Answer:
[tex]P( 2 \ green ) = \frac{4}{121}[/tex]
Step-by-step explanation:
[tex]Probability \ of \ green \ i n \ the \ first \ try = \frac{2C_1}{11C_1} = \frac{2}{11}\\\\Probability \ of \green \ i n \ the \ Second \ try = \frac{2C_1}{11C_1} = \frac{2}{11}\\\\Probability \ of \ 2 \ green = \frac{2}{11} \times \frac{2}{11 } = \frac{4}{121}[/tex]
5 to the power -2 * 5x is equal to 1 solve for x
5^-2 * 5x = 1
Simplify:
5^-2 = 1/25
Now you have 1/25 * 5x = 1
1/25 x 5 = 1/5
1/5x = 1
Divide both sides by 1/5 ( when dividing by a fraction, flip the fraction over an multiply)
x - 1 x 5/1 = 5
X = 5
Answer:
x = 5
Step-by-step explanation:
This statement translates into 5^(-2)*5x = 1, which by rules of exponents simplifies to:
5x x
--------- = 1, or ----- = 1
5^2 5
Cross-multiplying, we get x = 5
Find the quotient of
x3−4x2−4x+16x−2
Answer:
x^2 - 2x - 8.
Step-by-step explanation:
Using long division:
x - 2)x^3 - 4x^2 - 4x + 16( x^2 - 2x - 8 <------ Quotient
x^3 - 2x^2
-2x^2 - 4x
-2x^2 + 4x
- 8x + 16
-8x + 16
............
Write each equation in function notation, then solve the function for the given value.
(i.e. Find the Function and Solution)
y = -2/5x + 3/8 when c = 1/3
Given:
The equation is:
[tex]y=-\dfrac{2}{5}x+\dfrac{3}{8}[/tex]
To find:
The function notation for the given equation and then solve the function for the value [tex]x=\dfrac{1}{3}[/tex].
Solution:
We have,
[tex]y=-\dfrac{2}{5}x+\dfrac{3}{8}[/tex]
Substitute [tex]y=f(x)[/tex] in the given equation to find the function notation of it.
[tex]f(x)=-\dfrac{2}{5}x+\dfrac{3}{8}[/tex]
Substituting [tex]x=\dfrac{1}{3}[/tex], we get
[tex]f(\dfrac{1}{3})=-\dfrac{2}{5}(\dfrac{1}{3})+\dfrac{3}{8}[/tex]
[tex]f(\dfrac{1}{3})=-\dfrac{2}{15}+\dfrac{3}{8}[/tex]
[tex]f(\dfrac{1}{3})=\dfrac{-16+45}{120}[/tex]
[tex]f(\dfrac{1}{3})=\dfrac{29}{120}[/tex]
Therefore, the function notation is [tex]f(x)=-\dfrac{2}{5}x+\dfrac{3}{8}[/tex] and the value of the function at [tex]x=\dfrac{1}{3}[/tex] is [tex]\dfrac{29}{120}[/tex].
f(x) = 2x-1
What kind of shift is represented?
Hi there!
»»————- ★ ————-««
I believe your answer is:
A vertical shift down one unit.
»»————- ★ ————-««
Here’s why:
A chart showing the rules of function transformations are shown. The equation shown is the parent function of '2x' that is shifted 1 unit down. If the number was inside the x [like (x - 1)] it would be a horizontal transformation. Since it's outside we would consider it to be a vertical shift.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Henry is buying orange juice to make punch for a party. He can buy the juice in 32-oz cartons for $2.56 each or 48-oz cartons for $3.36 each. Which is the better value? Use the drop-down menus to explain your answer.
Answer:
the 48
Step-by-step explanation:
fairly obvious
Which of the following equations correctly represents the distance between points (1, -1) and (-2, 2)?
Answer:
3√2
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√(-2 - 1)² + [2 - (-1)]
√(-3)² + (3)²
√9 + 9
√18
= 3√2
Montraie is driving on a long road trip. He currently has 13 gallons of gas in his car.
Each hour that he drives, his car uses up 1 gallon of gas. How much gas would be in
the tank after driving for 6 hours? How much gas would be left after t hours?
Answer:
7 gallons
Step-by-step explanation:
Montraie is driving on a long road trip
He currentlyhase 13 gallons of fuel in his car
Each hour that he drives, he uses up 1 gallon of fuel
Therefore the amount of gas that would be left after 6 hours can be calculated as follows
= 13-6
= 7
Hence there will be 7 gallons of fuel left
=
Last question of the day :)
Answer:
yehshjdjejrdjjej3u Rudd ixjje
A bank account starts with $3.00. The amount in the account doubles every year .
Answer:
Step-by-step explana
multiply it by 2 or sdd itself to it
The account will have $1536.007 after 9 years.
Part A:
To express the total amount of money A(t) in the account after 7 years, we can use the formula:
A(t) = P[tex](2^t)[/tex]
where:
A(t) is the total amount in the account after t years,
P is the initial amount in the account (starting with $3.00 in this case),
t is the number of years.
Substituting the values into the formula, we get:
A(t) = 3 ([tex]2^7[/tex])
A(t) = 3 x 128
A(t) = 384
Therefore, the total amount of money in the account after 7 years is $384.
B) To find out after how many years the account will have $1536.007, we need to solve the equation:
1536.007 = 3 [tex](2^t)[/tex]
Dividing both sides of the equation by 3, we get:
512.0023333333 = [tex]2^t[/tex]
Taking the logarithm (base 2) of both sides, we have:
log2(512.0023333333) = t
t = 9.000317.
Therefore, the account will have $1536.007 after 9 years.
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A company has designed its new packaging for products to be shaped liked the prism shown. If the cost of packaging is $0.03 per square inch, find the total cost of the package shown. (10 inches horizontally, 4 inches vertically, and 4 inches on the side)
Answer:
$5.76
Step-by-step explanation:
We solve using the formula of the area of a rectangular prism
A = 2(LW + LH + WH)
The dimensions of the package are given as: 10 inches horizontally, 4 inches vertically, and 4 inches on the side
=2 × (4 × 10 + 4 × 10 + 4 ×4)
=192 square inches
If the cost of packaging is $0.03 per square inch, the total cost of the package is calculated as:
1 square inch = $0.03
192 square inches = x
Cross Multiply
= 192 × $0.03
= $5.76
Which is a quadratic function?
A y = X-9
B y = x² +9
C y = x + 2x -9
Answer:
B y = x² +9
Step-by-step explanation:
A quadratic function must have the highest power of x being x^2 and must have an x^2 term
A y = X-9 - linear
B y = x² +9 quadratic
C y = x + 2x -9 - linear
What value of x will make the triangles similar by the
SSS similarity theorem?
Answer:
x=28
Step-by-step explanation:
Hi there!
SSS similarity theorem is a theorem that can determine similar triangles; the criteria for SSS~ is that the corresponding sides of the triangles create proportions which is the same as the ratio of similitude (k)
First, we need to find the ratio of similitude.
We need to assume that the triangles are similar.
15 corresponds with 20 (if you turn both triangles until they're titled the same way, you will see that 15 and 20 are the measures of the same sides on the triangles)
so that means 15/20 must make the ratio of similitude
15/20 is equal to 3/4
therefore k=3/4
as the triangle is already assumed similar, that means that 21/x will also give us a ratio that is equal to 3/4 (ratio of similitude)
therefore, 21/x=k
Since both ratios are equal to k, set 3/4 and 21/x equal to each other. This is possible via a property called transitivity (if a=b and b=c, then a=c)
3/4=21/x
cross multiply
3x=84
divide both sides by 3
x=28
So that means that 28 will make the triangles similar by SSS similarity
*you double check by doing 21/28 and see that it's also equal to 3/4
Hope this helps!
5) A retailer bought a bag for $80 and sold it for $120. Calculate the percentage profit. *
Answer:
Profit Percentage = 50%
Step-by-step explanation:
Cost price, CP = $80
Selling price, SP = $120
Profit = 120 - 80 = $40
[tex]Profit \ \%= \frac{SP - CP}{CP} \times 100 \\\\Profit \ \% = \frac{ profit}{CP} \times 100 = \frac{40}{80} \times 100 = \frac{1}{2} \times 100 = 50 \%[/tex]
George rolls a six sided die. What is the possibility that he rolls a 1 or a prime Number.
Answer:
1: 16.7%
prime number: 50%
Step-by-step explanation:
divide the numbers
Answer:
2/3
Step-by-step explanation:
There are 6 possible numbers
all of the prime numbers from 1 to 6 are
2, 3, 5 ( plus 1 because this problem is counting 1 along with the prime numbers)
That is 4 numbers
4 out of 6 numbers
so there is a 4/6 or 2/3 chance that George will roll a 1 or a prme number
what is the a value of the vertex form...
y = (x - 3 )^2 - 36
Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)
Step-by-step explanation:
Kinda did it-
Helppp quick! That’s the question^ please help guysss
Answer:
The slope represents the cost per gallon for heating oil while the y-intercept represents the fee for heating oil.
HELP PLZZZZZZZ ITS FOR A TESTTT
Answer:
x = 9 , y = 27
Step-by-step explanation:
Given that the given polygons are similar , So their corresponding sides will be proportional .
Look at the base sides . They are 32 & 24. So the , ratio of sides is ,
=> Ratio = 32/24 = 4/3 .
This ratio will be same for all sides .
So that ,
=> x - 1 / 6 = 4/3
=> 3x - 3 = 24
=> 3x = 27
=> x = 9
Similarly ,
=> y + 1 / 21 = 4/3
=> 3y + 3 = 84
=> 3y = 81
=> y = 27
So the correct choice is last option .
Find the equation of the line with a slope of 2 and a point of (5,11)
PLEASE HELP !!!! THANKS !!!
Answer:
y=2x+1
Step-by-step explanation:
Hi there!
We are given the slope (m), which is 2, as well as the point (5,11).
We need to find the equation of the line.
There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept
We're already given the slope (2), so we can substitute it into the equation right away
here's the equation so far:
y=2x+b
now we need to find b.
We can do this by plugging (5,11) into the equation, as the line passes through that point.
Substitute x as 5 and 11 as y
11=2(5)+b
multiply
11=10+b
subtract 10 from both sides
1=b
substitute 1 as b into the equation
y=2x+1
Hope this helps! :)
who understands this sum?
Answer:
$31728
Step-by-step explanation:
sorry if I'm wrong
Jacob is cutting yarn for a craft project. He needs pieces of yarn that are 12 inches long, but he only has a ruler marked with centimeters. Luckily, he remembers that there are 2.54 centimeters in an inch. How many centimeters long should Jacob's pieces of yarn be?
Answer:
30.48 centimeters
Step-by-step explanation:
We know that:
2.54 cm = 1 inch
To find how many centimeters are in 12 inches, you should:
2.54 x 12 = 30.48
So Jacob’s pieces of yarn should be 30.48 centimeters long.
Hope this helps!
Jacob's pieces of yarn should be 30.48 centimeters long.
How to determine How many centimeters long should Jacob's pieces of yarn be?To find out how many centimeters long Jacob's pieces of yarn should be, we can use the conversion factor that there are 2.54 centimeters in an inch.
Since Jacob needs pieces of yarn that are 12 inches long, we can calculate the length in centimeters using the conversion:
Length in centimeters = Length in inches * Conversion factor
Length in centimeters = 12 inches * 2.54 centimeters/inch
Length in centimeters = 30.48 centimeters
So, Jacob's pieces of yarn should be 30.48 centimeters long.
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Holly cuts 2 ribbons into tenths for a craft project how many 1/10 size ribbons does she have
Answer:
Holly would have 20 1/10 sized ribbons.
Step-by-step explanation:
One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.
con
Triangle ABC with vertices A(0,0),
B(0,4), and C(3,0) is dilated to
form triangle ADE. What is the
E if D has coordinates
(0,6)?
106
Answer:
The coordinates of E are [tex]E(x,y) = \left(\frac{9}{2}, 0 \right)[/tex].
Step-by-step explanation:
The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.
Vectorially speaking, dilation is defined by the following operation:
[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Dilated point.
[tex]k[/tex] - Dilation factor.
