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.
The original cost of a laptop computer was x dollars. The expression 0.36 represents the value of the laptop today. Choose two expressions that also represent the value of the laptop today.
Answer:
0.36x, [tex]\frac{9}{25}[/tex]x
Step-by-step explanation:
36/100 = 9/25
Determine the area of the figure shown. Note that each square unit is one unite in length
Answer:
74 units squared
Step-by-step explanation:
we know that the area of a square or rectangle is A = L × w
so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.
so I'll start with the middle square its length is 8 and width is 8 too.
A = 8 × 8
A = 64
now we'll move on to the other small ones to the side.
the one on the right side it's length is 2 and width is 2.
A = 2 × 2
A = 4
and then the last one on the left, Length is 3, width is 2.
A = 2 × 3
A = 6
now we'll add up all of the areas to get the total area.
Total = 64 + 4 + 6
Total = 74 units squared
10 POINTS PLEASE HELP) Select the correct graph for the function ƒ(x) = 3x + 4.
LOOK AT PICS FOR OPTIONS
Answer:
C
Step-by-step explanation:
4 is the y-intercept and 3 is the slope making the answer C.
As per the data the graph (A) represents the graph of the function f(x) = 3x+4 option (C) is correct.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of the function:
f(x) = 3x + 4
Let's plug x = 0
f(0) = 4
Let's plug x = 1
f(1) = 7
Let's plug x = -1
f(-1) = 1
Thus, as per the data above the graph (C) represents the graph of the function f(x) = 3x+4 option (C) is correct.
Learn more about the function here:
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#SPJ2
plzz help asap ill give brainliest
Answer:
[tex]c=\frac{ab}{a+b}[/tex]
Step-by-step explanation:
To solve for [tex]c[/tex], our goal is to isolate it.
Start by multiply both sides by [tex]ab[/tex]. That way, we'll still have only one term with [tex]c[/tex], but we'll be able to get rid of two messy fractions.
[tex]b+a=\frac{ab}{c}[/tex]
Taking the reciprocal of both sides:
[tex]\frac{1}{a+b}=\frac{c}{ab},\\c=\boxed{\frac{ab}{a+b}}[/tex]
*Note: You cannot take the reciprocal of both sides if you're adding fractions. This is why we can't just take the reciprocal of both sides in the initial equation.
Alternate solution:
[tex]\frac{1}{a}+\frac{1}{b}=\frac{b}{ab}+\frac{a}{ab}=\frac{1}{c},\\\\\frac{b+a}{ab}=\frac{1}{c},\\\\c=\frac{ab}{b+a}=\boxed{\frac{ab}{a+b}}[/tex]
Answer:
c=ab
a+b
Step-by-step explanation:
1 + 1= 1
a. b. c
a+b = c
ab
a+b= ab
c
ac+bc=ab
c(a+b)=ab
c(a+b)=ab
a+b. a+b
c=ab
a+b
Help- No links please!!
Answer:
2 times length of AB
Step-by-step explanation:
Given
[tex]AB =50\%[/tex]
Required
Length of line with 100%
To get the length of line segment that is 100%, simply multiply AB by 2
i.e.
[tex]2 * AB =2 * 50\%[/tex]
[tex]2 AB =100\%[/tex]
Assume AB = 5cm (at 50%). The length at 100% will be 10cm i.e. 2 * 5cm
Segment CB is a____
Answer:
Radius
Step-by-step explanation:
CB = AB/2
Since AB is the diameter, CB is a radius
AABC - DEF. What sequence of transformations will move A ABC onto A DEF? 10 8 A(0.4) B(0,0) C(3.0) -10 -8 -6 -4:1-2 6 8 10 -2D(0.2) 24 8 -10 E(0.-10) F( 6-10)
Answer:
Option B
Step-by-step explanation:
It's clear from the graph attached,
ΔABC has been dilated and shifted downwards.
Length of segment AB = 2 units
Length of segment DE = 4 units
Scale factor by which the dilation has been done = [tex]\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}[/tex]
Scale factor = [tex]\frac{DE}{AB}[/tex]
= [tex]\frac{4}{2}[/tex]
= 2
Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.
Lets consider a point B(0, 0) from the given graph and analyze the transformations done.
If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,
B(0, 0) → E(0 + h, 0 + k)
Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.
Therefore, (0 + h) = 0 ⇒ h = 0
0 + k = -10
k = -10
Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)
Option B is the correct option.
Help pls help pls help pls
Answer: 3900[tex]\pi[/tex] ft^3
if you use the formula on how to find the volume of a cone
V=[tex]\pi[/tex]r^2*h/3
you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3
What is the result of adding two or more numbers?
Answer: A sum
Step-by-step explanation: The result of adding two or more numbers together is a sum.
When two (or more) numbers are added together, the result is called a sum.
Circumference and Area of Circles
Answer:
Step-by-step explanation:
Circumference for a circle equation is: [tex]2\pi r[/tex]
1. 31.4 in
2. 88 mm
3. 69.1 yd
4. 578.5 m
Area for circle equation is: [tex]\pi r^{2}[/tex]
5. 490.9 m^2
6. 227 ft^2
7. 35.8 mi^2
8. 86.6 cm^2
9. Area: 50.3 cm^2, circumference: 25.1 cm
10. Area: 69.4 in^2, circumference: 29.5 in
11. Area: 2.5 ft^2, circumference: 5.7 ft
12. Area: 36.3 km^2, circumference: 21.4 km
13. Area: 154 yd^2, circumference: 44 yd
Marci performed a division. 175 was the dividend, 5 was the divisor, and 35 was the quotient. Which is a correct representation of this problem
Answer:
175/5 = 35
Step-by-step explanation:
dividend/divisor = quotient
175/5 = 35
Which equation is a linear function
Answer:
[tex]y=\frac{x}{2} -5[/tex]
Step-by-step explanation:
Linear functions are those whose graph is a straight line.
A linear function has the following form: [tex]y=f(x)=a+bx[/tex]
A linear function has one independent variable and one dependent variable.
The independent variable is x and the dependent variable is y.
The degree of a linear equation must be 0 or 1 for each of its variables.
1. The degree of the variable y is 1 which means it is not linear.
2. The degree of the variable y is 1 and the degree of variable x is 1 so it is linear.
3. The degree of the variable y is 1 and the degree of the variable x is 2 so it is not linear.
4. The degrees of the variable violates the linear equation definition so it is not linear.
PLZ HELP ASAP!!! What is the area of sector DEF in terms of pi ?
120°
3 cm
E
Answer:
Area of the sector : D.
3π cm²
if 5,4 and 15 and x are in proportion find the value of x
1) Which triangle is both scalene and acute?
70°
510
10 ft
6.8 ft
10 ft
9 Ft
40°
70°
58° 71°
8.3 ft
10 ft
10 ft
102
90°
7 ft
10 ft
7 ft
31°
47°
35°
55°
13.3 Ft
12.2 ft
Done
Answer:
Step-by-step explanation:
Top right one. All angles are acute( < 90 degrees) and different .
alice does a sponsored walk se starts from home on monday 8am she arrives back home 55 hours later work out when she arrives back home
Answer: Alice returns on Wednesday, 3 pm.
Step-by-step explanation: One day is 24 hours long. 55 hours is 2 days and 7 hours. So Alice comes back home on Wed , add 8 am 7 hours and you get 3 pm
The time that Alice would arrive home from the sponsored walk given the the time she starts the walk is Wednesday by 3pm.
What time would Alice arrive home?The first step is to divide 55 hours into days. This can be done by dividing 55 hours by 24.
55/24 = 2 days 7 hours
The second step is to add 2 days 7 hours to 8am: Monday 8am + 2 days 7 hours = Wednesday 3pm
To learn more about how to calculate time, please check: https://brainly.com/question/26290873
Can somebody please tell me the answer of this?
Answer:
20
Step-by-step explanation:
[tex]15^2+b^2=25^2\\225+b^2=625\\625-225=b^2\\b^2=400\\\sqrt{400}=20[/tex]
What’s the answer and How do you do these
Which pair of ratios form a proportion? A. 2 : 3 and 3 : 4 B. 8 : 12 and 16 : 20 C. 4 : 7 and 12 : 21 D. 9 : 15 and 10 : 16
Answer:
C 4:7 and 12:21
Step-by-step explanation:
4×3 => 12
7×3 => 21
Write the inverse function for the function, ƒ(x) = 1/2 x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answer:
[tex] {f}^{ - 1} (x) = 2x - 8[/tex]
[tex] {f}^{ - 1} (4) = 0[/tex]
Step-by-step explanation:
[tex] y = \frac{1}{2} x + 4 = = = > \\y - 4 = \frac{1}{2} x = = = > \\ 2y - 8 = x = = > {f}^{ - 1} (x) = 2x - 8[/tex]
[tex] \frac{1}{2} x + 4 = 4 = = = > \\ \frac{1}{2} x = 0 = = = > x = 0[/tex]
a baker made cakes, cookies, and buns, of the total number of baked products he made, 28% more cookies. The number of cakes was three times the number of buns. He made 270 cakes. He sold 40 buns and 120 cakes. how many cookies must he sell that The ratio of the number of buns left the number of cakes to the number of cookies left is 1 : 3 : 2. HELP PLEASEEE
Answer:
40 cookies was sold
Step-by-step explanation:
Let x represent the number of cakes baked, y represent the number of cookie baked and z represent the number of buns baked.
