Answer:
360 different permutations.
Step-by-step explanation:
It goes 6*5*4*3 because as you pick the pens the amount of pens in the jar would obviously decrease. Picking one leaves you with 5 new options. If you repeat that 4 times then you are left with 360 options.
The number of permutations of picking 4 pens from the box is 6P4, or 6!/(6-4)! = 654×3 = 360.
We have 6 pens and we are picking 4 of them. The order in which we pick the pens matters, so we are dealing with permutations.
The number of permutations of n objects is given by n!, or n factorial. So, the number of permutations of 6 objects is 6!.
However, we need to divide by the number of permutations of the 2 pens that we are not picking. There are 2 pens that we are not picking, so the number of permutations of those pens is 2!.
Therefore, the number of permutations of picking 4 pens from the box is 6!/(6-4)! = 654×3 = 360.
Learn more about permutations here: brainly.com/question/3867157
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Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60°. What is the length of the third side of the triangle?
Answer:
I hope it will surely help uh.....
Answer:
sqrt of 7
Step-by-step explanation:
Please Help!! Brainliest for Right anwser!
Is anyone good at probabiltiy??
Pls helppppp
In a school, 60% of the students take a foreign language class and 20% of
students take both foreign language and technology. What is the probability that a student takes technology given that the students takes foreign language?
Answer:
1/3
Step-by-step explanation:
Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.
Write an equation of the line that passes through the point (-6, -5) with slope 6.
A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)
Answer:
The answer is option D.
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Equation of a line from given a Slope and a point is
y - y1 = m(x - x1)
Where ( x1 , y1) is the point
Equation of the line using point (-6 , -5) and slope 6 is
y + 5 = 6(x - 6)Hope this helps you
write the equation of the parabola in vertex form.
Answer:
y = (x - 2)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, 0) , thus
y = a(x - 2)² + 0
To find a substitute the y- intercept (0, 4) into the equation
4 = a(- 2)² = 4a ( divide both sides by 4 )
a = 1
y = (x - 2)² ← equation of parabola in vertex form
BRAINLIEST, THANKS, 5 STARS & 15 POINTS IF ANSWERED CORRECTLY.
What is the 52nd term of the sequence below?
-38, -35, -32, -29...
Answer:
115
Step-by-step explanation:
It adds 3 every time and starts with -38. Our equation is:
a52 = -38+3(52-1);
a52 = -38 + 153
a52 = 115
Answer:
115
Step-by-step explanation:
→ First we need to work out the nth term. First we find the difference between each term
-38, -35, -32, -29... ⇔ +3
→ We know the first bit is 3n now we have to find the other section. We need to write the 3 times tables on top of each corresponding term
3 , 6 , 9 , 12
-38, -35, -32, -29...
→ We can see the to get from 3 to -38 we minus 41. So the nth term is
3n - 41
→ Now we substitute in 52 for n
3 × 52 - 41
→ Simplify
115
TIME LIMIT
What is the measure of angle B in degrees?
Answer:
B∠119°
Step-by-step explanation:
Well first we need c.
And c + 112 = 180
So -112 is c = 68
68 + 51 + a = 180
68+51 = 119 + a = 180
a = 61
b + 61 = 180
b = 119
The rectangular classroom is 36ft in length and 32 feet in with. The scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing? Explain your answer.
Answer:
72 inch²
Step-by-step explanation:
Rectangular classroom
Length=36ft
Width=32ft
scale drawing length = 9 inches
Scale drawing width=x
Ratio of the length to the scale drawing length = 36/9
Ratio of the width to the scale drawing width=32/x
To find x
36/9=32/x
Cross product
36x=32*9
x=288/36
=8
x=8
Area of a rectangle= length × width
Length=9 inches
Width=8 inches
Area of the rectangular classroom= 9 inches × 8 inches
=72 inch²
A paintball court charges an initial entrance fee plus a fixed price per ball. P represents the total price (in dollars) as a function of the number of balls used n P=0.80n+5.50 What is the price for 10 balls, not including the entrance fee?
Answer:
$8
Step-by-step explanation:
It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.
Answer:
$8
Step-by-step explanation:
Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[tex]Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[/tex]
The largest x that satisfies
[tex]3x^2+17x+15=5[/tex]
is the largest solution to
[tex]3x^2+17x+10=0[/tex]
We have
[tex]3x^2+17x+10=(3x+2)(x+5)=0[/tex]
[tex]\implies x=-\dfrac23\text{ or }x=-5[/tex]
and so the largest value of x we want is -2/3.
How to do this question plz answer
Answer:
126 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Al ( A is the cross sectional area and l the length ), thus
V = 21 × 6
= 126 cm³
A drone is monitoring the atmospheric conditions above a farm field. The drone hovers 5 meters above the crop line. Suddenly, it rises to approximately 5.9 meters (which takes 1.9 seconds) to avoid colliding with the sprinkler system. Based on this information, which equations could model the height, y, of the drone as a function of time, x?
Answer:
The correct options are;
g(x) = -0.27·x² + x + 5
h(x) = 2·㏒(x + 1) + 5
Step-by-step explanation:
To answer the question, we substitute x = 1.9 seconds into the given options as follows;
1) For f(x) = √(1.6·x) + 5
When x = 1.9 seconds, we have;
y = f(1.9) = √(1.6×1.9) + 5 = 6.74 which is not equal to the given height of 5.9 meters
Therefore, f(x) = √(1.6·x) + 5 does not model the height of the drone y as a function of time, x
2) For g(x) = -0.27·x² + x + 5
When x = 1.9 seconds, we have;
y = g(1.9) = -0.27×1.9^2 + 1.9 + 5 = 5.93 meters, which is approximately 5.9 meters to one place of decimal
Therefore, the function, g(x) = -0.27·x² + x + 5, approximately models the height of the drone y as a function of time, x
3) For h(x) = 2·㏒(x + 1) + 5
When x = 1.9 seconds, we have;
y = h(1.9) = 2·log(1.9 + 1) + 5 = 5.92 meters,
The function, h(x) = 2·㏒(x + 1) + 5, approximately models the height of the drone y as a function of time, x
4) For j(x) = -∛(-1.4·x - 1) + 5
When x = 1.9 seconds, we have;
y = j(1.9) = -∛(-1.4×1.9 - 1) + 5 = 6.54 meters
The function j(x) = -∛(-1.4·x - 1) + 5 does not model the height of the drone y as a function of time, x
5) For k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5
When x = 1.9 seconds, we have;
y = k(1.9) = -1.2×1.9^3 + 2.6×1.9^2 - 0.5×1.9 + 5 = 5.21 meters
Therefore, the function, k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5, does not model the height of the drone y as a function of time, x
help me out with a and b
i Will give brainliest and follow you back if you answer first.
Answer:
Step-by-step explanation:
A = {2,8,10,14}
B= {6,8,20}
C={8,18,20,24}
A ∩ B --> intersection means elements that are in both sets A & B
A ∩ B = {8}
A∩ C = {8}
B ∩ C = {8 , 20}
A∩B ∩ C = {8}
First blue box = { 2,10, 14}
Second blue box = {18, 24}
First green box = { 8}
Second green box = { 20}
b) A ∩ B = {8}
n [ A ∩ B] = 1
Probability of the number to be a member of A∩B = 1 / 25
I am starting to get this but, each question is a different subject so plz help asap. Btw these are not test or quiz questions. They are just practice questions so I know how to do it before a test or quiz.
Answer:
73 degrees
Step-by-step explanation:
Given
A Shaped Frame of two congruent sides
Required
Determine the angle made with the ground
Given that there are two congruent sides, this implies that the A frame is an isosceles triangle;
Let the two angles made with the ground be represented by x
Angles in a triangle when added equals 180;
Hence;
[tex]x + x + 34 = 180[/tex]
[tex]2x + 34 = 180[/tex]
Subtract 34 from both sides
[tex]2x + 34 - 34 = 180 - 34[/tex]
[tex]2x = 180 - 34[/tex]
[tex]2x = 146[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{146}{2}[/tex]
[tex]x = \frac{146}{2}[/tex]
[tex]x = 73[/tex]
Hence, the angle with the ground is 73 degrees
Connie has saved up $15 to purchase a new CD from the local store. The sales tax in her county is 5% of the sticker price. Write an equation and solve it to determine the value of the highest priced CD Connie can purchase with her $15, including the sales tax. Round your answer to the nearest penny. (2 points) x − 0.05x = 15; x = $15.79 5x = 15; x = $3.00 x + 0.05x = 15; x = $14.29 0.5x = 15; x = $30
Answer:
[tex]x + 0.05x = 15[/tex], solution is $14.29
Step-by-step explanation:
We can create an equation for this scenario to try and solve it.
Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)
We can write the equation in two ways:
[tex]x + 0.05x = 15[/tex] or [tex]1.05x = 15[/tex].
Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.
Therefore, the equation is [tex]x + 0.05x = 15[/tex] and the solution is $14.29.
Hope this helped!
Answer:
x + 0.05x = 15; x = $14.29
Step-by-step explanation:
Find the value of x that makes ABCD a parallelogram.
Answer:
x = 10
Step-by-step explanation:
A parallelogram's angles should all add up to 360 degrees. 130+130 is equal to 260 degrees. 360-260 is equal to 100. Because we need to find the individual angles of Angle A and Angle C, we will divide 100 by two. That leaves us with 50 degrees for Angle A and Angle C EACH. We know Angle C is equal to 5x. So, we would divide 50 by 5, which leaves us with 10 degrees. Therefore, x = 10.
A woman bought a cup
of beans for 12 and sold it
for ₦15. What was her
percentage profit
Answer:
25 %Step-by-step explanation:
Given,
Cost price ( CP ) = 12
Selling price ( SP ) = 15
Since, CP < SP , she made a profit
Actual profit = SP - CP
plug the values
[tex] = 15 - 12[/tex]
Subtract the numbers
[tex] = 3[/tex]
Profit = 3
Now,
Profit percent = [tex] \frac{actual \: profit}{cost \: price} \times 100[/tex] %
Plug the values
[tex] = \frac{3}{12} \times 100[/tex] %
Calculate
[tex] = 25[/tex] %
Hope this helps...
Best regards!!
Answer:
25%
Step-by-step explanation:
Cost Price: ₦12
Selling Price: ₦15
Profit: ₦15 - ₦12 = ₦3
Profit Percentage = [tex]\frac{profit}{cost price}[/tex] × [tex]\frac{100}{1}[/tex]
Profit Percentage = [tex]\frac{3}{12}[/tex] × [tex]\frac{100}{1}[/tex]
Profit Percentage = [tex]\frac{1}{4}[/tex] × [tex]\frac{100}{1}[/tex] = 25%
Final Answer = 25%
8(3a+5)???? please help!!!!!! ASAP!!!!
I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.
8 times 3a = 24a
8 times 5 = 40
So 8(3a+5) becomes 24a+40
We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.
Pls help really need help
Answer:
12*3*2=72
10*3*2=60
12*10*2=240
240+72+60=312+60=372
hope this helps
Step-by-step explanation:
Answer:
Answer is c 480 in2
Step-by-step explanation:
length of a rectangle is 3 times its width.If its perimeter is 24 centimetres what is the area of the rectangle?
Answer:
27 cm²Step-by-step explanation:
The length is 3 × width.
l = 3w
The perimeter is 24 centimeters.
P = 2l + 2w
24 = 2(3w) + 2w
24 = 6w + 2w
24 = 8w
3 = w
The width is 3 centimeters.
l = 3(3)
l = 9
The length is 9 centimeters.
Area is l × w.
A = l × w
A = 9 × 3
A = 27
The area is 27 squared centimeters.
Answer:
27
Width= x
Length= x × 3 =3x
so, 3x+3x+x+x=24
8x=24
x=24/8
x=3
so, length=3(3)=9
width=3
therefore,
Area=9×3
=27
Please solve!!! Will make Brainliest!!
Answer:
Pretty Simple!
Step-by-step explanation:
So, according to similar triangles, all the measures of their corresponding angles are equal.
According to the picture, <A corresponds to <D. Thus:
m<D=32 degrees
Hope this helps!
Answer:
C. 32°
Step-by-step explanation:
If two triangles are similar, their corresponding angles must be equal.
∠D corresponds to ∠A, so
∠D = ∠A
∠A = 32°
∴ ∠D = 32°
Simplify.
A12 over a7
Answer:
a^5.
Step-by-step explanation:
a^12 / a^7 = a^(12 - 7) = a^5.
Hope this helps!
Write an equation of the line that passes through the point (-6, -5) with slope 6.
A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)
Answer:
Option (D) is the correct option.
Step-by-step explanation:
Let the equation of a line which passes through (x', y') and slope 'm' is,
y - y' = m(x - x')
If this line passes through a point (-6, -5) and slope 'm' = 6
Equation of the line will be,
y -(-5) = 6[x - (-6)]
y + 5 = 6(x + 6)
Therefore, equation the line will be y + 5 = 6(x + 6).
Option (D) will be the answer.
The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth.
8.54 units
9.54 units
11.00 units
24.00 units
Answer:
8.54 unitsStep-by-step explanation:
Given,
Perpendicular ( p ) = 8 units
Base ( b ) = 3 units
Hypotenuse ( h ) = ?
Using Pythagoras theorem:
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
plug the values
[tex] {h}^{2} = {8}^{2} + {3}^{2} [/tex]
Evaluate the power
[tex] {h}^{2} = 64 + 9[/tex]
Calculate the sum
[tex] {h}^{2} = 73[/tex]
Squaring on both sides
[tex]h = \sqrt{73} [/tex]
Calculate
[tex]h = 8.54[/tex] units
Hope this helps..
Best regards!
Answer:
TEST ANSWER: q1:C q2:a q3:b q4:c
Step-by-step explanation:
i got it right on the test 100%
Find the equation of the line.
Answer:
y = -2x + 5
Step-by-step explanation:
You use the equation y = mx + b, where m is the slope and b is the y-intercept. We see that the line hits the y-axis at 5, so that will be your b. To find the slope, use [tex]\frac{rise}{run}[/tex]. You have to go down 4 and right 2, so your slope will be [tex]-\frac{4}{2}[/tex] which simplifies to -2. Hope this helps!
Answer: y=2/-5x+5
Step-by-step explanation:
Which way would you choose to solve 3/x=6/14 ?
Explain your reasoning.
Answer:
I'd cross multiply to solve this equation.
Step-by-step explanation:
Since we have a fraction where we're finding a ratio:
[tex]\frac{3}{x} = \frac{6}{14}[/tex],
I'd find it easiest to cross multiply. This is because we are finding an equivalent to a ratio, so cross multiplication works best here.
Let's solve it.
[tex]14\cdot 3 = 42\\42\div6=7[/tex]
x = 7
Hope this helped!
Karen has $600. She spent $240 on clothes. What percentage of money did she have left?
Answer: She had 60% of the money left
Step-by-step explanation:
240/600=0.4
0.4 = 40%
100%-40%=60%
Answer:
60%
Step-by-step explanation:
LETS MAKE IT INTO A FRACTION
FIRST LETS CALCULATE HOW MUCH SHE SPENT
=240/600
WE CAN SIMPLIFY BY DIVIDING THE EQUATION BY 10
=24/60
LETS DIVIDE BY 6
=4/10
DIVIDE BY 2
=2/5
NOW LETS CALCULATE HOW MUCH SHE HAS LEFT
THE EASIEST WAY IS TO SUBTRACT
5/5-2/5=3/5
3/5 IS ALSO EQUAL TO 60/100
SO KAREN HAS 60% OF HER MONEY LEFT
HOPE I HELPED
PLS MARK BRAINLIST
(DESPERATELY TRYING TO LEVEL UP)
✌
Please help me!!!! I really need help!!
Answer:
A. 25°
Hope it helped
the slope of the line below is -5 which of the following is the point slope form of the line (4,-8)
Answer:
y + 8 = -5(x - 4).
Step-by-step explanation:
In this case, y1 = -8, x1 = 4, and m = -5.
y - (-8) = -5(x - 4)
y + 8 = -5(x - 4).
Hope this helps!
Write as an algebraic expression: the product of a number and 6
i’m desperate plzzz
Answer:
6n or 6 x n
Step-by-step explanation: