The answer is A, 13
Step-by-step explanation:
The easy way to solve it was to plug in every answer to see which was equal to 32 since both sides were identical.
Which graph is a function of x?
Answer:
A vertical line through the origin
Step-by-step explanation:
An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. She considers 6 different temperatures, 5 different pressures, and 4 different catalysts are under consideration.
a. If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible?
b. How many experimental runs are there that involve use of the lowest temperature and two lowest pressures?
c. Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?
Answer:
a) 120 possible experimental runs
b) 8 possible experimental runs
c) 0
Step-by-step explanation:
a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.
N = T × P × C
N = 6 × 5 × 4 = 120
b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.
N = T × P × C
N = 1 × 2 × 4 = 8
c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.
Can you please help it’s hard!
Answer:
F
Step-by-step explanation:
6.b.Find the equation of the circle lies on 2x-3y+1=0 and the circle passing through the points (-1,2) and (2,3).
Answer:
(x + 1)² + (y - 7)² = 25Step-by-step explanation:
Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.
We'll find the equation of the line and solve the system to find the center.
Midpoint of the chord:
((-1 + 2)/2, (2 + 3)/2) = (0.5, 2.5)Equation of the line through chord (-1,2) and (2,3):
m = (3 - 2)/(2 + 1) = 1/3y - 2 = 1/3(x + 1)y = 1/3x + 7/3Perpendicular bisector is:
y - 2.5 = -3(x - 0.5)y = -3x + 4 >> (1)And the given line is:
2x - 3y + 1 = 0y = 2/3x + 1/3 >> (2)Solve the system:
-3x + 4 = 2/3x + 1/3-9x + 12 = 2x + 111x = -11x = -1Find y:
y = -3(-1) + 4 = 3 + 4 = 7The center is (-1, 7)
Find the radius, the distance from center to one of points on circle
(-1, 7) and (-1, 2) 7 - 2 = 5The equation of circle is:
(x + 1)² + (y - 7)² = 5²(x + 1)² + (y - 7)² = 25
Hope This Helps!!!
Hope This Helps!!!Have A GREAT DAY!!!
Which value of x will make the inequality true?
X - 4 >-2
A)-4
B)-1
C)0
D)5
[tex]\boxed{D)\:5}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{A)\:-4}[/tex] ❌
[tex]x - 4 < - 2 \\ = - 4 - 4 < - 2 \\ = - 8 < - 2[/tex]
[tex]\sf\purple{B)\:-1}[/tex] ❌
[tex]x - 4 < - 2 \\ = - 1 - 4 < - 2 \\ = - 5 < - 2[/tex]
[tex]\sf\purple{C)\:0}[/tex] ❌
[tex]x - 4 < - 2 \\ = 0 - 4 < - 2 \\ = - 4 < - 2[/tex]
[tex]\sf\red{D)\:5}[/tex] ✅
[tex]x - 4 > - 2 \\ = 5 - 4 > - 2 \\ = 1 > - 2[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Evaluate f(x)= 4x-2 when x= -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If x = -2, then substitute it into the given equation}[/tex].
[tex]\large\textsf{f(x) = 4(-2) - 2}[/tex]
[tex]\large\textsf{y = 4(-2) - 2}[/tex]
[tex]\large\textsf{4(-2) = \boxed{\bf -8}}[/tex]
[tex]\large\textsf{y = -8 - 2}[/tex]
[tex]\large\textsf{-8 - 2 = \boxed{\bf -10}}[/tex]
[tex]\boxed{{\large\text{y = \bf -10}}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf y = -10}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\quad\quad\quad\quad \tt{f(x) = 4x - 2}[/tex]
[tex]\quad\quad\quad\quad \tt{f( - 2) = 4( - 2)- 2}[/tex]
[tex]\quad\quad\quad\quad \tt{f( - 2) = ( - 8)- 2}[/tex]
[tex]\quad\quad\quad\quad \tt{f( - 2) = - 10}[/tex]
Hence, the answer is -10.[tex]\quad\quad\quad\quad\boxed {\tt{\color{green}f( - 2) = - 10}}[/tex]
__________
#LetsStudy
PLEASE HELP
what is the perimeter of a quadrilateral with vertices at (1,5), (6,5), (1,11), and (6,11)? enter the answer in the Ⴆσx
Answer:
perimeter = 25.62 units
Step-by-step explanation:
Let the quadrilateral be ABCD
A = (1, 5), B = (6, 5), C= (1, 11) , D = (6, 11)
To find the perimeter we need to add the lengths of sides AB , BC, CD, and AD.
Lets find the length of all sides using distance formula;
[tex]distance = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]AB = \sqrt{(1-6)^2+(5-5)^2} = \sqrt{25} = 5units\\\\BC= \sqrt{(6-1)^2+(5-11)^2} = \sqrt{25+36} =\sqrt{61} units\\\\CD=\sqrt{(1-6)^2 + (11-11)^2} = \sqrt{25} = 5units\\\\AD = \sqrt{(1-6)^2+(5-11)^2} = \sqrt{25+36} = \sqrt{61}units[/tex]
Perimeter = AB + BC + CD + AD
[tex]=10 + 2\sqrt{61} units[/tex] = 25.62 units
Tannis' first machine could throw a car 27 meters. She studied her first machine and built a better one. Her second machine could throw a car 7 times as far. How far does the second machine throw a car?
Choose 1 answer:
(Choice A)
The machine throws the car 189 meters, because 27×7=189.
(Choice B)
The machine throws the car 3 meters, because 27÷7=3 remainder 6.
(Choice C)
The machine throws the car 4 meters, because 27÷7=3 remainder 6.
Consider the equation y=-x2 - 7x + 12. Determine whether the function has a
maximum or a minimum value. State the maximum or minimum value. What are
the domain and range of the function?
Answer:
Max (-7/2, 97/4)
Domain: all real numbers
Range: (negative infinity, 97/4)
Step-by-step explanation:
Im assuming this is a quadratic equation y = -x^2-7x+12
The max/min are the vertex (-b/2a)
Ignore the answer I put please help and I’ll give brainliest
Answer:
B.
Step-by-step explanation:
3/12 reduces to 1/4.
1/2 alone is greater than 1/4, so when 2/10 is added to 1/2, it is certainly greater than 3/12.
Answer: B.
Michael Bob had a net income of $10,000 a month. His car note was $560 a month. What percent of his income was his car payments
According to Cavalieri’s Principle, if all of the following have the same height, which pair would NOT have the same volume? Explain why.
Answer:
Pair 2.
Step-by-step explanation:
For the volumes to be the same the base areas must also be the same.
For Pair 2 the areas are 25π and 24π while the other 2 pairs have both base areas = 25π.
Which type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3
inches?
A. a scalene triangle
B. an equilateral triangle
C. an isosceles triangle
D. no triangle
Answer:
the answer is C
Step-by-step explanation:
Which type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3
inches?
A. a scalene triangle
B. an equilateral triangle
C. an isosceles triangle
D. no triangle
The total points scored for the Warriors basketball team for each game during the season were 42, 20, 13, 64, 27, 35, 45, 40, 23, 12, 12, and 39. What is the standard deviation (6x)? A) 15.31 points B) 31 points © 15.99 points D) 12 points
Answer:
A. 15.31
I did the standard deviation calculator and this is what I got
which expression is equivalent to (5^-2) ^5 x 5^4
Answer:
6.4 × 10 ^-5
Step-by-step explanation:
(0.04)^5 × 625 = 6.4 × 10^-5 (6.4e-5)
Please help me find the answer
in the triangle EFG,
Answer:
[tex]4.\ \sin E = \cos G[/tex]
Step-by-step explanation:
Given
[tex]\triangle EFG[/tex]
[tex]\angle F = 90^o[/tex] --- right angle
Required
Which of the options is true
In a triangle, we have:
[tex]\angle E + \angle F + \angle G = 180^o[/tex] --- angles in a triangle
Substitute [tex]\angle F = 90^o[/tex]
[tex]\angle E + 90^o + \angle G = 180^o[/tex]
Collect like terms
[tex]\angle E + \angle G = 180^o -90^o[/tex]
[tex]\angle E + \angle G =90^o[/tex]
This implies that E and G are complementary angles.
For complementary angles, E and G;
[tex]\sin E = \cos G[/tex] and [tex]\sin G = \cos E[/tex]
Hence, (4) is true
Which approach is the best to find the volume of a cube?
A
Measure the length of one side and multiply the length by 3.
B
Measure the length of one side and multiply the length by itself.
© Count the number of 1-cubic-centimeter unit cubes that fit inside the cube.
D
Count the number of 1-square-centimeter unit squares that cover the cube.
Practice polynomials
solve and show your work
3x^2-14x-5
Answer:
( − 5 ) ( 3 + 1 )
Step-by-step explanation:
Use the sum-product pattern: 3 2 − 1 4 − 5
3 2 + − 1 5 − 5
Common factor from the two pairs: 3 2 + − 1 5 − 5
( 3 + 1 ) − 5 ( 3 + 1 )
Rewrite in factored form
Answer:
Step-by-step explanation:
Standard form:
3x2 − 14x − 5 = 0
Factorization:
(x − 5)(3x + 1) = 0
Solutions based on factorization:
x − 5 = 0 ⇒ x1 = 5
3x + 1 = 0 ⇒ x2 = −1
3
≈ −0.333333
Extrema:
Min = (2.333333, −21.333333)
Answer:
(3 x + 1 ) ( x − 5 )
16 meters of rope, i want to cut pieces of rope 0.2meters long. how many pieces can cut?
Answer:
80
Step-by-step explanation:
because 16 decided by 0.2 is 80
hope this helps!!!!
Marie had 12 pizzas. She wanted to give each person of a 1/4
pizza. How many people would receive a piece of pizza?
Answer:
48 people.
Step-by-step explanation:
Each person gets 1/4 of a pizza meaning that one pizza can serve 4 people. If one pizza can serve 4 people, 12 pizzas can serve 48 people, because 4x12=48.
Help please just right the ratio for all
Find the slope please and thank you!! :))
Answer:
3/2
Step-by-step explanation:
(y-y)/(x-x)=-1+7/2+2=6/4=3/2
Answer:
Slope = 1.5
Step-by-step explanation:
m = (y₂ -y₁) / (x₂-x₁)
m = (-1+7) / (2+2)
m = 1.5
In the triangle below, suppose that m angle L=(5x-3)m angle M=(4x-7)^ , and m angle N=x Find the degree measure of each angle in the triangle .
Please I need this done in 15 minutes !!!!!
Please help me solve this math problem and explain it. Will give BRANIEST!
(X^2+2xy+y^2)^2
Answer:
I'm sorry hindi ko po alam eh
Sara can weed a garden in 30 minutes. When her brother Hamdan helps her, they can weed
the same garden in 20 minutes. How long would it take Hamdan to weed the garden if he
worked by himself?
Step-by-step explanation:
Hello!The answer is:It will take 42.35 minutes to weed the garden together.
Why?
To solve the problem, we need to use the given information about the rate for both Laura and her husband. We know that she can weed the garden in 1 hour and 20 minutes (80 minutes) and her husband can weed it in 1 hour and 30 minutes (90 minutes), so we need to combine both's work and calculate how much time it will take to weed the garden together.
So, calculating we have:
Laura's rate:
\frac{1garden}{80minutes}
80minutes
1garden
Husband's rate:
\frac{1garden}{90minutes}
90minutes
1garden
Now, writing the equation we have:
Laura'sRate+Husband'sRate=CombinedRateLaura
′
sRate+Husband
′
sRate=CombinedRate
\frac{1}{80}+\frac{1}{90}=\frac{1}{time}
80
1
+
90
1
=
time
1
\frac{1*90+1*80}{7200}=\frac{1}{time}
7200
1∗90+1∗80
=
time
1
\frac{170}{7200}=\frac{1}{time}
7200
170
=
time
1
\frac{17}{720}=\frac{11}{time}
720
17
=
time
11
\frac{17}{720}=\frac{1}{time}
720
17
=
time
1
\frac{17}{720}*time=1
720
17
∗time=1
time=1*\frac{720}{17}=42.35time=1∗
17
720
=42.35
Hence, we have that it will take 42.35 minutes to weed the garden working together.
Have a nice day!What is a dialation?
A Making a shape bigger or smaller based on a scale factor.
A slide of a point in a certain direction.
A turn of a point around the origin.
A flip of a point across a line.
Someone please help me
Answer:
48
Step-by-step explanation: 1 foot is 12 inches. Since the feet are going up by ones, you can say 1=12, 2=24 (+12), 3=36(+12), 4=48(+12)
Hope this helps
Answer and Step-by-step explanation:
The answer is 48.
Each value of y is a multiple of 12, so for when there is 4 feet, you multiply 12 by 4 to get 48.
For when it is 1 foot, you multiply 12 by 1 to get 12.
For when it is 2 feet, you multiply 12 by 2 to get 24.
For when it is 3 feet, you multiply 12 by 3 to get 36
For when it is 5 feet, you multiply 12 by 5 to get 60.
If you were to continue, the y-values (aka the inches) will always be a multiple of 12.
#teamtrees #PAW (Plant And Water)
Find the length of the third side. If necessary, write in simplest radical form.
Let the third side be x :
( 3√5 )^2 = 6^2 + x^2
45 = 36 + x^2
x^2 = 45 - 36
x^2 = 9
x = 3
____ 2. The set of numbers {9, 8, 7, …}
A. x > ‐4
B. x < ‐4
C. x >_ ‐4
D.x <_ ‐4
Answer:
A. x > -4
Step-by-step explanation:
< less than
>greater than
the unknown number x is greater than -4
{9, 8, 7, ...} the number is counting down. So the next number is 6.
is 6 greater than -4
or less than -4
therefore
x(which is 6) is greater than -4
x > -4
Answer:
c
Step-by-step explanation: