Help me im just too lazy to figure it out :)
Answer:
m=-16
Step-by-step explanation:
To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-35=m-19
19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.
-35+19=m-19+19
-35+19=m
-16=m
Let's check our solution. Plug -16 back in for m in the original equation.
-35=m-19
-35=-16-19
-35=-35
Both sides of the equation are the same, so we know that m is equal to -16.
in a bacterial cell where would you find the DNA plasmids?
Step-by-step explanation:
bacteria also have small, closed-circle of DNA called plasma and present in their cytoplasm .
what should be added in the polynomial x3-6x2+11x+8 so that it is completely divisible by 1-3x +x2
Answer:
The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)
Step-by-step explanation:
By long division, we have;
[tex]{\left ({x^{3}-6x^{2}+11x+8} \right )\div 1 - 3x + x^{2}}[/tex] = x - 3
-(x³ - 3·x² + x)
-3·x² + 10·x + 8
-(-3·x² + 9·x -3)
x + 11
Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².
That is (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
$15.70
Step-by-step explanation:
The total Cost is 101.40
The tax is 7.20 Subtract the tax
=====================
The cost of 6 CDs=94.20
1 CD costs 94.2 / 6
1 CD costs 15.70
You select a marble without looking and then put it back. If you do this 10 times, what is the best prediction possible for the number of times you will pick a pink or a green marble?
The probability of selecting either a pink or green marble from the 10 marbles is; 2/10
What is the probability of selection?
We are told that you try to select a marble ten times.
Now, we want to try to find out the best probability of selecting either a pink or a green marble.
Now, it's possible that there are other marbles but if we want to know just for this two amrbles, then we can write the probability as;
P(either pink or green marble) = 2/10
Read more about Probability of Selection at; https://brainly.com/question/251701
Answer:
3
Step-by-step explanation:
There are 50 sheets of drawing paper.
Larry divides the drawing paper between himself
and his younger brother John.
And Larry has 14 more sheets.
How many
sheets of drawing paper do Larry and his
brother have, respectively?
Answer:
John has 18 pieces of paper.
Larry has 32 pieces of paper.
Step-by-step explanation:
Let [tex]l[/tex] be how many pieces of paper Larry has and [tex]j[/tex] be how many pieces of paper John has.
We get:
[tex]j+14=l[/tex]
[tex]j+l=50[/tex]
[tex]j+j+14=50\\\\2j+14=50[/tex]
Subtract 14 from both sides
[tex]2j=36[/tex]
Divide both sides by 2
[tex]j=18[/tex]
John has 18 pieces of paper.
[tex]j+14=l\\\\18+14=l\\\\l=32[/tex]
Larry has 32 pieces of paper.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
34/50 = 68%
14/20 = 70%
answer: the German test
can i get brainliest?
Answer:34/50 = 68%
14/20 = 70%
Step-by-step explanation:mark me as brainest and vote for me plssss
Cam bounces a ball 2.528 feet in front of his feet. The path of the ball from the time it hits the ground until it lands on the floor is represented by
f(x)= -(x-7)^2+20
Assuming that Cam's feet located at the origin, (0,0), what is the maximum height of the ball in (feet)?
Answer:
20 feet
Step-by-step explanation:
Since the term -(x-7)^2 is negative, the largest height that the ball can reach is when this term is 0. 0+20=20, meaning that the highest the ball can go is 20 feet. Hope this helps!
Answer: 20 feet
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k
where (h, k) is the vertex
h is the axis of symmetry (time at which maximum height is reached)
k is the maximum height
Given: y = -(x - 7)² + 20
--> h = 7, k = 20
therefore, the maximum height of the ball is 20
pls help me 19 POINTS
Answer:
x=10
Step-by-step explanation:
x-4=6
To isolate x, you can add 4 to both sides of the equation:
x-4+4=6+4
x=10
Hope this helps!
Step-by-step explanation:
x=10
Amanda has at most $40 to spend on flowers. She wants to buy a pair of red rose flowers for $18 dollars and spend the rest on lily flower. Each lily flower costs $11. Write an inequality for the number of lily flowers she can purchase
Answer:
x ≤ 2
Step-by-step explanation:
2 red rose cost $ 18
x flowers cost $ 11x
"At most " means ≤.
11x + 18 ≤ 40
11x ≤ 40 - 18
11x ≤ 22
x ≤ 2
Using inequality we know that Amanda can purchase 2 lily flowers.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity.So, the inequality can be:
Monet Amanda can spend is $40.She purchased a pair of roses worth $18.Rest we want to wants to buy lily, which costs $11 each.Now, the inequality will be:
Let, the number of lilies is x and Amanda purchases 2 lilies:
18 + 2x ≤ 4018 + 2(11) ≤ 4018 + 22 ≤ 4040 = 40Therefore, using inequality we know that Amanda can purchase 2 lily flowers.
Know more about inequality here:
https://brainly.com/question/28964520
#SPJ2
what is the exact solution for 75(1/5)^(x/5)=3
Answer:
[tex]\large \boxed{x = 10}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcll}75\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & 3& \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{3}{75}&\text{Divided each side by 75} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{1}{25}&\text{Simplified} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &25^{-1}&\text{Applied exponent rule} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Converted 25 to base 5} \\\\\end{array}[/tex]
[tex]\begin{array}{rcll}\left (5^{-1}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Applied exponent rule} \\\\5^{-\dfrac{x}{5}} & = &5^{-2}&\text{Multiplied exponents} \\\\-\dfrac{x}{5} & = &-2 & \text{Equated exponents}\\\\x & = & \mathbf{10} & \text{Multiplied each side by -2}\\\end{array}\\\text{The exact solution is $\large \boxed{\mathbf{x = 10}}$}[/tex]
The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?
They can set up
_______ tables in 5 hours.
Answer:
To find this out, you simply multiply 6x5 which is 30
Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!!!!
Answer:
C
Vertex at (-4 , 18)
Step-by-step explanation:
The vertex's x-coordinate is -4
To find the y-coordinate plug -4 into any of the equations but I recommend using the third one because it'll be the fastest route.
-2 (-4 + 4)^2 + 18
-2(0)^2 + 18
= 18
Vertex at (-4, 18)
If x is 5, then 6x = _____
Answer:
30
Step-by-step explanation:
6(5)=30
// have a great day //
Answer:
30
Step-by-step explanation: