Answers
Answer: Third Choice. 20
Concept:
Here, we need to know the idea of a slope.
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)
Solve:
STEP ONE: Select two points on the line that intersects with the grids
A (0, 5)
B (1, 25)
STEP TWO: Apply the formula
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (25 - 5) / (1 - 0)
Slope = 20 / 1
Slope = 20
Hope this helps!! :)
Please let me know if you have any questions
Answer:
20
Step-by-step explanation:
We can find the slope of the line by using the slope formula
Slope = (y2 - y1)/(x2-x1)
Where the x and y values are derived from points chosen on the line
The points chosen may vary but I have chosen (1,25) and (2,45)
Now that we have chosen the points let's define our variables ( our variables are x1 x2 y1 and y2 )
x1 is the x value of the first point chosen.The x value of the first point chosen is 1 so x1 = 1
x2 is the x value of the second point chosen. The x value of the second point chosen is 2 so x2 = 2
y1 is the y value of the second point chosen. The y value of the first point chosen is 25 so y1 = 25
y2 is the y value of the second point chosen. The y value of the second point chosen is 45 so y2 = 45
Now to find the slope we simply plug in the values of the variables into the formula
Formula: (y2 - y1)/(x2-x1)
Variables: x1 = 1, x2 = 2, y1 = 25, y2 = 45
Plug in values
(45-25)/(2-1)
Subtract top numbers
(20)/(2-1)
Subtract bottom numbers
20/1
Simplify
The slope is 20
Related Questions
a2 - ab + 8b + b2 - 1
Answers
Answer:
а²-ab+8b+b²-1=a(a-b)+b(8+b)-1
Last question guys! Help help help
Answers
9514 1404 393
Answer:
slope 125, annual dues paymentStep-by-step explanation:
The two given points can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (650 -400)/(4 -2) = 250/2 = 125
The vertical axis is cost, and the horizontal axis is years, so the slope is the ratio of these: cost per year.
The slope of $125 per year is the yearly membership dues cost.
1) Respond to the following questions.
What is the relationship between exponential and logarithmic functions?
Describe a real life situation in which exponential functions are used.
Describe a real life situation in which logarithms are used.
Answers
Given f(x) =x^2 , after performing the following transformations: shift upward 84 units and shift 13 units to the right, the new function g(x) =
Answers
g(x) = (x - 13)^2 + 84
= x^2 - 26x + 169 + 84
= x^2 - 26x + 253
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1100 bacteria selected from this population reached the size of 1177 bacteria in three hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Answers
Answer:
Rate = 10^(log[Ending Amount / Beginning Amount] ÷ time) -1
Rate = 10^(log(1177 / 1100) ÷ time) -1
Rate = 10^(log( 1.07) ÷ 3) -1
Rate = 10^(0.029383777685 /3) -1
Rate = 10^(0.0097945926) -1
Rate = 1.0228091219 -1
Rate = .0228091219% / hour
Source http://www.1728.org/expgrwth.htm
Step-by-step explanation:
As...
Which of the following geometric series diverges?
Answers
Answer:
II and II only.
Step-by-step explanation:
The first series converges because the common ratio r is 0.8 (<1).
II diverges as |r| > 1.
III is an alternating series with r = -4 - that is |r| = 4 so it diverges.
From the given-series, the series which diverges are : (ii) 4 + 8 + 16 + 32; and (iii) 2 - 8 + 32 - 128 + ..., So, correct option is (a) (ii) and (iii) only.
In option (ii), the series 4 + 8 + 16 + 32 is a geometric series with a common ratio of 2. We see that the "common-ratio" is greater than 1, this series diverges.
In option (iii), the series 2 - 8 + 32 - 128 is a geometric series with a common-ratio of |-4| = 4. We see that the "absolute-value" of the "common-ratio" is greater than 1, this series also diverges.
But, in option (i), the series -9.2 - 7.36 - 5.888 - 4.7104 is a geometric series with a common ratio of |-0.8| = 0.8. Since the "absolute-value" of the "common-ratio" is less than 1, this series converges.
Therefore, the correct answer is (a) (ii) and (iii) only.
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Karen is having a party. She'll have 4 tables for every 12 guests. Complete the table below showing the number of tables and the number of guests.
Answers
The smallest whole number is _______.
Answers
Step-by-step explanation:
The smallest whole number is 0 .if qqq=90 what's qqqq+87
Answers
Answer: [tex]90\sqrt[3]{90}+87[/tex]
Step-by-step explanation:
[tex]qqq=90\\q^3=90\\\sqrt[3]{q^3} =\sqrt[3]{90}\\q= \sqrt[3]{90}\\\\qqqq+87\\q^3q^1+87\\90\sqrt[3]{90}+87[/tex]
Two six sided dice are rolled. What is the probability of one of those being a 4?
Answers
P(not 4)=5/6
n=2 p=1/6 q=5/6
P(X=1)=2C1*(1/6)*(5/6)*=5/18
ans:5/18
or list down all the sample space
i only list down getting a 4
{(1,4),(2,4),(3,4),(5,4),(6,4),(4,1),(4,2),(4,3),(4,5),(4,6)}
P(getting a 4)=10/36=5/18
Coronado reported the following information for the current year: Sales (44000 units) $880000, direct materials and direct labor $440000, other variable costs $44000, and fixed costs $360000. What is Coronado’s break-even point in units?
a) 32727.
b) 40000.
c) 60923.
d) 36000.
Answers
11. What is the reciprocal of 6/5?
OA. 12/20
OB.11/5
OC.1
OD.576
Answers
Answer: The answer is D, 5/6.
Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.
Answer:
5/6
Step-by-step explanation:
The reciprocal is where you flip the fraction
6/5 -> reciprocal -> 5/6
I'm not sure about your answer choices tho, sorry
Gina charges an initial fee and an hourly fee to babysit. Using the table below find the hourly fee and the initial fee that
Gina charges to babysit. Show work.
Answers
6/5w-7 = blank/ 49-35w
Answers
Answer:
Resolver para x
x=8869w/5 - 343
Step-by-step explanation:
simplificando ambos lados de la ecuación, entonces aislar la variable. x
USE THE PRESENT VALUE FORMULA TO CALCULATE THE AMOUNT OF MONEY THAT MUST BE INVESTED NOW AT 9% ANNUALLY COMPOUNDED QUARTERLY TO OBTAIN 1,000 IN 4 YEARS.
Answers
Answer:
The amount of money that must be invested is $252.
Step-by-step explanation:
Present value formula:
The present value formula is given by:
[tex]P = \frac{F}{(1+r)^n}[/tex]
In which:
P is the present value.
F is the future value.
r is the interest rate.
n is the number of periods.
9% ANNUALLY
This means that [tex]r = 0.09[/tex]
COMPOUNDED QUARTERLY TO OBTAIN 1,000 IN 4 YEARS.
Obtain 1000 means that [tex]F = 1000[/tex]
Compounded quarterly in 4 years, so 4*4 = 16 periods and [tex]n = 16[/tex].
Amount of money that must be invested:
[tex]P = \frac{F}{(1+r)^n}[/tex]
[tex]P = \frac{1000}{(1+0.09)^{16}}[/tex]
[tex]P = 252[/tex]
The amount of money that must be invested is $252.
I need help ASAP please!
Answers
Answer:
Option C
We need to make the negative exponent positive.
The rule is: [tex]A^{-B} =\frac{1}{A^{B} }[/tex]
Here, A=x, B= 12
[tex]so,[/tex] [tex]x^{-12}[/tex]
[tex]=\frac{1}{x^{12} }[/tex]
OAmalOHopeO
Instructions: Find the missing side. Round your answer to the nearest tenth.
22
58°
Answers
Answer:
x = 19.2
Step-by-step explanation:
tan(58)=x/12
x=12×tan(58)
x=19.2
Answered by GAUTHMATH
State if the scenario involves a permutation or a combination. Then find the number of possibilities.
The student body of 290 students wants to elect a president and vice president.
Permutation/Combination:
Answer:
Answers
Answer:
Permutation. ; 83810 ways
Step-by-step explanation:
Permutation and combination methods refers to mathematical solution to finding the number of ways of making selection for a group of objects.
Usually, selection process whereby the order of selection does not matter are being treated using permutation, while those which takes the order of selection into cognizance are calculated using combination.
Here, selecting 2 members (president and vice president) from 290 ; since order of arrangement does not matter, we use permutation ;
Recall :
nPr = n! ÷ (n - r)!
Hence,
290P2 = 290! ÷ (290 - 2)!
290P2 = 290! ÷ 288!
290P2 = (290 * 289) = 83810 ways
PLEASEEEE PLEASEEEE HELPPPP
i need an equation for a vertical line going through f(x) = 2x^2 + 6x + 2
Answers
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
Bill wants to attend a college with a current tuition of $10,000 a year. He will graduate from high school in five years. Roughly how much will Bill need to save for one-year’s tuition to account for an annual rate of inflation of 3%?
A. $638.30
B. $667.50
C. $656.50
D. $633.30
Answers
Answer:
I think the anser is 667.50
Step-by-step explanation:
A store surveyed their customers to find out their ages. The bar graph below shows the number of customers in each age group. What percent of customers surveyed were over 50%? Round your answer to 1 decimal place.
Answers
Bar graphs are used to represent data, where the vertical axis represents the frequency and the horizontal axis.
The percentage that is over 50 is 15.6%:
The data on the bar graph can be represented as:
Under 17 [tex]\to[/tex] 25
18 - 24 [tex]\to[/tex] 35
25 - 34 [tex]\to[/tex] 40
35 - 50 [tex]\to[/tex] 35
Over 50 [tex]\to[/tex] 25
So, the total customer surveyed are:
[tex]Total = 25 + 35 + 40 + 35 + 25[/tex]
[tex]Total = 160[/tex]
The percentage over 50 are:
[tex]\%Over\ 50 = \frac{Over\ 50}{Total } * 100\%[/tex]
[tex]\%Over\ 50 = \frac{25}{160} * 100\%[/tex]
[tex]\%Over\ 50 = 0.15625* 100\%[/tex]
[tex]\%Over\ 50 = 15.625\%[/tex]
Approximate
[tex]\%Over\ 50 = 15.6\%[/tex]
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if a/b = 3 and a + b = 2, what is a - b
Answers
Answer:
1
Step-by-step explanation:
a/b=3------equation 1
a+b=2-----equation 2
from equation 2
b=2-a
substitute b=2-a in equation 1
a/2-a=3
a=3(2-a)
a=6-3a
a+3a=6
a=6/4
a=3/2
substitute a=3/2 in equation 2
3/2+b=2
3+2b=4
2b=1
b=1/2
a-b=3/2-1/2
a-b=(3-1)/2
a-b=2/2
a-b=1
Suppose that a defendant in a first-degree murder trial has 52% chance of being convicted of murder, a 26% chance of being convicted of a lesser charge, and a 22% chance of being found not-guilty. Find the percent chance that the defendant is convicted on any charge.
Answers
Answer:
78%
Step-by-step explanation:
This question is pretty straight forward. Here we are to find the percentage probability of the of the defendants being convicted on any charge.
From the information available to us there's a 52% chance of being convicted of murder and also there's another 26% chance of conviction of something smaller. From this data available, the percentage chance that there will be a conviction is
52% + 26%
= 78%
What's an equivalent fraction of 3/4 that has a denominator of 32
Answers
Answer:
24/32
Step-by-step explanation:
[tex]\frac{3}{4} = \frac{x}{32}[/tex]
To get from 4 to 32, you multiply by 8
so to get from 3 to x, multiply by 8
The answer for this would be 24/32
1/6+4/18 in simplest form
Answers
Answer:
7/18
Step-by-step explanation:
1/6 x 3 = 3/18
3/18 + 4/18 = 7/18
Answer:
7/18
Step-by-step explanation:
Make the denominators the same!
You can turn 1/6 into 3/18 by multiplying the numerator and denominator by 3. Then you add the numerators of 3/18 and 4/18 together to get 7/18.
It can't be simplified any further :)
A rectangular floor is 9 yards long and 3 yards wide. What is the area
Answers
27 yards
Step-by-step explanation:
Area = Length • Width
Area = 9 • 3
Area = 27yrds
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and a third side is 22 more than the length of the shortest side. Find the dimensions if the perimeter is 182 feet.
Answers
Answer:40, 80 and 62
Step-by-step explanation:
182-22= 160
160/4 = 40 so,
Shortest side is 40
Longest is 80
Third side is 62
A company specializing in parachute assembly claims that its main parachute failure rate is at most 1%. You perform a hypothesis test to determine whether the company's claim is true or false. Your sample data resulted in enough evidence to go against the claim made by the company. It was later determined that the claim made by the company was actually incorrect. What kind of error, if any, was committed
Answers
Answer:
There was enough evidence to reject the null hypothesis, and in fact, the null hypothesis is false, which means that no error was committed.
Step-by-step explanation:
A company specializing in parachute assembly claims that its main parachute failure rate is at most 1%.
At the null hypothesis, we test if the proportion is of at most 1%, that is:
[tex]H_0: p \leq 0.01[/tex]
At the alternative hypothesis, we test if the proportion is of more than 1%, that is:
[tex]H_0: p > 0.01[/tex]
Type I and type II errors:
Type I: Rejection of a true null hypothesis. The null hypothesis is true, but from a sample, you get enough evidence to reject.
Type II: Non-rejection of a false null hypothesis. The null hypothesis is false, but from a sample, you do not get enough evidence to reject.
Your sample data resulted in enough evidence to go against the claim made by the company.
This means that there was enough evidence to reject the null hypothesis.
It was later determined that the claim made by the company was actually incorrect.
The null hypothesis was false.
What kind of error, if any, was committed?
There was enough evidence to reject the null hypothesis, and in fact, the null hypothesis is false, which means that no error was committed.
Hey guys today you could help that would be great
Answers
Answer:
answer c
Step-by-step explanation:
(3x^3-2x^2+4x-5)+(6x-7)
3x^3-2x^2+10x-12
Can some please help please thank you
Answers
Answer:
D. ( f + g)(x) = 2x^3 + 3x^2 - 5x - 3
