Step-by-step explanation:
[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]
Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then selected a key chain. What is the probability this could occur
Answer:
[tex]Pr = \frac{1}{870}[/tex]
Step-by-step explanation:
Given
[tex]n =30[/tex]
Required
Probability of selecting 2 toys of different types
From the question, we understand that all toys are different i.e. 1 of each type.
And the selection is without replacement;
So, after the first toy is selected; there are n - 1 toys left.
So, the probability is:
[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]
Substitute [tex]n =30[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]
[tex]Pr = \frac{1}{30*29}[/tex]
[tex]Pr = \frac{1}{870}[/tex]
Emma reads at a constant rate. In 6 hours, Emma read a 130-page book and a 90-page book. If h represents the number of hours it takes Emma to read 400 pages, which proportion can be used to solve for h?
A:130/90=6/h C:400/6=200/h
B:130/6=400/h D:220/6=400/h
Answer:
D
Step-by-step explanation:
i'm doing the activity rn and got it right
Answer:
the answer is d
Step-by-step explanation:
Use this set of number to answer the question.
4, 11, 6, 9, 23, 34, 6, 19,
What is the median for this set of numbers?
A. 6
B. 10
C. 14
D. 16
Answer:
10
Step-by-step explanation:
arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten
if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest
Answer:
Hello There!!
Step-by-step explanation:
Median is ordering the numbers from smallest to biggest.
Ordered: 4,6,6,9,11,19,23,34
And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.
hope this helps,have a great day!!
~Pinky~
Please help me!! How do I do this?
Answer:
I think 12 * 12/ 60 = ?
12*12= 144
144/ 60= ?
Answer:
360°
Step-by-step explanation:
I think
1/2 base ×height
1/2×60×12
30×12
=360
A recipe calls for 1/3 cup of sugar for every 1/2 teaspoon of vanilla. What is the unit rate per teaspoon? Remember to divide to find unit rate. Unit rate is the value of one item per something.
Answer:
0.6 I think ........................
A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
a.
120
c.
24
b.
4
d.
16
Answer:
The answer is 24 in my opinion
Step-by-step explanation:
1)1 2 3 4
2)1 2 4 3
3)1 3 2 4
4)1 3 4 2
5)1 4 3 2
6)1 4 2 3
Just multiply the 4 with 6 then you get the answer. Hope this is correct.Answer:
C-24
Step-by-step explanation:
Given the following probabilities, determine whether
the events A and B are independent or dependent.
P(a) x p(b) = 2/5 x 1/4 = 2/20 = 1/10
1/10 does not equal 1/9 so the event is dependent
The answer is B ( the second choice)
pls and thanks Solve the equation 4(c-3) = 8 what is the value of c
Answer: C=5
Hope this helps!
Question 16
Make x the subject of the formula
y = ax2
PLZ HELP MEEE
Answer:
x = ± [tex]\sqrt{\frac{y}{a} }[/tex]
Step-by-step explanation:
Given
y = ax² ( divide both sides by a to isolate x² )
[tex]\frac{y}{a}[/tex] = x² ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{y}{a} }[/tex]
Which function would best represent “each ink cartridge purchased for a printer costs $12”.
Linear
Exponential
Quadratic
Simplify the expression and choose the appropriate result.
3 (2+39)
Answer:
setup below, you'll have to do the final calculation
Step-by-step explanation:
first perform the operation in parenthesis
2+39= 41
then do the multiplication 3 x 41
in general do calculations in this order
1. Parenthesis
2. Multiplication
3. Division
4. Addition
5. Subtraction
working from left to right
Subtract 6 2/5 - 1 1/4. Simplify the answer and write as a mixed number.
Answer:5 3/20
Step-by-step explanation:
6 8/20 0- 1 5/20= 5 3/20
Giving brainlist to whoever answers
Answer: should be x> -18
Step-by-step explanation: hope this helps
Answer:
x > -18
Step-by-step explanation:
8 > 2 - x/3
Multiply the equation by 3.
24 > 6 - x
Flip around to make working with it easier.
6 - x < 24
Subtract 6 from both sides.
-x < 18
Divide by -1. When dividing by a negative in an inequality, flip the sign.
x > -18.
F/R/E/E P/O/I/N/T/S
Answer:
tysm!!
Step-by-step explanation:
[tex]have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day[/tex] [tex]:)[/tex]
AAAAAAA THANK YOU :D
Fahad is 140 cm tall. Fareed is 1090 mm tall.
Who is taller? How much taller?
Answer:
Fahad is taller with 31 centimeters
Step-by-step explanation:
1090mm=109cm
Fahad is taller than Fareed by 31 centimeters.
1090 mm = 109 cm
140 cm - 109 cm = 31 cm
Hope this helps; please mark brainliest!
Have an amazing day!
Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
a 8
b 12
c 20
d 22
Answer:
A
Step-by-step explanation:
Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.
Isolate h to find the maximum number of hours she can rent the boat:
2h + 8 ≤ 32
First, subtract 8 from both sides.
2h ≤ 16
Then divide both sides by 2.
h ≤ 8
h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.
will name brainliest
Answer:
a=12
Step-by-step explanation:
We must use SOH, CAH, TOA
SOH= Sin0=opp/hyp
CAH=Cos0=adj/hyp
TOA= Tan0=opp/adj
Since we have opposite and hypotenuse we use Sin ratio, in this case,
sin30°= [tex]\frac{a}{24}[/tex]
[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply
[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself
a=12
Answer:
a = 12
Step-by-step explanation:
To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;
Sin(30) = [tex]\frac{a}{24}[/tex]
Sin(30) * 24 = a
12 = a
Hope this helps!
are these two answers correct?
(angle sums triangles)
Answer:
the answer for the first is 22°
the answer for the second is 83°
Answer:
x = 22°x = 83°Step-by-step explanation:
1.
The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.
2.
For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.
Then, we are able to find x by angle sum of triangles.
68°+29°+x = 180°.
1.) Determine the type of solutions for the function (Picture 1)
2.) Determine the type of solutions for the function (Picture 2)
3.) Use the formula b2−4ac to determine the value of the discriminant of the function f(x)=2x2+8x+6
Use Desmos Scientific (Picture 3)
4.) Describe the transformations of the function
g(x)=−25(x−4)2+6 from the transformation of the parent function
Use phrases such as: the graph is reflected or not reflected/ the graph gets wider or narrower/ the graph slides left or right _________ units and slides up or down _________ (Picture 4)
Answer:
1) 2 nonreal complex roots
2) 1 Real Solution
3) 16
4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)
Step-by-step explanation:
1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0
We get;
y = a·x² + b·x + c
At y = 6, x = -2
Therefore;
6 = a·(-2)² - 2·b + c = 4·a - 2·b + c
6 = 4·a - 2·b + c...(1)
At y = 8, x = 0
8 = a·(0)² + b·0 + c
∴ c = 8...(2)
Similarly, we have;
At y = 8, x = -4
8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8
16·a - 4·b = 0
∴ b = 16·a/4 = 4·a
b = 4·a...(3)
From equation (1), (2) and (3), we have;
6 = 4·a - 2·b + c
∴ 6 = b - 2·b + 8 = -b + 8
6 - 8 = -b
∴ -b = -2
b = 2
b = 4·a
∴ a = b/4 = 2/4 = 1/2
The equation is therefor;
y = (1/2)·x² + 2·x + 8
Solving we get;
x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))
x =( -2 ± √(-12))/1 = -2 ± √(-12)
Therefore, we have;
2 nonreal complex roots
2) Give that the graph of the function touches the x-axis once, we have;
1 Real Solution
3) The given function is f(x) = 2·x² + 8·x + 6
The general form of the quadratic function is f(x) = a·x² + b·x + c
Comparing, we have;
a = 2, b = 8, c = 6
The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;
D = 8² - 4 × 2 × 6 = 16
The discriminant of the function, D = 16
4.) The given function is g(x) = (-2/5)·(x - 4)² + 6
The parent function of a quadratic equation is y = x²
A vertical translation is given by the following equation;
y = f(x) + b
A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)
A vertical reflection is given by an equation of the form; y = -f(x) = -x²
A narrowing is given by an equation of the form; y = b·f(x), where b < 1
Therefore, the transformations of g(x) from the parent function are;
g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.
Armando took his dog, Tasha, to the vet. Tasha was placed on the scale and weighed 45.72 pounds. The veterinarian told Armando that Tasha’s breed should weigh no more than Thirty-six and one-half pounds. Armando calculated about how much weight Tasha should lose to be under the breed’s maximum weight. 45.72 rounds to 45 rounds to 37 45 – 37 = 8 pounds Which statements are true about Armando’s calculations? Check all that apply. Armando should have added 37 to 45. Armando should have rounded 45.72 to 45.5. Armando should not have rounded Thirty-six and one-half to 37. Armando should have calculated that the difference between 45 and 37 is 7. Armando’s last step should have shown 45.5 Minus thirty-six and one-half = 9.
Answer: 17 pounds
Step-by-step explanation:
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 6 numbers is 10, then
[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
Is the following statement TRUE or FALSE? Select the best choice from the following to justify your
answer.
log(e) = ln(e)
O FALSE. The two logarithms have different bases so their values are not the same.
O FALSE. The value of log(e) is undefined.
O TRUE. Both logarithms are equal to e.
O TRUE. Natural logarithms and common logarithms are always equal to each other.
Answer:
[tex]first \: answer \: is \: true[/tex]
Marking brainliest...
Answer:
C. 12
Step-by-step explanation:
Find the percentage of him drawing a blue marble.
4/10 = 0.4
He has a 40% chance of picking blue.
Find 40% of 30.
12
He would draw a blue marble around 12 times.
Answer:
C
Explanation:
So in the bag, there are 10 marbles, and 4 of them are blue, so if he drew from the bag 10 times, we can assume the fraction:
4/10
Next, we see that the denominator, or the number times Cade is drawing from the bag is 30, which makes us multiply most sides of the fraction by 3:
12/30
So I would say 12/30, but again, he wouldn't draw a blue exactly 4 times, and it may be more or less, so either 8/12....
Hope this helps!
Find the slope of the line that passes through the points
(-5,-6) and (5,10)
Answer:
8/5
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (10- -6)/(5 - -5)
= (10+6)(5+5)
= 16/10
= 8/5
1.6
Step-by-step explanation:
change in y ÷ change in x
(10--6)=16
(5--5)=10
16÷10=1.6
Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?
Given:
A right angle triangle with legs x and 10.
The angle opposite to the side with measure 10 is 33 degrees.
To find:
The value of x.
Solution:
We know that, in a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]
[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]
[tex]x=15.39864[/tex]
[tex]x\approx 15.4[/tex]
Therefore, the value of x is 15.4 units.
What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy
Answer:
seems hard
Step-by-step explanation:
YEEEEET IT AWAY
the circumference of a circle is 4π ft. find its diameter in feet
Answer:
4 is the diameter
Step-by-step explanation:
Given:
C = 4π
Formula for circumference:
C = 2πr
Work:
C = 2πr
4π = 2πr
r = (4π)/(2π)
r = 2
Diameter:
d = 2r
d = 2(2)
d = 4
no files i’ll report your answer
50 point answer
•
In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular
Answer:
C. PerpendicularStep-by-step explanation:
The lines are making 90° with each other.
JK ⊥ LM, the lines are perpendicularCorrect choice is C
please help!!!I don’t know how to solve
Step-by-step explanation:
formula for the first question:
a^2+b^2=c^2
8^2+6^2= 100
√100 = 10cm
I need help with this problem
"Solve for x
4x ≤ 12"
Please someone help me
x ≤ 3
Step-by-step explanation:
4x ≤ 12
divide each side by 4
x ≤ 3