He made 270 cakes. Therefore x = 270
28% of the total baked products where cookies, hence:
0.28(270 + y + z) = y
75.6 + 0.28z = 0.72y
0.72y - 0.28z = 75.6 (1)
The number of cakes was three times the number of buns. Hence:
x = 3z
3z = 270
z = 90
Put z = 90 in equation 1:
0.72y - 0.28(90) = 75.6
0.72y -25.2 = 75.6
y = 140
Therefore 270 cakes was baked, 140 cookies was baked and 90 buns was baked.
He sold 40 buns and 120 cakes, the number of buns and cakes left is 50 buns and 150 cakes. Let us assume that number of cookies left was a. Since the ratio of left buns to cakes to cookies is 1:3:2. Hence:
(1/6) * (50 + 150 + a) = 50
300 = 200 + a
a = 100
Therefore 100 cookies was left. The number of sold cookies = 140 - 100 = 40
What is the vertex of the graph of f (x) = 2x2 – 4x ?
Answer:
Step-by-step explanation:
vertex at (x,y)=(1,−1)
axis of symmetry: x=1
mark brailiest
SOMEONE HELPPP PLEASE!! Complete the table to represent the number of seashells in the collection after the first four summers
Answer:
6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.
Step-by-step explanation:
15 substituted in for f and x is the the number of summers.
Answer:
6
21
36
51
Illuminate test.
the image will help u-u ssssss
Answer:
The first option:
7,10,8,11
Step-by-step explanation:
It's going in a pattern by counting numerically every other number. It's does this starting from 6 and starting from 4. I'm not sure how to explain this well but I hope you get it.
How can a group of people be considered a population and sample?
The entire group about which you want to draw conclusions is referred to as a population. A sample is a subset of the population from which you will collect data. The sample size is always smaller than the population's total size. A population in research does not always refer to people.
The following dot plots describe the test scores on Mr. Santos’s final exam.
The second-period class is represented on a number line where the numbers fifty-five to ninety-five are plotted at intervals of five. There is one bullet each plotted above fifty-five, seventy, and ninety-five. Six bullets each are plotted above seventy-five and eighty. Two bullets are plotted above eighty-five and three bullets are plotted above ninety.
The sixth-period class is represented on a number line where the numbers fifty-five to ninety-five are plotted at intervals of five. There is one bullet plotted above sixty-five and two bullets above ninety-five. Three bullets each are plotted above seventy-five and ninety, five bullets above eighty, and six bullets are plotted above eighty-five.
Form a valid inference based on the means of the data sets. Use the drop-down menu to show your answer.
On average, students in the sixth-period class scored
Choose... (Higher, Lower)
as compared to students in the second-period class.
Answer:
It is higher I have no time to explain. Hope it's right!
Consider the sequence 3/4,4/5,5/6,6/7,... Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to [infinity]. The sequence converges to –[infinity].
Answer:
The sequence converges to 1.
Step-by-step explanation:
[tex]\frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}\\\\The \ general \ term = \frac{n -1}{n}\\\\ \lim_{n \to \infty} (\frac{n -1}{n}) = \lim_{n \to \infty} \frac{n(1 -\frac{1}{n})}{n} = \lim_{n \to \infty} 1 - \frac{1}{n} = 1 - \lim_{n \to \infty} \frac{1}{n} = 1[/tex]
[tex][ \lim_{n \to \infty} \frac{1}{n} = 0][/tex]
which pair of expressions are equivalent?
A. j + j + j + j and j4
B. 16g + 10 - 4g and 20g + 10
C. 16c + 24c and (4c + 6c)
D. 14e^2 + 3e + 8 and 17e^2 + 8
Answer:
A.
[tex]j + j + j + j \: and \: j4[/tex]
On average, there are 177,000 cars on the road every hour in Los Angeles. 1 point
In March 2020, the coronavirus shutdown, resulted in Los Angeles having
80% fewer cars on the road. How many cars were on the road in March
2020 every hour in Los Angeles, after the 80% reduction?
Answer:
Number of cars on road in 2020 = 35,400 car
Step-by-step explanation:
Given;
Number of cars on road = 177,000
Decrease in cars on road in 2020 = 80%
Find:
Number of cars on road in 2020
Computation:
Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]
Number of cars on road in 2020 = 177,000[1-80%]
Number of cars on road in 2020 = 177,000[1-0.80]
Number of cars on road in 2020 = 177,000[0.20]
Number of cars on road in 2020 = 35,400 car
In 5 minutes how many more words per minute can Clair type than graham if graham can type 260 words but Clair can type 275
Answer:
3 more words per minute
Step-by-step explanation:
So Graham types 260 words / 5 minutes = 52 words per minute
And Clair types 275 words / 5 minutes = 55 words per minute
Thus Clair ypes 55-52 = 3 more words per minute