to get the slope of any straight line, we simply need two points off of it.
so from what I can tell in the graph, check the picture below, the line goes above the 4 about 3/4 pretty much, or namely 0.75 above the 4, that'd make it 4.75, the graph also goes below the -3, about 1/4 below, namely 0.25 that'd make it -3.25, because two grid lines make up a whole number, so let's use those two points to get its slope.
\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{-3.25})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{4.75}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4.75}-\stackrel{y1}{(-3.25)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-2)}}} \implies \cfrac{4.75 +3.75}{2 +2}\implies \cfrac{8}{4}\implies \text{\LARGE 2}\)
a clock chimes once at 1, twice at 2
Answer:
3 times at 3
Step-by-step explanation:
what polynomial has roots of -5, - 4 and 1
Answer:
\(\boxed{\sf \ \ \ x^3+8x^2+11x-20 \ \ \ }\)
Step-by-step explanation:
hello,
(x+5)(x+4)(x-1) is one example of polynomial which has roots of -5,-4 and 1
\((x+5)(x+4)(x-1) = (x+5)(x^2-x+4x-4)=(x+5)(x^2+3x-4)\\= x^3+3x^2-4x+5x^2+15x-20=x^3+8x^2+11x-20\)
hope this helps
What is the solution to the equation?
2(x + 7) 2/3 = 8
Answer: x = -1
Step-by-step explanation:
simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there
Find the least number which leaves a remainder 7 when it's divided by any one of the number : 20, 30 and 40 .
Find LCM first
2 |20,30,40
2 |10,15,20
2 |5,15,10
3 |5,15,5
5 |5,5,5
. |1,1,1
2×2×2×3×5=120Now remainder is 7
The number is 120+7=127
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
m represents the slope.c represents the y-intercept.x and y are the data points.What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the information provided regarding the equations and graphs, the y-intercept are as follows:
The y-intercept of y = 4x + 5 is equal to 5.The y-intercept of this graph with point (0, 4) is 4.Read more on y-intercept here: brainly.com/question/19576596
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What is 2 1/3 ÷ 1 1/2??
Answer:
2 1/3 / 1 1/2 = 1.55555556
Step-by-step explanation:
Answer:
1.555555556
Step-by-step explanation:
because its the answer dude
Enter the ordered pair that is the solution to the system of equations graphed below.
y=3/5x-1
y=x-3
Answer:
x = 5/2
y = -1/2
Step-by-step explanation:
if both equations start with 'y=' then set the expressions equal to each other
3/5x - 1 = x - 3
add 1 to each side to get:
3/5x = x - 1
subtract 5/5x from each side:
3/5x - 5/5x = -1
-2/5x = -1
multiply each side by -5/2:
x = 5/2
y = 2 1/2 - 3
y = -1/2
Car, x. When researchers looked at the association of x and y, they found that the coefficient of determination was = 0.158. Select two conclusions that the researcher can make from this data.
a) About 40% of the variation in the age of the car is explained by a linear relationship with the value of the car.
b) The correlation coefficient, r, is 0.842.
c). The correlation coefficient, r, is 0.025.
d) The correlation coefficient, r, is 0.397
e) About 84% of the variation in the value of the car is explained by a linear relationship with the age of the car
f.) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.
Answer:
D and f
Step-by-step explanation:
From the question,
Coefficient of determination r² = 0.158
D.
To get the correlation coefficient,
We take the square root of birth sides,
√r² = √0.158
r = 0.397
F.
The coefficient of determination = 0.158
When approximated, we get 0.16
0.16 x100
= 16percent
So 16% of this variation explains the linear relationship with age of car
So from the explanations for d and f above, it is evident that the answer options I chose are the correct answers to the question.
A random variable is not normally distributed, but it is mound shaped. It has a mean of 11 and a standard deviation of 4.
If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why?
Using the Central Limit Theorem, nothing can be stated about the shape of the sampling distribution for the sample mean, as the sample size is less than 30.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, we have a skewed variable and n < 30, hence nothing can be stated about the shape of the sampling distribution for the sample mean.
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Which value of x makes the following equation true?
5.8(x - 4) = -0.2x + 6.8
A. 5
B. 4
C. 8
D. 7
Joyce drives from Louisville to St. Louis which is 260 miles in 4 hours. How many miles can she drive in 10 hours
Answer:
260 miles in 4 hours equals (260 / 4) = 65 miles per hour
In 10 hours she can drive 650 miles
Step-by-step explanation:
There are 18 students in sir Sam 4th PE class. Each student will be given 2 1/2 minutes to explain how to solve his word problem with fractions. How long it will take for all 18 students to explain their answers? (Show solutions)
Answer:
44
Step-by-step explanation:
18 * 2.5 = 44
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
PLEASE ANSWER
IMAGE ATTACHED
Answer:
115.7625
Step-by-step explanation:
100(1.05)^3=115.7625
of 16 Step 1 of 1
Teagan wants to buy a new generator. The generator costs $2050. Teagan decides to finance the generator for 24 months at an APR of 11.5%.
Determine Teagan's monthly payment. Round your answer to the nearest cent, if necessary.
01:11:21 0
Formulas
With an APR of 11.5%, Teagan decides to finance the generator for 24 months. 1.29% is Teagan's Rate.
Explain about the Interest?In its most basic form, interest is computed as a percentage of the principle. The interest you would pay, for instance, would only be 5% of $100 if you borrowed $100 from a friend and agreed to reimburse it with 5% interest: $100(0.05) = $5.
An expense associated with borrowing money or other assets is interest. The principal, which represents the amount borrowed, is what's referred to as interest, which is calculated as a percentage of the principal over a specified period of time.
The interest rate for the loan is denoted by this proportion. When you place money in a high-yield savings account, for instance, a bank will give you interest.
= 11.5 x 1/100 = 0.155
= 0.155 ÷ 12 = 0.01291
= 1.29% Rate
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
There are 9 players on a youth baseball team. To create the lineup, the coach chooses three players to play pitcher, catcher, and first base. How many ways can the coach choose these three positions?
Step-by-step explanation:
how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .
Evaluate each expression if m=4,z=9,and r=1/6
1. 12r
2. 60r - 4
3. 3r power of 2
Answer:
1. 12r= 2
2. 60r - 4= 6
3. 3r power of 2= 1/12
Step-by-step explanation:
1. 12r = 12* 1/6= 12/6= 2
2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6
3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12
or
(3*1/6) power of 2= (1/2) power of 2= 1/4
n Circle E, if measure of arc AB = 140, find the m
Answer:
noob
Step-by-step explanation:
lol imagine not knowing, u noob
What’s the side length of x2+4x+4
Answer:
(x+2)^2
Step-by-step explanation:
As part of a survey, 2400 people were asked to name their favorite sport to watch. The table below summarizes their answers. This information is also presented
as a circle graph.
Find the central angle measure, x, for the Baseball slice in the circle graph. Do not round.
Sport
Football
Soccer
Baseball
Basketball
Hockey
Other
Percentage
of People
29%
9%
14%
8%
8%
Soccer
Baseball
Basketball
Football
Other
Hockey
The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:
Football 29%
Soccer 9%
Baseball 14%
Basketball 8%
Hockey 8%
Other 32%
We need to find the central angle measure, x, for the Baseball slice in the circle graph.
For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:
Central angle measure = (Percentage/100) × 360°
Now, using the above formula, we can calculate the central angle measure for each sport as shown below:
Football: (29/100) × 360° = 104.4°
Soccer: (9/100) × 360° = 32.4°
Baseball: (14/100) × 360° = 50.4°
Basketball: (8/100) × 360° = 28.8°
Hockey: (8/100) × 360° = 28.8°
Other: (32/100) × 360° = 115.2°
The sum of all central angle measures should be 360°, which is the measure of a full circle.
So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°
We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.
Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
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In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
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triangle ABC is an isoceles triangle in which AB=AC. what is the perimeter of triangle ABC?
Layla missed 38 questions on her multiple choice math final that had a total of 200 problems. What percentage of questions did Layla answer correctly?
Answer:
81%
Step-by-step explanation:
200-38= 162
162/200= 81/100
81%
URGENT!! Please help
Answer:
The measure of the largest angle is 72º.
Step-by-step explanation:
We will first solve for x. We know that the sum of the interior angles of a triangle is 180º, so 15x + 21x + 24x is equal to 180º. This means that 60x = 180º, so x = 3º. The largest angle is 24x, which is 72º.
what is slope intercept form of 3x-4y=6
Answer:
y=3/4x-3/2
Step-by-step explanation:
the equation right now is in standard form (ax+by=c)
Slope intercept form is y=mx+b
3x-4y=6
subtract 3x on both sides
-4y=-3x+6
divide by -4
y=3/4x-6/4
simplify
y=3/4x-3/2
hope this helps :)
Nelson lands 4650 on 2% interest rate. He plans to pay this after 2 months. What will the total principal and interest payment be?
The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.
To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.
First, let's find the interest amount:
Interest = Principal x Interest Rate x Time
Given:
Principal = $4650
Interest Rate = 2% per year
Time = 2 months
Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.
Interest = $4650 x 0.02 x (1/6) = $15.50
Now, we can calculate the total principal and interest payment:
Total Payment = Principal + Interest
Total Payment = $4650 + $15.50 = $4665.50
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Shireen decided to deposit her graduation gift money in two different savings accounts. Account X has an interest rate of .5% and Account Y has an interest rate of .25%. Altogether, she received $5000 from graduation. If after the first year Her interest earned was $21.25, how much was deposited into each account?a. Define your variables by assigning them to the real-world quantities in the problem.b. Write a system of equations in standard form you can use to solve for those quantities.c. Calculate the x and y intercepts for both equations.d. How much was deposited in each account? Use whatever method you want to solve thesystem of equations.
Let x= be the amount in the account with .5%
Let y be the amount in the account with .25%
We know that interest is
I = PRT
I = 21.25 and time is 1 year so t=1
I = x(.005)(1) + y (.0025)
We also know that the amount invested is 5000
x+y = 5000
The system of equations is
21.25 = .005x + .0025y
x+y = 5000
21.25 = .005x+.0025y
Let x = 0
21.25 = .0025y
21.25/.0025 =y
The y intercept is 8500
Let y =0
21.25 = .005x
21.25/.005 =x
The x intercept is 4250
x+y = 5000
Let x = 0
The y intercept is 5000
Let y =0
The x intercept is 5000
Using substitution
x = 5000-y
21.25 = .005(5000-y) + .0025y
21.25 = 25 - .005y +.0025y
21.25-25 = -.0025y
-3.75 = -.0025y
-3.75/-.0025 = y
1500 = y
Now find x
x+y = 5000
x+1500=5000
x = 5000-1500
x = 3500
Tell whether each statement is TRUE or FALSE.
Whether each statement is TRUE or FALSE are given below respectively.
Define parallelogram?A quadrilateral (a four-sided polygon) with two pairs of parallel sides is termed as parallelogram.The opposite sides of a parallelogram are parallel and congruent, meaning they have the same length.
As KA and RP are diagonals of the parallelogram KRAP, we have:
1. FALSE: PS and RS are not necessarily congruent.
2. TRUE: PK and RA are congruent since they are opposite sides of the parallelogram.
3. FALSE: PK and AR are not parallel.
4. TRUE: SR is half the length of PR, as they are diagonals of a parallelogram.
5. TRUE: ∠ARP is half of ∠ARK, as they are opposite angles of a parallelogram.
6. FALSE: ∠KAP and ∠RKP are not necessarily congruent.
7. TRUE: Point S is the midpoint of both diagonals KA and RP, and therefore the midpoint of AK.
8. FALSE: ∠PKR and ∠KRA are adjacent angles and add up to form a straight angle, not supplementary angles.
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A line that describes a proportional relationship between x and y is graphed on a coordinate grid. The line passes through (6, 2). Through what other point must the line pass?
The other point through which a line that describes a proportional relationship must pass is the point (0, 0)
What is a proportional relationship?A proportional relationship is one in which each the ratio of the x and y–values of each point on the line of the function is a constant.
The given relationship described by the line = A proportional relationship
The given point on the line = (6, 2)
Required; The other point through which the line must pass.
Given that the relationship described by the line, the ratio of all points on the line is a constant and each point (x, y) can be expressed in the form;
y = K•x
Which gives;
\( \displaystyle{ K = \frac{y}{x} }\)
Where, K is a constant which is not equal to zero.
From the zero product property, which states that the product of all numbers and zero is also zero, we have;
When x = 0, k × 0 = 0 = y
A point through the line must pass is therefore; (0, 0)
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