By applying this operation, point B becomes point D:
[tex]B(x,y) = (0,4)[/tex], [tex]D(x,y) = (0,6)[/tex]
[tex]D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)][/tex]
[tex]D(x,y) = (0,0) + k\cdot (0,4)[/tex]
[tex](0,6) = (0,0) +(0,4\cdot k)[/tex]
[tex](0, 6) = (0,4\cdot k)[/tex]
[tex]k = \frac{3}{2}[/tex]
Lastly, we transform point C into point E by applying the same operation: [tex]C(x,y) = (3, 0)[/tex], [tex]O(x,y) = (0,0)[/tex] and [tex]k = \frac{3}{2}[/tex]
[tex]E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)][/tex]
[tex]E(x,y) = \left(\frac{9}{2}, 0 \right)[/tex]
The coordinates of E are [tex]E(x,y) = \left(\frac{9}{2}, 0 \right)[/tex].
PLEASE HELP!! WILL MARK BRAINLIEST!!
Adele, Barbara and Collette share $680 in the ratio 9: 7:4.
(a) Show that Adele receives $306.
(b) Calculate the amount that Barbara and Collette each receive.
(c) Adele changes her $306 into euros (€) when the exchange rate is €1 = $1.125.
Calculate the number of euros she receives.
(d) Barbara spends a total of $17.56 on 5 kg of apples and 3 kg of bananas.
Apples cost $2.69 per kilogram.
Calculate the cost per kilogram of bananas.
(e) Collette spends half of her share on clothes and
of her share on books.
Calculate the amount she has left.
Answer:
if u have any doubts feel free to ask :)
Step-by-step explanation:
Sum of ratio : 9 + 7 + 4 = 20
a)
Adele share :
[tex]\frac{9}{20} \times 680 = 9 \times 34 = \$ 306[/tex]
b)
Barbara share :
[tex]\frac{7}{20} \times 680 = 7 \times 34 =\$ 238[/tex]
Collette share :
[tex]\frac{4}{20} \times 680 = 4 \times 34 = \$ 136[/tex]
c)
$ €
1.125 1
306 x
[tex]\frac{1.125}{306} = \frac{1}{x}[/tex] [cross multiply]
[tex]x =\frac{ 306} {1.125}[/tex]
x = €272
Adele receives = €272
d)
Apple Cost
1 kg 2.69
5 kg y
y = 2.69 x 5 = $13.45
Cost of 5kg of apples = $13.45
Cost of 3 kg bananas = 17.56 - 13.45 = $4.11
Banana Cost
3kg 4.11
1 kg z
[tex]z = \frac{4.11}{3}[/tex]
z = $1.37
Cost per kilogram of banana = $1.37
e) Collette share = $136
Half of it on clothes = (1/2) x 136 = $68
(1/5) of her share on books = (1/5) x 136 = 27.20
Balance amount with her = 136 - 27.20 - 68 = $ 40.80
PLEASE HELP QUICKLY!!! Use the following image to answer the questions below:
a sphere has a radius of 6 centimeters. what is the volume of the sphere?
Question
A sphere has a radius of 6 centimeters. What is the volume of the sphere
Given:
r = 6 cm
Formula:
V = (4/3)πr
Solution:
V = (4/3)πr
V = (4/3)(3.14)(6)
V = 25.12 cm³
Final Answer:
25.12 cm³
which tessellation uses more than one type of regular polygon?
Answer:
semi-regular tessellations
Step-by-step explanation:
how do you translate "six more than x is equal to four." as a equation.
Answer:
6>x=4
hope that helps!
please mark brainiest<3
find -15(-8)
A. 120
B. 80
C. -23
D. -120
Answer:
A
Step-by-step explanation:
-15(-8)
=+(15*8)
=120
So, the ans is A
Find the measure of angle A
Answer:
This is an isosceles triangle, meaning it has 2 congruent angles and one other angle.
Looking at this triangle, we know that ∠B = ∠C.
∠B = 57 degrees
All the angles in a triangle add up to 180, so you need to subtract the two values from 180 to get ∠A.
∠A = 180 - 57 - 57
= 66 degrees
Hope this helps!
The real numbers whose decimals do not end and do not repeat are (irrational numbers / rational numbers).
9514 1404 393
Answer:
irrational numbers
Step-by-step explanation:
The real numbers whose decimals do not end and do not repeat are irrational numbers.
__
If a decimal number ends or repeats, it can be represented by the ratio of two integers. That is the essence of a rational number.
Answer:
Irrational numbers
Step-by-step explanation:
Rational numbers are integers. They don't have repeating decimals.
An irrational number is not an integer, because irrational number are "not rational" and all integers can be represented as rational, so irrational numbers decimals repeat.
